Marty and Jean are married and have 4-year-old twins. Jean is going to school full-time for 11 months of the year, and Marty earns $59,200. The twins are in day care so Jean can go to school while Marty is at work. The cost of day care is $10,100. TABLE 6.1 CHILD AND DEPENDENT CARE CREDIT PERCENTAGES Adjusted Gross Income Applicable Percentage Over But Not Over $0 – $15,000 35% 15,000 – 17,000 34% 17,000 – 19,000 33% 19,000 – 21,000 32% 21,000 – 23,000 31% 23,000 – 25,000 30% 25,000 – 27,000 29% 27,000 – 29,000 28% 29,000 – 31,000 27% 31,000 – 33,000 26% 33,000 – 35,000 25% 35,000 – 37,000 24% 37,000 – 39,000 23% 39,000 – 41,000 22% 41,000 – 43,000 21% 43,000 – No limit 20% What is their child and dependent care credit?

Answer:

b. 9

Just use PEMDAS

Answer:

-9

Step-by-step explanation:

3 time 7

minus

4 times 8

21 - 32

-11+2= -9

Answer:

Step-by-step explanation:

Cos θ = u*v    

             IuI *IvI

u * v = 7*(-1) + (-2)*2

       = -7 - 4

      = -11

IuI = [tex]\sqrt{7^{2}+(-2)^{2}}\\[/tex]

    = [tex]\sqrt{49+4}\\\\[/tex]

    = [tex]\sqrt{53}[/tex]

I vI = [tex]\sqrt{(-1)^{2}+2^{2}}\\[/tex]

     = [tex]\sqrt{1+4}\\\\[/tex]

      = [tex]\sqrt{5}\\[/tex]

Cos θ = [tex]\frac{-11}{\sqrt{53}*\sqrt{5} } \\\\[/tex]

          = [tex]\frac{-11}{16.28}\\\\[/tex]

   Cos θ = -0.68

θ = 132.5°

Answer:

6

Step-by-step explanation:

nerd physics

Answer:

x = 45 degrees

Step-by-step explanation:

The measure of exterior angles is equal to the sum of non-adjacent interior angles

=> 2x = x+45

=> 2x-x = 45

=> x = 45 degrees

Answer:

45 degrees.

Step-by-step explanation:

The exterior angle = sum of the 2 opposite interior angles.

2x =  x + 45

2x - x = 45

x = 45.

Answer:

Step-by-step explanation:

First, we need to divide the amount into 2 equal parts:

$819/2 = $414.50

Now, because they spent $183 more on textbooks, we add half of that to $414.50.

$414.50 + $91.50 = $506

$414.50 - $91.50 = $323

To make sure that the amount spent on textbooks is $183 more than the amount spent on course materials and computers, we need to add $183 to $323. If we get $506, our answer is correct.

$323 + $183 = $506 ✅

Answer:

Option B - 0.02

Step-by-step explanation:

In this question, the p-value is used to tell us the probability that a difference of (0.88 – 0.68) which is 0.2 or greater would occur in the distribution of simulated differences. This is created done with the assumption that there is no true difference in the two populations.

Due to the fact that the researchers found the difference in proportions to be statistically significant, hence these results would rarely occur due to just the sampling variability and thus the p-value must be small.

Looking at the options, the p-value in Option (B) will be the correct response,l as it indicates that a difference of 0.2 or more would only occur about 2% of the time by chance alone provided the proportion who text were the same in the population of seniors and the population of freshmen. This resonates well with the claim that the difference in proportions is statistically significant.

Thus, Option B is the correct answer.

Answer:

xy + 8x - y - 8

Step-by-step explanation:

We can use the FOIL method to expand these two binomials. FOIL stands for First, Outer, Inner, Last.

F: The First means that we multiply the first terms of each binomial together. In this case, that would be x · y = xy.

O: The Outer means that we multiply the outer terms, or the first term of the first binomial and the second term of the last binomial, together. In this case, that would be x · 8 = 8x.

I: The Inner means that we multiply the inner terms, or the second term of the first binomial and the first term of the second binomial, together. In this case, that would be (-1) · y = -y.

L: The Last means that we multiply the last terms of each binomial together. In this case, that would be (-1) · 8 = -8.

Adding all of these together, we get xy + 8x - y - 8 as our final answer.

Hope this helps!

