Answer:
CI =[- 4.588; 15.4]
Since the calculated value of t= 4.244 falls in the critical region so we reject H0 and conclude that we are not confident that the mean difference in lifetime between front and rear brake pads is 99.5%
Step-by-step explanation:
The given data is
Car Rear Front d= rear- front
1 40.6 32.5 8.1
2 35.4 27.1 8.3
3 46.6 35.6 11
4 47.3 35.6 11.7
5 38.7 30.3 8.4
6 51.2 41.1 10.1
7 50.6 40.7 9.9
8 45.9 34.3 11.6
9 47.2 36.5 10.7
∑ = 89.8
Let the hypotheses be
H0: ud= 0 against the claim Ha: ud ≠0
The degrees of freedom = n-1= 9-1= 8
The significance level is 0.05
The test statistic is
t= d`/sd/√n
The critical region is ║t║≤ t (0.025,8) = ±2.306
Sd= 7.05434553
d`=∑d/n= 89.8/9= 9.978
Therefore
t= d`/ sd/√n
t= 9.978/ 7.054/√9
t= 4.244
1) Since the calculated value of t= 4.244 falls in the critical region so we reject H0 and conclude that we are not confident that the mean difference in lifetime between front and rear brake pads is 99.5%
2) the confidence interval for the difference of two samples can be calculated by
d ` ± td sd/√n
9.978 ±2.306* 7.054/√9
- 4.588; 15.4
HELP WILL GIFT 30 EXTRA POINTS IF SOLVE ANSWER ALL QUESTIONS PLEASE!!!
Answer:
Question 1: The amount of students that Yolanda kept track of doesn't add up to her sample space.
Question 2: The sample space is 237. I know this because it said in the question she was asking all of the students at their Middle School which happened to be 237. A sample space is the group that you are taking information from. They are taking information from 237 students.
All seniors voted for this year's prom theme. The bar graph below shows the distribution of responses of which theme each student selected. Is there a problem with the way the data are displayed in the bar graph?
Answer:
yes there is a problem
Step-by-step explanation:
The ranking should start from 0 n u can see its started from5
Answer:
(A) Yes, the vertical axis should begin at 0, not at 5.
Step-by-step explanation:
I just took the AP Stat Unit test on Edg2022 and got 100%.
When the vertical axis does not start at 0, it makes the graph look misleading.
Don't forget to press that THANKS button!
1. For a one-tailed test (lower tail) at 93.7% confidence, Z =
2. For a one-tailed test (upper tail), a sample size of 24 at 90% confidence, t =
3. In a one-tailed hypothesis test (lower tail=left tailed test) and where the population standard deviation is known, the test statistic is determined to be -2.5. What is the p-value for this test?
Answer:
1) Z = -1.8592
2) t = 1.7139
3) p = 0.0062
Step-by-step explanation:
1) Area: (93.7+100)/2 = 193.7/2 = 96.85
Z = invNorm(0.9685,0,1) = 1.8592, but since the test is one-tailed at the lower tail, Z is actually -1.8592
2) Area: (90+100)/2 = 190/2= 95 where df=n-1=24-1=23
t = invT(0.95,23) = 1.7139
3) Since the population standard deviation is known, our test statistic is z=-2.5, making the p-value for the test p=normalcdf(-1e99,-2.5,0,1) = 0.0062
Which expressions are equivalent to - f - 502f - 3)?
Answer:
?
Step-by-step explanation:
What grade is this for?
On Marlene's trip to Starved Rock, her average rate of speed for the entire five-hour trip was 62 miles per hour. For the first two hour of her trip, she kept her average speed at 50 miles per hour. Then she realized she was going to be late to meet her friend for dinner, so she started driving faster. What was her average speed for the last three hours of the trip?
Answer:
70
Step-by-step explanation:
brainliest plz
hey akaspratt since I didn’t give you brainliest would you like To answer This question what’s The absolute value of -14
Answer:
14
Step-by-step explanation:
Absoloute value means the distance from 0, so the distance of -14 from 0 is 14
Answer:
absolute value:14
Find the midpoint of the line segment with end coordinates of:
(-3, -1) and (4, -5)
Give coordinates as decimals where appropriate.
Help me out please I’ll give all five stars
I think it is 10 miles.
I hope this helps! :)
Help me out with this please!
Please don't send me links to any suspicious websites other than Brainly.
1.) f^-1(x) = x/3 -2
2.)f^-1(x) = 5x/6 + 5/2
I hope this helps you have a nice day!
The sum of 8 and Jose's savings is 50.
Answer:
8 + x = 50, so Jose's saving or x = 42
Hope this helps!
