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DaniilM [7]
3 years ago
14

Solve each equation

Mathematics
1 answer:
Darya [45]3 years ago
7 0

Answer:

r= 0

r= 1

b= -3

x= -3

Step-by-step explanation:

4r-8r=0

-4r=0

r=0

-15=-8r-7r

-15= -15r

r=1

3b+7-1=-3

3b= -3-7+1

3b= -9

b= -9/3

b=-3

3x+1-6x=7

-3x= 7-1

-3x= 6

x= -6/3

x= -3

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9. Your mathematics instructor claims that, over the years, 88% of his students have said that math is their favorite class. In
Tatiana [17]

Answer:

Step-by-step explanation:

For the null hypothesis,

H0: p = 88

For the alternative hypothesis,

Ha: p < 88

Considering the population proportion, probability of success, p = 0.88

q = probability of failure = 1 - p

q = 1 - 0.88 = 0.12

Considering the sample,

Sample proportion, P = x/n

Where

x = number of success = 21

n = number of samples = 32

P = 21/32 = 0.66

We would determine the test statistic which is the z score

z = (P - p)/√pq/n

z = (0.66 - 0.88)/√(0.88 × 0.12)/32 = - 3.83

The corresponding p value would be determined by looking at the normal distribution table for the area below the z score. Therefore,

P value = 0.00006

8 0
3 years ago
Solve the equation. Check for extraneous solutions. Type your answers in the blanks. Show your work. |4x+3| = 9+2x
GaryK [48]

Answer:

Step-by-step explanation:

|4x + 3| = 9 + 2x

We see the absolute value so we have to consider 2 cases:

(1)

4x + 3 = -9 - 2x

6x = -12

x = -2

(2)

4x + 3 = 9 + 2x

2x = 6

x = 3

Let's plug in both results.

|4(-2) + 3| = 9 + 2(-2)

|-5| = 9 - 4

5 = 5

Therefore x = -2 is a solution

|4(3) + 3| = 9 + 2(3)

|15| = 9 + 6

15 = 15

Therefore x = 3 is also a solution.

3 0
3 years ago
A piece of paper is 11 inches long and 8.5 inches wide. What is the area of the paper in square centimeters? (Please show work!)
goldenfox [79]
If you would like to know what is the area of the paper in square centimeters, you can calculate this using the following steps:

1 inch equals to 2.54 centimeters.

11 inches = 11 * 2.54 = <span>27.94 centimeters long
8.5 inches = 8.5 * 2.54 = </span><span>21.59 centimeters wide

11 inches long * 8.5 inches wide = 27.94 centimeters long * 21.59 centimeters wide = </span>27.94 * 21.59 = 603.22 square centimeters
<span>
The correct result would be </span>603.22 square centimeters.<span>
</span>
3 0
3 years ago
Line a passes through that point (-8,-7) and has a slope of 5/8. Choose the equation that best represents A
GuDViN [60]

Answer:

y = 5/8 x -2

Step-by-step explanation:

Given that the slope of the line, m=5/8, which passes through the point (-8,-7).

Let the equation of the line be y=mx+c

where m is the slope of the line and c is a constant.

As m=5/8, so the equation of line become

y= 5/8x+c

As the line passes through the point (-8,-7), so putting y= -7 and x= -8, we have

-7 = 5/8(-8)+c

-7 = -5 + c

c= -7 + 5

c= -2

On putting the value of c, the equation of line become

y=5/8 x -2

Hence, the equation of the line is y = 5/8 x -2.

5 0
3 years ago
What is the slope of a line that is perpendicular to the line who’s equation is y=4/5x-3
alexandr402 [8]

This line y = 4/5 x - 3 has slope = 4/5

Perpendicular lines, slope is opposite and reciprocal so slope of a line that is perpendicular to the line y = 4/5 x - 3 is -5/4

Answer

- 5/4

8 0
3 years ago
Read 2 more answers
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