Answer:
a) 2.66
b) 9
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].
part A: what is the standard deviation of the sampling distribution of x hat? show your work.
We have that [tex]\sigma = 8.4, n = 10[/tex]. So
[tex]s = \frac{\sigma}{\sqrt{n}} = \frac{8.4}{\sqrt{10}} = 2.66[/tex]
PartB: what does the sample size need to be if you want the standard deviation of the sampling distribution of x hat to be 2.8?
This is n when [tex]s = 2.8[/tex]. So
[tex]s = \frac{\sigma}{\sqrt{n}}[/tex]
[tex]2.8 = \frac{8.4}{\sqrt{n}}[/tex]
[tex]2.8\sqrt{n} = 8.4[/tex]
[tex]\sqrt{n} = \frac{8.4}{2.8}[/tex]
[tex]\sqrt{n} = 3[/tex]
[tex](\sqrt{n})^2 = 3^2[/tex]
[tex]n = 9[/tex]
Help me with my math**50 pts** i mark brainliest**
Answer:
3) Reflexive Property
4) SAS
Step-by-step explanation:
ST ≅ TS1. The Reflexive Property states that: a quantity is congruent (equal) to itself.
Example: a = a In this case, it could be seen as ST ≅ ST because they have/are the same side(s).RST ≅ UTS1. SAS theorem states that: two triangles are equal if two sides and the angle between those two sides are equal.
Example: RST ≅ UTS (both have S and T) Can be seen as RST ≅ UST as well to make their similarity more evident.2. Because it is given that RS ≅ UT and RT ≅ US, and it includes the same 2 lines being equal as given/said, RST ≅ UTS because of SAS (theorem).
for the graph below, find the y-intercept of the line. Write only the y-coordinate of the point
1. Sonny works as a furinture salesman and earns a base salary of $350 per week plus 6% commission on sales.
What was Sonny's weekly gross salary if his total sales were $3750?
how do you solve it?
Answer:
bghfjxbnej,bfjxhxbx bdldkd. xmmamexndnbejfgnxmwkkwn x zlwoekbffbxzyfbg bbxnckgkrkeijfcjjffjcjjfjfjxjbfbe elk kvijcjfnvcSolve 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 :)
HW HELP ASAP GRAPHS PLZ
Answer:
the answer is -4
Step-by-step explanation:
A Ferris vil can accommodate 55 people in 15 minute how many people could ride the Ferris ville in 2 hours what is the rate per hour
15 minutes is one quarter of an hour, so the number of people accommodated in an hour would be 4 x 55 = 220 people per hour
Simplify 3(2x +7x - 5 )
why are people so weird on this website
Answer:
I love algebra anyways
The ans is in the picture with the steps how i got it
(hope this helps can i plz have brainlist :D hehe)
Step-by-step explanation:
If you want to unload a low interest rate bond, you would have to sell your bond at a premium
True or false
Answer:
true
Step-by-step explanation:
marking brainliest!!
Answer:
A
Step-by-step explanation:
A is your answer because
the exponent is 2 for the two equations first u have to multiply your exponents and then you multiply your 4 and 3 from that u get your answer ,but answer is A
Hope this helps:)
Pls mark brainlist
Answer:
A) [tex]\sqrt{4^{2} +3^{2} }[/tex]
Step-by-step explanation:
One side is 4 cm, the other side of the triangle is 3 cm because you subtract 4 from the 7 length. To find hypotenuse, you do side 1 squared + side 2 squared.
Hope it helps!
Michelle's bird feeder holds 4/5 of a cup of birdseed. Michelle is filling the bird feeder with a scoop that holds 2/5 of a cup. How many scoops of birdseed will Michelle put into the feeder
Answer:
2
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
2/5 + 2/5 = 4/5
So after 2 scoops the feeder would be full
A manager found that 4 out of 36 parts manufactured in one day were defective.
Approximately, what percentage of the parts was NOT defective?
Answer: Percentage of not defective parts =88.88% which can be rounded up to 89%
Step-by-step explanation:
Total part manufactured= 36
defective parts = 4
Non defective parts = 36-4 = 32.
