What are the zeros of the function defined by the polynomial
x^2+7x+12

We expect to get the color green 10 times out of the 80.

The spinner is divided into 8 equal colors, so we can assume that each one of the 8 colors has the same probability of being spun.

This means that if we spin the spinner, the probability of getting the color green is p = 1/8.

So, in 80 tries, we will expect to get the color green a total of:

N = (1/8)*80 = 10

We expect to get the color green 10 times out of the 80.

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Answer:

The correct answer is P(green)=2/8 (80)

Step-by-step explanation:

Daniel’s spinner is divided into 8 equal sections.

A spinner divided into 8 equal sections labeled gray, green, red, purple, gray, green, yellow, blue.

As you can see there are 2 greens so it would be 2/8 since there are 8 pieces and 2 greens out of those 8.

HOPE THIS HELPS!

(I also did this on edge and got it correct)

The area of the shaded region is 75.5cm^2.

The radius of the inner circle=10cm

The radius of the outer circle=14cm

angle made by sector is 90 degrees.

[tex]A=\frac{\theta}{360}\times \pi r^2[/tex]

For an outer sector

[tex]Area of the sector=\frac{90}{360} \times \frac{22}{7} \times 14^2[/tex]

area of the sector=154cm^2

Now we have to find the area of the sector for the inner circle.

[tex]Area of the sector=\frac{90}{360} \times \frac{22}{7} \times 10^2[/tex]

Area of sector=78.5cm^2

Area of the shaded region =area outer sector - area of inner sector

Area of the shaded region=154-78.5.

Area of the shaded region75.5cm^2.

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Answer:

188

Step-by-step explanation:

I found and fixed my mistake sorry

Answer:

8/5x

Step-by-step explanation:

it's (-4,-4) and (1,4) so you subtract the y's getting 8. then you subtract the x's getting 5. y/x is the rule so you would get 8/5 or 8/5x as the slope/distance between points.

Using scientific notation, it is found that the number in standard notation is represented by:

[tex]74.94 \times 10^3 = 74940[/tex]

A number in scientific notation is given by:

[tex]a \times 10^b[/tex]

With the base being [tex]a \in [1, 10)[/tex].

In this problem, the number is given by:

[tex]74.94 \times 10^3[/tex]

Hence, applying the multiplication, we have that:

[tex]74.94 \times 10^3 = 74.94 \times 1000 = 74940[/tex]

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Answer:

  y = 15x

Step-by-step explanation:

The equation for direct variation is ...

  y = kx

where k is the constant of proportionality.

__

We can find k by dividing by x:

  y/x = k

Using the given values, we find it to be ...

  75/5 = k = 15

Using this value of k in the equation, we find the equation of direct variation is ...

  y = 15x

Using the binomial distribution, it is found that the desired values are given as follows:

a) 4.8 jurors.

b) The proportion is of 0.25.

c) 0.2254 = 22.54% probability.

The formula is:

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

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

The parameters are:

In this problem, we have that:

Item a:

The expected value of the binomial distribution is given by:

E(X) = np

Hence:

E(X) = 12 x 0.4 = 4.8 jurors.

Item b:

The proportion of 3 out of 12 is 3/12 = 1/4 = 0.25.

Item c:

The probability is given by:

[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)[/tex]

Then:

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

[tex]P(X = 0) = C_{12,0}.(0.4)^{0}.(0.6)^{12} = 0.0022[/tex]

[tex]P(X = 1) = C_{12,1}.(0.4)^{1}.(0.6)^{11} = 0.0174[/tex]

[tex]P(X = 2) = C_{12,2}.(0.4)^{2}.(0.6)^{10} = 0.0639[/tex]

[tex]P(X = 3) = C_{12,3}.(0.4)^{3}.(0.6)^{9} = 0.1419[/tex]

Then:

[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0022 + 0.0174 + 0.0639 + 0.1419 = 0.2254[/tex]

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a. The cost of the stock is $19

b.  Tanya Elliot paid total amount of $ 7629.95.

