Please join help quickly
Answer:
A hope its right!!
Step-by-step explanation:
Have a good day!
A study is done to determine if students in the California state university system take longer to graduate than students enrolled in private universities. One hundred students from both the California state university system and private universities are surveyed. From years of research, it is known that the population standard deviations are 1.5811 years and 1 year, respectively. The following data are collected.
The California state university system students took on average 4.5 years with a standard deviation of 0.8.
The private university students took on average 4.1 years with a standard deviation of 0.2.
Required:
Conduct a hypothesis test at the 5% level.
Answer:
Step-by-step explanation:
From the given information:
sample size n = 100
Since the population is assumed to be normal. then:
[tex]\overline X _{state} - \overline X_{private} \sim N(\overline X _{state}-\overline X _{private, SD^2_{state} + SD^2_private} -2\times Cov(\overline X _{state} - \overline X_{private}})}[/tex]
[tex]\overline X _{state} - \overline X_{private} \sim N(4.5-4.1, 0.8^2 + 0.2^2 -2\times 0})}[/tex]
[tex]\overline X _{state} - \overline X_{private} \sim N(0.4, 0.68})}[/tex]
The test statistics:
[tex]z = \dfrac{\overline X_{state} - \overline X_{private} }{ \sqrt{\dfrac{\sigma^2_{state}}{n } + \dfrac{\sigma^2_{private}}{n } } }[/tex]
[tex]z = \dfrac{0.4 }{ \sqrt{\dfrac{1.5811^2}{100 } + \dfrac{1^2}{100 } } }[/tex]
z = 2.138
Using the z tables;
P-value = (Z> 2.138)
P-value = 1 - (Z<2.138)
P-value = 1 - 0.9837
P-value = 0.0163
Decision rule: to reject the null hypothesis if the p-value is less than the significance level
Conclusion: We reject the null hypothesis and conclude that there is enough evidence to conclude that the average time it requires for the students to graduate from a private university is lesser than that of the time it takes such student to graduate from the California state university system.
Marian is making bread, she has 2 4/7 pounds of flour in her pantry. When making the bread, she will use ⅓ of the flour in the pantry. The amount of salt in the recipe is ⅓ of the amount of flour in the recipe. How much salt will Marian need to make bread?
find a curve that passes through the point (1,-2 ) and has an arc length on the interval 2 6 given by 1 144 x^-6
Answer:
[tex]f(x) = \frac{6}{x^2} -8[/tex] or [tex]f(x) = -\frac{6}{x^2} + 4[/tex]
Step-by-step explanation:
Given
[tex](x,y) = (1,-2)[/tex] --- Point
[tex]\int\limits^6_2 {(1 + 144x^{-6})} \, dx[/tex]
The arc length of a function on interval [a,b]: [tex]\int\limits^b_a {(1 + f'(x^2))} \, dx[/tex]
By comparison:
[tex]f'(x)^2 = 144x^{-6}[/tex]
[tex]f'(x)^2 = \frac{144}{x^6}[/tex]
Take square root of both sides
[tex]f'(x) =\± \sqrt{\frac{144}{x^6}}[/tex]
[tex]f'(x) = \±\frac{12}{x^3}[/tex]
Split:
[tex]f'(x) = \frac{12}{x^3}[/tex] or [tex]f'(x) = -\frac{12}{x^3}[/tex]
To solve fo f(x), we make use of:
[tex]f(x) = \int {f'(x) } \, dx[/tex]
For: [tex]f'(x) = \frac{12}{x^3}[/tex]
[tex]f(x) = \int {\frac{12}{x^3} } \, dx[/tex]
Integrate:
[tex]f(x) = \frac{12}{2x^2} + c[/tex]
[tex]f(x) = \frac{6}{x^2} + c[/tex]
We understand that it passes through [tex](x,y) = (1,-2)[/tex].
