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3 years ago

Summer school issues help meeded asap

Mathematics

1 answer:

vovikov84 [41]3 years ago

7 0

Answer:

2.B

Step-by-step explanation:

Henry's container holds milk=200*7/8=175 ml

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Find the slope of the line through the pair of points. (-14, -2) and (7,7)

seraphim [82]

Answer:

3/7

Step-by-step explanation:

Use Y2-Y1/X2-X1

So, 7+2/7+14=9/21

9/21 can be simplified so divide both by 3 which leaves you with 3/7

5 0

3 years ago

A person suspects a standard number cube is not so standard. Another person rolls this cube 100 times, and it lands on a six 42

Ksju [112]

Answer:

The chance of an average six-sided number cube landing one one number is 1/6, or approximately 16.67%. When rolling a number cube 100 times, the average number of times it lands on any specific number should be fairly close to 16.67.

A 6 being rolled 42 times and 33 times means that it is very likely not to be a standard number cube. Although we cannot know for certain, the chance of this happening is very low.

3 0

3 years ago

Ramon earns $1,715 each month and pays $53.40 on electricity. To the nearest tenth of a percent, what percent of Ramon's earning

Marat540 [252]

Percent of earnings spent on electricity each month is 3.1 %

Solution:

Given that Ramon earns $1,715 each month and pays $53.40 on electricity

To find: Percent of earnings spent on electricity each month

From given information,

Ramon's monthly salary = $ 1715

Electricity Rent = $ 53.40

Finding percentage of earnings spent on electricity:

Percent of earnings spent on electricity = $\frac{\text{ electricity rent}}{\text{ monthly salary}} \times 100$

Substituting the values we get,

$\rightarrow \frac{53.40}{1715} \times 100\\\\\rightarrow 0.031137 \times 100 = 3.113 \approx 3.1$

Thus Percent of earnings spent on electricity each month is 3.1 %

7 0

3 years ago

An automobile manufacturer has given its jeep a 51.3 miles/gallon (MPG) rating. An independent testing firm has been contracted

Nitella [24]

Answer:

The p-value of the test is 0.2262 > 0.02, which means that the decision is to fail to reject the null hypothesis.

Step-by-step explanation:

An automobile manufacturer has given its jeep a 51.3 miles/gallon (MPG) rating.

At the null hypothesis, we test if the mean is of 51.3, that is:

$H_0: \mu = 51.3$

An independent testing firm has been contracted to test the actual MPG for this jeep since it is believed that the jeep has an incorrect manufacturer's MPG rating.

This means that at the alternative hypothesis, we test if the mean is different of 51.3, that is:

$H_0: \mu \neq 51.3$

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.

51.3 is tested at the null hypothesis:

This means that $\mu = 51.3$

After testing 230 jeeps, they found a mean MPG of 51.1. Assume the population variance is known to be 6.25.

This means that $n = 230, X = 51.1, \sigma = \sqrt{6.25} = 2.5$

Value of the test statistic:

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

$z = \frac{51.1 - 51.3}{\frac{2.5}{\sqrt{230}}}$

$z = -1.21$

P-value of the test and decision:

The p-value of the test is the probability of the sample mean differing from 51.1 by at least 0.2, which is P(|z| > 1.21), which is 2 multiplied by the p-value of z = -1.21.

Looking at the z-table, z = -1.21 has a p-value of 0.1131.

2*0.1131 = 0.2262

The p-value of the test is 0.2262 > 0.02, which means that the decision is to fail to reject the null hypothesis.

8 0

3 years ago

2n + 5 = 35 what is the value of n?

Svet_ta [14]

Answer: