Answer:
A.
Step-by-step explanation:
He already had 100 into the account so we add that, 25x is derived from the fact that x=the amount of months and 25 is the amount per a month he saves.
WILL MARK BRAINLIEST! Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in standard form. 4, -8, and 2 + 5i A.) f(x) = x^4 - 6x^3 - 20x^2 + 122x - 928 B.) f(x) = x^4 - 19x^2 + 244x - 928 C.) f(x) = x^4 - 6x^3 + 20x^2 - 122x + 928 D.) f(x) = f(x) = x^4 - 61x^2 + 244x - 928
Answer:
B. f(x) = x^4 -19x^2 +244x -928
Step-by-step explanation:
Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in standard form.
4, -8, and 2 + 5i
A.) f(x) = x^4 - 6x^3 - 20x^2 + 122x - 928
B.) f(x) = x^4 - 19x^2 + 244x - 928
C.) f(x) = x^4 - 6x^3 + 20x^2 - 122x + 928
D.) f(x) = f(x) = x^4 - 61x^2 + 244x - 928
A polynomial function with real coefficients has complex roots in both conjugates, hence the minimum polynomial is of the 4th degree with roots
4, -8, 2 + 5i, 2 - 5i
A polynomial can be found by expanding the following factors:
P(x) = (x-4)(x+8)(x-2-5i)(x-2+5i)
= (x-4)(x+8)(x^2-4x+29)
= x^4 -19x^2 +244x -928
Is this a function? Please help me! I literally cant do this!
Answer:
Yes, this is a function.
Step-by-step explanation:
This is a function because every input goes to exactly one output. Although 1 is listed twice in this example, it still goes to the same output of 15.
What is the sum of all the angles that are labeled?
Image of three angles around a single vertex. One angle is fifty five degrees, one is sixty four degrees, and one is one hundred seventy five degrees.
The sum of all the angles that are labeled in the given vertex is 294°
In a single vertex, the three angles around the vertex are given as 55°, 64°, and 175°
We have to find the sum of all the angles that are labeled in the given single vertex.
What is a vertex?A vertex is a point two or more lines meets.
It is the corner of a geometrical shape.
Example:
A square has 4 corners so it has 4 vertexes.
A cube has 8 corners so it has 8 vertexes.
We will add all the different angles in the single vertex as shown in the figure below.
Let,
Angle A = 55°
Angle B = 64°
Angle C = 175°
The sum of all the angles that are labeled is:
= Angle A + Angle B + Angle C
= 55° + 64° + 175°
= 294°
The sum of all the angles that are labeled in the given vertex is 294°
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»Sasha is a journalist for an online magazine. She wants to know what topic readers are interested
in for the next publication.
Sasha puts a survey on the magazine's website and considers the first 25 responses.
Are conclusions drawn from this sample likely to be true for all readers of the magazine?
No, because the members of the sample are not part of the population of all
magazine readers.
No, because the sample would probably include only readers with strong feelings
about what they want to read about.
Yes, because the sample of the first 25 responses is a random sample.
Yes, because the readers in the sample choose to take the survey.
The correct answer is "No, because the sample members are not all magazine readers in the general population."
Define the term random sample?A sample chosen at random from a population is known as a random sample. This makes sure that everyone in the population has the same chance of getting into the sample.
The correct answer is "No, because the sample members are not all magazine readers in the general population."
This is because the sample of 25 respondents is likely to be too small and not representative of the entire population of readers. The sample may not accurately represent the opinions and interests of all readers, and there could be other factors that influence readership preferences that are not captured in the sample. Therefore, any conclusions drawn from this sample may not be true for all readers of the magazine. In order to draw more accurate conclusions about the entire population of readers, a larger and more representative sample would be needed.
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Answer: No, because the sample would probably include only readers with strong feelings about what they want to read about.
Step-by-step explanation:
The correct answer is "No, because the sample members are not all magazine readers in the general population."
Define the term random sample?A sample chosen at random from a population is known as a random sample. This makes sure that everyone in the population has the same chance of getting into the sample.
The correct answer is "No, because the sample members are not all magazine readers in the general population."
This is because the sample of 25 respondents is likely to be too small and not representative of the entire population of readers. The sample may not accurately represent the opinions and interests of all readers, and there could be other factors that influence readership preferences that are not captured in the sample. Therefore, any conclusions drawn from this sample may not be true for all readers of the magazine. In order to draw more accurate conclusions about the entire population of readers, a larger and more representative sample would be needed.
