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Ber [7]
2 years ago
13

when building a house, the number of days required to build is inversely proportional to with the number of workers. One house w

as built in 124 days by 7 workers. How many days would it take to build a similar house with 28 workers. URGENT!! I WILL CROWN YOU FOR TOP ANSWER!!
Mathematics
1 answer:
shusha [124]2 years ago
3 0
Use inverse proportion ratio: xy=k

(124)(7)=k
k=868 (this is our constant)

now substitute the constant into the inverse proportion ratio knowing the number of workers

28x=868

solve for x by dividing both sides by 28 to find the time it takes to build the house

x=31 days

so it will take 31 days for 28 workers to build the house
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A credit card company decides to study the frequency with which its cardholders charge for items from a certain change of retail
gregori [183]

Answer:

15.87% of the total number of cardholder would be expected to be charging 27 or more in the study.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Mean of 25 charged purchases and a standard distribution of 2

This means that \mu = 25, \sigma = 2

Proportion above 27

1 subtracted by the pvalue of Z when X = 27. So

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

Z = \frac{27 - 25}{2}

Z = 1

Z = 1 has a pvalue of 0.8413

1 - 0.8413 = 0.1587

Out of the total number of cardholders about how many would you expect are charging 27 or more in the study?

0.1587*100% = 15.87%

15.87% of the total number of cardholder would be expected to be charging 27 or more in the study.

6 0
2 years ago
What is the area of a shape with points a 5 -8 b 11, -8 c 11,0 d 6,-3 e 4,-3
Dmitriy789 [7]

Answer:

Area of the given figure is 51.5 square units.

Step-by-step explanation:

Area of rectangle OCBH = Length × width

                                         = 11 × 8

                                         = 88 square units

Area of trapezoid OGEF = \frac{1}{2}(b_1+b_2)\times h

                                         = \frac{1}{2}(\text{GE+OF)}\times (\text{OG})

                                         = \frac{1}{2}(3+6)\times 4

                                         = 18 units²

Area of trapezoid GCDE = \frac{1}{2}(\text{GC+DE)}\times (\text{GE})

                                         = \frac{1}{2}(7+2)\times 3

                                         = 13.5 units²

Area of triangle AFH = \frac{1}{2}(\text{Base})\times (\text{Height})

                                  = \frac{1}{2}(5)(2)

                                  = 5 units²

Area of polygon ABCDEF = Area of rectangle CBHO - (Area of trapezoid OGEF + Area of trapezoid GCDE + Area of triangle AFH)

                                           = 88 - (18 + 13.5 + 5)

                                           = 88 - 36.5

                                           = 51.5 units²

Therefore, area of the given polygon is 51.5 units²

3 0
3 years ago
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