Answer:
D.) I would expect the means and standard deviations in the two test to be about the same, but the standard error in Test B should be smaller than in Test A.
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]
By the Central Limit Theorem:
Both tests, A and B, are of the same quantity, so they have the same mean and standard deviation. However, since the standard error is inversely proportional to the sample size, and test B has a greater sample size than test A, the standard error in test B should be lower, and thus, the correct answer is given by option D.
Party trays, which cost $14 to make not including labor, are sold for $35.00. If two people work 8 hour shifts making the trays at $7.00 per hour, how many trays must be sold to cover all costs including labor?
Answer:
5.33 trays must be sold to cover all costs including labor
Step-by-step explanation:
Party trays, which cost $14.00 to make not including labor, are sold for $35.00. Profit on party trays excluding labour cost = $35 - $14 = $21 Now we will find total labor cost for making party tray for a day Total labor hours * wages per hour* No. of labors = $7 * $8*2 = $112 Therefore to find how many trays must be sold to cover all costs including labor just divide total labour cost for making party tray for a day by profit on party trays excluding labour cost. = $112/$21 = 5.33 It means 5.33 trays must be sold to cover all costs including labor.
PLEASE HELP I WILL MARK YOU BRAINLIEST!!
Frank earns x dollars every week. Each week he saves all of his money except $20, which he spends on food and gas. The rest of the money he deposits in his bank account. If he saved $260 over 4 weeks, how much money does Frank earn every week?
Answer:
85 dollars
Step-by-step explanation:
Big brain
Find the area of the shaded region:
Answer:
34560
Step-by-step explanation:
You have to multiply to get your answer
Hope I'm right...
Hope this helps plz like and brainly :D
Heeeeeeeeeeeeeeeelp!
Answer:
117
Step-by-step explanation:
1. Use the given graph. Determine the period of the function. (1 point)
10
-2.5
OOOO
8
Answer:
4 a
Step-by-step explanation:
trust
U7 L1 Exploring Periodic Data: Multiple Choice:
1. Use the given graph. Determine the period of the function. (1 point)
a) 42. Determine whether the function is periodic. If it is, find the period. (1 point)
a) periodic; about 63. Determine whether the function is periodic. If it is, find the period. (1 point)
b) not periodic4. Find the period and the amplitude of the periodic function. (1 point)
c) 2; 0.55. The screen below shows the graph of a sound recorded on an oscilloscope. What are the period and the amplitude? (Each unit on the t-axis equals 0.01 seconds.) (1 point)
a) 0.05 seconds; 4.5I just took the test, 5/5 (100%)
The plus minus of a player for the first forty games of the season is listed below. A plus when is your team scored more
points while you were playing, and a minus is when your team scored fewer points while you were playing.
8,5,7-10, 23,-9, -16, 7, 12, 22, 35, 17, 11,-8, 9, 14, 16, -12, 17, 15, 8, 10, 20, 18, -14, 16, 10, 9, -15, -13, -7, 8, 3, 0, 9, 12, 16, 18,
-10,
The population mean is 5.9. Which sample mean best measures the population mean for this player's average
plus/minus score?
8.5, 7.-10. 23.9
9.-16.7. 12, 35, 17, 11, -3
-12, 17, 15, 8, 10, 20, 18, -14, 16, 10, 9.-15.-13
2018-14, 16, 10.9.-15. -13, -7.8.
0, 9, 1216, 18.-10.-4
Answer:
take the population mean divided by four
Step-by-step explanation:
WILL GIVE BRAINLIEST FOR CORRECT ANSWER
Answer:
Any closed shaped figure with straight sides and angles
Step-by-step explanation:
What is the solution to the system of equations graphed below?
Answer:
There are no equations that we can see but send me a screen shot in discord of it and I will help, my discord is Mousycritter#2842
Step-by-step explanation:
Can someone help me figure this out please? Derek has 277 stickers. What number can you use to describe how many stickers Derek has? Explain how you decided.
What is the period of the graph of
Move the numbers in order of least to greatest.
8.295, 8.013, 8.26 8.12
Answer:
8.13, 8.12, 8.26, 8.295
Step-by-step explanation:
A bank loans a customer $95,000 for a period of 20 years. The simple interest rate of the loan is 6.5%. What is the amount of simple interest?
A.
$140,000
B.
$123,500
C.
$135,000
D.
