Testing the hypothesis in this problem which is a two-tailed test, we can conclude that there is not sufficient evidence to conclude that the mean time of installation has changed, since the p-value of the test is 0.0364 > 0.01,
At the null hypothesis, we test if the mean is of 25 minutes, that is:
[tex]H_0: \mu = 25[/tex]
At the alternative hypothesis, we test if the mean has changed, that is, if it is different than 25 minutes.
[tex]H_1: \mu \neq 25[/tex]
We have the standard deviation for the sample, thus, the t-distribution is used. The value of the test statistic is:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
In which:
X is the sample mean.[tex]\mu[/tex] is the value tested at the null hypothesis.s is the standard deviation of the sample.n is the sample size.In this problem:
25 is tested at the null hypothesis, thus [tex]\mu = 25[/tex].Sample mean of 26.2 minutes, thus [tex]X = 26.2[/tex].Sample of 51, thus [tex]n = 51[/tex].Variance of 16, thus [tex]s = \sqrt{16} = 4[/tex].The value of the test statistic is:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{26.2 - 25}{\frac{4}{\sqrt{51}}}[/tex]
[tex]t = 2.14[/tex]
The p-value of the test is found using a two-tailed test(test if the mean is different of a value), with t = 2.14 and 50 degrees of freedom.Using a t-distribution calculator, this p-value is of 0.0364.Since the p-value of the test is 0.0364 > 0.01, there is not sufficient evidence to conclude that the mean time of installation has changed.
A similar problem is given at https://brainly.com/question/23777908
Help plz 20 points !!!!!!!!!!!!!!!!!!!
Answer:
(- 3, 0 ) and (5, 0 )
Step-by-step explanation:
To find the x- intercepts let f(x) = 0 , that is
x² - 2x - 15 = 0
Consider the factors of the constant term (- 15) which sum to give the coefficient of the x- term (- 2)
The factors are - 5 and + 3 , since
- 5 × 3 = - 15 and - 5 + 3 = - 2 , then
(x - 5)(x + 3) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 5 = 0 ⇒ x = 5
x + 3 = 0 ⇒ x = - 3
The x- intercepts are (- 3, 0 ) and (5, 0 )
A robot can complete tasks in
hour. Each task takes the same amount of time.
a. How long does it take the robot to complete one task?
b. How many tasks can the robot complete in one hour?
Answer: a
Step-by-step explanation:
Answer:
A robot can complete tasks in
hour. Each task takes the same amount of time.
a. How long does it take the robot to complete one task?
It takes one hour to complete one task.
b. How many tasks can the robot complete in one hour?
It complete only one task in one hour.
How many solutions does the equation below have?
2(4x - 1) = -80 – 2
Answer:
ANSWER IS 78
Step-by-step explanation:
THE ANSWER IS 78
Help me please please ..........
Answer:
D
do you rlly need an explanation?
Answer:
b-16/25
Step-by-step explanation:
cause 0.64 would be 64/100 but I can be simplified down to 32/50 but that also could be simplified down to 16/25 which would be your answer because it can not be simplified any more
Joy is preparing 15 liters of 25% saline solution. She
only has 40% and 10% solution in her lab. How many liters of
the 10% should she mix to make the 25% solution?
Answer:
10 liters of 40% solution
10 liters of 10% solution
Brainliest to the most elaborated answer
Answer:
The answer is that you have to find tan x which is by slanted by o,n,2
Step-by-step explanation:
Nicole has a pack of playing cards & she chooses a card at random. what is the probability that she picks an ace?
Give your answer as a fraction in its lowest form
Answer:
1/13 (1 in 13)
Step-by-step explanation:
so, there's 4 aces in a standard deck of 52 cards.
so far, we can see this as 4/52 (4 in 52)
these are both divisible by 2, lets go ahead and simplify that to 2/26
still divisible by 2. this then becomes 1 /13
so, she has a 1/13 (1 in 13) chance to get an ace.
What is the slope of the line that passes through the points (-4, 0) (-4, -10)
Answer:
The slope is undefined.
Step-by-step explanation:
If the x value stay the same between a set of points, the slope of the line will be undefined.
Solve the inequality
-5/2(3x-2)<6-2x.
Show and explain every step.
Answer:
its true the answer is true but would u need a whole Paragraph like an explanation I could make one for you.
