Pg 436 Questions 10-13

What is the prime factorization of 293? Please explain, too.

just olya [345]

Here if it's not what you need to know just let me know I can explain it if need to be

4 0

4 years ago

A pie was cut into 8 equal slices. if Ruben ate 3/4 of the pie, how many slices did he eat?

Sunny_sXe [5.5K]

6 slices 4 x2 = 8 and 3 x 2 = 6 so its 6 over and that is 6/8 of the pie

8 0

3 years ago

Read 2 more answers

A car company says that the mean gas mileage for its luxury sedan is at least 24 miles per gallon (mpg). You believe the claim

Anastaziya [24]

Answer:

$t=\frac{23-24}{\frac{5}{\sqrt{5}}}=-0.447$

$p_v =P(t_{(4)}$

If we compare the p value and the significance level given $\alpha=0.1$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can't reject the claim that the true mean is at least 24 mpg (null hypothesis) at 1% of signficance.

Step-by-step explanation:

Data given and notation

$\bar X=23$ represent the sample mean

$s=5$ represent the sample standard deviation for the sample

$n=5$ sample size

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

$\alpha=0.1$ 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 24 (rejecting the claim proposed), the system of hypothesis would be:

Null hypothesis: $\mu \geq 24$

Alternative hypothesis: $\mu < 24$

If we analyze the size for the sample is < 30 and 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:

$t=\frac{23-24}{\frac{5}{\sqrt{5}}}=-0.447$

P-value

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

$df=n-1=5-1=4$

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

$p_v =P(t_{(4)}$

Conclusion

If we compare the p value and the significance level given $\alpha=0.1$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can't reject the claim that the true mean is at least 24 mpg at 1% of signficance.

5 0

3 years ago

The measurement of an angle is 40°, and the length of a line segment is 8 centimeters.

natima [27]

Answer:

I'm assuming it's a triangle of some sort. I'll assume it's a right triangle. All the angles and sides are there. I would need 2 angles and 1 side or 2 sides and 1 angle to get a specific triangle.

Step-by-step explanation:

4 0

3 years ago

It S.P. =Rs810, loss percent=10% find C.p

zlopas [31]

Answer:

x=900

Step-by-step explanation:

100-10=90

90/100=0.9

x*0.9=810

x=810/0.9

<em>x=900:)</em>

hope it helps!!

Have a great day

5 0

3 years ago