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krok68 [10]
3 years ago
8

In the upcoming election for governor, the most recent poll, based on 900 respondents, predicts that the incumbent will be reele

cted with 55 percent of the votes.
1. From the 900 respondents, how many indicated that they would not vote for the current governor or indicated that they were undecided?
O 495
O 405
O 450
O 400
Mathematics
1 answer:
Dmitriy789 [7]3 years ago
4 0

Answer:

405

Step-by-step explanation:

From the given information, we have 900 respondent.

The poll predicts that the incumbent will be reelected with 55 percent of the votes.

This implies that (100-55=45) percent of the respondents would not vote for the current governor or indicated that they were undecided.

Out of 900 respondents, we have

\frac{45}{100}  \times 900

= 45 \times 9 = 405

would not vote for the current governor or indicated that they were undecided.

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Write the systems of equations from the table below and find the solution?
Alecsey [184]

The system of equations is y = 4x - 3 and y = -1/3x + 4 and the solution is (21/13, 45/13)

<h3>How to determine the system of equations?</h3>

From the question, we have the table of values as the parameters that can be used in our computation:

From the table, we have

<u>Table 1</u>

(x, y) = (0, -3) and (4, 13)

A linear equation is represented as

y = mx + c

Where

Slope = m

c = y when x = 0

This means that

c = -3

So, we have

y = mx - 3

The point (4, 13) implies that

13 = m * 4 - 3

So, we have

4m = 16

m = 4

So, the equation is

y = 4x - 3

<u>Table 2</u>

(x, y) = (0, 4) and (4, 6)

A linear equation is represented as

y = mx + c

This means that

c = 4

So, we have

y = mx + 4

The point (4, 6) implies that

6 = m * 4 + 4

So, we have

4m = -2

m = -1/3

So, the equation is

y = -1/3x + 4

Substitute y = -1/3x + 4 in y = 4x - 3

-1/3x + 4 = 4x - 3

So, we have

-x + 12 = 12x - 9

Evaluate the like terms

13x = 21

Divide

x = 21/13

y = -1/3x + 4 implies that

y = -1/3 x 21/13 + 4

So, we have

y = -7/13 + 4

Evaluate

y = 45/13

So, the solution is (21/13, 45/13)

Read more about system of equations at

brainly.com/question/13729904

#SPJ1

5 0
2 years ago
Find the range of the function y=7x-1 when the domian is { -1,0,1}
Molodets [167]

Answer

x=1/7y+1/7

Step-by-step explanation:

y=7x−1

Step 1: Flip the equation.

7x−1=y

Step 2: Add 1 to both sides.

7x−1+1=y+1

7x=y+1

Step 3: Divide both sides by 7.

7x

7

=

y+1

7

x=

1

7

y+

1

7

Answer:

x=

1

7

y+

1

7

7 0
3 years ago
PLEASE HELP
Bezzdna [24]

Answer:

D. 3x-8=16

Step-by-step explanation:

Eight less (-8) than 3 times a number (3x) equals sixteen (16).

4 0
3 years ago
2. Mr. Spongebob told me that the measure of the angle below is 145 degrees. Is his answer correct? If not, explain your reasoni
Sedaia [141]

Answer:

no

Step-by-step explanation:

the arrow is between 140 and 130 so it will be 135. If it was between 140 and 150 then it could be 145 degrees.

5 0
3 years ago
Two less than three times a number is equal to 19. What is the number?
EastWind [94]

The best way to approach a word problem like this

is to break it down into pieces, so we can understand it fully.

In this problem, we have a number, which we don't know.

We can use any variable to represent it.

So let's use the variable <em>n</em> to represent it.

"Two less than three times a number" means 3n - 2.

A common mistake is for students to put 2 - 3n.

However, the word "less than" switches the order around.

So we have 3n - 2 = 19.

Solving from here, we add 2 to both sides to get 3n = 21.

Now divide both sides of the equation by 3 and we have n = 7.

So the number is 7.

8 0
3 years ago
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