Answer:
We know that 3/4=0.75.When expressed as decimal fraction it is 75/100
In the library on a university campus, there is a sign in the elevator that indicates a limit of 16 persons. Furthermore, there is a weight limit of 2500 lb. Assume that the average weight of students, faculty, and staff on campus is 151 lb, that the standard deviation is 25 lb, and that the distribution of weights of individuals on campus is approximately normal. If a random sample of 16 persons from the campus is to be taken:
a. What is the expected value of the sample mean of their weights?
b. What is the standard deviation of the sampling distribution of the sample mean weight?
c. What average weights for a sample of 16 people will result in the total weight exceeding the weight limit of 2500 lb?
d. What is the chance that a random sample of 16 persons on the elevator will exceed the weight limit?
Answer:
Explained below.
Step-by-step explanation:
According to the Central Limit Theorem if an unknown population is selected with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from this population with replacement, then the distribution of the sample means will be approximately normally.
Then, the mean of the sample means is given by,
[tex]\mu_{\bar x}=\mu[/tex]
And the standard deviation of the sample means is given by,
[tex]\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}[/tex]
a
The expected value of the sample mean of their weights is same as the population mean, μ = 1515 lbs.
b
The standard deviation of the sampling distribution of the sample mean weight is:
[tex]\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}=\frac{25}{\sqrt{16}}=6.25[/tex]
c.
The average weights for a sample of 16 people will result in the total weight exceeding the weight limit of 2500 lbs. is:
[tex]\text{Average Weight}=\frac{2500}{16}=156.25[/tex]
d
Compute the probability that a random sample of 16 persons on the elevator will exceed the weight limit as follows:
[tex]P(\bar X > 156.25)=P(\frac{\bar X-\mu_{\bar x}}{\sigma_{\bar x}}>\frac{156.25-151}{6.25})\\\\=P(Z>0.84)\\\\=1-P(Z<0.84)\\\\=1-0.79955\\\\=0.20045\\\\\approx 0.20[/tex]
To prepare for a bake-off, Kent used 560 grams of flour each day for 2 weeks. How many kilograms did Kent use in those 2 weeks?
Answer:
7.840
Step-by-step explanation:
560 grams times the number of days
560×14=7840grams
1000grams = 1 kilogram soo
7840g=7.840kg
The number of accidents per week at a hazardous intersection varies with mean 2.2 and standard deviation 1.4. The distribution of this particular variable is very right skewed.(a) Suppose we let (X-bar) be the mean number of accidents per week at the intersection during 9 randomly chosen weeks. What is the probability that (X-bar) is less than 2?(b) Now let X be the mean number of accidents per week at the intersection during a year (52 weeks). What is the probability that X is less than 2?
Answer:
The probability that sample mean is less than 2 is 0.1423.
Step-by-step explanation:
Let X denote the number of accidents per week at a hazardous intersection.
It is provided that the mean and standard deviation of X are, μ = 2.2 and σ = 1.4.
(a)
According to the Central Limit Theorem if an unknown population is selected with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from this population with replacement, then the distribution of the sample means will be approximately normally.
Then, the mean of the sample means is given by,
[tex]\mu_{\bar x}=\mu[/tex]
And the standard deviation of the sample means is given by,
[tex]\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}[/tex]
As the sample size is not large enough, i.e. n = 9 < 30, the Central Limit Theorem cannot be applied to approximate the sampling distribution of the mean number of accidents per week at the intersection.
And since the distribution of X is not specified, the probability cannot be computed.
(b)
In this case, the sample size is large enough, i.e. n = 52 > 30, the Central Limit Theorem can be applied to approximate the sampling distribution of the mean number of accidents per week at the intersection.
Compute the probability that sample mean is less than 2 as follows:
[tex]P(\bar X<2)=P(\frac{\bar X-\mu_{\bar x}}{\sigma_{\bar x}}<\frac{2-2.2}{1.4/\sqrt{56}})\\\\=P(Z<-1.07)\\\\=0.14231\\\\\approx 0.1423[/tex]
Thus, the probability that sample mean is less than 2 is 0.1423.
