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Setler [38]
3 years ago
8

Jacob drove a total of 15.235 miles over a 5-day period. How many miles did he drive each day if he drove the same distance each

day?
3.047 miles

3.047 miles

3.407 miles

3.407 miles

30.047 miles

30.047 miles

30.407 miles
Mathematics
2 answers:
8090 [49]3 years ago
6 0
15.235=5x
x= miles per day
your answer would be 3.047 miles
Virty [35]3 years ago
4 0

Answer:

3.047

Step-by-step explanation:

\frac{miles}{days} \\ \\\frac{15.235}{5} = \frac{?}{1} \\

When solving equations you multiply the denominator of one of the fractions by the others numerator. Here the available numerator is 15.235 and the others denominator is 1. This means that we do 15.235 times 1, which is equal to 15.235. The next step is to divide by the remaining denominator or numerator. Here the remaining denominator is 5. This means that we divide 15.235 by 5 which is equal to 3.074.

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Classify 8x^3+32x^2+x+4.......
liq [111]

Answer:

(x+4)( 8x^{2}+1)

Step-by-step explanation:

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4 0
1 year ago
Eights rooks are placed randomly on a chess board. What is the probability that none of the rooks can capture any of the other r
erastova [34]

Answer:

The probability is \frac{56!}{64!}

Step-by-step explanation:

We can divide the amount of favourable cases by the total amount of cases.

The total amount of cases is the total amount of ways to put 8 rooks on a chessboard. Since a chessboard has 64 squares, this number is the combinatorial number of 64 with 8, 64 \choose 8 .

For a favourable case, you need one rook on each column, and for each column the correspondent rook should be in a diferent row than the rest of the rooks. A favourable case can be represented by a bijective function  f : A \rightarrow A , with A = {1,2,3,4,5,6,7,8}. f(i) = j represents that the rook located in the column i is located in the row j.

Thus, the total of favourable cases is equal to the total amount of bijective functions between a set of 8 elements. This amount is 8!, because we have 8 possibilities for the first column, 7 for the second one, 6 on the third one, and so on.

We can conclude that the probability for 8 rooks not being able to capture themselves is

\frac{8!}{64 \choose 8} = \frac{8!}{\frac{64!}{8!56!}} = \frac{56!}{64!}

7 0
3 years ago
Lockheed Martin, the defense contractor designs and build communication satellite systems to be used by the U.S. military. Becau
Ray Of Light [21]

Answer:

  p(on schedule) ≈ 0.7755

Step-by-step explanation:

A suitable probability calculator can show you this answer.

_____

The z-values corresponding to the build time limits are ...

  z = (37.5 -45)/6.75 ≈ -1.1111

  z = (54 -45)/6.75 ≈ 1.3333

You can look these up in a suitable CDF table and find the difference between the values you find. That will be about ...

  0.90879 -0.13326 = 0.77553

The probability assembly will stay on schedule is about 78%.

5 0
3 years ago
F(x) = 5x2 − 70x + 258. Complete the square.
astraxan [27]
5(x^2 - 14x + 258/5)
= 5((x-7)^2 -49+258/5)
= 5((x-7)^2 + 13/5)
= 5(x-7)^2 + 13
I belive this is how it should be done
7 0
4 years ago
What are the solutions to the equation <br><img src="https://tex.z-dn.net/?f=%20%7Cx%20-%208%7C%20%20%2B%202%20%3D%2020" id="Tex
nexus9112 [7]

Answer:

Solutions are -10 and 26

Step-by-step explanation:

( - the abolute sign I'm using

( x - 8 ) + 2 = 20

( x - 8 ) = 18

x - 8 = 18 (postive case)

x - 8 + 8 = 18 + 8

x = 26

( x - 8 ) = 18

x - 8 = -18 (negative case)

x - 8 + 8 = -18 + 8

x = -10

8 0
4 years ago
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