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3 years ago

Need help............

Mathematics

1 answer:

monitta3 years ago

8 0

Answer:

Answer=A

Step-by-step explanation:

(when dividing two powers we subtract the upper power by the bottom one)

$\frac{7^{10} }{7^{3} }$

= $7^{10-3}$

$7^{7}$

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Before a computer is assembled, its motherboard goes through a special inspection. Assume only 85% of motherboards pass this ins

andreyandreev [35.5K]

Answer:

(a) The probability that at least 13 of the next 15 motherboards pass inspection is 0.6042.

(b) On average, 1.18 motherboards should be inspected until a motherboard that passes inspection is found.

Step-by-step explanation:

Let X = number of motherboards that pass the inspection.

The probability that a motherboards pass the inspection is P (X) = p = 0.85.

The random variable X follows a Binomial distribution with parameters n and p.

The probability mass function of X is,

$P(X=x)={n\choose x}p^{x}(1-p)^{n-x};\ x=0,1,2,3...$

(a)

Compute the probability that at least 13 of the next 15 motherboards pass inspection as follows:

P (X ≥ 13) = P (X= 13) + P (X = 14) + P (x = 15)

$={15\choose 13}0.85^{13}(1-0.85)^{15-13}+{15\choose 13}0.85^{14}(1-0.85)^{15-14}\\+{15\choose 13}0.85^{16}(1-0.85)^{15-15}\\=0.2856+0.2312+0.0874\\=0.6042$

Thus, the probability that at least 13 of the next 15 motherboards pass inspection is 0.6042.

(b)

Computed the expected number of motherboards should be inspected until a motherboard that passes inspection is found as follows:

$Expected\ value=\frac{1}{p}=\frac{1}{0.85}= 1.1764\approx1.18$

Thus, on average, 1.18 motherboards should be inspected until a motherboard that passes inspection is found.

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4 years ago

Every morning, a deli offers a “commuter special” in which customers can select a pastry, beverage, and a copy of one of the loc

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To find the number of possible combinations, you multiple the possible number of outcomes for each category together. For example, there are 5 choices of pastries, 4 choices of drinks, and 2 newspaper choices, so normally there are 5 x 4 x 2=40 possible combinations. Without a muffin, these numbers would change to 4 x 4 x 2=32. The difference would be 8 possible options, so choice C.

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4 years ago

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A timeline. 27 B C E to 180 C E PAX ROMANA. 44 B C E The Roman Empire was founded. 80 C E The Colosseum was built. 121 C E Hadri

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Answer:

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Step-by-step explanation:

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4 years ago

Which functions have graphs that are steeper than the graph of f(x)=−3x^2?

netineya [11]

Answer:

g(x)=−4x^2 and m(x)=4x^2

Step-by-step explanation:

A horizontal stretch or shrink happens when you multiply the parent function (in this case f(x) = x²) by a number. If this number is between 0 and 1, the graph will be stretched horizontally. If this number is greater than 1, the graph will be shrunk horizontally. If the number is between -1 and 0, the graph will be stretched horizontally and flipped; if the number is less than -1, the graph will be shrunk horizontally and flipped.

The graphs that are horizontally shrunk are steeper than the others. This is m(x)=4x^2 and g(x) = -4x^2.

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3 years ago

What times what equals 450

tankabanditka [31]

$45\times10=450$

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4 years ago

Need help............​

Need help............