A container holds 50 electronic components, of which 10 are defective.1. If 6 components are drawn at random from the container, the probability that at least 4 are not defective is ?
A) 0.26
B) 0.42
C) 0.75
D) 0.91
E) 1.00
2. If 8 components are drawn at random from the container, the probability that exactly 3 of them are defective is ?
A) 0.147
B) 0.203
C) 0.300
D) 0.375
E) 0.750

Answers

Answer 1

Answer: 1.) q = P(defective) = 10/50 = 0.2
p = P(not defective) = 1 - P(defective) = 1 - 0.2 = 0.8
P(x) = nCr p^x q^(n-x)
P(x ≥ 4) = P(4) + P(5) + P(6) = 6C4 * (0.8)^4 * (0.2)^2 + 6C5 * (0.8)^5 * 0.2 + (0.8)^6 = 15 * 0.4096 * 0.04 + 6 * 0.32768 * 0.2 + 0.262144 = 0.24576 + 0.393216 + 0.262144 = 0.90112
Option D is the correct answer.

2.) p = P(defective) = 10/50 = 0.2
q = P(not defective) = 1 - P(defective) = 1 - 0.2 = 0.8
P(x) = nCr p^x q^(n-x)
P(x = 3) = 8C3 * (0.2)^3 * (0.8)^5 = 8C3 * 0.008 * 0.32768 = 56 * 0.008 * 0.32768 = 0.1468
Option A is the correct answer.

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The numbers 4, 5, 6, and 7 are on a spinner. You spin the spinner twice. Which calculation proves that landing on an even number for the first spin and the second spin are independent events?

Answers

Not sure what that dude is even saying. The answer is C- P(A and B)=2/4*2/4

Hope this helped.

Answer:

As long as the numbers are in equal proportion on the spinner, the probabilty of landing on an even number for the first and second spin is 1/4, or 25%.

Step-by-step explanation:

If there are four numbers on a spinner, all in equal proportion, than the probability of getting an even number (either 4 or 6) on any spin is 2/4, or 1/2, which is also 50%. Since the results of the first spin do not influence the results of the second spin, then they are independent events. So, if the likelihood of landing on even each time is 1/2, then we would mutliply 1/2 by 1/2 in order to find the probability that landing on an even number would happen in both spins. Our result would be 1/4, or 25%.

Jonas is making a trail mix recipe that calls for 3 1/2 cups of nuts and 1 1/2 cups of raisins. Jonas mixes the nuts and raisins together. He will then divide the mixture into plastic bags containing 1/4 of trail mix in each bag. How many plastic bags does Jonas needs?

Answers

Answer:

The total number of plastic bags is 20.

Step-by-step explanation:

It is given that Jonas is making a trail mix recipe that calls for $3(1)/(2)$ cups of nuts and $1(1)/(2)$ cups of raisins.

$Nuts=3(1)/(2)=(7)/(2)$

$Jonas=1(1)/(2)=(3)/(2)$

Jonas mixes the nuts and raisins together. Total number of cups in a trail mix recipe is

$(7)/(2)+(3)/(2)=(7+3)/(2)=5\text{ cups}$

It is given that he divide the mixture into plastic bags containing 1/4 cup of trail mix in each bag. So, total number of required plastic bags is

$(5)/((1)/(4))=5* 4=20$

Therefore the total number of plastic bags is 20.

3.5+1.5=5
There are five total cups
Assuming you mean 1/4 a cup and not 1/4 of the trail mix
That would be 4 bags a cup, so the equation would be 4 bags times 5 cups.
4*5=20
20 plastic bags

Two different pairs of negative integers, x and y, that make the statement x − y = −1 true

Answers

one way is
solve for x
add y to both sides
x=y-1

sub negative values for y and get negative values for x
if y=-1, x=-2
if y=-3, x=-4
and so on

some points
(-2,-1)
(-3,-2)
(-4,-3)
(-5,-4)
(-6,-5)
etc

No, X+Y (both of them being negative integers) equal -1. Just a small miscalculation.

Blank divided by 9 equals 6

Answers

54 divided by 9 equals 6.

well to get the answer do 9 x 6 which is 54 so your answer would be 54

Please help i cant figure this out

Answers

First work out the bracket: -1 2/3, make this into one fraction
a b/c = (ac+b)/c
ignore the negative for now, so 3+2= 5 so your fraction is -5/3
Then multiply: 3/5 x -5/3 = -15/15 so your answer is -1

-1 2/3 = - (1*3+2/3)
= - (3+2/3)
= -5/3

Now lets multiply
= 3/5 * -5/3
= 3*-5 / 5*15
= -15/15
= -1

What is the value of the discriminant, b^2 − 4ac, for the quadratic equation 0 = x^2 − 4x + 5, and what does it mean about the number of real solutions the equation has?

Answers

b^2 - 4ac in this quadratic equation would be 16 - 20, or -4. A negative discriminant means there is no real answer to the equation.

Answer: I believe it’s B but when I solved it normally I got -36 but I guess it just dident work right because when I took away the negative it worked

Step-by-step explanation:

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