A manufacturing process makes rods that vary slightly in length but follow a normal distribution with mean length 25 cm and standard deviation 2.60. What is the probability of randomly selecting a rod that is shorter than 22 cm

Answers

Answer 1

Answer:

The probability of randomly selecting a rod that is shorter than 22 cm

P(X<22)  = 0.1251

Step-by-step explanation:

Step(i):-

Given mean of the Population = 25cm

Given standard deviation of the Population = 2.60

Let 'x' be the random variable in normal distribution

Given x=22

[tex]Z = \frac{x-mean }{S.D} = \frac{22-25}{2.60} = -1.15[/tex]

Step(ii):-

The probability of randomly selecting a rod that is shorter than 22 cm

P(X<22) = P( Z<-1.15)

             = 1-P(Z>1.15)

             =  1-( 0.5+A(1.15)

             =  0.5 - A(1.15)

             = 0.5 - 0.3749

             = 0.1251

The probability of randomly selecting a rod that is shorter than 22 cm

P(X<22)  = 0.1251


Related Questions

plsss help me out ! i’d appreciate it !

Answers

Answer:

Alright I’m solving right now

Step-by-step explanation:

Can you elaborate on the reason why we look for pairs of numbers or variables when we simplify square root expressions?

Answers

We look for pairs of numbers in order to further simplify certain unsimplified square roots. For example, the square root of 20. From this, we pull out a 5 and two 2’s, Since there is a pair of 2’s, we carry one out, and since the 5 is not a pair, it stays inside of the radical. Therefore making it 2√5.

Hey who can solve this

Answers

I know the The leading coefficient is 4

Compare the functions. f(x)=10x g(x)=5^x h(x)=4x^2+5x select the true statement

Answers

Answer:

equals 56

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Lebron James makes 75% of his free throws. If he made 20 shots, how many free throws did he attempt?

Answers

Answer:

75/100×20

0.75×20

=15..............

Answer:

26 shots

Step-by-step explanation:

2) pplllllss hellppp

Answers

Answer:

A. -1 and 1/3

Step-by-step explanation:

The number -1 and 1/3 is directly to the right of -1 and 2/3 because there is a -1/3 difference between them

the vertices of a triangle are listed below. R(1,5), S(4,-4), T(-5,-4) what is the area of the triangle? 81 square units. 20.25 units. 40.5 square units or 29.3 square units? please help

Answers

Answer:

40.5 square units

Step-by-step explanation:

the verticles form a triangle with a side 9 units and height that is 9 units as well. Its area is equal to 9*9÷2=40.5

find each unit price which is the better buy explain electrical wire $1.89 for 3 ft 89 for 18 in

Answers

Answer:

It all comes down to simplifying it to inches and price so id 18 in” is 0.89 cent’s thats every inch of that 18 is about 4 cents a in” and a $1.89 3 feet is about 5 cent’s

Step-by-step explanation:

So is the first would be a better deal because it is one cent cheaper!

May someone help me pls



In a survey of 40,000 students approximately 5% of the students have five or more siblings. Approximately how many students have five or more siblings?

Answers

Answer:

C. 2,000 students

Step-by-step explanation:

Using the equation, 5% of 40000 = 0.05 × 40000 = 2000, I was able to find the CORRECT answer. 5% of 40,000 is 2,000 students. Hope this helps!

a. 792 432,795
What is 432,795 divided by 792

Answers

it is 546.4583333333333, which would simplify to 546.46 if to the hundredths place or 546.5 to the tens place

Answer:

the answer is 546.458333 or 546.46

Step-by-step explanation:

Can someone help me please

Statement

1. SVX =UTX

2______

3_______

4 VUTS is a parallelogram


Reason

5 Given

6. Given

7_________

8_________

Answers

Answer:

Step-by-step explanation:

ΔSVX ≅ ΔUTX                      Given

SV // TU                                 Given

SV ≅ TU                                Corresponding part of congruent triangle

VUTS parallelogram               Definition of parallelogram.

Hint: 1) If any one pair of opposite side is congruent and parallel, then the quadrilateral is parallelogram.

2) If two pair of opposite sides are parallel then it is a parallelogram.

Answer:

ΔSVX ≅ ΔUTX                      Given

SV // TU                                 Given

SV ≅ TU                                Corresponding parts of a congruent triangle are congruent

VUTS is a parallelogram      Def. of parallelogram.

