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irinina [24]
3 years ago
6

Hi! Can someone please help me?

Mathematics
2 answers:
Pavel [41]3 years ago
8 0

Answer:

104

Step-by-step explanation:

allochka39001 [22]3 years ago
7 0

Answer:

i would say

B but i might be wrong

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5. Based on recent results, scores on the SAT test are normally distributed with a mean of 1511 and a standard deviation of 312.
Mekhanik [1.2K]

Answer:

The actual SAT score is 2024.

The equivalent ACT score is 29.49.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

SAT score that is in the 95th percentile

Scores on the SAT test are normally distributed with a mean of 1511 and a standard deviation of 312, which means that \mu = 1511, \sigma = 312

95th percentile is X when Z has a pvalue of 0.95, so X when Z = 1.645. The score is:

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

1.645 = \frac{X - 1511}{312}

X - 1511 = 1.645*312

X = 2024

The actual SAT score is 2024.

Equivalent ACT score:

The equivalent ACT score is the 95th percentile of ACT scores.

Scores on the ACT test are normally distributed with a mean of 21.1 and a standard deviation of 5.1, which means that \mu = 21.1, \sigma = 5.1. So

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

1.645 = \frac{X - 21.1}{5.1}

X - 21.1 = 1.645*5.1

X = 29.49

The equivalent ACT score is 29.49.

5 0
2 years ago
Please answer this to the best of your ability
sweet [91]

f(-2)=1.5

f(0)=0.5

f(3)=-1

:)

7 0
3 years ago
<br><br>What steps would you take to determine if these figures are similar? 
Alla [95]
What figures are there
4 0
3 years ago
Read 2 more answers
Y=4x-2 y= 3x+1? What’s the (x,y)?
erik [133]
Idk this cause my teacher. Any teach
8 0
3 years ago
Read 2 more answers
8. Sam divided a rectangle into 8 congruent
S_A_V [24]

Sam divided a rectangle into 8 congruent rectangles that each have a area of 5 cm2. what is the area of the rectangle before it is divided?

Answer:

Area\ of\ the\ rectangle = 40\ cm^{2}

Step-by-step explanation:

Given:

Sam divided a rectangle into 8 congruent  rectangles that each have an area of 5\ cm^{2}

We need to find the area of the rectangle before Sam divided it.

The area of the rectangle before Sam divided is 8 times of the area of the congruent rectangles.

Area of the rectangle = 8\times (area\ of\ congruent\ rectangles)

Area of the congruent rectangle is 5\ cm^{2}

So the area of the rectangle is

Area of the rectangle = 8\times 5

Area of the rectangle = 40\ cm^{2}

Therefore the area of the rectangle before divided is 40\ cm^{2}

4 0
3 years ago
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