The cost of preferred stock to a company is effectively the price it pays in return for the income it gets from issuing and selling the stock.

a. It is given that , each share= $19.00

Total number of shares = 400

Price for 400 shares be,

= 400 x $19.00

= $7600.00

Cost of the stock= [tex]\frac{ 7600}{400}[/tex]

                            = $19

b. Total paid by Tanya = $7600.00 +$29.95

                                      = $7629.95

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An equation to represent the total cost of a job that takes "x" hours is "total cost = $50 + ($150 × x)". The situation can be described as linear.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given the cost of consulting is $50, while the cost of labour is $150 per hour.

A.) An equation to represent the total cost of a job that takes "x" hours.

Total cost = $50 + ($150 × x)

B.) Total cost is the labour works for 40 hours,

Total cost = $50 + ($150 × 40) = $6,050

C.) As found above the cost of working 40 hours is $6,050, therefore, the amount of $5,000 will not be enough.

D.) The situation can be described as linear.

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Answer:

=41

Step-by-step explanation:

X = 4 and y =5

6( [tex]4^{2} - 5[/tex]) - [tex]5^{2}[/tex]

= 6 (16-5) -25

= 6 (11)-25

= 66 -25

=41

A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The volume of the cylinder with a radius of 5 inches and a height of 16 inches is 1256 in³.

A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The circular bases' centres overlap each other to form a right cylinder.

Given the radius of the cylinder is 5 inches, while the height is 16 inches, therefore, the volume of the cylinder will be,

Volume of the cylinder = πr²h = π×(5)²×16 = 1,256.637 in³ ≈ 1,256 in³

Hence, the volume of the cylinder with a radius of 5 inches and a height of 16 inches is 1256 in³.

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Answer:

D. 1/4

since it is a vertical line x is always 1/4

Answer:

B. 5

Step-by-step explanation:

The range of a data set in statistics is the difference between the largest and the smallest values. While range does have different meanings within different areas of statistics and mathematics, this is its most basic definition, and is what is used by the provided calculator.

example, 2,10,21,23,23,38,38

38 - 2 = 36

Answer:

B. 5

Step-by-step explanation:

All you have to do is subtract the highest number by the smallest number so i just had to do:

8-3=5

Answer: 12 ÷ (7-4) + 5 × 3 = 19

Step-by-step explanation:

Answer:

12 ÷ (7-4) + 5 × 3 = 19

Step-by-step explanation:

Answer: Zeroes: 2.5 and 9.5   Vertex: (6, 12.25)

Step-by-step explanation:

:) Done on khan

Answer:

56

Step-by-step explanation:

We know that every triangle no matter will equal 180 degrees. So we will make an algebreic expression.

2x+8+60=180

When doing algebreic expression we want to simply as much as possible to find our answer. First we will do 60-180. Since the expression is adding 60 we want to do the opposite and subtract is by 60 on both sides. SO now we have 2x+8=120. We do the same thing with 8. Subtract it on  both sides since its adding in the expression. Now we have 2x=112. FInally, we will divide by two on both sides since its multiplying on the other side of the equation. So now we are left with x=56.

Step-by-step explanation:

Corresponding angles of similar figures are congruent.

Angles with vertex of same order number are corresponding.

Answer:

m∠U =97°

m∠V = 124°

m∠T = 102°

Step-by-step explanation:

As  TUVWX ~ BCDEF  then the corresponding interior angles are the same.

Therefore:

m∠T = m∠B = 102°

m∠U = m∠C = 97°

m∠V = m∠D = 124°

m∠W = m∠E = 101°

m∠X = m∠F = 116°

Answer:

Nominal Interest Rate: Does not consider inflation  provides a sense of  purchasing power

Real Interest Rate: It describes the stated interest rate on  an account  and also considers inflation

Step-by-step explanation:

Real interest rate  can be defined as the Nominal interest rate minus the inflation rate.

