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Leviafan [203]
3 years ago
8

The mean of a normally distributed data set is 45, and its standard deviation is 7. For this data, the probability of which rang

e of numbers
is represented by the area of the shaded region in the given curve?
OA. 31 to 45
OB. 38 to 52
O c. 45 to 59
OD. 24 to 38
Mathematics
1 answer:
inn [45]3 years ago
6 0

Answer:

A. 31 to 45

Step-by-step explanation:

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Prove the following using a direct proof:
hodyreva [135]

Answer:

Step-by-step explanation:

Prove: That the sum of the squares of 4 consecutive integers is an even integer.

An integer is a any directed number that has no decimal part or indivisible fractional part. Examples are: 4, 100, 0, -20,-100 etc.

Selecting 4 consecutive positive integers: 5, 6, 7, 8. Then;

5^{2} = 25

6^{2} = 36

7^{2} = 49

8^{2} = 64

The sum of the squares = 25 + 36 + 49 + 64

                                       = 174

Also,

Selecting 4 consecutive negative integers: -10, -11, -12, -13. Then;

-10^{2} = 100

-11^{2} = 121

-12^{2} = 144

-13^{2} = 169

The sum of the squares = 100 + 121 + 144 + 169

                                     = 534

Therefore, the sum of the squares of 4 consecutive integers is an even integer.

8 0
3 years ago
F(x)=−x 2−3x+3 find f(7)
lidiya [134]

Answer:

22

Step-by-step explanation:

because i swiched the x's to the 7 and multipled

4 0
2 years ago
Read 2 more answers
In a coordinate plane, what is the distance between (4,-8) and (4, -12)?
Marina86 [1]
Since x co-ordinates are constant, answer has to be difference in y co ordinates therefore the answer is 4
7 0
3 years ago
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In a certain exam of grade ten, 75% students got high score in mathematics, 65%
faltersainse [42]

(i) The percentage of students who got high scores in both the subjects English and Mathematics is 46%.

(ii) The total number of students who got high scores either in Mathematics or in English if 300 students had attended the exam exists 138.

<h3>What is probability?</h3>

The probability exists in the analysis of the possibilities of happening of an outcome, which exists acquired by the ratio between favorable cases and possible cases.

The number of students who got high scores in Mathematics was 75%.

The number of students who got high scores in English was 65%.

(i) The percentage of students who got high scores in both the subjects

100% - 6% = 94%

(75% + 65%) - 94%

= 140% - 94%

= 46%

Therefore, the percentage of students who got high scores in both the subjects English and Mathematics is 46%.

(ii) The total number of students who got high scores either in Mathematics or in English if 300 students had attended the exam

= 300 * 46%

= 300 * (46 / 100)

= 300 * 0.46

= 138.

Therefore, the total number of students who got high scores either in Mathematics or in English if 300 students had attended the exam exists 138.

To learn more about probability refer to:

brainly.com/question/13604758

#SPJ9

6 0
1 year ago
Micah is given $50 to spend on a vacation. He decides to spend $5 a day. The amount Micah has left and the number of days are re
Tems11 [23]

Answer:

Micah will have $15 dollars left after 7 days.

Step-by-step explanation:

50/5 is 10, so Micah could stay for 10 days. But, if he wants to have $15 left, he could only stay for 7 days.

3 0
2 years ago
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