Answer:
b. The mean of the sampling distribution will be equal to 0.2028.
f. The sampling distribution will be approximately normal.
g. The standard deviation of the sampling distribution will be 0.0336.
Step-by-step explanation:
We use the Central Limit Theorem to solve this question.
Central Limit Theorem:
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex].
The sample proportion being approximately normal means that option f. is correct.
Of 143 men, 29 said they would.
This means that [tex]p = \frac{29}{143} = 0.2028[/tex]
This means that option b is correct.
g. The standard deviation of the sampling distribution will be 0.0336.
Lets find the standard deviation.
Sample of 143, so [tex]n = 143[/tex]
[tex]s = \sqrt{\frac{0.2028*0.7972}{143}} = 0.0336[/tex]
So option g. is correct.
The statements that accurately describe the sampling distribution of the sample proportion of men would return money from a found wallet are;
B) The mean of the sampling distribution will be equal to 0.2028.
F) The sampling distribution will be approximately normal.
G) The standard deviation of the sampling distribution will be 0.0336.
Central Limit Theorem.
We are given the true proportion of all adult men who will return the money as; p = 18% = 0.18
Thus, the population mean = 0.18
Now, out of 143 men, 29 said they will return the money. Thus;
Sample mean = Sample proportion = 29/143 = 0.2028
The formula for the sampling standard deviation is;
s = √[p^(1 - p^)/n]
s = √[0.2028(1 - 0.2028)/143]
s = √0.001130574545
s = 0.0336
Looking at the options and comparing to the answers gotten above, only option B, F and G are correct.
Read more about Central Limit Theorem at; https://brainly.com/question/25800303
A square pyramid is shown. What is the surface area?
Answer:
The total surface area of a regular pyramidis the sum of the areas of its lateralfaces and its base. The general formula for thelateral surface area of a regular pyramidis where p represents the perimeter of thebase and SI the height of inclination.
Am I right? They want us to round to the nearest degree. I got 72 degrees. Answer ASAP
This figure is made up of a rectangle and parallelogram. What is the area of this figure.
Answer:
area of the parallelogram=6
area of the rectangle=20
total area=26 square units
find the slope of the line passing through the points (-3,2) and (-3,-7)
Slope = change in Y / change in x
Slope = (-7 - 2) / (-3 - -3)
Slope = -9/0
Because the change in x = 0, the slope is undefined.
The answer is the slope is undefined.
Select all the correct answers.
In which pairs of matrices does AB = BA?
Answer:
its the second and third option
Step-by-step explanation:
I took the test
In order to multiply a matrix by another matrix, we multiply the rows in the first matrix by the columns in the other matrix (How this is done is shown below)
To determine the pairs of matrices that AB=BA, we will determine AB and BA for each of the options below.
