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
What is 2y+4x =10 in y=mx+b
Answer:
The answer should be y = -2x + 5
Step-by-step explanation:
Subtract 4x to move it to the other side.
(2y = -4x + 10)
Then you divide both sides by 2 to get y by itself.
A scientist digs near an ancient city.
She finds a cup buried at -7 feet. She finds a plate buried at -4 feet.
Use absolute value to show which was buried farther from the surface.
A. The cup is farther from the surface, because |-7 is less than 1-4).
B. The cup is farther from the surface, because |-71 is greater than |-
4.
C. The plate is farther from the surface, because (-71 is greater than
1-41.
D. The plate is farther from the surface, because -7 is greater than -
4.
My
Answer:
c
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Brian goes to school 6 hours per day, and sleeps for 9 hours per day. What is the ratio of hours Brian works to hours Brian sleeps?
Answer:
6:4:9 Yw❤️
Step-by-step explanation:
YOU HAD YOUR WORD TASTUMI YOU HAD YOUR WORD!2
Answer:
yes :(
Step-by-step explanation:
Find the Value of x in each figure.
[REFER TO ATTACHED PICTURE]
Answer:
First pic) x = 10
Second pic) x = 25
-
Step-by-step explanation:
☆9x - 15 is congruent to 7x + 5, meaning they equal the same. This is because they are vertical to each other
☆The equation would be a 9x - 15 = 7x + 5.
☆Let's solve it!
[tex] \: \: \: \: \: \: \: \: \: 9x - 15 = 7x + 5 \\ \frac{ - 7x \: \: \: \: \: \: \: = - 7x}{2x - 15 = 5} \\ \frac{ \: \: \: \: \: \: \: \: \: \: + 15 = + 15}{ \frac{2x}{2} = \frac{20}{2} } \\ \\ x = 10[/tex]
-------
☆2x + 15 and x are complementary angles, meaning they equal 90ndegrees together. This is because they lie on a right angle.
☆The equation would be: 2x + 15 + x = 90.
☆Let's solve it!
[tex]2x + 15 + x = 90 \\ 3x + 15 = 90 \\ \frac{ \: \: \: \: \: \: \: \: \: - 15 = - 15}{ \frac{3x}{3} = \frac{75}{3} } \\ \\ x = 25[/tex]
Write the phrase as an expression.
5 less than 8
An expression is
Answer:
the expression is 5 - 8
which is -3
or
the expression is 5 < 8
Suppose that 11 inches of wire costs 33 cents.
At the same rate, how many inches of wire can be bought for 21 cents inches?
Answer:
Suppose that 14 inches of wire cost 42 cents at the same rate how many inches of wire can be bought for 24 cents
Step-by-step explanation:
Select all the expressions that have a value of 180 when b = 4. o 876 – 179 + 957 - 87 O 336 12 62 + 120 0 516 - 24 ( 115 + 187 – 2,756 - 13
Answer: miata
Step-by-step explanation:
Submit For
Score
Which term best describes the savings account that Isabel has set up, given its purpose?
Select the correct answer.
es
Comments
O emergency fund
O mutual fund
Orainy-day fund
sinking fund
Answer:
Emergency Fund
Step-by-step explanation:
Isabel has setup fund for her emergency needs. She has started saving with named as emergency fund so that she can use her savings when she is in severe needs. Isabel has saved money and then she is now saving her money in saving accounts in the bank.
4x² when x = 5/6 and 1/2
a. Miss Butler made a circle graph to show the grades on the term papers. There were 14 B's, 10 A's, and 8 C's.
The diameter of a circle is 55 inches.
Find the length of its radius.
Answer:
inches
Answer:
27.5 inches
Step-by-step explanation:
The circle's "radius" refers to the distance from the center towards the circumference. Once the diameter of a circle is given, it is easy to get the radius. In order to get the length of the circle's radius, all you have to do is to divide the diameter (55 inches) into two.
55 inches ÷ 2 = 27.5 inchesTherefore, the circle's distance from the center towards the circumference is 27.5 inches. This is the radius.
165% as a fraction. PLEASE I NEED IT NOW
Answer:
33/20
Step-by-step explanation:
Answer:
1.65 is the answer just put a decimal
Write the rational number as a decimal. 7 over 40
Answer:
0.175 is a decimal and 17.5/100 or 17.5% is the percentage for 7/40.
Answer: 0.175
Step-by-step explanation:
solve x : 3 (x-1) +7= 4x +2 -3 (2-x)
Answer:
Step-by-step explanation:
x=2
remove the parentheses. cancel the equal terms. calculate. move the terms. calculate. divide both sides. x=2
Simplify
(45x6y%) = (5x4y2
Answer:
0 would be your anwswer
Step-by-step explanation:
Me Pekzer has a problem he has become obsessed with TickTock's he makes them all the time now when he started counting he had made 544 different TickTock's he did some calculations and determined the number of TickTock's he made was growing by 11% each week write an equation to represent this situation .