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Answer: No, because the sample would probably include only readers with strong feelings about what they want to read about.
Step-by-step explanation:
4. An angle is 50° more than its supplement. Find the angles.
Answer:
The angles measure \(65\)° and \(115\)°.
Step-by-step explanation:
Supplementary angles are a pair of angles whose measures add up to \(180\)°. In this case, we know that one angle is \(50\)° bigger than the other one, so if we let the measure of one angle be \(x\), then the measure of the other angle will be \(x+50\). Therefore, we can write the following equation to solve for
\(x+x+50=180\)
Solving for \(x\), we get:
\(x+x+50=180\)
\(2x+50=180\) (Simplify LHS)
\(2x+50-50=180-50\) (Subtract \(50\) from both sides of the equation to isolate \(x\))
\(2x=130\) (Simplify)
\(\frac{2x}{2}=\frac{130}{2}\) (Divide both sides of the equation by \(2\) to get rid of \(x\)'s coefficient)
\(x=65\)
Therefore, \(x+50=65+50=115\), so our final answer is that the angles measure \(65\)° and \(115\)°. Hope this helps!
One angle of an isosceles triangle measures 46°. Which other angles could be in that isosceles triangle?
Answer:
67 degrees for both of the other angles or 46 degrees and 88
Step-by-step explanation:
An isosceles triangle has two angle that are the same size so it could only be these.
report error the side lengths of $\triangle abc$ are $6$, $8$, and $10$. what is the inradius of $\triangle abc$?
The inradius of the triangle of the given dimensions will be equal to the value 2.
To find the inradius of a triangle, we need to know the semi perimeter of the triangle, which is half of the perimeter. The perimeter of a triangle is the sum of the lengths of its sides. So, the semi perimeter of triangle ABC is (6+8+10)/2 = 12.
Now that we know the semi perimeter, we can use the formula for the inradius of a triangle:
inradius = √(s-a)(s-b)(s-c)/s
where a, b, and c are the lengths of the sides of the triangle and s is the semi perimeter.
Plugging in the values for a, b, c, and s, we get:
inradius = √(12-6)(12-8)(12-10)/12 = √(6)(4)(2)/12 = √48/12} = √4 = 2
Therefore, the inradius of triangle ABC is 2.
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I need helppppppppp!!!!
determine whether the series is convergent or divergent. [infinity] k = 1 ke−k2
Answer:
Convergent
Step-by-step explanation:
One method to determine if \(\displaystyle \sum^\infty_{k=1}ke^{-k^2}\)is convergent or divergent is the Integral Test.
Suppose that the function we use is \(f(x)=xe^{-x^2}\). Over the interval \([1,\infty)\), the function is always positive and continuous, but we also need to make sure it is decreasing before we can proceed with the Integral Test.
The derivative of this function is \(f'(x) = e^{-x^2}(1-2x^2)\), so our critical points will be \(\displaystyle x=\pm\frac{1}{\sqrt{2}}\), but we can drop the negative critical point as we are starting at \(k=1\). Using some test points, we can see that the function increases on the interval \(\bigr[0,\frac{1}{\sqrt{2}}\bigr]\) and decreases on the interval \(\bigr[\frac{1}{\sqrt{2}},\infty\bigr)\). Since the function will eventually decrease, we can go ahead with the Integral Test:
\(\displaystyle \int_{{\,1}}^{{\,\infty }}{{x{{{e}}^{ - {x^2}}}\,dx}} & = \mathop {\lim }\limits_{t \to \infty } \int_{{\,1}}^{{\,t}}{{x{{{e}}^{ - {x^2}}}\,dx}}\hspace{0.5in}u = - {x^2}\\ & = \mathop {\lim }\limits_{t \to \infty } \left. {\left( { - \frac{1}{2}{{{e}}^{ - {x^2}}}} \right)} \right|_1^t\\ & = \mathop {\lim }\limits_{t \to \infty } \left( {-\frac{1}{2}{{e}}^{ - {t^2}}-\biggr(-\frac{1}{2e}\biggr)}} \right) = \frac{1}{2e}\)
Therefore, since the integral is convergent, the series must also be convergent by the Integral Test.
