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posledela
3 years ago
10

When Lorenzo finished his exam last week, he thought the test was over. But the instructor put z-scores on each student's paper

and asked them to figure out their original score. The mean for the class is µ = 61 and standard deviation is σ = 8. Lorenzo's z-score is +1.75. What did he score on the exam?
Mathematics
1 answer:
Anarel [89]3 years ago
5 0

Answer:

Lorenzo's score on exam was 75.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 61

Standard Deviation, σ = 8

We are given that the distribution of test score is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

z-score = 1.75

We have to find the value of x.

Putting values, we get

1.75 = \dfrac{x - 61}{8}\\\\x = 1.75(8) + 61\\x = 75

Thus, Lorenzo's score on exam was 75.

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Find the least common multiple of 10x4 and 6w3 .
jarptica [38.1K]
10x⁴ and 6w³

1) We see no the same letters in both expressions, so we will need to include all letters in the final answer. x⁴w³

2) number part
10 = 2*5
6=3*2
We need 2*3*5=30  (we need 2 only one times, because we have 2 only one time in each of the numbers).
3)The least common multiple
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Answer is  30x⁴w³.

8 0
3 years ago
What are the measures of the missing angles x°, y° of a regular triangle if one angle measure equals 60°?​
MArishka [77]

Answer:

So each interior angle measurement of the regular triangle is 60 degrees.

Step-by-step explanation:

If the triangle is regular, this means all the side measurements are congruent to each other and that all the angle measurements are congruent to each other.

If the sum of the angles in a triangle is 180 degrees and you know they are each the same then you could either solve x+x+x=180 or know we are just dealings with an equiangular triangle in which all angles have measurement 60 degrees.

If need more convincing, let's actually solve:

x+x+x=180

3x=180

x=180/3

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So each interior angle measurement of the regular triangle is 60 degrees.

3 0
3 years ago
A bag contains 6 blue marbles, 9 red marbles, and 5 green marbles. What-
s344n2d4d5 [400]

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3 years ago
Write a system of equations to describe the situation below, solve using any method, and fill in the blanks. The volleyball team
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Answer: After washing 20 cars together, each team will have raised the same amount in total.

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