Answer:
The p value is: 0.0301
Step-by-step explanation:
Given
[tex]\mu = 131520[/tex]
[tex]\bar x = 124247[/tex]
[tex]n = 30[/tex]
Required
Determine the p value
First, calculate the standard deviation of the given data.
This is calculated as:
[tex]\sigma = \sqrt{\frac{\sum(x - \bar x)^2}{n}}[/tex]
So, we have:
[tex]\sigma = \sqrt{\frac{(83700 - 124247)^2 + (84380- 124247)^2 + (89380- 124247)^2 + ..... + (156920- 124247)^2 + (168370- 124247)^2}{30}}[/tex]
[tex]\sigma = \sqrt{\frac{13427820070}{30}}[/tex]
[tex]\sigma = \sqrt{447594002.333}[/tex]
[tex]\sigma = 21156[/tex]
The test statistic is then calculated as:
[tex]t = \frac{\bar x - \mu}{\sigma/\sqrt n}[/tex]
[tex]t = \frac{124247 - 131520}{21156/\sqrt{30}}[/tex]
[tex]t = \frac{-7273}{21156/5.48}[/tex]
[tex]t = \frac{-7273}{3860.58}[/tex]
[tex]t = -1.88[/tex]
The p value is calculated as:
[tex]P(Z > -1.88)[/tex]
[tex]P(Z>-1.88) = 0.030054[/tex]
[tex]P(Z>-1.88) = 0.0301[/tex] --- approximated.
Hence, the p value is: 0.0301
given that alpha and beta are roots of the quadratic equation ax²+bx+c=0, show that alpha+beta=-6÷a and alphabeta=c÷a
Answer:
[tex]\alpha + \beta = -\frac{b}{a}[/tex]
[tex]\alpha \beta = \frac{c}{a}[/tex]
Step-by-step explanation:
Given
[tex]ax^2 + bx + c = 0[/tex]
[tex]Roots: \alpha \& \beta[/tex]
Required
Show that:
[tex]\alpha + \beta = -\frac{b}{a}[/tex]
[tex]\alpha \beta = \frac{c}{a}[/tex]
[tex]ax^2 + bx + c = 0[/tex]
Divide through by a
[tex]\frac{a}{a}x^2 + \frac{b}{a}x + \frac{c}{a} = \frac{0}{a}[/tex]
[tex]x^2 + \frac{b}{a}x + \frac{c}{a} = 0[/tex]
The general form of a quadratic equation is:
[tex]x^2 - (Sum)x + (Product) = 0[/tex]
By comparison, we have:
[tex]-(Sum)x = \frac{b}{a}x[/tex]
[tex]-(Sum) = \frac{b}{a}[/tex]
Sum is calculated as:
[tex]Sum = \alpha + \beta[/tex]
So, we have:
[tex]-(\alpha + \beta) = \frac{b}{a}[/tex]
Divide both sides by -1
[tex]\alpha + \beta = -\frac{b}{a}[/tex]
Similarly;
[tex]Product = \frac{c}{a}[/tex]
Product is calculated as:
[tex]Product = \alpha * \beta[/tex]
So, we have:
[tex]\alpha * \beta = \frac{c}{a}[/tex]
[tex]\alpha \beta = \frac{c}{a}[/tex]
Parka's and more was having a 10% off sale. Find the amount saved on a rain jacket that regularly costs $74.00.
Answer:
7.4
Step-by-step explanation:
10% of 74 is 7.4 by moving the decimal over one place. This will save them $7.40
BC is included between?
Answer:C
Step-by-step explanation: goobaldy gock
Answer:
the answer is B not C you're welcome
Which of the following sentences describes an equilateral triangle?
A:
Two sides are the same length.
B:
Each angle is less than 90 degrees.
C:
One of the angles equals 90 degrees.
D:
The lengths of all three sides are the same.
Please help!!!!!!!!!!!! Bbb
Answer:
2x+1
Step-by-step explanation:
the second answer
Ethan purchased a new cell phone for $75.00. The costs of the phone is included in his first month's bill. His cell phone plan charges $0.06 for each minute used.
if Ethan has $90.00 to spend on his first month's bill, what is the maximum number of minutes he can use?
