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Mamont248 [21]
3 years ago
12

For a language test with normally distriuted scores, the mean was 70 and the standard deviation was 10. Approximately what perce

ntage of test takers scored a 60 or above?
Mathematics
1 answer:
Alborosie3 years ago
6 0

Answer: 84.13%

Step-by-step explanation:

Given : The scores in a a language test with normally distributed.

Mean : \mu=70

Standard deviation: \sigma= 10

Let x be the random variable that represents the scores of students.

Formula for z-score: z=\dfrac{x-\mu}{\sigma}

For x= 60 , we have

z=\dfrac{60-70}{10}=-1

The probability f test takers scored a 60 or above :-

P(x\geq60)=P(\geq-1)=1-P(z

Hence, the percentage of test takers scored a 60 or above = 84.13%

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The price of two pairs and six apples is $14. The price of three pairs and nine apples is $21. Can you determine the unit prices
deff fn [24]

Answer:

  no

Step-by-step explanation:

The second purchase is exactly half-again larger than the first purchase, so sheds no light on the relative costs of the items. The per-item costs can be found when the ratio of items purchased is different from one buy to another.

___

We can only say that the cost of 1 pear and 3 apples is $7.

6 0
3 years ago
Eric invited 200 of his friends to his graduation party. 75% of those invited said yes. 15% said no. The rest said maybe. 10% of
Ilia_Sergeevich [38]

Answer:

145

Step-by-step explanation:

75% of 200 = 150

75% + 15% = 90%

100% - 90% = 10%

10% of 200 = 20

10% of 150 = 15

150 + 15  - 20 = 145

145 friends attended the party.

4 0
2 years ago
1. Lenny cleans 75 cars in 5 days. At this rate, how many days will it take him to wash 90 cars? *please I need some help
Ahat [919]
Answer: 6 days

Explanation: If he washes 75 cars in 5 days; and you need to find how many days it takes to wash 90 you do 75 divided by 5 which is 15; so he washes 15 cars in a day, then do 90 divided by 15 which is 6 days
8 0
3 years ago
Use DeMoivre's Theorem to find (3cis*pi/6)^3
Sonbull [250]

The correct value of (3cis(pi/6))³ is 27i.

<h3>What is Complex Number?</h3>

Complex numbers are numbers that consist of two parts — a real number and an imaginary number. Complex numbers are the building blocks of more intricate math, such as algebra.

Given the complex number in polar coordinate expressed as

z = r(cos∅+isin∅)

zⁿ =  {r(cos∅+isin∅)}ⁿ

According to DeMoivre’s Theorem;

zⁿ =  rⁿ(cosn∅+isinn∅)

Given the complex number;

(3cis(pi/6))³

= {3(cosπ/6 + isinπ/6)}³

Using  DeMoivre’s Theorem;

= 3³(cos3π/6 + isin3π/6)

=  3³(cosπ/2 + isinπ/2)

= 3³(0 + i(1))

= 27i

Thus, the correct value of (3cis(pi/6))³ is 27i.

Learn more about Complex number from:

brainly.com/question/10251853

#SPJ1

7 0
2 years ago
How do i find the value of x in x+7=2
Shkiper50 [21]

Answer:

x = -5

Step-by-step explanation:

Get x by itself on the left side. To do that, subtract the 7. Do to both sides. This makes x = -5

8 0
3 years ago
Read 2 more answers
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