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andriy [413]
2 years ago
13

If rolando earned $28.50 in 2 hours, how much would he earn in 8 hours?

Mathematics
1 answer:
cricket20 [7]2 years ago
5 0

First, we need to find his unit rate, the amount he earns in 1 hour.

So, we have to divide 28.50 by 2.

That is:

28.50 / 2 = $14.25 per hour

To find the amount he earns in 8 hours, we will need to multiply hourly rate found by "8". So,

14.25 * 8 = $114

<h2>Rolando earns $114 in 8 hours</h2>

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The value of a professional basketball player's autograph rose 20% in the last year. It is now worth $288.00. What was it worth
Murrr4er [49]

Answer:

$230.4isbthe value worth last year

5 0
3 years ago
A confidence interval (CI) is desired for the true average stray-load loss u (watts) for a certain type of induction motor when
Genrish500 [490]

Answer:

A) CI = (57.12 , 59.48)

B) CI = (57.71 , 58.89)

C) CI = (57.53 , 59.07)

D) n = 239.63

Step-by-step explanation:

a)

given data:

mean, \bar X = 58.3

standard deviation, σ = 3

sample size, n = 25Given CI level is 95%, hence α = 1 - 0.95 = 0.05

α/2 = 0.05/2 = 0.025,

Zc = Z(α/2) = 1.96

ME = Zc * σ \sqrt{n}

ME = 1.96 * 3 \sqrt{25}

ME = 1.18

CI = (\bar X - Zc * s\sqrt{n}  , \barX + Zc * s\sqrt{n})

CI = (58.3 - 1.96 * 3\sqrt{25} , 58.3 + 1.96 * 3\sqrt{25})

CI = (57.12 , 59.48)

b)

Given data:

mean, \bar X = 58.3

standard deviation, σ = 3

sample size, n = 100

Given CI level is 95%, hence α = 1 - 0.95 = 0.05

α/2 = 0.05/2 = 0.025, Zc = Z(α/2) = 1.96

ME = zc * σ \sqrt{n}

ME = 1.96 * 3\sqrt{100}

ME = 0.59

CI = (\bar X - Zc * s\sqrt{n}  , \barX + Zc * s\sqrt{n})

CI = (58.3 - 1.96 * 3\sqrt{100} , 58.3 + 1.96 * 3\sqrt{100})

CI = (57.71 , 58.89)

c)

sample mean, \bar X = 58.3

sample standard deviation, σ = 3

sample size, n = 100

Given CI level is 99%, hence α = 1 - 0.99 = 0.01

α/2 = 0.01/2 = 0.005, Zc = Z(α/2) = 2.58

ME = Zc * σ \sqrt{n}

ME = 2.58 * 3\sqrt{100}

ME = 0.77

CI = (\bar X - Zc * s\sqrt{n}  , \barX + Zc * s\sqrt{n})

CI = (58.3 - 2.58 * 3\sqrt{100} , 58.3 + 2.58 * 3/\sqrt{100}

CI = (57.53 , 59.07)

D)

Given data:

Significance Level, α = 0.01,

Margin or Error, E = 0.5,

σ = 3

The critical value for α = 0.01 is 2.58.

for calculating population mean we used

n \geq (zc *σ/E)^2

n = (2.58 * 3/0.5)^2

n = 239.63

7 0
3 years ago
A group of friends wants to go to the amusement park. They have no more than $275 to spend on parking and admission. Parking is
Evgesh-ka [11]

Answer:

275=27x+5

Step-by-step explanation:

10 people can go to the park

27(10)+5=275

4 0
3 years ago
How do you simplify 2i&lt;6u
Solnce55 [7]
Divide both sides by 2
i<3u
4 0
3 years ago
STUDENT HOURS KATY 5.5
mario62 [17]
The best answer to go with is b
4 0
3 years ago
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