Nominal Interest Rate is the interest rate without taking into account the inflation

Answer:

NOMINAL INTEREST RATE:

1. The stated interest rate on an account.

2. Does not consider inflation.

3. Reflects the actual monetary amount earned

amount earned

REAL INTEREST RATE :

1. Considers inflation.

2. Reveals purchasing power.

3. Can be negative

Step-by-step explanation:

I literally just took this quiz and got them all correct.

Answer:

B, 25.9 pi

Step-by-step explanation:

360 - 170 = 190

r= 7

pi 7^2 = 49 pi

49/2 = 24.5 pi

24.5 + 1.4 = 25.9 pi

Answer:

38.5...............

Step-by-step explanation:

(11×7)/2.

The surface area of the pyramid is 96 ft²

The surface area of the square base prism is 552 ft²

The surface area of the cube is 216 ft²

The total surface area is 756 ft²

The surface area of the pyramid = A + 1/2 ps

where

Therefore,

A = 6² = 36 ft²

p = 4(6) = 24 ft

s = √3² + 4² = √9 + 16 = √25 = 5 ft

Hence,

The surface area of the pyramid = 36 + 1 / 2 × 24 × 5 = 96 ft²

The surface area of the square base prism = 2a² + 4ah

where

Therefore,

The surface area of the square base prism = 2(6)² + 4(6)(20) = 72 + 480 = 552 ft²

The surface area of the cube  = 6l² = 6 × 6² = 6 × 36 = 216 ft²

Total surface area = 96 + 552 + 216 = 864 - 36  - 36 - 36 = 756 ft²

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Answer: 1 . Is 96 square feet

2 . is 552 square feet

3 . 216 square feet

4 . 756 square feet

Step-by-step explanation:

Answer:

-5 is in the negatives, and 3 is positive, therefore greater than -5 three is greater than -5

A shape can only be classified as a polygon if:

We can see that the figure is opened. Therefore, the shape is not a polygon. According to (2), to classify a shape, a polygon, the shape must not be opened.

Therefore, this shape is not a polygon.

This shape is a polygon because it has no curves, it is not opened, and the sides of the shape are not forming an intersection.

Therefore, this shape is a polygon.

This figure has a side length intersecting another side length. Therefore, this figure is not a polygon. According to (3), to classify a shape, a polygon, the sides of the shape must not intersect each other.

Therefore, this shape is not a polygon.

This figure is not a polygon because a side length of the figure is curved. According to (1), To classify a shape, a polygon, there must be no curves in the shape.

Therefore, this shape is not a polygon.

Hence, Option B is correct.

Answer:

(1, 0 ) and (3, 6 )

Step-by-step explanation:

we are looking in the table for values of x that give both f(x) and g(x) the same value.

x = 1 → f(x) = g(x) = 0

x = 3 → f(x) = g(x) = 6

then the solutions to f(x) = g(x) are

(1, 0 ) and (3, 6 )

Answer:

1

3

Step-by-step explanation:

According to the table :

f(1) = 0 = g(1) ⇒ 1 is a solution to the equation f(x) = g(x)

f(3) = 6 = g(3) ⇒ 3 is a solution to the equation f(x) = g(x)

Answer:

$3.49

Step-by-step explanation:

If 1 yard = 3 foot

then A 2-yard piece of twine = 6-foot piece of twine.

20.94 per foot is 3.49

as 20.94/3.49.

thus the price per foot is $3.49

Answer:

$1,923.08.

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 6%/100 = 0.06 per year.

Solving our equation:

P = 2500 / ( 1 + (0.06 × 5)) = 1923.0769230769

P = $1,923.08

The principal investment required to get a total amount, principal plus interest, of $2,500.00 from simple interest at a rate of 6% per year for 5 years is $1,923.08.

Answer:

-18

Step-by-step explanation:

By opposite, I believe this is talking about the sign. Note that taking an absolute value of a number always results in a positive number.

|-18| = 18

Answer:

-18, 18

Step-by-step explanation:

Opposite means negative becomes positive, and positive becomes negative. Absolute value is distance from zero. It is 18 away from zero. Opposite of 18 is -18.