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Rudik [331]
2 years ago
11

How do you complete this task?

Mathematics
2 answers:
MakcuM [25]2 years ago
8 0

Answer:

-\frac{3}{2}

Step-by-step explanation:

3x + 2y + 18 = 0

Equating it with.

ax + by + c = 0, we find:

a = 3, b = 2, c = 18

Slope of the line =- \frac{a}{b} =-\frac{3}{2}

Assoli18 [71]2 years ago
3 0

Answer:

-3/2

Step-by-step explanation:

y=mx +b

where m is the slope and b is the y intercept

we just need to rewrite 3x+2y+18=0 to look like that

We need to get y by itself

3x+18= -2y

we need y to be positive and to have no number in front of it (no coeficcent)

y= -3/2x-9

the slope is therefore -3/2

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What is the distance -4 and 7 on a number line?
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3 years ago
A production process is known to produce a particular item in such a way that 5 percent of these are defective. If two items are
IRINA_888 [86]

Answer:

0.0025 = 0.25% probability that both are defective

Step-by-step explanation:

For each item, there are only two possible outcomes. Either they are defective, or they are not. Items are independent of each other. 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 percent of these are defective.

This means that p = 0.05

If two items are randomly selected as they come off the production line, what is the probability that both are defective

This is P(X = 2) when n = 2. So

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

P(X = 2) = C_{2,2}.(0.05)^{2}.(0.95)^{0} = 0.0025

0.0025 = 0.25% probability that both are defective

4 0
2 years ago
If the sum of three consecutive numbers is 36. Find the numbers.
aleksandrvk [35]

Answer:

11, 12, 13

Step-by-step explanation:

x is the first number

(x + 1) is the second number

(x + 2) is the third number

x + x+1 + x+2 = 36

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3x = 36 - 3

3x = 33

x = 11  ← the first number

the second number  = x + 1 = 11 + 1 = 12

the third number = x + 2 = 11 + 2 = 13

8 0
3 years ago
Read 2 more answers
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