Answer:
The pvalue of the test is of 0.0979 > 0.01, which means that we cannot conclude that the mean tuition and fees for private institutions in California is greater than $35,000.
Step-by-step explanation:
Test if the mean tuition and fees for private institutions in California is greater than $35,000.
This means that at the null hypothesis we test if the fee is of $35,000 or less, that is:
[tex]H_0: \mu \leq 35000[/tex]
And at the alternate hypothesis, we test if it is more than this value, that is:
[tex]H_a: \mu > 35000[/tex]
The test statistic is:
As we have the standard deviation of the sample, the t-distribution is used.
[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 and n is the size of the sample.
35000 is tested at the null hypothesis:
This means that [tex]\mu = 35000[/tex]
The mean annual tuition and fees in the 2013-2014 academic year for a sample of 13 private colleges in California was $38,000 with a standard deviation of $7900.
This means that [tex]n = 13, X = 38000, s = 7900[/tex]
Value of the test-statistic:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{38000 - 35000}{\frac{7900}{\sqrt{13}}}[/tex]
[tex]t = 1.37[/tex]
Pvalue of the test and decision:
The pvalue of the test is the probability of finding a mean above 38000, which is the pvalue of t = 1.37, with 13 - 1 = 12 degrees of freedom, using a one-tailed test.
With the help of a calculator, this pvalue is of 0.0979.
The pvalue of the test is of 0.0979 > 0.01, which means that we cannot conclude that the mean tuition and fees for private institutions in California is greater than $35,000.
The denominator of a fraction is 7 more than the numerator. If 1 is added to the numerator and 6 is added to the denominator, the value of the fraction will be ½. Find the numerator and the denominator.
Answer:
Let x=numerator,
y=denominator.
y=x+7 - - - - - (i)
(x+3)/(y+3) = 2/3
(Cross multiply)
3(x+3)=2(y+3)
3x+9=2y+6
(subtract 9 from both sides)
3x+9–9=2y+6–9
3x=2y+6–9
3x=2y-3 - - - - - - - (ii)
(substitute the value of equation (i) into (ii))
3x=2(x+7)-3
3x=2x+14–3
3x=2x+11
(subtract 2x from both sides)
3x-2x=2x+11–2x
x=11.
(substitute the value of x into equation (i))
y=7+11
y=18.
so numerator =11,
numerator =11,denominator = 18.
So original fraction is 11/18.
3/11th of original fraction is
= 11/18 x 3/11
= (11x3)/(18x11)
= 3/18
=1/6.
Answer = 1/6.
Answer:
Step-by-step explanation:
let numerator be x and denominerator be y
according to the question equation is
1+x /7+x+6=1/2( do cross multiplication)
7+x+6=2(1+x)
13+x=2+2x
13-2=2x-x
11=x
numerator =x+1=11+1=12
therefore numerator is 12
for denominerator
substitute the value of x in (7+x+6)
=7+11+6
24
2.1 There are 5 red balls, 3 blue balls and 2 green balls in a box. Suzie takes at random a ball from the box and gives it to her friend. She then takes at random another ball from the box.
2.1.1 Write down the sample space of this experiment. [2]
2.1.2 Work out the probability that both balls are of the same colour.
Answer:
23
Step-by-step explanation:
I just did it.
The table of values represents a function f(x).
How much greater is the average rate of change over the interval [7, 9] than the interval [4, 6]?
Enter your answer in the box.
