Answer:
c
Step-by-step explanation:
SOMEONE HELP PLZ!! just need to know what the domain and range is!
Answer:
C.
Step-by-step explanation:
The Domain is 1,2,3,4,5,6 because the line passes through there. The y-intercept is 1,2,3,4,5,6,7 because that is where it passes through.
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HELP MEEEEEE A florist has 8 tulips and 6 carnations. If the florist wants to create identical bouquets without any leftover flowers, what is the greatest number of bouquets the florist can make?
Answer:
She can make 2 bouquets
Step-by-step explanation:
Divide 8 and 6 by two.
8/2= 4
6/2= 3
she can only make two identical bouquets without any flowers left over
What is the measure of arc bec in circle d
The measure of arc BEC in circle D is 134°
Circle GeometryFrom the question, we are to determine the measure of arc BEC
Measure of arc BEC = 2 × m∠BAC
First, we will determine the measure of angle ACB
From one of the circle theorems,
The angle subtended by an arc of a circle is twice the angle it subtends anywhere on the circle's circumference
∴ m∠ACB = 1/2 × 76°
m∠ACB = 38°
Then,
m∠BAC + m∠ACB + m∠ABC = 180° (Sum of angles in a triangle)
m∠BAC + 38° + 75° = 180°
m∠BAC + 113° = 180°
m∠BAC = 180°- 113°
m∠BAC = 67°
Then,
Measure of arc BEC = 2 × m∠BAC
Measure of arc BEC = 2 × 67°
Measure of arc BEC = 134°
Hence, the measure of arc BEC is 134°
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find the equation of straight line passing through each of the following pairs of points
a) (2,4) and (7,2)
Answer:
The equation of the line is \(y = -\frac{2}{5}x + \frac{24}{5}\)
Step-by-step explanation:
Equation of a line:
The equation of a line has the following format:
\(y = mx + b\)
In which m is the slope and b is the y-intercept.
Slope:
Having two points, the slope is given by the change in y divided by the change in x. Points (2,4) and (7,2), so:
Change in y: 2 - 4 = -2
Change in x: 7 - 2 = 5
Slope: \(m = \frac{-2}{5} = -\frac{2}{5}\)
So
\(y = -\frac{2}{5}x + b\)
(2,4)
This means that when \(x = 2, y = 4\). So
\(y = -\frac{2}{5}x + b\)
\(4 = -\frac{2}{5}(2) + b\)
\(b = 4 + \frac{4}{5} = \frac{20}{5} + \frac{4}{5} = \frac{24}{5}\)
The equation of the line is \(y = -\frac{2}{5}x + \frac{24}{5}\)
State in words the rule defined by each of the functions below. For example, in (a) the rule for f is "multiply the input by 6"a) f(x) = 62.b) f(x) = 2x - 3.c) h(t) = 3 - 5.
Answer:
a) \(f(x) = 6x\)
if x = input
then the function of the input is to "multiply the input by 6"
b) \(f(x) = 2x - 3\)
the function of the input = two multiply by the input minus six
c) \(h(t) = t^3 - 5\)
the function of the input = the cube of the input minus five
Step-by-step explanation:
Given that:
a) \(f(x) = 6x\)
b) \(f(x) = 2x - 3\)
c) \(h(t) = t^3 - 5\)
The objective is to state in words the rule defined by each of the functions
We are being given the first question as a sample that:
a) \(f(x) = 6x\)
if x = input
then the function of the input is to "multiply the input by 6"
b) \(f(x) = 2x - 3\)
the function of the input = two multiply by the input minus six
c) \(h(t) = t^3 - 5\)
the function of the input = the cube of the input minus five
Please help with this onee!!
Answer:
below smallest to greatest:
Step-by-step explanation:
1) 1/4--> 3/8 --> 1/2
b) 4/9 --> 1/2 --> 2/3 -->5/6
c) 1/5--> 7/10 --> 3/4--> 4/5
he entire graph of the function is shown in the figure below.
Write the domain and range of using interval notation.
Someone please help me. I really nee help. this question is due tonight before 8 and im stuck.
The given graph shows that the function is periodic and fluctuates between y = -2 and y = 2. So, the range of the function is [-2,2].
The graph covers one period, which is from x = -3 to x = 3, and then repeats itself indefinitely in both directions. So, the domain of the function is (-∞, ∞).
