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2 years ago

Help me !!! please 50 points!!

Mathematics

1 answer:

Andrej [43]2 years ago

8 0

Answer:

the first step to eliminate d is to multiply equation B by 5

second :(m,n) (-6,-11)

value of a can be substituted into equation D to solve the system of equations is 7b-1

Step-by-step explanation:

first equation:

4c=d-8 or 4c-d=-8

c=5d+8 or c-5d=8

so the first step to eliminate d is to multiply equation B by 5

second equation :

n=3m+7 or n-3m=7

n-2m=1

n-3m=7

solve :

1-eliminate n by subtracting two equation : : n-2m-(n-3m)=1-7

-2m+3m=-6

m=-6

substitute m: n-3(-6)=7 , then n+18=7

n=7-18=-11

third :

a=3b+6 or a-3b=6

a=7b-1

find a

a-3b=6

value of a can be substituted into equation D to solve the system of equations is 7b-1

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P( trucks undergoing a brake inspection passes the test) = 75% = 0.75

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There are n independent trial.
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$P(8\leq x \leq 10) = P(x = 8) + P(x = 9) + P(x = 10)\\= \binom{15}{8}(0.75)^8(1-0.75)^7 + \binom{15}{9}(0.75)^9(1-0.75)^6 + \binom{15}{10}(0.75)^{10}(1-0.75)^5\\= 0.0393 + 0.0917 + 0.1651\\= 0.2961$

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2 years ago

If y varies directly as x, and y is 48 when x is 6, which expression can be used to find the value of y when x is 2?

sertanlavr [38]

y = ( 48 *2 ) / 6

Step-by-step explanation:

If y varies directly as x they are directly proportional, which means they relate to each other in the same way....

2 : y = 6: 48

what is y if x = 2?

The value of y can be found if you write it a two fracrions

2 : y = 6 : 48

2 / y = 6 / 48

cross multiply the fractions gives

6*y = 48 *2

divide left and right of the = sign by 6 gives the answer:

y = ( 48 *2 ) / 6

(if you solve it you get y = 12 but that was not the question).

Other method:

multiply left and right of the = sign by y

2 * y/y = y *6 / 48

6y / 48 = 2 * 1

multiply left and right of the = sign by 48

6y * 48/48 = ( 48 *2 )

6y = ( 48 *2 )

divide left and right of the = sign by 6

6/6* y = ( 48 *2 )/6

y = ( 48 *2 ) / 6

(if you solve it you get y = 12 but that was not the question).

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