All categories

3 years ago

So I need help with this math problem

Mathematics

1 answer:

jenyasd209 [6]3 years ago

4 0

You would solve this problem by using Pythagorean Theorem. This theorem states a^2+b^2=c^2. C is ALWAYS the hypotenuse. We would have to solve for the smaller triangle first. It would look something like this.
3^2+b^2=5^2
9+b^2=25
b^2=16
b=4
Therefore, the missing side to the small triangle is 4. Now, we can solve for the hypotenuse of the bigger triangle,
4^2+7^2=c^2
16+49=c^2
65=c^2
Side z is approximately equal to 8.

You might be interested in

Emissions of sulfur dioxide by industry sett off chemical changes in the atmosphere that result in "acid rain". The acidity of l

horsena [70]

Answer:

Case n =5

$z=\frac{4.8-5}{\frac{0.5}{\sqrt{5}}}=-0.894$

Case n =15

$z=\frac{4.8-5}{\frac{0.5}{\sqrt{15}}}=-1.549$

Case n = 40

$z=\frac{4.8-5}{\frac{0.5}{\sqrt{40}}}=-2.530$

P value

Case n =5

$p_v =P(z$

Case n =15

$p_v =P(z$

Case n =40

$p_v =P(z$

Step-by-step explanation:

Data given and notation

$\bar X=4.8$ represent the sample mean

$\sigma=0.5$ represent the population standard deviation

$n$ sample size

$\mu_o =5$ represent the value that we want to test

$\alpha$ represent the significance level for the hypothesis test.

z 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 5, the system of hypothesis would be:

Null hypothesis: $\mu \geq 5$

Alternative hypothesis: $\mu < 5$

Since we know the population deviation, is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

z-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:

Case n =5

$z=\frac{4.8-5}{\frac{0.5}{\sqrt{5}}}=-0.894$

Case n =15

$z=\frac{4.8-5}{\frac{0.5}{\sqrt{15}}}=-1.549$

Case n = 40

$z=\frac{4.8-5}{\frac{0.5}{\sqrt{40}}}=-2.530$

P-value

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

Case n =5

$p_v =P(z$

Case n =15

$p_v =P(z$

Case n =40

$p_v =P(z$

5 0

3 years ago

How are these triangles congruent ? <br> - HL <br> - AAA<br> - ASA

olchik [2.2K]

ASA..........................

3 0

3 years ago

A car leaves Albany, NY, and travels west toward Buffalo, NY. The equation D =280-59t can be used to represent the distance, D,

Ivanshal [37]

Answer:

the number of miles per hour

Step-by-step explanation:

5 0

2 years ago

Find the missing terms in the following sequence 2,4,8,16,30, , , , 186,

ivann1987 [24]

Are you sure it is correct because for each one your just doubling the number. 2+2=4. 4+4=8. 8+8=16. I think its suppose to be 16+16= 32 and so on, but I may be wrong

5 0

3 years ago

Janelle has a 12 ounce can of soft drink. She drink 3/5 of the soft drink. How many ounces of soft drink are left in tbe can?

ivann1987 [24]

Answer: 4.8 ounces

Step-by-step explanation:

In total there are 12 ounces. If she drinks 3/5 of 12 you multiply 3/5 by 12.

3/5 * 12 would be equal to 3/5 * 12/1 which is 36/5. You have found how much she has drank. 36/5 is also equal to 7.2 ounces. Subtract 7.2 form 12 and you get 4.8 ounces.

Hope this helped!

7 0

3 years ago

So I need help with this math problem​

So I need help with this math problem