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.
A group of 15 people were surveyed about the month they were
born. How many of the students were born in March?
.
3/5 born in September
1/3 born in December
How is x = 5 mathematically different from x > 5?
Answer:
in x>5 x is larger than 5
Step-by-step explanation:
x=5 means x is equal to 5
x>5 means x is greater than 5
Answer:
X=5 means that the unknown variable in the equation is equal to the number 5, while x > 5 means that the unknown variable is larger then the number 5.
Step-by-step explanation:
Find the equation of circle passing through points (5 7) and (2 -2 ) whose center lies on the 2x-y=1
Answer:
(x-2)²+(y-3)²=5².
Step-by-step explanation:
1. the equation of line through points (5;7) and (2;-2) is:
[tex]\frac{x-5}{3} =\frac{y-7}{9}; \ => \ 3x-y-8=0.[/tex]
2. to find the equation of the line, which is perpendicular to the line 3x-y-8=0:
the vector (3;-1) is perpendicular to the line 3x-y-8=0 and it is the vector-pointer for the requred line, and if |n₁|*|n₂|=0 (where n₁ is normal vector to the line 3x-y-8=0 and n₂ is normal vector to the required line), then 3*x-1*y=0 (where 'x' and 'y' any numbers). x=1; y=3, then n₂(1;3), then the required line is x+3y+C=0, where C - is unknown number.
3. to find the equation of the line, which is perpendicular to the line 3x-y-8=0 and passes through the middle point of (5;7) and (2;-2):
middle point is (7/2;5/2), then after substitution of coordinates of the middle point into the equation x+3y+C=0 it will be 3.5+3*2.5+C=0, ⇒ C= -11.
the required equation is x+3y-11=0
4. to calculate the intersection point of x+3y-11=0 and 2x-y=1:
[tex]\left \{ {{2x-y=1} \atop {x+3y=11}} \right. \ => \ (2;3)[/tex]
the point (2;3) is the centre of the required circle.
5. to calculate the radius² of the required circle:
r²=(5-2)²+(7-3)² or r²=(2-2)²+(2+3)², then r²=5².
6. if the centre of the required circle is (2;3) and its r²=25, then it is possible to make up the equiation of the circle:
(x-2)²+(y-3)²=5².
I have to go to a few places but my friend needs help with this specific equation!
Thank you!
~Hocus Pocus
Answer:
Hello, this would be a vertical angle graph. Since this graph is a supplementary graph since it stretches about 180 degrees, you would take both 7x and x+20 and set it equal to 180 like this:
7x+x+20=180
Then, you combine the xs and you would get this:
8x+20=180
Then, subtract 20 from both sides like this:
8x=160
Lastly, you would divide 8 by both sides and get x which is:
x=20
Step-by-step explanation:
I hope this helped you!
Find 0% of 44:
Find 100% of 44:
Find 50% of 44:
Find 25% of 44:
Find 75% of 44:
Answer:
0% of 44=0
100% if 44=44
50% of 44=22
25% of 44=11
75% of 44=33
Please help me, I don't know how to solve it
Answer:
2a-3 and a+4
Step-by-step explanation:
Given the equation
2a²+8a -15 = 3a - 3
We are to find one of its factors
Equate the expression to zero
2a²+8a -15 = 3a - 3
2a²+8a -15 - 3a + 3 = 0
Collect the like terms
2a²+8a - 3a - 15 + 3= 0
2a²+5a - 12= 0
Factorize
2a²+8a-3a - 12= 0
2a(a+4)-3(a+4) = 0
(2a-3)(a+4) = 0
Hence the factors are 2a-3 and a+4
Coach Elyson claims that 90% of her volleyball serves are good serves. The captain of the team thinks Coach Elyson has a lower rate of good serves. To test this, 50 of the coach's serves are randomly selected and 41 of them are good. To determine if these data provide convincing evidence that the proportion of Coach Elyson's serves that are good is less than 90%, 100 trials of a simulation are conducted. The team captain's hypotheses are: H o: p = 90% and H a: p < 90%, where p = the true proportion of Coach Elyson's serves that are good. Based on the results of the simulation, what is an estimate of the P-value of the test?