Answer:

[tex]xy+8x-y-8[/tex]

Step-by-step explanation:

=> (x-1)(y+8)

Using FOIL

=> [tex]xy+8x-y-8[/tex]

Answer:

34293

Step-by-step explanation:

because it 36 and 45. it is right

Answer:

The answer is -24√35

Step-by-step explanation:

-6√7 × 4√5

Using the rules of surds multiply the numbers outside the square root and the ones inside

That's

(-6×4)(√ 7 × √5)

= - 24√7×5

= -24√35

Hope this helps you

Answer:

-24√35

Step-by-step explanation:

-6√7 × 4√5

-6 × √7 × 4 √5

-6 × 4 × √7 × √5

-24 × √(7 × 5)

-24√35

Answer:

D

Step-by-step explanation:

It's decreasing then once it hits the origin, it starts to increase again. I hope this helps you:)

Answer:

D

Step-by-step explanation:

Answer:

A) Option B is correct.

H₀: μ₁ = μ₂

Hₐ: μ₁ - μ₂ < 0

B) t = -2.502

p-value = 0.0112

C) Option A is correct.

Reject H₀. The data suggests that cola has a higher average compression strength than the strawberry drink.

D) Option A is correct.

The distributions of compression strengths are approximately normal.

Step-by-step explanation:

The complete Question is presented in the two attached images to this answer.

A) To perform this test we first define the null and alternative hypothesis.

The null hypothesis plays the devil's advocate and usually takes the form of the opposite of the theory to be tested. It usually contains the signs =, ≤ and ≥ depending on the directions of the test.

While, the alternative hypothesis usually confirms the the theory being tested by the experimental setup. It usually contains the signs ≠, < and > depending on the directions of the test.

For this question, we want to test if the extra carbonation of cola results in a higher average compression strength. That is, that cola has a higher average compression strength than the strawberry drink.

Hence, the null hypothesis would be that there isn't significant evidence to suggest that the extra carbonation of cola results in a higher average compression strength, that is, cola has a higher average compression strength than the strawberry drink.

The alternative hypothesis is that there is significant evidence to suggest that the extra carbonation of cola results in a higher average compression strength, that is, cola has a higher average compression strength than the strawberry drink.

Mathematically, if the average compression strength of strawberry drink is μ₁, the average compression strength of cola is μ₂ and the difference in compression strengths is μ = μ₁ - μ₂

The null hypothesis is represented as

H₀: μ = 0 or μ₁ = μ₂

The alternative hypothesis is represented as

Hₐ: μ < 0 or μ₁ - μ₂ < 0

B) So, to perform this test, we need to compute the test statistic

Test statistic for 2 sample mean data is given as

Test statistic = (μ₁ - μ₂))/σ

σ = √[(s₂²/n₂) + (s₁²/n₁)]

μ₁ = average compression strength of strawberry drink = 537

n₁ = sample size of the sample of strawberry drink in cans surveyed = 10

s₁ = standard deviation of the compression strength of strawberry drink in cans surveyed= 22

μ₂ = average compression strength of cola = 559

n₂ = sample size of the sample of cola in cans surveyed = 10

s₂ = standard deviation of the compression strength of strawberry drink in cans surveyed = 17

σ = [(17²/10) + (22²/10)] = 77.5903160379 = 8.792

We will use the t-distribution as no information on population standard deviation is provided

t = (537 - 559) ÷ 8.792

= -2.502 = -2.50

checking the tables for the p-value of this t-statistic

Degree of freedom = df = n₁ + n₂ - 2 = 10 + 10- 2 = 18

Significance level = 0.05

The hypothesis test uses a one-tailed condition because we're testing in only one direction (whether compression strength of cola in can is greater).

p-value (for t = -2.50, at 0.05 significance level, df = 18, with a one tailed condition) = 0.011154 = 0.0112 to 4 d.p.

C) The interpretation of p-values is that

When the (p-value > significance level), we fail to reject the null hypothesis and when the (p-value < significance level), we reject the null hypothesis and accept the alternative hypothesis.

So, for this question, significance level = 0.05

p-value = 0.0112

0.0112 < 0.05

Hence,

p-value < significance level

This means that we reject the null hypothesis accept the alternative hypothesis & say that the extra carbonation of cola results in a higher average compression strength, that is, cola has a higher average compression strength than the strawberry drink.

D) The necessary conditions required before a t-test is deemed valid include.

- The samples used must be a random sample of the population distribution with each variable in the sample independent of other one.

- The distribution of the population where the samples were extracted from must be normal or approximately normal to ensure some degree of normality for the samples.

