Answer:
1- c 75° 2- B and E
Step-by-step explanation:
1- 180- 30= 150 ÷ 2= 75°
What is the answer in the photo
The sales price of the item after deduction of percentage discount is: $18
How to find the discounted price?The regular price is defined as the price at which similar goods or services are regularly sold on the market.
The discount is defined as an amount or perhaps percentage deducted from the normal selling price of something.
The sales price is defined as the actual amount for which a good is sold after deduction of discount if any.
The parameters given are:
Regular Price = $20
Percentage Discount = 10%
Thus:
Discount = 10% * 20
Discount = $2
Thus:
Sales Price = $20 - $2
= $18
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If f(a)=4a-5 what is f(3)-f(1.25)
a. -8
b. 7
c. 17
d. 32
c)17
Step-by-step explanation:
What is the solution to the equation 6x+2-9x-1?
X=-3
0
X=-1
X=1
X = 3
Answer:
I believe it is 3?
Step-by-step explanation:
Answer: D (3)
Step-by-step explanation:
Edge2020
(rounding) 0.46. whats the nearest tenth?
Answer:
0.5
Step-by-step explanation:
4 is in the tenths place and 6 is in the hundredths place
Since the digit in the hundredths place (6) is greater than or equal to 5, add 1 to the digit in the tenths place (4)
1 + 4 = 5, so the digit in the tenths place becomes 5
The digit in the hundredths place is dropped
0.46 rounded to the nearest tenth (one decimal place) = 0.5
PLEASE HELP ASAP!!!!!!!!!!!!!!!
Answer:
the answer is D
Step-by-step explanation:
y=\(x^{2}\)+1
Which inequality is represented by this graph?
Help please :’/
Answer:A
Step-by-step explanation:
It is a solid line and the area below is shaded so it has to be less than the slope, hope this helped!
<!> Brainliest is appreciated! <!>
Answer:
Its A because you find the slope, -1/3 which is followed by x. The x intercept is 1 so you do plus one. Because the line is solid and negative, it makes it a less-than equal to sign. Hope this helps at all!
Step-by-step explanation:
5. Every year 3% of university students drop out of their course at
CleverClogs University. This year 12 people dropped out. How
many people started at the beginning of the year?
Total number of people 400 started at the beginning. To calculate the percentage, divide the value by the total value and multiply the result by 100.
What is meant by Percentage?A percentage is a number or ratio that can be expressed mathematically as a fraction of 100. Divide the number by the whole and multiply by 100 to get the percentage.As a result, the percentage represents a part out of 100. % stands for one hundred percent. The symbol "%" represents it. A percentage is a relative value that represents one-hundredth of a whole. One percent (symbolized 1%) represents one hundredth part; thus, 100 percentTherefore,
Percentage of students dropped = 3%
Number of people dropped this year= 12
To find Total students = (12/3) * 100 = 400
That is to find how many people dropped is = 400 *(3/100) = 12
so we can rearrange the formula .
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If g(x) = 6x + 21, what is g(4)?
Answer:
45
Step-by-step explanation:
g of x = g of 4
4 is the x
so 6(4) +21 is 24 + 21 which = 45
Answer:
-3
Step-by-step explanation:
A bag contains 12 red marbles and 10 blue marbles. A friend reaches in and selects 5 balls at 9. random, with replacement. For each red marble drawn you win $1; for each blue marble you lose $1. Let X denote your net winnings. (a) Find the probability mass function (p.m.f.) of X. (b) Suppose that instead of drawing with replacement your friend now draws 5 marbles without replacement. Find the modified p.m.f. of X, under this new situation.
a) The probability mass function of X is 0.0083
b) The modified p.m.f. of X, under this new situation is 0.1007
The probability of getting k red marbles and 5-k blue marbles on 5 draws without replacement is given by:
P(k red, 5-k blue) = (12 choose k) x (10 choose 5-k) / (22 choose 5)
where the binomial coefficients are the same as before, but the denominator is now the total number of ways to choose 5 marbles from a set of 22 marbles, without replacement.
