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2 years ago

Use the slope formula to find the missing coordinate. r(0, _), s(-4, 2) m = 5

2 answers:

5 0

Let, the missing coordinate = x
m = y2-y1 / x2-x1
5 = x - 2 / 0-(-4)
5 = x-2/4
x-2 = 5*4
x = 20 + 2
x = 22

In short, Your Answer would be 22

Hope this helps!

Dmitry [639]2 years ago

3 0

Answer: 22

Step-by-step explanation:

The slope of a line passing through two points (a,b) and (c,d) is given by :-

$m=\dfrac{d-b}{c-a}$

The given points : r(0, _), s(-4, 2)

Slope : m=5

let the missing coordinate be y.

Then , the slope of a line passing through two points r(0, y), s(-4, 2)is given by :-

$5=\dfrac{2-y}{-4-0}\\\\\Rightarrow\2-y=5\times-4\\\\\Rightarrow\ y=20+2=22$

Hence, the missing coordinate of r = 22.

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What can 23/40 be simplified by?

kicyunya [14]

23/40 can't be simplified as it has no common factors

8 0

3 years ago

Charlotte measures the distance from the center of a circular garden to its edge and finds it is 43 meters. How long is the path

yanalaym [24]

Answer: 270.29 meters

Step-by-step explanation:

This is a circle which means that the distance that Charlotte measured from the center of a circular garden to its edge is the radius.

The length of the path which goes around the garden would therefore be the circumference.

Circumference = π * diameter

Diameter = radius * 2

= 43 * 2

= 86 meters

Circumference = 22/7 * 86

= 270.29 meters

3 0

3 years ago

In the American version of the Game Roulette, a wheel has 18 black slots, 18 red slots and 2 green slots. All slots are the same

m_a_m_a [10]

Answer:

-$0.26

Step-by-step explanation:

Calculation to determine the expected value of playing the game once

Expected value= [18/(18+18+2) x $5)]- [20/(18+18+2) x $5]

Expected value= ($18/38 x $5) - (20/38 x $5)

Expected value= ($2.37-$2.63)

Expected value= -$0.26

Therefore the expected value of playing the game once is -$0.26

5 0

2 years ago

Among freshman at a certain university, scores on the Math SAT followed the normal curve, with an average of 550 and an SD of 10

lina2011 [118]

Answer:

a) 6.68th percentile

b) 617.5 points

Step-by-step explanation:

Problems of normally distributed samples are 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:

$\mu = 550, \sigma = 100$