Answer:
The 80% confidence interval for the mean repair cost for the washers is between $34.60 and $70.66.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 4 - 1 = 3
80% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 3 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.8}{2} = 0.9[/tex]. So we have T = 1.638
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 1.638\frac{22.01}{\sqrt{4}} = 18.03[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 52.63 - 18.03 = $34.60
The upper end of the interval is the sample mean added to M. So it is 52.63 + 18.03 = $70.66.
The 80% confidence interval for the mean repair cost for the washers is between $34.60 and $70.66.
GIVING OUT BRAINLIEST TO WHOEVER CAN PROVIDE THE CORRECT ANSWER !! Asap
Taylor had a bag of 28 marbles. 5 red, 9 blue, 8 yellow, and 6 black. If Taylor pulled out a yellow one and DID NOT put it back in. What is the probability of pulling out a blue marble (SIMPLIFY YOUR FRACTION). /
Answer:
The probability of pulling out a blue marble is 33.3%.
Step-by-step explanation:
Given that Taylor had a bag of 28 marbles, which were 5 red, 9 blue, 8 yellow, and 6 black, if Taylor pulled out a yellow one and did not put it back in, to determine what is the probability of pulling out to blue marble the following calculation must be carried out:
28 - 1 = 27
9/27 = X
0.333 = X
0.333 = 33.3%
Therefore, the probability of pulling out a blue marble is 33.3%.
1) you deposit $2,300 in a bank account. find the balance after 5 years for each of the following situations: is) the account pays 2.5% annual interest compounded monthly.
Answer:
Well, After 5 years No interest you'd still have only 2,300 dollars in the bank.
But 5 years with interest you'd have 5750$ in the bank.
Step-by-step explanation:
With no interest, their is nothing added to your bank account, if you don't take anything away from it either then you'd still have the exact same amount.
With 2.5% monthly interest you'd get 3250$ because...5years * 12 months = 60 months...60 months * 2.5% = 150%...2,300$ + 150% = 5750$.
The Smith family is building a deck that is 200 square feet in area. What are the
possible lengths and widths the deck could have?
Ten field hockey teams are competing in a tournament. Only the top three teams will be recognized as the first place, second place and third place winners. In how many ways could the ranking of the top three teams occur?
Answer:
The ranking of the top three teams could occur in 720 ways.
Step-by-step explanation:
The order in which the teams are ranked is important, that is, for example, Oilers, Flames and Canucks is a different outcome of Oilers, Canucks and Flames. This means that the permutations formula is used to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
In how many ways could the ranking of the top three teams occur?
Three teams from a set of 10. So
[tex]T = P_{(10,3)} = \frac{10!}{7!} = 720[/tex]
The ranking of the top three teams could occur in 720 ways.
Can someone please help me I am a no brain and very dum
Suppose 12% of students surveyed said they have tried riding a zip line.
a. How many would say they have tried riding a zip line if 100 students were surveyed.
A 12-pound bag weighs more than a 200-ounce bag. True or false
Answer:
false
Step-by-step explanation:
200oz= 12.5 pounds
Answer:
false
Step-by-step explanation:
12 pound=192 ounces
Using the graph, determine the coordinates of the vertex of the parabola.
Solve for x.
4x + 6
4x + 6
x = [?]
Answer:
21
Step-by-step explanation:
4x+6+4x+6=180
8x+12=180
8x=168
x=21
Answer:
X=21
Step-by-step explanation:
Well since its just a right angle you really gotta only solve for one since their their the same things.
4x+6=90
Solve the equation
x=21
Even if you do the two together with 180, same thing.
I NEED HELP CLICK HERE PLEASE
Answer:
A- II
B- I
C- III
D- IV
Step-by-step explanation:
Mia, Eli, and Doug are
comparing the sizes of
their movie collections.
Ell has twice as many
movies as Mia. Doug has
14 more movies than
Mia. Write an expression
to represent the total
movies the friends have.
Answer:
4m + 14
Step-by-step explanation:
m = # movies Mia has
2m = # movies Eli has
14 + m = # movies Doug has
Total: m + 2m + 14 + m = 4m + 14
Rule 1: Add 7 starting from 0. Rule 2: Multiply by 2 starting from 8. Select the option that correctly shows the first 5 terms of each sequence.