Hence, the necessary assumption for this t-test among the options is that the distributions of compression strengths are approximately normal.

Hope this Helps!!!

Answer:

1.23?

Step-by-step explanation:

Answer:

12 m

Step-by-step explanation:

Given that the design, ABCD, was dilated to get a photocopy, EFGH, a scale factor or ratio was multiplied by the original lengths of the design to get the new measurement of the photocopy.

Thus, we are given the ratio, CD:GH = 2:3.

This means, any of the corresponding lengths of both figures would be in that same ratio.

Using the ratio of the design to the photocopy, 2:3, we can find the length of side EH of the photocopy.

The corresponding side of EH in the design is AD = 8m. Thus, AD to EH = ⅔

[tex] \frac{AD}{EH} = \frac{2}{3} [/tex]

[tex] \frac{8}{EH} = \frac{2}{3} [/tex]

Cross multiply

[tex] 3*8 = 2*EH [/tex]

[tex] 24 = 2*EH [/tex]

Divide both sides by 2 to make EH the subject of formula

[tex] \frac{24}{2} = \frac{2*EH}{2} [/tex]

[tex] 12 = EH [/tex]

The length of side EH = 12 m

Answer:

3/20s

Step-by-step explanation:

Answer:

9.2 ounce bottle cost $6.12 is better buy with unit price of $0.22

Step-by-step explanation:

Unit price of any product is given by

unit price = weight of product/ price of product

Given sizes

A

13.5 ounces bottle cost $2.98

cost of 1 ounce of shampoo for this size = cost price/weight of shampoo

 cost of 1 ounce of shampoo for this size =2.98/13.5 = $0.22

Unit price for this size is $.022

B

9.2 ounce bottle cost $6.12

cost of 1 ounce of shampoo for this size = cost price/weight of shampoo

 cost of 1 ounce of shampoo for this size =6.12/9.2 = 0.66

Unit price for this size is $0.66

As $0.22 is less than $0.66 thus,

9.2 ounce bottle cost $6.12 is better buy.

======================================================

Work Shown:

1 hour = 60 minutes

2 hours = 120 minutes (multiply both sides by 2)

1/4 hour = 15 minutes (divide both sides of the first equation by 4)

2 & 1/4 hours = 2 hours + 1/4 hour

2 & 1/4 hours = 120 minutes + 15 minutes

2 & 1/4 hours = 135 minutes

---------------------

1 minute = 60 seconds

135 minutes = 8100 seconds (multiply both sides by 135)

2 & 1/4 hours = 8100 seconds

Answer:

[tex]L(t) = 170 - 10t[/tex]

Step-by-step explanation:

The amount that Alexa owes after t weeks is given by a linear equation in the following format:

[tex]L(t) = L(0) - bt[/tex]

In which L(0) is the initial amount borrowed and b is how much is paid per week.

Alexa agreed to pay back her friend $10 per week and originally borrowed $170.

This means that, respectivelly, [tex]b = 10, L(0) = 170[/tex]. So

[tex]L(t) = L(0) - bt[/tex]

[tex]L(t) = 170 - 10t[/tex]

Answer: (10 - 3) x 25 = 175

Step-by-step explanation:

10 - 3 = 7

            7 x 25 = 175

Answer:

9,000 inches^3

Step-by-step explanation:

The first part is 20 x 20 x 20, which equals 8,000

The second part is 10 x 10 x 10, which is 1,000

1,000 + 8,000 = 9,000

Answer and Step-by-step explanation:

The computation of dividends per share on each class of stock for each of the four years is shown below:-

Particulars                1st year     2nd-year     3rd-year     4th year

Preferred dividend

paid a                         $34,000   $38,000    $36,000    $36,000

Number of preferred

stock b                       60,000     60,000       60,000       60,000

Dividend per share

(a ÷ b)                         $0.57       $0.63          $0.60             $0.60

Dividend paid to common

stockholders c               $0             $38,000    $44,000     $64,000

Number of common stock

shares d                       410,000     410,000     410,000     410,000

Dividend per share

on common stock        $0             $0.093        $0.11          $0.16

(c ÷ d)

Working note:

Preferred dividend = Number of preferred stock shares × Par value per share × Percentage of dividend

= 60,000 × $20 × 3%

= $36,000

Preferred stock

For 1st year

= $34,000

For 2nd-year

Dividend in year 2+ Dividend balance in year 1

= $36,000 + ($36,000 - $34,000)

= $38,000

For 3rd-year

= $36,000

For 4th year

= $36,000

Common stock dividend

Particulars                      1 year        2 year       3 year       4 year

Total dividend paid       $34,000  $76,000   $80,000     $100,000

Less:

Preferred stock

dividend                      $34,000      $38,000  $36,000     $36,000

Dividend paid to common

stockholders                 $0             $38,000    $44,000     $64,000

Answer:

7

Step-by-step explanation:

:)

Answer:

never intersect

Step-by-step explanation

parallel lines do not intersect and neither do parallel planes

Answer: 107.67°C

Step-by-step explanation:

I guess that we could do a Taylor expansion around the point (2, 1)

Remember that a Taylor expansion around the point (a, b) is:

[tex]T(x,y) = T(a, b) + \frac{dT(a,b)}{dx}(x - a) + \frac{dT(a,b)}{dy}(y - b) + .....[/tex]

Where the latter terms need higher orders of the derivates of T, so we can not find them, regardless of that, this expansion will be accurate near the point (a, b),

Then, using this, we can write our expanssion as:

T(x,y) = 107 + 9*(x - 2) - 8*(y - 1)

Now we evaluate this in x = 2.03 and y = 0.95

T(2.03, 0.95) =  107 + 9(2.03 - 2) - 8*(0.95 - 1) = 107.67

Then a good estimation of the temperature at the point (2.03,0.95) is 107.67°C

The estimate of the temperature of the unevenly heated metal plate at temperature at the point (2.03,0.95) is;

T(2.03, 0.95) = 107.67 °C

Formula for taylor expansion around a point (a, b) is given as;

T(x, y) = T(a,b) +  [tex]\frac{dT(a,b)}{dx}[/tex](x - a) +  [tex]\frac{dT(a,b)}{dy}[/tex](y - b) + ....

We are given;

T(2,1) = 107

T'x(2,1) = [tex]\frac{dT(a,b)}{dx}[/tex] = 9

T'y(2,1) = [tex]\frac{dT(a,b)}{dy}[/tex] = −8

Plugging in the relevant values into our taylor expansion above gives;

T(x, y) = 107 + 9(x - 2) - 8(y - 1)

Now, we want to estimate the temperature at the point (2.03, 0.95).

Thus, we will plug in x = 2.03 and y = 0.95 to get;

T(2.03, 0.95) = 107 + 9(2.03 - 2) - 8(0.95 - 1)

T(2.03, 0.95) = 107 + 0.27 + 0.4

T(2.03, 0.95) = 107.67 °C

Read more at; https://brainly.com/question/9211177

Answer:

a) 0.2218 to 0.7057

b) 0.4710 to 0.8401

Step-by-step explanation:

Given:

sample = n = 18

sample variance = s² = 0.36

To find:

a) 90% confidence interval estimate of the population variance.

b) 90% confidence interval estimate of the population standard deviation.

a)

Compute degree of freedom

degree of freedom = df = n - 1 = 18 - 1 = 17

Compute value of α for a 90% confidence interval  

The confidence level for 90% is:

c = 0.90

So

α = 1 - c = 1 - 0.90 = 0.1

α = 0.1

Now use the table of critical values of the chi-square distribution in order to find critical values. Search for the 17th row of table using df = 17 and find the column corresponding to 1 - α/2 i.e. 0.95 of table for upper tail critical values and column corresponding to α /2 i.e. 0.05 of table for lower tail critical values.

Using the table:

[tex]X^{2}_{0.95}[/tex] = 8.672

[tex]X^{2}_{0.05}[/tex] = 27.587

90% Confidence interval estimate of the population variance

The boundaries of CI are computed using formula:

(n−1) s² / [tex]X^{2}_{\alpha/2}[/tex]  ≤ σ² ≤ (n−1) s² / [tex]X^{2}_{1-\alpha/2}[/tex]

(n−1) s² / [tex]X^{2}_{\alpha/2}[/tex]  = (18-1) 0.36 / 27.587

                       = (17) 0.36 / 27.587

                       =  6.12 / 27.587

(n−1) s² / [tex]X^{2}_{\alpha/2}[/tex]  = 0.2218

(n−1) s² / [tex]X^{2}_{1-\alpha/2}[/tex] = (18-1) 0.36 / 8.672

                          = (17) 0.36 / 8.672

                          =  6.12 / 8.672

                          = 0.7057

This results in inequalities 0.2218 ≤ σ² ≤ 0.7057 for the variance

b)

