The times taken to assemble a clock at a factory are approximately normally distributed with a given mean Mu = 3 hr and standard deviation Sigma = 0.5 hr. What percentage of the times are between 2 hr and 4 hr?
34%
47.5%
68%
95%

Answers

Answer 1

Answer:

It's D) 95%

Step-by-step explanation:

It's the correct answer

Answer 2

The percentage of the times are between 2 hours and 4 hours is 45.5%.

What is standard deviation?

Standard deviation is the positive square root of the variance. Standard deviation is one of the basic methods of statistical analysis. Standard deviation is commonly abbreviated as SD and denoted by 'σ’ and it tells about the value that how much it has deviated from the mean value.

Given that, μ=3 hour, σ=0.5 and x1=2 hours and x2=4 hours.

We know that, Z=(x-μ)/σ

Here, Z1=(2-3)/0.5

Z1=-2 = -0.2275

Z2=(4-3)/0.5

Z2=2 = 0.2275

= 0.2275-(-0.2275)

= 0.2275+0.2275

= 0.455

= 45.5%

Therefore, the percentage of the times are between 2 hours and 4 hours is 45.5%.

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Related Questions

What one is it? Pls help

Answers

Answer:

It is A

Step-by-step explanation:

The denominator , 'x' cannot be 0    <=====undefined

  but it CAN be any other number

    domain ( the 'x' values' ) can be all numbers except 0

 The range will be all numbers except zero also....there is no way to make the y = 9/x  eqaul to 0 .

your answer is going to be a

Which of the following is evaluating to 3(y+4)-7?

Answers

I hope that i helped ;D

A balloon archway has been ordered for decorating the high school gym for a 1950's
style prom. The archway will contain 417 balloons, each holding 1.1 liters of helium.
Each balloon has a mass of 0.027 grams when empty, and all the string and fixings
that hold the balloons together total another 36 grams. If helium has a density of
0.1785 grams per liter, what is the mass of the entire archway.

Answers

We will see that the total mass of the entire archway is M = 129.1578g

What is the mass of the entire archway?

We know that each ballon weighs 0.027 grams for the plastic.

Now, we also need to remember the relation:

mass = density*volume.

Here, the density of helium is 0.1785 g/L

And the volume of each ballon is 1.1 L, then the mass of helium in each ballon is:

m = (0.1785 g/L)*(1.1 L) = 0.1964 g

Then the total mass of each ballon is:

M = 0.1964 g + 0.027g = 0.2234g

And there are 417 ballons, so the total mass (also adding the 36 grams for the strings) is:

Mass = 417*0.2234g + 36g = 129.1578g

If you want to learn more about mass, you can read:

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It is predicted that by 2050, there will be 10^10 people living on Earth. At that time, it is predicted there will be approximately 10^12 trees. How many trees will there be for each person?

Answers

Answer:

100 trees per person

Step-by-step explanation:

10^12 trees / 10^10 persons =  10^(12-10) = 10^2 trees/person

Answer:

Step-by-step explanation:

Givens

There are 10^12 trees

There are 10^10 people

Solution

Number of trees / person = Number of trees / Number of people = 10^12/10^10= 10^(12 - 10) = 10^2 = 100

There will be 100 trees / every person on the planet.

Sam poured 1/2 of the punch from a 3 litter bottle while serving guests at a gathering. How much punch ,in litters, is still left in the bottle?​

Answers

Answer:

1.5 litres

Step-by-step explanation:

1/2 of the punch in a 3 litre bottle is found by dividing 3 by 2, splitting it in half. 3÷2=1.5, or 1 and a half litres

on a rainy day, parker and his mom watched movies for 2 2/3 hours. they played games for 1 1/4 times as long as they watched movies. how many hours did parker and his mom play games

Answers

Answer:

3 1/3 hours

Step-by-step explanation:

if you use cross multiplication and multiply 1 by 2 2/3 you get 2 2/3 and if you multiply 1/4 by 2 2/3 add them together and you'll get 3 1/3 hours or also known as 3 hours and 20 minutes

HDTV screens usually have a width to height ratio of 16:9 which screen dimentions are in the same propeortion

Answers

Answer:

4 feet by 3 feet

Step-by-step explanation:

width-to -height ratio of 16:9

Let analyse all possible answers:

4 feet by 3 feet

16 divided by 4 is the same as 9 divided by 3 => it is true

28 inches by 21 inches

16 divided by 28 is different as 9 divided by 21 => it is wrong

48 centimeters by 27 centimeters

16 divided by 48 is different as 9 divided by 27 => it is wrong

26 inches by 19 inches

16 divided by 26 is different as 9 divided by 219=> it is wrong

I choose A.

Hope it will find you well.

PLEASE HELP ME!! I NEED HELP WITH THIS!!

Answers

Answer:

D

Step-by-step explanation:

To reflect over the Y axis, the X values of each coordinate must be made into opposites. So a coordinate with the form (x,y) will become (-x,y) when reflected across the Y axis, which is needed here.

George and his friends rode motorcycles all day on Saturday. He made a table that showed the number of gallons of gas remaining at the end of each hour.

