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djyliett [7]
3 years ago
8

On a standardized aptitude test, scores are normally distributed with a mean of 100 and a standard deviation of 10. Find the per

cent of scores that are: a) Between 90 and 100
Mathematics
1 answer:
soldi70 [24.7K]3 years ago
5 0

Answer:

34.134%

Step-by-step explanation:

Given :

Normal distribution ;

Mean, m = 100 ; Standard deviation, s = 10

Percentage score between 90 and 100

P(90 ≤ x ≤ 100)

Recall : Zscore = (x - m) / s

P[(90 - 100) / 10 ; (100 - 100) / 10]

P[(10/10 ; 0 / 10)]

P(Z ≤ 1) - P(Z≤0) (Using Z probability calculator)

0.84134 - 0.5

= 0.34134

= 0.34134 * 100%

= 34.134%

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John, Jim and Joe each went for a medical examination. Their combined height was 5.25 m. If John was 12 cm shorter than Jim and
kolezko [41]

The 5.25 m combined height of John, Jim, and Joe, the 12 cm height difference between John and Jim and the 0.09 m difference in height between Jim and Joe, indicates that solution to the word problem is Joe was 1.73  meters tall

<h3>What is a word problem?</h3>

A word problem is a presentation of a math problem using verbal description rather than numbers, variables and operators.

The combined height of John, Jim and Joe = 5.25 m

John's height = Jim's height - 12 cm = Jim's height - 0.12

Jim's height = Joe's height + 0.09 m

Let <em>h </em>represent Joe's height, we get;

Jim's height = h + 0.09

John's height = h + 0.09 - 0.12 = h - 0.03

John's height = h - 0.03

The sum of the heights is therefore; h + h + 0.09 + h - 0.03 = 3·h + 0.06

The sum of their heights = Their combined height = 5.25 meters

Therefore; 3·h + 0.06 = 5.25

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Joe's height, <em>h</em> = 1.73 meters

Jim's height = 1.73 + 0.09 = 1.82

Jim's height = 1.82 meters

John's height = 1.73 - 0.03 = 1.7

John's height is 1.7 meters

Joe was 1,73 meters tall

Learn more about mathematics word problems?

brainly.com/question/19386917

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4 0
1 year ago
A pile of earth removed from an excavation is a cone measuring 12 ft high and 30 ft across its base. How many trips will it take
sattari [20]

Answer:

12 trips

Step-by-step explanation:

Given;

Dimension of cone shapef pile of earth;

height h = 12 ft = 4 yards

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Substituting the values;

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N = 11.64

N ≈ 12 trips

Therefore, the truck will make 12 trips

8 0
3 years ago
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