For the first option
[tex]A= \left[\begin{array}{cc}1&0&-2&1&\end{array}\right]; B= \left[\begin{array}{cc}5&0&3&2&\end{array}\right] \\[/tex]
[tex]AB= \left[\begin{array}{cc}(1\times5)+(0\times3)&(1\times0)+(0\times 2)&(-2\times5)+(1\times3)&(-2\times0)+(1\times2)&\end{array}\right]\\AB= \left[\begin{array}{cc}5+0&0+0&-10+3&0+2&\end{array}\right]\\AB = \left[\begin{array}{cc}5&0&-7&2&\end{array}\right] \\[/tex]
and
[tex]BA= \left[\begin{array}{cc}(5\times1)+(0\times-2)&(5\times0)+(0\times 1)&(3\times1)+(2\times-2)&(3\times0)+(1\times2)&\end{array}\right]\\BA= \left[\begin{array}{cc}5+0&0+0&3+-4&0+2&\end{array}\right]\\BA = \left[\begin{array}{cc}5&0&-1&2&\end{array}\right] \\[/tex]
∴ AB≠BA
For the second option
[tex]A= \left[\begin{array}{cc}1&0&-1&2&\end{array}\right]; B= \left[\begin{array}{cc}3&0&6&-3&\end{array}\right] \\[/tex]
[tex]AB= \left[\begin{array}{cc}(1\times3)+(0\times6)&(1\times0)+(0\times -3)&(-1\times3)+(2\times6)&(-1\times0)+(2\times-3)&\end{array}\right]\\AB= \left[\begin{array}{cc}3+0&0+0&-3+12&0+-6&\end{array}\right]\\AB = \left[\begin{array}{cc}3&0&9&-6&\end{array}\right] \\[/tex]
and
[tex]BA= \left[\begin{array}{cc}(3\times1)+(0\times-1)&(3\times0)+(0\times 2)&(6\times1)+(-3\times-1)&(6\times0)+(-3\times2)&\end{array}\right]\\BA= \left[\begin{array}{cc}3+0&0+0&6+3&0+-6&\end{array}\right]\\BA = \left[\begin{array}{cc}3&0&9&-6&\end{array}\right] \\[/tex]
Here AB = BA
For the third option
[tex]A= \left[\begin{array}{cc}1&0&-1&2&\end{array}\right]; B= \left[\begin{array}{cc}5&0&3&2&\end{array}\right] \\[/tex]
[tex]AB= \left[\begin{array}{cc}(1\times5)+(0\times3)&(1\times0)+(0\times 2)&(-1\times5)+(2\times3)&(-1\times0)+(2\times2)&\end{array}\right]\\AB= \left[\begin{array}{cc}5+0&0+0&-5+6&0+4&\end{array}\right]\\AB = \left[\begin{array}{cc}5&0&1&4&\end{array}\right] \\[/tex]
and
[tex]BA= \left[\begin{array}{cc}(5\times1)+(0\times-1)&(5\times0)+(0\times 2)&(3\times1)+(2\times-1)&(3\times0)+(2\times2)&\end{array}\right]\\BA= \left[\begin{array}{cc}5+0&0+0&3+-2&0+4&\end{array}\right]\\BA = \left[\begin{array}{cc}5&0&1&4&\end{array}\right] \\[/tex]
Here also, AB=BA
For the fourth option
[tex]A= \left[\begin{array}{cc}1&0&-2&1&\end{array}\right]; B= \left[\begin{array}{cc}3&0&6&-3&\end{array}\right] \\[/tex]
[tex]AB= \left[\begin{array}{cc}(1\times3)+(0\times6)&(1\times0)+(0\times -3)&(-2\times3)+(1\times6)&(-2\times0)+(1\times-3)&\end{array}\right]\\AB= \left[\begin{array}{cc}3+0&0+0&-6+6&0+-3&\end{array}\right]\\AB = \left[\begin{array}{cc}3&0&0&-3&\end{array}\right] \\[/tex]
and
[tex]BA= \left[\begin{array}{cc}(3\times1)+(0\times-2)&(3\times0)+(0\times 1)&(6\times1)+(-3\times-2)&(6\times0)+(-3\times1)&\end{array}\right]\\BA= \left[\begin{array}{cc}3+0&0+0&6+6&0+-3&\end{array}\right]\\BA = \left[\begin{array}{cc}3&0&12&-3&\end{array}\right] \\[/tex]
Here, AB≠BA
Hence, it is only in the second and third options that AB = BA
[tex]A= \left[\begin{array}{cc}1&0&-1&2&\end{array}\right] B= \left[\begin{array}{cc}3&0&6&-3&\end{array}\right] \\[/tex] and [tex]A= \left[\begin{array}{cc}1&0&-1&2&\end{array}\right]B= \left[\begin{array}{cc}5&0&3&2&\end{array}\right] \\[/tex]
Learn more on matrices multiplication here: https://brainly.com/question/12755004
WHAT IS THE AREA OF THE SHADED REGION?
