Suppose SAT Writing scores are normally distributed with a mean of 498 and a standard deviation of 114. A university plans to award scholarships to students whose scores are in the top 6%. What is the minimum score required for the scholarship? Round your answer to the nearest whole number, if necessary.

the minimum score required for the scholarship is 676.

Step-by-step explanation:

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

z = (x - µ)/σ

Where

x = SAT Writing scores.

µ = mean score

σ = standard deviation

From the information given,

µ = 498

σ = 114

The probability value for the scores in the top 6% would be (1 - 6/100) = (1 - 0.06) = 0.94

Looking at the normal distribution table, the z score corresponding to the probability value is 1.56

Therefore,

1.56 = (x - 498)/114

Cross multiplying by 114, it becomes

1.56 × 114 = x - 498

177.84 = x - 498

x = 177.84 + 498

x = 676 rounded to the nearest whole number.

(1, –1), (16, –4), (36, –6)

step-by-step explanation:

given that the function is

this can also be written as

we have to graph this function and check which list of points lie on the graph

see attachment for graph:

we find that the points lying are (1,-1) (16,-4) and (36,-6)

since square root is there we find that x can only be posiitve but y can be since square root both positive and negative.

the number of possible outcomes that do not show a 1 on the first spinner and show the number 4 on the second spinner is 2.

spinner 1 spinner 2

1                     1

1                     2

1                     3

1                     4

2                   1

2                   2

2                   3

2                   4   = not 1, and 4

3                   1

3                   2

3                   3

3                   4 = not 1, and 4

only 2 outcomes have passed the given condition.

step-by-step explanation: