Answer:
The CLT says that the distribution is approximately normal, with mean of 17 credits and standard deviation of 0.3571 credits.
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.
Assume that the population mean is 17 credits and the populations standard deviation is 2.5 credits.
This means that [tex]\mu = 17, \sigma = 2.5[/tex]
What does the CLT say about the distribution of the sample mean of 49 students?
It is approximately normal.
The mean is 17.
Due to the sample of 49, n = 49, and the standard deviation is [tex]s = \frac{2.5}{\sqrt{49}} = 0.3571[/tex]
The CLT says that the distribution is approximately normal, with mean of 17 credits and standard deviation of 0.3571 credits.
Find the area of the figure.
PLS I NEED HELP FAST!
55 ft
base + base2 / 2 x h
PLZZ NO LINK IF U GET IT RIGHT I WILL GIVE U A BRIANLY
Answer:
B) f = (6 x 8) + 4
Step-by-step explanation:
Remember this: 1 cup = 8 fl oz
They're asking for the total number of fluid ounces of detergent, and we're given 6 cups and 4 fl oz.
Set up a proportion to find the total number of fl oz from the 6 cups, let variable x be the total oz of the 6 cups:
[tex]\frac{1 cup}{8 oz} = \frac{6 cups}{x oz}[/tex]
The answer should be 48 fl oz, then you add the 4 fl oz to have the total of 52 fl oz.
SORRY just wanted a full break down of the problem solved. I made it too complex than it's supposed to be. Hope my answer helps a bit. :)
Solve: 3,125 = 5–10 + 3x x =
Answer:
5
Step-by-step explanation:
Answer:
The answers is 3 for Evaluate using the given value
The answers is 3,125=-5+3x for simplify the Matrix
Step-by-step explanation:
Please tell me if those ways are correct
And how did you want me to solve it
Could I get help/an explanation on this problem? Thanks
Answer:
HEY BABE
Step-by-step explanation:
Giving brainliest!!!!!!
Answer:
The volume of the composite figure is approximately 434.041 cubic centimeters.
Step-by-step explanation:
The volume of the composite figure ([tex]V[/tex]), in cubic centimeters, is the sum of the volumes of the cuboid ([tex]V_{c}[/tex]), in cubic centimeters, and hemisphere ([tex]V_{h}[/tex]), in cubic centimeters, that is:
[tex]V = V_{c} + V_{h}[/tex] (1)
[tex]V = w\cdot h \cdot l + \frac{2\pi}{3}\cdot R^{3}[/tex] (2)
Where:
[tex]w[/tex] - Width, in centimeters.
[tex]h[/tex] - Height, in centimeters.
[tex]l[/tex] - Length, in centimeters.
[tex]R[/tex] - Radius, in centimeters.
If we know that [tex]w = 10\,cm[/tex], [tex]h = 6\,cm[/tex], [tex]l = 5\,cm[/tex] and [tex]R = 4\,cm[/tex], then the volume of the composite figure is:
[tex]V = w\cdot h \cdot l + \frac{2\pi}{3}\cdot R^{3}[/tex]
[tex]V = (10\,cm)\cdot (6\,cm)\cdot (5\,cm) + \frac{2\pi}{3}\cdot (4\,cm)^{3}[/tex]
[tex]V \approx 434.041\,cm^{3}[/tex]
The volume of the composite figure is approximately 434.041 cubic centimeters.
Jackie collects data from two different companies. Each company had four employees. The data is
listed in the tables below.
Company A
Worker's Age in Salary in
Years
Dollars
24
28,000
26
30,000
27
31,000
32
36,000
Company B
Worker's Age in Salary in
Years
Dollars
25
29,000
28
33,000
29
36,000
31
51,000
Which of the following statements is true? Select all that apply.
Answer:
B, C, E
Step-by-step explanation:
a-ca 30,500<31,000 cb
b-ca 31.24 cb 37.35
c-ca 8 cb 22
d-ca 27.25 cb 28.25
e-ca 51.000
Answer:
The picture has the answer :)
Step-by-step explanation:
look at picture
Identify the correct statement for the given figure.
Question 14 options:
A)
(5x)° + (2x + 7)° = 90°
B)
90° + (2x + 7)° = (5x)°
C)
(5x)° + (2x + 7)° = 180°
D)
(5x)° = (2x + 7)°
Matthew bought 3 pounds of cheese. He sliced the cheese into 8 equal sized pieces. How much does each piece of cheese weigh A. 6 oz B 12 oz C. 24 oz D. 48 oz
Answer:
6
Step-by-step explanation:
There are 48 oz in 3 pounds, or 16 oz in a pound. Now divide the oz by the equal sizes
48/8=6
What is the solution to the equation below? Round your answer to two
decimal places.
ex = 0.6
O A. x= -0.51
B. x = 1.82
C. X = -0.22
D. x= 3.98
SUBMIT
Answer:
A._____________________
The value of x is -0.22.
