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3 years ago

Why is 6/8 greater than 5/8 but less than 7/8

1 answer:

7 0

Simple!

Since we can observe that they all have the same denominators (bottom part) we can just observe the numerator (top part)

6 is indeed greater than 5, yes? So we can safely say that

6/8 > 5/8

Now the for the second part.

6 is smaller than 7, yes? So we can make the observation that

6/8 < 7/8

Hope that makes sense! (Be sure to thank me, plz)

P.S. If you want an example of unlike denominators, let me know. <span />

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If it's 7:30 what time will it gets in an hour and a quarter?

slava [35]

Answer:

8:55

Step-by-step explanation:

7:30 plus 1 hour is 8:30. Quarter is 25 or 1/4. Then you add 8:30 plus 25 which gives you 8:55.

7 0

2 years ago

Read 2 more answers

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

Which of the inequalities describes the graph below?

Serga [27]

The square in the graph represents one unit. In the diagram, the line has coordinates (0,4) and (4,0). Use the cpordinates, find the gradient and the equation using y = mx + c. So the equation of this line is x + y = 4. Now having obtained the equation of yhe line, the shaded part is below the line, therefore the inequality is : x + y =< 4

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3 years ago

A rubber ball is in the shape of a sphere and has radius of 6 inches. The center of the ball is a hollow sphere that has a radiu

xeze [42]

Volume = 268.08
Hope this helps!

8 0

3 years ago

Read 2 more answers

1. Find the volume of the object below.*

Alex787 [66]

Answer:

228 cubic centimeters

Step-by-step explanation:

Find the volume for the blue box: 8 x 1 x 6 = 48

Find the volume of the orange box: 6 x 6 x 5 = 180

48 + 180 = 228

4 0

2 years ago