During the winter months, heating bills can be expensive. A contractor claims that installing a new brand of insulation will considerably lower your heating bill (which was $205 last month). After conducting the test (assuming the data were provided). you find that the results are significant at the 5% level. You may also conclude: __________.a. the test would also be significant at the 10% level. b. the test would also be significant at the 1% level. c. both of the above. d. none of the above.

Answer:

Computation of each tax and the total deduction:

                Gross     Soc. Sec. Tax    Medicare         Total

                                                             Tax             Deduction

a.           $ 125.00         $7.75              $1.81               $9.56

b.             432.00         26.78               6.26               33.04

c.             241.00           14.94               3.49                18.43

d.         1,562.00          96.84             22.65              119.49

e.         2,521.00       156.30             36.55              192.85

Step-by-step explanation:

a) Data and Calculations:

Social Security tax rate = 6.2%

Medicare tax rate = 1.45%

Computation of each tax and the total deduction:

                Gross     Soc. Sec. Tax    Medicare         Total                Pay

                                                             Tax             Deduction

a.           $ 125.00         $7.75              $1.81               $9.56             $115.44

b.             432.00         26.78               6.26               33.04             398.96

c.             241.00           14.94               3.49                18.43             222.57

d.         1,562.00          96.84             22.65              119.49           1,442.51

e.         2,521.00       156.30             36.55              192.85          2,328.15

Total $4,881.00       302.61              70.76             373.37          4,507.63

Answer: the answer would be a-y=0.25x+6.5

Answer:

67

Step-by-step explanation:

Answer:

1560780 selections

Step-by-step explanation:

Given

Cars = 29

Selection = 7

Required

Possible number of selections

The interpretation of the question is that, in how many ways can 7 cars be selected from 29.

This is done using combination formula as follows:.

[tex]^nC_r = \frac{n}{(n-r)!r!}[/tex]

Where

[tex]n = 29[/tex]

[tex]r = 7[/tex]

So, the formula becomes:

[tex]^{29}C_7 = \frac{29!}{(29-7)!7!}[/tex]

[tex]^{29}C_7 = \frac{29!}{22!7!}[/tex]

[tex]^{29}C_7 = \frac{29*28*27*26*25*24*23*22!}{22!7!}[/tex]

[tex]^{29}C_7 = \frac{29*28*27*26*25*24*23}{7!}[/tex]

[tex]^{29}C_7 = \frac{29*28*27*26*25*24*23}{7*6*5*4*3*2*1}[/tex]

[tex]^{29}C_7 = \frac{7866331200}{5040}[/tex]

[tex]^{29}C_7 = 1560780[/tex]

Hence, the number of ways is 1560780

Answer: Choice D is correct

You use the HL (hypotenuse leg) theorem here.

The hypotenuse is the side opposite the right angle. In this case, the two hypotenuse segments overlap perfectly, so you'll use the reflexive property. The tickmarks tell us that we have a pair of congruent legs.

The other choices don't have enough information to be able to say if the triangles are congruent or not.

The pair of triangles D can demonstrate congruence. We are aware that two triangles are said to be congruent if the corresponding sides and angles of one triangle are equal to those of another triangle.

The measurements of the sides and angles of two or more triangles determine their congruence. A triangle's size is determined by its three sides, and its shape is determined by its three angles. If the pairs of corresponding sides and angles of two triangles are equal, they are said to be congruent.

The side opposite the right angle is known as the hypotenuse. You will employ the reflexive characteristic in this instance since the two hypotenuse segments exactly overlap one another. We have a set of legs that are congruent, according to the tickmarks.

The information provided by the alternate options is insufficient to determine whether or not the triangles are congruent.

Thus, the pair of triangles D can demonstrate congruence. We are aware that two triangles are said to be congruent if the corresponding sides and angles of one triangle are equal to those of another triangle.

Learn more about the congruence in the triangles here:

brainly.com/question/20521780

#SPJ2

Answer:

[tex]f(x) = -14x + 14[/tex]

Step-by-step explanation:

Given

[tex]Initial\ Value = 14[/tex]

[tex]Rate = -14[/tex]

Required:

Write as a function

Let x be the quantity that changes:

A function is of the form:

[tex]f(x) = mx + b[/tex]

Where

m = slope or rate

b = y intercept or initial value.

