Are these all of the answers?

Are These All Of The Answers?

Answers

Answer 1

That Looks about right.

Answer 2
Yea it looks right there bud

Related Questions

MaryAnn is printing pictures from her recent trip to Europe. An online print shop charges $0.15 per
4x6 inch print, along with a flat rate shipping charge of $3.00. If MaryAnn has $35 to spend, how
many prints can she order?

Answers

Answer:

213

Step-by-step explanation:

Let

x = number of picturesy = total price

The relationship between x and y can be represented through a linear equation.

y = a . x + b

where,

a is the slope

b is the y-intercept

The slope refers to the price per print, that is, a = $0.15/p.

Then,

y = $0.15/p . x + b

Even if x = 0, there is a fixed cost of $3.00 (y = $3.00). We can replace these values in the expression above.

$3.00 = $0.15/p . 0 + b

b = $3.00

The final equation is:

y = $0.15/p . x + $3.00

If MaryAnn has $35,

$35 = $0.15/p . x + $3.00

$32 = $0.15/p . x

x = 213 p

She can order 213 prints.

5 times 10 to the power of 3 times 9 times ten to the power of 7

Answers

Answer:

Step-by-step explanation:

450000000000

Answer:

125,000

47,829,690,000,000‬

Step-by-step explanation:

need help asap , this is for my online geometry class.​

Answers

Answer:

MOP = DAB

Step-by-step explanation:

the sides have to be matched up as well. the side with only one dash (MO) has to correspond with the side with one dash from the other triangle (DA). Thus, the letters in the sequence (MOP) have to match up in the same order (DAB)

The correct congruency statement with regards to the congruence of the triangles is the fourth statement

ΔMOP ≅  ΔDAB

The details of the steps by which the congruence statement can be found can be presented as follows;

The marks on the segment indicates;

PO is congruent to BA

MO is congruent to DA

PM is congruent to BD

Therefore, the triangle MOP is congruent to the triangle DAB

The order in which the markings on the triangles are located can also be used to find the correct congruence statement

The name of the triangle MOP indicates that the vertice of the triangle between the segment with three marklings, III, and the segment with one marking, I, is considered first, which is the vertice M and D on each triangle

The next mentioned vertice is the vertice between the segment with one marking and the segment with two markings, which is the vertice O and A on each triangle

The third considered vertice is the third vertice on both triangles, which corresponds to the vertice P and B on each triangle

The congruency statement is therefore ΔMOP ≅ ΔDAB

joe bought g: gallons of gasoline for $2.85 per gallon and c: cans for oil for 3.15 dollars.

Part A:what expression can be used go determine the total amount joe spent on gasoline and oil?

part B:if he bought 8.4 gallons of gasoline and 6 cans of oil, how much will he have spent in all?


please help! thank you :D​

Answers

A) 2.85g+3.15c
B)2.85(8.4)+3.15(6)=$42.84
Final answer:

The expression to determine the total amount Joe spent on gasoline and oil is 2.85 * g + 3.15 * c. If Joe bought 8.4 gallons of gasoline and 6 cans of oil, he will have spent 42.84 dollars in total.

Explanation:

Part A: To determine the total amount Joe spent on gasoline and oil, we need to calculate the cost of gasoline and the cost of oil separately, and then add them together.

The expression to calculate the cost of gasoline is: 2.85 * g, where 'g' represents the number of gallons of gasoline Joe bought.

The expression to calculate the cost of oil is: 3.15 * c, where 'c' represents the number of cans of oil Joe bought.

Therefore, the expression to determine the total amount Joe spent is: 2.85 * g + 3.15 * c.

Part B: If Joe bought 8.4 gallons of gasoline and 6 cans of oil, we can substitute these values into the expression we derived in Part A.

The total amount Joe spent can be calculated as follows:

Total amount spent = 2.85 * 8.4 + 3.15 * 6

Simplifying the expression:

Total amount spent = 23.94 + 18.90

Total amount spent = 42.84 dollars

Solve x2 – 8x = 3 by completing the square. Which is the solution set of the equation?

