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VMariaS [17]
2 years ago
11

Line a goes through the points (- 3, 4) and (1, 2) . Line b goes through the point (6, 2) and (8, 1) . Are lines a and b paralle

l, perpendicular, or neither?
Mathematics
2 answers:
attashe74 [19]2 years ago
8 0

Answer:

Step-by-step explanation:

(-3,4) (1,2)

difference is (y2 - y1) /( x2 - x1)

-2 / -4

-1/2 is the slope

(6,2) (8,1)

same as the last

-1 / 2

these lines have the same slope so they are parallel, if their slopes were reciprocals (-1/2 and 2) they would be perpendicular.

allochka39001 [22]2 years ago
7 0

Answer:

They are parallel

Step-by-step explanation:

Find slope of point A

(-3,4), (1,2)

2-4=-2 1-(-3)=4

slope of a= -2/4 or -1/2

Find slope of point B

(6,2), (8,1)

1-2=-1, 8-6=2

slope of b= -1/2

Both have different slopes, and it can't be perpendicular because they have different denominator values.

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Twenty-three percent of automobiles are not covered by insurance (CNN, February 23,2006). On a particular weekend, 35 automobile
Bingel [31]

Answer:

Step-by-step explanation:

Given that twenty-three percent of automobiles are not covered by insurance (CNN, February 23,2006).

considering the total number of vehicles, probability for a randomly drawn vehicle not covered by insurance = 0.23

Each vehicle can be treated as independent of the other

Hence X no of vehicles not covered by insurance is Binom with n = 35 and p - 0.23

a) the expected number of these automobiles that are not covered by insurance=E(x) =

np = 35(0.23)\\= 8.05

b) the variance

=npq = 8.05(0.77) \\=6.1985

Std dev = square root of variance = 2.4897

6 0
3 years ago
Juanita spent $9 on each of her 6 grandchildren at the fair. How much money did she spend? Juanita gastó $9 en cada uno de sus 6
Elena-2011 [213]

Answer:

$54

Step-by-step explanation:

she had 6 grandchildren and she used $9 for one grandchild so we multiply

9 x 6 = $ 54

6 0
3 years ago
What is the solution set of – x1 = -8?
gregori [183]

Answer:

x=8

Step-by-step explanation:

3 0
3 years ago
Find the value of x and the measure of the missing angle labeled A:
Nostrana [21]

Answer:

x = -2

∠A = 35

Step-by-step explanation:

x + 37 + x + 57 = 90

reduce:

2x = -4

x = -2

∠A = 37-2 = 35

8 0
3 years ago
There is a 0.9989 probability that a randomly selected 32 year old male lives through the year. A life insurance company charges
densk [106]

Answer:

$53.83

Step-by-step explanation:

The question is <em>"What is the expected value for the insurance company?"</em>

<em />

The expected value is the sum of the product of each possibility and its probability.

Thus, we have:

The probability of living is 0.9989 and its value is 153

THe probability of dying is (1-0.9989=0.0011) and its value is -90,000

Now, the expected value is:

E(x) = (0.9989)(153) + (0.0011)(-90,000) = $53.83

5 0
4 years ago
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