Answers

Answer:

negative correlation

Step-by-step explanation:

his fuel keeps decreasing every time he uses his motorcycle

A washer and dryer cost $918 combined . The washer cost $68 more than the dryer . What's is the cost of the dryer ?

Answers

The answer is 850! You subtract 918 and 68 to get your answer. To check it you just add 68 to 850. Good luck!

An equation is shown below:

5x + 3(x − 5) = 6x + 2x − 15

Part A: Solve the equation and write the number of solutions. Show all the steps. (6 points)

Part B: Name one property you used to solve this equation. (4 points)

Your answer:

Answers

Answer:

infinity

Step-by-step explanation:

the distributive property is used when 3 is multiplied to x and 5 so it becomes 3x-15 and you combine like terms after that.

Whats the diameter of the sphere

Answers

Answer:

Here is answer my monkey brotheren

Step-by-step explanation:

A desk is on sale for $198.40, which is 32% of the regular price.
What is the regular price?

Answers

15% less = 85% of the original
In other word, $289 is 85% of the Original Price
289 = 85% * x
289 = .85*x
289/.85 = x
x = 340

the figure is cut into 12 equal pieces. shade 2/3 of the figure

Answers

Answer:

So you shade 8 parts in and the remaining is 4 so that the other 1/3 of 2/3

Answer

so basically you're asking shade 2/3 out of 12 equal pieces

so lets do 12 divided by 3 witch is four

so there would be 3 parts that have 4 pieces, and 4 times two is eight, so shade in 8 pieces :0 :)

PLEASE HELP ASAPP!! WILL MARK BRAINLIEST (NO LINKS)

Find the axis of symmetry and
the
vertex of the graph of y = 3x^2
-18x + 17

Answers

Answer:

vertex: (3, -10)

axis of symmetry:  x = 3

Step-by-step explanation:

Vertex form of a quadratic equation:  [tex]y=a(x-h)^2+k[/tex]

(where (h, k) is the vertex)

Rewrite the given equation in vertex form by completing the square.

Given equation:

[tex]y=3x^2-18x+17[/tex]

Add 10 to both sides:

[tex]y+10=3x^2-18x+27[/tex]

Factor RHS:

[tex]y+10=3(x^2-6x+9)[/tex]

[tex]y+10=3(x-3)^2[/tex]

Subtract 10 from both sides:

[tex]y=3(x-3)^2-10[/tex]

Therefore, the vertex is (3, -10)

The axis of symmetry is the x-value of the vertex.  
Therefore, the axis of symmetry is x = 3.

Answer:

Axis of symmetry: x = 3

Vertex: (3, -10)

Step-by-step explanation:

y = 3x² - 18x + 17

Axis of symmetry formula: x = [tex]\sf{\frac{-b}{2a}}[/tex]

a = 3b = -18

[tex]\sf x={\frac{-b}{2a}}\implies \textsf{Substitute -18 for b and 3 for a}\\\\\sf\ x={\frac{-(-18)}{2(3)}}\implies\textsf{multiplying 2 negatives makes a positive}\\\\\sf\ x={\frac{18}{6}}\implies \textsf{divide}\\\\\ \boxed{\sf x=3}\implies \textsf{axis of symmetry}[/tex]

Now, substitute 3 for x in your original equation to find the value of y:

y = 3x² - 18x + 17

y = 3(3)² - 18(3) + 17 <== exponents first

y = 3(9) - 54 + 17 <== multiply

y = 27 - 54 + 17 <== subtract

y = -27 + 17 <== add

y = -10

Vertex: (3, -10)

Hope this helps!

Which of the following points is the reflection of (8, -5) in the y-axis?


A. (8, 5)
C. (-8, 5)
B. (-5, 8)
D. (-8, -5)

Answers

Answer:

D

Step-by-step explanation:

When you flip a point around the y axis the x value is inverted since the point is moved to the opposite side across the y axis.

Which equations are true for x = –2 and x = 2? Select two options

x2 – 4 = 0
x2 = –4
3x2 + 12 = 0
4x2 = 16
2(x – 2)2 = 0

Answers

Answer:

x^2 – 4 = 0   AND   4x^2 = 16

Step-by-step explanation:

a) x^2 – 4 = 0 --> (x + 2)(x - 2)=0 --> x= -2 AND x= +2

b) x^2 = -4 doesn't have any solution in the real numbers.

c) 3x^2 +12 = 0 -->(divide by 3)-->  x^2 +4 =0 ---> x^2 = -4  as b)

d) 4x^2 = 16 -->(divide by 4)--> x^2 = 4  --> x^2 -4 = 0 as a)

e) 2(x -2)^2 =0 -->(divide by 2)--> (x-2)^2 =0 --> one solution that is x=+2

The tax rate is 3.9 what is the tax on $42 round to the nearest hundredth

Answers

Answer:

If the tax rate = 3.9% and the product u are buying is priced at $42 Then, the amount you will pay for the object will be, $42 + 3.9/100 * 42

Step-by-step explanation:

I hope this help

In how many ways can the word "calculus" be arrange so that two L's do not come together?​

Answers

Count the total number of permutations of the word "calculus": there are 8 letters, hence 8! = 40,320 total permutations.