Answer:
544w + 11%
Step-by-step explanation:
544 is the number he started with, so if he increases 11% by w (the amount of weeks) then you will get your anwser based on the number of weeks he increases
Seven angles of an octagon measure 105, 139, 131, 115, 155, 138, and 145 degrees. What is the measure of the eighth angle?
Answer:
105 hopefully this helps you
The piecewise function h(x) is shown on the graph.
What is the value of h(3)?
Answer:
In the given graph h(x)
When x=3, h(3)=1
1 is the right answer.
In the number 4,532,800 what place is the 5
Answer:
One-Hundred Thousand Place value
Step-by-step explanation:
What is 1 2/3 x 1 1/4 ????
Answer:
2 1/12 B)
Step-by-step explanation:
Which situation can be represented by 10x + 45 = 25x?
A.Ten times the sum of a number and 45 cents is the same as 25 times the number. What is the number, x?
B.A coin collection contains the same number of quarters as dimes. The value of the quarters increased by 45 cents is the same as the value of the dimes. How many quarters or dimes, x, are in the collection?
C.Twenty-five times a number is the same as 45 times the number increased by 10. What is the number?
D.The value of x dimes increased by 45 cents is the same as the value of x quarters. What is the value of x?
Answer:
its A.
Step-by-step explanation:
Answer: A. .Ten times the sum of a number and 45 cents is the same as 25 times the number. What is the number, x?
Step-by-step explanation:
10x + 45 = 25x can be written = its 10 times (x) + 45 is the sum of 25 times (x) the number
Hope this helps :)
Leslie shows a funny video to 5 of her friends. Every hour, the video
views triple. Leslie shows a funny video to 5 of her friends. Every hour, the video
views triple. How many people saw the video on the 7th hour? many total people saw the video after the 7th hour?
Answer:
10,935 views
Step-by-step explanation:
We can first design a formula for this scenario. Since the views triple this means that the initial views (i) needs to be multiplied by 3. Since this happens every hour we need to raise 3 to the power of the number of hours (h) that has passed by. This would give us the total number of views at that hour. Therefore, the formula would be the following...
i * [tex]3^{h}[/tex]
We can input the values given to us into the formula and solve it for the total number of view. The initial number of views would be 5 (one for each friend) while we are trying to find the total number of views in the 7th hour.
5 * [tex]3^{7}[/tex]
5 * 2187
10,935 views
6 If the altitudes of a triangle meet at one of the triangle’s vertices, then the triangle is
1) a right triangle
2) an acute triangle
3) an obtuse triangle
4) an equilateral triangle
Answer:
1) a right triangle
Step-by-step explanation:
One of the caractheristics of a right triangle, the one in which the sum of the two sides squared is the hypotenuse squared(Pytagorean Theorem), is also the the altitudes of a triangle meet at one of the triangle’s vertices. So 1) is the answer to this question.
write the equation of the line that is parallel to y = 4x -7 and passes through the point (-2, -5). show your work.
Answer:
y = 4x + 3
Step-by-step explanation:
To do this, put the new line into the form y = mx + b where m is the slope and b is the y-intercept.
When two lines are parallel, they have the same slope. Since, the slope of the first line is 4, that means the slope of the second line is also 4.
So far, the equation is y = 4x + b.
Then, since you know (-2, -5) is a solution, x = -2, y = -5 is a solution so you can plug this into the equation.
This would be:
-5 = 4 * -2 + b
-5 = -8 + b
3 = b
This means the equation is y = 4x + 3.
please help meeeeeeeeeeeee
Answer:
Step-by-step explanation:
area of the kite,
A=(d1*d2)/2
A=(16*21)/2= 168 in^2
choice C
I hate these plz help again
Answer and Step-by-step explanation:
We can eliminate answer choices 2 and 4, since the graphs are shading below the line, which means y is less than or less than or equal to the values.
The answer is the first answer choice.
This is because this inequality matches up with the graph.
Everything is shaded below, and y is less than, so it matches up.
3 is the y-intercept.
The slopes match up as well.
#teamtrees #WAP (Water And Plant)
Paul picked 5482 peaches. Peter
picked four times as many as Pual
picked. Sam picked twice as many as
Peter picked. How many peaches did
hey pick altogether?
Answer:
71,266 peaches
Step-by-step explanation:
paul=5482
peter=5482*4=21,928
sam=21928*2=43,856
5482+21,928+43,856=71,266
Patrick drives from P to Q at an average speed of 40 mph . His drive back from Q to P is at an average speed of 45 mph and takes two minutes less. How far, in miles, is it from P to Q?
QUICK ASAP PLS
Answer:
Step-by-step explanation:
66
Select the correct answer.
The length of a rectangle is units greater than its width. If the width is w, which expression gives the perimeter of the rectangle in terms of its width?
A.
4w + 3
B.
w – 3
C.
5w
D.
6w + 4
Answer:
hope it helps
Step-by-step explanation: