1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ludmilkaskok [199]
3 years ago
9

One institute mandates that for every 100 items scanned through the electronic checkout scanner at a retail​ store, no more than

2 should have an inaccurate price. A recent study of the accuracy of checkout scanners at the stores of a certain company showed​ that, of the 70 company stores​ investigated, 56 violated the​ institute's scanner accuracy standard. If 1 of the 70 company stores is randomly​ selected, what is the probability that that store does not violate the institute scanner accuracy​ standard?
Mathematics
1 answer:
ozzi3 years ago
4 0

Answer:

There is a 20% probability that the store selected does not violate the institute scanner accuracy​ standard

Step-by-step explanation:

70 company stores were investigared.

56 violated the​ institute's scanner accuracy standard.

70-56 = 14 did not violate the institute scanner accuracy​ standard.

If 1 of the 70 company stores is randomly​ selected, what is the probability that that store does not violate the institute scanner accuracy​ standard?

This is 14 divided by 70, so:

P = \frac{14}{70} = 0.2

There is a 20% probability that the store selected does not violate the institute scanner accuracy​ standard

You might be interested in
3x + 25 = 2(4x – 10) solve step by step
bixtya [17]

Answer:

x=9

Step-by-step explanation:

3x + 25 = 2(4x – 10)

3x + 25 = 8x-20

3x-8x=-20-25

-5x=-45

5x=45

x=9

4 0
2 years ago
Read 2 more answers
What are the coefficients in the problem: 392 + 4x - 5y + x
vovangra [49]

Answer:

the coefficients are 4 and 5 and 1

Step-by-step explanation:

the 4 and 5 have a variable in front of them. There's a ghost 1 in front of the x, because it's value is 1 times whatever the value of x is

4 0
2 years ago
-11x-4>-15
Pie

Answer:

x<1

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Anybody wanna bless me with $1-$5 on cashapp??? I’m down bad right now ... ($annaly99)
amm1812

Answer:

Step-by-step explanation:

I dont have cashapp sorry

8 0
2 years ago
A public health organization reports that 40%of baby boys 6-8 months old in the United
Sveta_85 [38]

Using the binomial distribution, the probabilities are given as follows:

  • 0.3675 = 36.75% probability that more than 4 weigh more than 20 pounds.
  • 0.1673 = 16.73% probability that fewer than 3 weigh more than 20 pounds.
  • Since P(X > 7) < 0.05, it would be unusual if more than 7 of them weigh more than 20 pounds.

<h3>What is the binomial distribution formula?</h3>

The formula is:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

C_{n,x} = \frac{n!}{x!(n-x)!}

The parameters are:

  • x is the number of successes.
  • n is the number of trials.
  • p is the probability of a success on a single trial.

The values of the parameters for this problem are:

n = 10, p = 0.4.

The probability that more than 4 weigh more than 20 pounds is:

P(X > 4) = 1 - P(X \leq 4)

In which:

P(X \leq 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)

Then:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{10,0}.(0.4)^{0}.(0.6)^{10} = 0.0061

P(X = 1) = C_{10,1}.(0.4)^{1}.(0.6)^{9} = 0.0403

P(X = 2) = C_{10,2}.(0.4)^{2}.(0.6)^{8} = 0.1209

P(X = 3) = C_{10,3}.(0.4)^{3}.(0.6)^{7} = 0.2150

P(X = 4) = C_{10,4}.(0.4)^{4}.(0.6)^{6} = 0.2502

Hence:

P(X \leq 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.0061 + 0.0403 + 0.1209 + 0.2150 + 0.2502 = 0.6325

P(X > 4) = 1 - P(X \leq 4) = 1 - 0.6325 = 0.3675

0.3675 = 36.75% probability that more than 4 weigh more than 20 pounds.

The probability that fewer than 3 weigh more than 20 pounds is:

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0061 + 0.0403 + 0.1209 = 0.1673

0.1673 = 16.73% probability that fewer than 3 weigh more than 20 pounds.

For more than 7, the probability is:

P(X > 7) = P(X = 8) + P(X = 9) + P(X = 10)

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 8) = C_{10,8}.(0.4)^{8}.(0.6)^{2} = 0.0106

P(X = 9) = C_{10,9}.(0.4)^{9}.(0.6)^{1} = 0.0016

P(X = 10) = C_{10,10}.(0.4)^{10}.(0.6)^{0} = 0.0001

Since P(X > 7) < 0.05, it would be unusual if more than 7 of them weigh more than 20 pounds.

More can be learned about the binomial distribution at brainly.com/question/24863377

#SPJ1

4 0
1 year ago
Other questions:
  • Find the real solutions
    12·2 answers
  • Can someone help mee???
    6·1 answer
  • If a van traveled 200 miles in 5 hours how far would it travel in 8 hours
    7·2 answers
  • Jose has a mask collection. He keeps some in a display case and the rest on the wall. 153 of his masks are on the wall, and 49%
    11·1 answer
  • Find f(3) for the polynomial function F(x)=x^3-9x^2+5x-2
    13·1 answer
  • Why you shouldn't pick on a girl for their grens
    12·2 answers
  • Can someone please answer my question? i have been working on school work all day.
    9·1 answer
  • Mai skated x miles, and Clare skated 35 3 5 farther than that. Write an equation to represent the relationship between the dista
    5·2 answers
  • F. 40% of students use the Math Lab on a consistent basis. If 1,250 students are
    9·1 answer
  • If a area of a rectangle is 45...<br> set up an equation that must be true: <br> w = x<br> L = x-4
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!