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2 years ago

What is the slope of a line perpendicular to

Mathematics

1 answer:

olga nikolaevna [1]2 years ago

7 0

$m = \frac{ - u}{v} = \frac{ - 9}{3} = - 3$

$km = - 1 \\ k = - \frac{1}{m} = \frac{ - 1}{-3}=1/3$

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Find the 78th term of the arithmetic sequence 14,5, -4, ...

iren2701 [21]

Answer:

-679

Step-by-step explanation:

14, 5, -4, ...

a = 14

d = 5 - 14 = -9

nth term = a + (n - 1) d

n(78) = 14 + (78 - 1) * -9

= 14 + 77(-9)

= 14 -693

= -679

7 0

2 years ago

Read 2 more answers

I REALLY NEED THE HELP ASAP PLEASE

scoundrel [369]

Answer:

X=-52

Step-by-step explanation:

-4(X+10)-6=-3(x-2)

-4x-40-6=-3x+6

-4x+3x=6+46

-x=52

X=-52

6 0

3 years ago

Read 2 more answers

6x-4y=-14 <br>-3x-3y=12<br><br>with the elimination method

Vanyuwa [196]

6x-4y=-14
2(-3x-3y=12)

6x-4y=-14
-6x-6y=24

-10y=10
Divide both sides by 10
-1y=1 divide by -1
y=-1

6x-4(-1)=-14
6x+4=-14
-4 -4
6x=-18
Divide both sides by 6
x=-3

8 0

3 years ago

Luis has a bag that contains strawberry chews, apple chews, and peach chews. He performs an experiment. Luis randomly removes a

Blizzard [7]

The probability that the next chew Luis removes from the bag will be a flavour other than strawberry as a fraction in simplest form is (29/37).

<h3>What is Probability?</h3>

The probability helps us to know the chances of an event occurring.

$\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}$

The number of times the experiment was done is 37 (15+14+8). The number of times apple chew came as a result of the experiment is 14, while the number of times peach chew came as a result of the experiment is 15. Therefore, the probability that the next chew Luis removes from the bag will be a flavour other than strawberry as a fraction in simplest form is

$\rm Probability = \dfrac{\text{Number of times apple chew or peach chew was selected}}{\text{Total number of times experiment was performed}}\\\\\\Probability = \dfrac{14+15}{37} = \dfrac{29}{37}$

Hence, the probability that the next chew Luis removes from the bag will be a flavour other than strawberry as a fraction in simplest form is (29/37).

Learn more about Probability:

brainly.com/question/795909

#SPJ1

7 0

2 years ago

A simple random sample of 10 paired values (x,y) yields the following statistical calculations: ∑x=108, ∑y=138, ∑(x2) =1249, ∑(y

lora16 [44]

The linear correlation coefficient is $r=1.054$

Explanation:

It is given that $\Sigma x=108$ , $\Sigma y=138$ , $\Sigma x^{2} =1249$ , $\Sigma y^{2} =2280$ and $\Sigma(x y)=1676$

Also, the random sample is $n=10$

The formula to determine the correlation coefficient is given by

$r=\frac{n\left(\sum x y\right)-\left(\sum x\right)(\Sigma y)}{\sqrt{\left[n \sum x^{2}-\left(\sum x\right)^{2}\right]\left[n \Sigma y^{2}-(\Sigma y)^{2}\right]}}$