(4 minus StartRoot 19 EndRoot comma 4 + StartRoot 19 EndRoot)
(4 minus StartRoot 11 EndRoot comma 4 + StartRoot 11 EndRoot)
(4 minus StartRoot 8 EndRoot comma 4 + StartRoot 8 EndRoot)
(4 minus StartRoot 3 EndRoot comma 4 + StartRoot 3 EndRoot)

Answers

Answer:

x = 4 ± [tex]\sqrt{19}[/tex]

Step-by-step explanation:

Given

x² - 8x = 3

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 4)x + 16 = 3 + 16

(x - 4)² = 19 ( take the square root of both sides )

x - 4 = ± [tex]\sqrt{19}[/tex] ( add 4 to both sides )

x = 4 ± [tex]\sqrt{19}[/tex], that is

x = 4 - [tex]\sqrt{19}[/tex], 4 + [tex]\sqrt{19}[/tex]

Final answer:

The solution set for the quadratic equation x² - 8x = 3 is found by completing the square, resulting in (4 - √19, 4 + √19).

Explanation:

To solve the quadratic equation by completing the square, we start with x² – 8x = 3. First, we move the constant term to the other side of the equation:

x² – 8x + ____ = 3 + ____

Now we need to find a number to fill in the blanks that makes the left side a perfect square trinomial. To do this, take half of the coefficient of x, which is -8/2 = -4, and then square it, which gives us 16. Add 16 to both sides:

x² – 8x + 16 = 3 + 16

x² – 8x + 16 = 19

The left side is now a perfect square, (x – 4)² = 19. Taking the square root of both sides gives us:

x – 4 = ±√19

Add 4 to both sides to solve for x:

x = 4 ±√19

Therefore, the solution set for the equation x² – 8x = 3 is (4 – √19, 4 + √19).

Simplify 5 over 3/5 divided 7/8

Answers

Step-by-step explanation:

When you divide fractions, you multiply by the reciprocal.

The new equation would be:

[tex] \frac{5}{\frac{3}{8} \times \frac{8}{7} } [/tex]

When you multiply fractions, you go straight across. You'd get 24/56 and I can already see this can be simplified.24/56 = 3/7Now you could just plug 5 ÷ 3/7 in your calculator but let's just actually solve itTurn 5 into 5/1 and then flip 3/7 to its reciprocal (7/3)

[tex] \frac{5}{1} \times \frac{7}{3} = \frac{35}{3} [/tex]

35/3 = 11.66 repeating or simply:[tex]11 \frac{2}{3} [/tex]

Answer:

200/21

Step-by-step explanation:

5/(3/5) divided by 7/8

First divide 5 by 3/5. To do this you must write 5 as 5/1, and multiply 5/1 by the reciprocal of 3/5 (5/3).

5/1 (5/3)

numerator: 5*5=25

denominator: 1*3=3

25/3

Then divide 25/3 by 7/8 by multiplying 25/3 by the reciprocal of 7/8 (8/7).

25/3 (8/7)

numerator: 25*8= 200

denominator: 3*7= 21

200/21 or 9 11/21

Select all irrational numbers.




4√

8√

10√

15√

36√

Answers

The irrational numbers would be:

8

10

15

6. (x + 2)(3x - 1) - (x + 4)(x - 7)
i’m confused

Answers

Answer:

[tex]\large\boxed{(x+2)(3x-1)-(x+4)(x-7)=2x^2+8x+26}[/tex]

Step-by-step explanation:

[tex](x+2)(3x-1)-(x+4)(x-7)\\\\\text{Use FOIL:}\ (a+b)(c+d)=ac+ad+bc+bd\\\\(x+2)(3x-1)=(x)(3x)+(x)(-1)+(2)(3x)+(2)(-1)\\\\=3x^2-x+6x-2=3x^2+(-x+6x)-2=3x^2+5x-2\\\\(x+4)(x-7)=(x)(x)+(x)(-7)+(4)(x)+(4)(-7)\\\\=x^2-7x+4x-28=x^2+(-7x+4x)-28=x^2-3x-28\\\\(x+2)(3x-1)-(x+4)(x-7)=(3x^2+5x-2)-(x^2-3x-28)\\\\=3x^2+5x-2-x^2-(-3x)-(-28)=3x^2+5x-2-x^2+3x+28\\\\=(3x^2-x^2)+(5x+3x)+(-2+28)\\\\=2x^2+8x+26[/tex]

Answer:

2x^2 +8x +26

Step-by-step explanation:

I think you're supposed to simplify this:

So what you do is: you must have learmt about FOIL

which means First, Outside, Inside, Last.

