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3 years ago

I need Help please HELP MEE

Mathematics

1 answer:

klio [65]3 years ago

4 0

Answer:

The radius of garden is 21 feet.

Step-by-step explanation:

Given that the formula of circumference is C = 2×π×r. So you have to substitute the following values into the formula :

$C = 2 \times \pi \times r$

$let \: C = 131.88 \\ let \: \pi = 3.14$

$131.88 = 2 \times 3.14 \times r$

$131.88 = 6.28 \times r$

$131.88 \div 6.28 = r$

$21 = r$

$r = 21 \: feet$

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3 years ago

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Using the formula, we have

$\begin{gathered} P_x=^nC_x\left(p^x\right?\left(q^{n-x}\right) \\ Where\text{ } \\ P_x=binomial\text{ probability} \\ x=number\text{ of times for a specific outcome with n trials =2} \\ p=\text{ probability of success = }\frac{4}{24}=\frac{1}{6} \\ q=probability\text{ of failure =1-}\frac{1}{6}=\frac{5}{6} \\ ^nC_x=\text{ number of combinations = }^4C_2 \\ n=\text{ number of trials = 4} \end{gathered}$

Note that I made the probability of being defective as the probability of success = p

and probability of none defective as probability of failure = q

Exactly 2 are defective becomes the binomial probability

$\begin{gathered} P_x=^4C_2\times\lparen\frac{1}{6})^2\times\lparen\frac{5}{6})^{4-2} \\ P_x=6\times\frac{1}{36}\times\frac{25}{36} \\ P_x=\frac{25}{216} \\ =0.1157 \end{gathered}$

Hence the answer is 0.1157

(ii) None is defective becomes