The sum of two numbers is 45 and their difference is 7. Find the numbers. *

To be a member of the choir, you must go to an audition. Henry's cousin is a member of the choir. What conjecture can you make a

ratelena [41]

Answer:

A) Henry’s cousin practices with the choir

Step-by-step explanation:

becuase it says "Henry's cousin is a member of the choir."

4 0

3 years ago

I am an odd number, I am less than 100, the sum of my digits is 12, I am a multiple of 15. What number am I

vova2212 [387]

The answer is 3
Think of two odd numbers (1,3,5,7,or 9) that add up to twelve.
The number as one has to be a multiple of 15 (15 should be able to be multiplied by any number to get to that odd number).

3 0

3 years ago

Read 2 more answers

Fewer young people are driving. In , of people under years old who were eligible had a driver's license. Bloomberg reported that

insens350 [35]

Complete Question

Fewer young people are driving. In 1995, 63.9% of people under years 20 old who were eligible had a driver's license. Bloomberg reported that percentage had dropped to 41.7% in 2016. Suppose these results are based on a random sample 1,200 of people under 20 years old who were eligible to have a driver's license in 1995 and again in 2016.

a. At 95% confidence, what is the margin of error and the interval estimate of the number of eligible people under 20 years old who had a driver's license in 1995?

Margin of error(to four decimal places)

Interval estimate (to four decimal places)

b. At 95% confidence, what is the margin of error and the interval estimate of the number of eligible people under 20 years old who had a driver's license in 2016?

Margin of error(to four decimal places)

Interval estimate to (to four decimal places)

Answer:

a

$0.6120 < p < 0.639 + 0.6670$

b

$0.3900 < p < 0.4440$

Step-by-step explanation:

Considering question a

The sample proportion is 1995 is $\^ p_1 = 0.639$

The sample size is $n = 1200$

From the question we are told the confidence level is 95% , hence the level of significance is

$\alpha = (100 - 95 ) \%$

=> $\alpha = 0.05$

Generally from the normal distribution table the critical value of $\frac{\alpha }{2}$ is

$Z_{\frac{\alpha }{2} } = 1.96$

Generally the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \sqrt{\frac{\^ p (1- \^ p)}{n} }$

=> $E = 1.96 * \sqrt{\frac{0.639 (1- 0.639)}{1200} }$

=> $E = 0.027$

Generally 95% Interval estimate is mathematically represented as

$\^ p -E < p < \^ p +E$

=> $0.639 -0.027 < p < 0.639 + 0.027$

=> $0.6120 < p < 0.639 + 0.6670$

Considering question b

The sample proportion is 1995 is $\^ p_2 = 0.417$

The sample size is $n = 1200$

From the question we are told the confidence level is 95% , hence the level of significance is

$\alpha = (100 - 95 ) \%$

=> $\alpha = 0.05$

Generally from the normal distribution table the critical value of $\frac{\alpha }{2}$ is

$Z_{\frac{\alpha }{2} } = 1.96$

Generally the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \sqrt{\frac{\^ p (1- \^ p)}{n} }$

=> $E = 1.96 * \sqrt{\frac{0.417 (1- 0.417)}{1200} }$

=> $E = 0.027$

Generally 95% Interval estimate is mathematically represented as

$\^ p -E < p < \^ p +E$

=> $0.417 -0.027 < p < 0.417 + 0.027$

=> $0.3900 < p < 0.4440$

6 0

3 years ago

Convert -450° from degrees to radians. (5 points)

ValentinkaMS [17]

Negative five pi divided by two

4 0

3 years ago

A man who weighs approximately 140 pounds has two 12 ounce beers and 1.5 ounce shot of liquor in two hours. How many standard dr

Nina [5.8K]

<h2>Hello!</h2>

The answer is:

The man did consume two standard drinks in two hours.

According to the standard drink conversion, we know that each 12 ounce beer we have one (1) standard drink, and each 1.5 ounce shot of liquor, we have another standar drink.

Calculating we have:

$DrinksConsumed=12Oz(Beer)+1.5Oz(Liquor)=1StandardDrink+1StandardDrink\\\\DrinksConsumed=1StandardDrink+1StandardDrink=2StandardDrinks$

We have that the man did consume two standard drinks in two hours.

Have a nice day!

6 0

3 years ago