Answer:
It is 603 units greater
Step-by-step explanation:
Given
See attachment for table
Average rate of change over (a,b) is calculated as:
[tex]Rate = \frac{f(b) - f(a)}{b-a}[/tex]
For interval [7,9], we have:
[tex][a,b] = [7,9][/tex]
So, we have:
[tex]Rate = \frac{f(9) - f(7)}{9-7}[/tex]
[tex]Rate = \frac{f(9) - f(7)}{2}[/tex]
From the table:
[tex]f(9) = 3878[/tex]
[tex]f(7) = 1852[/tex]
So:
[tex]Rate = \frac{f(9) - f(7)}{2}[/tex]
[tex]Rate = \frac{3878 - 1852}{2}[/tex]
[tex]Rate = \frac{2026}{2}[/tex]
[tex]Rate = 1013\\[/tex]
For interval [4,6], we have:
[tex][a,b] = [4,6][/tex]
So, we have:
[tex]Rate = \frac{f(6) - f(4)}{6-4}[/tex]
[tex]Rate = \frac{f(6) - f(4)}{2}[/tex]
From the table:
[tex]f(6) = 1178[/tex]
[tex]f(4) = 358[/tex]
So:
[tex]Rate = \frac{f(6) - f(4)}{2}[/tex]
[tex]Rate = \frac{1178 - 358}{2}[/tex]
[tex]Rate = \frac{820}{2}[/tex]
[tex]Rate = 410[/tex]
Calculate the difference (d) to get how much greater their rate of change is:
[tex]d = 1013 - 410[/tex]
[tex]d = 603[/tex]
Answer:
603
Step-by-step explanation:
i took it
Identify like Terms
8x2 yx3 9x2 y2 5y
Select the correct answer. What is the solution to the equation? 3(x+9) ^3/4 = 24
Answer:
7
Step-by-step explanation:
(I’ll give points + brainalist for the correct answer with an explanation)
Answer:
b
Step-by-step explanation:
divide 1/4 by 20
The following measurements (in picocuries per liter) were recorded by a set of carbon dioxide detectors installed in a manufacturing facility: 799.2,784.3,803.8,806.8,780.5,794.8 Using these measurements, construct a 95% confidence interval for the mean level of carbon dioxide present in the facility. Assume the population is approximately normal. Step 3 of 4: Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.
Answer:
(783.806 ; 805.994)
Step-by-step explanation:
Given the sample :
X : 799.2,784.3,803.8,806.8,780.5,794.8
Sample size, n = 6
Sample mean, xbar = Σx / n = 794.9
Sample standard deviation, s = 10.574 ( calculator)
Tcritical at 95%, df = 6 - 1 = 5 equals 2.57
Confidence interval :
Xbar ± standard error
Standard Error = Tcritical * s/√n
Standard error = 2.57 * 10.574/√6 = 11.094
Lower boundary = (794.9 - 11.094) = 783.806
Upper boundary = (794.9 + 11.094) = 805.994
(783.806 ; 805.994)
the width of a rectangle is 7 cm less than twice its length. its area is 30 square cm. find the dimensions
Answer:
l = 6 cm
w = 5 cm
Step-by-step explanation:
l(2l - 7) = 30
2l^2 - 7l - 30
(2l + 5)(l - 6)
l = 6
2(6) - 7 = 5
Someone walked%s the length of this room
then walked backward 4 the length of this
room before walking forward / the length
of the room and hiding the key there. How
far across the room (as a fraction) is the
key? Use a "/" as a fraction bar in your
answer.
Answer:
E-e-e-e-et-t-t-o.... B-b-b-b-b-baka h-h-huh... g-g-g-g-g-g-gOmensas-s-s-sai S-senpai...
Step-by-step explanation:
uHM yeah
Help 100 points to answer the page
Answer:
Use trigonometry
sine = opposite leg / hypotenusecosine = adjacent leg / hypotenusetangent = opposite leg / adjacent leg#123/x = sin 68x = 23 / sin 68x = 24.8Choice A
#221/x = tan 26x = 21/ tan 26x = 43.1Choice D
Note. All numbers below are rounded to the nearest tenth#312/x = sin 53x = 12 / sin 53x = 15.0#48/x = tan 34x = 8/tan 34x = 11.9#5x/ 12 = cos 26x = 12 cos 26 x = 10.8#6x / 13 = sin 34x = 13 sin 34x = 7.3#7x / 18 = sin 53x = 18 sin 53 x = 14.4#8x / 10 = tan 30x = 10 tan 30 x = 5.8#9cos X = 21/35 = 3/5#10tan X = 32/24 = 4/3Answer:
the person above me is correct i said that because i did the math and solved it
Step-by-step explanation:
Help me!! Thank you for the help!!
