Approximately 5% of calculators coming out of the production lines have a defect. Fifty calculators are randomly selected from the production line and tested for defects. What is the probability that exactly 2 calculators are defective?

Answers

Answer 1

Answer:

0.2611 = 26.11% probability that exactly 2 calculators are defective.

Step-by-step explanation:

For each calculator, there are only two possible outcomes. Either it is defective, or it is not. The probability of a calculator being defective is independent of any other calculator, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

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

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

5% of calculators coming out of the production lines have a defect.

This means that [tex]p = 0.05[/tex]

Fifty calculators are randomly selected from the production line and tested for defects.

This means that [tex]n = 50[/tex]

What is the probability that exactly 2 calculators are defective?

This is P(X = 2). So

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

[tex]P(X = 2) = C_{50,2}.(0.05)^{2}.(0.95)^{48} = 0.2611[/tex]

0.2611 = 26.11% probability that exactly 2 calculators are defective.


Related Questions

Identify the errors made in the finding the inverse of y= x^2 +12x
X= y^2+12x
Y^2= x- 12x
Y^2 = -11x
Y=√11x, for x greater than or equal to 0

Answers

9514 1404 393

Answer:

  y was not substituted for every x

Step-by-step explanation:

To find the inverse of ...

  y = f(x)

you need to solve ...

  x = f(y)

Here, f(x) = x^2 +12x, so f(y) = y^2 +12y

This is not the expression we see on the right of ...

  x = y^2 +12x

Apparently y was not properly substituted into f(x).

what is a negative number that has an absolute value greater than 3?

Answers

Answer:

x > -3

Step-by-step explanation:

Any negative number greater than -3 will have an absolute value greater than 3.

Plz help me find x and y on these triangles​

Answers

Answer:

x=15, y=2

Step-by-step explanation:

By AA similarity, the triangles are similar. Therefore, we can find the ratios of the side lengths.

9/3=3=ratio of the side length of a larger triangle to a smaller one.

3=6/y, y=2

3=x/5, x=15

Hope this helped,

~cloud

please help me with geometry

Answers

Answer:

x = 8

Step-by-step explanation:

Set 2x + 3 = 3x - 5

Solve for x

x = 8

Find all excluded values for the expression.
That is, find all values of for which the expression is undefined.

5
-----
6+2v

If there is more than one value, separate them with commas.

Answers

Answer:

-3

Step-by-step explanation:

For an expression to be undefined,. the denominator must be equal to 0

Therefore, in order to make that expression undefined, we must equate the denominator to 0

6 + 2v = 0

2v = 0 - 6

2v = -6

v = -6/2

v = -3

So in order to make the expression to be equal to 0, v must be -3

Marie's backyard deck cost $68.29 per square meter to build. The deck is 9 meters wide and 9 meters long. How much did it cost to build the deck?

Answers

$5531.49

(9×9)×$68.29

Simplify the following expression.
(1565)
———-
(562)3

Answers

it simplify to 8.35409

Jan needs 1/3 of chocolate chips to make cookies and 3/4 cup to make brownies. How many cups does she need altogether?

Answers

Answer:

She needs 1½ cups

Step-by-step explanation:

Number of cups she needs altogether = 1/3 + 3/4 =(4+9)/12 = 13/12 = 1½

1/3 + 3/4 = 4/12 + 9/12 = 13/12 = 1 1/12 cups (one and a twelfth)

bionomial probabilities

Answers

Answer:

Binomial probability refers to the probability of exactly x successes on n repeated trials in an experiment which has two possible outcomes (commonly called a binomial experiment).

Hope this will help you :)

been stuck on this for a few days now, help on even one would be greatly appreciated!!!

Answers

Answer:

-5-9i

Step-by-step explanation:

-1-8i-4-i

-1-4-8i-i

-5-9i

Please help me with this

Answers

9514 1404 393

Answer:

1+3x = -89x = -30

Step-by-step explanation:

If we let x represent "a number", then "three times a number" is 3x. The usm of that and 1 is ...

  1 +3x . . . . . . the sum of 1 and 3 times a number

That is said to be -89, so we have the equation ...

  1 +3x = -89

__

To solve this equation, we can subtract 1 from both sides:

  3x = -90

Then we can divide by 3 to find x.

