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3 years ago

Part A: Solve P = 4a for a. Show your work. (4 points) Part B: Solve 3c − 5f = 55 for f. Show your work. (6 points)

1 answer:

5 0

Since we have two unknowns in both equations, the solution will still consists the known.
For the part A
P=4a,
Dividing both sides by 4,
P/4 =a
Therefore, a = P/4

Part B:
3c - 5f = 55
Add 5f on both sides of the equation,
3c-5f+5f=55+5f
3c=55+5f
Now subtract 55 on both sides
5f = 3c - 55
Divide both side of the equation by 5 to get f,
5f/5 = (3c-55)/5
f = (3/5)c - 11

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A sample of 47 observations is selected from a normal population. The sample mean is 30, and the population standard deviation i

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Answer:

We accept the null hypothesis and reject the alternate hypothesis. There is no evidence to conclude that the population mean is greater than 29. The population mean is less than or equal to 29.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 29

Sample mean, $\bar{x}$ = 30

Sample size, n = 47

Alpha, α = 0.05

Population standard deviation, σ = 5

First, we design the null and the alternate hypothesis

$H_{0}: \mu \leq 29\\H_A: \mu > 29$

a) This is a one-tailed test because the alternate hypothesis is in greater than direction.

We use One-tailed z test to perform this hypothesis.

b) $z_{stat} > z_{critical}$ , we reject the null hypothesis and accept the alternate hypothesis and if $z_{stat} < z_{critical}$ , we accept the null hypothesis and reject the alternate hypothesis.

c) Formula:

$z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

Putting all the values, we have

$z_{stat} = \displaystyle\frac{30 - 29}{\frac{5}{\sqrt{47}} } = 1.37$

d) Now, $z_{critical} \text{ at 0.05 level of significance } = 1.64$

Since,

$z_{stat} < z_{critical}$

We accept the null hypothesis and reject the alternate hypothesis. There is no evidence to conclude that the population mean is greater than 29. The population mean is less than or equal to 29.

e) P-value is 0.0853

On the basis of p value we again accept the null hypothesis.

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3 years ago

Braiist can someome pls explain i dont know

Greeley [361]

Answer:

Step-by-step explanation:

Using the rule of exponents

$\frac{a^{m} }{a^{n} }$ = $a^{m-n}$

Consider the left side

$\frac{n^{x} }{n^{y} }$ = $n^{x-y}$ , then

$n^{x-y}$ = n²

Since bases on both sides are equal, equate the exponents

x - y = 2 → G

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2 years ago

frank rented a truck for one day. There was a base fee of 14.95, and there was an additional charge of 78 cents for each mile dr

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Answer : 153 miles

Explanation : first take 134.29 & subtract the 14.95 base fee which give you 119.34 . now divide 119.34 by 78 which gives you 1.53. so he drove 153 miles.
equation : 14.95+ 0.78x = 134.29 . to double check just multiply 153 x 0.78 and add $14.95 which gives us the total of $134.29

7 0

1 year ago

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