The triangle shown below has an area of 20 units.

kirill [66]

Answer:

what is the full question

5 0

3 years ago

A company that manufactures toy trains is making a new boxcar. To fit on the track, the smallest dimension of the toy boxcar mus

pochemuha

Answer:

Length = 12 inches, height = 3 inches

Step-by-step explanation:

First, you have to set up a proportion. 2/7, x/42.

Then, you cross multiply and get the setup of 84=7x

Finally, you divide 84 by 7 and get 12.

12 is the length, and there is no other answer that has 12 in the height. You could just do the same proportion to get 3, though.

8 0

2 years ago

Read 2 more answers

Simplify i^82 pls...thanks :)

Fofino [41]

To simplify i^82, divide 82 by. the answer is 20 with remainder 2

8 0

2 years ago

Read 2 more answers

Some research suggests that police officers are more likely to make an arrest in the presence of bystanders. If mentally disorde

zmey [24]

Answer:

$t=\frac{7.03-3.58}{\frac{9.42}{\sqrt{20}}}=1.638$

$p_v =P(t_{(19)}>1.638)=0.0589$

If we compare the p value and the significance level given $\alpha=0.05$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can conclude that the true mean is not significantly higher than 3.58 at 5% of signficance.

Step-by-step explanation:

Data given and notation

$\bar X=7.03$ represent the sample mean

$s=9.42$ represent the sample standard deviation

$n=20$ sample size

$\mu_o =3.58$ represent the value that we want to test

$\alpha=0.01$ represent the significance level for the hypothesis test.

z 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 mean is higher than 3.58 :

Null hypothesis: $\mu \leq 3.58$

Alternative hypothesis: $\mu > 3.58$

Since we don't know the population deviation, is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

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

t-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:

$t=\frac{7.03-3.58}{\frac{9.42}{\sqrt{20}}}=1.638$

P-value

First we need to calculate the degrees of freedom given by:

$df=n-1=20-1=19$

Since is a right tailed test the p value would be:

$p_v =P(t_{(19)}>1.638)=0.0589$

Conclusion

If we compare the p value and the significance level given $\alpha=0.05$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can conclude that the true mean is not significantly higher than 3.58 at 5% of signficance.

7 0

3 years ago

Assume you drink eight sodas per week & they cost $1.59

zhuklara [117]

8 sodas X $1.59 =$12.72 per week

$12.72 per week X 4 weeks per month =$50.88

$50.88 X 12 months per year = $610.56 per year

4 0

2 years ago