Answer:
Yes
Step-by-step explanation:
First, we need to find how many cars out of the entire fleet fail the test
4/32 = x/150
Cross multiply to find x
32x = 150(4)
32x = 600
32x/32 = 600/32
x = 18.75
I'll round it to 19. So 19 out of 150 cars fail the test. Find the percentage of this and compare it to the 30% estimate
19 /150 = 0.127
0.127(100) = 12.7%
12.7% is obviously lower than 30% so yes it is strong evidence the percentage of the fleet out of compliance is different from their initial thought
The answer is: [A]: " 20a − 5b − 9 " .
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Explanation:
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(12a <span>+ 7b) + (−6a − 9) + (14a − 12b) =
12a </span><span>+ 7b + 1(−6a − 9) + 1(14a − 12b) =
</span>
12a + 7b + (1*-6a) + (1*-9) + (1*14a) + (1* -12b) =
12a + 7b − 6a − 9 + 14a − 12b = ?
Combine the "like terms:
12a − 6a + 14a = 20a ;
7b − 12b = - 5b ;
and then we have "-9" ;
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So, write as: " 20a − 5b − 9 " ; which is: Answer choice: [A].
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Answer:
(x-6) (2x+1)
Step-by-step explanation:
1) move everything over to the left side, so subtract 11x and 6.
2x^2 -11x - 6 = 0
2)multiply 2(a term) with -6 (c term)
x^2 -11x -12
3) factor and find what multiples to -12 and adds up to -11. in this case its -12 and positive 1
(x-12) (x+1)
4) divide -12 and 1 by the original a term (2)
(x-6) (x+1/2)
5) move the denominator of 2 over to the x.
(x-6) (2x+1)
Hey there!
Let's make one and solve it.
Fraction division is solved by using a simple rule:
"keep, switch, flip!"
So if we have:
4/8 divided by 5/9
We keep the 4/8, switch the division to multiplication, and flip the 5/9 to 9/5:
4/8 * 9/5 = 36/40 = 18/20 = 9/10
Hope this helps!
Area of a full circle is PI x r^2
Area = 3.14 x 8^2 = 200.96
Area of a sector is area * central angle / full circle
Area = 200.96 x 5PI/3 / 2PI = 160PI/3
Answer is C.
