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2 years ago

A data set is normally distributed with a mean of 27 and a standard deviation of 3.5.

Mathematics

1 answer:

VLD [36.1K]2 years ago

8 0

Answer: -0.57

Step-by-step explanation:

z-score: data - mean / standard deviation

25 - 27 / 3.5

= -0.57

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A number is decreased by seven. Then, the new number is multiplied by 3 to get an answer of -9. What is the original number?

stellarik [79]

4-7= -3
-3x3= -9
answer is C

8 0

2 years ago

Eric's class consists of 12 males and 16 females. If 3 students are selected at random, find the probability that they

Reptile [31]

Answer:

The probability that all are male of choosing '3' students

P(E) = 0.067 = 6.71%

Step-by-step explanation:

Let 'M' be the event of selecting males n(M) = 12

Number of ways of choosing 3 students From all males and females

$n(M) = 28C_{3} = \frac{28!}{(28-3)!3!} =\frac{28 X 27 X 26}{3 X 2 X 1 } = 3,276$

Number of ways of choosing 3 students From all males

$n(M) = 12C_{3} = \frac{12!}{(12-3)!3!} =\frac{12 X 11 X 10}{3 X 2 X 1 } =220$

The probability that all are male of choosing '3' students

$P(E) = \frac{n(M)}{n(S)} = \frac{12 C_{3} }{28 C_{3} }$

$P(E) = \frac{12 C_{3} }{28 C_{3} } = \frac{220}{3276}$

P(E) = 0.067 = 6.71%

Final answer:-

The probability that all are male of choosing '3' students

P(E) = 0.067 = 6.71%

3 0

3 years ago

Solve for x: 3x+2y=7

iVinArrow [24]

$3x+2y=7\ \ \ |subract\ 2y\ from\ both\ sides\\\\3x=7-2y\ \ \ |divide\ both\ sides\ by\ 3\\\\\boxed{x=\dfrac{7-2y}{3}}$

8 0

2 years ago

-5x-12>6x-4 Solve the inequality and give the answer in interval notation.

lora16 [44]

-5x-12>6x-4

To Solve the inequality we need to get x alone

-5x-12>6x-4

first we remove -12, for that we add 12 on both sides

-5x-12+12>6x-4+12

-5x > 6x +8

Now subtract 6x from both sides

-5x -6x> 6x-6x +8

-11x > 8

Divide by -11. when we divide by -11 we flip the inequality . so > becomes <

$x < -\frac{8}{11}$

We need to give the answer in interval notation.

x is less than -8/11 so x value starts from -8/1 and goes to -infinity(left)

So interval notation is (-∞, $-\frac{8}{11}$ )

7 0

2 years ago

What is the slope between points (4, 6) and (-2, 6).

olchik [2.2K]

I believe the answer is 0

6 0

2 years ago