Percentage of not defective parts = Number of not defective parts / Total parts manufactured x 100
= 32/36 x 100= 88.88%
y<1/4x+1 y≥ 3x+2 identify one point that is a solution and identify any point that is NOT a solution
Answer:
(-1,-1) works (5,5) does not
Step-by-step explanation:
y<1/4x+1[tex]\geq[/tex]3x+2
-1<1/4(-1)+1[tex]\geq[/tex]3(-1)+2
-1<-1/4+1[tex]\geq[/tex]-3+2
-1<.75[tex]\geq[/tex]-1
what is the best equation?
Variable p is 2 more than variable d. Variable p is also 1 less than variable d.
Which pair of equations best models the relationship between p and d? (5 points)
A. p = d + 2
p = d − 1
B. p = d − 2
p = d + 1
C. d = 2p
d = 2p − 1
D. d = 2p
d = 2p + 1
Step-by-step explanation:
The correct answer is p= 2+d and p= d-1
Find the 9th term of the geometric sequence 8, 32, 128, ...
Answer:
524,288
Step-by-step explanation:
1. 8
2. 8 x 4 = 32
3. 32 x 4 = 128
4. 128 x 4 = 512
5. 512 x 4 = 2,048
6. 2,048 x 4 = 8,192
7. 8,192 x 4 = 32,768
8. 32,768 x 4 = 131,072
9. 131,072 x 4 = 524,288
Could you please show work :)
Answer:
x= 12/7
Step-by-step explanation:
3x+4x=12
Step 1: Simplify both sides of the equation.
3x+4x=12
(3x+4x)=12(Combine Like Terms)
7x=12
7x=12
Step 2: Divide both sides by 7.
7x 7 = 12 7 x= 12 7
12/7
Help please urgent sadly
Answer:
3x+6
Step-by-step explanation:
what is the longest straight line that can be drawn on a 8" by 10" piece of paper?
Answer:
10m
Step-by-step explanation:
length = 8m , breadth =6m
diagonal = 8square + 6square
= 64 + 36
= 100 square
=10m
Answer:
Step-by-step explanation:
[tex]\sqrt{8^2+10^2} =\sqrt{64+100} =\sqrt{164} =2\sqrt{41} \approx 12.81 "[/tex]
A set of cards contains cards numbered 1 – 8. Mrs. Jacob’s class is conducting an experiment in which a card is drawn from the pile, the number is recorded, and then the card is returned to the set. The class will conduct 1,000 trials. Based on the theoretical probability, which is the best prediction for the number of times a 4 will be drawn from the pile?
Answer: 125
The best prediction for the number of times a 4 will be drawn from the pile is:
A set of cards contains cards numbered 1 – 8.
So, the theoretical probability that 4 comes up is:
Ratio of Number of favorable outcome( outcome of 4) to the total umber outcome(i.e. 8 )
Hence, Theoretical Probability that 4 is drawn=1/8
Now, out of 1000 trials the best prediction of number of times 4 is drawn is:
(The probability of drawing 4)×(Number of experiments or trials)
=(1/8)×1000
=125
1. All of the variables below are directly proportional, write an equation linking them:
a. V= 12 when M =4
b. T= 5 when S=1
c. Y= 34 when x=2
d. H=48 when M=4
e. P= 5 when N=10
Answer:
a. V = 3M
b. T = 5S
c. Y = 17x
d. H = 12M
e. P = 0.5N
Step-by-step explanation:
a. V= 12 when M =4
12/4 = 3, so in this case, V is 3 times M, that is, V = 3M
b. T= 5 when S=1
5/1 = 5, so in this case, T is 5 times S, that is, T = 5S
c. Y= 34 when x=2
34/2 = 17, so in this case, Y is 17 times x, that is, Y = 17x
d. H=48 when M=4
48/4 = 12, so in this case, H is 12 times M, that is, H = 12M
e. P= 5 when N=10
5/10 = 1/2 = 0.5, so in this case, P is half of N, that is, P = 0.5N
) Describe two quick ways to find approximately 33% of 59 books.
b) Describe two quick ways to find approximately 25% of $98.50.
c) Describe two quick ways to find approximately 2% of 150 people.
