MATHEMATICS HIGH SCHOOL

The slope is 3, and it passes through ( -4, -7).a. y = 6x + 5
c. y = 3x - 7
b. y = 3x + 5
d. y = 3x - 19
The slope is -7, and it passes through ( 5, -3).
a. y = -7x - 3
c. y = -14x + 32
b. y = -7x + 32
d. y = -7x - 38

Answers

Answer 1
Answer:

The equation of the lines are b. y = 3x + 5 and b. y = -7x + 32.

What is the Equation of line in Slope Intercept form?

Equation of a line in slope intercept form is y = mx + b, where m is the slope of the line and b is the y intercept, which is the y coordinate of the point where it touches the Y axis.

Given that,

Slope = 3

And the line passes through (-4, -7).

Substituting in the slope intercept form,

-7 = (3 × -4) + c

-7 = -12 + c

c = -7 + 12

c = 5

Equation of the line is y = 3x + 5

Given slope = -7.

Line passes through (5, -3)

Substituting in the slope intercept form,

-3 = (-7 × 5) + c

-3 = -35 + c

c = -3 + 35

c = 32

Equation of the line is y = -7x + 32

Hence the equations are y = 3x + 5 and y = -7x + 32.

To learn more about Slope Intercept Form here :

brainly.com/question/29146348

#SPJ2
Answer 2
Answer:

Answer:B

Step-by-step explanation:

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in2

Answers

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The time , in hours , it takes to repair an electrical breakdown in a certain factory is represent by a random variable x where repair time follow a normal distribution with mean 5 hour and standard deviation 1 hour , if 5 electrical breakdown ore randomly chosen , Find the probability that ( a all repaired time below 6 hours ( b ) exactly 3 of them repaired below 6 hours

Answers

Answer:

a) 0.4215 = 42.15% probability that all are repaired in less than 6 hours.

b) 0.15 = 15% probability that exactly 3 of them repaired in a time below 6 hours

Step-by-step explanation:

To solve this question, we need to understand the normal and the binomial probability distributions.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_(n,x).p^(x).(1-p)^(n-x)

In which C_(n,x) is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_(n,x) = (n!)/(x!(n-x)!)

And p is the probability of X happening.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = (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 p-value, we get the probability that the value of the measure is greater than X.

Proportion repaired below 6 hours:

Mean 5 hours and standard deviation 1 hour, which means that \mu = 5, \sigma = 1

This proportion is the p-value of Z when X = 6. So

Z = (X - \mu)/(\sigma)

Z = (6 - 5)/(1)

Z = 1

Z = 1 has a p-value of 0.8413.

0.8413 repaired below 6 hours.

For the binomial distribution, this means that p = 0.8413

5 are chosen:

This means that n = 5

a) Probability that all are repaired in less than 6 hours

This is P(X = 5). So

P(X = x) = C_(n,x).p^(x).(1-p)^(n-x)

P(X = 5) = C_(5,5).(0.8413)^(5).(0.1587)^(0) = 0.4215

0.4215 = 42.15% probability that all are repaired in less than 6 hours.

b) Probability that exactly 3 of them repaired below 6 hours

This is P(X = 3). So

P(X = x) = C_(n,x).p^(x).(1-p)^(n-x)

P(X = 3) = C_(5,3).(0.8413)^(3).(0.1587)^(2) = 0.15

0.15 = 15% probability that exactly 3 of them repaired in a time below 6 hours

What is the value of the expression?Drag and drop the answer into the box to match the expression.
3.75+(−2.16)3.75+(−2.16)
​−6.09−6.09​​−5.91−5.91​−1.59−1.59−0.41−0.410.411.595.916.09






1 2 3 4 5

Answers

2 im not sure but i think is the correct ansew

12.75x+250=18.25x74
can someone help with this?

Answers

Answer:

X = 4402/51 = 86.31

Step-by-step explanation:

How would you solve this??

Answers

I would do this by X times g but first figure out what x is than to did his you have to figure out what what the answer is to what it equals and the answer to that is the same for the first expression than divide the answer by what x is and if it gives you g than that's your answer
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