Answer:
The equation is: s + 8 = 50
The amount of Jose's savings is: 42
Step-by-step explanation:
Let s = Jose's savings.
s + 8 = 50
Subtract 8 from both sides.
s = 42
The equation is: s + 8 = 50
The amount of Jose's savings is: 42
a car travels 156 miles in 3 hours and 15 minutes. how many miles does it travel per hour
Answer:
48 mph
Step-by-step explanation:
Convert 3 hours 15 minutes to hours.
15 minutes = 15/60 hour = 1/4
So 3 hours 15 mins = 3 1/4 hours = 13/4 hours
156 miles in 13/4 hours ==> speed = 156 ÷ 13/4 = 156 x 4/13 = 48
Use the diagram to name the following
Answer:
1. P
2. BP
3. DE
4. AB
Step-by-step explanation:
Nancy rides her horse with a constant speed of 12 miles per hour. How long will she take to travel a distance of 6 miles?
Answer:
it will take her 30 minutes long
Answer
30 minutes
Step-by-step explanation:
6 is half of 12 and Nancy is moving 12 mph. half of an hour is 30 minutes so the answer would be 30 minutes.
There are 750 people at a football game Out of this number 320 are students what percent of people at the football game are not students? Round to the nearest hundredth,if needed.
The percent of people at the football game are not students will be 57.33%.
What is mean by Percentage?
A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
To Calculate the percent of a number , divide the number by whole number and multiply by 100.
Given that;
The number of peoples in football game = 750
The number of students = 320
Now.
Find the percent of people at the football game are not students as;
Number of people are not students = 750 - 320
= 430
Thus, The percent of people at the football game are not students is;
Percent = 430 / 750 x 100
= 0.5733 x 100
= 57.33%
Hence, The percent of people at the football game are not students will be 57.33%.
Learn more about the percent visit:
https://brainly.com/question/843074
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If a 5-foot tall man casts a shadow of 12 feet when standing on level ground, then the distance from the top of his head to the tip of his shadow is
Answer:
13 feet
Step-by-step explanation:
you can use the Pythagorean Theorem to solve this problem because the man standing on the ground forms a 90 degree angle
5² + 12² = c²
25 + 144 = c²
169 = c²
c = √169 which is 13
Can anyone give me some advices for my sis cause she is going to high school soon and I'm worried- even tho she is older then me, she is Autism and ofc I'm worried-
Don't worry I'm sure there'll be great people that would love to be friends with her!, you can also try to call everyday after she finishes her classes^^
Step-by-step explanation:
Advice;
Talk to her, let her know of the things she could be facing, yes we can give her as much advice as needed but it won't stop her from facing other rude teenagers.If she has a temper you guys should come up w coping mechanisms to use during school when she'll be alone. It's good practice to growing up.Ask for a tour around the school, it'll help her be more aware of her surroundings when she starts to attend.If she's nervous about entering a whole different nd new place it's fine, assure her it's going to be okay it'll just be a little adjustment.Advice for you; ( I know it wasn't asked of )
Calm down. Don't stress, I mean I know you're gonna, she's your sister but worrying about her is just gonna be a whole other problem you don't need. She's fine, she'll be fine, you don't want her to see you worry nd make her feel the same way, right?Alright, hope this was helpful! Need a little more insight? Feel free to ask.
I need the coordinates like ASAP
Ben deposited $6,500 in a simple interest account that pays 2.8% interest annually. If Ben leaves the money in the account for 12 years, how much interest will he earn?
Answer: $2184
Step-by-step explanation:
(6800)(0.028)(12) = 2184
me pueden ayudar profabor
Answer:
que que
Step-by-step explanation:
que
What is the length of the radius of a circle whose circumference is 125.6 feet? Use 3.14 for Pi.
Answer:
Hello! answer: 20
Step-by-step explanation:
circumference is just diameter × pi so If we do circumference ÷ pi we will get our diameter so
125.6 ÷ 3.14 = 40 But remember diameter is just twice the radius so all we have to do is divide by 2 to get our radius so
40 ÷ 2 = 20 So 20 is the radius Hope this helps!
Answer:
the answer is 20 feet
Step-by-step explanation:
divide the circumference by 3.14 gives you the diameter then divide the diameter by 2 to get the radius.
Part A: explain why x coordinates of the points where the graphs of the equations y=4^x and y=2^(x-1) intersect are the solutions of the equation 4^x=2^(x-1). Part B: Make tables to find the solution to 4^x=2^(x-1). Take the integer values of x between -4 and 4. Part C: How can you solve the equation 4^x=2^(x-1) graphically?
9514 1404 393
Explanation:
A. The given equation will have a solution when the value of x makes the left-side expression equal to the right-side expression.
The value of the left-side expression for a given value of x is the y-value of y=4^x. The value of the right-side expression for a given value of x is the y-value of y=2^(x-1). The left-side expression will be equal to the right-side expression for a given value of x when the graph of y=4^x and the graph of y=2^(x-1) have the same y-value. That is, the graphs will be of the same point for that x-value. That is what we mean when we say the curves will intersect at that point.