So, this is how to do it using FOIL:

(3x^2 -x+6x-2) - ( x^2-7x+4x-28)

Now simplify, combine like terms wherever you can,

(3x^2 +5x -2) - ( x^2 -3x -28)

Note: multiply the subtraction sign otherwise you will end up making a mistake,

3x^2 +5x -2 - x^2 +3x+28

3x^2 -x^2 +5x+3x-2+28

2x^2 +8x +26 Answer

Hope this helps!

Please mark brainliest if you think I helped! Would really appreciate!

Note: Some of these steps can be eliminated, i showed everything for the purpose of making things clear for you!

How to rewrite 11x+13y=8 in slope intercept form

Answers

Answer

y=-\frac{11}{13}x+\frac{8}{13}

Step-by-step explanation:

Answer:

y = -(11/13)x + (8/13)  

Step-by-step explanation:

recall slope intercept form of a linear equation takes the general form:

y = mx + b

In this case, simply rearrange the given equation such that it looks like the general equation above.

11x+13y=8  (subtract 11x from both sides)

13y = -11x + 8  (divide both sides by 13)

y = -(11/13)x + (8/13)    (answer)

find last years salary if, after a 6% pay raise, this years salary is $33,920​

Answers

Answer:

32000 sh.

Step-by-step explanation:

100%+6%=106%

106%=33920

100%=?

100×33920=3392000

3392000÷106

32000 sh.

A cylinder has a diameter of 6 ft and height of 9 ft. What is the volume of this cylinder?
work plsss

Answers

The answer is 254.47 ft

Step-by-step explanation:

V=pi×r^2×h

pi=3.14

r=d/2

r=6/2=3

v=(3.14)×3^2×9

=254.47 ft

Answer:

54ft

Step-by-step explanation:

The formula for volume is base *height

Expand the brackets

1/2(4y-2)

Answers

Answer:

2y-1

Step-by-step explanation:

1/2(4y-2)=2y-1

2y - 1

1/2 X 4y = 2y
1/2 X 2 = 1

Therefore is 2y - 1

Helen uses 0.12
kilogram of nuts in each batch of granola
that she makes. If she makes 2.5 batches,
how many kilograms of nuts will she use?

Answers

The answer is .30 kilograms of nuts

Helen uses 0.3 kg of nuts for 2.5 kg of granola.

What is multiplication?

Multiplication is an operation that represents the basic idea of repeated addition of the same number.

Given that, Helen uses 0.12 kilogram of nuts in each batch of granola

that she makes, and she makes 2.5 batches,

For 1 batch she uses .12 kg of nuts, so for 2.5 kg she will use = 2.5*0.12 = 0.3 kg

Hence, Helen uses 0.3 kg of nuts for 2.5 kg of granola.

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Find midpoint of xy
X(7,-5) and y (9,-1)

Answers

Answer:

(8,-3)

Step-by-step explanation:

(x1+x2/2), (y1+y2/2)

7+9/2=16/2=8           x=8

-5-1/2=-6/2=-3          y=-3

Answer:

(8, -3)

Step-by-step explanation:

The formula of a midpoint of AB

[tex]A(x_A,\ y_A),\ B(x_B,\ y_B)\\\\M_{AB}\left(\dfrac{x_A+x_B}{2};\ \dfrac{y_A+y_B}{2}\right)[/tex]

We have the points X(7, -5) and Y(9, -1).

