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2 years ago

Find the equation of the straight line that passes through the points (1, 10) and (3, 2)

Mathematics

2 answers:

slava [35]2 years ago

8 0

Answer:

y = -4x+14

Step-by-step explanation:

First find the slope

m = (y2-y1)/(x2-x1)

m = (2-10)/(3-1)

=-8/2

= -4

The slope intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

y = -4x+b

Substitute a point into the equation

10 = -4(1)+b

Add 4 to each side

14 = b

y = -4x+14

mylen [45]2 years ago

5 0

Answer:

y=-4x+14

Step-by-step explanation:

m=y1-y2/(x1-x2) and m= y-y1/x-x1

10-2/1-3=-4

m=-4 so -4=y-10/x-1

-4x+4=y-10

-4x+14=y

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ruslelena [56]

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3 years ago

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mojhsa [17]

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2 years ago

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9. Gold miners in Alaska have found, on average, 12 ounces of gold per 1000 tons of dirt excavated with a standard deviation of

netineya [11]

Answer:

9.18% probability the miners find more than 16 ounces of gold in the next 1000 tons of dirt excavated

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:

$\mu = 12, \sigma = 3$

What is the probability the miners find more than 16 ounces of gold in the next 1000 tons of dirt excavated?

This is 1 subtracted by the pvalue of Z when X = 16. So

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

$Z = \frac{16 - 12}{3}$

$Z = 1.33$

$Z = 1.33$ has a pvalue of 0.9082

1 - 0.9082 = 0.0918

9.18% probability the miners find more than 16 ounces of gold in the next 1000 tons of dirt excavated

5 0

2 years ago

Two cars travel along a highway at the same speed.

Mazyrski [523]

Answer:

30 mins

Step-by-step explanation:

<em>speed = distance/ time </em>

speed of car A

= 20/ 12 km/ min

= 5/ 3 km/ min

also, speed of car A = speed of car B

speed of car B = 5/ 3 km/ min = 50km / time taken (in mins)

$\frac{5}{3} = \frac{50}{t}$

$5t = 150$

$t = 30$

=> t = 30 mins

6 0

2 years ago

Factor 4x^4yz-16y^3z

Iteru [2.4K]

Answer:

Step-by-step explanation:

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6 0

2 years ago