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2 years ago

Write the equation for a line that is perpendicular to the line y = −1 and passing

Mathematics

1 answer:

zheka24 [161]2 years ago

8 0

Answer:

x= 12

Step-by-step explanation:

<u>Slope-intercept </u><u>form</u>

y= mx +c, where m is the gradient and c is the y-intercept.

y= -1

y= 0x -1

The given line, y= -1, is a horizontal line as it has a gradient of zero.

A line perpendicular to a horizontal line is a vertical line, and its equation is written as x= ___.

Since the vertical line passes through the point (12, -39), its equation is x= 12.

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HELP!!!

Bad White [126]

I hope this helps you

-15+6= -9

-9+6= -3

-3+6=3

add 6

3 0

3 years ago

Read 2 more answers

Assume that the empirical rule is a good model for the time it takes for all passengers to board an airplane. The mean time is 4

slamgirl [31]

Answer:

The interval that describes how long it takes for passengers to board the middle 95% of the time is between 40.16 minutes and 55.84 minutes.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 48, \sigma = 4$ .

Which interval describes how long it takes for passengers to board the middle 95% of the time?

This is between the 2.5th percentile and the 97.5th percentile.

So this interval is the value of X when Z has a a pvalue of 0.025 and the value of X when Z has a pvalue of 0.975

Lower Limit

Z has a pvalue of 0.025 when $Z = -1.96$ . So

$Z = \frac{X - \mu}{\sigma}$

$-1.96 = \frac{X - 48}{4}$

$X - 48 = -1.96*4$

$X = 40.16$

Upper Limit

Z has a pvalue of 0.975 when $Z = 1.96$ . So

$Z = \frac{X - \mu}{\sigma}$

$1.96 = \frac{X - 48}{4}$

$X - 48 = 1.96*4$

$X = 55.84$

The interval that describes how long it takes for passengers to board the middle 95% of the time is between 40.16 minutes and 55.84 minutes.

7 0

3 years ago

4 1/6x6 simplest form neeeeeeeeeeeeeeeeeeed help plzzzzzzzzzzzz

qwelly [4]

Answer:25

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

Out of 600 seniors at a local high school, 60% went on the senior trip. At the hotel, one room was reserved for every 4 students

butalik [34]

Given:

Total number of senior students = 600

60% went on the senior trip.

One room was reserved for every 4 students.

To find:

The total number of reserved rooms.

Solution:

60% went on the senior trip from total 600 students. So, number of students who went on tripe is

$600\times \dfrac{60}{100}=360$

Now, one room was reserved for every 4 students. So,

$\text{Required number of rooms}=\dfrac{\text{Number of students who went on tripe}}{\text{Number of students in room}}$

$\text{Required number of rooms}=\dfrac{360}{4}$

$\text{Required number of rooms}=90$

Therefore, the required number of reserved rooms were 90.

4 0

3 years ago

The points L(10,9)L(10,9), M(10,-5)M(10,-5), N(-1,-5)N(-1,-5), and O(-1,9)O(-1,9) form rectangle LMNOLMNO. Which point is halfwa

Inessa [10]

You are trying to find the halfway point between OO and NN.
OO: (-1,9) NN: (-1,5)
The x-coordinate does not change, because in both instances it is -1. The y-coordinate is (9-5)/2 AWAY from each point. AKA the number that is equidistant from 5 and 9 (7).

4 0

3 years ago