So, we have:
[tex]-2 = \frac{6}{1^2} + c[/tex]
[tex]-2 = \frac{6}{1} + c[/tex]
[tex]-2 = 6 + c[/tex]
Make c the subject
[tex]c = -2-6[/tex]
[tex]c = -8[/tex]
[tex]f(x) = \frac{6}{x^2} + c[/tex] becomes
[tex]f(x) = \frac{6}{x^2} -8[/tex]
For: [tex]f'(x) = -\frac{12}{x^3}[/tex]
[tex]f(x) = \int {-\frac{12}{x^3} } \, dx[/tex]
Integrate:
[tex]f(x) = -\frac{12}{2x^2} + c[/tex]
[tex]f(x) = -\frac{6}{x^2} + c[/tex]
We understand that it passes through [tex](x,y) = (1,-2)[/tex].
So, we have:
[tex]-2 = -\frac{6}{1^2} + c[/tex]
[tex]-2 = -\frac{6}{1} + c[/tex]
[tex]-2 = -6 + c[/tex]
Make c the subject
[tex]c = -2+6[/tex]
[tex]c = 4[/tex]
[tex]f(x) = -\frac{6}{x^2} + c[/tex] becomes
[tex]f(x) = -\frac{6}{x^2} + 4[/tex]
You can use the formula for finding the arc length on specified interval on x axis.
The curves whose arc length on the given interval is described are
[tex]f(x) = 6x^{-2} -8[/tex]
and
[tex]f(x) = -6x^{-2} + 4[/tex]
What is the length of the arc of a function f(x) from x = a to x = b?If the function is differentiable in the given interval, then we have:
[tex]s = \int_a^b\sqrt{(1 + (f'(x))^2)}\:dx[/tex]
where s denotes the length of the arc of the given function from x = a to x = b
Using the above formula, as we're already given the arc length, thus,
[tex]\int_a^b\sqrt{(1 + (f'(x))^2)}\:dx = \int_2^6\sqrt{(1 +144x^{-6})}\:dx[/tex]
This gives us
[tex]f'(x) = \pm \sqrt{144x^{-6}} = \pm 12x^{-3}[/tex]
Integrating both sides with respect to x, we get:
[tex]f(x) = \pm \int 12x^{-3}\\\\f(x) = \pm 6x^{-2} + c[/tex]
where c is constant of integration.
Since the curve passes through (1,-2), thus, putting f(x) = -2, x = 1, we get:
[tex]f(x) = \pm 6x^{-2} + c\\-2 = \pm 6 + c\\c = -2 \mp 6 = -8, or ,4[/tex]
c = -8 when we have [tex]f(x) = 6x^{-2} + c[/tex]
c = + 4 when we have [tex]f(x) = -6x^{-2} + c[/tex]
The curves whose arc length on the given interval is described are
[tex]f(x) = 6x^{-2} -8[/tex]
and
[tex]f(x) = -6x^{-2} + 4[/tex]
Learn more about length of the arc of a curve here:
https://brainly.com/question/14319881
What is x when 44x=78
Answer:
≈ 1.77
Step-by-step explanation:
So we are looking for x in 44(x) = 78.
All we have to do is isolate the variable, get x by itself.
Divide 44 by both sides :
[tex]\frac{44x}{44} = \frac{78}{44}[/tex]
[tex]x = 1.772727272723[/tex]
Which can be rounded to ≈ 1.77
Find x. (More info in the pic)
Find the equation of the regression line that relates the variable you chose in question 3 (use this variable as the x-value) to the total weight of discarded garbage (use this variable as the y-value). Write your equation in y = mx + b form, and round your values of m and b to two decimal places.
Answer:
See Explanation
Step-by-step explanation:
The question has missing details as no link is provided to the "question 3".
However, I'll give a worked solution on how to calculate the equation of a regression line.
Using the following data:
[tex]\begin{array}{cc}x & {y} & {43} & {99} & {21} & {65} \ \\ {25} & {79} & {42} & {75} \ \end{array}[/tex]
Calculate the equation of the regression line.
