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TiliK225 [7]
3 years ago
10

Please help . thank u

Mathematics
1 answer:
Ierofanga [76]3 years ago
5 0
Hi there!

The measure for the angle B is 13.

A complementary angle equals to 90 degrees. You add (2x + 10) and (3x + 15) and equal it to 90. Combine like terms and balance out the problem like a 2 step variable equations.

Hope this helps !
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A normal population has mean μ-9 and standard deviation σ-5. Round the answers to fou decimal places. Part 1 What proportion of
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Answer:

a) P(X

And we can find this probability using the normal standard table or excel:

P(z

b) P(X\frac{5-\mu}{\sigma})=P(Z>\frac{5-9}{5})=P(z>-0.8)

And we can find this probability using the complement rule and the normal standard table or excel and we got:

P(z>-0.8)=1-P(z

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:

X \sim N(9,5)  

Where \mu=9 and \sigma=5

Part a

We are interested on this probability

P(X

And the best way to solve this problem is using the normal standard distribution and the z score given by:

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If we apply this formula to our probability we got this:

P(X

And we can find this probability using the normal standard table or excel:

P(z

Part b

We are interested on this probability

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If we apply the z score formula to our probability we got this:

P(X\frac{5-\mu}{\sigma})=P(Z>\frac{5-9}{5})=P(z>-0.8)

And we can find this probability using the complement rule and the normal standard table or excel and we got:

P(z>-0.8)=1-P(z

7 0
3 years ago
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Answer:

Yes it is correct.

Step-by-step explanation:

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