Answer:
D. 0.34
Step-by-step explanation:
0.24²+0.31²=x² then you find the square root
Answer:
the answer is 0.28, Because of SEGEMENT FH IS HALF OF FG BECAUSE ITS A RIGHT ANGLE.
Help plz plzzzzzzzzzzz ASAP
Given what we observed in #8, how does the area of AFD above compare to the area of ABC ? Explain your answer.
Answer:
This is because the four triangles formed are all identical to each other.
3. Suppose that a parabola has
x-intercepts (-3,0) and (2,0) and goes
through the point (-1,12). Which
quadratic function represents the parabola
in factored form?
A
y=-(2 - 3)(x + 2)
B
y= -2(x − 3)(x + 2)
Y= -2(x+3)(2 – 2)
D.
y= (2 + 1)(x - 2)
Answer:
C. I used to not get this but now I do. hope I helped
Devin has a rectangular vegetable garden. He planted tomatoes in section of the garden with an area of 6 square yards. There were 30 square yards remaining for Devin to plant zucchini. Let g represent the total area of the garden. Which equation models the problem? Solve the equation to find the total area of the garden. g =
Answer:
g=30y^2+6y^2
Step-by-step explanation:
30 years left after six were taken
Determine whether the function are inverse. F(x)=6x+l;g(x)=6x-1
X= 6 2/3 , 9, 12
Only serious answers plzzzzz
Answer:
x = 9
Step-by-step explanation:
4(5 + 4) = 3(x + 3) => Intersecting secants theorem
4(9) = 3(x + 3)
Open bracket by applying distributive property
36 = 3x + 9
Subtract 9 from each side
36 - 9 = 3x + 9 - 9
27 = 3x
Divide both sides by 3
27/3 = 3x/3
9 = x
x = 9
Match each equation on the left with the number and type of its solutions on the right.
Answer:
Step-by-step explanation:
1). Given equation is,
2x² - 3x = 6
2x² - 3x - 6 = 0
To find the solutions of the equation we will use quadratic formula,
x = [tex]\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
Substitute the values of a, b and c in the formula,
a = 2, b = -3 and c = -6
x = [tex]\frac{3\pm\sqrt{(-3)^2-4(2)(-6)}}{2(2)}[/tex]
x = [tex]\frac{3\pm\sqrt{9+48}}{4}[/tex]
x = [tex]\frac{3\pm\sqrt{57}}{4}[/tex]
x = [tex]\frac{3+\sqrt{57}}{4},\frac{3-\sqrt{57}}{4}[/tex]
Therefore, there are two real solutions.
2). Given equation is,
x² + 1 = 2x
x² - 2x + 1 = 0
(x - 1)² = 0
x = 1
Therefore, there is one real solution of the equation.
3). 2x² + 3x + 2 = 0
By applying quadratic formula,
x = [tex]\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
x = [tex]\frac{-3\pm\sqrt{3^2-4(2)(2)}}{2(2)}[/tex]
x = [tex]\frac{-3\pm\sqrt{9-16}}{4}[/tex]
x = [tex]\frac{-3\pm i\sqrt{7}}{4}[/tex]
x = [tex]\frac{-3+ i\sqrt{7}}{4},\frac{-3- i\sqrt{7}}{4}[/tex]
Therefore, there are two complex (non real) solutions.