Substitute:

[tex]M_{XY}\left(\dfrac{7+9}{2};\ \dfrac{-5+(-1)}{2}\right)\\\\M_{XY}\left(\dfrac{16}{2};\ \dfrac{-6}{2}\right)\\\\M_{XY}(8,\ -3)[/tex]

A corporate team-building event costs $1, plus an additional $1 per attendee. Write an equation that shows the relationship between the attendees x and the cost y.Write your answer as an equation with y first, followed by an equals sign.

Answers

The total cost y of a corporate team-building event can be expressed by the equation y = 1 + 1x, where x represents the number of attendees. This equation includes both the fixed and variable costs.

To determine the cost y of a corporate team-building event based on the number of attendees x, we need to include both the initial fixed cost and the variable cost per attendee.

The fixed cost of the event is $1, and the variable cost per attendee is also $1. The total cost can be expressed using the following equation:

y = 1 + 1x

Here:

y represents the total cost of the event.x represents the number of attendees.The term '1' before the plus sign is the initial fixed cost, and '1x' is the variable cost for the attendees.

For example, if there are 5 attendees, the total cost would be calculated as:

y = 1 + 1(5) = 1 + 5 = 6 dollars

find a fraction between 1 3/4 and 1 7/8

Answers

Answer: 1 30000000000001/40000000000000

Step-by-step explanation:

fun

The value of y varies directly with x. If x=1/2, then y=40. Which of the following equations represents this situation?
A. x=20y
B. y=20x
C. y=80x
D. x=80y

Answers

Option C: y = 80x is the right answer

Step-by-step explanation:

Varying directly means that the increase/decrease in one quantity will cause increase/decrease in other quantity.

If y varies directly with x it is given by::

y ∝ x

When the proportionality symbol is removed, a proportionality constant is introduced

y = kx

If x = 1/2 and y = 40

then

[tex]40 = k * \frac{1}{2}\\k = 40*2\\k = 80[/tex]

Putting the value of k, we get

y = 80x

Hence,

Option C: y = 80x is the right answer

Keywords: Proportion

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what is the value of x

Answers

Answer:

The answer would be Option 3: 43.25

Step-by-step explanation:

Triangles angles all added together add up to 180 degrees.

So first we subtract 93.5 from 180. This gives us 86.5. The we divide this by 2 to get 43.25.

Hope this helped!

8. Find the value of k, if (1-1) is a solution of the equation 3x-ky =8. Also, find the coordinates of
another point lying on its graph.​

Answers

Answer:

k = 5 and (6,2).

Step-by-step explanation:

Since (1,-1) is a solution of the equation 3x - ky = 8, so the point (1,-1) will satisfy the equation above.

Hence, putting x = 1 and y = -1 in the equation will give left-hand side = right-hand side.

So, 3(1) - k(-1) = 8

⇒ 3 + k = 8

k = 5 (Answer)

Therefore, the equation of the straight line is 3x - 5y = 8 ....... (1)

Now, putting x = 6 , then from equation (1) we get y = 2

Therefore, (6,2) is also a point on the graph of equation (1). (Answer)

The temperature rises 15 degrees Fahrenheit (゚F) and then drops by 8゚F. If the temperature started at -11゚F, what temperature change would be required to bring the temperature to 0゚F?

A) an Incase of 4゚F
B) a decreased of 4゚F
C) a decreased of 19゚F
D) an increase of 19゚F

Answers

Answer:

the answer is A)

Step-by-step explanation:

-11 + 15 = 4

4 - 8 = -4

-4 + 4 = 0

Answer:

Step-by-step explanation:

Hello

The temperature rises 15 degrees Fahrenheit (゚F) and then drops by 8゚F. If the temperature started at -11゚F, what temperature change would be required to bring the temperature to 0゚F?

A) an Incase of 4゚F

B) a decreased of 4゚F

C) a decreased of 19゚F

D) an increase of 19゚F

-11 + 15 - 8 = -19 + 15 = -4° F

A) An increase of 4° F

mrs.jones rented a truck to move to a new apartment the regular price of a truck rental is 150 mrs.jones has a 20% off coupon she wants to know the sale price of truck rental​

Answers

Answer:

The sell price of the truck rental after applying the coupon of 20 % is       $ 120  .