2. How would one perform the EXACT calculations in #1? Describe the process IN WORDS1
3. Quick fractions to percentages:
a) 5 out of 25 is 20 %
b) 20 out of 80 is 25 %
c) 3 out of 298 is 1.01 %
d) 1 out of 1000 is 0.1 %
Answer:
Kindly check explanation
Step-by-step explanation:
33% is approximately 1/3 of a whole ; that is 1/3 of 100%
Hence, 59 / 3 = approximately 19
Approximately 20
Another way is to take 59 as 60, nearest 10, then divide by 3 to obtain ; (60 /3) = 20
To obtain 25% of 98.50
25% = 1/4th
Take value as 98 and divide by 4
Take value as 100 and divide by 4
2% of 150 people
2% = 1/50
Quick division of 150 into 50 places to obtain the approximate value.
To obtain the exact solution for the questions above :
Multiply 33% by 59
0.33 * 59 = 19.47
Multiply 25% by $98.50
0.25 * $98.50
$24.625
Multiply 2% by 150
0.02 * 150
= 3 people
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
Please help it’s due today!!!!!!
A traffic surveyor monitors traffic with a camera. She uses the camera as her 0 point. To represent a velocity going west she uses a negative number and to
represent east she uses positive numbers. If a cars has traveled 2.7 miles west in 3 minutes. What is the car's velocity?
Answer:
35
Step-by-step explanation:
because I took the test so I know that that's just right
What is the slope of the line that passes through the points (- 5, - 5) and (- 5, 5) ? Write your answer in simplest form .
Solve for y by using the inverse (opposite) operation.
−47y=−8
Answer:
y=14
Step-by-step explanation:
solve for y by simplifying both sides of the equation then insolating the variable
Mia said that 2 - 3a = 11 and 3a -2 +1 have the same solution. Is she correct? Explain.
The cost of a business to make a greeting cards can be divided into one-time cost (e.g.,a printing machine) and repeated cost (e.g.,ink and paper )suppose the total cost to make 500 cards is 1,100 and the total cost to make 650 cards is 1,400 what is the total cost to make 1,000 cards round your answer to the nearest dollar
ASAP !
Answer:
$ 2,200
Step-by-step explanation:
If it cost $1,100 to make 500 then double that and you get $2,200
Answer:
$2100
Step-by-step explanation:
After 500 cards, there is a discount.
(1100/500 = 2.2) So, $2.20 per card for the first 500 cards.
For every 150 cards after the initial 500, it costs $300, or $2.00 per card. (300/150 = 2)
If you want 1,000 cards, you are ordering 500 of them at $2.20 per card and the second 500 cards at $2.00 per card.
(500x2.2) + (500x2)= 2100
Eddie opens a bank account with $1,000. Every year he doubles the amount of money in the account.
Answer:
next year he'll add $2,000. to the bank account. the total amount would be $3,000.00
Step-by-step explanation:
$1,000.00 x 2 = $2,000.00 + $1,000.00 = $3,000.00
^w^
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
Haley's anole lizard has a tail that is 7.25 centimeters long. Caleb's anole lizard has a tail that is 6.17 centimeters long. An anole lizard's tail is half the length of the lizard. How much longer is Haley's lizard than Caleb's lizard? Show your work.
Answer: 2.16 centimeters
Step-by-step explanation: You would multiply the tail lengths by two, since the tail length is half of the lizards body.
7.25 x 2 = 14.5 and 6.17 x 2 = 12.34
Then you would subtract Haley's lizard's length from Caleb's lizard's length. 14.5 - 12.34 = 2.16
Good luck! :D
Haley's lizard is 2.16 centimeters longer than Caleb's lizard
What is the fundamental principle of multiplication?
Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
We would multiply the tail lengths by two, since the tail length is half of the lizards body.
Thus,
7.25 x 2 = 14.5
6.17 x 2 = 12.34
Then we would subtract Haley's lizard's length from Caleb's lizard's length.
14.5 - 12.34 = 2.16
Therefore, Haley's lizard is 2.16 centimeters longer than Caleb's lizard
Learn more about multiplications;
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