m = − 6 ; n = 2 ; p = 4 − 3 m 2 + 4 n − p

9514 1404 393

Answer:

  A.  2,144.66 in³

Step-by-step explanation:

The formula for the volume of a sphere is ...

  V = (4/3)πr³

The radius is half the diameter, so this can be written in terms of diameter as ...

  V = (4/3)π(d/2)² = (π/6)d³

For a diameter of 16 inches, the volume is ...

  V = (π/6)(16 in)³ ≈ 2,144.66 in³

Answer:

3(3x + 3) - 5x - 4 = 25

9x + 9 - 5x - 4 = 25

9x - 5x - 4 = 16

4x - 4 = 16

4x = 20

x = 5

Answer:

0.4460 = 44.60% probability that none of the 8 surnames of these authors were among the 10 most common

Step-by-step explanation:

For each surname, there are only two possible outcomes. Either they are among the 10 most common, or they are not. Each author is independent of each other. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

These names account for 9.6% of all U.S. residents.

This means that [tex]p = 0.096[/tex]

8 authors in total.

This means that [tex]n = 8[/tex]

What is the probability that none of the 8 surnames of these authors were among the 10 most common

This is [tex]P(X = 0)[/tex]. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{8,0}.(0.096)^{0}.(0.904)^{8} = 0.4460[/tex]

0.4460 = 44.60% probability that none of the 8 surnames of these authors were among the 10 most common

Answer:

something like f(t)=t+3

Step-by-step explanation:

Answer:

A ; D ; B ; D

Step-by-step explanation:

Given the data:

Dependent Independent

Variable Variable

Y ___ X

5 __ 15

7 __ 12

9 __ 10

11 __ 7

The general regression equation is of the form /

Y = B0 + BiX

Y = dependent variable ; B0 = intercept ` B1 = slope ; X = independent variable

Using calculator, the model obtained for the model is :

Y = 16.41176 - 0.7647x

Hence,

Least square estimate for b1 = - 0.7647

Least square estimate for b0 = 16.41176

Correlation Coefficient (R) = - 0.99705

The Coefficient of determination (R²) = - 0.99705^2 = 0.994108

.

Step-by-step explanation:

756 = 2² * 3³ * 7.

For 756n to be a perfect cube, all of its prime factors must have a power that is a multiple of 3.

How to get from 2² to 2³: Multiply by 2.

3³ has already a power that is a multiple of 3.

How to get from 7 to 7³: Multiply by 7².

Hence n = 2 * 7² = 98.

Answer:

BC ≈ 1.40

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Trigonometry

Step-by-step explanation:

Step 1: Identify

Angle θ = 35°

Opposite Leg BC = x

Adjacent Leg AC = 2

Step 2: Solve for x

Tangent (Angle) = Opposite side / adjacent side

Tangent(35) = BC/2

Multiply both sides by 2:

BC = 2 x Tangent(35)

BC = 1.40042

Rounded to nearest hundredth:  BC =  1.40

Answer:

Part A - 17 full weeks

Part B - 8 hours and 30 minutes

Step-by-step explanation:

Key skills needed: Rate of change, Equation Creating & Solving

PART A

1) We need to make an equation for the amount of money Patrick saves each week. He earns $6.00 and then spends $2.00

Since he saves the rest, the amount of money he saves each week is

---> $6.00 - $2.00 = $6 - $2 = $4

2) Since Patrick saves $4 a week, let's say that the number of weeks is "[tex]w[/tex]"

Since the game costs $68 we can make the equation

--> [tex]4w = 68[/tex]

4 is the money he saves each week.

w is the number of weeks he saves

68 is the cost of the game

3) Divide by 4 on both sides and you will get --> [tex]w = 17[/tex]

(68 divided by 4 is equal to 17)

Therefore 17 full weeks is your answer.

Part B

1) Patrick earns 4 dollars for each lawn mowed. Each lawn takes 30 minutes to mow.

30 minutes is half an hour ---> This means that for each hour he would be making $8 (since $4 x 2 = $8)

2)  So if we say the number of hours is "[tex]h[/tex]", the equation we can make is

---> [tex]8h = 68[/tex]

8 is the money he makes per hour

h is the number of hours he mows the lawns

68 is the cost of the game he wants to buy for his friend

3) Divide both sides by 8 and you will get

--> [tex]h = 8.5[/tex]

(68 divided by 8 is 8.5 (8 and a half))

This means that he needs to mow lawns for 8.5 hours in order to buy the video game for his friend.

8.5 hours is the same as 8 hours and 30 minutes, which is the answer.

Hope you understand and have a nice day!! :D

12x42=504

504 cents earned every day when 42 papers are delivered

For a week= 504x7

3528cents

Answer:

3,528 cents = 35 dollars and 28 cents

Step-by-step explanation:

She earns 12 cents for each paper delivered.

=> She earns: 12 x 42 = 504 cents a day

=> She earns: 12 x 42 x 7 = 3528 cents in 1 week.

That is probably the answer you're expecting.

But you shouldn't.

One customer might need more than 1 paper a day, so there's no clear answer to your question.

Answer:

ST = 8 m

Step-by-step explanation:

Since both triangles are congruent to each other, therefore their corresponding angles and corresponding side lengths would be equal to each other accordingly.

Side ST in ∆STU corresponds to side PQ in ∆PQR. ST = PQ.

