The factorial 4! is equal to _______. This is about permutations btw.

Please help me with this question pls, I really need help

Inessa [10]

Answer: x=7, y=-23
(7,-23)

Explanation:

4 0

3 years ago

Daily-high temperature measurements for 40 consecutive days are recorded for a particular city. The mean daily-high temperature

Vesnalui [34]

Answer:

$t=\frac{21.5-22}{\frac{1.5}{\sqrt{40}}}=-2.108$

$p_v =P(t_{39}$

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 to reject the null hypothesis, so we can conclude that the mean temperature actually its NOT significant less then 22 at 1% of signficance.

(D) P-val=0.021, fail to reject the null hypothesis

Step-by-step explanation:

1) Data given and notation

$\bar X=21.5$ represent the mean for the temperatures

$s=1.5$ represent the sample standard deviation

$n=40$ sample size

$\mu_o =22$ 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 less than 22C, the system of hypothesis would be:

Null hypothesis: $\mu \geq 22$

Alternative hypothesis: $\mu < 22$

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:

$t=\frac{21.5-22}{\frac{1.5}{\sqrt{40}}}=-2.108$

P-value

We can calculate the degrees of freedom like this:

$df=n-1=40-1=39$

Since is a one left tailed test the p value would be:

$p_v =P(t_{39}$

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 to reject the null hypothesis, so we can conclude that the mean temperature actually its NOT significant less then 22 at 1% of signficance.

The best option would be:

(D) P-val=0.021, fail to reject the null hypothesis

5 0

3 years ago

A parallelogram with a base of y units and a height of x units is changed to have a new base of 3y units and a height of 2x unit

nataly862011 [7]

The formula for the area of a parallelogram is

A=b*h where b=base and h=height

if the base were to increase by 3times and the height were to increase by 2 times then
6A=b*h
The area of the parallelogram would be 6 times larger

So if the original area was 47units², then the new area would be

47*6=282units²

Answer=282units²

5 0

3 years ago

Read 2 more answers

How to solve -2 = -6 + 4v?

liq [111]

Hello there.

How to solve -2 = -6 + 4v?
−2=4v−6
4v−6=−2
4v−6+6=−2+64v=4
4v/4=4/4
v=1

3 0

3 years ago

Read 2 more answers

An artist follows this formula for making a special tricolored bracelet: 8 orange beads + 3 red beads + 4 green beads + 1 string

natali 33 [55]

Given that an artist uses 8 orange beads, 3 red beads, 4 green beads and 1 string for making a special tricolored bracelet.

Given that there are 15 orange beads, 86 red beads, 92 green beads, and 17 pieces of string, the number of special tricolored bracelets that can be made is 1.

This is because, since 8 orange beads is needed for the special tricolored bracelets and there are only 15 orange beads the available, there will only be 7 orange beads left for the second tricolored bracelet.

3 0

3 years ago