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DochEvi [55]
3 years ago
10

Suppose SAT Mathematics scores are normally distributed with a mean of 518 and a standard deviation of 113. A university plans t

o recruit students whose scores are in the top 9%. What is the minimum score required for recruitment? Round your answer to the nearest whole number, if necessary.
Mathematics
1 answer:
damaskus [11]3 years ago
3 0

Answer: the minimum score required for recruitment is 669

Step-by-step explanation:

Suppose SAT Mathematics scores are normally distributed, we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ

Where

x = SAT Mathematics scores.

µ = mean score

σ = standard deviation

From the information given,

µ = 518

σ = 113

The probability value for the top 9% would be (1 - 9/100) = (1 - 0.09) = 0.91

Looking at the normal distribution table, the z score corresponding to the probability value is 1.34

Therefore,

1.34 = (x - 518)/113

Cross multiplying by 113, it becomes

1.34 × 113 = x - 518

151.42 = x - 518

x = 151.42 + 518

x = 669 to the nearest whole number.

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rewona [7]

Answer:

An even number

Step-by-step explanation:

Integers which are multiples of 2, are even numbers.

Integers which aren't multiples of 2, are odd numbers.

As integers can be positive and negative both, odd and even numbers also can be positive and negative.

7 0
3 years ago
City R has a temperature of -2 degrees. City S has a temperature of -6 degrees. Write an inequality to compare the temperatures
elena-s [515]

Answer:

  -2 > -6  . . .   or  . . .  R > S

Step-by-step explanation:

If you plot the temperatures of the two cities on a number line, you see that the temperature for City R is plotted to the right of the temperature for City S. This means the temperature of City S is less than that of City R.

If your inequality relates cities:

  S < R   or   R > S

If your inequality relates temperatures:

  -6 < -2   or   -2 > -6

3 0
3 years ago
If angle∠ A and angle∠ B are supplementary angles and angle∠ A is eighteight times as large as angle∠ ​B, find the measures of a
Shalnov [3]
A = 8B
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4 0
3 years ago
Someone please help me make a proof for the bottom question
Lerok [7]

Answer:

DB = CA (Proved)

Step-by-step explanation:

Statement 1.

∠D = ∠C, M is the midpoint of DC and ∠1 = ∠2

Reason 1.  

Given

Statement 2.

Between Δ DBM and Δ CAM,  

(i) DM = CM,

(ii) ∠D = ∠C  and  

(iii) ∠DMB = ∠CMA

Reason 2.

(i) given  

(ii) given and  

(iii) ∠ DMB = ∠1 + ∠AMB and  ∠CMA = ∠2 + ∠AMB

Since ∠1 = ∠2, so, ∠DMB = ∠CMA.

Statement 3.

Δ DBM ≅ Δ CAM

Reason 3.

By angle-side-angle rule.

Statement 4.

DB = CA

Reason 4.

Corresponding sides of two congruent triangles. (Answer)

7 0
3 years ago
60% expressed as a ration is StartFraction 60 Over 100 EndFraction. What is this as a fraction in its reduced form?
Fynjy0 [20]

Answer:

3/5

Step-by-step explanation:

60/100 can be reduced down to 6/10 by dividing by 10, and then you can simplify even more by dividing 6/10 by 2, which leaves you with 3/5.

I hope this helps :)

3 0
3 years ago
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