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Marrrta [24]
3 years ago
12

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

mean of 950 and a standard deviation of 155 while the ACT scores have a mean of 22 and a standard deviation of 4. Assuming the performance on both tests follows a normal distribution, determine which test the student did better on.
Mathematics
1 answer:
antoniya [11.8K]3 years ago
8 0

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.

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Answer:

2ft

Step-by-step explanation:

because perimeter of a rectangle formula is p=2(l+w)

7 0
3 years ago
there are 2.54 centimeters in 1 inch. there are 100 centimeters in 1 meter.questionto the nearest meter, how many meters are in
Gre4nikov [31]

There are 7 meters in 279 inches.

  • There are 2.54 centimeters in 1 inch.
  • There are 100 centimeters in 1 meter.
  • The number of inches is given to be 279.
  • Unit conversion is a multi-step procedure that includes multiplying or dividing by a numerical factor, determining the appropriate number of significant digits, and rounding.
  • First of all, we need to convert inches to centimeters.
  • 1 inch equals 2.54 centimeters.
  • 279 inches equals 2.54*279 centimeters.
  • 279 inches equals 708.66 centimeters.
  • Now, we need to convert these centimeters into meters.
  • Meters in 100 centimeters = 1
  • Meters in 1 centimeters = 1/100
  • Meters in 708.66 centimeters = (1/100)*708.66
  • Meters in 708.66 centimeters = 7.0866
  • Thus, there are approximately 7 meters in 279 inches.

To learn more about unit conversion, visit :

brainly.com/question/11543684

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8 0
1 year ago
What number will give me 0 if I divide it by -3
vekshin1
Easy!!!!! its zero!!!!! LOL

5 0
3 years ago
Mai and Priya were on scooters. Mai traveled 15 meters in 6 seconds. Priya traveled 22 meters in 10 seconds. Who was moving FAST
LenaWriter [7]

Answer:

mai is faster

Step-by-step explanation:

because even though she on goes 15 meters in 6 seconds she would have 4 times the advantage because of the extra 4 seconds she has

6 0
2 years ago
A scale model of a building is 3 inches tall. If the building is 90 feet tall, find the scale of the model.
olganol [36]

The scale model of a building 3 inches tall if the building is 90 feet tall is 2:5

<h3>Scaling of measurement</h3>

Scaling is the way of enlarging or reducing the image of an object.

Given scale model of a building is 3 inches, if the building is 90feet tall, to write the scale;

Convert both measures to same units

Since 1 feet. = 12 in

90 feet = 90/12 in = 7.5 in

Take the ratio

3 : 7.5 = 30: 75

Reduce to lowest term

30: 75 = 2 : 5

Hence the scale model of a building 3 inches tall if the building is 90 feet tall is 2:5

Learn more on scale model here: brainly.com/question/261465

#SPJ1

7 0
2 years ago
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