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shutvik [7]
3 years ago
11

Name the property:

Mathematics
1 answer:
Naddik [55]3 years ago
3 0

Answer:

Distributive Property

Step-by-step explanation:


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When purchasing bulk orders of batteries, a toy manufacturer uses this acceptance sampling plan: Randomly select and test 55 bat
aleksley [76]

The probability of accepting this shipment is 98%.

What is probability?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

Here, we have

Almost all such shipments will be accepted because the probability of having a sample with more than 3 defective batteries is very low.

The shipment will be accepted if at most 3 batteries don't meet specifications.

This can be modeled as a binomial distribution, where the sample size is n=55 and the probability of not meeting the specifications of any battery is p=0.02.

The shipment will be accepted if D ≤ 3.

The probability of this event is:

P( D ≤ 3) = P(D=0) + P(D=1) + P(D=2) + P(D=3)

P(D=X) = n!/(x!(n-x)!) pˣ(1-p)ⁿ⁻ˣ

P(D=0) = 55!/(0!(55-0)!) 0.02⁰(1-0.02)⁵⁵⁻⁰ = 1× 1 × 0.32 = 0.32

P(D=1) = 55!/(1!(55-1)!) 0.02¹(1-0.02)⁵⁴ = 54 × 0.02 × 0.33= 0.35

P(D=2) = 55!/(2!(55-2)!) 0.02²(1-0.02)⁵³ = 55 ×27 × 0.0004 × 0.34= 0.20

P(D=3) = 55!/(3!(55-3)!) 0.02³(1-0.02)⁵² = 25740× 0.0000008 × 0.35= 0.07

Then,

P( D ≤ 3) = P(D=0) + P(D=1) + P(D=2) + P(D=3)

P( D ≤ 3) = 0.32 + 0.35 + 0.20 + 0.07

P( D ≤ 3) = 0.98

Hence, the probability of accepting this shipment is 98%.

To learn more about the probability from the given link

brainly.com/question/24756209

#SPJ1

4 0
1 year ago
PLEASE HELP! My friend and i cant figure out the answer!!! i attached a picture of the question please help us!!!
satela [25.4K]

Answer:

a.6.66

b.384

c.860

d.166

Step-by-step explanation:

6 0
3 years ago
Which operation should be used to solve x - 5 = 12?
Arlecino [84]

Answer:

addition

Step-by-step explanation:

if u add 5 to both sides, the -5 and the +5 would cancel out, leaving you with x=17

5 0
2 years ago
Read 2 more answers
5x+4(-x-2) = -5x + 2(x-1)+12 solve for x
vivado [14]

Hello!

Answer:

\huge\boxed{x = 4.5}

Starting with:

5x + 4(-x - 2) = -5x + 2(x - 1) + 12

Distribute terms outside of the parenthesis:

5x + 4(-x) + 4(-2) = -5x + 2(x) + 2(-1) + 12

5x - 4x - 8 = -5x + 2x - 2 + 12

Combine like terms:

x - 8 = -3x + 10

Isolate for the "x" variable by adding 3x for both sides:

4x - 8 = 10

Add 8 to both sides:

4x = 18

Divide both sides by 4:

x = 18/4

x = 4.5

Hope this helped! :)

3 0
2 years ago
Read 2 more answers
Find the value of the 7th term in the sequence below.<br> 2, 8, 32, ....
Svetach [21]

Answer: The value of the 7th term is 32,768

Step-by-step explanation:

2* 4 = 8

8* 4 = 32

32 * 4 =  128

128 * 4= 512

512 * 4 = 2048

2048 * 4 = 8192

8192 * 4= 32768

7 0
2 years ago
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