A certain test preparation course is designed to help students improve their scores on the GRE exam. A mock exam is given at the beginning and end of the course to determine the effectiveness of the course. The following measurements are the net change in 5 students' scores on the exam after completing the course: 6,14,12,23,0 Using these data, construct a 95% confidence interval for the average net change in a student's score after completing the course. Assume the population is approximately normal. Step 2 of 4 : Calculate the sample standard deviation for the given sample data. Round your answer to one decimal place.
Answer:
(0.25 ; 21.75)
8.7 (1 decimal place)
Step-by-step explanation:
Net change in scores : X = 6,14,12,23,0
Sample mean, xbar = (6 + 14 + 12 + 23 + 0) /5 = 55 /5 = 11
Sample standard deviation, s = 8.66 ( from calculator)
Sample standard deviation = 8.7( 1 decimal place)
Sample size, n = 5
The 95% confidence interval; we use t, because n is small
Tcritical at 95%, df = 4 - 1 = 3 ; Tcritical = 2.776
Xbar ± standard Error
Standard Error = Tcritical * s/√n
Standard Error = 2.776 * 8.66/√5
Standard Error = 10.751086 = 10.75
Lower boundary = (11 - 10.75) = 0.25
Upper boundary = (11 + 10.75) = 21.75
(0.25 ; 21.75)
The
62. AAA+AA+A= 246 => A= ?
A.1 B.4 C. 2 D.5 E. 8
Answer:
C. 2
Step-by-step explanation:
222 + 22 + 2 = 246
So A = 2
12. If one line passes through the points
(-3,8) & (1,9), and a perpendicular line passes
through the point (-2,4), what is another point
that would lie on the 2nd line. Select all that apply.
A. (-1,0)
B. (2,5)
C. (5,2)
D. (-6,3)
E. (8,-3)
F. (-3,8)
9514 1404 393
Answer:
A, F
Step-by-step explanation:
Points A(-1, 0) and F(-3, 8) lie on the 2nd line. (Its equation is 4x+y=-4.)
Express 72km/h in meter per sec
Answer:
20meter per second is tw correct answer
20 m/s
Step-by-step explanation:
1km/h = 1000m/3600s = 5m/18s
⇒ 72 × 5 ÷ 18 = 20 (m/s)
Solve for all values of x by factoring.'
x2 + 10x + 21 = 0
Answer:
Step-by-step explanation:
2x+10x=12x
12x=-21
x=-1.75
Answer:
x=-7,-3
Step-by-step explanation:
x2+10x+21
(x+7)(x+3)
x=-7,-3
NEED HELP FAST CLICK TO SEE PLS
Answer:
Last Option
Step-by-step explanation:
Last one because the dot on top of the 4 is filled in and that means it can also equal 4. The rest of the line is going to the right of the 4 so x will be more than 4. The little line below the more than sign means it can also equal 4. Hope this helped :)
Answer:
Option D, x ≥ 4
Step-by-step explanation:
Rule 1: Closed circle: the inequality sign with a line at the bottom, its called greater than or equal to (≥), and less than or equal to (≤), that means that the number 4 is included in the data set.
Rule 2: Since the line is going to the right of 4, there are values greater than 4 in the data set which means x (any value) has to be greater than 4.
So bringing both rules together the equation would be: x ≥ 4
Hope this helps!
25x to the 2nd power minus 49
Answer:
(5x+7) (5x-7)
Step-by-step explanation:
you can look up the answer on symbolab if needed
Anybody know the answer to this it would be very helpful
Answer:
The cost for 4 snacks is 18 dollars.
Cost for x snacks: 4.5x
Step-by-step explanation:
4 x 4.5 = 18
Answers:
Cost for 4 snacks = 70 dollarsCost for x snacks = 4.50x+52 dollarsThe algebraic expression shown above is the same as writing 52+4.50x
You may not need to type in "dollars" or a dollar sign, as your teacher may just want the numbers and algebraic symbols.
=====================================================
Explanation:
There are four people going to the movies, and each ticket costs $13 a piece, so that means the total so far is 4*13 = 52 dollars.