Eight sports fans were asked to count the number of baseball
caps and the number of basketball jerseys in their collection.
Create a scatter plot that represents the data that is shown in the
table. The x-axis represents number of baseball caps and the y-
axis represents the number of basketball jerseys.
Answer:
what grade are you in?
Step-by-step explanation:
don’t understand sb help
Answer:
the 3rd one
Step-by-step explanation:
Answer:
It is the second one
Step-by-step explanation:
If {x) = 3x + 2, what is (5)?
You mean f(x) = 3x+2 and what is f(5)?
f(5) = 3(5)+2
f(5) = 15+2
f(5) = 17
So f(5) = 17
A 115-inch is cut into two pieces. One piece is four times the length of the other. Find the lengths of the two pieces.
Answer:
Shorter piece: 23 inches
Longer piece: 92 inches.
Step-by-step explanation:
Since the longer piece is four times the length of the other, we multiply 23*4 and we get 92 inches.
How did the National Woman Suffrage Association (NWSA) differ from the American Woman Suffrage Association (AWSA)?
Answer:
The National Woman Suffrage Association advocated for a range of reforms to make women equal members of society, such as the right to own property, etc. The American Woman Suffrage Association lobbied state governments to enact laws granting or expanding women's right to vote in the United States.
Answer:
C: The NWSA wanted to address the voting rights of both women and formerly enslaved people.
Step-by-step explanation:
The NWSA wanted to address and justify the rights of both former slaves and women, while the AWSA only wanted to either help women or former slaves, not simultaneously.
Does the graph represent a function? Why or why not?
10-
-10
10
-10-
O A. No, because it fails the vertical line test.
B. No, because it fails the horizontal line test.
O C. Yes, because it passes the vertical line test.
O D. Yes, because it passes the horizontal line test.
Answer:
no because it fails the vertical line test
simplify this complex fraction 1 2/3 divided by 2 1/9
Answer:
[tex]\frac{5}{3} \times\frac{9}{19}[/tex]
Step-by-step explanation:
In order to simplify this equation you need to convert these whole number fractions into improper fractions and then use KCF. (Keep, Change, Flip)
[tex]1\frac{2}{3} \div2\frac{1}{9}[/tex]
Convert into improper fractions:
[tex]1\frac{2}{3} = 3\times1+2=\frac{5}{3}[/tex]
[tex]2\frac{1}{9} =9\times2+1=\frac{19}{9}[/tex]
(Remember to keep the denominators the same)
[tex]\frac{5}{3} \div\frac{19}{9}[/tex]
Now use KCF
[tex]\frac{5}{3} \div\frac{19}{9} = \frac{5}{3} \times\frac{9}{19}[/tex]
[tex]= \frac{5}{3} \times\frac{9}{19}[/tex]
Hope this helps.
Describe how to round 3.987 to the nearest tenth.
Answer:
4
Step-by-step explanation:
You see the hunderth digit has a 8, so you round up. 0.9+0.1=1 so you add 1 to 3, so 3.987 rounded is 4
Three points on the function are (-1, 1) (0,3) and blank
Answer:
well assuming this is a normal function, the next point would be (1,5)
12(x-6)and 14(x+14).
plz help
Answer:
138 and 210?
Step-by-step explanation:
Which one are functions
Answer:
A
Step-by-step explanation:
PLEASE MARK BRAINLIEST IT WILL HELP SM
Answer:
its hard to see but I think all of them except the first and the last ones r
Step-by-step explanation:
an x can't repeat
James went to the store and bought a pair of shoes on sale for $40.00. This week they were a regular price of $64.50. What was the percent discount that he bought the shoes for?
I need work shown.
Answer:
A. 62%
Step-by-step explanation:
64.50x = 40
x = 0.62015 or 62%
This means 62% of original price is $40, discount is 38%. From your options seem to be asking for percent of original price paid and not discount.
