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lapo4ka [179]
3 years ago
10

One flight of stairs has a slope of 3/4 , while another flight of stairs contains points (-2,3) and (14, 15). Would these be par

allel, perpendicular, or neither?
Mathematics
1 answer:
shusha [124]3 years ago
7 0

Answer:

Perpendicular

Step-by-step explanation:

m=y2-y1/x2-x1

m=15-3/14-(-2)

m=3/4

You might be interested in
An insurance policy on an electrical device pays a benefit of 4000 if the device fails during the first year. The amount of the
lora16 [44]

Answer:

Expected benefit under this policy = $ 2694

Step-by-step explanation:

Given - An insurance policy on an electrical device pays a benefit of

            4000 if the device fails during the first year. The amount of the

            benefit decreases by 1000 each successive year until it reaches 0.

            If the device has not failed by the beginning of any given year, the

            probability of failure during that year is 0.4.

To find - What is the expected benefit under this policy ?

Proof -

Let us suppose that,

The benefit = y

Given that, the probability of failure during that year is 0.4

⇒Probability of non-failure = 1 - 0.4 = 0.6

Now,

If the device fail in second year , then

Probability = 0.6×0.4

If the device fail in third year, then

Probability = 0.6×0.6×0.4 = 0.6² × 0.4

Going on like this , we get

If the device is failed in n year, then

Probability = 0.6ⁿ⁻¹ × 0.4

Now,

The probability distribution is-

Benefit , x       4000       3000             2000            1000              0

P(x)                 0.4         0.6×0.4         0.6² × 0.4     0.6³ × 0.4     1 - 0.8704

                      (0.4)       (0.24)            (0.144)         (0.0864)       (0.1296)

At last year, the probability = 1 - (0.4+ 0.24+ 0.144+ 0.0864) = 1 - 0.8704

Now,

We know that,

Expected value ,

E(x) = ∑x p(x)

       = 4000(0.4) + 3000(0.24) + 2000(0.144) + 1000(0.0864) + 0(0.1296)

       = 1600 + 720 + 288 + 86.4 + 0

       = 2694.4

⇒E(x) = 2694.4 ≈ 2694

∴ we get

Expected benefit under this policy = $ 2694

5 0
2 years ago
I need this please help me
kherson [118]

Answer:

I attached a picture of the completed picture below.

The values given to you in the picture are shown in pink

Use those values to fill in the rest, which are shown in blue.

6 0
2 years ago
Jada invest $590 in a money market account. Her account pays 7% simple interest. How much interest will Jada earn after 4 years
mote1985 [20]

Answer:

165.2

Step-by-step explanation:

7%x4=28

28 percent of 590 = <u>165.2</u>

7 0
2 years ago
What is the intercepts of the line?
xxTIMURxx [149]

Answer:

The y-intercept is 2.5

The x-intercept is 3.5

Step-by-step explanation:

Hope this helps!

8 0
2 years ago
Read 2 more answers
In circle L, points E and F lie on the circle such that E, F and L are not collinear. If LE, LF and EF are drawn then which of t
frozen [14]

Answer:

<u>option (2) it is and isosceles triangle. </u>

Step-by-step explanation:

In circle L, points E and F lie on the circle such that E, F and L are not collinear

If LE, LF and EF are drawn

So, LE = EF = the radius of the circle L

So, LEF is an isosceles triangle.

The answer is option (2) it is and isosceles triangle.

8 0
3 years ago
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