The solution of the inequality ( - 5 / 2 ) ( 3x- 2 )< 6 - 2x. will be x < ( 18 / 11 ).
What is inequality?
inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.
Given inequality will be solved as below:-
( - 5 / 2 ) ( 3x - 2 ) < 6 - 2x
Multiply the other hand by 2 and solve further.
( - 5 ) ( 3x - 2 ) < 2 ( 6 - 2x )
( - 5 ) ( 3x - 2 ) < ( 12 - 4x )
Take like terms to the same side and solve.
-15x + 30 < 12 - 4x
-15x + 4x < 12 - 30
-11x < - 18
x < 18 / 11
Therefore, the solution of the inequality ( - 5 / 2 ) ( 3x- 2 )< 6 - 2x. will be x < ( 18 / 11 ).
To know more about inequality follow
https://brainly.com/question/24372553
#SPJ2
help plssss !!! I need help with this I've been struggling
Answer:
362.984 could be the answer but don't judge me I could be wrong.
Step-by-step explanation:
I'm not 100% sure.
From what I've been taught, they're asking for the amount of snow in cm that is melting per minute.
What I did:
I input 17 where r is in the equation for Volume. I solved it and got the answer: 20579.52628 > Rounded to nearest 10th > 20579.5
I then took that number and multiplied it by 0.1 and got: 2057.95
This is most likely incorrect based on the numbers that were given, but it should help to know that how to solve for Volume.
What is 35% of $2,195.73
Answer:
768.51
Step-by-step explanation:
To find 35% change the percentage to a decimal (.35)
Then multiply the original amount by .35
2195.73 *.35
768.5055
Since this is money, we round to the nearest cent
768.51
A diver takes a running leap off of a 40 foot cliff into a pool of water. When she is 5 feet from the cliff,
she reaches a maximum height of 45 feet
Answer
Wow she can air walk
Step-by-step explanation:
Choose the sentence that is equivalent to the following statement:
Among any two consecutive positive integers, there is at least one integer that is not prime.
a. If x and y are positive integers, then x is not prime and y is not prime.
b. If x and y are positive integers, then x is not prime or y is not prime.
c. If x is a positive integer, then x is not prime and x 1 is not prime.
d. If x is a positive integer, then x is not prime or x 1 is not prime.
Answer:
bbbbbbbb
Step-by-step explanation:
bbbbbbbbb;bbbbbbbvvvbbbbb;vvvvvvvvvvvvvv
what single decimal multiplier would you use to decrease by 2% followed by a 7% decrease?
9514 1404 393
Answer:
0.9114
Step-by-step explanation:
The multiplier for a series of changes is the product of the multipliers for each of the changes:
(1 -2%)(1 -7%) = (0.98)(0.93) = 0.9114
Please help
(and explain how you got the answer)
Solve for x.
1/4 + 1/2 + x = −3/4
Enter your answer in the box.
x =
Answer:
x=-1.5
Step-by-step explanation:
To solve for x, you need to rearrange so the x is on one side of the "=" by itself.
So To do that, first you need to subtract 1/4 on both sides of the "=". This leaves you with 1/2+x=-3/4-1/4. You can simplify the -3/4-1/4 to -1 (-4/4). So, you now have 1/2+x=-1.
The next step is to subtract 1/2 on both sides of the "=". This leaves you with x=-1-1/2. Again, you can simplify the -1-1/2 to -3/2 which can be written as -1.5. So, you now have x=-1.5, which is the final answer.
The question may ask you to write your answer in the form of a fraction, in which case your answer x=-3/2. If the questions wants it written as a mixed number, your answer would be -1 1/2.
I have attached a photograph of this method written out using the funnel technique.
Select the best answer for the question.
11. Which of the following is a mixed number?
O A.25
O B.5/2
C. 2.3
O D.2/ 1/2
Answer:
c
Step-by-step explanation:
What is the next number in the sequence 3,5,8,12,17?
Answer:
it would be 23
Step-by-step explanation:
5-3=2
5-8=3
12-8=4
17-12=5
23-17=6
A store is having a sale to clear out the winter clothing items. Every Item in the store is advertised as 50% off the original price. If
an Item is marked with a sale price of $35, what was its original price?
Answer:
$70
Step-by-step explanation:
35+35=70
Does anyone know this?
