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Vadim26 [7]
2 years ago
10

Find the 32nd term of the arithmetic sequence 32, 29, 26, 23, ...

Mathematics
1 answer:
Zinaida [17]2 years ago
3 0

Answer:

-55

-61

064

63

Step-by-step explanation:

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A math professor notices that scores from a recent exam are normally distributed with a mean of 61 and a standard deviation of 8
Alexeev081 [22]

Answer:

a) 25% of the students exam scores fall below 55.6.

b) The minimum score for an A is 84.68.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Mean of 61 and a standard deviation of 8.

This means that \mu = 61, \sigma = 8

(a) What score do 25% of the students exam scores fall below?

Below the 25th percentile, which is X when Z has a p-value of 0.25, that is, X when Z = -0.675.

Z = \frac{X - \mu}{\sigma}

-0.675 = \frac{X - 61}{8}

X - 61 = -0.675*8

X = 55.6

25% of the students exam scores fall below 55.6.

(b) Suppose the professor decides to grade on a curve. If the professor wants 0.15% of the students to get an A, what is the minimum score for an A?

This is the 100 - 0.15 = 99.85th percentile, which is X when Z has a p-value of 0.9985. So X when Z = 2.96.

Z = \frac{X - \mu}{\sigma}

2.96 = \frac{X - 61}{8}

X - 61 = 2.96*8

X = 84.68

The minimum score for an A is 84.68.

8 0
3 years ago
The perimeter of a regular octagon is 24a + 48 inches.(a) write an expression for the length of any one side of the octagon. The
Lubov Fominskaja [6]

Answer:

3a+6

Step-by-step explanation:

3a+6 = 24a+48 divided by 8 (there are 8 sides in an octagon)

covert 24a +48 inches into feet

2a+4 feet = 18 feet

subtract 4 from both sides

2a = 14

divided 2 from both sides

a = 7

covert 3a+6 inches into feet

0.25a +0,5

0.25(7)+0.5

= 2.25

verify your answer

2.25 x 8 = 18

4 0
3 years ago
The length of a rectangular garden is represented by 3x-4 and the width is represented by 2x-5. Which of the following represent
lisabon 2012 [21]
Well area of a rectangle is given by the equation

a = L x W

Since they give us the expression for length and width we can find the expression for the area...

a = (3x - 4) x (2x - 5) or simply
a = (3x -4)(2x - 5)

Now we multiply

6x^2 - 15x - 8x + 20 =
6x^2 - 23x + 20

Your answer is C.
8 0
3 years ago
Graph the function.<br> y = 3 square root x
s2008m [1.1K]

Answer:

x=3×3

Step-by-step explanation:

ok it's fine if you don't mind

8 0
2 years ago
Can someone help me with part B
leonid [27]
B=5a-4
pick any a valve and replace it with a you will get b
4 0
3 years ago
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