Using this formula, we can find the probability of each value of X, as we did before:
P(X = -5) = P(0 red, 5 blue)
P(X = -5) = (12 choose 0) x (10 choose 5) / (22 choose 5) = 0.0083
The modified probability mass function of X, under this new situation is calculated as,
P(X = -3) = P(1 red, 4 blue) + P(0 red, 5 blue)
P(X = -3) = (12 choose 1) x (10 choose 4) / (22 choose 5) + (12 choose 0) x (10 choose 5) / (22 choose 5) = 0.1007
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Use the normal distribution of SAT critical reading scores for which the mean is 510 and the standard deviation is 124 . Assume the variable x is normally distributed. (a) What percent of the SAT verbal scores are less than 625 ? (b) If 1000 SAT verbal scores are randomly selected, about how many would you expect to be greater than 525 ? Click to view page 1 of the standard normal table. Click to view page 2 of the standard nomal table. (a) Approximately of the SAT verbal scores are less than 625 . (Round to two decimal places as needed.)
(a) The percentage of SAT verbal scores that are less than 625 can be determined by finding the area under the normal distribution curve to the left of 625.
To do this, we need to standardize the value of 625 using the formula z = (x - μ) / σ, where x is the value, μ is the mean, and σ is the standard deviation.
Using the given values:
x = 625
μ = 510
σ = 124
Calculating the z-score:
z = (625 - 510) / 124
z = 1.01
Next, we consult the standard normal table to find the cumulative probability associated with the z-score of 1.01. Looking up the value in the table, we find that the cumulative probability is approximately 0.8431.
To convert this probability to a percentage, we multiply it by 100:
Percentage = 0.8431 * 100
Percentage ≈ 84.31%
Therefore, approximately 84.31% of SAT verbal scores are less than 625.
(b) To estimate the number of SAT verbal scores that would be greater than 525 out of a random sample of 1000 scores, we can use the mean and standard deviation of the distribution. The proportion of scores greater than 525 can be approximated by finding the area under the curve to the right of 525.
Using the given values:
x = 525
μ = 510
σ = 124
Calculating the z-score:
z = (525 - 510) / 124
z = 0.12
We consult the standard normal table again to find the cumulative probability associated with the z-score of 0.12. The table shows that the cumulative probability is approximately 0.5480.
To estimate the number of scores greater than 525 out of a sample of 1000, we multiply the probability by the sample size:
Number of scores = 0.5480 * 1000
Number of scores ≈ 548
Therefore, we would expect approximately 548 out of 1000 SAT verbal scores to be greater than 525.
(a) approximately 84.31% of SAT verbal scores are less than 625, and (b) we would expect about 548 out of 1000 SAT verbal scores to be greater than 525.
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if i get 85% on my final that's worth 10% of my grade and i currently have 85%- what will my grade be?
The final grade you will have using a mixture word problem is 85%.
What is a mixture word problem?The mixture word method or mixture word problem is a method in mathematics to solve the problem when creating a mixture of two or more different things. This method will solve the problem of determining the quantity of mixture result.
In the question, we will mix two grades. So,
= (current grade * current worth grade) + (final exam grade * final exam worth grade)
= (85% * (100%-10%)) + (85% * 10%)
= 76.5% + 8.5%
= 85%
Thus, your final grade doesn't change if you get 85% on a final exam.
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a researcher wants to make a 95% confidence interval for the mean amount of time middle school students take to finish reading a book. if it is known that the standard deviation of reading time is 4.5 days , and the researcher wants to be within 0.5 days of the population mean, what sample size should the researcher use to conduct this research?
The researcher should use a sample size of approximately 312 middle school students to conduct the research.
To determine the sample size needed for the researcher to create a 95% confidence interval with a margin of error of 0.5 days, we can use the formula:
\(\[ n = \left(\frac{Z \cdot \sigma}{E}\right)^2 \]\)
Where:
- \(\( n \)\) is the sample size
- \(\( Z \)\) is the z-score corresponding to the desired confidence level (for 95% confidence, Z is approximately 1.96)
- \(\( \sigma \)\) is the known standard deviation of the population
- \(\( E \)\) is the desired margin of error
Plugging in the values, we get:
\(\[ n = \left(\frac{1.96 \cdot 4.5}{0.5}\right)^2 \]\)
To solve the equation for the required sample size, we can substitute the given values into the formula:
\(\[ n = \left(\frac{1.96 \cdot 4.5}{0.5}\right)^2 \]\)
Calculating this expression gives us:
\(\[ n = \left(\frac{8.82}{0.5}\right)^2 \]\)
\(\[ n = (17.64)^2 \]\)
\(\[ n \approx 311.1696 \]\)
Therefore, the researcher should use a sample size of approximately 312 middle school students to conduct the research.
