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Afina-wow [57]
3 years ago
8

A box contains 6 plain pencils and 2 pens. A second box contains 3 color pencils and 5 crayons. One item from each box is chosen

at random. What is the probability that a pen from the first box and a crayon from the second box are selected?
Write your answer as a fraction in simplest form.

please help :(
Mathematics
1 answer:
yKpoI14uk [10]3 years ago
5 0

Answer: The probability of picking a pen from the first box and a crayon from the second box is 5/8 x 1/4 = 5/32.

Step-by-step explanation:

What is the probability of choosing a pen from the first box? It is 5/8.

 

What is the probability of selecting a crayon from the second box? It is 3/12 = 1/4.

The probability of picking a pen from the first box and a crayon from the second box is 5/8 x 1/4 = 5/32.

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Formula to find the sample size :

n=p(1-p)(\dfrac{z_{\alpha/2}}{E})^2

Given : Confidence level : (1-\alpha)=0.90

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z-value for 90% confidence interval (using z-table)=z_{\alpha/2}=1.645

Prior estimate of the population proportion (p) of customers who keep up with regular vehicle maintenance is unknown.

Let we take p= 0.5

Margin of error : E= 2%=0.02

Now, the required sample size will be :

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svet-max [94.6K]

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tan (C) = 2.05

Step-by-step explanation:

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Therefore, tangent of angle C is given as:

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Plug in the given values and solve for angle C.This gives,

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