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lbvjy [14]
2 years ago
9

The average cost of an IRS Form 1040 tax filing at Thetis Tax Service is $138.00. Assuming a normal distribution, if 77 percent

of the filings cost less than $155.00, what is the standard deviation? Hint: Use Excel or Appendix C-2 to find the z-score. (Round your answer to 2 decimal places.) Standard deviation $
Mathematics
1 answer:
jek_recluse [69]2 years ago
8 0

Answer:

22.97

Step-by-step explanation:

Given that the average cost of an IRS Form 1040 tax filing at Thetis Tax Service is $138.00.

Let x be the average cost an IRS Form 1040 tax filing at Thetis Tax Service

P(X is given

From std normal distribution table we find 77th percentile z value.

z=0.74

Corresponding X value = 155

i.e. 0.74=\frac{155-138}{s} where s is the std deviation

Simplify to get

Std deviation  = \frac{17}{0.74} \\=22.97

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The tree is 25 feet tall. Given the height of the stick and the shadow it cast, the angle formed by the sun and the stick's height can be obtained by taking the Inverse Tangent of 3/5. This is equal to 30.93. This angle is equal to the angle formed by the sun and the tree's height. Using the tangent formula, Tan (30.93)=tree's shadow (15 ft)/ height of the tree, giving the answer 25 feet.
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3 years ago
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Andy says she splits her time on her homework as follows: 45 percent on math, 20 percent on science, 18 percent on social studie
vlabodo [156]

Answer:

45 hours on math, 20 on science, 18 on soc st, and 17 on la

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percents are how many out of one hundred

8 0
3 years ago
What is the slope of the line?<br> y=-5x-9<br> slope=_______
Lady_Fox [76]
-5x

The basic formula for slope of a line is
y = mx + b
where m is the coefficient of x and the slope.

Your equation is already in the right formula. The number there is -5x as your slope. Good luck!
8 0
3 years ago
The following are the number of sales which a sample of 9 car salespeople of an insurance company in Florida and a sample of 8 s
Montano1993 [528]

Answer:

There is no difference in the number of sales between The Florida salespeople and Washington salespeople

Sp^2 = 39

Step-by-step explanation:

Given data :

Florida: 39, 44, 42, 50, 55, 48, 51, 38, 54

Washington: 42, 43, 56, 50, 49, 52, 53, 56

number of sales persons in Florida = 9

number of sales persons in Washington = 8

variance = constant

a)Determine if there is difference between the Florida salespeople and Washington salespeople

we will carry out a two tailed test based on the given data

H0 : u1 = u2  

H1 : u1 ≠ u2

x ( mean ) = 46.77,  y ( mean ) = 50.13 ,

s1^2 = 39.69,  s2^2 = 28.41,   n1 = 9 ,   n2 = 8

therefore :

Sp^2 = \frac{n1s1^2 + n2s2^2}{n1 + n2-2} =  38.96  ≈ 39

performing test statistic

t = \frac{x- y }{sp\sqrt{\frac{1}{n1} +\frac{1}{n2} } }    = \frac{-3.36}{3.0330} = -1.1078

critical value is at t = 0.05 and for a two tailed test it is at 2.13  therefore e accept H0 at 5% .    This shows that there is no difference in sales

5 0
2 years ago
Write the equation of the line given the slope and a point through the line passes
Anuta_ua [19.1K]

Answer:

1.) Y = 5/3 X + 4

2.) Y = 9/4 X - 27/4

Step-by-step explanation:

Given the slope and the coordinate, linear equation of a line can be expressed by using general linear equation. Which is

Y = MX + C

Where the

Slope M = 5/3

Coordinate = (-3,-1) in which

X = -3, Y = -1

Substitute X, Y and M into the general linear equation to achieve C

-1 = 5/3(-3) + C

-1 = - 5 + C

C = 5 - 1

C = 4

Substitute C and M back into the general linear equation.

Therefore, the equation of the line given the slope and a point through the line passes 5/3, and (-3,-1) to be

Y = 5/3 X + 4

2.) Also,

Slope M = 9/4

Coordinate = (3,0) where X = 3, Y = 0

Substitute X, Y and M into the general linear equation to obtain C

0 = 9/4 (3) + C

C = - 27/4

Substitutes C and M back into the general linear equation

Therefore, the equation of the line given the slope and a point through the line passes 9/4 and (3,0)

Y = 9/4 X - 27/4

4 0
2 years ago
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