Question 5 options:
First sequence: 0, 6, 12, 18, 24 and second sequence: 0, 8, 16, 32, 64
First sequence: 0, 7, 14, 21, 28 and second sequence: 8, 16, 32, 64, 128
First sequence: 0, 7, 14, 21, 28 and second sequence: 8, 14, 28, 56, 112
First sequence: 14, 21, 28, 35, 42 and second sequence: 8, 16, 32, 64, 128
Answer:
First sequence: 0, 7, 14, 21, 28 and second sequence: 8, 16, 32, 64, 128
Answer:
First sequence: 0, 7, 14, 21, 28 and second sequence: 8, 16, 32, 64, 128
Step-by-step explanation:
A jewerler had a fixed amount of gold
Answer:
ohhhhh and who is the jeweler
Annual starting salaries for college graduates with degrees in business administration are generally expected to have a population standard deviation of $3,000. Assume that a 95% confidence interval estimate of the population mean annual starting salary is desired. How large a sample should be taken if the desired margin of error is (a) [1 pt] $500
Answer:
A sample of 139 should be taken.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
Population standard deviation of $3,000.
This means that [tex]\sigma = 3000[/tex]
How large a sample should be taken if the desired margin of error is $500?
A sample of n is needed.
n is found when M = 500. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]500 = 1.96\frac{3000}{\sqrt{n}}[/tex]
[tex]500\sqrt{n} = 1.96*3000[/tex]
Dividing both sides by 500
[tex]\sqrt{n} = 1.96*6[/tex]
[tex](\sqrt{n})^2 = (1.96*6)^2[/tex]
[tex]n = 138.3[/tex]
Rounding up:
A sample of 139 should be taken.
y = 4x + 8 when x = 3y
Answer:
-8/11
Step-by-step explanation:
what are you trying to isolate
If AB = 4x +20 and DC = 10x - 16 find x and AB
Answer: X=dc/10+8/5 X=AB/4 -5 hope it helps
Step-by-step explanation:
How many lines of symmetry does the figure below have?
Answer:
C
Step-by-step explanation:
there are 4 of the exact same line going in 4 directions
the area of a square room is 144square metres what is the perimeter of the room
Answer:
the answer is 48
Step-by-step explanation:
12×12=144
4×12=48
Manny buys hot dog buns for a cookout. he needs 30 buns and he buys bags of 8 buns. how many bags does manny need?
Answer:4
Step-by-step explanation:
30÷8=3.75
3.75=4
Manny need 4 bags.
Find the interquartile range of the data. 4,6,4,2,9,1,12,7
Answer:
5
Step-by-step explanation:
1.) Order the numbers from least to greatest (1,2,4,4,6,7,9,12) then find the HIGHEST and LOWEST #.
2.) Find the number in the very middle, which would be 4 and 6. Since it's not one number, add them both together and divide by 2 (4+6=10, 10/2=5). This will be your MEDIAN.
3.) Similar to step 2, find the number in the middle of the median and lowest number. Ignore the median in this. Since it's 2 numbers again, add both together and divide by 2 (2+4=6, 6/2 = 3, making the first interquartile 3).
4.) Repeat step 3, but instead of finding the number in the middle of the median and lowest number, use the highest number instead of the lowest. Since this also happens to be 2 numbers, repeat the same step of adding the numbers and then dividing by 2 (7+9=16, 16/2=8, making the second interquartile 8).
5.) Now, subtract both interquartiles. This should give you your answer (5).
Please help!!
Find the coordinates of the vertex of the following parabola algebraically. Write your
answer as an (x, y) point.
y = 4x + 56x + 192
Answer:
The vertex of the parabola = (-7 , -4)
Step-by-step explanation:
Step(i):-
Given that the parabola y = 4 x² + 56 x +192
y = 4 (x² + 14 x + 48 )
y = 4 ( x² + 2 × 7 (x) + 49-1)
y = 4 ( x² + 2 × 7 (x) + 49)- 4
we apply the formula
(a +b)² = a² + 2ab + b²
y = 4 ( x + 7 )² - 4
Step(ii):-
The general form of the parabola in algebraically
y = a ( x-h)² +k
The equation
y = 4 ( x + 7 )² - 4
y = 4 ( x-(-7))² - 4
The vertex of the parabola (h,k) = (-7 , -4)
Final answer:-
The vertex of the parabola = (-7 , -4)
Need help
1. 15% of what number is 6?
