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Alenkasestr [34]
3 years ago
11

Let f(x) = −4x + 7 and g(x) = 10x − 6. Find f(g(x)).

Mathematics
1 answer:
Neporo4naja [7]3 years ago
7 0
F(g(x))= -4(10x-6) + 7

f(g(x))= -40x + 24 +7

f(g(x))= -40x +31
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Answer:

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-2x(3 - 5x)

-6x +10x= 4x

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A stock-car race lasted 2.07 hours. how many seconds did the race last?
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50 squared equals 2 + 25 squared equals 2 * 5 equals 10 what is wrong
Klio2033 [76]

Convert to an equation:

50^2=2+25^2=2*5=10

Simplify:

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3 years ago
Consider a large shipment of 400 refrigerators, of which 40 have defective compressors. If X is the number among 15 randomly sel
Vlad [161]

Answer:

The required probability is 0.94

Step-by-step explanation:

Consider the provided information.

There are 400 refrigerators, of which 40 have defective compressors.

Therefore N = 400 and X = 40

The probability of defective compressors is:

\frac{40}{400}=0.10

It is given that If X is the number among 15 randomly selected refrigerators that have defective compressors,

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Apply the probability density function.

P(X=x)=^nC_xp^x(1-p)^{n-x}

We need to find P(X ≤ 3)

P(X\leq3) =P(X=0)+P(X=1)+P(X=2)+P(X=3)\\P(X\leq3) =\frac{15!}{15!}(0.1)^0(1-0.1)^{15}+\frac{15!}{14!}(0.1)^1(1-0.1)^{14}+\frac{15!}{13!2!}(0.1)^2(1-0.1)^{13}+\frac{15!}{12!3!}(0.1)^3(1-0.1)^{12}\\

P(X\leq3) =0.944444369992\approx 0.94

Hence, the required probability is 0.94

4 0
3 years ago
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