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igomit [66]
2 years ago
13

What is the solution of the set?

Mathematics
1 answer:
ziro4ka [17]2 years ago
3 0
x^2=16-4x\ \ \ |+4x\\\\x^2+4x=16\ \ \ \ |+2^2\\\\\underbrace{x^2+2\cdot x\cdot2+2^2}_{(a+b)^2=a^2+2ab+b^2}=16+2^2\\\\(x+2)^2=20\iff x+2=\pm\sqrt{20}\\\\x+2=-\sqrt{4\cdot5}\ \vee\ x+2=\sqrt{4\cdot5}\ \ \ |-2\\\\x=-2-2\sqrt5\ \vee\ x=-2+2\sqrt5

Answer: D.
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You have 3/4 yard of pipe how many pieces can you cut the yard into If each yard eighth yard ?
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six

Step-by-step explanation:

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5 0
3 years ago
How many centimeters in 60 inches?
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7 0
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3 0
3 years ago
A corporation has 11 manufacturing plants. Of these, seven are domestic and four are outside the United States. Each year a perf
nikdorinn [45]

Answer:

The probability that a performance evaluation will include at least one plant outside the United States is 0.836.

Step-by-step explanation:

Total plants = 11

Domestic plants = 7

Outside the US plants = 4

Suppose X is the number of plants outside the US which are selected for the performance evaluation. We need to compute the probability that at least 1 out of the 4 plants selected are outside the United States i.e. P(X≥1). To compute this, we will use the binomial distribution formula:

P(X=x) = ⁿCₓ pˣ qⁿ⁻ˣ

where n = total no. of trials

           x = no. of successful trials

           p = probability of success

           q = probability of failure

Here we have n=4, p=4/11 and q=7/11

P(X≥1) = 1 - P(X<1)

          = 1 - P(X=0)

          = 1 - ⁴C₀ * (4/11)⁰ * (7/11)⁴⁻⁰

          = 1 - 0.16399

P(X≥1) = 0.836

The probability that a performance evaluation will include at least one plant outside the United States is 0.836.

7 0
2 years ago
A drawing has a scale of 1:40.
uranmaximum [27]

Answer:

300,000 cm^{2} is bigger

Step-by-step explanation:

10 x 40 = 400

18 x 40 = 720

400 x 720 = 288,000 cm^{2} (area of the bedroom)

300,000 cm^{2} is bigger by 12,000 cm^{2} (so the kitchen is bigger)

4 0
3 years ago
Read 2 more answers
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