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Step2247 [10]
3 years ago
7

PLEASE PLEASE PLEASE HELP 40 POINTS AND BRAINLIEST

Mathematics
1 answer:
galben [10]3 years ago
4 0

Answer:

1/6 (=0.1667)

Step-by-step explanation:

If we look just at weeks 2, 3 and 4:

Week 2: 40 regular + 6 overtime

Week 3: 40 regular + 10 overtime

Week 4: 40 regular + 4 overtime

Total number of regular hours = 40 + 40 + 40 = 120

Total number of overtime hours = 6 + 10 + 4 = 20

number of overtime hours as a fraction of number of regular hours

= number of overtime hours / number of regular hours

= 20 / 120   (simplify by dividing numerator and denominator by 20)

= 1/6 (=0.1667)

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Calibrating a scale:
lana66690 [7]

Answer:

We conclude that the calibration point is set too high.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ =  1000 grams

Sample mean, \bar{x} =  1001.1 grams

Sample size, n = 50

Alpha, α = 0.05

Population standard deviation, σ = 2.8 grams

First, we design the null and the alternate hypothesis

H_{0}: \mu = 1000\text{ grams}\\H_A: \mu > 1000\text{ grams}

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

Formula:

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

Putting all the values, we have

z_{stat} = \displaystyle\frac{ 1001.1 - 1000}{\frac{2.8}{\sqrt{50}} } = 2.778

Now, z_{critical} \text{ at 0.01 level of significance } = 2.326

Since,  

z_{stat} > z_{critical}

We reject the null hypothesis and accept the alternate hypothesis. We accept the alternate hypothesis. We conclude that the calibration point is set too high.

6 0
3 years ago
Oleta has five times as many pennies as quarters. Altogether she has $1.80 how many of each coin does she have
Vaselesa [24]
She has 45 pennies and 9 quarters


5:1

P:Q

0.01:0.15

0.05:0.15 0.1:0.3 0.15:0.45 0.2:0.6 0.25:0.75 0.3:0.9 0.35:1.05 0.4:1.2
0.45:1.35

8 0
3 years ago
Help me pls! PLS PLS PLS I NEED IT<br><br>20 points<br>options are x, x^9, x^4, and x^6
marishachu [46]

Answer:

x^4

Step-by-step explanation:

The expression can be simplified to (x^2)^2. Using an exponent rule, you multiply the two exponents together to get 4. The answer is x^4

5 0
2 years ago
Please answer fast, I need great answers!!!!! This is mathematics.
Fantom [35]
20, 25, 30, 30, 31, 40, 41, 49
median = 30.5

lower IQR = 27.5
upper IQR = 40.5

Range IQR = 40.5 - 27.5 = 13

answer is 13
7 0
2 years ago
Pam bought a pair of shoes on sale for $22.40. If this was 20%. Off the original price, find the original price of the shoes
Rus_ich [418]

Answer:

26.88

Step-by-step explanation:

20%*22.40=4.48

22.40+4.48=26.88

3 0
1 year ago
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