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STALIN [3.7K]
2 years ago
8

A factory worker can produce 28 toys in an eight hour day If there are 42 workers in total how many toys are produced every hour

​
Mathematics
1 answer:
katrin2010 [14]2 years ago
3 0

Answer:

<em>147 toys</em>

Step-by-step explanation:

<em>for 1 person, 28toys/8hours = 3.5toys/ 1hour </em>

<em>for 42 people, 42 * 3.5toys/ 1hour = 147 toys/hour</em>

<em></em>

<em>~Hope it Helps!~</em>

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At a Psychology final exam, the scores are normally distributed with a mean 73 points and a standard deviation of 10.6 points. T
USPshnik [31]

Answer:

The score that separates the lower 5% of the class from the rest of the class is 55.6.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question:

\mu = 73, \sigma = 10.6

Find the score that separates the lower 5% of the class from the rest of the class.

This score is the 5th percentile, which is X when Z has a pvalue of 0.05. So it is X when Z = -1.645.

Z = \frac{X - \mu}{\sigma}

-1.645 = \frac{X - 73}{10.6}

X - 73 = -1.645*10.6

X = 55.6

The score that separates the lower 5% of the class from the rest of the class is 55.6.

3 0
2 years ago
In 2010, a city's population was 1,405,233 and it was decreasing at a rate of 1.1%. At this rate when will the city's population
frez [133]
The equation
                                            P(t) = 1405233 * (1 - 0.011)^(t)
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                                  (0.989)^t = 1200000/1405233
                                                t = log(1200000/1405233)/log(0.989)
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This means 14.27 years after 2010. Therefore, the answer to this question is 2024.
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2 years ago
Adam plans to choose a video game from a section of the store where everything is 75 % off . He writes the expression d - 0.75d
masha68 [24]

Answer:

Adam is taking the original price minus 75% of the original price, while Rena is taking the original price times 25% which is what you would be paying. Both are correct but Renas is more efficient.

Step-by-step explanation:


3 0
2 years ago
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3. Blackberry is also in the business of selling phones. The data for the profit that Blackberry makes on selling tablets is rep
vesna_86 [32]

Here is my answer. I left the latter question in a. as I don't actually know the answer. Anyway, I hope this is helpful although not complete.

8 0
2 years ago
At noon (12:00), Annette rented a bicycle to travel around Stanley Park. She returned the bicycle at 4:00 pm (16:00) the same da
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Answer:

a. average speed is 12km/hr

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Step-by-step explanation:

a. 48km/4hrs = 12km/hr

b. $22/4hrs = $5.50/hr

c. $22/48km = $0.45833/km rounded to $0.46/km

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