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3 years ago

Which lines are perpendicular to the line y – 1 = (x+2)? Check all that apply.

Mathematics

1 answer:

yuradex [85]3 years ago

7 0

Answer:

None!

Step-by-step explanation:

Two lines are perpendicular when the product of their slopes equals -1.

The general equation of a line is:

y = m(x-x0) + y0. Where "m" represents the slope and (x0, y0) a point on the line.

Then, we find the slope of each equation:

a) y + 2 = –3(x – 4) -> m=-3

b) y − 5 = 3(x + 11) -> m=3

c) y = -3x -> m= -3

d) y = x – 2 -> m=1

e) 3x + y = 7 -> m= -3

And the slope of the line y – 1 = (x+2) is m=1.

So, multiplying the slopes:

a) -3 * 1 = -3

b) 3 * 1 = 3

c) -3 * 1 = -3

d) 1 * 1 = 1

e) -3 * 1 = -3

None of the lines are perpendicular to the line y – 1 = (x+2)

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Let X = the time between two successive arrivals at the drive-up window of a local bank. If X has an exponential distribution wi

LuckyWell [14K]

Answer:

a) E(X)=1

b) σ=1

c) P(X>1)=0.368

d) P(2<X<5)=0.128

Step-by-step explanation:

We have X: "the time between two successive arrivals at the drive-up window of a local bank", exponentially distributed with λ = 1.

a) We have to compute the expected time between two successive arrivals.

The expected value for X as it is exponentially distributed is:

$E(X)=\dfrac{1}{\lambda}=\dfrac{1}{1}=1$

b) We have to compute the standard deviation of X.

The standard deviation is calculated as:

$\sigma=\dfrac{1}{\lambda}=\dfrac{1}{1}=1$

c) The probability that X is larger than 1 (P(X>1))

We can express the probability as:

$P(X>t)=e^{-\lambda t}\\\\P(X>1)=e^{-\lambda\cdot 1}=e^{-1}=0.368$

d) The probability that X is between 2 and 5 (P(2<X<5))

$P(X>t)=e^{-\lambda t}\\\\\\P(25)\\\\P(2$

4 0

3 years ago

Cari owns a horse farm and a horse trailer than can transport up to 8000 pounds of livestock and tack. She travels with 5 horses

tatuchka [14]

In order to find out the answer for this, let us try to analyze the question. Since it is given that 6240 pounds is the total weight of her 5 horses and t represents the weight of each tack per horse, the inequality that could be used to determine the weight of tack Cari can allow for each horse would be this: <span>6240+5t≤8000
6240+5t indicates the total weight, and that this weight does not exceed 8000. Hope this answer helps.</span>

7 0

3 years ago

Can someone please help, answer with steps.

julsineya [31]

Your Answer Is C) III Only.

A temperature increase of 5/9 degrees Fahrenheit is equivalent to a temperature increase of 1 degree Celsius.

One way we could check is by multiplying (f -32) by five degrees.

( f - 32 ) = 31

9 / 5 = 1.8

31 * 1.8 = 55.8

55.8 / 14^2 = 0.28

Now, let's check,

0.28 / 1.8 = 0.504

0.504 * 28.1232 = 55.8

Or it could be solved by keeping on adding. (That would be easier but I prefer multiplying.)

- Please Mark Brainliest, This Took me a while. :v

8 0

2 years ago

Anyone know what 68010+01410 is

alex41 [277]

Put the first number on top then start adding 6+0, 8+1, 0+4, 1+1, 0+0 and the answer is 69420

7 0

2 years ago

The sum of three consecutive natural numbers is 1251 find the numbers

valentinak56 [21]

Numbers are 416, 417 and 418

<u>Step-by-step explanation:</u>

Step 1:

Let the numbers be x, x + 1 and x + 2. Given that their sum is 1251.

⇒ x + x + 1 + x + 2 = 1251

⇒ 3x + 3 = 1251

⇒ 3x = 1248

⇒ x = 416

Step 2:

Find the other numbers.

⇒ x + 1 = 417 and x + 2 = 418

8 0

3 years ago