The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 37 ounces and a standard deviation of 7 ounces. Use the Empirical Rule, also known as the 68-95-99.7 Rule. Do not use Tables or Technology to avoid rounding errors. Suggestion: sketch the distribution in order to answer these questions. a) 68% of the widget weights lie between and b) What percentage of the widget weights lie between 23 and 44 ounces
Answers
Answer:
a) 68 % will lie between 30 and 44 ounces
b) between 23 and 44 ounces will lie 81,5 %
Step-by-step explanation: See Annex
a) Normal Distribution N ( 37, 7)
The Empirical Rule establishes that 68 % of values will be at
μ ± 1 σ where μ is the mean and σ the standard deviation
Then: 37 - 7 = 30 and 37 + 7 = 44
68 % of the values will lie between 30 and 44 ounces
b) And between 23 and 44 we should find:
We have 95 % of values between
μ ± 2*σ
In our case to the left of the value (mean 0 ) and up to the value 23 we get 95/2 = 47,5 % and to the right of the value (mean 0 ) and up to 44 we half 68/2 = 34 %
Then between 23 and 44, we have 47,5 + 34 = 81,5 %
Related Questions
Which statement is true?
O A. The absolute value of 3 is -3.
OB. The opposite of 7 is 7.
O C. The absolute value of 5 is equal to the opposite of 5.
O D. The opposite of -4 is
equal to the absolute value of -4.
Answers
Answer:
D. The opposite of -4 is equal to the absolute value of -4.
Step-by-step explanation:
a soccer organization is going to spend 2990 dollars to purchase all sweatshirts or all jackets for its players. Sweatshirts are 26 dollars each and jackets are 46 dollars each. What is the greatest number of sweatshirts or jackets that the organization can purchase.
Answers
Answer:
121,436 to the nearest ten thousand
Step-by-step explanation:
Indicate the equation of the given line in standard form. The line with slope 9/7 and containing the midpoint of the segment whose endpoints are (2, -3) and (-6,5).
Answers
Given parameters:
Coordinates of end points = (2, -3) and (-6,5).
Slope of line = [tex]\frac{9}{7}[/tex]
Unknown:
Equation of the line with the given slope = ?
Solution:
Let us find the coordinates of the mid-point of the line given.
Since the end points are (2, -3) and (-6,5);
Midpoint;
x, y = [tex]\frac{x_{1} + x_{2} }{2}[/tex] , [tex]\frac{y_{1} + y_{2} }{2}[/tex]
x, y = [tex]\frac{2 + (-6)}{2}[/tex] , [tex]\frac{-3 + 5}{2}[/tex] = -2 , 1
The coordinate of the mid point = -2,1
Equation of a line is;
y = mx + c
x and y are the coordinates
m is the slope
c is the y intercept
We need to find c in order to fully develop our equation;
y = mx + c
y = 1 , x = -2 and m = [tex]\frac{9}{7}[/tex]
So,
1 = [tex]\frac{9}{7}[/tex] x (-2) + c
c = 1 + [tex]\frac{18}{7}[/tex] = [tex]\frac{25}{7}[/tex]
Now, the equation of the line is;
y = -2x + [tex]\frac{25}{7}[/tex]
Multiply through by 7,
7y = -14x + 25
The equation of the line is 7y = -14x + 25
Complete the table to find solutions to the linear equation y=-10x+30
Answers
Which graph shows the solution to this system of inequalities? 3x - y < 5 and x + y > 2( PLEASE HELP!! )
Answers
Answer:
D
Step-by-step explanation:
Just graph both inequalities and plug in 0 to see which way it goes.
HELPPP PLEASEEE
g(t) = 6 - 1
g
-) = -7
Answers
t is -1
g ( t ) = 6t-1
g (-1) = 6(-1)-1
= -6-1 = -7
What are inverse functions?
Answers
If functions transfer some a to b via some formula, then inverse of such functions transfer b to a via some other formula.
Hope this helps.
Holiday Inn charges its cost one dollar plus $.80 per minute for long distance calls. Across the street, La Quinta charges its guests $2 plus $0.75 per minute for long distance calls. Which equation correctly models the length of a call for which the two hotels charge the same amount
Answers
Answer: 1 + 0.80x = 2 + 0.75x
(Also x = 20)
X Problem P5-9 (similar to)
Question Help
Based on the after-tax retums, at what federal tax rate (as shown in Chapter 4) is an investor better off choosing a tax-exempt 7 16 percent municipal bond over a
taxable 10.39 percent corporate bond?
The after-tax retum on the corporate bond when the tax rate is 10% is %
Answers
Answer:
The after-tax rate for the Corporate Bond when the tax rate is 10% is 9.35%
Step-by-step explanation:
The investor is better of at any rate above 30%, i.e 31% of tax rate would give the investor 7.1691% return ( 10.39 − ( 10.39 ⋅ 31 % ) )
Thus the return from the tax exempt municipal bond would be higher than the return from the taxable corporate bond.