The equation is calculated using:
[tex]y = mx + b[/tex]
Where:
[tex]m = \frac{n(\sum xy ) - (\sum x)(\sum y)}{n(\sum x^2) - (\sum x)^2}[/tex]
and
[tex]b = \frac{(\sum y)(\sum x^2) - (\sum x)(\sum xy)}{n(\sum x^2) - (\sum x)^2}[/tex]
So, first we fill in the table with columns x^2, y^2 and xy
[tex]\begin{array}{ccccc}x & {y} & {xy} & {x^2} & {y^2 }& {43} & {99} & {4257} & {1849} & {9801} & {21} & {65} &{1365} &{441} & {4225}\ \\ {25} & {79} & {1975} & {625} & {6241}& {42} & {75} &{3150} & {1764} & {5625}\ \end{array}[/tex]
From the above table.
[tex]\sum x = 43+21+25+42[/tex]
[tex]\sum x = 131[/tex]
[tex]\sum y = 99+65+79+75[/tex]
[tex]\sum y = 318[/tex]
[tex]\sum xy = 4257+1365+1975+3150[/tex]
[tex]\sum xy = 10747[/tex]
[tex]\sum x^2 = 1849 + 441 + 625 + 1764[/tex]
[tex]\sum x^2 = 4679[/tex]
[tex]\sum y^2 = 9801 + 4225 + 6241 + 5625[/tex]
[tex]\sum y^2 = 25892[/tex]
[tex]n =4[/tex]
Solving for m
[tex]m = \frac{n(\sum xy ) - (\sum x)(\sum y)}{n(\sum x^2) - (\sum x)^2}[/tex]
[tex]m = \frac{4 * 10747 - 131*318}{4*4679 -(131)^2}[/tex]
[tex]m = \frac{1330}{1555}[/tex]
[tex]m = 0.86[/tex] --- approximated
Solving for b
[tex]b = \frac{(\sum y)(\sum x^2) - (\sum x)(\sum xy)}{n(\sum x^2) - (\sum x)^2}[/tex]
[tex]b = \frac{318*4679 - 131*10747}{4*4679-131^2}[/tex]
[tex]b = \frac{80065}{1555}[/tex]
[tex]b = 51.49[/tex]
The equation becomes:
[tex]y = mx + b[/tex]
[tex]y = 0.86x + 51.49[/tex]
Apply the above steps and you will arrive at a solution.
Solve for r 7 = 0.2(r + 3) - -5
Answer:
57 for the way you wrote it. -10 if you write it backwards.
Step-by-step explanation:
I need the answer because I thought it was 39 but was not sure if 39 was the answer
Answer:
I believe you are correct
Step-by-step explanation:
hope I am right
10 x 5 / 2 x 4533432
DON'T USE CALCULATOR AND SHOW YOUR WORK OR NO BRIANLEST
Answer:
113335800
Step-by-step explanation:
solve it step by step
10 x 5/2 is 25
25 x 4533432= 113335800
Answer:
113335800
Step-by-step explanation:
10x5=50
2x4533432=9066864
9066864+50=113335800
On a scale drawing, the scale is 12 inch = 1 foot. What are the dimensions on the scale drawing for a room that is 22 feet by 17 feet?
Answer:
......
Step-by-step explanation:
Answer
11 inches by 8.5 inches
Step-by-step explanation:
We can use proportions to solve this problem, drawing on top, real life on bottom
1/2 inch x inches
-------------- = ----------
1 ft 22ft
Using cross products
1/2 * 22 = x*1
11 =x
11 inches
1/2 inch x inches
-------------- = ----------
1 ft 17ft
Using cross products
1/2 * 17 = x*1
8.5 =x
Solve the equation. Show your work, or explain your reasoning.
-3x - 5 = 16
Need help supper fast pls
RUBU
Uuuuu 25 pizzas tor her birthday party. Each pizza has 8 slices. How many slices of pizza a
there altogether?
2. 225 bottles of mineral water can be packed in a cardboard box. How many bottles can be
accommodated in 8 such boxes?