90% Confidence interval estimate of the population standard deviation

The boundaries of CI are computed using formula:

√(n−1) s² / [tex]X^{2}_{\alpha/2}[/tex]  ≤ σ ≤ √(n−1) s² / [tex]X^{2}_{1-\alpha/2}[/tex]

√(n−1) s² / [tex]X^{2}_{\alpha/2}[/tex]  = √((18-1) 0.36 / 27.587)

                          = √((17) 0.36 / 27.587)

                          =  √(6.12 / 27.587)

                          = √0.2218

                          = 0.4709

                          = 0.4710

√(n−1) s² / [tex]X^{2}_{1-\alpha/2}[/tex] = √((18-1) 0.36 / 8.672)

                            = √((17) 0.36 / 8.672)

                            = √ (6.12 / 8.672)

                            = √0.7057

                            = 0.8401

0.4710 ≤ σ ≤ 0.8401 for the standard deviation.

Answer:

$52.96

Step-by-step explanation:

To find the total cost of his clothing, add up the prices of everything he bought.

Jeans: $23.00

Shirt: $14

Ties: 2 ties for $7.98 each.

Each tie costs $7.98, and the man bought two ties. Therefore, multiply 2 and $7.98

2*$7.98 = $15.96

Add all the prices together.

jeans + shirt + ties

$23 + $14 + $15.96

$37 + $15.96

$52.96

The total cost of his clothing is $52.96

Answer:

total cost=52.96

Step-by-step explanation:

Things he bought:

jeans for $23.00

a shirt for $14.00

two ties for $7.98 each

the total const would be the sum of all his clothes

which is

jeans for $23.00

+shirt for $14.00

+one tie for $7.98

+one tie for $7.98

_______________

total cost=52.96

HOPE IT HELPS :0

PLEASE MARK IT THE BRAINLIEST!

Answer:

all real number except 0

Step-by-step explanation:

Answer:

Well the best answer would be 1    0.75 cubic feet bag of dirt  

Step-by-step explanation:

Answer: I had the same assingment and came here looking for answers myself. When I saw the only anwser was 20 (Which is wrong) I decided I would try my best and If I got it right come back here and share the correct answers for future students.

Just look at the PDF attached below, I somehow got a 50/50.

Step-by-step explanation:

Statements                                                   Reasons

1. △EGC ≅ △EGB                                     1. Given

2. EB ≅ EC                                              Supposition

3. <EGC ≅ <EGB                                       Given

4. Equilateral  Triangle                       EB ≅ EC ≅ BC

5. Equilateral  Triangle                      m∠BEC = 60°

Statements                                                 Reasons

1. △BEC is equilateral                      AAS≅AAS postulate (angle angle side)

2. m∠ GCE = 60°                                   m∠ BEC = 60°  Equilateral Triangles

3. FG ⊥ BC &  FG ⊥ AD                                   ABCD is a square

4.  m∠ECD +  m∠ BEC = 30°+60°                           Substitution (right angles)

m∠DCG = 90°                                                  right angles of a square

m∠BED=   135°

Statements                                                   Reasons

1. △ECG ≅ △EBG                                             Given

2.  ABCD is a square                                       Given

3. BC ≅ BE                                                     Given

4. AB ≅ DC                                                   ABCD is a square

5.  m∠ABE ≅  m∠DCE                           Outside angles of congruent  

                                                               triangles △EGB≅      △EGC    

5.  △AEB≅ △DEC                         S.S.A ≅ S.S.A. ( side side angle) Postulate

△BEC is equilateral                                m∠BEC = 60°

△ECD is isosceles                                 m CD= mCE

∠ECD = 30°                                          m∠BEC = 60°

As m∠BEC +∠ECD = 30°+ 60°          right angle of the square ABCD

The equal sides of the isosceles triangles are called the legs and the unequal third side is called the base.

Angles opposite to the equal sides of the isosceles triangle must also be equal.

As the third angle is 30° so the other two angles must be 75° each to make a total of 180°.

m∠BED=  m∠BEC +  m∠CED

             = 60° + 75°= 135°

https://brainly.com/question/22140109

Answer:

n = 600

Step-by-step explanation:

To solve this equation:

1. Simplify all like terms: 5400/9 = 600 = n

2. The n cannot be simplified.

3. The answer is n = 600 because 5400/9 is 600 which is equal to n