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The following are the impulse responses of discrete-time LTI systems. Determine whether each system is causal and/or stable. Justify your answers. (a) h[n] = ()"u[n] (b) h[n] (0.8)"u[n+ 2] (c) h[n] = ()"u[n] (d) h[n] (5)"u[3 - n]
(a) System (a) is causal and stable.
(b) System (b) is causal and stable.
(c) System (c) is causal but unstable.
(d) System (d) is non-causal and unstable.
To determine causality, we need to check if the impulse response h[n] is non-zero only for non-negative values of n. If h[n] = 0 for n < 0, the system is causal.
(a) For system (a), h[n] = ()"u[n]. Here, h[n] is non-zero only for n ≥ 0, which satisfies the condition for causality. Therefore, system (a) is causal.
(b) For system (b), h[n] = (0.8)"u[n+2]. Here, h[n] is non-zero only for n+2 ≥ 0, which implies n ≥ -2. Hence, the system is causal.
(c) For system (c), h[n] = ()"u[n]. In this case, h[n] = 0 for n < 0, satisfying the condition for causality. However, the impulse response is unbounded as n → ∞ since ()"u[n] does not decay with increasing n. Therefore, system (c) is unstable.
(d) For system (d), h[n] = (5)"u[3 - n]. Here, the impulse response is non-zero for n > 3, violating the condition for causality. Hence, system (d) is non-causal.
To determine stability, we need to check if the impulse response h[n] is absolutely summable, i.e., ∑|h[n]| < ∞. If the sum is finite, the system is stable.
(a) For system (a), ()"u[n] is a geometric series that converges to a finite value for all n. Therefore, system (a) is stable.
(b) For system (b), (0.8)"u[n+2] is also a geometric series that converges to a finite value. Hence, system (b) is stable.
(c) For system (c), the impulse response ()"u[n] does not converge as n → ∞ since it does not decay. Therefore, system (c) is unstable.
(d) For system (d), (5)"u[3 - n] is also an unbounded sequence as n → ∞. Thus, system (d) is unstable.
(a) System (a) is causal and stable.
(b) System (b) is causal and stable.
(c) System (c) is causal but unstable.
(d) System (d) is non-causal and unstable.
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Little bit of help 15 points!
Answer:
Step-by-step explanation:
it is a
Please Help!!! Geometry!
The correct missing statement and the reason is NP = NO + OP by Segment Addition Property
Given: MONP
Prove: MN = OP
The Segment Addition Property states that,
When three locations A, B, and C are on the same line and point B is located between points A and C, the length of the line segment AC is equal to the sum of the lengths of the three line segments AB and BC.
In mathematical notation, this property can be represented as:
AB + BC = AC
Statements Reasons
1. MO = NP 1. Given
2. MO = MN+ NO 2. Segment Addition Property
3. NP = NO + OP 3. Segment Addition Property
4. MN+NO = NO+ OP 4. Substitution Property
5. MN = OP 5. Subtraction Property of Equality
Hence the correct option is 2nd.
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What has the greatest impact on your credit score? A. length of credit history B. punctuality of of payments C. amount of current debts D. how much amount of recent obtained credit
Answer:
B.punctuality of payments
Step-by-step explanation:
sana matulong
Someone please help asap
The coordinates of the vertices of the preimage, given that the scale factor is 1/2, would be A. (0, 0) ( 0, 10 ) ( -8, 4)
How to find the coordinates ?To find the coordinates of the preimage, take the coordinates of the larger triangle.
The reason for this is simply that the scale factor is a fraction and when the scale factor of a dilation is less than 1, the resulting image would be smaller than the preimage.
The larger triangle is therefore the preimage as the scale factor is 1/2 and the coordinates of the vertices would be (0, 0) ( 0, 10 ) ( -8, 4).
