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Shalnov [3]
3 years ago
5

Combine like terms.

Mathematics
1 answer:
wolverine [178]3 years ago
8 0
The answer is b




16-9=7
7+8=15r
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Is 13 and 98 relatively prime
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Answer: Yes they are

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Please help!! Solve the equation by graphing the related function. If the equation has no real-number solution, write no solutio
MrMuchimi
This equation has no solution
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3 years ago
Which expression is equivalent to 4^7 x 4^-5​
melisa1 [442]
<h2>4⁷×4⁵</h2><h3>{a^m×a^n=a^(m×n)}</h3><h3>=4^(⁷×-⁵)</h3><h3>=4^-35</h3>

please mark this answer as brainlist

3 0
3 years ago
A food-packaging apparatus underfills 10% of the containers. Find the probability that for any particular 10 containers the numb
Maksim231197 [3]

Answer:

a) P(X = 1) = 0.38742

b) P(X = 3) = 0.05740

c) P(X = 9) = 0.00000

d) P(X \geq 5) = 0.00163

Step-by-step explanation:

For each container, there are only two possible outcomes. Either it is undefilled, or it is not. This means that we can solve this problem using the binomial probability distribution.

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 combinatios 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 problem

There are 10 containers, so n = 10.

A food-packaging apparatus underfills 10% of the containers, so p = 0.1.

a) This is P(X = 1)

P(X = 1) = C_{10,1}.(0.1)^{1}.(0.9)^{9} = 0.38742

b) This is P(X = 3)

P(X = 3) = C_{10,3}.(0.1)^{3}.(0.9)^{7} = 0.05740

c) This is P(X = 9)

P(X = 9) = C_{10,9}.(0.1)^{9}.(0.9)^{1} = 0.00000

d) This is P(X \geq 5).

Either the number is lesser than five, or it is five or larger. The sum of the probabilities of each event is decimal 1. So:

P(X < 5) + P(X \geq 5) = 1

P(X \geq 5) = 1 - P(X < 5)

In which

P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)

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

P(X = 0) = C_{10,0}.(0.1)^{0}.(0.9)^{10} = 0.34868

P(X = 1) = C_{10,1}.(0.1)^{1}.(0.9)^{9} = 0.38742

P(X = 2) = C_{10,2}.(0.1)^{2}.(0.9)^{8} = 0.1937

P(X = 3) = C_{10,3}.(0.1)^{3}.(0.9)^{7} = 0.05740

P(X = 4) = C_{10,4}.(0.1)^{1}.(0.9)^{9} = 0.38742

So

P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.34868 + 0.38742 + 0.19371 + 0.05740 + 0.01116 = 0.99837

Finally

P(X \geq 5) = 1 - P(X < 5) = 1 - 0.99837 = 0.00163

3 0
2 years ago
Triangle ABC has the following coordinates: A(4 , 5), B(5 , 3), and C(2 , 3). Part A: If triangle ABC is dilated by a scale fact
Kobotan [32]

The new coordinates of A'B'C' creates a triangle that is larger than ABC.

<h3>Transformation</h3>

Transformation is the movement of a point from its initial location to a new location. Types of transformation are <em>translation, reflection, rotation and dilation.</em>

If a point A(x, y) is dilated by a scale factor k, the new point is at A'(kx, ky).

Given that:

  • Triangle ABC has the following coordinates: A(4 , 5), B(5 , 3), and C(2 , 3)

If it is dilated by a scale factor of 3, the new point is at:

  • A'(12, 15), B'(15, 9) and C'(6, 9)

Therefore the new coordinates of A'B'C' creates a triangle that is larger than ABC.

Find out more on dilation at: brainly.com/question/10253650

8 0
2 years ago
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