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Helen [10]
3 years ago
10

A certain hybrid car can travel 1 4/11 times as far as a similar nonhybrid car can, each one gallon of gasoline. If the nonhybri

d car can travel 33 miles per gallon of gasoline, how far can the hybrid travel on 4/5 gallon of gasoline?
Mathematics
1 answer:
stich3 [128]3 years ago
4 0

Answer:

On 4/5 gallon of gasoline, hybrid car will travel 36 miles of distance.

Step-by-step explanation:

Suppose, non hybrid car travel "x" distance in 1 gallon of gasoline

then, hybrid will travel " 1 4/11* x" distance in 1 gallon of gasoline

Given that, non hybrid car travel, x = 33 miles per gallon

Then, hybrid car travel, 1 4/11*x = 1 4/11* 33 = 45 miles per gallon

On 1 gallon of gasoline hybrid car travel= 45 miles

On 4/5 gallon of gasoline hybrid car will travel= 4/5*45= 36 miles

On 4/5 gallon of gasoline, hybrid car will travel 36 miles of distance.

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Mhanifa could you please answer this last question for me. What is MXH in the circle below? A.Major arc, B.Minor Arc, C Semicirc
Nookie1986 [14]

Answer:

  • C. Semicircle

Step-by-step explanation:

MH is the diameter and it divides the circle in half.

MXH is the arc between the endpoints of the diameter, therefore is  semicircle.

Correct choice is C

5 0
3 years ago
Five men and 5 women are ranked according to their scores on an examination. Assume that no two scores are alike and all possibl
serg [7]

Answer:

P(X=i) where i = 1,2,3,4,5,6,7,8,9,10 = 1/2, 5/18, 5/36, 5/84, 5/252, 1/252, 0, 0, 0, 0.

Step-by-step explanation:

X denotes the highest ranking achieved by the woman.

When X=1, the top ranked person is a female.

When X=2, the first person is a male and the second ranked person is a female.

Similarly, when X=3, the first two ranked persons are male and the third one is a female.

When X=4, the first three persons are male and the fourth one is a female.

When X=5, the first four persons are males and the fifth person is a female.

When X=6, the first five people are males and the sixth person is a female. The rest of the four people are also females since there are only five men in a sample space.

The probability for X=7, 8, 9, 10 is zero because there are only five men who can achieve the first five positions and the last highest rank that can be achieved by a woman is 6.

To compute the probabilities, we will use the formula:

<u>No. of ways a female can be ranked X/Total number of ways to rank 10 people</u>

Note that the total number of ways of ranking 10 different people is 10P10 or 10!

For X=1, the first position can be taken by any of the 5 women. The possible ways of the first person being a woman is 5C1. The rest of the 9 people can take any of the ranks. They can be ordered in 9P9 ways.

So, P(X=1) = (5C1)(9P9)/(10P10) = (5 x 362880)/(3628800) = 1/2

For X=2, the first rank must be taken by a male. The number of ways to arrange the first person as a male out of the 5 men can be calculated by 5P1. The second position must be taken by a female and rest of the 8 positions can be taken by any of the 8 people in 8P8 ways.

So, P(X=2) = (5P1)(5C1)(8P8)/(10P10) = (5 x 5 x 40320)/(3628800) = 5/18

For X=3, first two people must be men and the number of ways to arrange 2 out of 5 males at the first two positions is 5P2. The third position is a female. The rest of the 7 people can be ordered in 7P7 ways.

P(X=3) = (5P2)(5C1)(7P7)/(10P10) = (20 x 5 x 5040)/(3628800) = 5/36

P(X=4) = (5P3)(5C1)(6P6)/(10P10) = (60 x 5 x 720)/(3628800) = 5/84

P(X=5) = (5P4)(5C1)(5P5)/(10P10) = (120 x 5 x 120)/(3628800) = 5/252

P(X=6) = (5P5)(5C1)(4P4)/(10P10) = (120 x 5 x 24)/(3628800) = 1/252

P(X=7) = 0

P(X=8) = 0

P(X=9) = 0

P(X=10) = 0

7 0
3 years ago
7/12 - 1/6 in simplest form
juin [17]

Answer:

5/12

Step-by-step explanation:

1/6 can be turned into 2/12

7/12-2/12=5/12

8 0
2 years ago
What is 5 1/2 of 60%
EleoNora [17]
You mean 60%of 5 1/2? that makes more sense...


i would do it like this:

\frac{60}{100}* 5\frac{1}{2}

(60% is the same as \frac{60}{100}

5\frac{1}{2}=\frac{11}{2}

(so that there is no confusion, i've put it into an improper fraction

now we can multiply:
\frac{60}{100}* \frac{11}{2}=

\frac{6}{10}* \frac{11}{2}=

\frac{3}{5}* \frac{1}{2}=



\frac{3*11}{10}=

\frac{33}{10}=

which is 3.3.

so 60% of 5 and a half is 3.3.


6 0
3 years ago
Find the lengths and angle measures listed in your answer box below
-BARSIC- [3]

AD = 6

EC = 4.2

AC = 8.4

m&ABC = 12

m&BCE = 10.2

m&DEC = 8.4

7 0
3 years ago
Read 2 more answers
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