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olya-2409 [2.1K]
1 year ago
15

Suppose that the mean and standard deviation of the scores in a Statistics exam are 75 and 9.5 respectively. What minimum score

should a student obtain to be a part of the top 2.5%? Round answers to 2 decimal places.
Mathematics
1 answer:
lyudmila [28]1 year ago
8 0

The mean and standard deviation of the scores are 75 and 9.5 respectively.

The z-score is a means to find the probability of getting a particular score. This is calculated to be:

z=\frac{x-\mu}{\sigma}

where x is the score, μ is the mean, and σ is the standard deviation.

To be a part of the top 2.5 percent, the probability is:

P=\frac{2.5}{100}=0.025

The z-score for this probability, that is, P

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The sum of the digits of a two-digit number is 9. If the digits are reversed,the new number is 9 more than the original number.F
hodyreva [135]

Answer:

45

Step-by-step explanation:

Let the original number be xy where y is unit and x is tens hence original number is 10x+y When reversed, the new number is yz hence 10y+x

We know that the original number plus 9 is the reversed number hence

10x+y+9=10y+x

9y-9x=9 which when simplified we obtain that

y-x=1 equation 1

Originally, we are told that the sum of x and y is 9 hence

y+x=9 equation 2

Solving equation 1, it means y=x+1

Substituting the above into equation 2

x+1+x=9

2x=9-1

2x=8

x=8/2=4

Since y=x+1 then y=4+1=5

Therefore, the original number, xy is 45

4 0
4 years ago
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larisa [96]

Answer:

.18

Step-by-step explanation:

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4 0
3 years ago
Write the first four terms of the sequence defined by An=20-30(n-1)
monitta

The first four terms of sequence is 20, -10, -40, -70

<em><u>Solution:</u></em>

Given that we have to find the first four terms of sequence

<em><u>Given recursive formula is:</u></em>

a_n = 20 - 30(n-1)

<em><u>To find the first term, substitute n = 1</u></em>

a_1 = 20-30(1-1)\\\\a_1 = 20-30(0)\\\\a_1 = 20

Thus the first term of sequence is 20

<em><u>To find the second term, substitute n = 2</u></em>

a_2 = 20-30(2-1)\\\\a_2 = 20-30(1)\\\\a_2 = 20-30\\\\a_2 = -10

Thus the second term of sequence is -10

<em><u>To find the third term, substitute n = 3</u></em>

a_3 = 20-30(3-1)\\\\a_3 = 20-30(2)\\\\a_3 = 20-60\\\\a_3 = -40

Thus the third term of sequence is -40

<em><u>To find the fourth term, substitute n = 4</u></em>

a_4 = 20-30(4-1)\\\\a_4 = 20-30(3)\\\\a_4 = 20-90\\\\a_4 = -70

Thus the first four terms of sequence is 20, -10, -40, -70

3 0
4 years ago
A medication is administered to a patient and the
luda_lava [24]

Answer:

D ; 3 hours, 45 minutes

Step-by-step explanation:

8 0
4 years ago
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22.321
22.322
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3 years ago
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