Help HELP HELP HELP URGENT
Answer:
28
Step-by-step explanation:
Given the base and height, we can split the triangle into 2.
So now the height for our right triangle with still be 25 but the base will become half of what it used to be which is 12.
Using the Pythagorean Theorem:
A^2+B^2=H^2
a = side of right triangle
b = side of right triangle
c = hypotenuse
Plugin the values
25^2+12^2=H^2
625+144=H^2
769=H^2
27.73=H
Rounded to 28
Hope this helps :)
On 1 October 2015 Karen purchased freehold land and buildings for £480,000, of which the land element was £80,000. The buildings had a useful life of 25 years at the date of purchase. The residual value was nil.
On 1 October 2020 the land and buildings were revalued to £500,000, of which the land element was £100,000. There was no change in the useful life of the property.
According to IAS 16 Property, Plant and Equipment, what should be the depreciation charge for the year ended 30 September 2021 and the balance on the revaluation surplus as at that date?
A Depreciation charge £16,000; revaluation surplus £100,000
B Depreciation charge £20,000; revaluation surplus £100,000
C Depreciation charge £25,000; revaluation surplus £116,000
D Depreciation charge £20,000; revaluation surplus £116,000
Accoding to the calculations , the correct answer is:
A) Depreciation charge 16,000; revaluation surplus £20,000
According to IAS 16 Property, Plant and Equipment, the depreciation charge for an asset should be based on its carrying amount, useful life, and residual value.
In this case, the buildings were purchased for £400,000 (£480,000 - £80,000) and had a useful life of 25 years. Since there is no residual value, the depreciable amount is equal to the initial cost of the buildings (£400,000).
To calculate the annual depreciation charge, we divide the depreciable amount by the useful life:
£400,000 / 25 = £16,000
Therefore, the depreciation charge for the year ended 30 September 2021 is £16,000.
Now, let's calculate the balance on the revaluation surplus as at that date.
The revaluation surplus is the difference between the fair value of the property and its carrying amount. On 1 October 2020, the property was revalued to £500,000, and the carrying amount was £480,000 (£400,000 for buildings + £80,000 for land).
Revaluation surplus = Fair value - Carrying amount
Revaluation surplus = £500,000 - £480,000
Revaluation surplus = £20,000
Therefore, the balance on the revaluation surplus as at 30 September 2021 is £20,000.
Based on the calculations above, the correct answer is:
A) Depreciation charge £16,000; revaluation surplus £20,000
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Prove the theorem by first setting up a one-to-one correspondence between permutations of nn objects with nini indistinguishable objects of type ii, ii=1, 2, 3, ..., kk, and the distributions of nn objects in kk boxes such that nini objects are placed in box ii, ii=1, 2, 3, ..., kk and then applying that the number of different permutations of nn objects, where there are n1n1 indistinguishable objects of type 1, n2n2 indistinguishable objects of type 2, ...., and nknk indistinguishable objects of type kk is n!n1!n2!...nk!n1!n2!...nk!n!.Theorem: The number of ways to distribute nn distinguishable objects into kk distinguishable boxes so that nini objects are placed into box ii, ii=1,2,...,kk, equals
In every distribution of k boxes containing n distinct objects, where box i receives ni. Let Si stand for the set that includes those ni identifiable items for i = 1, 2,..., k.
Given,
he collection of objects can be expressed equivalently as k, i = 1 Si has the following object types: left| S 1 |right| = n 1S number of items of type 1, left |S2| right| = n 2S number of objects of type 2, and so on.
In this case, type i denotes objects that fit into box i and are therefore interchangeable. By simply permuting these sets, one can obtain all conceivable distributions of objects. kS I 1, 2, and S i
The number of distribution options is equal to the number of these permutations for i=1, 2,..., k.
n!/(n₁!,n₂!...nₐ!)
That is,
In every distribution of k boxes containing n distinct objects, where box i receives ni. Let Si stand for the set that includes those ni identifiable items for i = 1, 2,..., k.
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given a 14 percent return how long would it take to triple your
investment, solve using time value formula
It would take approximately 9.4 years to triple your investment with a 14% return, assuming compound interest.
To determine how long it would take to triple your investment with a 14% return, we can use the compound interest formula
Future Value = Present Value × (1 + Interest Rate)ⁿ
In this case, the Future Value is three times the Present Value, the Interest Rate is 14% (or 0.14), and we want to solve for Time.
