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3 years ago

Solve -8x + 4 ≤ 36A. x ≥ -4B. x ≤ 4C. x ≥ 4D. x ≤ -4

1 answer:

7 0

- 8x + 4 ≤ 36
Subtract 4 from both sides.
-8x ≤ 32
Divide both sides by -8. When dividing by a negative number change the
x ≥ - 4 inequality sign.
Letter A

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Shkiper50 [21]

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3 years ago

Question 16 of 50

saul85 [17]

Equation:

y=6,000(1.05)^5

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2 years ago

More, less or equal to: <br> Absolute 4 or Absolute 1

Sloan [31]

|4| > |1|

Absolute value of 4 is just 4, and the abosulute valvue of 1 is just 1.

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3 years ago

Last year, 50% of MNM. Inc. employees were female. It is believed that there has been a reduction in the percentage of females i

Serhud [2]

Answer:

We conclude that there has been a significant reduction in the proportion of females.

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 400

p = 50% = 0.5

Alpha, α = 0.05

Number of women, x = 118

First, we design the null and the alternate hypothesis

$H_{0}: p = 0.50\\H_A: p < 0.50$

This is a one-tailed test.

Formula:

$\hat{p} = \dfrac{x}{n} = \dfrac{118}{400} = 0.45$

$z = \dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}$

Putting the values, we get,

$z = \displaystyle\frac{0.45-0.50}{\sqrt{\frac{0.50(1-0.50)}{400}}} = -2$

Now, we calculate the critical value.

Now, $z_{critical} \text{ at 0.05 level of significance } = -1.645$

Since the calculated z-statistic is less than the critical value, we fail to accept the null hypothesis and reject it. We accept the alternate hypothesis.

Thus, there has been a significant reduction in the proportion of females.

3 0

3 years ago

The sum of two.number is.24. the.sun.of the square.of the two.nunber is 306. what is the product.of the two.number

tresset_1 [31]

A) x + y = 24
B) x^2 + y^2 = 306

A) x = 24 -y
Then substituting this into B)
(24 - y)^2 +y^2 = 306
576 -48y +y^2 + y^2 = 306
2 y^2 -48y + 270 = 0
x1 = 15
x2 = 9

3 0

3 years ago