The x-coordinate of the point of intersection is the value that makes the expressions equal, hence it is the solution to the equation.
__
B. The tables are included in the first attachment. We have used f(x) to represent the left-side expression, and g(x) to represent the right-side expression.
__
C. As described in Part A, the graphs will cross at the solution point. Hence the equation can be solved graphically by graphing the left-side expression and the right-side expression and seeing where the graphs cross. (That is at the point (-1, 0.25) on the attached graph.)
Alternate graphical method
The solution can also be found graphically by graphing the difference of the expressions: y = 4^x -2^(x-1). This difference will be zero at the value of x that makes the two expressions equal. That is, the x-intercept of the graph of this difference will be the solution value. The second attachment shows this sort of graphical solution. (It works nicely because many graphing calculators will display the value of the x-intercept.)
Proper angle for a ladder is about 75° from the ground. Suppose you have a 10 foot ladder. How far from the house should you place the base of the latter? Round to the nearest hundredth
Answer:
The base of the ladder is 2.58 m.
Step-by-step explanation:
Given that,
The angle of elevation for a ladder from the ground is 75°.
The length of a ladder, H = 10 foot
We need to find the distance from the house should you place the base of the latter. Let the base of the ladder is b. Using trigonometry,
[tex]\cos\theta=\dfrac{B}{H}\\\\B=H\times \cos\theta\\\\B=10\times \cos(75)\\\\B=2.58\ m[/tex]
So, the base of the ladder is 2.58 m.
30/75 reduced to lowest terms
[tex]\frac{30}{75}[/tex] divide each number by 5.
[tex]\frac{6}{15}[/tex] divide each number by 3
[tex]\frac{2}{5}[/tex]
Therefore, the reduced form is
[tex]\frac{2}{5}[/tex]
Write the equation for a parabola with a focus at (7, 2) and a directrix at y = -2.
y =
Answer:
(x-7) squared over 8
Step-by-step explanation:
[tex]y=\frac{(x-7)^{2} }{8}[/tex]
help me find the answer
100 point if u help
Answer:
maybe it is 3600 m not sure though
A model of a house is created by putting a square pyramid on a cube. The resulting figure has a surface area of 165 square inches 5 in. What is the height of one of the triangular faces? O 2 inches O 4 inches O 5 inches O 6 inches
Answer:
Is 4 inches or B
Step-by-step explanation:
I can't really break it down but I did get it right on Edge 2021.
I need some help!! I will try to give brainliest!!!
Answer:
x = 35
y = 95
Step-by-step explanation:
(For y) The measure of a line is 180 degress. 180 - 95 - 50 = 35.
(For x) The measure of a triangle is 180 degress. 180 - 50 - 35 = 95.
Answer:
x = 85, y = 45
Step-by-step explanation:
solving for x:
180 - 95 = 85
solving for y:
85 + 50 = 135
180 - 135 = 45
Good luck on your schoolwork
The plane region is revolved completely about the x-axis. Find its surface area in EXACT form (in terms of pi and/or with simplified radicals as necessary).
Answer: The Given plane region is missing attached below is the plane region
answer : 24 π or 75.40 sq. units
Step-by-step explanation:
Given data :
Height of plane region = 3
base of plane region = 4
When we revolved the plane region completely we will we forming a cone hence we will calculate for the surface area of a cone
Radius of the new cone = 3
Height of the cone = 4
slant height of the cone ( l ) = [tex]\sqrt{4^2 +3^2}[/tex] = 5
surface area of cone = πr^2 + πrl
= π ( 3 )^2 + π (3 ) ( 5 )
= 24 π or 75.40 sq. units
Solve
5.27*0.01(2.1)
Answer:
the answer is 0.11067
Step-by-step explanation:
! + 3 − 5 = 0; by completing the square
Answer:
x = 1.19258 and x = −4.19258
Step-by-step explanation:
The given equation is :
[tex]x^2+3x-5=0[/tex]
Keep x terms on the left and move the constant to the right side by adding it on both sides.
[tex]x^2+3x=5[/tex]
Take half of the x term and square it.
[tex](3\times \dfrac{1}{2})^2=\dfrac{9}{4}[/tex]
then add the result to both sides
[tex]x^2+3x+\dfrac{9}{4}=5+\dfrac{9}{4}\\\\(x+\dfrac{3}{2})^2=\dfrac{29}{4}\\\\(x+\dfrac{3}{2})=\sqrt{\dfrac{29}{4}}\\\\x=\dfrac{-3}{2}+\sqrt{\dfrac{29}{4}}\\\\x=\dfrac{-3}{2}-\sqrt{\dfrac{29}{4}}[/tex]
So,
x = 1.19258 and x = −4.19258
Hence, this is the required solution.