Answer:
Convert the mixed numbers to improper fractions, then find the LCD and combine.
Exact Form:
58 /15
Decimal Form:
3.8 6
Mixed Number Form:
3 13 /15
Step-by-step explanation:
the amount people pay for cable service varies quite a bit but the mean monthly fee is $142 and the standard deviation is $29. the distribution is not normal many people pay about $76 for basic cable and about $160 for premium service but some pay much more. a sample survey is designed to ask a simple random sample of 1,500 cable service customers how much they pay. let x hat be the mean amount paid.
Part a: what are the mean an standard deviation of the sample distribution of x hat show your work and justify your reasoning.
Part b: what is the shape of the sampling distribution of x hat justify your answer.
Part C: what is the probability that the average cable service paid by the sample of cable service customers will exceed $143? show your work.
Answer:
a) By the Central Limit Theorem, the mean is $142 and the standard deviation is $0.7488.
b) By the Central Limit Theorem, approximately normal.
c) 0.0901 = 9.01% probability that the average cable service paid by the sample of cable service customers will exceed $143
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal probability distribution
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
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.
The mean monthly fee is $142 and the standard deviation is $29.
This means that [tex]\mu = 142, \sigma = 29[/tex]
Part a: what are the mean an standard deviation of the sample distribution of x hat show your work and justify your reasoning.
Sample of 1500(larger than 30).
By the Central Limit Theorem
The mean is $142
The standard deviation is [tex]s = \frac{29}{\sqrt{1500}} = 0.7488[/tex]
Part b: what is the shape of the sampling distribution of x hat justify your answer.
By the Central Limit Theorem, approximately normal.
Part C: what is the probability that the average cable service paid by the sample of cable service customers will exceed $143?
This is 1 subtracted by the pvalue of Z when X = 143. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{143 - 142}{0.7488}[/tex]
[tex]Z = 1.34[/tex]
[tex]Z = 1.34[/tex] has a pvalue of 0.9099
1 - 0.9099 = 0.0901
0.0901 = 9.01% probability that the average cable service paid by the sample of cable service customers will exceed $143
Can y’all help me on question 20?!
Answer:
372 miles
Step-by-step explanation:
brainliest please
what is cubed root of 27
Answer:
3 aaaaaaaaaaaaaaaaaa
Step-by-step explanation:
Find the distance between the two points rounding to the nearest tenth (8,−9) and (2,−7)
Answer:
negative 7 is first then comes 2. negative 9 is first then comes 8.
Step-by-step explanation:
Answer:
6.3
Step-by-step explanation:
Complete the table of values.
X
-1
NIW
0
d
e
4
f
d =
e =
f=
Answer:
Step-by-step explanation:
d=4
e=2
f=6
Find five ordered-pair solutions to the linear equation 2x+y=6
Answer: (-2,10)(0,6)(3,0)(8,-10)(10,-14)
Step-by-step explanation:
Answer:
(0,6)
(1,8)
(2,10)
(3,12)
(4,14)
(5,16)
Step-by-step explanation:
first you have to put it in y=mx+b form y=2x+6
next put in your calculator
Ruic drinks 1/4 of a 16oz glass of water in 1/3 of an hour. How much water would he drink in one hour if he continued at the same rate?
Answer:
He would drink 12 oz of water or 3/4 of a 16 oz glass of water
Step-by-step explanation:
1/4 of 16 oz is 4fl oz
you drink 4 oz every 1/3 of an hour
4 x 3= 12
On a bicycle, Eddie can travel 20 miles in 4 hours. How many hours does it take Eddie to travel 1 mile?
Answer:
1 mile = 0.2 hours
Step-by-step explanation:
Given that,
Eddie can travel 20 miles in 4 hours.
We need to find how many hours does it take Eddie to travel 1 mile.
20 mile = 4 hours
1 mile = (4/20) hours
= 0.2 hours
So, to travel 1 mile will take 0.2 hours.
2. A number decreased by eight is five
A CAB
BO-85
C-805
D-5
Complete Question:
A number decreased by eight is five.
Group of answer choices.
A. C + 8 = 5
C. -8c = 5
B. C - 8 = 5
D. S = 5
Answer:
B. C - 8 = 5
Step-by-step explanation:
Let the unknown number be C.
Translating the word problem into an algebraic equation, we have:
C - 8 = 5
Simplifying further, we find that;
C = 5 + 8
C = 13
Therefore, the unknown number is 13.
One year ago, Lindsey deposited $250 into a savings
account. Her balance
deposited $250 into
now $253, Two years ago, Jenn
savings account Her balance is
now $257.50. Which account has the greater simple
interest rate? Explain,
Answer:
Jenns account has the greater simple interest rate.
Step-by-step explanation:
The formula for simple interest is:
A = P * ( 1 + r * t )
Where A is the final amount after investment, P is the initial amount, r is the rate of interest and t is the time periods.
For Lindsey:
253 = 250 * ( 1 + r * t )
Solve for r
r = ( 253/250 ) - 1 = 0.012
Lindsey simple interest was 1.2% annually
For Jenn:
257.50 = 250 * ( 1 + r * 2 )
r = ( 257.50/250 ) - 1 )/2 = 0.015
Jenn simple interest was 1.5% annually
Therefore Jenns account has the highest simple interest rate.
Answer:
Lindsay’s interest is $3 for one year. Using the formula for interest, I = prt, Lindsey’s money is earning at a rate of 1.2%. Jenn has earned $3.75 for one year. Her money is earning at a rate of 1.5%, which is a higher interest rate.