Let's denote the Present Value as P and the Time as n:
3P = P × (1 + 0.14)ⁿ
Now, we can simplify the equation:
3 = (1.14)ⁿ
To solve for n, we need to take the logarithm of both sides of the equation. Let's use the natural logarithm (ln) for this calculation:
ln(3) = ln((1.14)ⁿ)
Using the logarithmic property, we can bring down the exponent:
ln(3) = n × ln(1.14)
Now, we can solve for t by dividing both sides of the equation by ln(1.14):
n = ln(3) / ln(1.14)
we can find the value of t:
n ≈ 9.4
Therefore, it would take approximately 9.4 years to triple your investment with a 14% return, assuming compound interest.
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Ann and Bill shared £440 in the ratio 9 : 2
Ann gives Bill some of her money.
Bill now has the same amount as Ann.
How much does Ann give Bill?
Ann will get a payment of £220.
What is a payment transaction?Payment Transaction refers to any placement, transfer, or withdrawal of monies that is initiated by the Payer, or on his or her behalf, or by the Payee, and is unrelated to any underlying commitments between the Payer and the Payee.The relevant nature of the payment, along with the applicable tax rate, section, payment code, and threshold limit, is determined by the department for payments subject to TDS. You can pick the necessary nature of payment by pressing Ctrl+C while generating a TDS Nature of Payment.Cash payments are made to the provider of goods or services by the recipient in the form of banknotes or coins. It may also entail paying employees within a company for the hours they worked or compensating them for tiny expenses that are too little to be processed through the accounts payable system.So, according to the question, the correct logic will be:
The money will be split in half between Ann and Bill.Ann will therefore be given the same sum as Bill.Ann will get a payment of £220.Therefore, Ann will get a payment of £220.
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What is the slope of the following equation: Y=4x-2
Answer:
slope is 4 and intercept on y-axis is -2.
Someone please help me. This is so stressful.
Step-by-step explanation:
The answer is 4.
It is telling you to find the slope of the given line.
That mean you got to calculate the gradient and the formula is the rise(vertical axis/y) divide by the run(horizontal axis/x) which is also as i have written (y2 - y1) /(x2 - x1).
The table shows the battery life of four different mobile phones.
Answer:
phone B
Step-by-step explanation:
what is the average value of f(x)⋅g(x)f(x)⋅g(x) on 0≤x≤20≤x≤2?
To find the average value of f(x)⋅g(x) on 0≤x≤2, we need to first find the integral of f(x)⋅g(x) over the given interval. This can be done by multiplying the functions and integrating the resulting product over the given interval using the definite integral. Once we have the integral, we can divide it by the length of the interval to find the average value.
Assuming we have the functions f(x) and g(x), we can write the integral as:
∫0^2 f(x)⋅g(x) dx
Solving this integral will give us the value of the area under the curve of the product function between the limits of 0 and 2. Once we have this value, we can divide it by the length of the interval (which is 2 in this case) to get the average value of the function.
It's important to note that without knowing the specific functions f(x) and g(x), we cannot give a specific answer to this question. However, we can provide a general method for finding the average value of a product function over a given interval using integration.
In summary, to find the average value of f(x)⋅g(x) on 0≤x≤2, we need to find the integral of the product function over the interval and divide it by the length of the interval.
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Newsvendor: National Geographic still sells a considerable number of copies. Its demand for the August issue is forecasted to be normally distributed with a mean of 80 and a standard deviation of 25. If a store stocks 100 copies, how many copies can they expect to return to the publisher at the end of the month
Thus, the store can expect to return about 36 copies to the publisher at the end of the month.
The newsvendor problem is a classic inventory optimization problem that seeks to balance the costs of overstocking and understocking.
In this case, we have the demand for the August issue of National Geographic magazine, which is normally distributed with a mean of 80 and a standard deviation of 25.
The store stocks 100 copies of the magazine and wants to know how many copies it can expect to return to the publisher at the end of the month.
To solve this problem, we need to use the normal distribution formula, which is:
Z = (X - μ) / σ
where Z is the standard score, X is the number of copies sold, μ is the mean, and σ is the standard deviation.
We can use this formula to find the probability of selling all 100 copies, which is:
Z = (100 - 80) / 25 = 0.8
P(Z < 0.8) = 0.7881
This means that there is a 78.81% chance of selling all 100 copies.
