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4 years ago

Solve 5(8x-1)-x=2x+32 . solve step by step and explain each step please!!!!

Mathematics

1 answer:

alina1380 [7]4 years ago

8 0

First, distribute the 5 into the 8x-1 (5 times 8x, 5 times -1)

40x - 5 - x = 2x + 32

Subtract the x

39x - 5 = 2x + 32

Switch the sides for -5 (it will become positive and add to the 32)

39x = 2x + 37

Switch sides for the 2x (it will become negative and subtract from the 39x)

37x = 37

Divide both sides by 37

x = 1

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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

Calculate a central angle in degree intercepting an arc of length 7 pi/2 cm in a circle with radius 77cm.

sineoko [7]

The arc length of the circle exists 846.65922 cm.

<h3>How to estimate the central angle in degree? </h3>

A unit circle by definition contains a radius of 1 unit.

We have to estimate the length of the arc subtended by an angle of $7\pi/2$ radians.

arc length = radius $*$ angle

s = r $$ * \theta$

Where s be the arc length

r be the radius of the circle

$\theta$ be the angle measured in radians

arc length = 77cm $$*7\pi/2$

arc length = 77 $*$ 7(3.14) / 2

arc length = 846.65922 cm

Therefore, the arc length of the circle exists 846.65922 cm.

To learn more about arc length refer to:

brainly.com/question/2005046

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2 years ago

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skad [1K]

Answer:

1,3,7,13,21,31,43,57

Step-by-step explanation:

It s increasing by two each time.

1+2=3

3+4=7

7+6=13

etc.

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3 years ago

24 less than 3 times the number itself is equals to a number.what is the number?

11Alexandr11 [23.1K]

Answer:

here you go the answer

Step-by-step explanation:

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3 years ago

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hammer [34]

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4 years ago