What is Logarithm?The power to which a number must be increased in order to obtain another number is known as a logarithm.
How many times must one "base" number be multiplied by itself in order to generate another specific number? The answer is found using a logarithm (or log).
Given:
[tex]e^x[/tex] = 0.6
Now, taking log on both side
x log e= log 0.6
x= -0.22184874961
Hence, the value of x is -0.22.
Learn more about logarithm here:
https://brainly.com/question/28346542
#SPJ2
Find the area of the shaded region. XTRA POINTS!!!! PLUS BRAILIEST!!!!!!
NO LINKS OR WEBSITES!!!!! YOU WILL GET REPORTED!!!!!
Answer:
[tex]192.5ft^{2}[/tex]
Step-by-step explanation:
[tex]Area=\frac{260}{369} \pi (8.35^{2} )+\frac{1}{2} (8.35^{2})sin[/tex]
[tex]=158.195+34.3316[/tex]
[tex]=192.5[/tex]
[tex]------------[/tex]
hope it helps..
have a great day!!!
Review the graph of f(x).
On a coordinate plane, a curve approaches y = 2 in quadrant 2 and curves down and approaches x = negative 1 in quadrant 3. Another curve approaches x = negative 1 in quadrant 2, curves down through (0, 5), and approaches y = 2 in quadrant 1.
Which statement relates limits to an asymptote of the function?
The graph shows Limit of f (x) as x approaches plus-or-minus infinity = 2 so the function has a vertical asymptote at x = 2.
The graph shows Limit of f (x) as x approaches plus-or-minus infinity = negative 1 so the function has a vertical asymptote at x = –1.
The graph shows Limit of f (x) as x approaches plus-or-minus infinity = 2 so the function has a horizontal asymptote at y = 2.
The graph shows Limit of f (x) as x approaches plus-or-minus infinity = negative 1 so the function has a horizontal asymptote at y = –1.
Answer: C
Step-by-step explanation:
What does a equal in the picture below?
Answer:
28
Step-by-step explanation:
28-10 Your welcome Have a good day
A quality-conscious disk manufacturer wishes to know the fraction of disks his company makes which are defective. Step 2 of 2 : Suppose a sample of 1067 floppy disks is drawn. Of these disks, 74 were defective. Using the data, construct the 80% confidence interval for the population proportion of disks which are defective. Round your answers to three decimal places.
Answer:
The 80% confidence interval for the population proportion of disks which are defective is (0.059, 0.079).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
Suppose a sample of 1067 floppy disks is drawn. Of these disks, 74 were defective.
This means that [tex]n = 1067, \pi = \frac{74}{1067} = 0.069[/tex]
80% confidence level
So [tex]\alpha = 0.2[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.2}{2} = 0.9[/tex], so [tex]Z = 1.28[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.069 - 1.28\sqrt{\frac{0.069*0.931}{1067}} = 0.059[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.069 + 1.28\sqrt{\frac{0.069*0.931}{1067}} = 0.079[/tex]
The 80% confidence interval for the population proportion of disks which are defective is (0.059, 0.079).
In the accompanying diagram of circle O, chords AB and CD intersect at E and
AC:CB:BD:DÀ= 4:2:6:8
What is the measure of AC, BD, and DEB?
Answer:
m(arc AC) = 72°
m(arc BD) = 108°
m∠DEB = 90°
Step-by-step explanation:
Ratio of the measure of arc AC, arc BC, arc BD and arc AD = 4 : 2 : 6 : 8
Since, m(arc AC) + m(arc CB) + m(arc BD) + m(arc AD) = 360°
By the property of ratio,
Measure of arc AC = [tex]\frac{4}{4+2+6+8}\times (360^0)[/tex]
= [tex]\frac{4\times 360}{20}[/tex]
= 72°
Measure of arc BD = [tex]\frac{6}{4+2+6+8}\times (360^0)[/tex]
= [tex]\frac{6\times 360}{20}[/tex]
= 108°
Measure of ∠DEB = [tex]\frac{1}{2}m(arcAC + arc BD)[/tex]
= [tex]\frac{1}{2}(72+108)[/tex]
= 90°
PLEASE HELP!! 100 POINTS Will mark brainliest.
