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Naddik [55]
2 years ago
12

A tire company produced a batch of 6 comma 700 tires that includes exactly 250 that are defective.

Mathematics
1 answer:
mezya [45]2 years ago
8 0

the probability that if you pick only one, it's defective, is 250/6700

Therefore, the probability that one is not defective is 6450/6700

a. You want all 4 to not be defective: (6450/6700)^4

b. all 100 have to be not defective: (6450/6700)^100

If you type this into a calculator, you will get about 0.022, so a probability of 2 % that all of them are not defective. As this is a very small probability, the outlet should plan with returned tires.

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Find the area of the rectangle below multiplying its length and width (5x-4)(2x-5)
Serhud [2]
Use the FOIL method to multiply these terms.  Multiply the first, outside, inside, and last terms:


(5x - 4)(2x - 5)

(5x)(2x) + (5x)(-5) + (-4)(2x) + (-4)(-5)

10x² - 25x - 8x + 20

10x² - 33x + 20


The area of the rectangle should be 10x² - 33x + 20.

7 0
3 years ago
A square with a side length of 30 cm is divided into 4 triangles which expression CANNOT be used to find the area of one of the
zhenek [66]

Answer: A

Step-by-step explanation:

5 0
2 years ago
G(x) = -0.5x^2 + 4x – 2
-BARSIC- [3]

Answer:

Step-by-step explanation:

What is the question?

g(x) = -0.5x² + 4x - 2 is a down-opening parabola. Do you need to know how to put it in vertex form?

vertex (4,6)

focus (4,5.5)

5 0
2 years ago
F(x) = 9-3x<br> g(x) = 5x-7<br> Find f(x)+g(x).
Bezzdna [24]

Answer:

In the problem, the sum of the two functions is 2x + 2

Step-by-step explanation:

For this problem, we have to add together f(x) and g(x).

<em>f(x) = 9 - 3x</em>

<em>g(x) = 5x - 7</em>

(f + g)(x) = (9 - 3x) + (5x - 7)

Combine like terms.

(f + g)(x) = 2x + 2

So, when you combine the two functions together, you will get 2x + 2.

8 0
3 years ago
All questions to be solved using linear combination.
monitta
1)
I:x-y=-7
II:x+y=7

add both equations together to eliminate y:
x-y+(x+y)=-7+7
2x=0
x=0

insert x=0 into II:
0+y=7
y=7

the solution is (0,7)

2)
I: 3x+y=4
II: 2x+y=5

add I+(-1*II) together to eliminate y:
3x+y+(-2x-y)=4+(-5)
x=-1

insert x=-1 into I:
3*-1+y=4
y=7

the solution is (-1,7)

3)

I: 2e-3f=-9
II: e+3f=18

add both equations together to eliminate f:
2e-3f+(e+3f)=-9+18
3e=9
e=3

insert e=3 into I:
2*3-3f=-9
-3f=-9-6
-3f=-15
3f=15
f=5

the solution is (3,5)

4)
I: 3d-e=7
II: d+e=5

add both equations together to eliminate e:
3d-e+(d+e)=7+5
4d=12
d=3

insert d=3 into II:
3+e=5
e=2

the solution is (3,2)

5)
I: 8x+y=14
II: 3x+y=4

add I+(-1*II) together to eliminate y
8x+y+(-3x-y)=14-4
5x=10
x=2

insert x=2 into II:
3*2+y=4
y=4-6
y=-2

the solution is (2,-2)
8 0
3 years ago
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