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3 years ago

Please need help Find area of shaded region. Round to the nearest tenth

Mathematics

1 answer:

vlabodo [156]3 years ago

7 0

Answer:

818.4 in²

Step-by-step explanation:

The area (A) of the shaded region is

A = area of circle - ( area of white sector + area of triangle )

= ( π × 27.8²) - (π × 27.8² × $\frac{210}{360}$ +(0.5 × 27.8 ×27.8 × sin150°)

= 2427.95 - (1416.30 + 193.21 )

= 2427.95 - 1609.51 ≈ 818.4 in²

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A high school student took two college entrance exams, scoring 1070 on the SAT and 25 on the ACT. Suppose that SAT scores have a

antoniya [11.8K]

Answer:

Due to the higher z-score, he did better on the SAT.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Determine which test the student did better on.

He did better on whichever test he had the higher z-score.

SAT:

Scored 1070, so $X = 1070$

SAT scores have a mean of 950 and a standard deviation of 155. This means that $\mu = 950, \sigma = 155$ .

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{1070 - 950}{155}$

$Z = 0.77$

ACT:

Scored 25, so $X = 25$

ACT scores have a mean of 22 and a standard deviation of 4. This means that $\mu = 22, \sigma = 4$

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{25 - 22}{4}$

$Z = 0.75$

Due to the higher z-score, he did better on the SAT.

8 0

3 years ago

Louis is playing a video game. He begins with an initial score of 300 points but loses 120 points throughout the game. He repres

elixir [45]

Answer:

300 + (-)120

Step-by-step explanation:

3 0

3 years ago

Please help me!!!!!!

Genrish500 [490]

Aye do 9*9*6 then it gives u the answer

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3 years ago

The national assessment of educational progress (naep) gave a test of basic arithmetic and the ability to apply it in everyday l

HACTEHA [7]

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3 years ago

Write an algebraic expression using n the sum of a number and 7

liubo4ka [24]

Answer:

n+7

Step-by-step explanation:

When we have any unknown quantity, we can call it mostly x,y,z

so, here

Let take an unknown number = n

then

we need to do here " sum of a number and 7 in algebraic form"

so, it becomes

n + 7 (Answer)

6 0

3 years ago