The table shows the results of a random survey about the mayor's performance. The mayor
is running for re-election. A total of 2,400 people are expected to vote in the election. Based
on the data, which is the most likely result?

Answer:

V = 1815 pi units ^3

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h

V = pi ( 11)^2 * 15

V = 1815 pi

Answer:

The expression is not factorable.

Step-by-step explanation:

Answer:

Step-by-step explanation:

B is correct..............

Step-by-step explanation:

Triangles HIJ and HCE are congruent

The letter I is the 2nd letter in HIJ. Similarly, the letter C is the 2nd letter in HCE.

Hence Angle I = Angle C (B).

Hey there!

This diagram shows two parallel lines (they will never intersect). This lines are crossed by another line called a transversal. This simple diagram can help us understand the nature of angles in our world.

The most important number to think about when it comes to this diagram is 180. A full circle is 360 degrees, and half of that is 180. Let's say that you are opening a shoe box. With the lid closed, there is no angle. If you open the lid straight up so that there is an L-shape, you have made a right angle, which is 90 degrees. If you open it so that it makes a line, you are now at 180 degrees. If you were to open the lid in a full circle, that would be 360 degrees, but the lid would probably break off!

We see that a straight line is a 180 degree angle. This means that 3y and the angle on the other side of the transversal right next to it (we'll call this angle A) should add up to equal 180 degrees. Angles that add up to equal 180 degrees are called supplementary angles. Looking again, we see that angle A and the 87 degree angle make up a straight line, so they are also supplementary. If 3y is supplementary with angle A and angle A is supplementary with 87, then 3y must be equal to 87. 3y and 87 are known as vertical angles because they are vertical of each other and meet at a point. Vertical angles are always congruent, so 3y is 87. We can just divide 87 by 3 to figure out what y is: 29.

There are also corresponding angles. These are angles that are the exact same but are in different places. For example, angle 87 is going to be the same thing as the supplementary angle to the bottom left of 3x because they are both to the left of the transversal and below the parallel line. Therefore, 3x is supplementary with 87. If you subtract 87 from 180, then you get 93. We divide by 3 to get x, giving us 31.

So, x=31 and y=29.

I hope that this helps! Have a wonderful day! :D

1. Area of a circle is pi x R^2

Area = 3.14 x 18^2

Area = 3.14 x 324= 1017.36 sq. In.

The blade covers 122 out of 360 degrees.

1017.36 x 122/360 = 345 square inches.

2.

Like above.

Area =3.14 x 75^2 = 17,662.5 square feet

17662.5 x 80/360 = 3,925 square feet.

Answer:

The value of the limit is 12.

Step-by-step explanation:

Small typing mistake, the limit is of h tending to 0.

Then

Calling the limit L

h is the common term in the numerator, then

Simplifying by h

Since h tends to 0.

Answer: 128

Work: I just did 4 to the power of 3 which is 64, and I did 8 to the power of 2 which is also 64. 64 + 64 = 128, which is the answer. I hope this helps, and stay safe. :)

Answer:

C is the answer?

Step-by-step explanation:

3)

4(5)+3x=24.50

20+3x=24.50

-20        -20

3x=4.50

/3      /3

x=$1.50

5)

4x+2(8)=56

4x+16=56

   -16   -16

4x=40

/4    /4

x=10 tables

7)

1(12)+6x=33

12+6x=33

-12        -12

6x=21

/6    /6

x=$3.5

The answer for part (3) is $1.5 each fry, answer for part (5) is 10 four-person table, and answer for part (7) is $3.5 each order of ice cream.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

3)

Let x be the cost of each fry.

4×5 + 3x = 24.50

20 + 3x = 24.50

3x = 4.5

x = $1.5 each fry

5)

Let x be the number of tables for a four-person.

Couple means two persons.

56 - 2×8 = 4x

4x = 40

x = 10 four-person tables

7)

Let x be the cost of each order of ice cream:

12 + 6x = 33

x = $3.5 each order of ice cream.

Thus, the answer for part (3) is $1.5 each fry, answer for part (5) is 10 four-person table, and answer for part (7) is $3.5 each order of ice cream.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ2

Answer:

No

Step-by-step explanation:

A: C = 60 + 0.15m (C is total cost and m is no. of miles)

B: C = 25d (d is no. of days)

For a weekend trip, there are 2 days.

This means that the cost for B is 2*$25, which is $50.

It doesn't matter how many miles are driven for A because the cost will always be at least $60.

This means that B is cheaper and that Jason is inaccurate.

Answer:

c. 0.0498

Step-by-step explanation:

First of all, let us find the number of four digit numbers possible.

There are 4 digits and let us have a look at the possibility of each digit.

