Suppose that an Internal Revenue Service (IRS) representative claims that the average tax deduction for medical care is $1,250, and assume that this variable is normally distributed. A taxpayer who believes that the deduction might be less than $1,250 decides to randomly sample 12 families who have an average deduction of $934 with a standard deviation of $616. a. What are the null and alternative hypotheses? b. What is the value of the test statistic, i.e. t-stat, in this example? Show your work. c. What is the p-value associated with this test statistic? (HINT: you have less than 30 observations so you will need to use t-table to obtain critical values.) d. What can you conclude at the 10-percent level of significance? What can you conclude at the 5-percent level of significance? Explain. (HINT: you have less than 30 observations so you will need to use t-table to obtain critical values.)

Answer:

9/27 or 9 to 27

Step-by-step explanation:

Answer:

The price for a 10 pack of erasers would cost $4.09

Step-by-step explanation:

1.47 ÷ 3 = 0.49

0.49 × 10 = 4.9

Answer:

$4.9

Step-by-step explanation:

[ Unitary method]

3 pack of erasers = $1.47

1 pack = $1.47 / 3 = $ 0.49

10 pack = $ 0.49 x 10 = $4.9

(I hope im right!)

Answer:

[tex]x=\frac{20}{3} =6.67[/tex]

Step-by-step explanation:

[tex]x=15*\frac{4}{9}=\frac{20}{3} =6.67[/tex]

Answer:

6 2/3 or 20/3 or 6.6667

Step-by-step explanation:

Since the figures are similar, you can find x through comparing ratios. To get from 9 to 4, multiply 9 by 4/9. To find x, you must then multiply 15 by 4/9.

15 x 4/9 = 6 2/3 or 20/3 or 6.6667

Answer:

Since there are two angles which are equal in the triangle we can make our equation as-

2x+60=180

(180 cuz the sum of all angles in a triangle will ALWAYS be 180)

so if we solve,

2x=120

x=120/2

x=60

thus x=60

Answer

60

Explanation:

So a given shape will always have a degree of 180.

We know one of the degrees is 60, so we can subtract that to find the missing degree angles: 180 - 60 = 120

We can divide 120 by 2 to spilt that into two degrees: 120 ➗ 2 = 60

(If you have math sense, you can tell that they all have the same angle, so same angle means same degree)

Well hope ya have a great day!

Answer:

y = -(5/2)x + 3 is a line perpendicular to y = (2/5)x + 2. This line is also perpendicular to y = (2/5)x + 9 because it has the same slope.

Step-by-step explanation:

A) So the line you are given is written in slope intercept form y = mx + b meaning that the slope of the line is  m = 2/5 and the intercept  b = 9 (so the line hits the y axis at 0,9). A line that is parallel has to have the same  slope so we know our m is the same. So we have y = (2/5)x + b. We need b. It passes (0, 2) since the x coordinate is 0 you know the y intercept is 2 but you can verify this using the point slope formula:

y - y1 = m(x - x1) plug in values

y - 2 = (2/5)(x - 0) now simplify

y - 2 = (2.5)x  last solve

y = (2/5)x + 2 see how when the x coordinate is 0 you can automatically use the point slope intercept formula? Neato!

B) Now we want a line perpendicular to y = (2/5)x + 2 and that passes through 0,3. What are the properties of a line perpendicular to a line of the form y = mx + b and passes through (0, 3)?  We know that the slope of this new line will be the reciprocal and have the opposite sign of m. So the new slope we will call it mnew = -(1/m) so plug in for m and you get mnew = -(1/[2/5]) if you simplify you get that the mnew = -(5/2). So we have half of our equation for the perpendicular: y = -(5/2)x + b. If you look at (0, 3) you see that the y intercept is 3 so b = 3. So:

The equation of the line that passes through given point and is parallel to the line with the given is y = 2x-1

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given that, we need to find the equation of a line passing through the point (3, 5) and is parallel to y = 2x-6,

Comparing the given equation with the general equation of line y = mx+c

m = 2 (the slope)

We know that the two parallel lines have equal slope.

Therefore, the required equation is =

y = 2x+c

To find the value of c, put x = 3 and y = 5,

5 = 2(3) + c

c = -1

Therefore,

The required equation is =

y = 2x-1

Hence, the equation of the line that passes through given point and is parallel to the line with the given is y = 2x-1

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Answer:

Step-by-step explanation:

When you graph the equation, it hits every point as seen below.

Answer:

110 degrees

Step-by-step explanation:

Because these angles are vertical, 5x+15=8x-42. thus, 15=3x-42, 3x=57, and x=19. 5x+15=5(19) +15=110. So, m<CDE=110 degrees.

Answer:

110°

Step-by-step explanation:

Since CDE and FDG are vertical, they are congruent, so:

5x + 15 = 8x - 42

Solve the equation for x

57 = 3x

19 = x

Then solve for one of the angles (I chose CDE but FDG would also work)

5(19)+15

95 + 15

110

Answer:

15 girls

4x3=12 so u multiply 3 on both sides and 5 x 3=15

Answer:

18

Step-by-step explanation:

4a-3=2a

2a=3

a=1.5

12a=1.5*12

12a=18

Answer:

24.5

Step-by-step explanation:

70 • 0.35

24.5

Answer:

36

Step-by-step explanation:

Answer:

5:6.

Step-by-step explanation:

The areas are 2 dimensional and the circumference is one dimensional.

So the ratio of the circumferences is √25:√36

= 5:6.

Answer:

1) 15-4x

2) 3x+2

Step-by-step explanation:

1) product of x and 4 is 4x then subtract that from 15

2) use x as your age in this situation so your age times 3 is 3x and since he's 2 years older than that u add 2 more

Answer:

T<45

Step-by-step explanation:

More than is a greater than symbol

Inequalities help us to compare two unequal expressions. The inequality that can be used to represent the time for which Ryan exercise is t≥35.

