The percentage of married couples who own a single family home is 33% for a given population. A financial analyst is interested in the impact that home mortgages have on a couple's finances. As the financial analyst sets up a study, they are curious about the impact of sample size. What is the standard error of the sampling distribution of sample proportions for samples of size n=200, n=300, and n=400? Round all answers to the nearest thousandths if applicable.
Answer:
For samples of size n=200, the standard error is of 0.033.
For samples of size n=300, the standard error is of 0.027.
For samples of size n=400, the standard error is of 0.024.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
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 percentage of married couples who own a single family home is 33% for a given population.
This means that [tex]p = 0.33[/tex]
Samples of 200:
[tex]s = \sqrt{\frac{0.33*0.67}{200}} = 0.033[/tex]
For samples of size n=200, the standard error is of 0.033.
Samples of 300:
[tex]s = \sqrt{\frac{0.33*0.67}{300}} = 0.027[/tex]
For samples of size n=300, the standard error is of 0.027.
Samples of 400:
[tex]s = \sqrt{\frac{0.33*0.67}{400}} = 0.024[/tex]
For samples of size n=400, the standard error is of 0.024.
What is the difference of the two expressions shown below (3/4X+2)-(1/4x+5). Explain why
A. 1/2x + 7
B. x + 7
C. 1/4X - 3
D.1/2x - 3
Answer:
D. 1/2x - 3Step-by-step explanation:
(3/4x + 2) - (1/4x + 5) =3/4x - 1/4x + 2 - 5 = 2/4x - 3 = 1/2x - 3Correct choice is D
Sophomore, junior, and senior students at a high school will be surveyed regarding a potential increase in the extracurricular student activities fee. There are three possible responses to the survey question...agree with the increase, do not agree with the increase, no opinion. A chi-square test will be conducted to determine whether the response to this question is independent of the class in which the student is a member. How many degrees of freedom should the chi-square test have? A9 B6 C4 D2 E1
Answer: C) 4
Step-by-step explanation:
The chi-square test should have 4 degrees of freedom
The categories of students are:
Sophomore, junior, and senior students
The categories of response are:
.agree with the increase, do not agree with the increase, no opinion
There are three (3) categories of students and three (3) categories of response.
So, the degrees of freedom is calculated as:
[tex]df = (r -1) * (c -1)[/tex]
Where:
r = 3 i.e. categories of students
c = 3 i.e. categories of response.
This gives
[tex]df = (3 -1) * (3 -1)[/tex]
[tex]df = 2 * 2[/tex]
[tex]df = 4[/tex]
Hence, the chi-square test should have 4 degrees of freedom
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Linda just bought 7 bags of 14 cookies each. She already had 8 cookies in a jar. How many cookies does Linda have now?
Answer:
106
Step-by-step explanation:
Answer:
106
Step-by-step explanation:
(14 x 7) + 8 = 106
Use a calculator to find the natural logarithm, base e.
In 744.1
Answer:
6.612175434403215
Step-by-step explanation:
This one is quite easy to solve, depending on your calculator click shift over the log function and then natural log will pull up and then you just put in 744.1
For each function, find f(−x) and −f(x) and then determine whether it is even, odd, or neither. Justify your answer. f(x)=2x^2-7x+10
The function f(x) = 2x² - 7x + 10 is an odd function.
f(-x) = 2(-x)² - 7(-x) + 10
= 2x² + 7x + 10
-f(x) = -[2x²- 7x + 10]
= -2x² + 7x - 10
To determine whether the function f(x) = 2x² - 7x + 10 is even, odd, or neither, we compare f(-x) and -f(x).
1. f(-x) = 2x² + 7x + 10
2. -f(x) = -2x² + 7x - 10
To determine if f(-x) = -f(x) (even function), we substitute -x for x in f(x) and check if the equation holds.
1. f(-x) = 2x² + 7x + 10
= f(x) (not equal to -f(x))
Since f(-x) is not equal to -f(x), the function is not even.
Next, to determine if f(-x) = -f(x) (odd function), we substitute -x for x in f(x) and check if the equation holds.
2. -f(x) = -2x² + 7x - 10
= -(2x² - 7x + 10)
= -(f(x))
Since -f(x) is equal to -(f(x)), the function is odd.