If we want to include snacks, then it costs $4.50 per snack. Buying 4 packages will cost an additional 4.50*4 = 18 dollars. In total, if Kiran wants to buy four snacks, then he'll need 52+18 = 70 dollars.
---------------------
Instead of computing 4.50*4 to get 18, we can leave the "4.50*4" like it is. Adding it onto the 52 found earlier leads to the expression 52+4.50*4
Now imagine that instead of "4", we just had a generic placeholder x take over. The x is standing in for any positive real number, or it could stand in for 0 if Kiran decides to not buy any snacks at all.
If we replace that "4" with x, then the expression
52+4.50*4
is the same as
52+4.50*x
Often times, you'll see the multiplication symbol omitted and the expression could look like 52+4.50x
Because we can add two numbers in any order, that expression above is the same as 4.50x+52
-------------------
Extra info (optional section):
The useful thing about something like 4.50x+52 is that we can graph y = 4.50x+52 and/or set up a table to be able to quickly determine how much money it will cost for buying any amount of snacks.
For example, let's say he wants to buy 10 snacks. That means we replace x with 10 and evaluate like so
4.50x+52 = 4.50*10+52 = 45+52 = 97
Buying 10 snacks, on top of the 4 movie tickets, cost $97 in total.
What does Masi help Janya realize?
Masi help Janya realize, that the Janya's family has a long tradition of protecting nature. Option D is the correct option.
What is passage reading?Passage reading is to read a passage carefully to learn about a topic as well as enhance the vocabulary. Some question related to the passage is asked in passage reading.
Summary of the given paragraph,
Janya thinks that the concern of her for the tree or the nature is nonsense as there is no meaning of it.Mesi helped Janya to realize that to protect the environment and grow tree is utmost duty of every human being.Mesi told to Janya about her family, which has a long tradition of protecting nature.Thus, Masi help Janya realize, that the Janya's family has a long tradition of protecting nature. Option D is the correct option.
Learn more about the passage reading here:
https://brainly.com/question/12555695
#SPJ2
ANSWER ASAP DONT SEND A FILE. IS THIS SHAPE A ROTATION, REFLECTION,TRANSLATION, DILATION OR NONE????
Answer:
translation
Step-by-step explanation:
Answer:
I think it's dilation or none
Step-by-step explanation:
A point of sale transaction occurs when a debit card is used to purchase items at a grocery store. Please select the best answer from the choices provided.
Answer:
True or T
I tested on edge
Answer:
Its true
Step-by-step explanation:
right on edg 2022
Comparative financial statement data for Carmono Company follow: This Year Last Year Assets Cash $ 8.50 $ 16.00 Accounts receivable 54.00 47.00 Inventory 97.50 84.40 Total current assets 160.00 147.40 Property, plant, and equipment 237.00 198.00 Less accumulated depreciation 47.20 35.40 Net property, plant, and equipment 189.80 162.60 Total assets $ 349.80 $ 310.00 Liabilities and Stockholders’ Equity Accounts payable $ 58.50 $ 48.00 Common stock 126.00 97.00 Retained earnings 165.30 165.00 Total liabilities and stockholders’ equity $ 349.80 $ 310.00 For this year, the company reported net income as follows: Sales $ 950.00 Cost of goods sold 570.00 Gross margin 380.00 Selling and administrative expenses 360.00 Net income $ 20.00 This year Carmono declared and paid a cash dividend. There were no sales of property, plant, and equipment during this year. The company did not repurchase any of its own stock this year. Required: 1. Using the indirect method, prepare a statement of cash flows for this year. 2. Compute Carmono’s free cash flow for this year.
A survey found that 25% of people gave up their home phone years ago and only use a cell phone now. If 3,000 people said that they only use a cell phone now, how
many total people were surveyed?
Answer:
12000
Step-by-step explanation:
25/100 = 3000/total people surveyed
total people surveyed = 3000×100 / 25
= 12000 people surveyed