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iren [92.7K]
3 years ago
5

1. Set up the following word problem as a proportion and solve.

Mathematics
1 answer:
S_A_V [24]3 years ago
5 0
<span>We expect 150 defects out of the 10,000 cars if the 3 defects out of the 200 cars sampled is representative of all 10,000 cars. First, let's set up the proportions. We have 3/200 cars with defects and we want to know X for X/10000. So 3/200 = X/10000 Now solve for X. 3/200 = X/10000 10000*3/200 = 10000 * X/10000 30000/200 = X 150 = X So the answer is: We expect 150 defects out of the 10,000 cars if the 3 defects out of the 200 cars sampled is representative of all 10,000 cars.</span>
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If the points A(x,2), B(-3, -4) and C(7, -5) are collinear, then find the value of x
DochEvi [55]

Answer:

x = -63

Step-by-step explanation:

If the points A(x,2), B(-3, -4), and C(7, -5) are collinear, the line that passes B and C, also passes A.

The line passes B and C has the form of y = ax + b

=> -4  = a(-3) + b

    -5  = a(7) + b

=> Subtraction 1st equation from 2nd equation, we have:

    -1 = 10a

=> a = -1/10

=> b = -4 + 3(-1/0) = -43/10

=> This line has form of y = (-1/10)x -43/10

This line passes A(x, 2)

=> 2 = (-1/10)x - 43/10

=> 2 + 43/10 = (-1/10)x

=> 63/10 = (-1/10)x

=> x = -63

Hope this helps!

3 0
3 years ago
HELPP IF I DONT ANSWER THIS QUESTION CORRECTLY I WONT BE ABLE TO PASS MY GRADE
timurjin [86]
1. is going to be triangle, (it looks like it should be equilateral)
2.rectangle
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4 0
3 years ago
P(t)=100e^0.07(0) what is the growth rate of the population
crimeas [40]

Hello !  

p = 100e^0.07t = 100[e^(0.07)]^t = 100·1.0725^t  

Then the annul percent growth rate is 7.25%.

7 0
3 years ago
Ill give brainly if right!!
S_A_V [24]

Answer:

The weight of square is 8 grams.

Step-by-step explanation:

Given that,

The weight of the circle = 2 grams

The weight of the triangle = 4 grams

We need to find the weight of the square. Let the weight of each square is w.

On LHS, 2 circles and 4 squares are there.

On RHS, 2 squares, 4 triangles and 2 circles are there.

For a balanced position,

Weight on LHS = Weight on RHS

2\times \text{weight of circle}+4\times \text{weight of squares}=2\times \text{weight of squares}+4\times \text{weight of triangles }+2\times \text{weight of circle}2(2)+4(w) = 2(w) + 4(4) +2(2)

4 + 4w = 2w +16 +4

4w-2w = 20-4

2w = 16

w = 8

So, weight of square is 8 grams.

4 0
3 years ago
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