The after-tax rate for the Corporate Bond when the tax rate is 10% is 9.35%( 10.39 − ( 10.39 ⋅ 10 % ) )
If an area can be washed at a rate of 2,700 cm2/minute, how many square inches can be washed per hour? Enter your answer with the correct number of significant digits. Use the equivalent measures indicated. (1 centimeter ≈ 0.39 inch, 1 hour = 60 minutes)
Answers
Answer:
250,000
Step-by-step explanation:
Write an addition problem that has a sum of -4 3/5
Answers
Answer:
-4+(-4.6)
Step-by-step explanation:
The graph of a linear function is shown on the grid. What is the rate of change of y with respect to x for this function? Please hurry it’s urgent Thank you
Answers
Answer:
[tex] -0.2 [/tex]
Step-by-step explanation:
Given:
(-3, 3.6);
(5, 2)
Required:
Rate of change
SOLUTION:
Rate of change for the function is given as [tex] \frac{y_2 - y_1}{x_2 - x_1} [/tex].
Let,
[tex] (-3, 3.6) = (x_1, y_1) [/tex]
[tex] (5, 2) = (x_2, y_2) [/tex]
Rate of change = [tex] \frac{2 - 3.6}{5 - (-3)} [/tex]
[tex] = \frac{-1.6}{8} [/tex]
[tex] = -0.2 [/tex]
The rate of change of y with respect to x for this function is -0.2
Given :
The graph of a linear function is shown on the grid
To find the rate of change of y with respect to x , we need to pick two points from the graph
Two points are (-3,3.6) and (5,2)
Lets apply slope formula to find out rate of change
[tex]slope =\frac{y_2-y_1}{x_2-x_1}\\slope =\frac{2-3.6}{5+3} \\slope = -0.2[/tex]
The rate of change of y with respect to x for this function is -0.2
Learn more : brainly.com/question/24930128
All side lengths in quadrilateral PQRS measure 6 units. A transformation maps PQRS to P'Q'R'S'. All sides of P'Q'R'S' measure 1 unit. Is the transformation an isometric transformation? Explain
Answers
Answer:
no. in an isometric transformation, the side lenths all stay the same. in this transformation (which is a dilation), the size lengths decreased, so it is not isometric.
Step-by-step explanation:
round 496,804 to the nearest hundred thousand.
Answers
Answer:
500,000
Step-by-step explanation:
You have a 9 in the ten thousand, round up and get 500,000
x + 2y = 4
2x – 3y = 1
I will give brainiest
Answers
2 + 2(1) = 4
2(2) - 3(1) = 1
Mr. Oates has 3/4 pound of oatmeal he uses 2/3 of the oatmeal to big muffins how much oatmeal does Mr. Courts have left
Answers
Answer:
1/12
Step-by-step explanation:
3/4-2/3 = 9/12-8/12 = 1/12
2. Rectangle A measures 8 inches by 2 inches. Rectangle B is a scaled copy of Rectangle
A. Select all of the measurement pairs that could be the dimensions of Rectangle B.
a. 40 inches by 10 inches
b. 10 inches by 2.5 inches
c. 9 inches by 3 inches
d. 7 inches by 3 inches
e. 6.4 inches by 1.6 inches
Answers
Answer:
a. 40 inches by 10 inchesStep-by-step explanation:
Given the measurement of Rectagle A = 8in by 2in. If rectangle B is a scaled copy, this means the length and with of the new triangle by be that of A multiplies by a constant factor.
If the scale is 5:1, this means that the dimension of Rectangle B is as shown;
Length of B = 5(8in) = 40in
Width of new Rectangle B = 2(5) = 10in
Hence the measurement pairs that could be the dimensions of Rectangle B are 40in by 10in
the rest of the measurement are not multiplied by a constant value.
3x + x- 2x + 8 = 3x + x
Answers
Answer:
x=4
Explanation:
3x+x−2x+8=3x+x
Step 1: Simplify both sides of the equation.
3x+x−2x+8=3x+x
3x+x+−2x+8=3x+x
(3x+x+−2x)+(8)=(3x+x)(Combine Like Terms)
2x+8=4x
2x+8=4x
Step 2: Subtract 4x from both sides.
2x+8−4x=4x−4x
−2x+8=0
Step 3: Subtract 8 from both sides.
−2x+8−8=0−8
−2x=−8
Step 4: Divide both sides by -2.
−2x−2=−8−2
x=4
Felix bought x pounds of grapes that cost $1.25 per pound and y boxes of cereal that cost $2.50 per box. He spent less than $10. Which graph represents this scenario?
Answers
Answer:
The Answer is B
Step-by-step explanation:
Trust me i did it
Answer:
B ANSWER IS B
Step-by-step explanation:
A population of a particular yeast cell develops with a constant relative growth rate of 0.4225 per hour. The initial population consists of 3.9 million cells. Find the population size (in millions of cells) after 3 hours. (Round your answer to one decimal place.)