Answer:
The correct answer is: 2%
Step-by-step explanation:
Took the quiz
NEED ASAP
The dot plots below show the scores for a group of students who took two rounds of a quiz: Two dot plots are shown one below the other. The title for the dot plot on the top is Round 1 and the title for the bottom plot is Round 2. Below the line for each dot plot is written Score. There are markings from 5 to 9 on the line at intervals of one. There are 2 dots above the mark 5, 3 dots above the mark 6, 4 dots above the mark 7, and 1 dot above the mark 8. For the bottom dot plot there are 6 dots above the mark 6, 2 dots above the mark 8, and 2 dots above the mark 9. Which of the following inferences can be made using the dot plot? The range of each round is the same. There is no overlap between the data. Round 1 scores were higher than round 2 scores. Round 2 scores were lower than round 1 scores.
Answer:
It D
Step-by-step explanation:
k
Answer:
d
Step-by-step explanation:
30 POINTS!!!!! I WILL GIVE BRAINLIEST!!!!!!
What is the measure of angle PQR?
Answer:
40
Step-by-step explanation:
It tells you what Q, R is for the opening. That means that it is 40
The measure of angle PQR is 70 degrees
We have a right triangle - r is 90 degrees
based on geometric rules: angle RPQ = 20
40 : 2
90 + 20 = 110
110 + x = 180
What is the perimeter of the triangle?
The perimeter of the triangle is 180 degrees
The triangle has 180 degrees.
This means that 180 - 110 =70 degrees.
The measure of angle PQR is 70 degrees.
Natalie is almost always on time for class. In fact, the probability that she is on time for a given class is 90%. If there are 50 classes during the semester, what is the best estimate of the number of times out of 50 that Natalie is on time to class?
Answer:
45 out of 50
Step-by-step explanation:
First, 90/100 x 50 which = 45.
You could also do 5 x 9 which equals 45.
Hope this helps!!
Find the volume of the sphere! Plsssss
Answer:
The first is the right answer
Step-by-step explanation:
V = ( 4/3)*π*(R^3) = (4/3)*3.14*(8^3) =2143.6
A tree grows at a rate of 1.2 centimeters per day. How many meters will it grow in 80 days?
Answer:
0.96meters
Step-by-step explanation:
1.2*80 = 96
96cm = 0.96meters
The dot plots show the time it takes to get to school for ten sixth graders
Answer:
Im confused it is not the full information for the question
Step-by-step explanation:
Answer:
it the Ine that you add 3+ 7+2 so it make 9 but it is 10 be cus it 6th so that make 60 so it Canada
Step-by-step explanation:
What’s the correct answer for this?
Answer:
the answer is the top choice
Can you help me?! I would really appreciate it
Answer:
(3 , 8)
Step-by-step explanation:
Answer:
(3,8)
Step-by-step explanation:
the pattern of an ordered pair is (x,y). If x=3, and y=8, then you would get (3,8).
What is the equation of the graph below?
y = sec(x) + 2
y = csc(x) + 2
y = csc(x + 2)
y = sec(x + 2)
Answer:
y = csc(x) + 2
Step-by-step explanation:
The equation for the given graph is y = csc(x) + 2
What is an equation of a graph?'In graph theory, Graph equations are equations in which the unknowns are graphs. One of the central questions of graph theory concerns the notion of isomorphism. The graphs are expressed differently in terms of graph equations.'
According to the given problem,
We know, periodicity of a.csc( bx + c ) + d = [tex]\frac{periodicity of cscx}{[b]}[/tex]
The periodicity of csc(x) is 2π,
⇒ [tex]\frac{2\pi }{1}[/tex]
= 2π
Hence, we can conclude, the equation y = csc(x) + 2 represents the given graph.
Learn more about equations of graphs here: https://brainly.com/question/24866278
#SPJ2
It takes Andre 4 minutes to swim five laps, if Andre swims 22 laps, at the same rate as she swam 5 laps, how long does it take him?
Answer:
17.6
Step-by-step explanation:
But im not sure if u can use decimals
Jesse has already daved $276 for a trip to Florida. This is 75% of his goal. How much money does he want to save?
Answer:
Total savings= $368
Step-by-step explanation:
Giving the following formula:
Jesse has already saved $276 for a trip to Florida. This is 75% of his goal.
To calculate the total amount to be saved, we need to use the following formula:
Total savings= amount saved / saving percentage
Total savings= 276 / 0.75
Total savings= $368
A family spends 1/10 of it's annual income for housing 1/4 for food and clothing 1/5 for general expenses and 2/15 for entertainment what fractional part of their income is spent on these items altogether.
Answer:
The family spends 41/60 of its income on these items altogether.
