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otez555 [7]
3 years ago
15

Which ordered pairs could be points on a line parallel to the line that contains (3, 4) and (–2, 2)? Check all that apply (–2, –

5) and (–7, –3) (–1, 1) and (–6, –1) (0, 0) and (2, 5) (1, 0) and (6, 2) (3, 0) and (8, 2)
Mathematics
2 answers:
Vika [28.1K]3 years ago
3 0

Answer:

The required ordered pairs are (–1,1) and (–6,–1),(0, 0) and (2, 5)  and (3, 0) and (8, 2).

Step-by-step explanation:

We know that parallel lines have equal slopes.

Slope of line that contains (3,4) and (-2,2)=

Given options are:-

  1. Slope of line that contains (–2,–5) and (–7,–3)=
  2. Slope of line that contains (–1,1) and (–6,–1) =
  3. Slope of line that contains (0, 0) and (2, 5)=
  4. Slope of line that contains (1,0) and (6,2) =
  5. Slope of line that contains (3, 0) and (8, 2)=

We can see Slope of line contains (–1,1) and (–6,–1), Slope of line that contains (0, 0) and (2, 5) and Slope of line that contains (3, 0) and (8, 2) have same slope as the given line.

Thus the required ordered pairs are (–1,1) and (–6,–1),(0, 0) and (2, 5)  and (3, 0) and (8, 2).

I hope this helped. I am sorry if you get this wrong.

Gnom [1K]3 years ago
3 0

Answer:

B(-1,1) and (-6,-1)

D(1,0) and (6,2)

E(3,0) and (8,2)

Step-by-step explanation:

Took the assignment

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In this question, you're solving the systems of equations.

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<em>Since the y's could cancel out, lets solve for x</em>

2x + y = 1

3x - y = -6

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Step-by-step explanation:

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3 years ago
The amount of calories consumed by customers at the Chinese buffet is normally distributed with mean 2984 and standard deviation
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Answer:

a. The distribution of X is normal.

b. The probability that the customer consumes less than 2863 calories is 0.4213

c. 42.01% of of the customers consume over 3107 calories

d. The fewest number of calories a person must consume to receive the Piggy award is 4131,41 calories.

Step-by-step explanation:

Let X be the calorie of a randomly chosen customer consumes.

a. The distribution of X is normal.

b. The probability that the customer consumes less than 2863 calories =P(x<2863)=P(z<z*) where z* is the z-statistic of X=2863 calorie.

z* can be calculated using the formula

(1) z*=\frac{X-M}{s} where

  • X =2863
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  • s is the standard deviation (610)

Then z*=\frac{2863-2984}{610} ≈−0.1984

And P(z<z*)=0.4213

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1 - the proportion of the customers consume less than 3107 calories.

= 1- P(z<z*) where z* is the z-statistic of X=3107 calorie.

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P(z>z*)=0.03 (3%) or P(z<z*)=0.97 gives z*= 1.881

From (1), we have the equation 1.881=\frac{X-2984}{610}

We get X= (1.881×610)+2984 =4131,41

The fewest number of calories a person must consume to receive the Piggy award is 4131,41 calories.

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