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2 years ago

Help me i need it i will give brainlest

Mathematics

1 answer:

KatRina [158]2 years ago

4 0

Answer:

a = 5.3

Step-by-step explanation:

Plug the length of the other two sides into the Pythagorean Theorem and solve.

a² + b² = c²

a² + 6² = 8²

a² + 36 = 64

a² = 28

a = √28

a = 5.291502622 ⇒ 5.3 (to the nearest tenth)

The length of "a" is 5.3.

Hope that helps.

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2 years ago

A principal of $1,000 is invested in an account paying an annual interest rate of 6%.

Evgesh-ka [11]

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Which table represents a linear function? (will give brainliest)

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Answer:

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Step-by-step explanation:

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not satisfied.

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2 years ago

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The circumference of jj's basketball is 29.6 inches. Will it go through the basket that is 10 inches in diameter?

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Vail Resorts pays part-time seasonal employees at ski resorts on an hourly basis. At a certain mountain, the hourly rates have a

notsponge [240]

Answer:

$z=0.842$

And if we solve for a we got

$\mu=13.16 +0.842*3=15.69$

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 hourly rates of a population, and for this case we know the distribution for X is given by:

$X \sim N(\mu,3)$

For this part we want to find a value a, such that we satisfy this condition:

$P(X>13.16)=0.20$ (a)

$P(X$ (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.

As we can see on the figure attached the z value that satisfy the condition with 0.80 of the area on the left and 0.20 of the area on the right it's z=0.842. On this case P(Z<0.842)=0.8 and P(z>0.842)=0.20

If we use condition (b) from previous we have this:

$P(X$

$P(z$

But we know which value of z satisfy the previous equation so then we can do this:

$z=0.842$

And if we solve for a we got

$\mu=13.16 +0.842*3=15.69$

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2 years ago