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4 years ago

(1,-2) y=2x+1 what is the perpendicular line

Mathematics

1 answer:

Nookie1986 [14]4 years ago

4 0

Answer: (1,-2), (1, 3)

Step-by-step explanation:y=2x+1

Y=2(1)+1

Y=2+1

Y=3

3=2x+1

-1 -1

2=2x

_ _

2 2

X= 1 new you got your perpendicular line

So answer is (1, -2), (1, 3)

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In a sample of 115 115 curtains, the average length was found to be 32.2in. 32.2 ⁢ in. With a standard deviation of 0.8 0.8 . Gi

pentagon [3]

Answer:

The point estimate for the population standard deviation of the length of the curtains is 8.58in.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem, we have that:

$s = 0.8, n = 115$

The point estimate for the population standard deviation of the length of the curtains is $\sigma$ . So

$s = \frac{\sigma}{\sqrt{n}}$

$\sigma = s\sqrt{n}$

$\sigma = 0.8\sqrt{115}$

$\sigma = 8.58$

The point estimate for the population standard deviation of the length of the curtains is 8.58in.

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3 years ago

. A referee was standing on a certain yard line as the first quarter ended. He walked 41 3/ 4 yards to a yard line with the same

deff fn [24]

100 yards minus 41 3/4 which is 58 1/4 divided by 2 which is 29 1/2

6 0

4 years ago

Read 2 more answers

There are 8 students on the minibus. Five of the students or boys. What fraction of the students are boys

blagie [28]

The fraction would be 5/8

3 0

3 years ago

Can anyone help me with these two plz

Evgen [1.6K]

Answer:

Part 1) The scale factor is $1.5$

Part 2) The altitude QS is $4\ units$

Part 3) The scale factor is $\frac{2}{3}$

Part 4) The value of x is $12\ units$

Part 5) The perimeter of ABCDE is $46\ units$

Step-by-step explanation:

Part 1) Find the scale factor of triangle TQR to triangle NQP

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

Let

z-----> the scale factor

$z=\frac{NP}{RT}$

substitute the values

$z=\frac{24}{16}=1.5$

Part 2) Find the length of the altitude QS

we know that

To find the altitude QS, divide the altitude of triangle NQP by the scale factor

$QS=\frac{6}{1.5}=4\ units$

Part 3) Find the scale factor of FGHJK to ABCDE

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

Let

z-----> the scale factor

$z=\frac{AB}{FG}$

substitute the values

$z=\frac{10}{15}=\frac{2}{3}$

Part 4) Find the value of x

we know that

The value of x is equal to multiply the length side FK by the scale factor

$AE=FK(z)$

substitute the values

$AE=18(2/3)=12\ units$

Part 5) Find the perimeter of ABCDE

we know that

If two figures are similar, then the ratio of its perimeters is equal to the scale factor

Let

z-----> the scale factor

x-----> the perimeter of ABCDE

y-----> the perimeter of FGHJK

$z=\frac{x}{y}$

we have

$z=\frac{2}{3}$

$y=15+9+12+15+18=69\ units$

substitute the values

$z=\frac{x}{y}$

$x=(z)(y)=\frac{2}{3}(69)=46\ units$

6 0

4 years ago

PLEASE NEED ANSWER FAST

ahrayia [7]

c or d for sure hope this helps

5 0

2 years ago