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3 years ago

Both A and R are true, R is the correct explanation for A

Mathematics

1 answer:

docker41 [41]3 years ago

8 0

I would say it's "A is false, R is true"

Look at it this way, (R is talking): A is false, this is obviously true.

It wouldn't really work the other way.

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What yourss????????????????

alex41 [277]

The rectangel is it. Trust me

6 0

3 years ago

Read 2 more answers

A random sample of 500 of these people is drawn, of whom 194 turn out to be currently enrolled in college. Estimate the percenta

Rzqust [24]

Answer:

$0.388 - 2.00\sqrt{\frac{0.388(1-0.388)}{500}}=0.344$

$0.388 + 2.00\sqrt{\frac{0.388(1-0.388)}{500}}=0.432$

The 95.5% confidence interval would be given by (0.344;0.432)

Step-by-step explanation:

Previous concepts

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

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

Solution to the problem

The estimated proportion on this case is given by:

$p = \frac{X}{n}= \frac{194}{500}=0.388$

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 95.5% of confidence, our significance level would be given by $\alpha=1-0.955=0.045$ and $\alpha/2 =0.0225$ . And the critical value would be given by:

$z_{\alpha/2}=-2.00, z_{1-\alpha/2}=2.00$

The confidence interval for the mean is given by the following formula:

$\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$

If we replace the values obtained we got:

$0.388 - 2.00\sqrt{\frac{0.388(1-0.388)}{500}}=0.344$

$0.388 + 2.00\sqrt{\frac{0.388(1-0.388)}{500}}=0.432$

The 95.5% confidence interval would be given by (0.344;0.432)

4 0

3 years ago

7m+12 over 8= 2m-1 over 3

Sonja [21]

Answer:

m=-44/5

Step-by-step explanation:

(7m+12)/8=(2m-1)/3

cross product

8(2m-1)=3(7m+12)

16m-8=21m+36

16m-21m-8=36

-5m-8=36

-5m=36+8

-5m=44

m=44/-5

m=-44/5

4 0

4 years ago

Round 24,299 to the nearest thousand

seraphim [82]

Answer:

Your anser is 24,000

Step-by-step explanation:

If the number is above 5 or is 5 then the number goes up but if the number is 4 and under the number stay's the same

3 0

4 years ago

Need some help for Exponents.

Alexeev081 [22]

Answer:

1) 25

2) 32,768

3) 729

4) 16 or 2^4

5) 117,649 or 7^6

6) 5.29 or 2.3^2

Not sure what 7-12 mean

13) 1 mile 64-63=1

14) Mali bought a new car. She drove 63 miles the first month and 100 the second month. How much further did she drive the second month? Explain each step. 37 miles 100-63=37

15) An exponet is a number raised to a power, which means that number times itself that many times. It is used because it's alot easier to go 7^6 than 7x7x7x7x7x7.

16) 8^5= 32,768 6^6= 46,656 5^7= 78,125 5^5= 3,125 4^10= 1,048,576

Step-by-step explanation:

7 0

3 years ago