Step-by-step explanation:
Sample response :)
Solve the following inequality: -7d + 8 > 29
Answer:
d<-3
Step-by-step explanation:
-7d + 8 > 29
subtract 8 from each side
-7d>21
multiply both side by -1 and reverse the inequality sign
7d<-21
divide both sides by 7
d<-3
hope this helps :)
What is 48.6% of 19?
Please
You must have a common denominator when _______ fractions. Choose all that apply.
A) Subtracting
B) Multiplying
C) Adding
D) Dividing
Answer:
Adding and subtracting!!!
Step-by-step explanation:
i took math lol
PS plzz tell me if u got it right!!!
Answer:
Dividing, subtracting, adding
Step-by-step explanation:
the reason you can only multiply without a common denominator is that the multiplication process does it for you, normally, the quickest way to find an easy common denominator is to multiply the two, then simplify at the end.
Hopefully this helped!
Dan and Becca have cups that are the same size. Dans cup is 1/4 full of water. Beccas cup is 1/6 full of water. Compare the amount of water in each cup using <,>, or =.
I-Ready™
Answer:
>
Step-by-step explanation:
1/4 is greater than 1/6.
PLEASE HELP
3 dozens = _______ units
Answer:
36 unit
Step-by-step explanation:
1 dozen= 12 units
3 dozen = 12 × 3 = 36 units
what is the volume of a sphere with a radius of 16 cm use 3.14
Answer:
volume is 17157.28 :)
Step-by-step explanation:
I need help quick this is hard
12inches including the history bonus make sure to include the politics
10. What is the slope-intercept form of y + 6 = 2(x + 2)?
Answer:
y=2x-2
Step-by-step explanation:
Please answer these 2 word problems for BRAINLIEST AND IF CORRECT I WILL GIVE EXTRA POINTS
Answer:
150
Step-by-step explanation:
What is 1/3 as a decimal? Give your answer rounded to 2 decimal places.
Answer:
Answer vary:
1/3 into a decimal = 0.3
Step-by-step explanation:
honestly in my opinion that my answer.
all you do to find it out is divide 1 to 3, so it’s pretty simple. and the dash between 1 and 3 in fractions means divide so yea that’s all you need to do.
Sixty is a composite number. Use division by primes to find the prime of 60.
Answer:
Here your ansStep-by-step explanation:
Prime factorization of 60 2×2×3×5=60The actual prime factors of 60 are 2,3,5Hope it's helpfullyAnswer:
60 is composite
2,3,5 are prime
Step-by-step explanation:
Andre is planting saplings (baby trees). It takes him 30 minutes to plant 3 saplings. If each sapling takes the same amount of time to plant, how long will it take Andre to plant 14 saplings? If you get stuck, consider using the table.
Answer:
140 minutes
Step-by-step explanation:
If it takes him 30 mins to plant three, then 30 divided into three equal groups is 10. Then we multiply 14 and 10 together since it takes Andre ten minutes to plant each sapling. This means that the 14 saplings takes ten minutes EACH to plant.
Answer: 140
Step-by-step explanation:
i got it right
Evaluate 2/3x -16 when x= 18
A.-6
B.-4
C.2
D.4
Answer: the answer is -4
Step-by-step explanation:
kate buys 10 ticket to show. She also pays a 5$ parking fee. she spent $35 to see the show. What equation is this
Answer:
35 = 5 + 10x
Step-by-step explanation:
x = the ticket price.
Each ticket was $3
hope this helps :)
(35 - 5)/10 = 3 because She paid 35 all together + 5$ was for parking, we can subtract that. Then 30/10 is equal to 3 so she spent 3 dollars for each ticket
Please help me someone
Answer:
A
Step-by-step explanation:
PV(1+i)^n
2000(1+.015)^x
2000(1.015)^x
A
Turn this into a formula and step by step on how to solve it.
Answer:
1080
Step-by-step explanation:
if you are trying to find the volume the formula is
width x length x height
if you plug in 6x15x12 you get 1080 so the volume of the figure is 1080
(I will mark brainliest) Use this equation to solve for the missing variable:
y = 8x + 12
If x = -6, y = _____
If y = 13, x = _____
Answer: x would be 1/8 and y would be -36
Step-by-step explanation:
To find put y you would plug in -6 for x. So it would be y=8(-6)+12. Then you multiply the 8 and -6 to get -48, y=-48+12. Then subtract 48 from 12 and that is -36 so y=-36. To solve for x you would plug in the y or 13 into the equation. So, 13=8x+12. Then you would have to solve. 12 minus 13 is 1 and the you are left with 1=8x then you divide 1/8 and 8x/8 and you get x=1/8. Hope this helped!
Please need help with one
Write an equation for the line having a slope of -1/3 and y-intercept is 5
Answer:
y= -1/3x +5
Step-by-step explanation:
Using the equation y=mx+b
you know m (slope), which is -1/3
you also know your b which is 5
You get y= -1/3x+5
Please this is due in 1 hr and 11 minutes...
Please don’t answer this with one answer, blank or ridiculous answer this is serious....
Answer:
Angle R is congruent to angle Y; line ZX is congruent to line SQ
Step-by-step explanation:
Order matters when listing sides and angles, as in the question.
R is second listed angle, and so is Y.
Line ZX is first and third listed, so congruent side is line SQ