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tatyana61 [14]
3 years ago
5

Mary Beth traveled 240 miles in 4.8 hours and then stopped for a break. Then she traveled 255 miles in 4.2 hours. Not counting t

he break, what was Mary Beth's average speed for the whole trip? Use unit rate and show work please.
Mathematics
2 answers:
vekshin13 years ago
7 0

Answer:

245

Step-by-step explanation:

he average is 245 miles per hr

skelet666 [1.2K]3 years ago
4 0
Mary's overall speed was 245 miles per hour.
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We are interested in conducting a study to determine the percentage of voters of a state would vote for the incumbent governor.
Vladimir [108]

Answer:

n=\frac{0.5(1-0.5)}{(\frac{0.05}{1.96})^2}=384.16  

And rounded up we have that n=385

Step-by-step explanation:

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by \alpha=1-0.95=0.05 and \alpha/2 =0.025. And the critical value would be given by:

z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96

The margin of error for the proportion interval is given by this formula:  

ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}    (a)  

And on this case we have that ME =\pm 0.05 and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}   (b)  

The estimated proportion for this case is \hat p=0.5. And replacing into equation (b) the values from part a we got:

n=\frac{0.5(1-0.5)}{(\frac{0.05}{1.96})^2}=384.16  

And rounded up we have that n=385

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3 years ago
I need help I have this problem and I think it either has to be simplified or turned into a fraction but I’m really sure it’s si
Olenka [21]
What are you specifially looking for? simplified it would be 10 and as a fraction 10 over 1
6 0
3 years ago
Please Help!!! Brainliest will be given!
inn [45]

Answer:

1. C. Yes, because a sum of cubes can be factored

2a. false

2b. false

2c. true

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Step-by-step explanation:

1.  Both 3 and 8 can be cubed, which is why x^3+8 can be factored (x+2)(x^2-2x+4)

2a. a^2-b^2 can be factored by the perfect square rule, so it should be (a-b)^2

2b. both terms are perfect squares, so you can factor, making it (a+b)(a-b)

2c. You can factor using the perfect square rule, making it (a+b)^2

2d. Most of what is in the equation is true, yet the correct solution would be (a-b)(a^2+ab+b^2)

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natita [175]

Answer:

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Step-by-step explanation:

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