MATHEMATICS HIGH SCHOOL

MDM4U11. Avery and Bradley work at a large electronics manufacturer that produces DVD players. The
defective rate on the assembly line has gone up to 12% and the manager wants to know the
probability that a skid of 50 DVD players will contain at least 3 defective units.
a) Help Avery use the binomial distribution P(x)=, C.pqrs to answer this question

Answers

Answer 1
Answer:

Answer:

0.9487

Step-by-step explanation:

a) The probability of having a defective product = p = 12% = 0.12

The probability of not having a defective product = q = 1 - p = 1 - 0.12 = 0.88

The number of DVD players = n = 50

X is the number of defective products.

The  probability that a skid of 50 DVD players will contain at least 3 defective units = P(X ≥ 3) = 1 - P(X ≤ 2)

P(X ≤ 2) = P(X = 0) + P(X = 1) + P(X = 2)

Using binomial:

P(X = 0) = C(n,x)p^xq^(n-x)=C(50,0)p^0q^(50-0)=(50!)/((50-0)!0!)*0.12^0*0.88^(50-0)=0.0017

P(X = 1) = C(n,x)p^xq^(n-x)=C(50,1)p^1q^(50-1)=(50!)/((50-1)!1!)*0.12^1*0.88^(50-1)=0.0114

P(X = 2) = C(n,x)p^xq^(n-x)=C(50,2)p^2q^(50-2)=(50!)/((50-2)!2!)*0.12^2*0.88^(50-2)=0.0382

P(X ≤ 2)= 0.0017 + 0.0114 + 0.0382 = 0.0513

P(X ≥ 3) = 1 - P(X ≤ 2) = 1 - 0.0513 = 0.9487 = 94.87%

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Your team dives for 28 lobsters over 7 days which integer represents the average daily lobster catch

Answers

Answer:

4 lobsters a day

Step-by-step explanation:

28 / 7 = 4

if the radius of a circle is 3.5 inches its diameter is ____ inches and its approximate area is____ square inches

Answers

Answer:

Diameter = 7 inches

Area of circle is 38.46 inches²

Step-by-step explanation:

Given :The radius of a circle is 3.5 inches.

We have to find its diameter and area.

Since diameter is twice of radius.

So radius = 3.5 inches

Diameter = 2× 3.5 inches = 7 inches

Area of circle = \pi r^2

Substitute, r = 3.5

Area of circle = \pi (3.5)^2

Simplify , we have,

Area of circle = \pi 12.25

Using π = 3.14

We have,

Area of circle = 38.465

Thus, Area of circle is 38.46 inches²
The diameter is 7 inches and the area is 38.465. I got the answer by taking the area of a circle's formula which is 

pi r ^2 

Use cross multiplication to solve the following proportion. 1. /6 = 15/18​

Answers

Answer:

x=5

Step-by-step explanation:

x/6=15/18

18x=6 times 15

18x=90/18

x=5

During the​ year, FastDry Corporation has $ 340,000 in​ revenues, $ 155,000 in​ expenses, and $ 12,000 in dividend declarations and payments. Net income for the year​ was:

Answers

Answer:

$185,000

Step-by-step explanation:

We have been been given that during the​ year, Fast Dry Corporation has $ 340,000 in​ revenues, $ 155,000 in​ expenses, and $ 12,000 in dividend declarations and payments.

We will use following formula to solve our given problem.

\text{Net income}=\text{Revenues}-\text{Expenses}

\text{Net income}=\$340,000-\$155,000

\text{Net income}=\$185,000

Therefore, the net income for the year was $185,000.

The Greens want to put an addition on their house 18 months from now. They will need to save $10,620 in order to achieve this goal. They set aside the same amount each month, and after a year discover they have saved $6,120. The Greens must adjust their plan in order to meet their goal, so they came up with the following options: Option A: Stay with saving the original amount each month but put the addition on one month later than originally planned. Option B: Increase the amount of money they save each month by $120 from their original plan.

Answers

Answer:

So he should go with option B

Step-by-step explanation:

The Greens will need to save to achieve his goal  = $10,620

After one year if they have saved $6120.00 this means they save

6120 ÷ 12 = $510 per month

This means after 18 months they save

510 × 18 = $9,180 only. this is not enough for his goal.

so if he increases the amount of money by adding $120 from their original plan he could achieve his goal

= 510 + 120 = $630 per month

= 630 × 18 months = $11,340

So he should go with option B.
option b. is what I would go with

What is this ->14y - 51=187 + 4y

is y =17 the solution to the equation ?
you need to show or write how u know ??


PLEASE help ?!

Answers

so you want to get all of the unknowns on one side and all the kknowns on the other (this only works with one placeholder)
with equation you must do the same thing to both sides (except divide by 0 which is not allowed and undifined) so that the equation stays equall so

14y-51=187+4y
so add 51 to both sides
14y=238+4y
subtract 4y from both sides
10y=238
divide both sides by 10
y=23.8
(y=17 would make the equation false)

answer is y=23.8
14y-51=187+4y \n 10y=187+51 \n 10y=238 \n y=23.8 so sorry but in this case the answwer is not 17. the first thing i did was rewrite the equation, then i moved like terms to the same sides (y's on the left numbers on the right), then i combined like terms (i did this for the y's in the previous step because i did it menatally), finally i isolated y by dividing by 10 to get the answer of y=23.8
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