To find the expected number of returns, we can subtract the expected number of sales from the initial stock:
Expected returns = 100 - (80 x 0.7881) = 36.36
Therefore, the store can expect to return about 36 copies to the publisher at the end of the month.
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Question in florida, 55% of adults live in a house, 25 of adults live in an apartment, 4.6% of adults live in a condo and the rest live on a boat. what percent of people live on a boat? write the equivalent decimal and fraction to represent the percent you solved for.
The percentage of people living on boat in Florida is 15.4%. The equivalent of this percentage to decimal is 0.154 and to fraction is 77/500.
55% live in a house, 25% live in an apartment, 4.6% in condo while the rest live on a boat. If all the percentages are summed up, they must be equal to 100%.
Let a% equals to the percentage of adult living on boat
55+25+4.6+a = 100
84.6 + a = 100
Collect like terms
a = 100 - 84.6
a = 15.4%
Therefore, the percentage of adult living on boat is 15.4%
To convert the percentage to decimal equivalence, one must divide it by 100%
15.4%/100%
= 15.4/100
= 0.154
To convert the percentage to fraction equivalence, one have to divide it by 100%
15.4%/100%
= 15.4/100
One has to make both the numerator and denominator of the fraction whole numbers, to do that one has to shift the decimal place behind the last digit, for a number without decimal point a 0 is added to the back of the number.
= 154/1000
Reducing the fraction to its lowest term, this is done by diving the numerator and denominator by a common factor
= 77/500
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a) Using indices rules, simplify the following expression. Give your answer as a power of 3.
3^3 x 3^6/ 3^2 x 3^5
b) Perform the following conversions:
i) Convert 20.22% to a decimal number
ii) Convert 0.16 to a fraction in its simplest form
c) Find the highest common factor (HCF) and lowest common multiple (LCM) of the following two numbers: 24 and 60. [10 marks] Question 2
a) Simplifying 3^3 x 3^6/ 3^2 x 3^5 using indices rules:We can use the quotient rule of indices which states that when dividing powers of the same base, you subtract the powers. Here, we have a common base of 3.Thus,3^3 x 3^6/ 3^2 x 3^5 = 3^(3+6-2-5) = 3^2Therefore, the main answer is 3^2.b) Conversions:i) To convert 20.22% to a decimal number, we divide by 100:20.22/100 = 0.2022Therefore, 20.22% as a decimal number is 0.2022.ii) To convert 0.16 to a fraction in its simplest form, we first write 0.16 as 16/100.Then, we can simplify the fraction by dividing the numerator and denominator by their greatest common factor, which is 16:16/100 = 1/6.25Therefore, 0.16 as a fraction in its simplest form is 1/6.25.c) Finding the HCF and LCM of 24 and 60:The prime factorization of 24 is 2^3 x 3^1.The prime factorization of 60 is 2^2 x 3^1 x 5^1.The HCF is the product of the common factors with the lowest power. Here, the only common factor is 2^2 x 3^1.HCF of 24 and 60 = 2^2 x 3^1 = 12.The LCM is the product of the highest powers of the prime factors. Here, the prime factors are 2, 3 and 5.LCM of 24 and 60 = 2^3 x 3^1 x 5^1 = 120.Therefore, the answer in more than 100 words is:1. In the first part of the question, we used the quotient rule of indices to simplify the expression 3^3 x 3^6/ 3^2 x 3^5. This rule states that when dividing powers of the same base, you subtract the powers. We subtracted the powers of 3 to obtain 3^2 as our final answer.2. In the second part of the question, we performed two different conversions. First, we converted 20.22% to a decimal number by dividing by 100. Then, we converted 0.16 to a fraction in its simplest form by first writing it as a fraction with denominator 100 and then simplifying the fraction by dividing the numerator and denominator by their greatest common factor.3. In the third part of the question, we found the HCF and LCM of 24 and 60. We used the prime factorization method to find the prime factors of both numbers and then used these prime factors to find the HCF and LCM. The HCF is the product of the common factors with the lowest power, while the LCM is the product of the highest powers of the prime factors.
a) Using laws of Indices, we have the solution as: 3²
b) 0.2022.
ii) 4/25
c) HCF = 12
LCM = 12
How to solve Laws of Indices?a) We want to simplify the expression given as:
(3³ × 3⁶)/(3² × 3⁵)
Using the quotient law of indices, we know that when dividing powers of the same base, we subtract the powers. While when multiplying, we add the powers.
