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Arlecino [84]
2 years ago
13

(FASTEST AND BEST GETS BRAINLIEST)Josiah is shopping online and finds a great deal on chests of drawers. Josiah pays $27 for a c

hest of drawers that originally sold for $100. What percentage is the discount?
Write your answer using a percent sign (%).
Mathematics
1 answer:
Lemur [1.5K]2 years ago
5 0

Answer:

7*

Step-by-step explanation:

You might be interested in
Write an equation for the line through the points (7, 2) and (10,6) in point-slope form.
vovangra [49]

Answer:

Your answer is y-2=4/3(x-7)

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
4x - 2y =7<br> X +2y =3 <br> What is x and y ??
NARA [144]

Answer:

x=2. y=1/2

Step-by-step explanation:

4x-2y=7. Equation 1

x+2y=3. Equation 2

Add the two equations

(4x+x) +(-2y+2y) =7+3

5x+0=10

5x=10 divide both sides by 5

X=2

Substitute x=2 in equation 2

2+2y=3

2y=3-2

2y=1. Divide both side by 2

Y=1/2

7 0
3 years ago
The brand manager for a brand of toothpaste must plan a campaign designed to increase brand recognition. He wants to first deter
JulsSmile [24]

Answer:

1) n=114

2) n=59

3) On this case no, because if we survey just the adults of the nearest college that would be a convenience sample. And when we use "convenience sample" we have some problems associated to bias. This methodology it's not appropiate in order to have a good estimation of the parameter of interest. It's better use a random, cluster or stratified sampling.

Step-by-step explanation:

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

The population proportion have the following distribution

p \sim N(p,\sqrt{\frac{\hat p(1-\hat p)}{n}})

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 80% of confidence, our significance level would be given by \alpha=1-0.80=0.2 and \alpha/2 =0.1. And the critical value would be given by:

z_{\alpha/2}=-1.28, z_{1-\alpha/2}=1.28

Part 1

The margin of error for the proportion interval is given by this formula:  

ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}    (a)  

And on this case we have that ME =\pm 0.06 or 6% points, and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}   (b)  

Since we don't have a prior estimate of \het p we can use 0.5 as a good estimate, replacing into equation (b) the values from part a we got:

n=\frac{0.5(1-0.5)}{(\frac{0.06}{1.28})^2}=113.77  

And rounded up we have that n=114

Part 2

On this case we have a prior estimate for the population proportion and is \hat p =0.85 so replacing the values into equation (b) we got:

n=\frac{0.85(1-0.85)}{(\frac{0.06}{1.28})^2}=58.027

And rounded up we have that n=59

Part 3

On this case no, because if we survey just the adults of the nearest college that would be a convenience sample. And when we use "convenience sample" we have some problems associated to bias. This methodology it's not appropiate in order to have a good estimation of the parameter of interest. It's better use a random, cluster or stratified sampling.

5 0
3 years ago
Simplify<br> (-4-8i)-(-1-3i)
AfilCa [17]
3 - 2i is the answer .
8 0
3 years ago
Denise makes three times as many chocolate cupcakes as vanilla cupcakes. She also makes three dozen strawberry cupcakes. If Deni
slamgirl [31]

Answer:

6 dozens

Step-by-step explanation:

Vanilla, v = x

Chocolate, c = 3x

Strawberry, s = 3 dozens = 36

Total cupcakes = 132

Hence,

x + 3x + 36 = 132

4x = 96

x = 96 / 4

x = 24

Chocolate = 3 * 24 = 72

Dozens of chocolate = 72 /12 = 6 dozens

7 0
2 years ago
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