A. 80 minutes
B. 250 minutes
C. 1,250 minutes
D. 1,500 minutes
Answer:1,250
Step-by-step explanation:
1. −5tan 2 θ+3=8tanθ+6
2. 2cosθ-3=5cosθ-5
Answer
(tan x + 3)=5
Step-by-step explanation:
Brianna measures the temperature of two chemical samples. If the first sample measures -8 degrees Celsius and the second sample measures 24 degrees Celsius, what is the average temperature of the two samples? *
Answer: + 8 degrees
Step-by-step explanation: average (-8+24)/2= 16/2 degrees
Pls help me if I cabbnnnnsbdhdhdjdjxjkxx
Answer:
33.49 mm³
Step-by-step explanation:
The formula of volume of sphere
[tex] = \frac{4}{3} \pi {r}^{3} [/tex]
The volume of the sphere
[tex] = \frac{4}{3} \times 3.14 \times {2}^{3} [/tex]
[tex] = \frac{100.48}{3} [/tex]
[tex] = 33.4933333...[/tex]
= 33.49 mm³ (rounded to the nearest hundredth)
please help quick please
Answer:I need help with the same thing.
Step-by-step explanation:
Answer:
I want to say it is b but yeah not sure.
hope I am right
T what do you guys think of this (I know this is for help with math but I have no socail media.)
Answer:
This is very cute.
Step-by-step explanation:
Answer:
Cute
Step-by-step explanation:
Complete the square to find
the vertex of this parabola.
x2 - 6x – y + 17 = 0
Answer:
(3, 8)
Step-by-step explanation:
x² - 6x - y + 17 = 0
x² - 6x = y - 17
x² - 6x + 9 = y - 17 + 9
(x - 3)² = y - 8
The vertex is (3, 8)
The vertex of the parabola given by the equation x² - 6x - y + 17 = 0 is (3, 8).
To complete the square and find the vertex of the parabola given by the equation x² - 6x - y + 17 = 0, we can follow these steps:
1. Rearrange the equation: Move the constant term (17) to the other side of the equation by subtracting it from both sides. This gives us x² - 6x - y = -17.
2. Group the x-terms together: Rearrange the equation so that the x-terms are next to each other. This gives us x² - 6x = y - 17.
3. Complete the square: Take half of the coefficient of x (-6) and square it. Add this value to both sides of the equation. Half of -6 is -3, and (-3)² is 9. So we add 9 to both sides: x² - 6x + 9 = y - 17 + 9.
4. Simplify the equation: On the left side, the expression x² - 6x + 9 can be factored as (x - 3)². On the right side, -17 + 9 simplifies to -8. So the equation becomes (x - 3)² = y - 8.
5. Rewrite the equation in vertex form: The vertex form of a parabola is (x - h)² = 4p(y - k), where (h, k) represents the vertex of the parabola. Comparing this with our equation, we have (x - 3)² = y - 8, which matches the vertex form.
6. Identify the vertex: By comparing the equations, we can see that the vertex of the parabola is at the point (h, k) = (3, 8).
Therefore, by completing the square, we have found that the vertex of the parabola given by the equation x² - 6x - y + 17 = 0 is (3, 8).
To learn more about parabolas;
https://brainly.com/question/21685473
#SPJ4
Please help I’ll mark you as brainliest if correct
Answer:
I think it is option B
Step-by-step explanation:
I dont know if I am right
if I am your welcome
Answer:
16.33 inches
Step-by-step explanation:
circumference = πd = (3.14)(5.2) = 16.33 inches
28 divided by 6 is?? I’m in the 7th grade helping my little sis out can remeber this stuff
Answer:
4.6666(repeating)
Step-by-step explanation:
36’s square root is what??? This is literally due in 15 minutes!
Answer:
square root of 36 is 6
Step-by-step explanation:
because 6 x 6 =36
Answer:
the square root is of 36 is 6
SOME HELP HERE PLEASE?!!
Solve for x:
x+2 / x+5 = 2/3
A. -11
B. - 3
C. 2
D. 3
E. 4
Thanks!!
Step-by-step explanation:
Your answer is 4. Hope you like my answer.
Answer:
x+2 / x+5 = 2/3
2x + 10 = 3x + 6
•°• x =4
correct option → E
Hope it helped :)
\frac{5}{2}\mathrm{g}-\frac{1}{2}\mathrm{g}= 2 5 g− 2 1 g simlily
Answer:
ok
Step-by-step explanation:
Johnson Electronics makes calculators. Consumer satisfaction is one of the top
priorities of the company’s management. The company guarantees the refund of
money or a replacement for any calculator that malfunctions within two years from
the date of purchase. It is known from past data that despite all efforts, 12% of the
calculators manufactured by this company malfunction within a 2-year period. The
company recently mailed 550 such calculators to its customers.
a. Find the probability that exactly 32 of the 550 calculators will be returned for
refund or replacement within a 2-year period.
b. What is the probability that 30 or more of the 550 calculators will be returned for
refund or replacement within a 2-year period?
a. What is the probability that 15 to 35 of the 550 calculators will be returned for
refund or replacement within a 2-year period?