Answer:
240cm
Step-by-step explanation:
An instructor wants to compare final grades of students in her online class and face-to-face class. Instructor selects 10 students randomly from each class and the following table shows the final grades of those students.
5.5
7
6
7
6.5
6
9
6.5
6.5
6.5
The 81st percentile of time students sleep per night is ______hours.
Answer:
7 hours
Step-by-step explanation:
The formular of percentile is given as;
n = (P / 100) * N
where;
n = ordinal rank
P = Percentile
N = Number of values
The grades are given as;
5.5, 7, 6, 7, 6.5, 6, 9 , 6.5, 6.5 , 6.5
Arranging in increasing order;
5.5, 6, 6, 6.5, 6.5, 6.5, 6.5, 7, 7, 9
n = (81/100) * 10 = 8.1 ≈ 8
The 81st percentile is the 8th term.
The 8th term = 7
Find the value of h(x) = -3x – 12 when x = -2? Show work
Answer:
-6
Step-by-step explanation:
h(x) = -3x – 12 becomes h(-2) = -3(-2) – 12 = -6
The measures of angles X and Y are the same, x degrees. The measure of angle Z is twice the measure of angle Y.
Answer:
angles X = 45°
angles Y = 45°
angles Z = 90°
Step-by-step explanation:
Given:
angles X = angles Y = x°
angles Z = 2 angles Y = 2x°
Find:
Each angle
Computation:
Using angle sum property
angles X + angles Y + angles Z = 180
x + x + 2x = 180
4x = 180
x = 45°
So,
angles X = 45°
angles Y = 45°
angles Z = 90°
Math Problem 30 points please help
Answer: One solution
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
they intersect at 1 point
Jessica earned $14 by baby sitting 4 hours
What's Jessica rate and Jessica's Unit Rate?
Answer:
$3.50
Step-by-step explanation:
14 ÷ 4 = 3.5
good luck, i hope this helps :)
Mr. Wellborn arrives at work at 8:40 AM. he leaves for work 50 minutes before he arrives. At what time does Mr Wellborn Leave for work?
Answer:
7:50
Step-by-step explanation:
Mr. Wellborn arrives 50 minutes before 8:40 so that means you subtracts 50 minutes from 8:40. 8:40-50=7:50
Therefore, the answer is 7:50
Hope this helps
Answer:
The answer is 7:50 A.M
Step-by-step explanation:
First we know that 50 is less than 40 so we subtract one hour. that get 50 so the answer is 7:50!
By the way, the person who answered this is a 3rd grader! If the answer is worng am sorry i tried my best.
im falling asleep at the kitchen table bc i have not slept in 3 days and i cant go to bed until its 8 or 9 and its 5:56pm ughhh
Answer:
I hope u can sleep more
Step-by-step explanation:
Answer:
ohhhhhhh
Step-by-step explanation:
yea that sucks but why can't you go to bed until 8-9?????
Compare: 2/3×(9+12)◯15×2/3
Answer:
[tex]\frac{2}{3}[/tex] (9 + 12) > 15 * [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
[tex]\frac{2}{3}[/tex] (9 + 12) = [tex]\frac{2}{3}[/tex] * 21 = 2 * 7 = 14
15 * [tex]\frac{2}{3}[/tex] = 5 * 2 = 10
14 > 10 ⇒ [tex]\frac{2}{3}[/tex] (9 + 12) > 15 * [tex]\frac{2}{3}[/tex]
Sean had 3 building sets and 18 toy cars in his toy box. At his birthday party, he received 20 gifts. He got 3 train sets, 4 building sets and 9 toy cars. The rest of the gifts are comic books. 3/4 of the gifts are wrapped. 1/3 of the wrapped gifts are wrapped in blue wrapping paper and 1/ 5 of them are wrapped with ribbons. What fraction of the gifts are train sets? What fraction of the gifts are comic books? What fraction of his toy cars are new?
