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Neko [114]
3 years ago
13

Use the formula C(n, x)pxqn − x to determine the probability of the given event. (Round your answer to four decimal places.) The

probability of exactly no successes in seven trials of a binomial experiment in which p = 1/4
Mathematics
1 answer:
miskamm [114]3 years ago
7 0

Answer: 0.1334

Step-by-step explanation:

Given

There are seven trails with a probability of success is  p=\frac{1}{4}

\therefore q=1-p\\q=1-\frac{1}{4}\\q=\frac{3}{4}

Using the binomial distribution, the Probability of exactly no success i.e. x=0 is given by

\Rightarrow ^7C_0\cdot p^0 \cdot q^{7-0}\\\Rightarrow 1\times(\frac{1}{4})^0 \cdot (\frac{3}{4})^7\\\Rightarrow 1\times 1 \cdot (0.75)^7\\\Rightarrow 0.1334

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ivanzaharov [21]

Answer:

96 sq. m

Step-by-step explanation:

If the width is x, the length is x + 4 and since perimeter = 2 * (length + width), we can write:

40 = 2(x + x + 4)

40 = 2(2x + 4)

20 = 2x + 4

16 = 2x

x = 8 so x + 4 = 12, therefore the area is 8 * 12 = 96 square meters.

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3 years ago
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2y = x + 3 5y = x - 7 What is the solution set of the given system?
prohojiy [21]
<span>2y = x + 3 then x = 2y - 3
5y = x - 7 then x = 5y + 7

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y = -10/3
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<span>2y = x + 3
</span>2 (-10/3) = x + 3
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x = -9 2/3

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3 years ago
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Mkey [24]
The answer to c. Is 8t+12g
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Use the balanced scale to find the conversion factor that can be used to convert the number of blocks to the weight of the block
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Answer:

the answer is 24 lb

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Stepkby-step explanation:

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An algebra class has 16 students and 16 desks. For the sake of variety, students change the seating arrangement each day. How ma
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Answer: a) 2092278989 b) 576, c) \dfrac{576}{2092278989}

Step-by-step explanation:

Since we have given that

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If the number of rows = 4

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4!\times 4!\\\\=24\times 24\\\\=576

c) How many seating arrangements are there that put Larry, Moe, Curly, and Shemp in the front seats?

\dfrac{576}{2092278989}

Hence, a) 2092278989 b) 576, c) \dfrac{576}{2092278989}

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3 years ago
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