In general, the domain of a function consists of all the possible input values that the function can take. In this case, since the function repeats itself indefinitely, it can take any input value from negative infinity to positive infinity.
So, the domain is (-∞, ∞). The range of a function, on the other hand, consists of all the possible output values that the function can produce.
In this case, the function oscillates between y = -2 and y = 2, so the range is [-2,2]. The interval notation for the domain is (-∞, ∞) and for the range is [-2,2].
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Looking the area in the triangle
Let a(x)=-12x^5-2x^3-9x, and b(x) = 3x^4 + x^2 + 1
Answer:
Me I'll get it as fast as I can okM
Please help me w this hehehehehh
Answer:
-25x-45y, because if we have got + and -, so we will write minus.
Data from www.centralhudsonlabs.com determined the mean number of insect fragments in 225-gram chocolate bars was 14.4, but three brands had insect contamination more than twice the average. Assume the number of fragments follows a Poisson distribution.
a. If you consume a 225-gram bar from a brand at the mean contamination level, what is the probability of no insect contaminants?
b. Suppose you consume a bar that is one-fifth the size tested (45 grams) from a brand at the mean contamination level. What is the probability of no insect contaminants?
c. If you consume seven 28.35 gram (one-ounce) bars this week from a brand at the mean contamination level, what is the probability that you consume one or more insect fragments in more than one bar?
d. Is the probability of contamination more than twice the mean of 14.4 unusual, or can it be considered typical variation? Explain.
a. The probability of no insect contaminants in a 225-gram bar from a brand at the mean contamination level can be found using the Poisson probability formula:
\(P(X = 0) = \frac{ (e^{-λ})(λ^0)}{0!} = \frac{(e^{-14.4})(14.4^0)}{0!}= 0.000000831\)
b. If you consume a bar that is one-fifth the size tested (45 grams) from a brand at the mean contamination level, the mean number of insect fragments would be one-fifth of 14.4, or 2.88. The probability of no insect contaminants can be found using the Poisson probability formula:
\(P(X = 0) = \frac{(e^-λ)(λ^0)}{0!} = \frac{(e^-2.88)(2.88^0)}{0!} = 0.056032\)
c. If you consume seven 28.35 gram (one-ounce) bars this week from a brand at the mean contamination level, the mean number of insect fragments would be (7 * 28.35/225) * 14.4 = 5.4336.
The probability of consuming one or more insect fragments in more than one bar can be found using the Poisson probability formula and the complement rule:
\($$\begin{aligned}& P(X>1) \\& =1-P(X \hat{a} 1) \\& =1-\left[\left(e^{-} \hat{I}\right)\left(\hat{I}^0\right) / 0 !+\left(e^{-} \hat{I}\right)\left(\hat{I}^1\right) / 1 !\right] \\& =1-\left[\left(e^{-} 5.4336\right)\left(5.4336^0\right) / 0 !+\left(e^{-} 5.4336\right)\left(5.4336^1\right) / 1 !\right] \\& =0.994784\end{aligned}$$\)
d. The probability of contamination more than twice the mean of 14.4 can be found using the Poisson probability formula and the complement rule:
\(P(X > 28.8) = 1 - P(X ≤ 28.8) \\= 1 - ∑(e^-λ)(λ^x)/x!\\ = 1 - 0.999999999999999 \\= 0.000000000000001\)
This probability is extremely small, so it can be considered unusual and not typical variation.
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3 Mallie purchases a $12,000 car by taking out a loan. She will pay an 8% sales tax on the price of the car. She has also agreed to pay the loan plus tax back within 36 months at a simple Interest rate of 5%. Find each value listed in the table below, as well as the minimum monthly payment Mallie should make in order to repay the loan within the allotted time. Use the space provided to show your process.
Point C is between A and B on AB. Use the given information to write an equation in terms of x. Then solve the equation to find x, AC, BC, and AB.