Answer:
200 slices
28.125 bottles and if you need to round it is 28
Step-by-step explanation:
I need help only gives me 3/3 marks
angle EFB= 75°= Angles on a straight line add up to 180°
x= 75°= Corresponding angles.
A sign says that the price marked on all music equipment is 30℅ off the original price. you buy an electric guitar for the sale price of $315. How much money did you save
There are 18 boys in a class. There are a fewer boys than girls. How many students are there?
NEED THIS IN 10 MINUTES PLEASE
Answer:
5) $82
6) 300
Step-by-step explanation:
If y=x is your linear regression equation, and if x = temperature and y = $ of ice cream sales, then...
5) x = 82, and given that y=x, then y = $82
6) y = $300, and given that y=x, then x = 300
This doesn't really require algebraic calculation, so I wonder if the linear regression equation obtained from the scatter plot is correct.
2(3x-5)+3x+3=20 solve for x
Answer:
= 9x−7
Step-by-step explanation:
=(2)(3x)+(2)(−5)+3x+3
=6x+−10+3x+3
Combine Like Terms:
=6x+−10+3x+3
=(6x+3x)+(−10+3)
=9x+−7
Please best awnswer gets brainliest
Answer: he was a stranger or a hunter
Step-by-step explanation: I think this because it says that they covered him with their muskets and muskets are obviously kind of gun, so it had to be a stranger or hunter. hope this helped if not sorry
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Evaluate the following expression. 7^0
(8x^2 – 7x – 2) – (6x^2 – x + 3)
Answer: = -2x-5
Step-by-step explanation:
2.5= -2B+6 I will give branlyest
Answer: B=1.75
jhgvfcdszdftgyhujikolp
Answer:
1.75
Step-by-step explanation:
I’m struggling helplpppppppppppppp
Answer:
The scale factor would be 3
Step-by-step explanation:
do 12/4 and get 3
PLS HELP DUE TODAY
Equation and explain
Answer:
8 divided by 1/4 = 2
12 divided by 1/4 = 3
more cows were put in the barn
Step-by-step explanation:
8 horses 1/4= 2
12 horses 1/4= 3
NEED HELP AAAH!!!!!!!!
Answer:
x = 13
Step-by-step explanation:
We have the expression -26 - 2x = 13 - 5x and are asked to solve for x.
To solve we need to isolate x.
-26 -2x = 13 - 5x
Add 26 to both sides :
-2x = 39 - 5x
Add 5x to both sides :
3x = 39
Divide 3 from both sides :
x = 13
The tickets for the school play are $7.00 for adults and $5.00 for students. There were 100 tickets sold. If the total profit was $550.00, how many of each were sold?
Answer:
25 adult tickets and 75 student tickets were sold.
Step-by-step explanation:
Given that the tickets for the school play are $ 7.00 for adults and $ 5.00 for students, and that there were 100 tickets sold generating a total profit of $ 550.00, to determine how many of each were sold the following calculation must be performed:
100 x 5 = 500
550 - 500 = 50
7 - 5 = 2
50/2 = 25
100 - 25 = 75
(25 x 7) + (75 x 5) = X
175 + 375 = 550
Therefore, 25 adult tickets and 75 student tickets were sold.
A piggy bank contains 3 pennies, 4 nickels, 4 dimes and 9 quarters. Two coins
are selected at random. There is replacement. What is the probability of 1 penny
and 1 nickel?
Answer:
1325/10000
Explain Step By Step Answer
Use the protector to measure the angle.
Answer:
Your answer is 140 degree
Hope that this is helpful. Tap the crown button, Like & Follow me
C 67 zoom in 11 4 In math class, the following question was a warm-up for students. Write an equivalent expression for the following: 2 (3x + 4y +52) +4(x - y) to the warm-up question? 6.EE.4 · Alex wrote 24x + 4y + 147 Jonah wrote 9x + 4y + 72 Steven wrote 10x + 4y + 10Z Which, if any, of the three students wrote an expression that is equivalert to the warm-up question? Show you work to prove which expressio if any, are equivalent.
Answer:
Alex I think
Step-by-step explanation: