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seraphim [82]
3 years ago
8

Find the length of the segment indicated. Round your answer to the nearest tenth if necessary.

Mathematics
1 answer:
alukav5142 [94]3 years ago
3 0

Answer:

x=5

Step-by-step explanation:

im so bad at explaining things but i hope this helped

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What is the perimeter of a triangle with sides 11 in 5 in and 13 in​
Harrizon [31]

Answer:

29 inches

Step-by-step explanation:

To find perimeter you just add all the side lengths.

6 0
3 years ago
. How many solutions does this system of equations have?<br> y = 4x - 2.<br> y = 4x +5 *
defon

Answer:

No solutions

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

3 0
3 years ago
A student carried out an experiment to determine the amount of vitamin C in a tablet sample. He performed 5 trials to produce th
ivolga24 [154]

Answer:

There is not enough evidence to support the claim that the amount of vitamin C in a tablet sample is different from 500 mg.

P-value = 0.166.

Step-by-step explanation:

We start by calculating the mean and standard deviation of the sample:

M=\dfrac{1}{n}\sum_{i=1}^n\,x_i\\\\\\M=\dfrac{1}{5}(490+502+505+495+492)\\\\\\M=\dfrac{2484}{5}\\\\\\M=496.8\\\\\\s=\sqrt{\dfrac{1}{n-1}\sum_{i=1}^n\,(x_i-M)^2}\\\\\\s=\sqrt{\dfrac{1}{4}((490-496.8)^2+(502-496.8)^2+(505-496.8)^2+(495-496.8)^2+(492-496.8)^2)}\\\\\\s=\sqrt{\dfrac{166.8}{4}}\\\\\\s=\sqrt{41.7}=6.5\\\\\\

Then, we can perform the hypothesis t-test for the mean.

The claim is that the amount of vitamin C in a tablet sample is different from 500 mg.

Then, the null and alternative hypothesis are:

H_0: \mu=500\\\\H_a:\mu< 500

The significance level is 0.05.

The sample has a size n=5.

The sample mean is M=496.8.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=6.5.

The estimated standard error of the mean is computed using the formula:

s_M=\dfrac{s}{\sqrt{n}}=\dfrac{6.5}{\sqrt{5}}=2.907

Then, we can calculate the t-statistic as:

t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{496.8-500}{2.907}=\dfrac{-3.2}{2.907}=-1.1

The degrees of freedom for this sample size are:

df=n-1=5-1=4

This test is a left-tailed test, with 4 degrees of freedom and t=-1.1, so the P-value for this test is calculated as (using a t-table):

\text{P-value}=P(t

As the P-value (0.166) is bigger than the significance level (0.05), the effect is not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that the amount of vitamin C in a tablet sample is different from 500 mg.

4 0
3 years ago
Find the total surface area of this cone ​
Eddi Din [679]

Answer:

Step-by-step explanation:

3.14*10*(10+24^2+10^2 squared)

31.4*5870 squared

31.4*76.62

240.5554

I don't know if this is right

5 0
3 years ago
The volume of a prism is 45 km3. What would change if the volume of the prism were measured in cubic meters?
ZanzabumX [31]
Hello!

There are 1000 meters in a kilometer

Multiply 45km by 1000

45 * 1000 = 45000 cubic meters

The answer is 45,000 cubic meters

Hope this helps!
7 0
3 years ago
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