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3 years ago

4. Find the circumference of the circ All changes saved

Mathematics

1 answer:

Nat2105 [25]3 years ago

4 0

Answer:

A. 62.8 in.

Step-by-step explanation:

Circumference of a circle = πd

Diameter (d) = 20 in.

Substitute

Circumference = π × 20

Circumference = 62.8318531

Circumference = 62.8 in. (Approximated to nearest tenth)

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The triangles below are congruent and their corresponding parts are marked.

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Write the expression as a square of a binomial: 49x^2+12xy+64y^2

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STEP
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Equation at the end of step 1

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Equation at the end of step
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3 years ago

A box contains 24 transistors,4 of which are defective. If 4 are sold at random,find the following probabilities. i. Exactly 2 a

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SOLUTION

This is a binomial probability. For i, we will apply the Binomial probability formula

i. Exactly 2 are defective

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