Answer:
1.3/20 2.4/20 or 1/5 3.9/27 or 1/3
Step-by-step explanation:
I hope this helped!
Hillary’s dance workout consists of 15 minutes of warm-up, 20 minutes of ballet workout and 25 minutes of group dance. What is the ratio of the number of minutes she does the warm-up to the total number of minutes of her entire workout?
Answer:
[tex]\frac{1}{4}[/tex]
Step-by-step explanation:
15+20+25=60
15/60=[tex]\frac{1}{4}[/tex]
The area of a cross section through the center of a sphere is 46 square inches. Find the surface area of the sphere.
Answer:
184 in.^2
Step-by-step explanation:
The cross section through the center of a sphere is a circle whose radius is equal to the radius of the sphere.
area of circle
[tex]A_{circle} = \pi r^2[/tex]
[tex] \pi r^2 = 46 [/tex]
[tex] r^2 = \dfrac{46}{\pi} [/tex]
[tex] r = \sqrt{\dfrac{46}{\pi}} [/tex]
[tex] r = 3.83 ~in.[/tex]
surface area of sphere
[tex] SA = 4 \pi r^2 [/tex]
[tex] SA = 4 \times \pi \times (3.83)^2 [/tex]
[tex] SA = 184~in.^2 [/tex]
30 POINTS TO WHOEVER GETS IT. WILL MARK BRANLIEST. A lever is four meters long. A load of 1,200 newtons is placed one meter from the fulcrum. The force on the 3 meter arm
that will make it balance is
In order to lift the load above, a work input of 1500 Nm is applied. What is the efficiency of this lever?
Answer:
Your efficiency is 80%. N is 400
Step-by-step explanation:
I hope I helped :)
Would appreciate Brainliest ;)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Have a lovely day and good luck with your school work!
I believe the answer is 400, 80%
have a blessed day!
helppppppppp!!! need work
Answer:
d. y = 3x + 5
Step-by-step explanation:
plug x = 2 in the equation y = 3x +5
y = 3*2 + 5
y = 11
so x = 2, y = 11
we know d is the correct statement
Answer:
your question and is d option
how many inches is 2 1/6 ft
Answer:
26 inches
Step-by-step explanation:
56
47
The diagram shows a round fountain surrounded by a circular path. The radius of the fountain is 47 yards, and the distance from the center of
the fountain to the outer edge of the path is 56 yards.
The estimated area of the fountain is
square yards, and the estimated area of the path is
square yards.
Hint: The formula for the area of a Circle is A = 12
Answer:
the estimated area of the fountain is 147.58 square yards and the estimated area of the path is 28.26 square yards
Step-by-step explanation:
#platolivesmatter
your welcome!!!
The area of the fountain is 147.58 square yards, and the area of the path is 28.25 square yards.
What is a circle?A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle. Additionally, every angle has rotational symmetry around the center.
Given
a circular fountain,
radius of fountain = √47 yards
area of fountain = πr²
area = π(√47)²
area = 147.58 square yards.
and fountain surrounded by a circular path,
which form a concentric circle with fountain,
the radius of the circular path from center of the fountain = √56 yards
area of the path = total area with radius √56 - an area of fountain
area of the path = π(√56)² - 147.58
area of the path = 175.84 - 147.58
area of the path = 28.26 square yards
Hence the area of the fountain is 147.58 square yards,
area of path = 28.25 square yards.
Learn more about circles;
https://brainly.com/question/29142813
#SPJ2
Pls solve and show the steps, I'll give brainliest to whoever replies first and accurately
On the maturity date of a $6,600, 9-month, 12% note, the borrower sends a check that includes the principal and all of the interest due on the note. What is the amount of the borrower’s check?