Answer:
m∠1 = mCD = 40°m∠2 = 1/2(mAB) = 1/2*30° = 15°m∠3 = 1/2(mED) = 1/2*50° = 25°m∠4 = 1/2(mAB + mDE) = 1/2(30°+50°) = 40°m∠6 = m∠OEG - m∠DEG = 90° - 1/2(mDE) = 90° - 25° = 65°m∠7 = 1/2(mCD + mDE) = 1/2(40°+50°) = 45°m∠8 = 1/2(mCD + mDE - mAB) = 1/2(40° + 50° - 30°) = 30°m∠10 = 1/2mAE = 1/2(180° - mDE) = 1/2(180° - 50°) = 65°Answer:
hope this help you. look it once.
Please help me out with this!
Answer:
73.3
Step-by-step explanation:
cos(39)= 57/x
x= 57/cos(39)
x=73.3
22x^5+20x greatest common factor
Answer:
2x
Step-by-step explanation:
2x(11x^4 + 10)
What are the coordinates of point A I will mark brainliest
Answer:
the answer would be A: -1 1/4, 3/4
What is 3,000,000 + 800,000 + 20,000 + 6,000 + 600 + 70 + 9 in standard form?
Answer:
3,826,679
Step-by-step explanation:
Answer:3,826,679
Step-by-step explanation:
Is this a polygon
Yes or no
No its not a polygon.
It has a curve where as a polygon is a plane figure with at least three straight sides and angles
Thanks for the help xoxoate!
what is the difference between Whole numbers and Natural numbers
Answer:
Whole no includes positive as well as negative integer but Natural numbers includes positive integer .
A sound wave with amplitude xo is measured by an observer to have an intensity of I0 when the observer is standing 4.0 meters from the source. Which best describes the amplitude of a sound wave and distance from the source where it will be measured with an intensity of 16Io?
Answer:
C) Increase the amplitude to 2xo and stand 2 meters from the source.
Step-by-step explanation:
Correct on Edge
Alisa has $6.27. She has to give that value to a florist using only coins. How would she do it, using the least number of coins.
Plz need helppp Quick !!!!!!!
Step-by-step explanation:
A. 1 cup of blue rate for 3/5 cup of red paint
B. 1 cup of flour for 2.5 muffins
C. r = d/t = 420 miles/7 hours = 60 miles per hour.
D. 48/3 = $16 for every hour
E. $15/6 = $2.5 for every hot dog
what is:
k/3 + 17 = 12?
Answer:
-15
Step-by-step explanation:
yan po ang answer thank you na lang po
Subtract -21 from 30
Answer:
-9
Step-by-step explanation:
yu subtract 21 from 30 and and just add a negative before the answer
Convert 23 days to weeks and days?
Answer:
3 weeks and 2 days
Step-by-step explanation:
> Less
All changes saved
12. A brand-new music service is offering specials on individual song downloads. The cost is $0.74 for each
song up to 20 songs per month, and the cost doubles to $1.48 per download for any number of downloads
over 20. How much would it cost to download 28 songs?
> Less
> Less
Answer:
Downloading 28 songs will cost $26.64.
Step-by-step explanation:
Given that a brand-new music service is offering specials on individual song downloads, and the cost is $ 0.74 for each song up to 20 songs per month, and the cost doubles to $ 1.48 per download for any number of downloads over 20, to determine how much would it cost to download 28 songs the following calculation should be performed:
(20 x 0.74) + (8 x 1.48) = X
14.8 + 11.84 = X
26.64 = X
Therefore, downloading 28 songs will cost $ 26.64.
How long it will take 2000$ to double if it is invested at 6% interest compounded semi annually
Answer:
Number of year = 11.725 year (Approx.)
Step-by-step explanation:
Given:
Amount invested = $200
Interest rate = 6% (compounded semi annually)
Future value = 2 x Amount invested
Find:
Number of year
Commutation:
Future value = 2 x Amount invested
Future value = 2 x 200
Future value = $400
Number of year (Semi-annual) = 2n
Interest rate (Semi-annual) = 6% / 2 = 3%
So.
A = P[1+r]ⁿ
400 = 200[1+3%]²ⁿ
2 = [1.03]²ⁿ
n = 11.725 year
Number of year = 11.725 year (Approx.)
What is the value of d/dx sin (2x-Pi/3) at x= Pi
Answer:
1/2 at x=pi
Step-by-step explanation:
d/dx sin(x) = cos(x)
Therefore:
d/dx sin(2pi-pi/3) = cos(5pi/3) = 1/2