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dolphi86 [110]
3 years ago
8

Given a circle with a diameter of 8, which equation expresses π as the ratio of the circumference of a circle to its diameter?

Mathematics
1 answer:
telo118 [61]3 years ago
6 0
Circumference = diameter x \pi = 8\pi
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Answer:

twenty apples dsghaggegubvtvxdd

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How do I simplify when there are fractions on fractions
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Answer: y/y+x

Step-by-step explanation: Reduce the fraction at the bottom (1 - x/y) (1 + x/y) = 1 + x/y = simplify and you get y/y+x

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3 years ago
A scatter plot is shown below: A graph shows numbers from 0 to 10 on the x axis at increments of 1 and the numbers 0 to 15 on th
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Answer:

B (0, 14) and (10, 1)

Step-by-step explanation:

Option A: (0, 14) and (10, 14)

Equation of line using two point slope form .

y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)

(x_1,y_1)=(0,14)

(x_2,y_2)=(10,14)

Substitute values in formula :

y-14=\frac{14-14}{`10-0}(x-0)

y-14=0(x-0)

y=14

Option B :  (0, 14) and (10, 1)

Equation of line using two point slope form .

y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)

(x_1,y_1)=(0,14)

(x_2,y_2)=(10,1)

Substitute values in formula :

y-14=\frac{1-14}{`10-0}(x-0)

y-14=\frac{-13}{10}(x-0)

y=\frac{-13}{10}x+14

Option C: (0, 7) and (7, 0)

Equation of line using two point slope form .

y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)

(x_1,y_1)=(0,7)

(x_2,y_2)=(7,0)

Substitute values in formula :

y-7=\frac{0-7}{`7-0}(x-0)

y-7=\frac{-7}{7}(x)

y= -x+7

Option D: (0, 7) and (3, 0)

Equation of line using two point slope form .

y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)

(x_1,y_1)=(0,7)

(x_2,y_2)=(3,0)

Substitute values in formula :

y-7=\frac{0-7}{`3-0}(x-0)

y-7=\frac{-7}{3}(x)

y=\frac{-7}{3}(x)+7

Now after plotting all the lines of given options on the graph of scatter plot we can see that the blue line y=\frac{-13}{10}x+14 of Option B  the is the line of best fit for this scatter plot Since it is covering almost all ordered pairs of scatter plot.

Hence two ordered pairs can be joined to best draw the line of best fit for this scatter plot are  (0, 14) and (10, 1)

Option B is correct.

5 0
3 years ago
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Rosters Chicken advertises​ "lite" chicken with​ 30% fewer calories than standard chicken. When the process for​ "lite" chicken
ella [17]

Correct question is;

Rosters Chicken advertises "lite" chicken with 30% fewer calories than standard chicken. When the process for "lite" chicken breast production is in control, the average chicken breast contains 450 calories, and the standard deviation in caloric content of the chicken breast population is 20 calories. Rosters wants to design an X-chart to monitor the caloric content of chicken breasts, where 25 chicken breasts would be chosen at random to form each sample. a) What are the lower and upper control limits for this chart if these limits are chosen to be four standard deviations from the target? b) What are the limits with three standard deviations from the target? Upper Control Limit (UCL)calories (enter your response as an integer).

Answer:

A)UCL = 466

LCL = 434

B)UCL = 462

LCL = 438

Step-by-step explanation:

We are given;

Mean;μ = 450

Standard deviation; σ = 20

Sample size; n = 25

A) We are told that these limits are chosen to be four standard deviations from the target.. This means that z-value = 4.

Thus, upper control limit will be the formula;

UCL = μ + 4σ/√n

UCL = 450 + 4(20)/√25

UCL = 450 + 16

UCL = 466

Lower control limit will be;

LCL = μ - 4σ/√n

LCL = 450 - 4(20)/√25

LCL = 450 - 16

LCL = 434

B) We are now told that these limits are chosen to be three standard deviations from the target.

Thus, z = 3

So;

UCL = μ + 3σ/√n

UCL = 450 + 3(20)/√25

UCL = 450 + 12

UCL = 462

Lower control limit will be;

LCL = μ - 3σ/√n

LCL = 450 - 3(20)/√25

LCL = 450 - 12

LCL = 438

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4 years ago
Becky has 785 tickets to trade for prizes. She picks a book that cost 27 tickets and a toy that cost 3 times as many tickets as
iren2701 [21]

Answer:

677

Step-by-step explanation:

785-27= 758

27*3= 81

758- 81= 677

I hope this helps!!!!

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3 years ago
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