Step-by-step explanation:

Given as :

The regular rented price for the truck = $ 150

The discount as off coupon = 20 %

Let The sell price for truck after discount = x

So , Discount % = [tex]\dfrac{\textrm market price - \textrm Selling price}{\textrm market price}[/tex]

Or, 20 % = [tex]\dfrac{\textrm 150 - \textrm x}{\textrm 150}[/tex]

Or, [tex]\dfrac{x}{150}[/tex] = 1 -  [tex]\dfrac{20}{100}[/tex]

Or,  [tex]\dfrac{x}{150}[/tex] = [tex]\dfrac{100 - 20}{100}[/tex]

or,  [tex]\dfrac{x}{150}[/tex] = [tex]\dfrac{80}{100}[/tex]

∴ x = [tex]\frac{80\times 150}{100}[/tex]

I.e x = 8 × 15

Or, x = 120

Hence the sell price of the truck rental after applying the coupon of 20 % is $ 120  . Answer

Answer:

the % is 80% and the price $120

Step-by-step explanation:

What is one fourth of sixty?

Answers

Answer:

fifteen

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

1/4(60)=60/4=15

A board game allows players to trade and sell game pieces of equal value. Player 1 traded three cars plus $100 for a house. Player 2 sold two houses and a car for $2300. How much is a car worth?

Answers

A car is worth $300

Step-by-step explanation:

A board game allows players to trade and sell game pieces of equal value

Player 1 traded three cars plus $100 for a housePlayer 2 sold two houses and a car for $2300

We need to find how much the car is worth

Assume that the car is worth $x and the house is worth $y

∵ Player 1 traded three cars plus $100 for a house

∴ 3 x + 100 = y

- Subtract 100 from both sides

∴ 3 x = y - 100

- Subtract y from both sides

3 x - y = - 100 ⇒ (1)

∵ Player 2 sold two houses and a car for $2300

x + 2 y = 2300 ⇒ (2)

Now we have system of equation to solve it

Multiply equation (1) by 2 to eliminate y

6 x - 2 y = - 200 ⇒ (3)

- Add equations (2) and (3)

∴ 7 x = 2100

- Divide both sides by 7

x = 300

A car is worth $300

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Please help!!
Which of the following theorems verifies that AGHIE AUVW?
А. HL
B. LL
C. НА
D. AA

Answers

Answer:

HL

Step-by-step explanation:

HL- If the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the triangles are congruent.

The theorem which verifies that ΔGHI is congruent to ΔUVW is LL.

What is Congruence of Triangles?

Two or more triangles are said to be congruent if and only if sides and angles of one triangle is equal to the corresponding sides and angles of another triangle.

Given are two triangles.

ΔGHI and ΔUVW.

Given that ∠G = ∠U = 90°.

So the triangles are right angled triangles.

The hypotenuse of the triangles are HI and VW.

Also given that, the legs of the triangles are equal.

Leg - Leg (LL) congruence theorem states that if the legs of a right triangles are equal to the legs of another right triangles, then the triangles are congruent.

Hence the theorem used is LL theorem.

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Find the sum of the first 10 terms of the following geometric sequences:
{3, 6, 12, 24, 48...)

Answers

Answer:

3069

Step-by-step explanation:

q=6/3=2

s10=3(2^10-1)÷(2-1)=3×(1024-1)=

3069

Which function has the same graph as x + y = 11? A. f(x) = -y + 11 B. f(x) = -x + 11 C. f(x) = x − 11 D. f(x) = y − 11

Answers

The real is B.) f(x) = -x + 11

A.) f(x) = -y + 11 is the wrong answer.

I have pictures to prove that they are the same in the graph as x + y = 11.

Hope this will help a lot more than the other answer.

Answer:

B.) f(x) = -x + 11

Step-by-step explanation:

Evaluate 5w-\dfrac wx5w− x w ​ 5, w, minus, start fraction, w, divided by, x, end fraction when w=6w=6w, equals, 6 and x=2x=2x, equals, 2.

