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AnnyKZ [126]
3 years ago
12

Abby scored 87, 86, 93, and 89 on her first four history quizzes. What score does Abby need to get on her fifth quiz to have an

average of exactly 91 on her history quizzes.?
A.94 B.98 C.100 D.90
​
Mathematics
1 answer:
Delicious77 [7]3 years ago
4 0

Answer:

(C) 100

Step-by-step explanation:

The average of a data set is just all the numbers added up divided by the amount of numbers.

If we already have 4 pieces of data and we're looking for one more, we have 5 data pieces.

This means that the sum of all of the numbers in the data set will be 91\cdot5=455 if the mean is 91.

We can find the missing value by adding up what we know and subtracting from 455.

87+86+93+89=355\\\\455-355=100

So Abby needs a 100% on her fifth history quiz to have an average of 91 on all her quizzes.

Hope this helped!

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The complete question in the attached figure

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3 years ago
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You roll two fair dice, one green and one red. (a) Are the outcomes on the dice independent? Yes No (b) Find P(1 on green die an
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Answer:

1) yes ; 2) 1/36 ; 3) 1/36 ; 4) 1/18

Step-by-step explanation:

Given the following :

Two fair dice : 1 green ; 1 red

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Yes, becomes the outcome of the green dice does not have any effect on the outcome of the red dice.

B) Find P(1 on green die and 5 on red die).

Probability = (number of required outcome) / (total possible outcomes)

Total outcomes of a dice = 6

P(1 on green) = 1 / 6

P(5 on red) = 1/6

P(1 on green die and 5 on red die) :

(1/ 6) × (1/6) = 1/36

C) Find P(5 on green die and 1 on red die)

P(5 on green) = 1/6

P(1 on red) = 1/6

Find P(5 on green die and 1 on red die):

1/6 × 1/6 = 1/36

D) Find P((1 on green die and 5 on red die) or (5 on green die and 1 on red die))

P(5 on green die and 1 on red die) = 1/36

P(1 on green die and 5 on red die) = 1/36

P((1 on green die and 5 on red die) or (5 on green die and 1 on red die)) =

P(5 on green die and 1 on red die) + P(1 on green die and 5 on red die)

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aleksandr82 [10.1K]

Answer:

The answer to your question is:  14 + 2√40  = 26.6 units

Step-by-step explanation:

Data

A ( -5, 4)     B (-3, -2)     C (4, -2)     D (2, 4)

Formula

d = √(x2 - x1)² + (y2 - y1)²

Perimeter = dAB + dBC + dCD + dAD

Process

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dAB = √40 units

dBC = √(4 + 3)² + (-2 + 2)²

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dAD = √49

dAD = 7 units

Perimeter = √40 + 7 + √40 + 7

Perimeter = 14 + 2√40  = 26.6 units

3 0
3 years ago
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