Find the circumference of the circle
Answer:
31.4 cm
Step-by-step explanation:
it says [tex]c =\pi d[/tex]
d stands for the diameter and to find d, just add the radius by itself.
So to find d, you would add 5 + 5 which would be 10 and multiply 3.14 which stands for pi. And the answer you would get is 31.4
Hope this helps and pls mark me brainliest if you can:)
PLZZZZZZZZZZZZZZZZZZZZZZ HELP!!!
QUESTION: -2(x-6)=8
STUDENT WORK:
-2(x-6)=8
-2x-12=8
-12 -12
-2x+0=-4
-2x=-4
÷2 ÷2
x=-2
1. Explanation of Errors Made
2. Correct Solution (show all work)
Answer:
The error was made in the division step it should have been divided by negative 2
-2(x-6)=8
-2x+12=8
-2x=-4
-x=-2
X=2
Which algebraic expression represents “Sarah has fives times as much homework today as yesterday”?
5 + h
5 h
h minus 5
StartFraction h Over 5 EndFraction
Answer:5h
Step-by-step explanation: i just did the quiz
Pls help thanks :)
..................
The area of a square is 81 m ^ 2 what is the perimeter of the square? How do you know?
Answer:
The answer is 36m.
Step-by-step explanation:
So, first of all, you need to remember that the formula for the area of a square is x^2, or one side multiplied by another side. Also recall that in a square all sides are equal. This means that x^2=81. Now, the square root of 81 equals 9 (you should have this memorized by now). So, if each side of the square is 9, and there are 4 sides, the perimeter would be 9*4, which is 36m.
Given that R= 4x +6y find x when y= 4 and R=11
Answer:
The value of x:
[tex]x=-\frac{13}{4}[/tex]Step-by-step explanation:
Given the equation
[tex]R=4x+6y[/tex]
substituting the values y=4 and R=11
[tex]R=4x+6y[/tex]
[tex]11=4x+6\left(4\right)[/tex]
[tex]11=4x+24[/tex]
[tex]11-24=4x[/tex]
switching the sides
[tex]4x=11-24[/tex]
Subtract the numbers: 11-24=-13
[tex]4x=-13[/tex]
Divide both sides by 4
[tex]\frac{4x}{4}=\frac{-13}{4}[/tex]
[tex]x=-\frac{13}{4}[/tex]
Therefore, the value of x:
[tex]x=-\frac{13}{4}[/tex]The midpoint of AB is M(6,-3). If the coordinates of A are (4, - 7), what are the
coordinates of B?
Answer:
(8,1)
Step-by-step explanation:
(8,1) you have to add do to the same to B
Pont B is located at coordinates at the line AB (8, 1)
What are coordinates?A pair of numbers called coordinates are used to locate a point or a form in a two-dimensional plane. The x-coordinate and the y-coordinate are two numbers that define a point's location on a 2D plane.
Given, The midpoint of AB is M(6,-3). If the coordinates of A are (4, - 7)
From the general formula of midpoints of a line
coordinates of midpoint = ((x₂ + x₁)/2, (y₂ + y₁)/2)
where,
(x₁, y₁) are the coordinates of A
(x₂, y₂) are the coordinates of B
And in our case Coordinates of the midpoint are (6, -3)
Thus,
6 = (4 + x₂)/2
x₂ = 8
-3 = (-7 + y₂)/2
y₂ = 1
therefore, the coordinates of Pont B at line AB are (8, 1)
Learn more about coordinates here:
https://brainly.com/question/20282507
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Last year Mr Peterson had a fence all the way around his garden. He can reuse all of the fence he had around the garden last year but he needs to buy more fencing to go around this years garden. How many more meters of fencing is needed for this years garden than last years?
Complete Question:
Last year Mr. Petersen’s rectangular garden had a width of 5 meters and an area of 20 square meters. This year he wants to make the garden three times as long and two times as wide.
