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3 years ago

13

Mathematics

1 answer:

Sunny_sXe [5.5K]3 years ago

7 0

Answer: A 13.4

Step-by-step

a^2 + b^2= c^2 4^2 + b^2 = 14^2 16+ b^2= 195 b^2= 180 b= square root of 180 b= 6 square root of 5 or 13.42

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According to the U.S. Bureau of Labor Statistics, 20% of all people 16 years of age or older do volunteer work. In this age grou

Murljashka [212]

Answer:

1. P(X≥35) = 0.0183

2. P(X≤21) = 0.0183

3. P(0.18<p<0.25) = 0.7915

Step-by-step explanation:

We have the proportion for women: pw=0.22, and the proportion for men: pm=0.19.

1. We have a sample of 140 woman and we have to calculate the probability of getting 35 or more who do volunteer work.

This is equivalent to a proportion of

$p=X/n=35/140=0.25$

The standard error of the proportion is:

$\sigma_p=\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.22*0.78}{300}}\\\\\\ \sigma_p=\sqrt{0.0006}=0.0239$

We calculate the z-score as:

$z=\dfrac{p-p_w}{\sigma_p}=\dfrac{0.25-0.22}{0.0239}=\dfrac{0.03}{0.0239}=0.8198$

Then, the probability of having 35 women or more who do volunteer work in this sample of 140 women is:

$P(X>35)=P(p>0.25)=P(z>2.0906)=0.0183$

2. We have to calculate the probability of having 21 or fewer women in the group who do volunteer work.

The proportion is now:

$p=X/n=21/140=0.15$

We can calculate then the z-score as:

$z=\dfrac{p-p_w}{\sigma_p}=\dfrac{0.15-0.2}{0.0239}=\dfrac{-0.05}{0.0239}=-2.0906$

Then, the probability of having 21 women or less who do volunteer work in this sample of 140 women is:

$P(X$

3. For the sample with men and women, we use the proportion for both, which is π=0.2.

The sample size is n=300.

Then, the standard error of the proportion is:

$\sigma_p=\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.2*0.8}{300}}\\\\\\ \sigma_p=\sqrt{0.0005}=0.0231$

We can calculate the z-scores for p1=0.18 and p2=0.25:

$z_1=\dfrac{p_1-\pi}{\sigma_p}=\dfrac{0.18-0.2}{0.0231}=\dfrac{-0.02}{0.0231}=-0.8660\\\\\\z_2=\dfrac{p_2-\pi}{\sigma_p}=\dfrac{0.25-0.2}{0.0231}=\dfrac{0.05}{0.0231}=2.1651$

We can now calculate the probabilty of having a proportion within 0.18 and 0.25 as:

$P=P(0.18$

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4 years ago

Which function describes the arithmetic sequence shown?

krek1111 [17]

Answer:

f(x) 4x-1 answer: d)

Step-by-step explanation:3.7, 11, 15, 19, 23,

hello :

23-19=19-15=15-11=11-7=7-3=4.....common diference

the first term is : 3 f(x) = 3+4(x-1) ...genral term

f(x) 4x-1 answer: d)

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3 years ago

2^3 . 2^4<br> i need help with this

nasty-shy [4]

2^3 makes 8
2^4 makes 16
Does this help... Or are you looking for 2^3 times 2^4 makes?

3 0

3 years ago

Read 2 more answers

Integers Multiple Choice Read the word problem and circle the corresponding expression. 1. Jaimie withdrew $25 from his TFSA (Ta

nexus9112 [7]

Answer:

a) (-25)(4)

Step-by-step explanation:

To evaluate an algebraic expression means to find the value of the expression when the variable is replaced by a given number. To evaluate an expression, we substitute the given number for the variable in the expression and then simplify the expression using the order of operations. In this case,

withdrew means no longer there which means subtracted.

Then, times mean multiply.

Therefore, -minus twenty-five times (x) four

combine them and it equals (-25)(4)

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3 years ago

How many different arrangements can be made from the letters

Ede4ka [16]

Answer:

Ohhhh

Step-by-step explanation:

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3 years ago