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Help ASAP!!! Please show all work!!!!!!!
Show all work to solve the equation for x. If a solution is extraneous, be sure to identify it in your final answer.
[tex]\sqrt{x+7} -1=x\\[/tex]
Answer:
x = 2 and x = -3
Step-by-step explanation:
We need to find the value of x in the below expression.
[tex]\sqrt{x+7} -1=x[/tex]
Adding 1 to both sides,
[tex]\sqrt{x+7} -1+1=x+1\\\\\sqrt{x+7}=x+1[/tex]
Squaring both sides,
[tex]x+7=(x+1)^2\\\\x+7=x^2+1+2x\\\\x^2+1+2x-x-7=0\\\\x^2+x-6=0\\\\x=2\ and\ -3[/tex]
Hence, this is the required solution.
[tex]\bf\huge x=2 [/tex]
Step-by-step explanation:
Given that :[tex]\sqrt{x+7} -1=x\\[/tex]to find :[tex]\sqrt{x+7} -1=x\\[/tex]explanation :⟼ [tex]\sqrt{x+7} -1=x\\[/tex]
⟼ √x + 7 = x + 1
⟼ x + 7 = x² + 2x + 1
⟼ x + 7 - x² - 2x - 1 = 0
⟼ -x + 6 -x² = 0
⟼ x² + x - 6 = 0
⟼ (x-2) (x+3) = 0
⟼ x = 2 and x = -3
When x = -3 the original equation √x+7-1 = x does not hold true. We will drop x = -3 from the solution set.Therefore,
⟼ x = 2.
verification :⟼ let take x = 2
⟼ [tex]\sqrt{x+7} -1=x\\[/tex]
⟼ √2+7 - 1 = 2
⟼ √9 - 1 = 2
⟼ 3 - 1 = 2
⟼ 2 = 2
hence verified ☑️How many 1- foot rulers laid end to end would it take to equal 9 yards?
Answer: 27
Step-by-step explanation: hope this help
Jamal has 15.00 to spend at the concession stand. He buys nachos for 7.50. and he wants to purchase some sour straws for 1.50 each. How many sour straws can Jamal purchase with the money that he has.
I NEED HELP PLEASE
PLEASE give me the variable please please please and the inequality please no links I will report you comment and answer
ILL GIVE BRAINLIEST
Answer:
Inequality is 15 = 7.5 + 1.5x
x = 5, he can buy 5 sour straws
Step-by-step explanation:
For the inequality, just set the total money he has (15) equal to the total cost of the nachos (7.5) and sour straws (1.5)
Since we don't know how many straws he can buy, use a variable, I used x.
You get 15 = 7.5 + 1.5x, which solved out gives you x = 5.
Hopefully this helps - let me know if you have any questions!
find the lateral surface area of the prism. geometry hw
Answer:
250
Step-by-step explanation:
Hello There!
The prism shown is a pentagonal prism
And we need to find the lateral surface area ( pretty much area of everything except for the bases.)
We can calculate the lateral surface area by using this formula
[tex]la=5ah[/tex]
where a (on the right hand side) equals the base edge length and h = height
(btw the 5 represents the number of sides)
so the base edge length of the shown figure is 5 and the height is 10
having found this information we plug it into the formula
[tex]la=5*5*10\\10*5=50\\50*5=250[/tex]
so we can conclude that the lateral surface area of the shown pentagonal prism is 250 cm²
make up a new animal that can do some incredible thing. write a short description of that animal and its special capability compared to it's size. write a proportion question regarding your size and what you could be
Answer:
Dragon, legendary monster usually conceived as a huge, bat-winged, fire-breathing, scaly lizard or snake with a barbed tail. The belief in these creatures apparently arose without the slightest knowledge on the part of the ancients of the gigantic, prehistoric, dragon-like reptiles
60 POINTS AND BRAINLIEST Select all the true statements below.
Prisms have 2 parallel bases, while pyramids have only a single base.
Pyramids have 2 bases, while prisms have only a single base.
The lateral faces of a prism meet at a single vertex and are always shaped as a triangle.
The lateral faces of of a pyramid meet at a single point and are all shaped as triangles.