Step-by-step explanation:
Given that a family spends 1/10 of it's annual income for housing, 1/4 for food and clothing, 1/5 for general expenses and 2/15 for entertainment, to determine what fractional part of their income is spent on these items altogether the following calculation must be performed:
10, 4, 5, and 15 have a common least multiple at 60.
1/10 = 6/60
1/4 = 15/60
1/5 = 12/60
2/15 = 8/60
6 + 15 + 12 + 8 = 41
Therefore, the family spends 41/60 of its income on these items altogether.
Given m= <3,7> and n=<1,5> what is m+3n?
Answer:
i thought it was one number
Step-by-step explanation:
Data set: 47, 45, 44, 41, 48
1. Find the mean.
Mean = 47 + 45 + 44 + 41 + 48
5
= 225
5
= 45
2. Find each absolute deviation.
Absolute deviations: 2, 0, 1, 4, 3
What is the mean absolute deviation (MAD) for the data set?
Answer:
2
Step-by-step explanation:
Answer:
The answer is 2, i did the instruction on edge already.
Step-by-step explanation:
Please help very urgent
Answer:
it depends how many weeks look below
Step-by-step explanation:
1 week=$100.00
2 weeks=$115.00
3 weeks=$130.00
4 weeks=$145.00
and so on
pretty much every week you go up, she earns 15 bucks
hope this helps! have a good day :)
Sean earns $8.50 per hour and made a total of $80.75 today. How many hours did he work?
Answer: 9.5 hours
In order to solve this, you must divide his total (80.75) by his hourly wage (8.50) When you do that, you get 9.5, so he worked 9.5 hours
Step-by-step explanation:
Selena is a freelance graphic artist who charges $65 per hour for her services. A client paid her $195 for her last project. The equation below represents this situation.
65h = 195
For how many hours did Selena work on that project?
Answer: 3 hours
Step-by-step explanation:
195/65=3
Answer:
3
Step-by-step explanation:
$195 divided by $65 is 3 hours of work
9⁄12 ÷ 3⁄3 =
EXPLAIN pleaz:
Answer:
Resultado como fracción:
-9⁄36
Resultado como número:
-0,25
¿Cómo se calculó esto?
9
12 - 3
3 = 27 - 36
36 = -9⁄36
Step-by-step explanation:
Answer:
3/4
Step-by-step explanation:
9/12 × 3/3 = 0.75
0.75 = 3/4
9 × 3 = 27
12 × 3 = 36
27/36 = 0.75
0.75 = 3/4
Please hurry and help me
Answer:
The last option is your answer
Step-by-step explanation:
My cousin needs help with this question.
Answer:
3 feet per minute
Step-by-step explanation:
Look at an easy to read point on a grid line intersection.
Then find the slope. Slope = constant of proportionality.
For example, look at point (2, 6) which means that when time = 2 minutes, distance = 6 feet.
(6 ft)/(2 sec) = 3 feet per minute
Answer: 3 feet per minute
Please no links I’ll be picking brainiest
Answer:
y=6x-2.5
Step-by-step explanation:
It goes up by $6and if it is zero miles it is -2.5.
Find the arc length of the the patial circle. Either enter an axact answer of pi or use 3.14 for pi and enter your answer as a decimal.
The National Assessment of Educational Progress (NAEP) includes a "long-term trend" study that tracks reading and mathematics skills over time, and obtains demographic information. In the 2012 study, a random sample of 9000 17-year-old students was selected.24 The NAEP sample used a multistage design, but the overall effect is quite similar to an SRS of 17-year-olds who are still in school. In the sample, 51% of students had at least one parent who was a college graduate. Estimate, with 99% confidence, the proportion of all 17-year-old students in 2012 who had at least one parent graduate from college.
Answer:
The 99% confidence interval estimate for the proportion of all 17-year-old students in 2012 who had at least one parent graduate from college is (0.4964, 0.5236).
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].
Sample of 9000, 51% of students had at least one parent who was a college graduate.
This means that [tex]n = 9000, \pi = 0.51[/tex]
99% confidence level
So [tex]\alpha = 0.01[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.51 - 2.575\sqrt{\frac{0.51*0.49}{9000}} = 0.4964[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.51 + 2.575\sqrt{\frac{0.51*0.49}{9000}} = 0.5236[/tex]
The 99% confidence interval estimate for the proportion of all 17-year-old students in 2012 who had at least one parent graduate from college is (0.4964, 0.5236).