So, we can say that:

[tex]m = -14[/tex]

[tex]b = 14[/tex]

Substitute values for b and m in [tex]f(x) = mx + b[/tex]

[tex]f(x) = -14x + 14[/tex]

Answer:

1.no answer x

Step-by-step explanation:

2. 216

3. 1000

Answer:

1. 23

2. 17

Step-by-step explanation:

perimeter is the sum of length of all sides of a figure so if you add up the lengths of the sides you get 23 and 17 respectively.

Answer:

90

Step-by-step explanation:

[tex]\huge\textbf{Hey there!}[/tex]

[tex]\mathbf{2(43 - 1) + 6}\\\\\mathbf{= 2(\boxed{\bf 42}) + 6}\\\\\mathbf{= \boxed{\bf 84} + 6}\\\\\mathbf{= 90}\\\\\\\\\\\huge\textbf{Therefore, your answer is: \boxed{\mathsf{90}}}\huge\checkmark[/tex]

[tex]\huge\textbf{Good luck on your assignment \& enjoy}\\\huge\textbf{your day!}[/tex]

Answer:

0.025

Step-by-step explanation:

Answer:

0.25 metros.

Step-by-step explanation:

cada centimetro es 0.01 metro.

Answer:

Step-by-step explanation:

Given the expression

2a^3−10ab^2+3a^3−ab^2−7

We are to find the coefficient of a^3

First is to collect the like terms;

2a^3−10ab^2+3a^3−ab^2−7

= 2a^3+3a^3−10ab^2−ab^2−7

= 5a^3-11ab^2-7

From the resulting equation, you can see that the coefficient of the term having a^3 is 5

Answer:

5

Step-by-step explanation:

i took the quiz trust me

Answer:

C....

Step-by-step explanation:

Step-by-step explanation:

it would be 24.........

Answer:

x = -7/2

Step-by-step explanation:

( x + 9 ) - ( x -2 )=

2x +7 =

2x = -7

x = -7/2

Answer:

I think D

Step-by-step explanation:

The ground looks pretty smooth to me, plus D has more info

Also, is that math?

Because it doesn't look like math.

Answer:

D

Step-by-step explanation:

all the others don't make sense

I'll take my brainlets

Answer:

The second answer choice is the best one

Step-by-step explanation:

y=7/2x-3

Answer:

C

Step-by-step explanation:

Answer:

Daisy, Ivan, Patrick, Laura

Step-by-step explanation:

That's just the numbers biggest to smallest.

Answer:

15 yards.

Step-by-step explanation:

This is because there are 3 feet in one yard, and 5x3= 15.

Answer:

1.66667

Step-by-step explanation:

Answer: It should be 1 in. : 150 mi.

Answer:150

Step-by-step explanation:

a year later

Answer:

A

Step-by-step explanation:

Answer:

she makes $22.80 a day

Step-by-step explanation:

since she makes $0.57 per box and averages at 40 boxes a day, we multiply 40 and 0.57. 40 x 0.57 = 22.8, or $22.80.

hope this helped!

Answer:

the fourth box (parabola)

Step-by-step explanation:

yeah

Answer:

52 ft

Step-by-step explanation:

Given that:

We have an pyramid with square base.

Area of base of the square pyramid = 169 [tex]ft^2[/tex]

To find:

Perimeter of the base of pyramid = ?

Solution:

First of all, let us have a look at the formula of area of a square shape.

[tex]Area = Side \times Side[/tex]

Let the side be equal to [tex]a[/tex] ft.

Putting the given values in the formula:

[tex]169 = a^2\\\Rightarrow a =\sqrt{169}\\\Rightarrow \bold{a = 13\ ft}[/tex]

Now, let us have a look at the formula for perimeter of square.

Perimeter of a square shape = 4 [tex]\times[/tex] Side

Perimeter = [tex]4\times 13 = \bold{52\ ft}[/tex]

Answer:

18

Reason:

the ratio is 2:3, and samuel is the 3 part. We can put this as for every 2 miles that pedro gets, samuel gets 3 miles. Samuel got 27 miles, so you do 27/3 which is 9, and then 9 * 2, which is 18.

Answer:

What are the questions?