Answer:
later ill answer this .. read and understand
1x5x89x78x0x6x8x67x87x897x7799
Answer:
just use the calculator
The answer is 0 because the equation has something being multiplied by zero, and anything multiplied by 0 is 0, and the same applies to any subsequent multiplications..
Joanna needs a book to prop up a table leg. There are 8 Math books, 4 science books, and 5 history books. She
randomly selects a book, removing it from the shelf, and then selects another book. What is the probability that
Joanna selected two math books?
Answer:22% or 64/289
Step-by-step explanation: you take 8/17 which is math books over the total of books and multiply it together. simplify into a percent (if thats allowed)
8/17 x 8/17 = 64/289
The origin of a coordinate plane is (0,0)
True or False
Answer:
true
hope it is helpful to you
Answer:
The Answer is gonna be True
HELPP!!! 65 points GIVIN
its 3 1/4 you will thank me later :)
Answer:
the third one
3 1/4
Step-by-step explanation:
Find the area of the following parallelogram:
Answer:
216
Step-by-step explanation:
18 which is the base will be multiplied by the height which is 12 giving you
18 x 12 = 216
solve 4z+6v=124z+6v=12 for vv
Answer:
fish stick :DDDD funny
Step-by-step explanation:
4z +6v = 12z + 6v = 12 :? there is something fishy going on here :/ what did you mean to ask in the question??
look at pic 10 pts will mark brainilest
Answer:
the answer is 3
Step-by-step explanation:
3x4 equals twelve and twelve minus two is ten so the answer is a: 3
also next time be truthful because you said 10 points But this question is only 5.
YOURE VERY LUCKY I DECIDED TO HELP U.
A right triangle has a height of 18 inches and a base of 12 inches. Find the area of the triangle in square inches. Enter only the number. The solution is
Answer:
A=108in^2
Step-by-step explanation:
The area of a triangle is given by:
[tex]a = \frac{b \times h}{2} [/tex]
So,
[tex]a = \frac{12 \times 18}{2} = 108 \: {in}^{2} [/tex]
Review
Francisco v
O GRAPHING. FUNCTIONS, AND LINEAR SYSTEMS
Solving a word problem involving a sum and another basic...
A textbook store sold a combined total of 432 physics and biology textbooks in a week. The number of physics textbooks sold was 60 more than the number of
biology textbooks sold. How many textbooks of each type were sold?
Answer:
246 physics books
186 biology books
Step-by-step explanation:
1) there are 432 total books
2) there are 60 more physics books than biology books
3) 432 - 60 = 372
4) 372 divided by 2 = 186
5) 432 - 186 = 246
Check:
246 + 186 = 432
246 - 186 = 60
hope this helped :)
Plssss help what is x
Answer:
x = 4
Step-by-step explanation:
If you do not want to read the explanation go the the next part in bold
Ok so the shorter leg of the triangle is a radius of the circle. ( This is indicated by the point in the middle of the circle.) for the hypotenuse we are given one part of the length (2) The other part also happens to be a radius ( remember that a radius is a line that starts from the center of the triangle to any point of the circumference. ) Also remember that the radius is equal to 3. That being said the hypotenuse = 2+3 which equals 5.
This triangle then happens to be a right triangle. ( A triangle formed by a tangent line and a radius is a right triangle.) This means that we can use the Pythagorean theorem to solve for x.
Below here is where the work is shown
a² + b² = c². where a and b = legs and c = hypotenuse. We are given the hypotenuse (5) and a leg (3) So we plug in what we are given and solve for the missing information. 5² = 3² + b²
5² = 25
3² = 9
we would then have 25 = 9 + b²
Next we subtract 9 from each side
25 - 9 = 16
9 - 9 cancels out
Now we have 16 = b²
finally we want to get rid of the ²
To do so we take the square root of each side
[tex]\sqrt{16}=4\\\sqrt{b^2}=b\\b = 4[/tex]
we're left with b = 4 which means that x = 4
Which of the following is the solution to 8 - 3x =41
A) X=11
B) x=16
C) X=-5
x=-11
Answer:
x = -11
Step-by-step explanation:
Because 3 x -11 = -33 and
8 -(-33 = 41
Answer:
x=-11
Step-by-step explanation:
8_3x=41
_3x=41-8
_3x=33
Scroll on _3x For both parties
x=11
runs 12 miles in 90 minutes. How many minutes does he take per mile?
Answer:
7.5
Step-by-step explanation:
90 divided by 12