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Alexus [3.1K]
2 years ago
6

What is the y-intercept of the line y = 2/3x + 2?

Mathematics
2 answers:
vlada-n [284]2 years ago
8 0

Answer: 2

Step-by-step explanation:

From the equation y=mx+c

m is the slope and c is the y intercept of the the line which is y

So y=(2/3)x +2

m=2/3

c= 2

Andrej [43]2 years ago
3 0

Answer:

2

Step-by-step explanation:

y=mx+b

m is slope b is the y-intercept

so in y=2/3x+2

2/3 is the slope

2 is the y-intercept

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Triana buys new furniture for $4200 and puts it on her credit card.She will pay 18% interest for 18 months and must make monthly
DerKrebs [107]

Answer:

$623.64

Step-by-step explanation:

To determine the money she could have saved if she paid the furniture in full, you have to determine the total amount she will pay when she completes the 18 payments and subtract the price of the furniture from that:

Total amount= 267.98*18

Total amount=4,823.64

$4,823.64-$4,200= $623.64

She have saved $623.64 if she paid for the furniture in full.

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3 years ago
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3 years ago
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A civil engineer is analyzing the compressive strength of concrete. Compressive strength is normally distributed with A random s
wel

Answer:

95%: (3278.354 ; 3270.083)

99% : (3221.646 ; 3278.354)

Step-by-step explanation:

Given :

Sample size, n = 12

Mean, xbar = 3250

Sample standard deviation = √1000

The 95% confidence interval :

Mean ± Margin of error

Margin of Error = Tcritical * s/√n

Tcritical at 0.05, df=12-1 = 11 ;

Tcritical at 95% = 2.20

Hence,

Margin of Error = (2.20 * √1000/√12) = 20.083

Confidence interval : 3250 ± 20.083

Lower boundary = 3250 - 20.083 = 3229.917

Upper boundary = 3250 + 20.083 = 3270.083

2.)

The 99% confidence interval :

Mean ± Margin of error

Margin of Error = Tcritical * s/√n

Tcritical at 0.01, df=12-1 = 11 ;

Tcritical at 99% = 3.106

Hence,

Margin of Error = (3.106 * √1000/√12) = 28.354

Confidence interval : 3250 ± 28.354

Lower boundary = 3250 - 28.354 = 3221.646

Upper boundary = 3250 + 28.354 = 3278.354

3 0
3 years ago
The Lewis family and the Perry family each used their sprinklers last summer. The water output rate for the Lewis family's sprin
Rashid [163]

The Lewis family and the Perry family each used their sprinklers last summer. The water output rate for the Lewis family's sprinkler was 15 L per hour. The water output rate for the Perry family's sprinkler was 40 L per hour. The families used their sprinklers for a combined total of 65 hours, resulting in a total water output of 1850 L . How long was each sprinkler used

Answer:

Hours of use of sprinkler by Lewis family is 30 hours.

Hours of use of sprinkler by Perry family is 35 hours.

Step-by-step explanation:

Let W = hours of use by Lewis family

65 - W = hours of use by Perry family

Then;

15W + 40*(65 - W) = 1850

15W + 2600 - 40W = 1850

(15 - 40)W = 1850 - 2600

-25W = −750

W = 750/25 = 30

Therefore;

W = 30

65 - W = 65 - 30 = 35

Hence,

Hours of use by Lewis family is 30 hours.

Hours of use by Perry family is 35 hours.

3 0
3 years ago
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pav-90 [236]

Answer:

The diagonal of the base is 4√5 centimeters.

The area of a base is 40 square centimeters.

The area of a lateral side between the bases is about 126.5 square centimeters.

Step-by-step explanation:

7 0
3 years ago
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