Side PQ = 8 m

Therefore, side ST = PQ = 8 m

Answer:

beesechurger

Step-by-step explanation:

Answer:

in the picture above

Step-by-step explanation:

I hope that it's a clear solution and explanation.

Answer:d

Step-by-step explanation:

Answer:

The answer is C

Answer:

A

Step-by-step explanation:

y=4(x+5)+2

y=4x+20+2

y=4x+22

The Y-intercept is going to be 22, so we can already eliminate D and C. and so the difference between A and B is that B is a negative line and A is not. And since the slope is not negative in the equation, B cannot be the answer, so A is the answer.

Answer:

The answer is point Q

Step-by-step explanation:

Answer:

-6.08 or 6.08

Step-by-step explanation:

Answer:

[tex]\displaystyle 31[/tex]

Step-by-step explanation:

Angles Y and X form a linear pair, therefore you use the Linear Pair Theorem to solve for x:

[tex]\displaystyle 180° = [2s - 4]° + [s + 91]° → 180° = [87 + 3s]° → 93 = 3s; 31 = s[/tex]

I am joyous to assist you at any time.

Answer:

20000÷20= the amount you need for the income price is 16000

Answer:

Step-by-step explanation:

Operating Income=$44,500−$2,500=$42,000.

So Guy will be taxed 10% on $20,000 and 20% on $(42,000−20,000)=$22,000, hence

Total Tax=10%×$20,000+20%×$(42,000−20,000)=$6,400.

Answer:

C

Step-by-step explanation:

Glad I could help!

Answer:

c

Step-by-step explanation:

rise/run

-20/2=-10 for the slope

Answer:

(29x + 9)

Step-by-step explanation:

Perimeter of a polygon = Sum of measures of all sides of the polygon

Therefore, Perimeter of the given polygon = (9 + 12x + 2x + 2x + 12x + x)

                                                                       = (9 + 29x)

Expression (29x + 9) will represent the perimeter of the polygon.

Answer:

$75

Step-by-step explanation:

(45 / 3) x 5 = 75

To find the amount of money for each t-shirt, divide 45 by 3.

45 / 3 = 15

To find out the price of 5 t-shirts, multiple 15 by 5.

15 x 5 = $75

$75 is your answer :)

Answer:

The stock lost $14 in 7 days

Step-by-step explanation: I know how to multiply.

The total change in the value of the stock over the seven days is $14 if the price of a stock decreased $2 each day for seven consecutive days.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that are +, -, ×, and ÷.

It is given that:

The price of a stock by decreased $2 each day for seven consecutive days

The price of a stock decreased by $2 per day for seven consecutive days.

Each day the cost is decreased by $2

Therefore, in 7 days the total reduction in cost is: 7×2= $ 14

So, the total change in the value of the stock is:  -$ 14.

The total change in the value of the stock over the seven-day period is:

It decreased by $ 14

Thus, the total change in the value of the stock over the seven days is $14 if the price of a stock decreased $2 each day for seven consecutive days.

Learn more about the arithmetic operation here:

brainly.com/question/20595275

#SPJ2

Answer:

3) 21/60= 0.35

4) 5/4= 1.25

5) 9/15= 0.6 or 2/3

6) 378/15= 25.2 or 25 and 1/5

7) 1 1/2/ 2/3= 2.5

8) 28 1/3 / 3 1/3= 8.5

Step-by-step explanation:

hope this helps!

mark me brainliest please!

Answer:

<CGD

Step-by-step explanation:

Since m<CGB = right angle = 90°, therefore:

m<CGE = 90° (linear pair angles)

Complementary angles add up to 90°.

Thus, m<CGD + m<DGE = m<CGE = 90°.

Therefore, the angle that is complementary to <DGE is <CGD

Answer:72

Step-by-step explanation:

Answer:

3(4 + 3 + 17)

Step-by-step explanation:

The greatest common factor of the three numbers is 3. The equation would then become 3(4 + 3 + 17)

Answer:

The equation for line k is [tex]y = -2x + 6[/tex]

Step-by-step explanation:

The equation of a line has the following format:

[tex]y = mx + b[/tex]

In which m is the slope.

When two lines are perpendicular, the multiplication of their slopes is -1.

The equation for line j can be written as y =1/2x-1

Since k is perpendicular to j, and the slope of j is 1/2, the slope of k is:

[tex]\frac{1}{2}m = -1[/tex]

[tex]m = -2[/tex]

So

[tex]y = -2x + b[/tex]

It passes through the point (6,-6).

This means that when [tex]x = 6, y = -6[/tex]. So

[tex]y = -2x + b[/tex]

[tex]-6 = -2(6) + b[/tex]

[tex]b = 6[/tex]

So

[tex]y = -2x + 6[/tex]

Answer: 120% is 1.2 in decimal form.

215% 2.15

345%  345

450% 4.50

51% 0.51

63% 0.63

75% 0.75

86$ 0.86

Step-by-step explanation:

Answer:

Please check the explanation.

Step-by-step explanation:

Given the set B

Analysis of the elements in the set B

We can check that each element in set B is a square of a whole number.

Therefore, we conclude that:

B = { square numbers less than 30 }.

or

B = {m/m is square of a whole number; [tex]0 \leq m \leq 5[/tex] }

Answer:

1/4

Step-by-step explanation:

As 4 units move to the right, 1 unit goes up. Using the formula for slope:

Rise / Run

The gradient of the blue line is 1/4 or 0.25