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3 years ago

What is perpendicular to y=1/3x+6 and passes through the point (2,-3)

Mathematics

1 answer:

defon3 years ago

3 0

Answer:

y = -3x + 3

Step-by-step explanation:

Perpendicular slope: -3

y -(-3)= -3(x-2)

y+3= -3x + 6

y = -3x + 3

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Find slope and y-intercept 5x+3y=-6

katen-ka-za [31]

Answer:

$m=-\frac53; q=-2$

Step-by-step explanation:

Let's bring the line in the classical $y=mx+q$ form

$3y= -5x-6\\y=-\frac53 x -2$

At this point we have the two values $-\frac53$ for the slope and $2$ for the intercept

6 0

2 years ago

Based on FAA estimates the average age of the fleets of the 10 largest U.S. commercial passenger carriers is 13.4 years with a s

Aliun [14]

Answer : 0.0129

Step-by-step explanation:

Given : Based on FAA estimates the average age of the fleets of the 10 largest U.S. commercial passenger carriers is $\mu=13.4$ years and standard deviation is $\sigma=1.7$ years.

Sample size : $n=40$

Let X be the random variable that represents the age of fleets.

We assume that the ages of the fleets of the 10 largest U.S. commercial passenger carriers are normally distributed.

For z-score,

$z=\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}$

For x=14

$z=\dfrac{14-13.4}{\dfrac{1.7}{\sqrt{40}}}\approx2.23$

By using the standard normal distribution table , the probability that the average age of these 40 airplanes is at least 14 years old will be :-

$P(x\geq 14)=P(z\geq2.23)\\\\=1-P(z$

Hence, the required probability = 0.0129

6 0

3 years ago

Draw or write two ways to use a doubles fact to find 6+7

PtichkaEL [24]

Here are a few doubles facts:

5+5=10
2+2=4
3+3=6

A double is simply a pair of identical numbers added together. There's a pair of doubles you can subtract 1 from to get 6+7, and there's a pair you can add 1 to get the same answer. What are those pairs?

Hint: If you take the example 3+4, you can either subtract 1 from the double 4+4 or add 1 to the double 3+3 to obtain your answer.

4 0

3 years ago

I need help please someone help i just joined so please help

mr Goodwill [35]

Answer:

Step-by-step explanation:

4 0

3 years ago

3.24 x 10-4 8.1 x 10-7

defon

28.4

Explanation

(Multiply the numbers) 3.24 x 10= 32.4
(Subtract the numbers) 32.4 - 4= 28.4

7 0

3 years ago