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.

It is mostly denoted by the symbol <, >, ≤, and ≥.

Given Ryan exercises no less than 35 minutes per day. The inequality that can be used to represent the time for which Ryan exercise is t≥35.

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Answer:

Please check the explanation.

Step-by-step explanation:

Part 1)

5x + 9y, when x=8, y=11

substituting x=8, y=11 in 5x + 9

5x + 9y = 5(8) + 9(11)

            = 40 + 99

            = 139

Part 2)

a³ –c + b, when a=3, b=6, c=8

substituting a=3, b=6, c=8 in a³ –c + b

a³ –c + b = (3)³ - 8 + 6

               = 27 - 2

               = 25

Part 3)

4(g –h) +10, when g=12, h=7

substituting g=12, h=7 in 4(g –h) +10

4(g –h) +10 = 4(12 - 7) + 10

                  = 4(5) + 10

                  = 20 + 10

                  = 30

Part 4)

k³ –4j +12, when k=8, j=2

substituting k=8, j=2 in k³ –4j +12

k³ –4j +12 = (8)³ - 4(2) + 12

                 = 512 - 8 + 12

                 = 516

Summary:

Answer: d

Step-by-step explanation:

Answer:

59.7 degrees

Step-by-step explanation:

see attached

Answer:

X=0,2

Step-by-step explanation:

Będzie x dla e polecam źle jest xdd

The ∠DCO will be 2·x, 69° is the sum of  ∠DCO and x° is x = 23°

A curving line makes up the form of a circle. It is spherical, and every point along the curving line is equally spaced first from the center. Due to its multiple nature, this form is flat.

Points on the circle is A, B, C, and D

Straight lines  present are AOBE and DCE

Segment CO = Segment CE

∠AOD = 69°

∠CEO = x°

∠OCD = ∠ODC as this is an isosceles triangle

an exterior angle of a triangle can be determined as

69° = ∠x° + ∠ODC

Because of the Angle sum property of a triangle

∠DOC = 180 - 2×∠ODC

Angles added together on a linear fashion are supplementary.

180 - 2×∠ODC + x° + 69° = 180°

x° + 69° - 2×∠ODC = 0

A triangle's exterior angle is equal to the product of its diagonal internal angles

∠ODC = 2·x°

69° = x° + ∠ODC = x° + 2·x° = 3·x°

69° = 3·x°

x = 69° ÷ 3

x = 23°

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Answer:

3 into g into 5 into h

in this we will group the term 3 and 5 together and then the g and h

so the answer will be 3 into 5 into g into h = 15gh

The expression 3 × g × 5 × h is in the simplified form of 15gh.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

It is also known as the product. If the object n is given to m times then we just simply multiply them.

The expression is given below.

⇒ 3 × g × 5 × h

Simplify the expression, then we have

⇒ 3 × g × 5 × h

⇒ 15gh

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Answer:

[tex]\frac{A-2wh}{2(w+h)}=l[/tex]

Step-by-step explanation:

We have to find the formula for the value of 'l'.

So, we will isolate 'l' on one side of the formula.

A = 2lw + 2lh + 2wh

A = 2l(w + h) + 2wh

A - 2wh = 2l(w + h) + 2wh - 2wh

A - 2wh = 2l(w + h)

[tex]\frac{A-2wh}{2(w+h)}=\frac{2l(w+h)}{2(w+h)}[/tex]

[tex]\frac{A-2wh}{2(w+h)}=l[/tex]

Therefore, formula for 'l' will be,

[tex]\frac{A-2wh}{2(w+h)}=l[/tex]

Given:

A taxi service charges AED 10 plus AED 250 per kilometer for a trip to the airport.

The total charge is AED 135.

To find:

How far, in kilometers, is the trip to the airport?

Solution:

Let x km be the trip to the airport.

A taxi service charges AED 10 plus AED 250 per kilometer for a trip to the airport. So, total changes for x km trip is

[tex]T=10+250x[/tex]

The total charge is AED 135.

[tex]10+250x=135[/tex]

[tex]250x=135-10[/tex]

[tex]250x=125[/tex]

Divide both sides by 250.

[tex]x=\dfrac{125}{250}[/tex]

[tex]x=\dfrac{1}{2}[/tex]

[tex]x=0.5[/tex]

Therefore, the trip to the airport is 0.5 km.

Answer:

4x , 2y , 5

Step-by-step explanation:

Answer:

The answer is B

Step-by-step explanation:

The terms are

4x, 2y, 5

Hope that helps

Answer:

The correct answer is "$159 and $175".

Step-by-step explanation:

The give values are:

Mean,

= $167

Standard deviation,

[tex]\sigma[/tex] = $40

Number of commuters,

n = 100

Now,

⇒ [tex]SE=\frac{\sigma}{\sqrt{n} }[/tex]

On putting the given values, we get

⇒       [tex]=\frac{40}{\sqrt{100} }[/tex]

⇒       [tex]=\frac{40}{10}[/tex]

⇒       [tex]=4[/tex]

By using the 2 SE rule of thumb, we get

= [tex]$(167 - 2\times 4)[/tex]

= [tex]167-8[/tex]

= [tex]159[/tex] ($)

Or,

= [tex](167 + 2\times 4)[/tex]

= [tex]167+8[/tex]

= [tex]175[/tex] ($)

i.e,

$159 and $175

Answer:

x=26/7

Step-by-step explanation:

Add 5/7 to both sides. Multiply 3 and the denominator being 7 to get 21. Add the numerator of 5 to 21 to get 26. The denominator stays the same and the numerator becomes 26.