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Dvinal [7]
3 years ago
7

The ACT is an exam used by colleges and universities to evaluate undergraduate applicants. The test scores are normally distribu

ted. In a recent year, the mean test score was 21.1 and the standard deviation was 5.0. Find the z-score for the student who scores a 15.
Mathematics
1 answer:
Aleonysh [2.5K]3 years ago
8 0

Answer:

- 0.40666

Step-by-step explanation:

Given that:

Mean, m = 21.1

Standard deviation, s = 5.0

Score, x = 15

Zscore formula :

Zscore = (x - m) / s

Zscore = (15 - 21.1) / 15

Zscore = - 6.1 / 15

Zscore = - 0.40666

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What is 2.34 billion in scientific notation
Gre4nikov [31]

2.34 x 10 to the 9th power i think

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2 years ago
Nelly the narwhal can swim 12 laps in 8 minutes how many minutes per lap is that?
valentinak56 [21]

Answer:

1.5 lpm

Step-by-step explanation:

12 laps divided by 8 minutes = 1.5 laps per minute

4 0
2 years ago
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Please help! -The volume inside a rectangular storage room is 2,052 cubic feet. The room is 9 feet high. Find the area of the fl
Airida [17]

Answer:

volume=Length x width x height

so area is Length x width, therefore you would just take 2,025 and divide by 9 to get 225 sq. ft for the area.

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
What two numbers multiply to -126 and add up to -65
Airida [17]
Xy = -126
x + y = -65

xy = -126
\frac{xy}{x} = \frac{-126}{x}
y = \frac{-126}{x}

x + y = -65
x + \frac{-126}{x} = -65
\frac{x^{2}}{x} + \frac{-126}{x} = -65
\frac{x^{2} - 126}{x} = -65
-65x = x^{2} - 126
0 = x^{2} + 65x - 126
x = \frac{-(65) \+ \sqrt{(65)^{2} - 4(1)(-126)}}{2(1)}
x = \frac{-65 \± \sqrt{4225 + 504}}{2}
x = \frac{-65 \± \sqrt{4729}}{2}
x = \frac{-65 \± 68.8}{2}
x = \frac{-65 + 68.8}{2}  or  x = \frac{-65 - 68.8}{2}
x = \frac{3.8}{2}  or  x = \frac{-133.8}{2}
x = 1.9  or  x = -66.9

     x + y = -65
  1.9 + y = -65
- 1.9           - 1.9
           y = -66.9
    (x, y) = (1.9, -66.9)

or

        x + y = -65
  -66.9 + y = -65
+ 66.9        + 66.9
              y = 1.9
        (x, y) = (-66.9, 1.9)

The two numbers that add up to -65 and can multiply to -126 are the numbers -66.9 and 1.9.
3 0
3 years ago
Which expression is equivalent to
Kruka [31]

Answer:

B) 1/x^2

Step-by-step explanation:

Simplify the following:

x^9/x^11

Hint: | For all exponents, a^n/a^m = a^(n - m). Apply this to x^9/x^11.

Combine powers. x^9/x^11 = x^(9 - 11):

x^(9 - 11)

Hint: | Evaluate 9 - 11.

9 - 11 = -2:

Answer:  x^(-2) = 1/(x^2)

5 0
2 years ago
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