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OlgaM077 [116]
3 years ago
7

Ax+by=c solving for y

Mathematics
2 answers:
german3 years ago
8 0

Answer:

ax + by = c \\  by = c - ax \\  \\ y =  \frac{c - ax}{b}  \\  \\ y =  \frac{c}{b}  -  \frac{ax}{b}

I hope I helped you^_^

ruslelena [56]3 years ago
6 0
By = c - ax
y = (c - ax) / b
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a scale drawing of a square has a side length of 2 cm. The drawing has a scale of 1cm : 8ft. Find the actual perimeter and area
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Select all the true statements. Triangle A B C where the measure of angle A is 2 x plus 1 degree, angle B is x degrees, and angl
Step2247 [10]

Answer:

B= 41; C  = 56; A = 83

Step-by-step explanation:

Given

A = 2x + 1

B = x

C = x + 15

Required

Arrange the angles from smallest to largest

First, we need to determine the value of x.

Since, it is a triangle:

A + B + C = 180

Substitute values for A, B and C

2x + 1+ x + x + 15 = 180

Collect Like Terms

2x + x + x = 180 - 15 -1

4x = 164

Solve for x

x= 164/4

x= 41

Solve for A, B and C

A = 2x + 1

A = 2 * 41 + 1

A = 82 + 1

A = 83

B = x

B= 41

C = x + 15

C  = 41 + 15

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6 0
3 years ago
According to national data, 5.1% of burglaries are cleared with arrests. A new detective is assigned to six different burglaries
blagie [28]

Answer:

26.95% probability that at least one of them is cleared with an arrest

Step-by-step explanation:

For each burglary, there are only two possible outcomes. Either it is cleared, or it is not. The probability of a burglary being cleared is independent of other burglaries. So 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.

5.1% of burglaries are cleared with arrests.

This means that p = 0.051

A new detective is assigned to six different burglaries.

This means that n = 6

What is the probability that at least one of them is cleared with an arrest?

Either none are cleared, or at least one is. The sum of the probabilities of these events is 100% = 1. So

P(X = 0) + P(X \geq 1) = 1

We want P(X \geq 1)

Then

P(X \geq 1) = 1 - P(X = 0)

In which

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

P(X = 0) = C_{6,0}.(0.051)^{0}.(0.949)^{6} = 0.7305

P(X \geq 1) = 1 - P(X = 0) = 1 - 0.7305 = 0.2695

26.95% probability that at least one of them is cleared with an arrest

8 0
3 years ago
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