Number of possible options for Unit's digit = 10

Number of possible options for ten's digit = 10

Number of possible options for hundred's digit = 10

Number of possible options for thousand's digit = 9 (because 0 can not be there to make it a 4 digit number)

Total number of possible outcomes = [tex]10\times 10\times 10\times 9 = \bold{9000}[/tex]

As per the given condition, unit's digit is 7.

So, number of possible options for unit's digit = 1

Number of possible options for thousand's digit = 8 (7 and 0 can not be there to make it a 4 digit number)

Number of possible options for hundred's digit = 8 (7 and one digit used in thousand's place can not be there)

Number of possible options for ten's digit = 7 (7, two digits used at thousand's and hundred's places)

Number of possible outcomes as per given conditions = [tex]1\times 8\times 8\times 7 = \bold{448}[/tex]

Formula for probability of an event E can be observed as:

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]

[tex]P(E) = \dfrac{448}{9000} =\bold{0.0498}[/tex]

Answer:

Step-by-step explanation:

Lol since there's 2 P's and 11 letters in MISSISSIPPI. Odds are 2/11.

Answer:

12.75$

Step-by-step explanation:

15$/100=0.15

0.15×15%=2.25

15$-2.25=12.75$

Answer:

C. 80

Step-by-step explanation:

5x10x.5=25

25x2=50

3x10=30

50+30=80

Answer:

C

Step-by-step explanation:

Split the shape into normal shapes such as a rectangle and two triangles

use there formulas for area for each shape

rectangle L x W

10 x 3 = 30

for triangles it’s side a times the base divided by 2

5 x 10 / 2 = 25

so it’s 50 because there is two triangles

add 50 and 30

so it’s 80ft so C

Answer:

40

Step-by-step explanation:

Answer:

27.5=2n OR 2n=27.5

Step-by-step explanation:

plug it in :)

Answer:

The range of the relation is:

Range R = {1, 2, 7}

Therefore, option B is true.

Step-by-step explanation:

Given the relation

Input                  Output

-4                            1

0                             7

2                             2

7                             7

Determining the domain:

Thus, the domain of the relation is:

Domain R = {-4, 0, 2, 7}

Determining the range:

Thus, the range of the relation is:

Range R = {1, 2, 7}

Therefore, option B is true.

Answer:

18 of the cakes are chocolate

Step-by-step explanation:

To get a percentage, you multiply by the decimal, which in this case is 0.15. 120 * 0.15 is 18.

Answer:

J 120

Step-by-step explanation:

6.

Triangles TUV and TWV are congruent triangles.

Angles U and W are corresponding angles, so they are congruent.

m<U = m<W

7x + 15 = 8x

Subtract 7x from both sides.

15 = x

m<U = 7x + 15 = 7(15) + 15 = 8(15) = 120

Answer: J 120

Given:

Two cards are drawn from a standard deck of 52 cards without replacement.

To find:

The probability that both cards selected for black.

Solution:

We know that,

Total number of cards = 52

Total number of red cards = 26

Total number of black cards = 26

[tex]\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}[/tex]

Probability of selecting first black card is

[tex]\text{Probability}=\dfrac{26}{52}[/tex]

[tex]\text{Probability}=\dfrac{1}{2}[/tex]

Number of remaining total cards = 52-1 = 51

Number of remaining black cards = 26-1 = 25

Probability of selecting second black card is

[tex]\text{Probability}=\dfrac{25}{51}[/tex]

So, the probability that both cards selected for black is

[tex]\text{Probability}=\dfrac{1}{2}\times \dfrac{25}{51}[/tex]

[tex]\text{Probability}=\dfrac{25}{102}[/tex]

Therefore, the required probability is [tex]\dfrac{25}{102}[/tex].

9514 1404 393

Answer:

  (W, T, L, S) = (3, 2, 1, 4.1)

Step-by-step explanation:

For some number of wins (W), ties (T), and losses (L), the player's score will be ...

  score = 2.2W +0.25T -3L

For 3 wins, 2 ties, and 1 loss, the player's score is ...

  2.2(3) +0.25(2) -3(1) = 6.6 +0.5 -3 = 4.1

Answer:

Option D

Step-by-step explanation:

Whenever we take a square root of a number the ± sign is with it like here in the question

[tex]x^2=20\\\\Apply\ square\ root\ on\ both\ sides\\sqrt{x^2}=\sqrt{20} \\\\The\ square\ cancels\ out\ with\ the\ root\x=\sqrt{20}[/tex]

And then x = ±4.47 which means x has two values one is +4.47 and the other is -4.47 so Option D is our answer.

Answer:

D

Step-by-step explanation:

Answer:

number 1  anwser 110

Step-by-step explanation:

Answer:

2 * x - 2

Step-by-step explanation:

If you double something on one side, you have to do it on the other side

So you can do this for any problem, and it will be equivalent to the original expression :D

Answer:

Step-by-step explanation:

60% = 7.2/12

83% = 10/12

He improved by a supposed 23%

Answer:

This describes a translation.