What three angles with the given measures can be used to construct at least one triangle

This year 426,731 people visited a water park.last year 102,865 fewer people visited the park the year the park opened 84,007 fe

mylen [45]

Answer:

236,859 people visited the water park the year it opened.

Step-by-step explanation:

426,731 - 102,865= 323,866 the amount of people that visited last year

323,866 - 87,007 = 236,859 the amount of people that visited the water park the year it opened

7 0

3 years ago

Consider testing H^0: u=20 against H^a: u<20 where u is the mean number of latex gloves used per week by all hospital employe

iragen [17]

Answer:

Part a: P-value

The first step is calculate the degrees of freedom, on this case:

$df=n-1=46-1=45$

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

$p_v =P(t_{(45)}$

Part b: Conclusion

If we compare the p value and the significance level given $\alpha=0.01$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to fail reject the null hypothesis, and we can conclude that the true mean is not lower than 20 at 1% of signficance.

a. There is insufficient evidence to reject h^0

Step-by-step explanation:

Data given and notation

$\bar X=19.1$ represent the sample mean

$s=11.8$ represent the sample standard deviation

$n=46$ sample size

$\mu_o =20$ represent the value that we want to test

$\alpha=0.01$ 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 mean is lower than 20, the system of hypothesis would be:

Null hypothesis: $\mu \geq 20$

Alternative hypothesis: $\mu < 20$

If we analyze the size for the sample is > 30 but we don't know the population deviation so 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:

$t=\frac{19.1-20}{\frac{11.8}{\sqrt{46}}}=-0.517$

Part a: P-value

The first step is calculate the degrees of freedom, on this case:

$df=n-1=46-1=45$

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

$p_v =P(t_{(45)}$

Part b: Conclusion

If we compare the p value and the significance level given $\alpha=0.01$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to fail reject the null hypothesis, and we can conclude that the true mean is not lower than 20 at 1% of signficance.

a. There is insufficient evidence to reject h^0

5 0

3 years ago

A miniature golf course recently provided its customers with 8 golf balls, 2 of which were yellow. What is the experimental prob

bonufazy [111]

Answer:

<h2>There is a 25% chances of receiving a yellow golf ball next time.</h2>

Step-by-step explanation:

Givens

There are 8 golf balls in total.
There are 2 yellow golf balls out of 8.

The experimental probability refers to the ratio between the number of times an even happens and the total number of cases. So,

$P=\frac{2}{8}=0.25$

Therefore, there is a 25% chances of receiving a yellow golf ball next time.

5 0

3 years ago

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What is 3x-10 less than 2

OleMash [197]

3x - 10 < 2

3x < 2 + 10

3x < 12 Divide through by 3.

x < 12/3

x < 4

3 0

3 years ago

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A right rectangular prism is shown. What shape best describes the cross section cut perpendicular to the base of a right rectang

alisha [4.7K]

Since the cross section is constrained to be perpendicular to the base, the shape of it is constrained to be a ...
Rectangle

_____
That rectangle may be a square, but is not required to be.

4 0

3 years ago

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