We have the following:
\(\begin{gathered} AB=AC+CB \\ AC=2x+5 \\ AB=27x \\ CB=5x+15 \end{gathered}\)replacing:
\(\begin{gathered} 27x=2x+5+5x+15 \\ 27x-2x-5x=20 \\ 20x=20 \\ x=\frac{20}{20} \\ x=1 \end{gathered}\)Therefore:
\(\begin{gathered} AC=2\cdot1+5=7 \\ AB=27\cdot1=27 \\ CB=5\cdot1+15=20 \end{gathered}\)x = 1
AC = 7
AB = 27
CB = 20
What is 6 quarts converted into pints
Answer:
48 pints
Step-by-step explanation:
8 pints in a quart
8x6 = 48
Answer:
12 pints
Step-by-step explanation:
for every 1 quart, it is equal to 2 pints, so 6x2=12
We wish to modify the cellular telephone coding system in order to reduce the number of errors. In particular, if there are two or three zeroes in the received sequence of 5 bits, we will say that a deletion (event D) occurs. Otherwise, if at least 4 zeroes are received, then the receiver decides a zero was sent. Similarly, if at least 4 ones are received, then the receiver decides a one was sent. We say that an error occurs if either a one was sent and the receiver decides zero was sent or if a zero was sent and the receiver decides a one was sent. For this modified protocol, what is the probability P[E] of an error? What is the probability P[D] of a deletion?
Solution :
Here, we have 5 trails that corresponds to the 5 times the binary symbol is sent. On each trail, success is said to occur when the binary symbol is received correctly. The probability of a success is p = 1 - q = 0.9 and q = 0.1
Now if the 0 is being transmitted, then the 0 is sent 5 number of times and then we call the decoding a 0 success. Let the repeated transmission are independent. In this case, we have 5 trails. Let each repeated bit the receiver decodes as 1 a success, using the binomial probabilities. We using the \($S_{k,5}$\) to denote an event of \($k$\) successes in the 5 trails, then the probability k are decoded at the receiver is:
\($P[S_{k,5}]=\binom{5}{k}p^k(1-p)^{5-k}$\)
\($=\binom{5}{k}(0.9)^k(1-0.9)^{5-k}$\)
\($=\binom{5}{k}(0.9)^k(0.1)^{5-k}$\)
Here, k = 1, 2, 3, 4, 5
The probability of the transmitted bit to be decoded correctly is:
\($P[C]=P[S_{5,5}]+P[S_{2,5}]$\)
\($=\binom{5}{3}(0.9)^5(0.1)^{0}+\binom{5}{4}(0.9)^4(0.1)^1$\)
\($=(0.9)^5+5(0.9)^4(0.1)^1$\)
= 0.91854
The probability that the deletion occurs is
\($P[D]=P[S_{3,5}]+P[S_{2,5}]$\)
\($=\binom{5}{3}(0.9)^3(0.1)^{2}+\binom{5}{2}(0.9)^2(0.1)^3$\)
\($=10(0.9)^3(0.1)^2+10(0.9)^2(0.1)^3$\)
= 0.081
The probability of an error is
\($P[E]=P[S_{1,5}]+P[S_{0,5}]$\)
\($=\binom{5}{1}(0.9)^1(0.1)^{4}+\binom{5}{0}(0.9)^0(0.1)^5$\)
\($=5(0.9)^1(0.1)^4+(0.1)^5$\)
= 0.00046
CAYMAN Sleep Couch PRICE Was R2-699 (including VAT) PRICE Now R1 999 (excluding VA Use information above to answer the questions that follow. 2.1 Show that the couch's original price excluding VAT was R2 346.96. 2.2 Show with calculation that a customer is expected to pay R2 299 incl nouding VAT when purchasing the couch at SALE price.
Given: cost of CAYMAN sleep couch with VAT is R2 699
cost without VAT is R1 999
What are the answers for 2.1 and 2.2 questions?2.1 To calculate the original price of the couch excluding VAT, we can use the following formula:
Price including VAT / 1 + (VAT rate / 100) = Price excluding VAT
In this case, the VAT rate is 15% (since it is included in the original price), so the formula is:
R2,699 / 1 + (15 / 100) = R2,346.96
2.2 To calculate the expected price of the couch including VAT at the sale price, we can use the following formula:
Price excluding VAT * (1 + (VAT rate / 100)) = Price including VAT
In this case, the VAT rate is still 15% and the sale price is R1,999 (excluding VAT), so the formula is:
R1,999 * (1 + (15 / 100)) = R2,299
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Kayla sells candy bars and cans of soda. She charges $3 for candy bars and $1 for soda. Yesterday she
sold 70 items altogether and earned $100) How much candy did she sell? How much soda?
