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3 years ago

It takes Ms. Campbell 5 times as long as it takes Ms. Dorsey to paint a room. If Ms. Dorsey

Mathematics

1 answer:

Aliun [14]3 years ago

7 0

Answer:

Dorsey = 4.8 hours

Campbell = 24 hours

Step-by-step explanation:

It takes "x" hours for Dorsey

So, it will take 5 times more for Campbell, so

It takes "5x" hours for Campbell

Rate is inverse of time, so rates are:

Dorsey: 1/x

Campbell: 1/5x

We know Rate * Time = Work

When together, it takes 4 hours to finish a work, so we can write:

$(\frac{1}{x}+\frac{1}{5x})4=1$

Solving for x, we get the time of Dorsey:

$(\frac{1}{x}+\frac{1}{5x})4=1\\(\frac{1}{x}+\frac{1}{5x})=\frac{1}{4}\\\frac{5+1}{5x}=\frac{1}{4}\\\frac{6}{5x}=\frac{1}{4}\\5x=24\\x=4.8$

Dorsey takes 4.8 hours alone

Campbell takes 4.8 * 5 = 24 hours alone

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A) complete the table (use 4 decimal places when applicable)

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Answer:

Step-by-step explanation:

(A).

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0 51 0.2429 51

1 37 0.1762 51 + 37 = 88

2 34 0.1619 122

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(B).

Percent of people having exactly one sibling = $\frac{\text{Frequency}}{\text{Total frequency}}\times 100$

= $\frac{37}{210}\times 100$

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3 years ago

Make a conditional relative frequency table for The Columns of movie type. Determine which statement has the strongest associati

Vikentia [17]

Answer: Option A.

Step-by-step explanation:

The association can be found as the quotient between the elements with a given characteristic and the total number of elements.

For example, in option A we have:

A. Females prefer drama movies.

There are 72 females who like drama movies, and there is a total of 126 females, the quotient is:

Q = 72/126 = 0.57

This is the relative frequency of females who like's drama movies

Then the relative frequency table will be something like:

Males:

who prefer comedy: Q = 45/125 = 0.36

who prefer drama: Q = 15/125 = 0.12

who prefer thriller: Q = 65/125 = 0.52

Females:

who prefer comedy: Q = 36/126 = 0.29

who prefer drama: Q = 72/126 = 0.57

who prefer thriller: Q = 18/125 = 0.14

Now we want to answer, which one of the given options has the strongest association.

As larger is the value Q, larger is the association.

We can clearly see that, from the given options, the strongest association is for females who prefer drama, then the correct option is A.

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3 years ago

What are the coordinates of the midpoint of the line segment with the endpoints (2,-5) and (8,3)

Papessa [141]

Midpoint Formula: $(\frac{x_2+x_1}{2} ,\frac{y_2+y_1}{2} )$

Plug the coordinates into the midpoint formula and solve as such:

$(\frac{2+8}{2} ,\frac{-5+3}{2} )\\\\(\frac{10}{2} ,\frac{-2}{2} )\\\\(5,-1)$

<u>Your midpoint is (5,-1).</u>

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3 years ago

The area of a circle whose radius is 2.1m²is 13.85m²<br><br>

Slav-nsk [51]

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3 years ago

What is the probability that more than twelve loads occur during a 4-year period? (Round your answer to three decimal places.)

Nataly_w [17]

Answer:

Given that an article suggests

that a Poisson process can be used to represent the occurrence of

structural loads over time. Suppose the mean time between occurrences of

loads is 0.4 year. a). How many loads can be expected to occur during a 4-year period? b). What is the probability that more than 11 loads occur during a

4-year period? c). How long must a time period be so that the probability of no loads

occurring during that period is at most 0.3?Part A:The number of loads that can be expected to occur during a 4-year period is given by:Part B:The expected value of the number of loads to occur during the 4-year period is 10 loads.This means that the mean is 10.The probability of a poisson distribution is given by where: k = 0, 1, 2, . . ., 11 and λ = 10.The probability that more than 11 loads occur during a

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occurring during that period is at most 0.3 is given by: 3.3 years

Step-by-step explanation:

8 0

4 years ago