When is a sum of a geometric sequence finit and when is it infinite?

A researcher tests five individuals who have seen paid political ads about a particular issue. These individuals take a multiple

devlian [24]

Answer:

$t=\frac{46-40}{\frac{5.148}{\sqrt{5}}}=2.606$

The degrees of freedom are given by:

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

The p value wuld be given by:

$p_v =2*P(t_{(4)}>2.606)=0.060$

For this case the p value is higher than the significance level so then we can conclude that the true mean is not significantly different from 40

The distribution with the critical values are in the figure attached

Step-by-step explanation:

Information given

48, 41, 40, 51, and 50

The sample mean and deviation can be calculated with these formulas:

$\bar X= \frac{\sum_{i=1}^n X_i}{n}$

$s =\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

$\bar X=46$ represent the mean height for the sample

$s=5.148$ represent the sample standard deviation

$n=5$ sample size

$\mu_o =40$ 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

Hypothesis to test

We want to test if the true mean for this case is equal to 40, the system of hypothesis would be:

Null hypothesis: $\mu = 40$

Alternative hypothesis: $\mu \neq 40$

The statistic is given by:

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

Replacing we got:

$t=\frac{46-40}{\frac{5.148}{\sqrt{5}}}=2.606$

The degrees of freedom are given by:

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

The p value wuld be given by:

$p_v =2*P(t_{(4)}>2.606)=0.060$

For this case the p value is higher than the significance level so then we can conclude that the true mean is not significantly different from 40

The distribution with the critical values are in the figure attached

6 0

3 years ago

Identify the volume and surface area of the hemisphere in terms of π. HELP ASAP!!

posledela

Answer:

D

Step-by-step explanation:

Use the formula for the SA of a hemisphere.

$SA=2\pi r^2$

Now we can find the radius of the hemisphere, which is 15.

Then, we can square that and multiply it by 2 to get 450.

Now, let's use the formula for the Volume of a hemisphere.

$V=\frac{2\pi r^3}{3}$

Now we can cube 15 and multiply it by 2 to get 6750.

Then we can divide this number by 3.

2250.

So the answer is D.

4 0

3 years ago

Evaluate the following expression if a = -6, b = 2/3 and c = -5.5 : -ab - ac

11111nata11111 [884]

Answer:

-29

Step-by-step explanation:

-ab-ac

= -(-6)(2/3)-(-6)(-5.5)

=4-33

= -29

3 0

3 years ago

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determinar la longitud de uno de los lados de un hexágono regular en donde l medida de su perímetro es 48x+90

RUDIKE [14]

P = 48x + 90
P = 6L
L = (48x + 90)/6
L = 8x + 15 (comprimento de cada lado)

3 0

3 years ago

plz solve, I will give brainliest, There are three consecutive integers. The sum of the first two is 51 more than the third. Fin

Lina20 [59]

X+x+1=51+x+2
2x+1=x+53
x=52

integeers are 52. 53 and 54

8 0

3 years ago

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