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Bogdan [553]
3 years ago
12

PLZ HELP, GIVING BRAINLIEST, LOOK AT THE PIC FOR GRAPH!!

Mathematics
2 answers:
Darina [25.2K]3 years ago
7 0

Answer:

The answer to your question is letter C

Step-by-step explanation:

From the graph, we get the center and the radius

- The center is the point shown in the graph and its coordinates are (2, -1).

- The length of the radius is 4 units, from the center we count horizontally the number of squares (4)

Substitution

                    (x - 2)² + (y + 1)² = 4²

or                 (x - 2)² + (y + 1)² = 16

Tatiana [17]3 years ago
4 0

Answer:

A or B

Step-by-step explanation:

Because of the negtive 1

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L= WxH try that formula
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B

Step-by-step explanation:

Because the numbers are less than 45 and more than 40

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A magician asks two volunteers to each draw a card from a standard deck of cards. What is the probability that the first card is
mars1129 [50]

Answer:

6.37%

Step-by-step explanation:

A deck of cards have 52 cards.  There are 4 suits of 13 card each, those suits are Hearts, Clubs, Diamond and Spades.

The probability that the first card is a heart is:

P(Hearts) = \frac{13}{52}

Now, the probabily that the second card is a diamond is:

P(Diamond | First card is Heart) = \frac{13}{51}

The Probability that the first card is a heart and the second one a diamond is given by:

P(Hearts)×P(Diamond | First card is Heart)

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3 years ago
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Jensen Tire &amp; Auto is in the process of deciding whether to purchase a maintenance contract for its new computer wheel align
sasho [114]

Answer:

Step-by-step explanation:

Hello!

The given data corresponds to the variables

Y:  Annual Maintenance  Expense ($100s)

X: Weekly Usage  (hours)

n= 10

∑X= 253; ∑X²= 7347; \frac{}{X}= ∑X/n= 253/10= 25.3 Hours

∑Y= 346.50; ∑Y²= 13010.75; \frac{}{Y}= ∑Y/n= 346.50/10= 34.65 $100s

∑XY= 9668.5

a)

To estimate the slope and y-intercept you have to apply the following formulas:

b= \frac{sumXY-\frac{(sumX)(sumY)}{n} }{sumX^2-\frac{(sumX)^2}{n} } = \frac{9668.5-\frac{253*346.5}{10} }{7347-\frac{(253)^2}{10} }= 0.95

a= \frac{}{Y} -b\frac{}{X} = 34.65-0.95*25.3= 10.53

^Y= a + bX

^Y= 10.53 + 0.95X

b)

H₀: β = 0

H₁: β ≠ 0

α:0.05

F= \frac{MS_{Reg}}{MS_{Error}} ~~F_{Df_{Reg}; Df_{Error}}

F= 47.62

p-value: 0.0001

To decide using the p-value you have to compare it against the level of significance:

If p-value ≤ α, reject the null hypothesis.

If p-value > α, do not reject the null hypothesis.

The decision is to reject the null hypothesis.

At a 5% significance level you can conclude that the average annual maintenance expense of the computer wheel alignment and balancing machine is modified when the weekly usage increases one hour.

b= 0.95 $100s/hours is the variation of the estimated average annual maintenance expense of the computer wheel alignment and balancing machine is modified when the weekly usage increases one hour.

a= 10.53 $ 100s is the value of the average annual maintenance expense of the computer wheel alignment and balancing machine when the weekly usage is zero.

c)

The value that determines the % of the variability of the dependent variable that is explained by the response variable is the coefficient of determination. You can calculate it manually using the formula:

R^2 = \frac{b^2[sumX^2-\frac{(sumX)^2}{n} ]}{[sumY^2-\frac{(sumY)^2}{n} ]} = \frac{0.95^2[7347-\frac{(253)^2}{10} ]}{[13010.75-\frac{(346.50)^2}{10} ]} = 0.86

This means that 86% of the variability of the annual maintenance expense of the computer wheel alignment and balancing machine is explained by the weekly usage under the estimated model ^Y= 10.53 + 0.95X

d)

Without usage, you'd expect the annual maintenance expense to be $1053

If used 100 hours weekly the expected maintenance expense will be 10.53+0.95*100= 105.53 $100s⇒ $10553

If used 1000 hours weekly the expected maintenance expense will be $96053

It is recommendable to purchase the contract only if the weekly usage of the computer is greater than 100 hours weekly.

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Answer:

"How much did Wang Yong pay each month" answer: $170

"How long did it take Wang Yong to pay back his entire debt?" answer: 50 months

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