Step-by-step explanation:
1/2-5/8=6/8=3/4 or 0.75
Order of operations
6 + 24 ÷ 3-2
Answer:
12
Step-by-step explanation:
(6+24÷3)−2
(6+8)−2
14−2
12
Answer:
12
Step-by-step explanation:
PLEASE HELP look at this screenshot is it a, b, c, or d
Answer:
D.
Step-by-step explanation:
(-4,6) slope 3/4 written in slope intercept form
Answer:
y=3/4x+9
Step-by-step explanation:
it is right trust me.
7/8 divided by 3/4 is what?
Answer:
1/8
Step-by-step explanation:
3/4=6/8
7-6=1
therefore 1/8
Answer:
7/6
Step-by-step explanation:
7/8 divided by 3/4= 7/8 x 4/3 = 28/24= 7/6
Rakim's goal is to have at least $500 in his checking
account at the end of the year. The table shows his
activity for the month of January. Will Rakim make his
goal if the month of January's activity is representative
of how much he will save and spend each month?
Explain.
Answer:
Each month he will save $ 50
Each month he will spend $1,250
Raking will have $600 in his checking account at the end of the year.
Step-by-step explanation:
1300 - 500 - 750 = $50
$50 x 12 month = $600
The required amount Rakim saves and sped each month is $50 and $1250.
Given that,
Rakim's goal is to have at least $500 in his checking account at the end of the year. The table shows his activity for the month of January. Will Rakim make his goal.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
According to the question,
Total money he has = 1300
Total money spend = 750 + 500 = 1250
Money he save = 1300 - 1250 = 50
For the condition of at end of the year he must have at least $500
So,
Yearly saving = 50 × 12 = $600, which greater than $500.
The required amount Rakim saves and sped each month is $50 and $1250.
Learn more about simplification here: https://brainly.com/question/12501526
#SPJ5
Write the slope-intercept equation of the line passing through (4,6) and (0,-8).
Answer:
Answer:
[tex]y=\frac{7}{2} x -8[/tex]
Step-by-step explanation:
We are given that a line contains these 2 points: (4,6) and (0,-8), in slope-intercept form
Slope-intercept form is given as y=mx+b, where m is the slope and b is the value of y at the y intercept
First, we need to find the slope of the line
The slope can be calculated using the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points
Even though we have 2 points, let's label their values to avoid any confusion and mistakes when calculating:
[tex]x_1=4\\y_1=6\\x_2=0\\y_2=-8[/tex]
Now substitute into the formula
m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
m=[tex]\frac{-8-6}{0-4}[/tex]
Subtract
m=[tex]\frac{-14}{-4}[/tex]
Divide
m=[tex]\frac{7}{2}[/tex]
The slope is 7/2
Here is the equation of the line so far:
[tex]y=\frac{7}{2}x + b[/tex]
We now need to find b
As the equation passes through (4,6) and (0,-8), we can use either one of them to help solve for b.
Taking (4,6) for instance:
[tex]6=\frac{7}{2}(4) + b[/tex]
Multiply
[tex]6=14 + b[/tex]
Subtract
-8 = b
The equation therefore is:
[tex]y=\frac{7}{2} x -8[/tex]
Topic: slope-intercept form
See more: https://brainly.com/question/27726094
A.answer the following:
1.what is the common ratio of the following G.P.
a.4,3,9/4..... c.-10,-2,-2/5,-2/27
b.1,-6,36...... d.0.03,0.3,3...
2.find the missing term 120,60,30,__ , __
3.given the G.P.5,10,20......what is the 10th term?
Answer:
30
Step-by-step explanation:
took test
Select all that are equivalent to
Assume a not equal to 0
***please answer fast***
Answer:
1 and 3
Step-by-step explanation:
This simplifies by cancelling out the lesser, so it is 1/a^7
can also be simplified to a^-7
Answer:
Options 1 & 3
Step-by-step explanation:
Hope it helps!
Graph the equation.
y=-3x - 4
Step-by-step explanation:
Goes down 4 since it's a negative
Do the ratios
4
7
and
1
5
form a proportion?
please help me solve this !
will mark brainliest !
(spammers reported)
Answer:
it is five
Step-by-step explanation:
5v-2=8 then v=x2 because 5x2=10-2=8
so 7v-9=5
The correct answer is 5