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MArishka [77]
3 years ago
13

PLEASEEE HELP THIS IS DUE TMORROW

Mathematics
1 answer:
Julli [10]3 years ago
8 0

Answer:

4 units

Step-by-step explanation:

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Consolidated Power, a large electric power utility, has just built a modern nuclear power plant. This plant discharges waste wat
Gemiola [76]

Answer:

We conclude that the plant should shut down.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 60

Sample mean, \bar{x} = 61.498

Sample size, n = 100

Alpha, α = 0.05

Population standard deviation, σ = 6

a) First, we design the null and the alternate hypothesis  such that the power plant will be shut down when the null hypothesis is rejected.

H_{0}: \mu \leq 60\\H_A: \mu > 60

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

b) Formula:

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

Putting all the values, we have

z_{stat} = \displaystyle\frac{61.498 - 60}{\frac{6}{\sqrt{100}} } = 2.49

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

Since,  

z_{stat} > z_{critical}

We reject the null hypothesis and accept the alternate hypothesis. Thus, the temperature of waste water discharged is greater than 60°F. We conclude that the power plant will shut down.

Calculating the p-value from the z-table:

P-value = 0.0063

Since,

P-value < Significance level

We reject the null hypothesis and accept the alternate hypothesis. Thus, the temperature of waste water discharged is greater than 60°F. We conclude that the power plant will shut down.

7 0
4 years ago
Bob took his family out to lunch. He bought 3 hot dogs and 2 hamburgers for $11. If the guy in front of him bought 2 hot dogs an
Dafna11 [192]

Answer:

Hotdog: $1.50

Hamburger: $3.25

Step-by-step explanation:

<em>You write down the 2 equations based off of the information as I did:</em>

Let x = cost of a hotdog

Let y = cost of a hamburger

<em>and so:</em>

<em />

3x + 2y = 11

2x + 4y = 16

<em />

<em>Now, we need to find x and y:</em>

<em>We will make both equations equal to y to compare them to each other.</em>

2y = 11 - 3x

y = 5.5 - 1.5x

4y = 16 - 2x

y = 4 - 0.5x

4 - 0.5x = 5.5 - 1.5x

x = $1.5

<em>Now plugging in x into the equation:</em>

2(1.5) + 4y = 16

3 + 4y = 16

4y = 13

y = $3.25

And so hotdog = $1.5 and hamburger = $3.25

<em />

<em />

6 0
3 years ago
8+(3+4) rewrite using the associative property
Goshia [24]
The Associative Property allows you to "regroup" addition and multiplication problems. You can group this problem in two other ways,
(8 + 4) + 3 and (8 + 3) + 4.
8 0
4 years ago
Read 2 more answers
Jack had 3 bags of golf balls with b balls in each bag; then his friend gave him 6 more golf balls. How many golf balls does Jac
earnstyle [38]
Answer= (3 x b)+6

Because you multiply to find the total of the golf balls. Then you'll have to add 6.

Hopefully this helped!
3 0
3 years ago
Read 2 more answers
What is the perimeter of a square whose diagonal is 3 square root 2? Show all work on how you got your answer
Alika [10]

Answer:

12

Step-by-step explanation:

Given: Diagonal of square= 3\sqrt{2}

To find the perimeter of square, we need to find the length of sides of square.

∴ Using the formula of diagonal to find side of square.

Formula; Diagonal= s\sqrt{2}

Where, s is side of square.

⇒ 3\sqrt{2} = s\sqrt{2}

Dividing both side by √2

⇒s= \frac{3\sqrt{2} }{\sqrt{2} }

∴s= 3

Hence, Length of side of square is 3.

Now, finding the perimeter of square.

Formula; Perimeter= 4s

⇒Perimeter= 4\times 3

∴ Perimeter= 12

Hence, Perimeter of square is 12.

6 0
4 years ago
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