There are 15 candy and 55 soda she sell.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Kayla sells candy bars and cans of soda. She charges $3 for candy bars and $1 for soda. Yesterday she sold 70 items altogether and earned $100.
Now, Let number of candy = x
And, Number of soda = y
Here, Yesterday she sold 70 items.
Hence, We get;
⇒ x + y = 70 .. (i)
And, She charges $3 for candy bars and $1 for soda and earned $100.
Hence, We get;
⇒ 3x + y = 100
⇒ y = 100 - 3x .. (ii)
Substitute the value of y from (ii) in (i);
⇒ x + y = 70
⇒ x + (100 - 3x) = 70
⇒ x + 100 - 3x = 70
⇒ - 2x + 100 = 70
⇒ 100 - 70 = 2x
⇒ 2x = 30
⇒ x = 15
And, from (i);
⇒ x + y = 70
⇒ 15 + y = 70
⇒ y = 70 - 15
⇒ y = 55
Thus, There are 15 candy and 55 soda she sell.
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What is the discounted price of an item that originally costs $75.00 and is receiving at 20% discount?
Answer:
15 US dollars
Step-by-step explanation:
What type of sequence is this? (2, 4, 8, 16, 32)
Answer: A factor of 2 between each number
Step-by-step explanation: 2 (*2), 4 (*2), 8, and so on...
Answer:
Geometric sequence
Step-by-step explanation:
In a geometric sequence you must multiply by a common ratio to get from one term to the next.
To get from 2 to 4, multiply by 2.
To get from 4 to 8, multiply by 2, and so on.
This means that the common ratio is 2
Which expression has both eight and N factors
Answer:
8n
Step-by-step explanation:
8n is the factor of both 8 and n. in the following question. Factor ⇒ If a number, that use to divide another number and we get zero as a remainder, the number is called the factor of another number.
Using the Classic Rock data in the Math 108 group on StatCrunch, create a histogram with the
variable PlayCount. When creating the histogram, check the box that says Value above bar and also check the Mean box. Answer the
following questions about the histogram. Recall that
there are 1651 songs played.
1. What percent of songs were played over 100 times?
1% (round to the nearest whole integer)
2. What is the mean?
songs (round to the nearest whole integer)
3. What percent of songs were played less than 20 times?
% (round to the nearest whole integer)
The product of the frequency and PlayCount gives the number of songs
played from the information in the histogram.
Correct responses (rounded to the nearest whole integer)
1. 2%
2. 27 PlayCount per song
3. 68%
How does one analyze an histogram?1. The given data from the histogram is presented in a tabular form as follows;
\(\begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|}f&899&224&126&96&71&52&39&41&44&23&14&12&3&4&3\\x&10&20&30&40&50&60&70&80&90&100&110&120&130&140&150\end{array}\right]\)
The percentages of song that where played over 100 times is given as follows;
∑f = 899+224+126+96+71+52+39+41+44+23+14+12+3+4+3 = 1651
Number of songs played over 100 times = 14 + 12 + 3 + 4 + 3 = 36
\(Percentage \ of \ songs \ played \ over \ 100 \ times = \mathbf{\dfrac{36}{1,651} \times 100} \approx \underline{2 \%}\)2. Mean of a frequency distribution is given as follows;
\(Mean = \mathbf{\dfrac{\sum f\times x}{\sum f}}\)
Where;
x = The PlayCount
From MS Excel, we have;
∑f·x = 44410
Which gives;
\(Mean = \dfrac{44410}{1651} \approx \underline{27}\)3. Number of songs played less than 20 times = 899 + 224 = 1,123
\(\mathbf{Percentage} \ of \ songs \ played \ less \ than \ 20 \ times = \dfrac{1,123}{1,651} \times 100 \approx \underline{ 68 \%}\)Learn more about percentages and histograms here:
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Find the value of x. The figure is not drawn to scale.
LOOK AT THE PICTURE ASAP!
Answer:
from the graph I think it's 16
Step-by-step explanation:
I m pretty sure that the correct answer is 24
16/2=8
16+8=24
x=24
I hope it helps
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please help me with my online classwork!
Answer:
840 cm²---------------------------
There are two triangular faces with base of 16 cm and height of 15 cm and three rectangular faces.