To find the surface area of a prism, you must consider slant height
To find the surface area of a pyramid, you must consider slant height.
Prisms and pyramids are both named for the shapes of their bases.
Pyramids are named for the shapes of their bases, but prisms are not.
Neither pyramids nor prisms are named for the shapes of their bases.
Answer:
Prisms have 2 parallel bases, while pyramids have only a single base.The lateral faces of of a pyramid meet at a single point and are all shaped as trianglesTo find the surface area of a prism, you must consider slant heightPrisms and pyramids are both named for the shapes of their bases.I don’t get this question and need help. please hell
Learning Check Evaluate Algebraic Expressions Substitute for the given values. Then, solve using the order 2x + 10 when x = 5
Answer:
20
Step-by-step explanation:
2(5)+10=20
[tex]\huge \colorbox{pink}{Mathematics}[/tex]
2x + 10 when x = 5
Solution[tex]2x + 10 \\ = 2(5) + 10 \\ = 10 + 10 \\ = 20[/tex]
Answer: 20Correct me if I'm wrong
I hope it helps ^_^
(-6) (-7)= equals what?
Answer: 42
Step-by-step explanation:
A negative number times a negative number will have a positive product.
(-6)(-7)=42
Hope this helps
What number should be added to both sides of the equation to complete the square? x-^2+8x=4
Answer:
2.
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
Write a rule to describe the transformation.
A(-2,-2), B(-3,2), C(-2,2), D(3,0)
A(-3,-3), B'(-4.5,3), C'(-3,3), D'(4.5,0)
Here's link to the answer:
bit.[tex]^{}[/tex]ly/3a8Nt8n
A bicycle is on sale at a 15% discount. The sale price is $680. What was the original price?
Answer:
$800 is the original price
Step-by-step explanation:
15% discount
if 85% = $680
100% =?
100/85 * $680
=$800
Answer:
800
Step-by-step explanation:
Susan knows that the coordinates of the center of a circle and a point on the circle are (-3, 2) and (10, -2), but she can't remember which coordinate pair is which. What could be an equation of the circle? Explain your answer.
9514 1404 393
Answer:
(x +3)² +(y -2)² = 185
(x -10)² +(y +2)² = 185
Step-by-step explanation:
One possible equation comes from using one of the points as center. The other possible equation comes from using the other point as center.
The radius can be found from the distance formula:
r² = (x2-x1)² +(y2-y1)² = (10-(-3))² +(2-(-2))² = 169 +16 = 185
The circle formula is ...
(x -h)² +(y -k)² = r² . . . . . . for center (h, k) and radius r
The above equations and the ones shown in the attachment are possibilities.
40 POINTS !! 40 POINTS !!
PLEASE HELP , DONT SKIP !
NO LINKS OR FILES.
Answer:
Just click an x on the graph for each number in the chart.
1/4 would have 4 x's
2/4 would have 2 x's
3/4 would have 1 x
1 would have 2 x's
help me!!!!!!!!!!!!!
8/7 ( x - 100/220) + 4 ( x + 8/9) = 38
Question 6 of 10
What is the equation of the following line? Be sure to scroll down first to see
all answer options.
10 T. (1.9)
-10
(0, 0)
10
-101
O A. y=-*
O B. y= 18x
O C. y=9x
O D. y= -18x
1
X
O E. y = 5
O F. y=-9x
SUBMIT
The equation of the line is y = 9x. The correct answer is C.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.
We are given that;
the points of line are (1,9) and (0,0).
Now,
In this case, the given points are (1, 9) and (0, 0). We can use them to find the slope:
m = (y2 - y1) / (x2 - x1) m = (0 - 9) / (0 - 1) m = -9 / -1 m = 9
Then we can use the point-slope form with any of the given points. Let’s use (0, 0):
y - y1 = m (x - x1) y - 0 = 9 (x - 0) y = 9x
This is already in slope-intercept form. The slope is 9 and the y-intercept is 0.
Therefore, the equation of the line will be y = 9x.
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Pls answer number 2 I’ll give brainliest thank youu!
Answer:
$4.40
Explanation:
8/100 = 0.08
55*0.08 = 4.4
Help Please my we dobnt know
Answer:
its B
Step-by-step explanation:
Answer:
Its the 3rd one.