Count the number of permutations in which the two L's occur next to each other. Effectively we're now talking about words consisting of 7 letters, of which there are 7! = 5,040.

It follows that there are

8! - 7! = 35,280

words in which two L's do not appear next to each other.

A teacher assigns 10 questions for homework and wants to randomly pick 3 questions to be graded. Which of the
following procedures would produce a simple random sample?
O Assign the homework questions the numbers 1-10. Use a random number table to select the first three number
between 1 and 10. These represent the questions that will be graded,
• Assign the homework queations the numbers 0 to 9. Use a random number table to select the 1o first three numbe
between 0 and 9. These represent the questions that will be graded.,
Assign the homework questions the numbers 01-10. Use a random number table to select the first three 2-digit 1O
numbers between 01 and 10. These represent the questions that will be graded,
Assign the homework questions the numbers 0-9. Use a random number table to select the first three 1o unique
numbers between 0 and 9. These represent the questions that will be graded.

Answers

Answer:

Assign the homework questions the numbers 0–9. Use a random number table to select the first three unique numbers between 0 and 9. These represent the questions that will be graded.

Step-by-step explanation:

D.

The GRE is an entrance exam that many students are required to take in order to apply to graduate school. In 2014, the combined scores for the Verbal and Quantitative sections were approximately normally distributed with a mean of 310 and a standard deviation of 12.

What is the probability that a randomly selected score is greater than 334? Write your answer as a decimal

Answers

Using the normal distribution, it is found that there is a 0.0228 probability that a randomly selected score is greater than 334.

Normal Probability Distribution

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

In this problem, the mean and the standard deviation are, respectively, given by [tex]\mu = 310, \sigma = 12[/tex]

The probability that a randomly selected score is greater than 334 is one subtracted by the p-value of Z when X = 334, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{334 - 310}{12}[/tex]

Z = 2

Z = 2 has a p-value of 0.9772

1 - 0.9772 = 0.0228.

0.0228 probability that a randomly selected score is greater than 334.

More can be learned about the normal distribution at https://brainly.com/question/24663213

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What is the volume of a rectangular prism with length 7 cm, width 2 cm, height 5 cm?

Answers

Answer:

[tex]7x2x5= 70[/tex]

Hope This Helps! :)

PLEASEEE HELP 100 POINTSSS AND BRAINLIEST!!!! THANKSSSSS <33

Answers

Answer:

The answer would be a

Step-by-step explanation:

An acute angle is an angle with two similar sides an obtuse angel is an very wide trianglee

Step-by-step explanation:

please mark me as brainlest

What is the median for this list of numbers? 2, 5, 8, 9, 11,3

Answers

6.5 because if you place the numbers from smallest to greatest and find the two numbers in the middle which are 5 and 8 you should add them and then divide by 2 and this is the answer

The Sausage Hut is looking at a new sausage system with an installed cost of $330,000. This cost will be depreciated straight-line to zero over the project's three-year life, at the end of which the sausage system is estimated to have zero value. The project has no impact on net working capital. Each year during its three year life, the new system will increase the firm’s Sales by $455,000 and its Operating Cash Flow by $123,300.

If the tax rate is 30 percent and the discount rate is 9 percent, what is the NPV of this project?

Group of answer choices

-111,524

- $17,891

$19,405

$35,389

$1,136,217

Answers

Based on the net cashflow over the three year life, the NPV that Sausage Hut will realize is -$17,891.

What is the Net Present Value?

First find the present value of the increased cashflows. As it is a constant amount of $123,300, we can treat it as an annuity.

Present value = Amount x (Present value of annuity interest factor, 9%, 3 years)

= 123,300 x 2.5313

= $312,109.29

The net present value is:
= Present value of cashflows - Amount invested

= 312,109.29 - 330,000

= -$17,890.71

= -$17,891.

In conclusion, option B is correct.

Find out more on Net Present Value at https://brainly.com/question/13228231.

The distance from any point on a circle to the center of the circle is the


radius

diameter

area

circumference

Answers

Answer:

Radius.

Step-by-step explanation:

● The distance from the centre to any other point on the circle is known as the radius.

Other Definitions:

● Diameter is the the distance from one point to another point of the circle which passes through the centre of the circle.

● The space enclosed by a figure is known as its area. Area of a circle = πr²

● Circumference of a circle is its outer perimeter. Circumference = 2πr

____________

Hope it helps ⚜

Help help help help

Answers

Answer:

b = 12

Step-by-step explanation:

b/3 + 4 = 8

subtract 4 on both sides

b/3 = 4

multiply 3 with 4

b = 12

Pls help with math pls will give brainlest due soon

Answers

function that’s the answer

60 units needed 14 units per case

Answers

what you mean bro??

drag the correct symbol into the box to compare expessions
6^2-2^2___4(6+2)
A.≠
B.=

Answers

Simplify both sides to compare:

6^2 - 2^2 = 36-4 = 32


4(6+2) = 4 x 8 = 32


they are equal to each other.


Answer: B. =

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