Answer:
$7194
Step-by-step explanation:
Given the following
Principal = $6600
Time = 9months = 9/12 year
Rate R = 12%
Interest = PRT/100
Interest = 6600*9/12 * 12/100
Interest = 66*9
Interest = $594
Amount on the borrowers check = principal + interest
Amount on the borrowers check = 6600 + 594
Amount on the borrowers check = $7194
Official unemployment rates for the U.S. population are reported on a monthly basis by the Bureau of Labor Statistics. For the period October, 2011, through January, 2012, the official unemployment rates were 8.9% (Oct.), 8.7% (Nov.), 8.5% (Dec.), and 8.3% (Jan.). (Source: U.S. Bureau of Labor Statistics, www.bls.gov.) If the unemployment rates were to continue to decrease following a linear model, (a) predict the unemployment rate on January, 2013. (b) predict when the United States would reach a zero unemployment rate.
Step-by-step explanation:
Clearly, there is a common difference between the monthly employment rates:
8.7% - 8.9% = -0.2%
8.5% - 8.7% = -0.2%
8.3% - 8.5% = -0.2%
a) So, for every month x, the percentage will go down 0.2%, starting at 8.9%. So, we can make this equation:
y = -0.2x + 9.1, where x = 1 would be October 2011.
January 2013 is 16 months after October 2011, so:
y = -0.2(16) + 9.1
y = 5.9%
b) To find when the unemployment rate will be zero, we set the equation equal to zero:
0 = -0.2x + 9.1
-0.2x = -9.1
x = 45.5 months
So, rounding up, the U.S. would reach a zero unemployment rate in 46 months or around September 2014? Not completely sure.
3.Not Answered 4.Not Answered 5.Not Answered 6.Not Answered 7.Not Answered 8.Not Answered 9.Not Answered 10.Not Answered 11.Not Answered 12.Not Answered 13.Not Answered 14.Not Answered 15.Not Answered 16.Not Answered 17.Not Answered 18.Not Answered 19.Not Answered 20.Not Answered Question Workspace Check My Work In a linear regression model, the variable that is being predicted or explained is known as _____________. It is denoted by y and is often referred to as the response variable
Answer:
The answer to your question is Dependent Variable.
In a linear regression model, the variable that is being predicted or explained is known as Dependent Variable . It is denoted by y and is often referred to as the response variable
Step-by-step explanation:
I don't really know how to explain sorry.
Brainliest pls! :)
Answer:Dependent Variable
Don’t want to fail please help! Will mark brainliest!
Answer:
1 is correct 2 is correct 3 is correct And Thats all i know
Step-by-step explanation:
ou intend to draw a random sample in order to test a hypothesis about an unknown population mean. You will use a hypothesis test. A description of each of the steps of a hypothesis test follows, but they may be specified in the incorrect order. Specify the correct order of the steps. Determine the null and alternative hypotheses. Draw a conclusion about the unknown population using what is known about the sample. Determine the probability at which you will conclude that the sample outcome is very unlikely. Draw a random sample, and calculate the sample statistic.
Answer:
Determine the null and alternative hypotheses : STEP 1
Draw a conclusion about the unknown population using what is known about the sample : STEP 4
Determine the probability at which you will conclude that the sample outcome is very unlikely : STEP 2
Draw a random sample and calculate the sample statistic : STEP 3
Step-by-step explanation:
The correct order of the steps are :
Determine the null and alternative hypotheses : STEP 1
Draw a conclusion about the unknown population using what is known about the sample : STEP 4
Determine the probability at which you will conclude that the sample outcome is very unlikely : STEP 2
Draw a random sample and calculate the sample statistic : STEP 3
Write an equation for a line parallel to y =
3x + 2 and passing through the point (2,-10)
y =
Answer:
i think its 4x
Step-by-step explanation:
hope it helps
Casey has a litter of five puppies and four of them are gray at this rate how many puppies would be gray in a litter of 25 puppies?
Answer:
20
Step-by-step explanation:
Find x and Find m<MNO please help fast
