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son4ous [18]
2 years ago
5

Determine the y intercept of the graph y-7 =3(x+5) rearrange in slope intercept form

Mathematics
2 answers:
MatroZZZ [7]2 years ago
8 0

Answer:

y = 3x + 22

Step-by-step explanation:

y - 7 = 3(x+5)

Distribute,

y - 7 = 3x + 15.

Add 7 to both sides.

Final answer, y = 3x + 22.

Hope this helps!

beks73 [17]2 years ago
7 0

Answer:

22

Step-by-step explanation:

Remove the brackets on the right.

y - 7 = 3x + 15

Add 7 to both sides.

y - 7 + 7 = 3x + 15 + 7

y = 3x + 22

The y intercept occurs when x = 0

y = 3*(0) + 22

y = 22

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Exhibit: Department Store.
aalyn [17]

Answer:

Step-by-step explanation:

Considering the central limit theorem, the distribution is normal since the number of samples is large.

Confidence interval is written in the form,

(Sample mean - margin of error, sample mean + margin of error)

The sample mean, x is the point estimate for the population mean.

Confidence interval = mean ± z × σ/√n

Where

σ = population standard Deviation

σ/√n = sample standard deviation

Confidence interval = x ± z × σ/√n

1) x = $75

σ = $24

To determine the z score, we subtract the confidence level from 100% to get α

α = 1 - 0.96 = 0.04

α/2 = 0.04/2 = 0.02

This is the area in each tail. Since we want the area in the middle, it becomes

1 - 0.02 = 0.98

The z score corresponding to the area on the z table is 2.05. Thus, confidence level of 96% is 2.05

Confidence interval = 75 ± 2.05 × 24/√64

= 75 ± 2.05 × 3

= 75 ± 6.15

The lower end of the confidence interval is

75 - 6.15 = 68.85

The upper end of the confidence interval is

75 + 6.15 = 81.15

2) n = 400

x = $75

σ = $24

z = 2.05

Confidence interval = 75 ± 2.05 × 24/√400

= 75 ± 2.05 × 1.2

= 75 ± 2.46

The lower bound of the confidence interval is

75 - 2.46 = 72.54

The upper bound of the confidence interval is

75 + 2.46 = 77.46

3) n = 400

x = $200

σ = $80

The z score corresponding to the confidence level of 94% is 1.88

z = 1.88

Confidence interval = 200 ± 1.88 × 80/√400

= 200 ± 1.88 × 4

= 200 ± 7.52

Margin of error = 7.52

7 0
3 years ago
Evaluate each expression if a = 4.1, b = 5.7, and c=0.3.<br> 4. a+b-c <br> 5. 10-(a+b)<br> 6. B- c+2
posledela

Answer:

  • a+b-c = 9.5
  • 10-(a+b) = 0.2
  • b-c+2 = 7.4

Step-by-step explanation:

4)

Given the expression

a+b-c

  • a=4.1
  • b=5.7
  • c=0.3

substituting the values in the expression

a+b-c = 4.1+5.7-0.3

          =  9.8 - 0.3

          = 9.5

5)

Given the expression

10-(a+b)

  • a=4.1
  • b=5.7
  • c=0.3

substituting the values in the expression

10-(a+b) = 10 - (4.1+5.7)

              = 10 - 9.8

              = 0.2

6)

Given the expression

b-c+2

  • a=4.1
  • b=5.7
  • c=0.3

substituting the values in the expression

b-c+2 = 5.7 - 0.3 +2

          = 5.4 + 2

           = 7.4

7 0
2 years ago
Let's consider the time as a discrete variable with an increment of 1 minute. You arrive at a bus stop at 10 AM, knowing that th
Dafna11 [192]

Answer:

a) 2/3

b) 1/3

Step-by-step explanation:

Let X be the random event that measures the time you will have to wait.  

Since time is uniformly distributed between 10 and 10:30 in intervals of 1 minute

P(n < X ≤ n+1) = 1/30 for every minute n=0,1,...29.

a)

P( X > 10) = 1 - P(X ≤ 10) = 1 - 10/30 = 2/3

b)

P(10 <  X ≤ 20) = (20-10)/30 = 1/3

7 0
2 years ago
What is the probability that the roll of a six-sided die will be either even or odd? A) 1 6 B) 1 4 C) 1 2 D) 1
Step2247 [10]

Answer:

D) 1

Step-by-step explanation:

Every whole number (including the ones on a die) are either even or odd, nothing else. So it is guaranteed for the number to be even or odd.

6 0
2 years ago
Read 2 more answers
What is 2 16/99 as a decimal
Serggg [28]
2 16/99 as decimal should be:
2 + (16/99) = 2 +0.17 = 2.17
6 0
3 years ago
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