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NikAS [45]
3 years ago
9

A business owner noted the features of the 100 100100 cars parked at the business. Here are the results: Sunroof2 doors4 doors 2

5 25 14 14 13 13 0 0 20 20 18 18 0 0 10 10 In this sample, are the events " 2 22 doors" and " 4 44 doors" mutually exclusive? Choose 1 answer: Choose 1 answer: (Choice A) A Yes (Choice B) B No Find the probability that a randomly selected car from this sample had 2 22 doors or 4 44 doors. P ( 2 doors OR 4 doors ) = P(2 doors OR 4 doors)=P, left parenthesis, start text, 2, space, d, o, o, r, s, space, O, R, space, 4, space, d, o, o, r, s, end text, right parenthesis, equals
Mathematics
1 answer:
Brums [2.3K]3 years ago
4 0

Question:

In this sample, are the events "222 doors" and "444 doors" mutually exclusive?

Answer to question above: Yes

Answer to big question:

P( 2 doors OR 4 doors) = 0.77

Step-by-step explanation:

14 + 18 + 20 + 25 + 0 + 0 = 77 of the 100 cars that had two doors or four doors.

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A 2-liter bottle of juice costs $2.80. A box containing six 12-liter bottles sells for $3.90. Which option has a higher cost per
exis [7]

Step-by-step explanation:

It is given that,

A 2-liter bottle of juice costs $2.80.

It means that 1 liter bottle of juice costs $1.4.

A box containing six 12-liter bottles sells for $3.90.  

(6×12)l i.e. 72 liter bottles sells for $3.9

1 liter bottles sells for $0.05416

It is clear that "A box containing six 12-liter bottles sells for $3.90." have higher cost per liter. Its cost is $0.05416 per liter. Hence, the correct option is (D).

7 0
3 years ago
Find the area of the shaded region of the graph
AURORKA [14]

Answer:

9 units²

Step-by-step explanation:

A differential of area is ...

dA = ((2y -y²) -(y² -4y))·dy = (-2y² +6y)·dy

The indefinite integral of this will be ...

a = -2/3y³ +6/2y²

Then the definite integral over the limits [0, 3] will be ...

(-2/3·3³ +3·3²) - 0 = 9 . . . . square units

8 0
3 years ago
Explain why x and 4x - 10 are factors of the expression x(4x - 10)3 rather than terms of the expression. What are the terms of t
andriy [413]

Solution :-  Let p(x) be the polynomial  such that

p(x) = x(4x-10)^3\\\text{and let f(x) be another polynomial such that }\\f(x)=4x-10\\\text{To find , Put } f(x)=0\\\Rightarrow4x-10=0\\\Rightarrow4x=10\\\Rightarrow x=5/2\\\text{Now substituting value of x in p(x),we get}\\p(x)=\frac{5}{2} .(4(5/2)-10)^3\\\Rightarrow\frac{5}{2}.(10-10)^3=0\\\text{Similarly let g(x)=x ,we get x=0 by putting g(x)=0}\\\text{now f(x)=0 for x=0}\\\text{So by Factor theorem f(x) and g(x) are the factors of polynomial p(x)}\\

\text{Now} p(x) = x(4x-10)^3\\=64x^4-480x^3+1200x^2-1000x\\\text{so the terms of terms of } p(x) \text{are} 64x^4,-480x^3,1200x^2,-1000x\\\text{here, by using Factor theorem x is a factor of all the terms but 4x-10 is not. }

\text{And the terms of the factor 4x-10 are 4x and -10}

3 0
3 years ago
Can someone help with these 2 problems?
AysviL [449]
Question 11 is C and also question 2 is A
8 0
4 years ago
What is the greatest common factor of 189 and 200 ?
sladkih [1.3K]
The gcf of these two numbers is 1, because 189 and 200 don't have any common factors.
3 0
3 years ago
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