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11Alexandr11 [23.1K]
3 years ago
15

Solve for x: x/12 - 5 = 7 A.x=121 B.x = 144 C.X = 96 D.x = 84

Mathematics
1 answer:
Solnce55 [7]3 years ago
8 0

Step-by-step explanation:

<u>Step 1:  Add 5 to both sides</u>

<u />\frac{x}{12}-5+5=7+5

\frac{x}{12}=12*12

x=144

Answer:  Option B, x = 144

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Identify the vertex of f :<br> f(x) = 3(x + 5)2 - 10
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Answer:

(-5,-10)

Step-by-step explanation:

Horizontal shift left 5 units and vertical translation down 10 units.

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Complete the point slope equation of the line through (1,3) and (5,1).
VashaNatasha [74]
First, find m, the slope of the line.
(1-3)/(5-1) =
-2/4 =
-1/2

Next, choose either point to write the point slope form. I will show the outcome of both points.

1. Using point (1, 3)
y-y1=m(x-x1)
y-3=(-1/2)(x-1)
————————
y-3=-1/2x+1/2
y=-1/2x+7/2

2. Using point (5,1)
y-y1=m(x-x1)
y-1=-1/2(x-5)
————————
y-1=-1/2x+5/2
y=-1/2x+7/2

The outcome is the same.
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3 years ago
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The missing able is 43 degrees
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3 years ago
Assume that random guesses are made for seven multiple choice questions on an SAT test, so that there are n=7 trials, each with
Vedmedyk [2.9K]

Answer:

P(X < 4) = 0.5

Step-by-step explanation:

For each question, there are only two possible outcomes. Either it is answered correctly, or it is not. The probability of a question being answered correctly is independent of any other question. This means that we use the binomial probability distribution to solve this question.

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} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

In this question, we have that:

n = 7, p = 0.5

Find the probability that the number of correct answers is fewer than 4:

This is

P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

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

P(X = 0) = C_{7,0}.(0.5)^{0}.(0.5)^{7} = 0.0078

P(X = 1) = C_{7,1}.(0.5)^{1}.(0.5)^{6} = 0.0547

P(X = 2) = C_{7,2}.(0.5)^{2}.(0.5)^{5} = 0.1641

P(X = 3) = C_{7,3}.(0.5)^{3}.(0.5)^{4} = 0.2734

P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0078 + 0.0547 + 0.1641 + 0.2734 = 0.5

So

P(X < 4) = 0.5

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I think the answer is 631 tell me if I'm wrong

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