The common base is 3 and as such the solution will be:
3³⁺⁶⁻²⁻⁵ = 3²
b) i) We want to convert 20.22% to a decimal number. We can rewrite it as:
20.22/100 = 0.2022.
ii) We want to convert 0.16 to a fraction in its simplest form. This can be rewritten as:
0.16 = 16/100.
Simplifying further gives us 4/25.
c) We want to find the HCF and LCM of 24 and 60.
The prime factors of 24 are: 2 * 2 * 2 * 3.
The prime factorization of 60 gives: 2 * 2 * 3 * 5.
The HCF is the product of the common factors with the lowest power. Thus, HCF of 24 and 60 = 2 * 2 * 3 = 12.
LCM is the product of the highest powers of the prime factors.
Thus, LCM of 24 and 60 = 2 * 2 * 2 * 3 * 5 = 12
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Shelby made equal deposits at the beginning of every 3 months into an RRSP. At the end of 9 years, the fund had an accumulated value of $55,000. If the RRSP was earning 3.50\% compounded monthly, what was the size of the quarterly deposits? Round to the nearest cent
The size of the quarterly deposits in Shelby's RRSP account was approximately $147.40.
Let's denote the size of the quarterly deposits as \(D\). The total number of deposits made over 9 years is \(9 \times 4 = 36\) since there are 4 quarters in a year. The interest rate per period is \(r = \frac{3.50}{100 \times 12} = 0.0029167\) (3.50% annual rate compounded monthly).
Using the formula for the future value of an ordinary annuity, we can calculate the accumulated value of the RRSP fund:
\[55,000 = D \times \left(\frac{{(1 + r)^{36} - 1}}{r}\right)\]
Simplifying the equation and solving for \(D\), we find:
\[D = \frac{55,000 \times r}{(1 + r)^{36} - 1}\]
Substituting the values into the formula, we get:
\[D = \frac{55,000 \times 0.0029167}{(1 + 0.0029167)^{36} - 1} \approx 147.40\]
Therefore, the size of the quarterly deposits, rounded to the nearest cent, is approximately $147.40.
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A map is set to a scale factor of 32 mm = 1 km use this scale to answer this question. please show steps to answer the question.
3.Using the scale from the map in question 1, if the distance between two towns is 25 kilometers, how many millimeters apart will the towns be on the map?
Answer:
800
Step-by-step explanation:
32mm=1km
32 x 25= 800
800=25km
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pls help me, here's the screenshot and see how y'all can help me
We can say that the y intercept is at the location (0,-1)
This is where the graph crosses the vertical y axis. This is 1 unit below the origin.
This is assuming each tickmark on the grid represents 1 unit.
Answer:
The y- intercept is (0,-1)
Step-by-step explanation:
A y- intercept is when a point intercepts (crosses) the y- axis. Since the dot does not cross the x- axis, that point will be 0. It is below the y- axis, meaning it will be -1.
A company currently has 200 units of a product on-hand that it orders every two weeks (14 days) when the salesperson visits the premises. Demand for the product averages 20 units per day with a standard deviation of 5 units. Lead time for the product to arrive is seven days. Management has a goal of a 95 percent probability of not stocking out for this product. The salesperson is due to come in late this afternoon when 180 units are left in stock (assuming that 20 are sold today). How many units should be ordered?
To determine the number of units that should be ordered, we need to consider the lead time, demand, and the desired probability of not stocking out.
1. First, let's calculate the demand during the lead time. Since the lead time is 7 days and the average daily demand is 20 units, the demand during the lead time is 7 days * 20 units/day = 140 units.
2. Next, we calculate the safety stock needed to achieve the 95% probability of not stocking out. The safety stock is the product of the standard deviation and the Z-score corresponding to the desired service level. For a 95% probability, the Z-score is 1.65. So, the safety stock is 1.65 * 5 units = 8.25 units (rounding up to 9 units).
3. Now, we calculate the reorder point, which is the sum of the demand during the lead time and the safety stock. Reorder point = 140 units + 9 units = 149 units.
4. Finally, we subtract the current on-hand units and the units sold today from the reorder point to determine the number of units to be ordered. Units to be ordered = 149 units - 180 units + 20 units = -11 units.
