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vova2212 [387]
3 years ago
11

A cyclist rode 3.75 miles in 0.3 hours.

Mathematics
1 answer:
Archy [21]3 years ago
4 0

Answer:

A. 12.5 miles per hour B. 0.36 hours

Step-by-step explanation:

3.75/.30=12.5 , so divide 3.75 by the time 0.30 hours and you get your miles per hour

next, take 4.5 and divide by the new mph 12.5 from your previous answer.

4.5/12.5=0.36 hours

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a student showed the steps below while solving the equation 14=log5(2x-3) by graphing. which step did the student make the 1sr e
mixer [17]

Answer:

x= \frac{5^{14}+3}{2}

Step-by-step explanation:

The correct steps to solve the equation are:

14=log_5(2x-5)

5^{14}=5^{log_5(2x-3)}

Because a^{log_am}=m

So, solving we get:

5^{14}=2x-3

Sum 3 on every side:

5^{14}+3=2x-3+3\\5^{14}+3=2x

Dividing by 2 into both sides:

\frac{5^{14}+3}{2}=\frac{2x}{2}\\\frac{5^{14}+3}{2}=x

So, the answer is  x= \frac{5^{14}+3}{2}

7 0
3 years ago
Answer the following questions in complete sentences.
Anna71 [15]
The answer for both of these would be a rectangle.

A rectangular prism has 6 faces, all of which are rectangles.  Slicing the prism parallel to any of the faces, whether they are end faces or bases, will result in a rectangular cross-section.
6 0
3 years ago
Help due soon <br> find the area using 3.14 for π<br> round to the nearest Hundredth if you have too
andrey2020 [161]

Answer:

Circumference is about 185.26 cm.

Area is about 2732.585 cm^{2}

Step-by-step explanation:

Circumference = 2πr

2 x 3.14 x 29.5 = 185.26

Area of a circle = πr^{2}

3.14 x 29.5 x 29.5 = 2732.585

7 0
3 years ago
Question 4 (3 points)
katovenus [111]

Answer:

The vertical one is the y axis and the horizontal one is the x axis.

Step-by-step explanation:

3 0
3 years ago
A market research team thinks that their new ad campaign is better than their old one. They used to be able to sell to 50% of th
andreev551 [17]

Answer:

a. The test statistic is 2 and we conclude that the new ad campaign is not signficantly better.

Step-by-step explanation:

They used to be able to sell to 50% of those who saw their ads. Test if the new campaign is better.

At the null hypothesis, we test is it is the same, that is, the proportion is the same.

H_0: p = 0.5

At the alternate hypothesis, we test if it is significantly better, that is, the proportion is above 50%.

H_1: p > 0.5

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

0.5 is tested at the null hypothesis:

This means that \mu = 0.5, \sigma = \sqrt{0.5*0.5} = 0.5

They take a random sample of 100 potential buyers and find that they convinced 60 of these people to buy their product.

This means that n = 100, X = \frac{60}{100} = 0.6

Test statistic:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{0.6 - 0.5}{\frac{0.5}{\sqrt{100}}}

z = 2

The test statistic is 2.

P-value of the test and decision:

The p-value of the test is the probability of finding a sample proportion above 0.6, which is 1 subtracted the by p-value of z = 2.

Looking at the z-table, z = 2 has a p-value of 0.9772.

1 - 0.9772 = 0.0228.

The p-value of the test is 0.0228 > 0.01, which means that we cannot conclude that the new ad campaign is signficantly better, so the correct answer is given by option A.

5 0
3 years ago
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