Last year, Mr. Petersen had a fence all the way around his garden. He can reuse all of the fence he had around the garden last year, but he needs to buy more fencing to go around this year’s garden.
How many more meters of fencing is needed for this year’s garden than last year’s?
Answer:
26 meters of fencing needed
Step-by-step explanation:
Given
Last Year:
[tex]Width = 5m[/tex]
[tex]Area = 20m^2[/tex]
This Year:
[tex]Length = 3\ times\ longer[/tex]
[tex]Width = 2\ times\ wider[/tex]
Required
Determine how many more meters is needed
Represent last year's length of Fence with L and last year's width with W
First, we need to calculate L
[tex]Area = L * W[/tex]
Where
[tex]Area = 20m^2[/tex]
[tex]W = 5m[/tex]
[tex]20m^2 = L * 5m[/tex]
Divide both sides by 5m
[tex]\frac{20m^2}{5m} = \frac{L * 5m}{5m}[/tex]
[tex]\frac{20m^2}{5m} = L[/tex]
[tex]L = \frac{20m^2}{5m}[/tex]
[tex]L = 4m[/tex]
So, we have that:
For Last Year
[tex]Length = 4m[/tex] and [tex]Width = 5m[/tex]
For this year:
[tex]Length = 3\ times\ longer[/tex]
[tex]Length = 3 * 4m[/tex]
[tex]Length = 12m[/tex]
[tex]Width = 2\ times\ wider[/tex]
[tex]Width = 2 * 5m[/tex]
[tex]Width = 10m[/tex]
So, for this year, we have:
[tex]Length = 12m[/tex] and [tex]Width = 10m[/tex]
Next, we calculate perimeter of fencing in both years.
[tex]Perimeter = 2 * (Length + Width)[/tex]
Last Year:
[tex]Perimeter = 2 * (4m + 5m)[/tex]
[tex]Perimeter = 2 * 9m[/tex]
[tex]Perimeter = 18m[/tex]
This Year:
[tex]Perimeter = 2 * (12m + 10m)[/tex]
[tex]Perimeter = 2 * 22m[/tex]
[tex]Perimeter = 44m[/tex]
To get the meters of fencing needed this year, we simply calculate the difference in the calculated perimeters.
[tex]Difference = 44m - 18m[/tex]
[tex]Difference = 26m[/tex]
Hence, there are 26 meters of fencing needed
Order the numbers from least to greatest
Answer:
-5.5, -3.75, 9/4
Step-by-step explanation:
9/4 is 2.25 so this is your answer.
Answer:
-5.5, -3.75, 9/4
Step-by-step explanation:
Cooper wrote checks on his checking account for $20 and $35. He also deposited $63 in the account. Which number describes the change in the balance of his account? A.$12 B.$8 C.$15
Answer:
the change is b 8. 63-55=8 35+20=55
find the radii of a circle 6.16ha
Answer:
88m
Step-by-step explanation:
area = 6.16msq
πrsq=6.16
22/7*rsq=6.16/100
22/7*rsq=616
rsq=616*7/22
rsq=4321/22
rsq=196
r=√196
r=14m
diameter=14*2=28m
radius=14m
circumfrence=2πr
=2*22/7*14
=44*2
=88m
Which polynomial was factored? x2 – 2x – 8 x2 + 2x – 8 x2 – 2x – 4 x2 + 2x – 4
Answer:
x^2+2x-8
Step-by-step explanation:
x^2+2x-8 = (x+4)(x-2)
Answer: A. x^2 -2x -8
Step-by-step explanation:
h(x) = x2 + 3x - 2; 12 - h(7)
Solve
What is the equation of the line that passes through the point (-3. 4) and has a
slope of 1/3?
How is 2+ (2) similar to adding 2+2 how is different explain your answer
Answer:
2+2 is 4-1=3 quick maths
Step-by-step explanation:
Answer:
2+(2) is the same to adding 2+2 because the "(" " )" just mean the you have to add the 2 + 2 just like----- 2+2