  (3x)/3 = -90/3

  x = -30

what translation was the similarity moved through ?

Answers

C & F is the answer

Farah is x years old. Ibtisam is 3 years younger than Farah. Muna is twice as old as Ibtisam. Write and expression in terms of x, for
(a) Ibtisam's age,
(b) The sum of their three ages, giving your answer in its simplest form.​

Answers

Answer:

Farah: x

Ibtisam: x-3

Muna: 2(x-3) or 2x-6

Sum of all their ages: 4x-6

Step-by-step explanation:

Farah is x, so we don't need an expression for that.

Ibtisam is 3 years younger than Farah, which means that we need to subtract 3 from Farah, and that would be Ibtisam's age. x-3.

Muna is 2 TIMES Ibtisam's age, so we need to multiply whatever expression taht was used for Ibtisam by 2. Put brackets around the equation with 2 outside: 2(x-3). Solve and you get 4x-6

Now, you have all their ages in expression form, now you need to simplify by adding:

x+x+2x-6

We cannot simplify -6, so we put that aside. Add all the x's and you get 4x, insert the minus 6 at the end:

4x-6

Hope this helps!

--Applepi101

Answer:

a) X -3

b) 4x - 9

Step-by-step explanation:

a) Farah's age is X so Ibtisam will be X - 3 old since he is 3years younger than Farah

b) Farah is X years old

Ibtisam is X - 3 years old

Muna is 2(X -3) since she is 2 times older than Ibtisam.

the sum of Thier ages will be

X + X -3 + 2(x-3)

= 2x - 3 + 2x - 6

= 4x - 9

Solve for x, the triangles are similar

Answers

Answer:

x = 12

Step-by-step explanation:

Δ ESR and Δ EGF are similar, then ratios of corresponding sides are equal, so

[tex]\frac{ES}{EG}[/tex] = [tex]\frac{ER}{EF}[/tex] , substitute values

[tex]\frac{45}{12x-3}[/tex] = [tex]\frac{55}{143}[/tex] ( cross- multiply )

55(12x - 3) = 6435 ( divide both sides by 55 )

12x - 3 = 117 ( add 3 to both sides )

12x = 120 ( divide both sides by 12 )

x = 10

A loaf of bread costs $1.40 and the markup is 30% of the selling price. Find the selling price.

Answers

Answer:

The selling price after the markup is $1.82

Step-by-step explanation:

$1.40 * .30 =

Multiply $1.40 times .30 (which is same as 30%)

$1.40 * .30 = $0.42

Add $1.40 and $0.42

= $1.82

Hope this helps.

Find the solutions of x^2+30 = 0

please give detailed steps!

Answers

Answer:

x= i√30

Step-by-step explanation:

I'm going to go into this under the assumption that you've covered imaginary numbers based on the question. If I'm wrong then sorry about that.

Okay, so first you want to subtract 30 from both sides

x^2=-30

Then you take the square root of each side.

√(x^2)=√-30

x=√-30

Since it's impossible to square a number to get a negative number, you'll end up with an imaginary number. You have to rewrite x=-30 to get rid of the negative sign under the radical. Rewriting this will also indicate that it's an imaginary number.

Final answer: x = i√30

Simplify: y^-3

a) 3/y
b) - 1/y^3
c) -3y
d) 1/y^3

Answers

Answer:

1/y^3

Step-by-step explanation:

We know that a^-b = 1/a^b

y ^-3 = 1/y^3

Calvin and Jamel each havr cats as pets. Calvin buys cat food in cylindrical can that are 6 centimeters in diameter and 12 centimeters high. Jamel buys cat food in cylindrical can that 12 centimeters in diameter and 6 centimeters high. What is the ratio of the volume of one of Calvin's cans of to the volume of one of Jamel's cans?​

Answers

Answer:

see below

Step-by-step explanation:

CALVIN

v=[tex]\pi[/tex]× r ² × h

v=3.14 × 3² × 12

v=3.14×9 × 12

v=3.14 × 108

v = 339.12

JAMEL

v=[tex]\pi[/tex] × r ²×h

v=3.14× 6 ² × 6

v=3.14 × 36×6

v=3.14×216

v=678.24

The point A(−8,−4) is reflected over the origin and its image is point B. What are the coordinates of point b?

Answers

9514 1404 393

Answer:

  B(8, 4)

Step-by-step explanation:

Reflection across the origin negates both coordinate values.