Answers

Final answer:

The value of the expression 5w - (w/x) when w=6 and x=2 is 27.

Explanation:

The original expression given with the variables w and x is: 5w - (w/x). The question asks us to evaluate this expression when w=6 and x=2. So, we simply substitute w with 6 and x with 2 into the expression:

5*6 - (6/2) = 30 - 3 = 27

Therefore, the value of the expression 5w - (w/x) when w=6 and x=2 is 27.

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Students were asked to name their favorite sport. Seven students chose soccer, nine chose basketball, four chose baseball, and five chose tennis. Write the ratio in simplest form that compares the number of students
who chose tennis to the total number of students.

Answers

Answer:

Total number of students= 7+ 9+4+5= 25

Tennis: total= 5:25= 1:5 (simplify by dividing both sides by 5

Answer:

1:5

Step-by-step explanation:

First We Add The Number Of Students.

7+9+4+5=25

the students were divided into 5 kind of sports so it will be 5/25

5/25 means 1/5 and

1/5 means 1:5

Lily read 3 books in 4 months. What was her rate of reading in books per month?
Express your answer in simplest form.
How many books did she read per month

Answers

Answer:

She read 3/4 of a book each month.

Step-by-step explanation:

In order to find this, you divide the amount of books read by the amount of months. When doing this, you get 3/4. If you wanted to check, you can multiply this number of 4 to find the number of books she read. When you do this, you get three, which is correct.

What is the following following product 4 square 7 • 4 square root 7• 4 square root 7 •4 square root 7

Answers

Answer:

The value of product is 7.

Step-by-step explanation:

Since we have given that

4 square 7x4 square root 7x4 square root 7x4 square root 7

We need to find the product of the following terms:

We will apply the "law of exponents":

i.e.

(a^m)^n=a^{mn}

4 square 7x4 square root 7x4 square root 7x4 square root 7

=7 ^(1/4)4=7

Hence, the value of product is 7.

The value of product is 7.

What is product?

The term "product" refers to the result of one or more multiplications. For example, the mathematical statement would be read " times equals ," where is called the multiplier, the multiplicand and is their product.

Given is an expression, 4 square 7 • 4 square root 7• 4 square root 7 •4 square root 7

Converting into mathematical notation,

= [tex]\sqrt[4]{7} . \sqrt[4]{7} . \sqrt[4]{7} . \sqrt[4]{7} .[/tex]

We need to find the product of the following terms:

We will apply the "law of exponents":

(xᵃ)ᵇ = xᵃᵇ

[tex](\sqrt[4]{7})^4\\\\= (7^\frac{1}{4})^4\\\\= 7[/tex]

Hence, the value of product is 7.

