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3 years ago

Solve the equation (5×+7)1/5=(8-6×)1/5

1 answer:

5 0

(5x+7)(1/5)=(8−6x)(1/5)
Simplify both sides. In order to do this you need to distribute 1/5 in each expression.
(5x)(1/5)+(7)(1/5)=(8)(1/5)+(−6x)(1/5)
x+7/5=8/5+−6/5x
x+7/5=−6/5x+8/5
Now you need to add (-6/5)x to both sides. This leaves you with
(5/11)x+7/5=8/5
Now subtract 7/5 from both sides.
(5/11)x=1/5
Divide both sides by 5/11
x=1/11

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LUCKY_DIMON [66]

Answer:

Yes. (see below)

Step-by-step explanation:

First, find the slope of the line. You can do that by using the slope formula:

y2 - y1

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Now, choose any two points from the line to plug in. I'm using the points (0, 3) and (2, 4).

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Now, to simplify your situation, you can use the slope-intercept formula. To use this, you first need to find the slope and y-intercept.

The y-intercept is where the line meets the y-axis, which is (0, 3), so the y-intercept is 3.

Now, plug them in:

y = mx + b

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To see if a specific point is on this line—which, in this case, is (20, 13), plug them in and simplify to see if it's true:

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3 years ago

Find the median of the following set of data. 23, 50, 49, 48, 49, 32, 37, 40, 41, 42, 41, 41, 43

Vladimir79 [104]

Answer:

Step-by-step explanation:

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3 years ago

A facilities manager at a university reads in a research report that the mean amount of time spent in the shower by an adult is

Zolol [24]

Answer:

A) Null Hypothesis;H0: μ = 5

Alternative Hypothesis;Ha: μ ≠ 5

B) test statistic = -2.1226

C) p-value = 0.0598

D) Option A is correct

Step-by-step explanation:

We are given;

x = 4.52 minutes

s = 0.75 minutes

μ = 5 minutes

n = 11

degree of freedom = n - 1 = 11 - 1 = 10

A) The hypotheses are;

Null Hypothesis;H0: μ = 5

Alternative Hypothesis;Ha: μ ≠ 5

B) t-statistic = (x - μ)/(s/√n)

(4.52 - 5)/(0.75/√11) = -2.1226

C) From the t-score calculator results attached, the p-value is approximately 0.0598.

D) The P-value of 0.0598 is is greater than the significance level of 0.01, thus we fail to reject the null hypothesis, and we say that the result is statistically nonsignificant. So option A is correct.