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2 years ago

Given the points below, are the two lines parallel, perpendicular, or neither.

Mathematics

1 answer:

Nookie1986 [14]2 years ago

6 0

Answer:

perpendicular

Step-by-step explanation:

First we need to dtemine the slopes of the line

For line 1

L1: (-4, 6) (-3,-1)

m1 = y2-y1/x2-x1

m1= -1-6/-3+4

m1 = -7/1

m1 = -7

For line 2:

L2: (8,9) (15, 10)

m2 = 10-9/15-8

m2 = 1/8

Take their product

m1 * m2 = -7 * 1/7

m1m2 = -1

Since the product of their slopes is -1, hence they are perpendicular

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The square root of 120 is about 10.95

Step-by-step explanation:

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3 years ago

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Jim walked 1/2 of a mile in 1/4 of an hour. at this rate how long will it take him to walk one mile

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2 years ago

Oscar was not safeguarding his personal identification and chose a two-digit PIN for his debit card using the numbers 0 - 9. Wit

ryzh [129]

There are 90 different identification numbers possible.

<h3>What are the permutation and combination?</h3>

In terms of mathematical concepts, “permutation” and “combination” are related to each other.

The combination is the counting of selections that we make from n objects.

Oscar was not safeguarding his personal identification and chose a two-digit PIN for his debit card using the numbers 0 - 9.

There are 10 possible values for each digit of the PIN (namely: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9), so there are;

10 × 10 = 100 total possible PINs.

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100 -10 =90

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2 years ago

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3 years ago

The length of human pregnancies from conception to birth varies according to an approximately normal distribution with a mean of

Varvara68 [4.7K]

Answer:

A) 68.33%

B) (234, 298)

Step-by-step explanation:

We have that the mean is 266 days (m) and the standard deviation is 16 days (sd), so we are asked:

A. P (250 x < 282)

P ((x1 - m) / sd < x < (x2 - m) / sd)

P ((250 - 266) / 16 < x < (282 - 266) / 16)

P (- 1 < z < 1)

P (z < 1) - P (-1 < z)

If we look in the normal distribution table we have to:

P (-1 < z) = 0.1587

P (z < 1) = 0.8413

replacing

0.8413 - 0.1587 = 0.6833

The percentage of pregnancies last between 250 and 282 days is 68.33%

B. We apply the experimental formula of 68-95-99.7

For middle 95% it is:

(m - 2 * sd, m + 2 * sd)

Thus,

m - 2 * sd <x <m + 2 * sd

we replace

266 - 2 * 16 <x <266 + 2 * 16

234 <x <298

That is, the interval would be (234, 298)

6 0

2 years ago