Find the sum of areas of all five faces:
S = 2*(1/2)*16*15 + (17*2 + 16)*12 = 240 + 600 = 840how many outfits can you make out of 2 helmets, 6 shirts, and 2 pairs of shorts
Answer:
2 OUTFITS
Step-by-step explanation:
17 ounces of canned beets for 3 .23 please show the division equation
The cost of the 1 ounces of canned beets is,
⇒ 3.23 / 17
⇒ 0.19
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.
For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
We have to given that;
⇒ 17 ounces of canned beets for 3.23.
Hence, We get;
The cost of the 1 ounces of canned beets is,
⇒ 3.23 ÷ 17
⇒ 3.23 / 17
⇒ 0.19
Therefore, The cost of the 1 ounces of canned beets is,
⇒ 0.19
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the least integer of a set of consecutive integers _25 if the sum of these integers is 26 how many integers are in this sets
Answer:
1
Step-by-step explanation:
Instead of building the enclosure of maximum area, the company wishes to build only a 20,000 square foot enclosure still using up all the fencing and situated with one side on the river. Find the dimensions of the enclosure that will satisfy these requirements by doing the following: 14. What equation can be solved to find the possible widths
Answer:
x = 80000/L f
Step-by-step explanation:
When using only three sides for fencing a rectangular area, sides will be
"x " and "y " x = 2*y x is the largest side of the rectangular area
we only fence one y side ( the other side is a river
So the perimeter is L = x + 2*y or L = 4*y
On the other hand if now the area will be 20000 f²
A = x*y = 20000 ⇒ y = 20000/ x
As the fence material is the same as that of the maximum area
L = 4*y L = 4* 20000 / x
L*x = 80000
Then x = 80000/L
Where L is the quantity of fencing material
What is the relationship between same-side interior angles?
Answer:
The relation between the same side interior angles is determined by the same side interior angles theorem the theorem for the same side interior angle theorem states. if a transversal intersects two parallel lines , each pair of same side interior angles are supplementary ( their sum is 180 degree
Refer to the table below. Of the 36 possible outcomes, determine the number for which the sum (for both dice) is composite
See image attached
Accοrding tο the prοvided statement, there will be 21 favοrable results.
What are cοmpοsite and prime numbers?A cοmpοsite number is a pοsitive integer that can be fοrmed by multiplying twο smaller pοsitive integers. Equivalently, it is a pοsitive integer that has at least οne divisοr οther than 1 and itself.
A prime integer οnly has twο factοrs: οne and itself. A cοmpοund integer is made up οf at least three cοmpοnents, and οccasiοnally much mοre.
A prime number (οr a prime) is a natural number greater than 1 that is nοt a prοduct οf twο smaller natural numbers. A natural number greater than 1 that is nοt prime is called a cοmpοsite number. Fοr example, 5 is prime because the οnly ways οf writing it as a prοduct, 1 × 5 οr 5 × 1, invοlve 5 itself. Hοwever, 4 is cοmpοsite because it is a prοduct (2 × 2) in which bοth numbers are smaller than 4.
Primes are central in number theοry because οf the fundamental theοrem οf arithmetic: every natural number greater than 1 is either a prime itself οr can be factοrized as a prοduct οf primes that is unique up tο their οrder.
4, 6, 8, 9, 10, 12 - these are the cοmpοsite numbers pοssible as sum.
Favοurable number οf οutcοmes = 21 ans.
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3. Which of the following is an example of overdraft protection?
A. Bank pays you interest on money in your savings account
B. Bank collects additional fees when you bounce a check
OC. ATM machine provides you with cash
D. Bank charges a large fee for bouncing a check
PLEASE HELP 4 $
Answer:
D. Bank charges a large fee for bouncing a check is not an example of overdraft protection.
Step-by-step explanation:
Overdraft protection is a service offered by banks that allows you to link your checking account to another account, such as a savings account or a line of credit. If you overdraw your checking account, the bank will automatically transfer funds from the linked account to cover the shortfall, which helps you avoid overdraft fees and other penalties.
Option A is not an example of overdraft protection as it refers to earning interest on money in your savings account, which is a separate service.
Option B refers to additional fees collected by the bank when you bounce a check, which is a penalty for not having sufficient funds in your account to cover the check.
Option C refers to an ATM machine providing you with cash, which is a basic function of an ATM and is not related to overdraft protection.