QUICK I NEED THIS RN!! For a proof which placement of the axes would be least acceptable for a rhombus?

Gnom [1K]

$\begin{array}{ccc}42&-&21\%\\x&-&100\%\end{array}\ \ \ \ \ |cross\ multiply\\\\21x=42\times100\\\\21x=4200\ \ \ \ \ |divide\ both\ sides\ by\ 21\\\\\boxed{x=200}\leftarrow answer$

5 0

3 years ago

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Last Saturday, Niki went on a bike ride from her house to the park. The total distance she travelled on her bike was 3 1/5 miles

Mnenie [13.5K]

Answer:

D. $\frac{16}{5}$

Step-by-step explanation:

$3\frac{1}{5}$

To rewrite a mixed number as an improper fraction, first, multiply the whole number by the denominator.

$3*5=15$

Then, add this number to the numerator.

$15+1=16$

This number is now the numerator of the fraction. The denominator stays the same.

$\frac{16}{5}$

I hope this helps!

5 0

3 years ago

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When a number is divided by -3, the result is 12 more than the number what is the number?

olga55 [171]

X/-3 = 12 + x
x = -36 - 3x
4x = 36
x= = 9

The number is 9.

8 0

3 years ago

The slope of the line is ___.<br> (Simplify your answer. Type an integer or a fraction.)

bonufazy [111]

Answer:

-5/7

Step-by-step explanation:

Look at the graph. As we move from left to right from (-3, 2) to (4, -3), x increases by 7 and y decreases by 5. Thus, the slope is

m = rise/run = -5/7.

4 0

3 years ago

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:

$P=P(0.18$

5 0

3 years ago