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3 years ago

Sarah got 90% on her math test. If the test was worth 180 points, how many points did Sarah get?

Mathematics

2 answers:

Ivanshal [37]3 years ago

4 0

It would be: 180 * 90/100
= 180 * 0.90 = 162

In short, Your Answer would be 162

Hope this helps!

UkoKoshka [18]3 years ago

3 0

Answer:

162 points.

Step-by-step explanation:

Given,

The test was worth 180 points,

That is, 100 % of the test = 180 points,

⇒ 1 % of the test = $\frac{180}{100}$ point,

Since, the percentage in maths is 90 %,

Also, 90% of the test = $90\times \frac{180}{100} = \frac{16200}{100}=162\text{ points}$

Hence, the points in maths is 162.

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7 0

3 years ago

Read 2 more answers

A bottling company produces bottles that hold 12 ounces of liquid. Periodically, the company gets complaints that their bottles

MA_775_DIABLO [31]

Answer:

$t=\frac{11.7-12}{\frac{0.2}{\sqrt{25}}}=-7.5$

Step-by-step explanation:

Information given

$\bar X=11.7$ represent the sample mean of amount of liquid

$s=0.2$ represent the standard deviation

$n=25$ sample size

$\mu_o =12$ represent the value that we want to check

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

System of hypothesis

We want to verify if the true mean for the amount of liquid is lower than 12 ounces, and the hypothesis are given by:

Null hypothesis: $\mu \geq 12$

Alternative hypothesis: $\mu < 12$

The statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

Replacing we got:

$t=\frac{11.7-12}{\frac{0.2}{\sqrt{25}}}=-7.5$

4 0

4 years ago

A random sample of 16 students selected from the student body of a large university had an average age of 25 years. We want to d

kenny6666 [7]

Answer:

$z=\frac{25-24}{\frac{2}{\sqrt{16}}}=2$

$p_v =2*P(Z>2)=0.0455$

If we compare the p value and the significance level given $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can conclude that the true mean differs from 24 at 5% of significance

Step-by-step explanation:

Data given and notation

$\bar X=25$ represent the sample mean

$\sigma=2$ represent the sample population deviation for the sample

$n=16$ sample size

$\mu_o =24$ represent the value that we want to test

$\alpha=0.05$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the true mean is different from 24, the system of hypothesis would be:

Null hypothesis: $\mu = 24$

Alternative hypothesis: $\mu \neq 24$

If we analyze the size for the sample is < 30 but we know the population deviation so is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

We can replace in formula (1) the info given like this:

$z=\frac{25-24}{\frac{2}{\sqrt{16}}}=2$

P-value

Since is a two sided test the p value would be:

$p_v =2*P(Z>2)=0.0455$

Conclusion

6 0

4 years ago

Please answer right away

spayn [35]

<u>Answer:</u>