2. 25 is 10% of what number
3. 49 is 35% of what number
4. What is 310% of 65
Thanks
Answer:
1. 40
2. 40
3. 140
4. 210.5
I tried, hope this helps :)
PLS HELP WILL GIVE BRAINLIEST
Malcolm's net worth is $3,475. His liabilities are $7,650.
What is the total
value of his assets?
A.) 3,475
B.) 7,640
C.) 10,005
D.) 11,115
The solution is, D.) 11,115 is the total value of his assets.
What is addition?Addition is a way of combining things and counting them together as one large group. ... Addition in math is a process of combining two or more numbers.
here, we have,
given that,
Malcolm's net worth is $3,475.
His liabilities are $7,650.
now, we have,
the total value of his assets is:
we just have to add them.
$3,475 + $7,650
=11125
Hence, The solution is, D.) 11,115 is the total value of his assets.
To earn more on addition click:
brainly.com/question/29560851
#SPJ2
PLEASE HELP! WILL GIVE BRAINLIEST! After substituting, what is the first step when evaluating 4y+9 when y=82 O Add 4 and 9. O Multiply 8 by 4. O Divide 9 by 7 O Divide 4 by 7.
Answer:
The answer is c
Step-by-step explanation:
A ball is dropped from the top of a building that is 250 feet tall. The
height h of the ball in feet after t seconds is modeled by the function h =
- 16t2 + 250. How long will it take for the ball to reach a height of 75
feet? Round to the nearest tenth.
hi
-16t²+250 = 75
-16t² = 75 -250
-16t² = -175
t² = -175 /-16
t² = 175/16
Here there si two solutions : t = [tex]\sqrt{175/16}[/tex] and t = - [tex]\sqrt{175/16}[/tex]
However, as time cannot rewind, we will keep only positive solution
So t = [tex]\sqrt{175/16}[/tex]
in seconds it will be : 3.3 seconds
Find the a. Median b. Median c. Mode and d. Range of the following scores 60, 70, 90, 70, 80, 65, 95, 80, 100, 60
Answer:
median-75
mode-70
range-40
mean-77
Step-by-step explanation:
A mountain climber started at 150 feet below sea level. What would he need to climb to so that his starting spot and his ending spot were opposites?
Answer:
Your answer is 24.333.
Step-by-step explanation:
..If you round this, it would be 24 or 24.3. you get this answer by doing 3650 divided by 150.
2x1+0x2+3x3=3
4x1-3x2+7x3=5
8x1-9x2+15x3=10
solve the system using Gaussian or Gauss-Jordan elimination
[1] … … 2x₁ + 0x₂ + 3x₃ = 3
[2] … … 4x₁ - 3x₂ + 7x₃ = 5
[3] … … 8x₁ - 9x₂ + 15x₃ = 10
Since [1] is already free of x₂, you might as well start by eliminating x₂ from the other two equations. Add -3 times [2] to [3] :
-3 (4x₁ - 3x₂ + 7x₃) + (8x₁ - 9x₂ + 15x₃) = -3 (5) + 10
-12x₁ + 9x₂ - 21x₃ + 8x₁ - 9x₂ + 15x₃ = -15 + 10
-4x₁ - 6x₃ = -5
[4] … … 4x₁ + 6x₃ = 5
Now eliminate x₃ in [1] and [4]. Add -2 times [1] to [4] :
-2 (2x₁ + 3x₃) + (4x₁ + 6x₃) = -2 (3) + 5
-4x₁ - 6x₃ + 4x₁ + 6x₃ = -6 + 5
0 = -1
which is a contradiction. This means the system has no solution.
Devin measured his basketball rim. The radius of the rim is 6 inches. What is the circumference of the rim?
If I paid $2.50 in taxes on a $45 item, what percentage rate of taxes did I pay?
Answer:
47.05
Step-by-step explanation:
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