  (x, y) ⇒ (-x, -y) . . . . . reflection across the origin

  A(-8, -4) ⇒ B(8, 4)

Oak street and elm street run parallel to each other. When main street intersects them, it forms exterior 8, measuring 60. What is the measure of 1?

Answers

Answer:

0 is the answer measure 1

Can you provide a solution or a formula?

Answers

144 x 1.25 = 180

Answer: 144

Answer:

144

Step-by-step explanation:

144 × 1.25 = 180

We add the 1 to .25 to represent the original value plus the 25% increase.

Or you could have divided 180 by 1.25 to find original price.

HELP PLEASE! INEEED HELPPP RIGHT NOW The graph of y=x−2−−−−√ is is transformed to become y=x+3−−−−√−2. Which of the following statements best describes the effect this transformation has on the graph of y=x−−√?

Answers

Answer:

I think it's D but I don't know how to do this, but I ask my Friend and he gave me this graph I hope it helps.

Option (C) the graph is translated 5 units left and 2 units down is the correct answer.

What is graph of a function?

A graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner. The graph of a function f is the set of all points in the plane of the form (x, f(x)).

For the given situation,

The function is [tex]y=\sqrt{x-2}[/tex]

This function is transformed to become the function as [tex]y=\sqrt{x+3}-2[/tex]

Now compare this transformation with the function [tex]y=\sqrt{x}[/tex].

These functions are plotted in the graph below.

On comparing this transformation,

The graph is translated 5 units left and 2 units down.

Hence we can conclude that option (C) the graph is translated 5 units left and 2 units down is the correct answer.

Learn more about graph of a function here

https://brainly.com/question/2275360

#SPJ2

КУ
11
10
A
9
8
7 구
6
5
4
A А
C
3
B'
2
1
B
C с
-6 -5 -4 -3 -2 -1
1 2 3 4 5 6
A ABC is dilated about the origin./
What scale factor was used to make the image A A'B'C?

Answers

Answer:

3

Step-by-step explanation:

The dilation factor is 3

Pls help!!
An educator hypothesizes that the median of the number of students enrolled in cyber schools in school districts in southwestern Pennsylvania is 25. At a = 0.05, is there enough evidence to reject the educator’s claim? The data are shown here. What benefit would this information provide to the school board of a local school district? 12 41 26 14 4 38 27 27 9 11 17 11 66 5 14 8 35 16 25 17​

Answers

Answer:

nbbhhghhhjjjjjjjjjkjjjjnnmmmmmmmmbv b b j

If
f (x) = 3x +1 and 1-1 = *?
then f-'(7) =
O 22
O-2
02

Answers

According to my calculations answer is -2

8. 15x - 10 = 80
a. X= 2
b. x=4
c. X= 6

Answers

Answer:

C

Step-by-step explanation:

15x-10=80

15x=90

x=90/15, x=6

Answer:

x = 6

Step-by-step explanation:

15x - 10 = 80

Add 10 to each side

15x-10+10 = 80+10

15x = 90

Divide each side by 15

15x/15 = 90/15

x = 6

pls help me with this. You need to graph the equation or smt

Answers

photo math will help stg
have a good day

what represent the area of the rectangle in cm^2??

Answers

9514 1404 393

Answer:

  d.  3x² +15x

Step-by-step explanation:

The area is the product of length and width.

  A = LW

  A = (3x)(x+5) = 3x(x) +3x(5) . . . . use the distributive property

  A = 3x² +15x

Answer: D) 3x^2 + 15

==========================================================

Explanation:

Draw a horizontal line to divide the rectangle into two parts (they don't necessarily have to be equal parts). Refer to the diagram below. The upper rectangle is x by 3x. So its area is length*width = x*3x = 3x^2

The lower rectangle is 5 by 3x, so its area is 5*3x = 15x

Combine those two sub-areas back together to get the overall area of 3x^2 + 15x

You could also use the distribution rule

3x*(x+5) = 3x*(x) + 3x*(5) = 3x^2 + 15x

The best basketball player

Answers

Answer:

c

Step-by-step explanation:

hope it helps!!!!!!!!!!!!!!

What is the equation of the graph below?

Answers

Answer:

f(x)=5cos(1/3x) this is an equation

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