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Leto [7]
3 years ago
10

Scores on a recent ACT test yielded mean 20.9 and standard deviation 4.7. find the probability that a random sample of 32 test s

cores had a mean below 20.
a) .1914
b) .5753
c) .8599
d) .4247
e) .1401
Mathematics
1 answer:
Ivan3 years ago
6 0

Answer:

E. 0.1401

Step-by-step explanation:

The mean here has been given as 20.9

The standard deviation sd = 4.7

Random sample n = 32

Sd/√n

= 4.7/√32

= 0.8309

Probability of x less than 20

= 20-20.9/0.8309

= -0.9/0.8309

= -1.083

P(z<-1.083)

When we go to the z table

= 0.1401

Therefore the probability is 0.1401 and the answer to this question is E.

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The area of a field can be expressed as A = 2x + 6 / x + 1 square yards. If the length is
Dafna1 [17]

Answer:

The width of the field is 4x + 20 / x² -2x -3 yards

Step-by-step explanation:

The area of a rectangular field is given by the following formula:

area = length*width

In this case we want to find the width of this field, therefore if we isolate the width in the expression above we will have a suitable expression:

width*length = area

width = area / length

So applying the data from the problem, we have:

width = [(2x + 6)/(x + 1)] / [(x² - 9)/(2x + 10)]

width = [(2x + 6)/(x + 1)]*[(2x + 10)/(x² - 9)]

width = 2(x + 3)*(2x + 10) / (x+1)*(x - 3)*(x + 3)

width = 2*(2x + 10) / (x + 1)*(x - 3)

width = 4x + 20 / x² -2x -3

5 0
3 years ago
$85 jeans, 7% tax what is the total cost<br>please a show work​
fgiga [73]

Answer:

<em>See below.</em>

Step-by-step explanation:

Divide to turn the percentage into a decimal.

\frac{7}{100} =0.07

Multiply to find the total amount of tax.

85*0.07=5.95

Add it to the total.

85+5.95=90.95

<em>Answer: </em>90.95<em />

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<em>:)</em>

8 0
3 years ago
Read 2 more answers
1 question 60 points need help now
kkurt [141]

Answer:

The answer to your question is  x = 0 and x = 1

Step-by-step explanation:

Equation

                       \frac{x}{x - 2} + \frac{x - 1}{x + 1} = -1

1)

                      \frac{x(x + 1) + (x - 2)(x - 1)}{(x - 2)(x + 1)} = - 1

Expand

2)                  x² + x + x² - x - 2x + 2 = -1(x - 2)(x + 1)

Simplify

3)                  2x² -2x + 2 = -1(x² + x - 2x - 2)

4)                  2x² - 2x + 2 = -x² + x + 2

Equal to zero

5)                  2x² - 2x + 2 + x² - x - 2 = 0

6)                  3x² - 3x = 0

Factor

7)                  3x(x - 1) = 0

8)                  3x₁ = 0                   x₂ - 1 = 0

9)                    x₁ = 0/3                x₂ = 1

10)                  x₁ = 0                    x₂ = 1

4 0
4 years ago
a glacier receded 4 feet a day for a period of 25 days. how much shorter was the glacier at the end of the period.
dangina [55]

Alright, lets get started.

In the question given that glacier receded 4 feet a day for a period of 25 days.

Which shows in 1 day, it recedes = 4 feet

means in 1 day, the height of the glacier gets shorter = 4 feet

So, in 25 days, the height of the glacier gets shorter = 4 * 25

So, in 25 days, the height of the glacier gets shorter = 100 feet

It means the glacier will get 100 feet shorter at the end of the period of 25 days. : Answer

Hope it will help :)



6 0
3 years ago
7p²-30p + 8 how do you factor this trinomial
tamaranim1 [39]

Step-by-step explanation:

7p²-30p+8

=(p-4)(7p-2)

8 0
3 years ago
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