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MArishka [77]
3 years ago
9

A rectangle has dimensions 5 and one fourth

Mathematics
1 answer:
Mariulka [41]3 years ago
8 0
The area of one triangle is 28.875 inches.
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A box contains 24 transistors,4 of which are defective. If 4 are sold at random,find the following probabilities. i. Exactly 2 a
zavuch27 [327]

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

\begin{gathered} \lparen\frac{5}{6})^4=\frac{625}{1296} \\ =0.4823 \end{gathered}

hence the answer is 0.4823

(iii) All are defective

\begin{gathered} \lparen\frac{1}{6})^4=\frac{1}{1296} \\ =0.00077 \end{gathered}

(iv) At least one is defective

This is 1 - probability that none is defective

\begin{gathered} 1-\lparen\frac{5}{6})^4 \\ =1-\frac{625}{1296} \\ =\frac{671}{1296} \\ =0.5177 \end{gathered}

Hence the answer is 0.5177

3 0
1 year ago
Is the triangle with side lengths of 20 mm, 24 mm,<br> and 36 mm a right triangle
adoni [48]

Answer:

no it's an acute triangle

Step-by-step explanation:

why? because any angle below 90 degrees is considered an acute triangle which in your case 20,24, and 36 are all very far from being a right triangle

7 0
3 years ago
What is <br> -5 3/4 - 3 1/2 =
Luba_88 [7]

Answer:

-9 1/4

Step-by-step explanation:

-5 3/4 - 3 1/2

-5 3/4 - 3 2/4

-9 1/4

7 0
2 years ago
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Write an EQUATION for the nth term of each arithmetic sequence<br><br> -1,-0.5,0,0.5,...
kaheart [24]
Ninth term is 2.5

you are adding 0.5 each time

-1,-0.5,0,0.5,1,1.5,2,2.5
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Help plz..And No links!! I repeat No links!!
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There are 24 students
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