Also can I have brain list
Step-by-step explanation:
solution of equation x^2-2x=-2
Answer:
[tex]x=1\pm i[/tex]
Step-by-step explanation:
The given equation is :
[tex]x^2-2x=-2\\\\x^2-2x+2=0[/tex]
The above equation is a quadratic equation whose solution can be given by :
[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}[/tex]
Here,
a = 1, b = -2 and c = 2
So,
[tex]x=\dfrac{-(-2)\pm \sqrt{(-2)^2-4(1)(2)} }{2(1)}[/tex]
So,
[tex]x=1+i,1-i\\\\x=1\pm i[/tex]
So, the solution of the equation is [tex]1\pm i[/tex].
how do i solve for the inequality, p=3.4?
Answer:
Step-by-step explanation:
This is already solved, and this would not be considered a inequality since it has only a equal sign.
Select the correct answer from each drop-down menu.
Carla wants to buy a new bike before summer starts in one week. She saves $1 on the first day of the week, $2 on the second day, $4 on the
third day, $8 on the fourth day, and continues this pattern the rest of the week.
If the bike costs $150, Carla will (have or not have)
enough money to buy the bike before the start of summer.
Carla will have ($15, $25 $23,$27,$5,$0)
Answer:
she will not have enough money
she will have 23 more to save
Step-by-step explanation:
got it right on plato
Answer:
If the bike costs $150, Carla will
not have
enough money to buy the bike before the start of summer.
Carla will have
$23
more to save
.
Step-by-step explanation:
Simplest form of a3b3c a-3b-3c-1
Answer:
a-6b-6c-2
Step-by-step explanation:
The mass of two balls is .80 kg each and they are separated by a distance of 0.25
meters. Calculate the gravitational force between the two balls.
Answer:
[tex]F=6.83\times 10^{-10}\ N[/tex]
Step-by-step explanation:
Given that,
The masses of two balls = 0.8 kg
The distance between masses = 0.25 m
We need to find the gravitational force between the two balls. The formula for the gravitational force is given by :
[tex]F=G\dfrac{m_1m_2}{r^2}\\\\F=6.67\times 10^{-11}\times \dfrac{0.8^2}{(0.25)^2}\\\\F=6.83\times 10^{-10}\ N[/tex]
So, the force between the balls is equal to [tex]6.83\times 10^{-10}\ N[/tex].
Your client has asked you to evaluate customers attending the games for a professional football team. The stadium is interested in increasing revenue. Based on the regression models and hypothesis tests learned in this topic and external references, discuss the specific type of data that could be collected from fans and used in a multiple regression model for NFL team revenue. Justify your selection by explaining how the data could be collected and why they are important. Be sure to state and refer to your reference.
Answer:
Number of spectators who leave the stadium before 180 minutesThis data would show if spectators only come to the stadium and stay until the end of the game when their favorite teams are playing
Number of customers/spectators attending the last 100 matchesThis data will help the stadium know the current trend ( either increasing of decreasing ) number of the spectators who visit the stadium
The data can be collected via the exit time entries at the exit gate of the stadiumhistory of ticket sold over the last 100 matcheswe have to conduct a hypothesis test assuming that a spectator watches a match for more than 180 minutes with an assumed standard deviation
we can also use regression analysis and line of best fit to check for the trends
Step-by-step explanation:
Aim : The Aim of the stadium is Increasing revenue generated in the stadium and some of the ways to achieve such is by taking specific data as regards the customers/spectators who visit the stadium
The type of data that could be collected from the fans to be used in multiple regression model:
Number of spectators who leave the stadium before 180 minutesThis data would show if spectators only come to the stadium and stay until the end of the game when their favorite teams are playing
Number of customers/spectators attending the last 100 matchesThis data will help the stadium know the current trend ( either increasing of decreasing ) number of the spectators who visit the stadium
How can the data be collected
The data can be collected via the exit time entries at the exit gate of the stadiumhistory of ticket sold over the last 100 matcheshow to apply the data
we have to conduct a hypothesis test assuming that a spectator watches a match for more than 180 minutes with an assumed standard deviation
we can also use regression analysis and line of best fit to check for the trends