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Temka [501]
3 years ago
7

A sample of 4 different calculators is randomly selected from a group containing 17 that are defective and 37that have no defect

s. What is the probability that at least one of the calculators is defective?
Mathematics
1 answer:
ArbitrLikvidat [17]3 years ago
5 0

Answer: 0.8025

Step-by-step explanation:

Given : The number of defective calculators : 17

The number of calculators are not defective : 37

Total calculators : 37+17=54

The probability of the calculators are defective : \dfrac{17}{54}=\dfrac{1}{3}

Binomial distribution formula :-

P(x)=^nC_xp^x(1-p)^{n-x}, where P(x) is the probability of success in x trials, n is total trials and p is the probability of success for one trial.

The probability that at least one of the calculators is defective is given by :-

P(x\geq1)=1-P(0)\\\=1-(^4C_0(\dfrac{1}{3})^0(1-\dfrac{1}{3})^4)\\\\=1-(\dfrac{2}{3})^4=0.80246913\approx0.8025

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Because that's how many times the quotient goes into the whole number. 100 divided by 4 = 25 100 divided by a lesser number than 4, say 2, = 50 100 divided by an even lesser number than 4, say 1, = 100. Notice the pattern. Each time we divide by a lesser number, the quotient (the answer) gets larger and larger Dividing by 1 already equals a quotient that is EQUAL to the original number we are dividing. Thus, for the pattern to continue, the quotient must become greater than the number. 100 divided by an even lesser number than 1, say .5 = 200.
7 0
4 years ago
When would you use the total 180° to find the measure of an angle?
Rufina [12.5K]

Answer:

In any instance.

Step-by-step explanation:

A triangle has three sides, and the angle measures for all three angles will add up to a total of 180°.

∠A + ∠B + ∠C = 180°

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3 0
3 years ago
A water faucet runs at a rate of 4/5 gallon per 1/5 minute. What is the unit rate of the faucet? *
vodomira [7]

Answer:

<h2>4gallons per minute</h2>

Step-by-step explanation:

Step one:

the unit rate is the amount of water per unit of time

Given data

4/5 gallon to decimal= 0.8gallon

1/5 minute decimal= 0.2 minute

We are told that 0.8 gallons run in 0.2 minute

                      then x gallon will run in 1 minute

cross muliply we have

x=0.8/0.2

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6 0
3 years ago
Plz help ill give you brainlist
Fofino [41]
Answer: (A) y > 3

--------------------------------------------------------------
Equation given
--------------------------------------------------------------
2(3y - 2) > 14

--------------------------------------------------------------
Use distributive property to open up the bracket
--------------------------------------------------------------
6y - 4 > 14

--------------------------------------------------------------
Add 4 to both sides
--------------------------------------------------------------
6y > 18

--------------------------------------------------------------
Divide by 3 on both sides
--------------------------------------------------------------
y > 3

-------------------------------
Answer: y > 3
-------------------------------
8 0
3 years ago
Solve: -3x+8+5x = -4
Reika [66]

Answer:

X=-6

If satisfied, please mark brainliest

Step-by-step explanation:

-3x+8+5x=-4

Subtract 8 from both sides and add

2x=-12

X=-6

4 0
3 years ago
Read 2 more answers
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