$100,000
Answer:
b
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 6.5%/100 = 0.065 per year,
then, solving our equation
I = 95000 × 0.065 × 20 = 123500
I = $ 123,500.00
The simple interest accumulated
on a principal of $ 95,000.00
at a rate of 6.5% per year
for 20 years is $ 123,500.00.
Reflect shape A in the line x = -2
The reflection of shape from x = -2 shown below.
What is Transformation?A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.
We have,
To reflect the figure from x= -2.
Then, the coordinates of object after reflection is
(-1, -1)
(1, -1)
(-1, -4)
(0, -4)
(1, -3)
Learn more about transformation here:
https://brainly.com/question/13801312
#SPJ2
HELPP
What is the value of x?
Answer:
d
Step-by-step explanation:
Answer:
x=10
Step-by-step explanation:
The sum of the angle of a quadrilateral is 360 degrees
92+100 +102 +5x+16 = 360
Combine like terms
5x+310 = 360
Subtract 310 from each side
5x+310 -310 =360-310
5x = 50
Divide by 5
5x/5 = 50/5
x = 10
ROUND EACH VALUE TO THE NEAREST TENTH
Answer;
100??
Step-by-step explanation: g
INFO: The chairs are evenly spaced around
the wheel
Question: If the length of the cable from L to E is 80 feet, E to the ground is 35 feet, and F to the ground is 40
feet, what is the length of the cable from J to F?
Answer: About 72 feet
The more accurate value is roughly 71.7260397 feet (however, this value isn't fully exact either).
======================================================
Explanation:
Check out the diagram below. It's effectively the same diagram your teacher provided, but I've added points M and N. I've left out any unnecessary lines.
M = center of the circleN = location where the cable is anchored to the groundWe're told that "(the length of cable from) E to the ground is 35 feet", so this is the red portion of cable that I've marked this as NE = 35, ie segment NE is 35 feet long. We're also told that NF = 40 feet, which is also shown in red.
The blue portions are chords of the circle. We're given one chord as LE = 80 ft, while the other chord JF is what we want to find out.
-----------------
What we need to find is the radius of this circle. Right away, it's not clear what the radius is; however, we can use the chord LE = 80 to help find it.
It turns out that the chord length c is connected to the radius r and central angle theta like so:
c = 2*r*sin(0.5*theta)
where theta must be in radian mode. The central angle subtends the arc that forms the chord in question.
If we started at point L, and counted the number of spaces to get to E while going clockwise, then we can see that there are 5 spaces
Those five spaces could be written as
The jump from L to AThe jump from A to BThe jump from B to CThe jump from C to DThe jump from D to EOr you could mark it as such on the diagram for a visual reference. Overall, the circle has been cut into 12 equal slices. So going from L to E, going clockwise, will have us take up 5/12 of the full circle.
There are 2pi radians in a full circle, meaning the central angle LME is (5/12)*2pi = 5pi/6 radians.
-----------------
Plug theta = 5pi/6 and c = 80 into the formula mentioned. Isolate the radius.
c = 2*r*sin(0.5*theta)
80 = 2*r*sin(0.5*5pi/6)
80 = 2*r*sin(5pi/12)
80 = 2*r*0.9659258
80 = 2*0.9659258*r
80 = 1.9318516r
1.9318516r = 80
r = 80/1.931 8516
r = 41.4110483
The radius is approximate. The radius is in feet. Make sure your calculator is in radian mode.
-----------------
Now that we know the radius, we can determine how long chord JF is.
The central angle for chord JF is angle JMF
If we start at J and go to F, along the shorter path, then we've gone 4 spaces. This is 4/12 = 1/3 of the full circle. So the radian measure of angle JMF is (1/3)*2pi = 2pi/3 radians.
So,
c = 2*r*sin(0.5*theta)
c = 2*41.4110483*sin(0.5*2pi/3)
c = 71.7260397
Chord JF is roughly 71.7260397 feet long.
When rounding to the nearest foot, that's about 72 feet.
2. Devon began basketball practice at 4:10pm. When he finished, the
clock said 5:50 pm. How long did he play basketball? *
O 1 hr. 20 mins.
1 hr. 30 mins.
O 1 .
1 hr. 40 mins
2 hr. 20 mins
Answer:
1 hour and 40 minutes
Step-by-Step
4:10 to 5:10 is 1 hour. 5:10 to 5:50 is 40 minutes. Put it together and its 1 hour and 40 minutes.