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The results of a study indicated that the correlation between a measure of children's helping behavior and the number of friends they had was .80. This correlation indicates that a. helping behavior and number of friends are not related. b. helping behavior and number of friends are negatively related. c. the more helpful a child is, the more friends he or she has. Dad will cook the family a special Italian feast.Which is the indirect object?DadfamilyfeastItalian In his inaugural address on March 4, 1861, Lincoln made many pledges.Identify some of these promises made by the president-elect.Group of answer choices (MORE THAN ONE ANSWER NEEDED)A)He pledged to defend Fort Sumter and insisted he would not hesitate to use force against people anywhere.B)Lincoln insisted that the Union is perpetual and that no state could lawfully leave the Union.C)He pledged to continue seeking a peaceful solution to the conflict.D)He pledged not to obstruct the institution of slavery in states where it existed. Lee Associates borrowed $60,000. The company plans to set up a sinking fund that will pay back the loan at the end of 12 years. Assuming a rate of 8% compounded semiannually, the amount to be paid into the fund each period is_______ (use the tables in the handbook): A painter can paint a wall with an area of 3280 square feet with 8 gallons of paint which rate best represents the relationship between the area of the wall and the amount of paint needed If a total are of the chessboard is 144 square inches. What is the area of one shaded square. What is the total area of all the shaded squares and total area of all the white squares. Middle-aged people who lose their jobs may be discriminated against when trying to find a new job, which is not only illegal, but based upon misguided assumptions. All of the following statements are true about middle-aged workers EXCEPT________.a) older workers show less absenteeism than younger workers.b) older workers hold their jobs longer.c) older workers are less reliable.d) older workers are willing to learn new skills. What number is missing in the pattern?16, 8, _ , 2, 1 Scientist think colonies of Cyanobacteria called stromatolites were responsible for the introduction of oxygen into earths atmosphere ) true or false Trials in an experiment with a polygraph include 96 results that include 22 cases of wrong results and 74 cases of correct results. Use a 0.01 significance level to test the claim that such polygraph results are correct less than 80% of the time Based on the results should polygraph test results be prohibited as evidence in trials? Identify the null hypothesis, alternative hypothesis, test statistics, p value, conclusion about null hypotheses and final conclusion that address the original claim. Use the p value methos. Use the normal distribution as an approximation of the binomial distribution. A. I dentify the Null and alternative hypothesis B. The test staistic is z= (round to two decimals) C. The P value is=( rounds to four decimals) D. Identify the conclusion about the null hypotheses and the final conclusion that address the original claim. Choose (fail to reject, reject) h0. There choose(is, is not) sufficient evidence to support the claim that the polygraph result are correct less than 80% of time. answer H0: P 0.80 Ha: P < 0.80 Estimated p = 74 / 98 = 0.7551 Variance of proportion = p*(1-p)/n = 0.8(0.2)/98 =0.0016327 S.D. of p is sqrt[0.001633] = 0.0404 z = ( 0.7551 - 0.8 ) / 0.0404 = -1.1112 P-value = P( z < -1.1112) = 0.1335 Since the p-value is greater than 0.05, we do not reject the null hypothesis. Based on the results there is no evidence that polygraph test results should be prohibited as evidence in trials. 20 points for this question:Find the domain. When the concentration of PCl3(g) is increased to 1.2 M, the ratio of products to reactants is 4.0. The equilibrium constant for the reaction is 24. In which direction will the reaction shift to regain equilibrium? toward the reactants toward the products After watching a news story about a man struck by lightning on a golf course, you decide that you will never play golf to avoid being struck yourself. What is this thinking strategy called? (Temperature is negative) How many liters of NO2 (at STP) can be produced from 149 grams of Cu reacting with concentrated nitric acid, HNO3 (aq)?(The equation is balanced) Cu + 4 HNO3 Cu(NO3) 2 + 2 H2O + 2 NO263.55, 63.02, 187.57, 18.02, 46.01^ g/mol A woman is 1.6 m tall and has a mass of 50 kg. She moves past an observer with the direction of the motion parallel to her height. The observer measures her relativistic momentum to have a magnitude of 2.1 1010 kgm/s. What does the observer measure for her height? In macroeconomics courses in the 1960s and early 1970s, some economists argued that one of the U.S. political parties was willing to have higher unemployment in order to achieve lower inflation and that the other major political party was willing to have higher inflation in order to achieve lower unemployment. Such views of the trade-off between inflation and unemployment might have existed in the 1960s because the Phillips curve was widely viewed as A. upward sloping. B. vertical. C. stable. D. horizontal. Such views are rare today because A. both political parties agree that higher inflation is acceptable if it means lower unemployment. B. the Phillips curve has been found to be upward sloping. C. in the long run there is no tradeoff between inflation and unemployment. D. the Phillips curve is viewed as a policy menu and a stable relationship. Tom simplified an expression in three steps, as shown:Which is the first incorrect step and why? Step 1, all the exponents are increased by 4 Step 2, the exponents of the same base are added during multiplication Step 3, the exponents of the same base are subtracted during division Step 3, all the exponents are added during division What is the standard to slope intercept form 4x - 4y = -8 Which expression is equivalent to3(x + 6)?F. x + 3 + 6G. 3x + 6H. x+6J. 3x + 18 The price of an item yesterday was $140. Today, the price fell to $91. Find the percentage decrease.