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2 years ago

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When purchasing bulk orders of batteries, a toy manufacturer uses this acceptance sampling plan: Randomly select and test 39 b

atteries and determine whether each is within specifications. The entire shipment is accepted if at most 3 batteries do not meet specifications. A shipment contains 6000 batteries, and 1% of them do not meet specifications. What is the probability that this whole shipment will be accepted? Will almost all such shipments be accepted, or will many be rejected?

1 answer:

Ilia_Sergeevich [38]2 years ago

7 0

Answer:

This problem is solved using binomial probability,

I have solved this question on paper (Pictures Attached Here)

As per the answer, almost all shipment will be accepted.

As the probability is close to 1

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What can be concluded about the graphed polygon? mc013-1.jpg The polygon is a rectangle. Adjacent sides of the polygon are perpe

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Read 2 more answers

JL has coordinates J(-6, 1) and L(-4,3).<br> Find the coordinates of the midpoint.

ikadub [295]

Answer:

The coordinates of the mid-point of JL are (-5 , 2)

Step-by-step explanation:

If point (x , y) is the mid-point of a segment whose end-points are $(x_{1},y_{1})$ and $(x_{2},y_{2})$ , then $x=\frac{x_{1}+x_{2}}{2}$ and $y=\frac{y_{1}+y_{2}}{2}$

∵ JL is a segment

∵ The coordinates of J are (-6 , 1)

∴ $x_{1}$ = -6 and $y_{1}$ = 1

∵ The coordinates of L are (-4 , 3)

∴ $x_{2}$ = -4 and $y_{2}$ = 3

Lets use the rule above to find the mid-point of JL

∵ $x=\frac{-6+-4}{2}=\frac{-10}{2}$

∴ x = -5

∴ The x-coordinate of the mid-point is -5

∵ $y=\frac{1+3}{2}=\frac{4}{2}$

∴ y = 2

∴ The y-coordinate of the mid-point is 2

∴ The coordinates of the mid-point of JL are (-5 , 2)

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2 years ago

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1 year ago

If the price of attending Big Benefits University is $42,000 a year, including tuition, fees, books, and foregone earnings, what

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Answer:

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Step-by-step explanation:

Given : The price of attending Big Benefits University is $42,000 a year, including tuition, fees, books, and foregone earnings

To Find : what is the marginal cost of attending, if it takes you 5 years to graduate, and you assume a 3% annual inflation rate?

Solution:

Principal = $42000

Time = 5 years

Rate = 3% = 0.03

Formula : $A=P(1+r)^t$

$A_1=42000(1+0.03)^1$

$A_1=43260$

$A_2=42000(1+0.03)^2$

$A_2=44557.8$

$A_3=42000(1+0.03)^3$

$A_3=45894.534$

$A_4=42000(1+0.03)^4$

$A_4=47271.370$

$A_5=42000(1+0.03)^4$

$A_5=48689.511$

So , Marginal cost = 43260+44557.8+45894.534+47271.370+48689.511

Marginal cost = $229673.215

Hence the marginal cost of attending, if it takes you 5 years to graduate, and you assume a 3% annual inflation rate is $229673.215

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