Step-by-step explanation:

PLEASE HELP I WILL GIVE BRAINLIEST PLEASE HELP ME PLEASE PLEASE​

Answers

Answer:

1. 2&1/2,0

2. -1 1/2, -1

3. r

Step-by-step explanation:

Answer:

i think p is 2.5,0 and t is -1.5, -1  i dont know  the last one

Step-by-step explanation:

pls dont get if not right

How do you express 45mins as percentange of 1hr30mins

Answers

45 minutes is half of an hour and 30 minutes
Okay, so make I think maybe. 45m =0.45 of a hour and a half. “45=0.45(90)” maybe I am not sure sure

someone pls help me asap

Answers

Answer:

i think its c :)))

Jackson bought 555 ounces of raisins for $4 dollar sign, 4.

Answers

Answer:

138.75 ounces

Step-by-step explanation:

you can use long division or use a calculator... your choice

Which numbers are irrational ?

Answers

Answer:

1.true  2.False  3. true 4. False  5. true 6. false

Step-by-step explanation:

Irrational number are with the square root sign

Please answer this question it is due at 5:00

Answers

Answer:

Step-by-step explanation:

1) 40 +5b =  1240

2) 40 + 5b = 1240 {Subtract 40 from both sides}

          5b = 1240 - 40

          5b = 1200     {Divide both sides by 4}

           b = 1200/4

          b = $ 300

j 4 + 14 = 18 j = what

Answers

Answer:

j = 1

Step-by-step explanation:

4j + 14 = 18j

subtract 4j from both sides

14 = 14j

divide 14 from both side

j = 1

*) Which of the following best forms the figure shown?
) 2 line segments that meet at an
endpoint
2 angles that meet at an endpoint
2 lines that meet at an endpoint
2 rays that meet at an endpoint

Answers

Answer:

how are we supposed to know what u talking about..

Step-by-step explanation:

if there is no PICTURE MWJAUBFNWAF

Answer:

2 lines that meet at the endpoint

Step-by-step explanation:

what is the measure of angle gxi​

Answers

Answer:

well we need more of the problem to solve this question gxi has unlimited possibilities because u didnt define it

Step-by-step explanation:

Imagine a population of birds with an initial size of 100, a per-capita birth rate of 2, and a per-capita death rate of 1 per year. Use the discrete time form of the exponential growth equation to predict the number of individuals in this population after 5 years of growth.

Answers

Answer:

3200

Step-by-step explanation:

Given that:

The initial population of birds [tex]N_0[/tex] = 100

The time duration t = 5 years

Growth rate (r) = (Birth - Death) rate

= 2 - 1

= 1 / year

using the discrete-time form:

[tex]N_t = N_o (1 + r )^t[/tex]

[tex]N_t = 100 (1 + 1 )^5[/tex]

[tex]N_t = 100 (2 )^5[/tex]

[tex]N_t = 100 \times 32[/tex]

[tex]N_t = 3200[/tex]

a painter mixed 1/8 quart of red paint with 7/8 paint to make purple paint. how much purple paint did the painter make. ​

Answers

Answer:

It made 8/8 or 1

Step-by-step explanation:

Red is being added to the purple but that makes more purple tho so....yea

A circle has a circumference of 12 inches. What is the approximate area of the circle?
A. 1.91 inches 2
B. 11.46 inches 2
C. 113.04 inches 2
D. 452.16 inches 2

Answers

C. 113.04 in'2


STEP 1:
3.14 x 6'2 ~ 113.04


EXPLANATION:
The formula for solving the area of a circle is- 3.14 x r'2
r=radius

g(x)=3-x
what is
g(h^2) =
g(x+2)=
g(x)+g(2)=

Answers

G(h^2) = 3-h^2
G(x+2)= -x+1
G(x)+g(2)= -X + 4

For questions 9 and 11, solve for the remaining angles.

Answers

Answer:

Side a = 442.85

Side b = 270

Side c = 255

Angle ∠A = 114.998° = 114°59'54" = 2.0071 rad

Angle ∠B = 33.544° = 33°32'37" = 0.58545 rad

Angle ∠C = 31.458° = 31°27'29" = 0.54905 rad

Step-by-step explanation:

Side a = 442.85

Side b = 270

Side c = 255

Angle ∠A = 114.998° = 114°59'54" = 2.0071 rad

Angle ∠B = 33.544° = 33°32'37" = 0.58545 rad

Angle ∠C = 31.458° = 31°27'29" = 0.54905 rad

What does f(0) = 5 mean?

Answers

The input of 0 using the function f gives the output value of 5.

I need help ASAP you have to find the area of the circle

Answers

Answer:

Step-by-step explanation:

A=πr^2 is the equation for the area of a circle. You are given the diameter, and the radius is just one half the diameter.

A = π8^2

A = 64π or 201.06

Answer:

A = \pi r^2

Step-by-step explanation:

to make this simpler i can solve this for you.

To insert the number into the equation you go like this,

A=(pi)r^2

The diameter is that whole line in the circle which is 16 and the r or radius is half the diameter so you would do 16/2, which equals 8. then you insert that into the equation.