Answers
Answer: The population after 3 hours is 13.9 mill.
Step-by-step explanation:
When we have an exponential with:
A = initial population.
r = constant relative growth rate:
t = time.
The function that models this is:
P(t) = A*e^(k*t)
In this case we know that:
A = 3.9 mill.
r = 0.4225 1.
Then the function that models the population of this yeast cell is:
P(t) = (3.9 mill)*e^(0.4225*t)
where t represents the time in hours.
Then if we want to know the population after 3 hours, we should replace t by 3.
P(3) = (3.9 mill)*e^(0.4225*3) = 13.85 mill.
And we want to round our answer to one decimal place, then we must look at the second decimal place, we can see that is a 5, so we should round up.
The population after 3 hours is 13.9 mill.
The exponential function is often used to model the growth or decay of a population
The population size of the yeast cell after 3 hours is 7.9 million
The given parameters are:
[tex]\mathbf{a = 3.9m}[/tex] --- initial number of cells
[tex]\mathbf{r = 0.4225/hr}[/tex] --- rate
The nth term of an exponential function is:
[tex]\mathbf{f(n) = a(1 + r)^{n-1}}[/tex]
After 3 hours; n = 3
So, we have:
[tex]\mathbf{f(3) = a(1 + r)^{3-1}}[/tex]
Substitute values for a and r
[tex]\mathbf{f(3) = 3.9(1 + 0.4225)^{3-1}}[/tex]
[tex]\mathbf{f(3) = 3.9(1 + 0.4225)^{2}}[/tex]
[tex]\mathbf{f(3) = 3.9 \times (1.4225)^{2}}[/tex]
[tex]\mathbf{f(3) = 7.9}[/tex]
Hence, the population size of the yeast cell after 3 hours is 7.9 million
Read more about exponential functions at:
https://brainly.com/question/3127939
if set A. have numbers 5, 25, 15, and 35 can you describe set A ?
Answers
Answer:
Set A = { 5, 25, 15, 35 }the set of multiples of 5Step-by-step explanation:
Words to describe the set:
A set can also be described by just defining it using plain words. For example, the set A= {Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday} can be described using words like “the set of days of the week”. Another example can be “the set of months of the year”.
Solve 2 2/5 - 1 1/2 .
Answers
Answer:
9/10
Step-by-step explanation:
2 2/5 - 1 1/2
Get a common denominator of 10
2 2/5 *2/2 = 2 4/10
1 1/2 *5/5 = 1 5/10
2 4/10 - 1 5/10
Borrow from the 2 as 10/10
1 + 10/10 +4/10 - 1 5/10
1 14/10 - 1 5/10
9/10
In need of more help I’m thankful for the answers you all have helped me with I need to pass
Answers
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[tex]g(x) = | \frac{1}{5}x | \\ [/tex]
Thus the correct answer is (( B )) .
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Which line is perpendicular to 3y + 2x = 9?
Options:
6x - 4y = 12
2x + 3y = 6
y + 3x = -2
y = -2x + 6
Answers
Answer:
2x + 3y = 6
Step-by-step explanation:
A square has a side length of 19 in. What is the area?
Answers
Answer:
A=a2=192=361in²
Step-by-step explanation:
Simplify: (8 2/3)^4
Answers
Answer:
8^8/3
Step-by-step
How many solutions does the following system have?
2x+3y=1
-3x - 2y= - 1
infinitely many solutions
two solutions
one solution
no solutions
Answers
Answer:
I'm pretty sure its one solutions
Step-by-step explanation:
Answer:
One solution
Step-by-step explanation:
B. One solution is the correct answer
Latoya has a bookcaes with k shelves. There are 14 books on each shelf. Using k, write an expression for the total number of books
Answers
Answer:
Step-by-step explanation:
Pamela has 15 different books. In how many ways can she place her books on two selves so that there is at least one book on each shelf? (Consider the books in each arrangement to be stacked one next to the other, with the first book on each shelf at the left of the shelf.)
Initially, I thought that this would be fairly straight forward. There are two cases where either shelf could be empty and so we would subtract 2 from the total number of permutations which is obviously 15!. It is obvious now that both of these statements are false.
My previous thoughts didn't take into account the fact that there are two shelves and that the books could be stacked in such a way that 5 are on the top shelf and 10 are on the bottom, or 8 on top with 7 on bottom, or any number of other ways. I believe there are 214 ways the books can be distributed amongst the two shelves (keep in mind that each shelf has to have at least one book, 15−1=14) if the ordering of the books didn't matter, but it does. Is this correct?
What is the slope of the line that passes through points (-3,5) and (11, 5)?
Answers
The two windows shown are similar. What is the height of the larger window?
Answers
Answer:
the answer is 5.44 feet
Step-by-step explanation:
Add me
Answer:
Step-by-step explanation:
