Answer:
The 95% confidence interval for the mean installation time is between 40.775 minutes and 43.225 minutes. This means that for all instalations, in different computers, we are 95% sure that the mean time for installation will be in this interval.
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].
So it is z with a pvalue of [tex]1-0.025 = 0.975[/tex], so [tex]z = 1.96[/tex]
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.
[tex]M = 1.96*\frac{5}{\sqrt{64}} = 1.225[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 42 - 1.225 = 40.775 minutes
The upper end of the interval is the sample mean added to M. So it is 42 + 1.225 = 43.225 minutes
The 95% confidence interval for the mean installation time is between 40.775 minutes and 43.225 minutes. This means that for all instalations, in different computers, we are 95% sure that the mean time for installation will be in this interval.
The 95% confidence interval for the mean installation time is (40.775, 43.225) and this can be determined by using the formula of margin of error.
Given :
Standard deviation is 5 minutes. Sample size is 64.Mean is 42 minutes.95% confidence interval.The following steps can be used in order to determine the 95% confidence interval for the mean installation time:
Step 1 - The formula of margin of error can be used in order to determine the 95% confidence interval.
[tex]M = z \times \dfrac{\sigma}{\sqrt{n} }[/tex]
where z is the z-score, [tex]\sigma[/tex] is the standard deviation, and the sample size is n.
Step 2 - Now, substitute the values of z, [tex]\sigma[/tex], and n in the above formula.
[tex]M = 1.96 \times \dfrac{5}{\sqrt{64} }[/tex]
[tex]M = 1.225[/tex]
Step 3 - So, the 95% confidence interval is given by (M - [tex]\mu[/tex], M + [tex]\mu[/tex]) that is (40.775, 43.225).
The 95% confidence interval for the mean installation time is (40.775, 43.225).
For more information, refer to the link given below:
https://brainly.com/question/6979326
Nevia spent $0.75 on 1.5 pounds of bananas. At this rate, how much will 6 pounds of bananas cost?
Show work.
correct answer is $3.
hope it helps u :)
In the triangle below, angle B measures 60° and BC is 18. What is the length of AC?
Right triangle A B C is shown. Side B C is the hypotenuse.
9 StartRoot 3 EndRoot
StartFraction 9 Over StartRoot 3 EndRoot EndFraction
9
StartFraction StartRoot 3 EndRoot Over 9 EndFraction
Answer:
The Answer is D StartFraction StartRoot 3 EndRoot Over 9 EndFraction
Step-by-step explanation:
Answer:
the answer is D
Step-by-step explanation:
Trust me edge 2022
there is a college student who wants to buy apples from the local store. the store generally sells about 5 apples for every 2 coustomers they serve. About how many apples will they sell in 6 hours if they serve 10 coustomers every hour?
What is the distance between points R and S, to the nearest tenth of a unit? A. 6.3 B. 7.2 C. 14.4 D. 20.0
Answer:
Distance of RS = 14.4 units (Approx)
Step-by-step explanation:
Co-ordinate
R (-8, -6)
S (4, 2)
Find:
Distance of RS
Computation:
Distance = √(x1 - x2)² + (y1 - y2)²
Distance of RS = √(-8 - 4)² + (-6 - 2)²
Distance of RS = √144 + 64
Distance of RS = √208
Distance of RS = 14.4 units (Approx)
Which of the following is not a correct statement about
the pie chart?
More students have hazel eyes than blue.
Most of the students in the class have brown eyes.
O More students in the class have blue eyes than
hazel.
The fewest number of students have gray eyes.
Hue
Brown
Sreen
Answer:
More students have hazel eyes than blue
If $360.00 is shared in the ratio 2:3. What is the smaller share?
Answer:
the smaller share is 144$
Step-by-step explanation:
2 + 3 = 5
360$ = 5x
x = 360/5
x = 72
the smaller share is 2 parts
2 * 72
144
area of a equalatiral triangle with 1 cm on each side
Answer:
side=a=1cm(let)
area of a equalatiral triangle=√3/4a²=√3/4×1²=√3/4cm²
14. What proportion of the world's people live in Africa? In Asia? In North America? In Latin America? In Europe? In Oceania? What are the projected proportions? Draw a bar chart showing the regional distributions of the world's population for this year, 2030 and 2050.
Incomplete question. However, I assumed you are referring to the information found in the 2016 World Population Data Sheet.
Explanation:
Proportions of the world's people who live in:
Africa: 16.2%Asia: North America: 4.8%Latin America: 8.5%Europe: 9.9%Oceania: 0.5%Since the report stated that as of 2016 the world's population stood at 7,418,000,000 (Seven billion, Four hundred and Eighteen Million), we simply find the ratio of each continent to the population. For example, Asia is said to be 4,437,000,000 (Four billion, Four hundred and thirty-seven million) , the ratio will be [tex]\frac{4,437,000,000 }{7,418,000,000 } *100=[/tex] 59.8% approximately.
What would this be??????
Answer:
I think it's the second one(200(1.034)t = 250)
Step-by-step explanation:
if not correct me. or try the third one.
PLEASE HELP i have to turn this at the end of the day! PLEASE DONT GUESS! :)
Answer:
x = 13, z = 184
Step-by-step explanation:
(14x-94) = 88
14x = 182
x = 13
z = 360 - 88*2 = 360 - 176 = 184
Answer:
x = 13; z = 92
Step-by-step explanation:
88 = 14x - 94
14x = 182
x = 13
180 = z + 88
z = 92
What’s the answers pls
Answer:
0.29
Step-by-step explanation:
Answer:
it's 0.29 because we move the decimal point 2 spaces to the left
Divide £16 in the ratio 3 : 1
Answer:
12 : 4
Step-by-step explanation:
3:1
3+1 = 4
16 / 4 = 4
3 x 4 =12
1 x 4 =4
12 : 4
Tyler's fish tank has 12 orange fish and 4 grey fish. What is the ratio of orange fish to grey fish
Answer:
12/4
simplified = 3
Step-by-step explanation:
Answer:
12:4 = 3:1
Step-by-step explanation:
You would divide the numbers by 4
Hope this helps
Find the solution of the system of equations.
-7x – 6y = -1
14x + 5y = 9
Answer:-7x-6y=-1 = - 7/6+1/6
Step-by-step explanation:
I need help with these twooo
Answer:
Question 5
We get n=42.15 and o=71.5
Question 6
We get e=15.32 and t=17.88
Step-by-step explanation:
Question 5
The triangles are similar.
So, the ratio of corresponding sides will be similar.
[tex]\frac{53}{n}=\frac{88}{70}=\frac{90}{o}[/tex]
First we will solve [tex]\frac{53}{n}=\frac{88}{70}[/tex] to find value of n.
Cross multiply
[tex]53*70=88*n\\n=\frac{3710}{88}\\n=42.15\\[/tex]
Now, we will solve [tex]\frac{88}{70}=\frac{90}{o}[/tex] to find value of o
[tex]88*o = 90*70\\o=\frac{6300}{88}\\o=71.5\\[/tex]
So, We get n=42.15 and o=71.5
Question 6
The triangles are similar.
So, the ratio of corresponding sides will be similar.
[tex]\frac{9.6}{e}=\frac{5.7}{9.1}=\frac{11.2}{t}[/tex]
First we will solve [tex]\frac{9.6}{e}=\frac{5.7}{9.1}[/tex] to find value of n.
Cross multiply
[tex]9.1*9.6=e*5.7\\e=\frac{87.36}{5.7}\\e=15.32\\[/tex]
Now, we will solve [tex]\frac{5.7}{9.1}=\frac{11.2}{t}[/tex] to find value of o
[tex]5.7*t = 11.2*9.1\\t=\frac{101.92}{5.7}\\t=17.88\\[/tex]
So, We get e=15.32 and t=17.88
It cost Isaiah $20.28 to send 156 text messages. What is the cost of sending text
messages, in dollars per text?
On the double number line below, fill in the given values, then use multiplication or
division to find the missing value.
dollars
text messages
Answer: $
per text Submit Answer
The cost y (in dollars) of a gym membership for x months is y=20x+25. Graph the equation.
Answer:
The graph of the equation y = 20x+25 is attached below.
Please check the attached graph.
Step-by-step explanation:
We know that the slope-intercept form of the line equation
[tex]y = mx+b[/tex]
where
m is the slopeb is the y-interceptIn our case, we are given that the cost y (in dollars) of a gym membership for x months is:
[tex]y=20x+25[/tex]
comparing with the slope-intercept form of the line equation
Here:
The slope of the equation is: m = 20
The y-intercept is: b = 25
The graph of the equation y = 20x+25 is also attached below.
From the graph, it is clear that the graph of the line crosses the y-axis at y = 25.
Thus, the point (0, 25) represents the y-intercept of the function.
Please check the attached graph.
Which ordered pair is on the graph of 7x - y = 2?
In the number 4,532,800 what place is the 5
Answer:
One-Hundred Thousand Place value
Step-by-step explanation:
Combine like terms-
37y + 18y
Answer:
I believe the answer is 55y
Step-by-step explanation:
Hope this helps! ^^
Answer:
55y
Step-by-step explanation:
37+18 = 55
Solve the problem by entering and solving an equation.
What is the temperature in degrees Fahrenheit of a freezer kept at -30°C?
What is the temperature in
degrees Fahrenheit.hat is the equation (___)= (___) (x- _) and what is the temperature in degrees Fahrenheit
Answer: -26.60
Step-by-step explanation:
Heres -30 degrees as faherenheit
Answer:
-22
Step-by-step explanation:
−30 =
5
9
(x − 32)
Solve the equation.
9
5
(−30) =
9
5
(
5
9
(x − 32)) Multiply both sides by
9
5
.
−54 = x − 32
+32 + 32 Add 32 to both sides.
−22 = x
The temperature is −22 degrees Fahrenheit.
Determine if each ratio is equivalent to 36:40 or not.
Answer:
There are no ratios, so I can't answer your question
Step-by-step explanation:
8-3 + 4 = 8 - 7 = 1
Do you agree with Dora?
Explain your answer.
which shape has 2 parallel sides /i ready question
Answer:
A Parallelogram
Step-by-step explanation:
Answer:
Parallelogram
Parallelogram: A quadrilateral with 2 pairs of parallel sides. Rectangle: A parallelogram with 4 right angles.
Step-by-step explanation:
Find the length of side x in simplest radical form with a rational denominator.
9514 1404 393
Answer:
(4√3)/3
Step-by-step explanation:
You know the ratio of side lengths is ...
x : 4 = 1 : √3
Then ...
x = 4/√3
Multiply by (√3)/(√3) to rationalize the denominator:
x = (4√3)/3
Can someone help me
Answer:
8x32 = 256
Step-by-step explanation:
Answer:
288
Step-by-step explanation:
2×2=4 4×2=8
2×2=4 4×2=8 8×2=16 16×2=36
36×8=288
Determine and factor out the GCF
1)3a+6b
2)h^3-4h^2
Answer:
1. 3(a+ 2b)
2. h^2(h-4)
Step-by-step explanation:
1. so you factor out the 3 because it’s the gcf of 3 and 6
2. h^2 is the gcf of h^3 and 4h^2
Find two integers whose sum is -9 and product is 14
Classify each angle in the diagram as an angle of elevation or an angle of depression *
angle of elevation: <1, <4 angle of depression: <2, <3
angle of elevation: <2, <3 angle of depression: <1, <4
angle of elevation: <1, <3 angle of depression: <2, <4
angle of elevation: <2, <4 angle of depression: <1, <3
Answer:
Angles of depression are <2 and <4.
Angles of elevation are <1 and <3
Step-by-step explanation:
An angle of depression is the angle below a line of sight while the angle of elevation is the angle above a line of sight.
Angles of depression are <2 and <4.
Angles of elevation are <1 and <3
28 decreased by 2.6%
Answer:
Please check the explanation.
Step-by-step explanation:
Given
28 decreased by 2.6%First we need to determine the percentage decrease such as:
Percentage decrease = 2.6% of 28
= 2.6/100 × 28
= 0.026 × 28
= 0.73
New value can be determined using the formula
New vaue = 28 - percentage decrease
= 28 - 0.73
= 27.27