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2 years ago

Select the correct answer.

Mathematics

1 answer:

lyudmila [28]2 years ago

8 0

Step-by-step explanation:

because degree is power.. so the expression with power of 8 is A

for B, the power is 6

for C the power is 9

and D the power is 2

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PLEASE HELP SMART PEOPLE WILL MARK BRAINLIEST

sergey [27]

Answer:

$\angle YPR = 42^o$

Step-by-step explanation:

Its given:

$\angle FPY = 90^o \\ \angle YPR + \angle FPR = 90^0 \\ 4p + 80 + 5p + 82 = 90^o \\ 9p = -72^o \\ p = -8 \\ \\ \angle YPR = 5(-8) + 82 = 42^o$

5 0

3 years ago

A 5-foot tall person standing with her back to the sun casts an 12-foot long shadow. To the nearest degree, what angle does the

swat32

Answer:

23°

Explanation:

1) Data:

a) height of the person = opposite-leg to the angle the sun makes with the ground = 5 ft

b) length of the shadow = adjacent-leg to the angle the sun makes with the ground = 12 ft

c) angle, α = ?

2) Solution

tanα = opposite-leg / adjacent-leg

tanα = 5 ft / 12 5t = 5/12

α = arctan(5/12) = 22.6°

22.6° rounded to the nearest degree is 23° ← answer

5 0

3 years ago

Assume the random variable X is normally distributed with mean 53 and standard deviation of 6. Find the 9th percentile

satela [25.4K]

Answer:

The 9th percentile of X is 44.96

Step-by-step explanation:

Percentiles for a Normal Distribution

The standard normal distribution can be used for computing percentiles. For example, the median is the 50th percentile being the center value, the first quartile is the 25th percentile, and so on.

To compute percentiles of a normal distribution we can use the formula

$X=\mu+z\sigma$

Where $\mu$ is the mean, $\sigma$ is the standard deviation of the variable X, and z is the z-score value from the standard tables

The value of X can also be directly obtained from digital tables included in math packages and tools like Excel.

The Excel NORM.INV Function calculates the inverse of the cumulative Normal Distribution Function for a given value of p, $\mu$ and $\sigma$ .

We'll use the values

$p=9\%=0.09,\ \mu=53, \ \sigma=6$

NORM.INV(0.09,53,6) results in 44.96 which means the 9th percentile of X is 44.96

We could have used the standard normal distribution, which only needs the value of p

$NORM.S.INV( 0.09 )=-1.34$

That is the value of z, we now apply the formula

$X=\mu+z\sigma$

$X=53+(-1.34)\cdot 6=44.96$

We get the very same result as before

6 0

3 years ago

Can someone help ple

svp [43]

Answer:

4 units

Step-by-step explanation:

the first dot and the last links at r

5 0

3 years ago

Maisie has three times as many CDs as Ken. ken has twice as many CDs as Jo. Jo has more than 10 CDs. What is the least number of

STatiana [176]

Answer:

Least number is 60.

Step-by-step explanation:

Let the number of CDs has Jo be represented by x + 10. Where x = 0, 1, 2, 3....

Then, since Ken has twice as many CDs as Jo, the number of CDs that Ken has can be expressed as;

2(x + 10) = 2x + 20

Maisie has three times as many CDs as Ken, then the number of CDs that Maisie has can be expressed as;

3(2x + 20) = 6x + 60

Thus to determine the least number of CDs that Maisie can have, let x = 0.

3(2x + 20) = 6x + 60

= 6(0) + 60

= 60

Therefore, the least number of CDs that Maisie can have is 60.

3 0

3 years ago