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factor the gcf: 12x3y 6x2y2 − 9xy3. 3x2y(4x2 2xy − 3) 3xy(4x 2xy − 3y2) 3xy(4x2 2xy − 3y2) 3x2y(4x3y − 2x2y2 − 3xy3)
The greatest common factor (GCF) of the expression 12x^3y, 6x^2y^2, and -9xy^3 is 3xy, and factoring out this GCF yields 3xy(4x^2 - 2xy - 3y^2).
To factor the GCF, we need to identify the common factors present in all the terms. In this case, the common factors among the terms are 3, x, and y. By factoring out the GCF, we can rewrite the expression as 3xy multiplied by the remaining factors.
The GCF, 3xy, is then distributed to each term within the parentheses. This process leaves us with the expression (4x^2 - 2xy - 3y^2) within the parentheses. By factoring out the GCF, we have effectively extracted the common factors, leaving behind the remaining factors that differ from term to term.
Thus, the correct factorization of the GCF is 3xy(4x^2 - 2xy - 3y^2), where the GCF 3xy has been factored out, and the remaining factors are contained within the parentheses.
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CC has the following beginning balances in its stockholders' equity accounts on January 1, 2012: Common Stock, $100,000; Additional Paid-in Capital, $4,100,000; and Retained Earnings, $3,000,000. Net income for the year ended December 31, 2012, is $800,000. Court Casuals has the following transactions affecting stockholders' equity in 2012:
May 18 Issues 25,000 additional shares of $1 par value common stock for $40 per share.
May 31 Repurchases 5,000 shares of treasury stock for $45 per share.
July 1 Declares a cash dividend of $1 per share to all stockholders of record on July 15. Hint: Dividends are not paid on treasury stock.
July 31 Pays the cash dividend declared on July 1.
August 10 Reissues 2,500 shares of treasury stock purchased on May 31 for $48 per share.
Taking into consideration all the entries described above, prepare the statement of stockholders' equity for the year ended December 31, 2012.
Total stockholders’ equity 7,800,000
Statement of stockholders’ equity for CC for the year ended December 31, 2012:Particulars Amount ($)
Common Stock 100,000
Additional Paid-in Capital 4,100,000
Retained Earnings (Opening Balance) 3,000,000
Add: Net Income for the year ended December 31, 2012 800,000
Total retained earnings 3,800,000
Less: Cash Dividend Declared on July 1 and paid on July 31 (200,000)
Retained earnings (Closing balance) 3,600,000
Total stockholders’ equity 7,800,000
Explanation:The given information is as follows:Common Stock on January 1, 2012 = $100,000Additional Paid-in Capital on January 1, 2012 = $4,100,000
Retained Earnings on January 1, 2012 = $3,000,000Net Income for the year ended December 31, 2012 = $800,000Cash Dividend Declared on July 1 and paid on July 31 = $200,000
To prepare the statement of stockholders’ equity for the year ended December 31, 2012, we will begin by preparing the opening balances of each of the equity accounts. We will then add the net income to the retained earnings account.
The closing balance for retained earnings is then computed by subtracting the cash dividend declared and paid from the total retained earnings. Finally, the total stockholders' equity is calculated by adding the balances of all the equity accounts.
Calculations:Opening balance of common stock = $100,000
Opening balance of additional paid-in capital = $4,100,000
Opening balance of retained earnings = $3,000,000
Net Income for the year ended December 31, 2012 = $800,000
Retained earnings (Opening Balance) = $3,000,000
Add: Net Income for the year ended December 31, 2012 = $800,000
Total retained earnings = $3,800,000Less: Cash Dividend Declared on July 1 and paid on July 31 = $200,000Retained earnings (Closing balance) = $3,600,000
Total stockholders’ equity = Common Stock + Additional Paid-in Capital + Retained Earnings (Closing balance) = $100,000 + $4,100,000 + $3,600,000 = $7,800,000
Therefore, the statement of stockholders’ equity for CC for the year ended December 31, 2012, is as follows:Particulars Amount ($)
Common Stock 100,000
Additional Paid-in Capital 4,100,000
Retained Earnings (Opening Balance) 3,000,000
Add: Net Income for the year ended December 31, 2012 800,000
Total retained earnings 3,800,000
Less: Cash Dividend Declared on July 1 and paid on July 31 (200,000)
Retained earnings (Closing balance) 3,600,000
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typically, in which type of claim is it most important to have a random sample?
It is most important to have a random sample in inferential statistics, particularly in making statistical inferences about a population based on the sample data.
