How to write 30+54 in distributive property in an easy way

marie plans to trick are treat with maury friend whitney it takes marie 20 minutes to put on maury costume 15 minutes to eat din

Valentin [98]

Answer: 5:50

Step-by-step explanation:

20+15+5=40. 6:30 minus 40 min is 5:50

8 0

2 years ago

In a survey of 1000 randomly selected adults in the United States, participants were asked what their most favorite and what the

xenn [34]

Answer:

(a) The 95% confidence interval for the population proportion of US adults for whom math was their most favorite subject is (0.204, 0.256).

(b) The 95% confidence interval for the population proportion of US adults for whom math was their least favorite subject is (0.34, 0.40).

Step-by-step explanation:

The questions are:

(a) Construct and interpret a 95% confidence interval for the proportion of US adults for whom math was their most favorite subject.

(b) Construct and interpret a 95% confidence interval for the proportion of US adults for whom math was their least favorite subject. Solution:

(a)

The 95% confidence interval for the population proportion is:

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

Th information provided is:

n = 1000

Number of US adults for whom math was their most favorite subject

= X

= 230

Compute the sample proportion of US adults for whom math was their most favorite subject as follows:

$\hat p=\frac{230}{1000}=0.23$

The critical value of z for 95% confidence interval is:

$z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96$

Compute the 95% confidence interval for the population proportion of US adults for whom math was their most favorite subject as follows:

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

$=0.23\pm 1.96\sqrt{\frac{0.23(1-0.23)}{1000}}\\=0.23\pm 0.0261\\=(0.2039, 0.2561)\\\approx (0.204, 0.256)$

Thus, the 95% confidence interval for the population proportion of US adults for whom math was their most favorite subject is (0.204, 0.256).

(b)

The 95% confidence interval for the population proportion is:

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

Th information provided is:

n = 1000

Number of US adults for whom math was their least favorite subject

= X

= 370

Compute the sample proportion of US adults for whom math was their least favorite subject as follows:

$\hat p=\frac{370}{1000}=0.37$

The critical value of z for 95% confidence interval is:

$z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96$

Compute the 95% confidence interval for the population proportion of US adults for whom math was their least favorite subject as follows:

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

$=0.37\pm 1.96\sqrt{\frac{0.37(1-0.37)}{1000}}\\=0.37\pm 0.0299\\=(0.3401, 0.3999)\\\approx (0.34, 0.40)$

Thus, the 95% confidence interval for the population proportion of US adults for whom math was their least favorite subject is (0.34, 0.40).

8 0

3 years ago

What is the outlier of the data set 12,15,14,13,15,12,22,16 , and 11

Kobotan [32]

22 is the outlier. Hope this helps!

6 0

3 years ago

A polygon has 35 diagonals. How many sides does it have?

nalin [4]

$d=35\\
d=\frac{n(n-3)}{2}\\
d=\frac{n(n-3)}{2}\\35=\frac{n(n-3)}{2}\\
70=n^2-3n\\
n^2-3n-70=0\\
n^2-10n+7n-70=0\\
n(n-10)+7(n-10)=0\\
(n+7)(n-10)=0\\
n=-7 \vee n=10\\\\
n=10

$

7 0

4 years ago

Whats the equation of the line given f(3)=5 and f(7)=9

Ksju [112]

Use symbols.com as it helps me

5 0

3 years ago