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lukranit [14]
2 years ago
10

If 20% of all manually filed returns contain errors, and 0.05% of all electronically filed returns contain errors, how much more

likely is a manual filer to make an error than an electronic filer?
a.
40,000 times more likely
b.
4,000 times more likely
c.
400 times more likely
d.
40 times more likely
Mathematics
1 answer:
Marizza181 [45]2 years ago
4 0
To get the correct answer to this question, you just need to divide 20% by 0.05% in order to get the answer, how many times a manual filer is more likely to make an error than an electronic file. 
20: 0.05 = 400
The answer is C. 400 times more likely.
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Jace has consumed 1,500 calories so far today. He has also burned off 400 calories at the gym. He would like to keep his daily c
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Answer:

C

Step-by-step explanation:

Consumed = 1500

Burned = 400

Calorie Count total = 1500 - 400 = 1100

His target is 1900, so he will need 1900 - 1100 = 800 calories to consume more

So, 1100 is NOT a viable solution because he will go over 1900 if that happens. Hence, C is the correct choice.

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2 years ago
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a contractor needs to purchase 500 bricks. the dimensions of each brick are 5.1 cm by 10.2 by 20.3 cm, and the density of each b
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No, the trailer cannot hold the weight of the bricks. It is beyond the 900kg capacity of the trailer. The total weight of the bricks is 1,013.77 kilograms. The total weight was derived from getting the volume of the brick (0.051m x 0.102m x 0.203m), then multiplying the volume to the density of each brick (1.056 x 10^3m^3 x 1920kg/m^3). The weight of each brick is 2.03kg. Lastly, multiply the total number of bricks to the weight of each brick to get the total weight.
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2 years ago
Two major automobile manufacturers have produced compact cars with engines of the same size. We are interested in determining wh
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Answer:

Step-by-step explanation:

Corresponding fuel efficiencies of manufacturer A's car and manufacturer B's car form matched pairs.

The data for the test are the differences between the efficiencies of manufacturer A's car and manufacturer B's car

μd = fuel efficiency of manufacturer A's car minus the​ fuel efficiency of manufacturer B's car.

A B diff

32 28 4

27 22 5

26 27 - 1

26 24 2

25 24 1

29 25 4

31 28 3

25 27 - 2

Sample mean, xd

= (4 + 5 - 1 + 2 + 1 + 4 + 3 - 2)/8 = 2

xd = 2

Standard deviation = √(summation(x - mean)²/n

n = 8

Summation(x - mean)² = (4 - 2)^2 + (5 - 2)^2 + (- 1 - 2)^2 + (2 - 2)^2 + (1 - 2)^2 + (4 - 2)^2 + (3 - 2)^2 + (- 2 - 2)^2 = 44

Standard deviation = √(44/8

sd = 2.35

For the null hypothesis

H0: μd = 0

For the alternative hypothesis

H1: μd ≠ 0

This is a two tailed test and the distribution is a students t. Therefore, degree of freedom, df = n - 1 = 8 - 1 = 7

2) The formula for determining the test statistic is

t = (xd - μd)/(sd/√n)

t = (2 - 0)/(2.35/√8)

t = 2.41

We would determine the probability value by using the t test calculator.

p = 0.047

Since alpha, 0.1 > the p value 0.047, then we would reject the null hypothesis. Therefore, at 1% significance level, we can conclude that there is a significant difference in the mean MPG (miles per gallon) when testing for the fuel efficiency of these two brands of automobiles.

6 0
2 years ago
Caitlin is designing a railing for a set of stairs. The railing will begin at a height of 36 inches and follow the slant of the
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Answer:

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Step-by-step explanation:

Givens

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The initial condition of the function is 36, which is a constant. Also, the slant is negative, because the problem states that "decreases".

If we see the problem form the perspective of a linear function, the constant ratio of change would be the slant.

Therefore, the linear function that models this problem is

y=-\frac{3}{4}x+36

So, the answer is the first choice.

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Product means multiplication.

Given w= weight of a trout.

So, we need to convert "product of 16 and weight of trout: w " into an algebraic expression.

So, product of 16 and w can be written as 16*w or simply 16w.

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