Random sampling is a critical component of inferential statistics because it helps to ensure that the sample is representative of the population. When a sample is randomly selected, each member of the population has an equal chance of being included in the sample, which reduces the risk of bias in the results. Without a random sample, the results of statistical analyses may not be accurate or generalizable to the population, and the conclusions drawn from the data may be flawed or misleading.
Therefore, random sampling is crucial in making valid statistical inferences about a population.
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What is the solution to the equation? 2x - 4 = 6
The required solution to the equation 2x - 4 = 6 is x = 5.
Given equation: 2x - 4 = 6
To solve for x, we can add 4 to both sides of the equation:
2x - 4 + 4 = 6 + 4
Simplifying:
2x = 10
Finally, divide both sides of the equation by 2:
2x/2 = 10/2
x = 5
Therefore, the solution to the equation 2x - 4 = 6 is x = 5.
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answerd plz if correct 5 stars
Answer is in a photo. I couldn't attach it here, but I uploaded it to a file hosting. link below! Good Luck!
bit.\(^{}\)ly/3a8Nt8n
Answer:
choice c has a value of .9, so c
Step-by-step explanation:
i hope this helps
don’t really quite understand this question.
Answer:
D.
Step-by-step explanation:
Because its three times as much as 42 so its opposite of multiplication so its division with is also 3x=42 and to solve that you divide 3x by 3 and just get x then you divide 42 and 3 and u get your answer( im not gonna do the math lol)
What is the domain of this exponential function? y=2x
Answer:
x∈R
Step-by-step explanation:
\(y=2^{x}\)
2>0
The domain is all real numbers.
x∈R
let y1, . . . , yn iid∼ f(y). find the sampling distribution of: y(1) = min i yi
A modified version of the original distribution, the sampling distributive of y(1) has an upper bound equal to the minimum value in the sample and a lower bound of 0.
Let y1,..., yn have an f-distribution and be independently and identically distributed (iid) (y).
Ascertain the y(1) = min I yi sampling distribution. The sampling distribution of y(1) has a lower bound of 0 and an upper bound that is equal to the minimum of the sample yi. It is a truncated distribution of the original distribution f(y).
By integrating the initial distribution f(y) from 0 to the minimum of the sample yi, get the probability of each value of y(1).
A reduced version of the original distribution f(y), with a lower bound of 0 and an upper bound equal to the minimum of the sample yi, is the sampling distribution of y(1). We must integrate the initial distribution f in order to calculate this distribution (y)
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what is 40 divided 180
the answer to 40 divided by 180 is 4.5
Solve for b: 3b – 5 = 43
we have the following:
\(3b-5=43\)solving for b:
\(\begin{gathered} 3b-5=43 \\ 3b=43+5 \\ b=\frac{48}{3} \\ b=16 \end{gathered}\)therefore, the answer is 16
Answer: b=16
Step-by-step explanation: The file
What is the measure of angle FUN?
Answer:
what is this lol its not a question
Step-by-step explanation:
Solve for x in the equation x2-10x+25= 35-
X=5+2√ √5
O x=5± √√35
x=10+2√√/5
x = 10+ √√√35
0 0 0 0
The solution of the quadratic equation is x=5±√35 .
A quadratic equation is given by the equation which can be written in the form ax²+bx +c.
There are two solution of x for a quadratic equation. the graph of a quadratic equation is in the shape of a parabola in the cartesian plane.To solve a quadratic equation various methods are used:Completing of squaresMiddle term factorizationusing the quadratic formulathe given quadratic equation is :
x²-10x+25=35
Simplifying the equation we get:
or, x²-10x+25-35=0
or, x²-10x-10=0
Now we will solve the equation by completion squares method:
x²-10x-10=0
or, x²-2×x×5+5²-5²-10=0
or, (x-5)²=35
or, x-5=±√35
or, x= 5±√35
Therefore the solution of the quadratic equation is 5+√35 and 5-√35 .
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Jerome went on a hike. He climbed three-fourths of a mile in one-half of an hour. What was his hiking speed in miles per hour?
Answer:
1 1/8
Step-by-step explanation:
3/4= 0.75
2/3 = 0.666666667 so on...
divide and you get 1.125 which is also written as 1 1/8