Since we cannot order a negative number of units, we conclude that no units should be ordered in this scenario.
Based on the given information and calculations, no units should be ordered in this case as there is no need to replenish the stock.
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jackie has a checking account. For each day that her checking account balance falls below zero, she is charged by the bank a fee of $7.50 per day. Her current balance in the account is –$12.50. If she does not make any deposits or withdrawals, what will be the new balance in her account after 2 days? Show your work.
The new balance in Jackie's account after 2 days will be -$27.50.
How to illustrate the expression?It should be noted that for each day that her checking account balance falls below zero, she is charged by the bank a fee of $7.50 per day.
Since her current balance in the account is –$12.50, the new balance after 2 days will be:
= -12.50 + (-7.50 × 2)
= -12.50 + -15
= -27.50
The balance is -27.50
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There are a total of 8 tiles in the bag containing the
following letters: G, I, R, V, I, A, I and N.
a) What is the probability of selecting an I, keeping it, then an A?
The probability of selecting an I is
b) Does the probability of selecting an A increase or decrease after the first “I” tile is pulled from the bag?
c) What is the probability of drawing all three “I” tiles from the bag, one at a time?
d) Will drawing an “A,” keeping it, then drawing an “I” be more or less likely than drawing an “I,” keeping it, then drawing another “I”?
Answer:
a) P(IA) = 3/56; P(I) = 3/8
b) increases
c) 1/56
d) less
Step-by-step explanation:
You want various probabilities related to drawing letters from a bag containing the letters G, I, R, V, I, A, I, and N.
The probability of drawing a given letter is the ratio of the number of that letter in the bag to the total number of letters in the bag.
a) P(IA) without replacementThere are 3 letters I in the bag. There is only one of each of the other 5 letters.
P(I) = 3/8
P(A after I) = 1/7
The probability of a sequence of I then A is the product of these probabilities:
P(IA) = (3/8)(1/7) = 3/56
b) Change in P(A)
Before the first I is pulled from the bag, P(A) = 1/8.
After the first I is pulled from the bag, P(A) = 1/7, an increase in the probability.
(You can see that the probability of selecting an A increases after each non-A letter is drawn. Ultimately, after the other 7 letters are drawn, P(A) = 1, as it is the only one left.)
c) P(III)P(I) = 3/8 on the first draw
P(I) = 2/7 after the first I is drawn
P(I) = 1/6 after the second I is drawn
P(III) = (3/8)(2/7)(1/6) = 1/56
d) P(AI) vs P(II)
P(AI) = (1/8)(3/7) = 3/56
P(II) = (3/8)(2/7) = 6/56 = 3/28
Drawing A then I is less likely than drawing I then I.
There are 20 monkeys in a zoo.
There are 4 times as many monkeys as tigers.
How many tigers are there?
Answer:
5
4u=20
1u=20÷4=5
Step-by-step explanation:
4u=20
1u=20÷4=5
The sum of a geometric series is 55.5625. The first term of the series is 28, and its common ratio is 0.5. How many terms are there in the series?
(Type a whole number.)
The number of terms in geometric series with common ratio 0.5 is 5.
What is a geometric series?A geometric series is a set of integers where each term following the first is created by multiplying the term before it by a predetermined value called the common ratio. To put it another way, each term in the series is created by multiplying the term before it by a set integer.
The sum of a finite geometric sequence is given by the formula:
\(S = a(1 - r^n)/(1 - r)\)
Where, S is the sum of the series,
a is the first term,
r is the common ratio, and n is the number of terms.\(55.5625 = 28(1 - 0.5^n)/(1 - 0.5)\\\\55.5625(1 - 0.5) = 28(1 - 0.5^n)\\27.5625 = 28 - 28(0.5)^n\\0.4375 = (0.5)^n\\n = log(0.4375)/log(0.5)\\n = 4.17\)
Rounding the numbers, we have n = 5.
Hence, the number of terms in geometric series is 5.
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Question 4 of 10
Which statement about setting is true as it relates to a story?
A. Setting helps to define a story's point of view.
B. Setting is another word for characterization.
Ο Ο Ο
C. Setting affects character behavior, which drives the plot.
D. Setting comes into play at the end of a story.
SUBMIT
Answer:
First of all not a math question but wtv
the answer is C since where the story takes place affects what the characters do
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