Find the value of x, Round to the nearest degree
Answer:
33
Step-by-step explanation:
what is the sq root of 66666647362617?
Answer:
8164964.62715
Step-by-step explanation:
please mark this answer as brainliest
Answer:
The correct Answer is 8164964.62715
Step-by-step explanation:
Since the number couldn't be multiplied by by another number by itself it will give a bunch of numbers, that would somewhat try.
Example: 36, Square root of 36 is 6, since 6 times 6 is 36. Easy!
PLS HELP I WILL MARK YOU BRAINLIEST!!!! The table represents some points on the graph of an exponential function.
Which function represents the same relations?
====================================================
Explanation:
When x = 0, we have y = 18. The y intercept value is 18. This is the initial value, and it's the value of 'a' in the equation below
y = a*b^x
The value of b is tied to the growth or decay rate, depending on if b > 1 or if 0 < b < 1 respectively.
In this case, we have growth due to y increasing as x increases. They increase together.
When x increases by 1 like this, the value of b can be determined by dividing any y term over its previous value. So for instance, we can say b = 21.6/18 = 1.2 or we could say b = 25.92/21.6 = 1.2
Then note how 1.2 = 6/5, which means b = 6/5
Therefore, y = a*b^x becomes y = 18(6/5)^x
--------------
We can confirm this equation by plugging in x values from the table and we should get the y values, or f(x) values, listed
Example: plug in x = 0 to find that
y = 18(6/5)^x
y = 18(6/5)^0
y = 18(1)
y = 18 which matches
Then try x = 1
y = 18(6/5)^x
y = 18(6/5)^1
y = 18(1.2)
y = 21.6 that also matches
I'll let you confirm the other x values.
considere the diagram below determine DHG
9514 1404 393
Answer:
A) ∠DHG = 96°
B) arc EF = 134°
Step-by-step explanation:
Part A:
As you have shown in your work, angle DHG is supplementary to given angle FHG:
∠DHG = 180° -∠FHG
∠DHG = 180° -84°
∠DHG = 96°
__
Part B:
∠DHG is half the sum of arcs EF and DG.
96° = (1/2)(arc EF + 58°) . . . . . fill in known values
192° -58° = arc EF . . . . . . . . . . multiply by 2, subtract 58°
arc EF = 134°
find the diameter of a circle with a circumference of 86.34 meters
9514 1404 393
Answer:
27.483 m
Step-by-step explanation:
The circumference of a circle is given by ...
C = πd
so the diameter is ...
d = C/π
d = (86.34 m)/(3.1416) ≈ 27.483 m . . . diameter
A cylinder has no lateral faces.
a. true
b. false
Answer: it’s a
Step-by-step explanation:
Patricia has 3 boxes of cards. Each box is 2 inches thick. The boxes are stacked on top of each other.
Answer:
6
Step-by-step explanation:
I NEED HELP ON THIS QUICKLY PLEASE
Answer:
C
Step-by-step explanation:
If you expand C you will find it to be true
She has $10.00 to spend. Apples cost $0.26 each and oranges cost $0.38 each. If Samantha can only buy apples, how many apples can she buy? If she can only buy oranges, how many oranges can she buy? Which would she get more of and how many more?
Answer:
she can buy 38 apples
Step-by-step explanation:
jennifer scored 75 on her quiz last week. this week she scored 90. what was the percent of increase on the quiz score?
Answer:
The answer is a 20% increase
Hope this helps!
Mark me brainliest if I'm right :)
just pls helpp
no links
Answer:
1120
Step-by-step explanation:
Answer:
46 in x 28 in = 1288 in^2
Step-by-step explanation:
First you would have to find the height and the width. Then you would have to times the height time width with the height is 28 in and the width is 48 in then you just have to multiply the witch you then turn out with 1288 and you just put the in^2 at the end so your answer is 1288 in^2.
Parker wants to ride his bicycle 34 miles this week. He has already ridden 10 miles. If he rides for 5 more days, write and solve an equation which can be used to determine xx, the average number of miles he would have to ride each day to meet his goal.
Equation:
Answer: xx =
Answer:
he rode 4.8 miles each day
A farmer has 500 m of fencing. He wants to construct
three adjoining rectangular fields that have the greatest possible area.
Determine the dimensions of the three fields.