A=(pi)8^2

8 to the 2nd power is 64

And im going to round pi to 3.14

so no the equation is

A=3.14*64

The area is 200.96 mi ^2 or rounded 201 mi^2

which equation represents a liner function?

Answers

The answer B represent the liner function

Which expressions are equivalent to 4m + 12? Choose ALL that apply.

Answers

Answer:

Your answers are 6m-2m+12 and 4(m+3).

Step-by-step explanation:

This is because for 6m-2m+12, you are dealing with like terms. You are subtracting 6m-2m.

4(m+3) on the other hand, you are using the distributive property. You would carry the 4 to the m and to the 3.

Once you've done that with both of those expressions, they will both equal 4m+12.

Expression is a set of numbers, variables, and mathematical operations formed. The expression 4m+12 can be written as 4(m+3).

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

In the given expression  4m + 12, there are 2 terms and both of these terms have 4 as the common factor, therefore, we can write the expression as,

[tex]4m +12\\\\= 4m+(4 \times 3)\\\\ = 4(m + 3)[/tex]

Hence, the expression 4m+12 can be written as 4(m+3).

Learn more about Expression:

https://brainly.com/question/13947055

WHAT IS THE EQUATION OF THE LINES IN SLOPE -INTERCEPT FORM ?

Answers

Answer:

y=x+700

Step-by-step explanation:

Given the visual graph, the y-intercept is 700, and the slope is 1, therefore the equation of the line in slope-intercept form is y=x+700

Y= mx+b that’s the equation
Other Questions
Thomas Aquinas became a Dominican priest despite the disapproval of his parents. Why did Thomas find it so important to study not only the Bible but also the works of the naturalists?A) he wanted to find peace where there was conflictB) he wanted to prove the naturalists wrong Which graph represents a linear function? SOS HELP THIS IS DUE TODAY Which of the following demonstrates the use of visual communication toolsto communicate with patients?A. Anna asks Tom to provide simple "Yes" or "No" responses to herquestionsB. Sarah uses translation software to explain to her doctor that shehas a headache.C. David places his hand on Ryan's shoulder to communicate withhim to relax.D. Dr. Smith asks Abby to point to which image of facial expressionsclosely portrays how she's feeling LOTSSS OF POINTSS PLSSS EXPLAIN !!!! 22.5(10-y)+27.5y=250 what does y equal 100 POINTS// MARK BRAINLIEST Im doing this project and I need some help on it. Dont worry about finding the places, i just need a conversation in French! (Explained in the picture) Thank you! :) What happened to the Cherokee who lived near Georgia in 1828? The state began to take away their land and rights. They won a key courtroom decision. They agreed to move to the Indian Territory. Match the term to the correct definition. (20 points)1. Bas-relief2. mosaic3. kouros4. stele5. line6. Contrapposto7. cuneiform8. bucrania9. ka10. pharaoha. natural pose that shows weight shiftb. low projection sculpturec. bovine skullsd. stone monument with relief carvinge. mark made by a moving pointf. writing system based on symbolsg. the immortal essence of a humanh. kingi. freestanding statuary sculpturej. image created from pieces of stone or glass Do you think it is possible to exploit the biological process of protein synthesis to make human proteins in the lab Find the unit rate. 210 miles in 7 hoursThat means you need to find out how many miles are traveled in 1 hour.Your answer should be written like this: ____ miles in 1 hour OR ____miles per hour OR ____ mph and you need to fill in the blank with your answer! 1. In a group of 60 students,31 speak French,23 speak Spanish. determine the number of students who speak.(A) Both French (B) French Only (C) Spanish Only 4. What number is 16% of 44n = 16 x 44 (n = 704)044 = 0.16 x n (n = 275)O n = 0,16 x 44 (n = 7)0.16 = n x 44 (n = 0.4) Which statements best explain dietary support services careers? Check all of the boxes that apply.based on the use of equipment and technologybased on knowledge of nutritionbased on knowledge of how foods affect peoples healthbased on diagnosing patients One major cause of tension between Israel andPalestine is:O A. Israeli occupation of Palestinian territories.B. Palestinian refusal to join the UnitedNations.C. Israeli refusal to sign peace treaties withArab states.D. Israeli withdrawal of troops from the GazaStrip. Complete the root word below.Type the root word for compliment. Thank you so much if you helped me with this! When Grant broke the confederate lines April 2, 1865, lee Why is the solar system commonly represented as a scale model?Please write in complete sentences. I will mark Brainiest to whoever correct. You borrow $500. The simple intrest rate is 3%. You pay off the loan after 4 years. How much do you pay for the loan Sbhsbshsbhsbshsbhsbshs