Answer:
Alternative hypothesis:
[tex]\mathbf{H_a = \sigma_1^2 \ne \sigma_2^2}[/tex]
Step-by-step explanation:
Given that:
Sample 1:
Sample size [tex]n_1[/tex] = 10
Sample mean [tex]\overline x_1[/tex] = 79.3
Standard deviation [tex]\sigma_1[/tex] = 22.4
Sample 2:
Sample size [tex]n_2[/tex] = 10
Sample mean [tex]\overline x_2[/tex] = 82.1
Standard deviation [tex]\sigma_2[/tex] = 12.0
To find the alternative hypothesis.
The null and alternative hypothesis can be computed as follows:
Null hypothesis:
[tex]\mathbf{H_o = \sigma_1^2 = \sigma_2^2}[/tex]
Alternative hypothesis:
[tex]\mathbf{H_a = \sigma_1^2 \ne \sigma_2^2}[/tex]
Since, alternative hypothesis is ≠, it shows that it is a two tailed test.
Snow Dome Ski Resort has 75 inches of snow. It is currently snowing there at a rate of 1 inch per hour. Mt. Winterpark Ski Resort has 68 inches of snow. Currently it is snowing there at a rate of 2 inches per hour.
a) Make a table or a graph showing the amount of snow from 0 to 10 hours at each resort if the snow continues falling at this rate.
b) Indicate on your table or graph where the amount of snow will be the same at both resorts.
Answer:
a. See explanation for table
b. The 7th hour
Step-by-step explanation:
Given
Ski Resort
[tex]Base\ Snow = 75in[/tex]
[tex]Rate = 1in[/tex] hourly
Mt. Winterpark
[tex]Base\ Snow = 68in[/tex]
[tex]Rate = 2in[/tex] hourly
First, we need to illustrate the amount of snow as an equation in both cases.
[tex]Amount = Base\ Snow + Rate * Time[/tex]
Let x be number of hours. and y be the amount of snow
So:
Ski Resort
[tex]y= 75 + 1* x[/tex]
[tex]y= 75 + x[/tex]
Mt. Winterpark
[tex]y= 68 + 2 * x[/tex]
[tex]y= 68 + 2x[/tex]
Next, we make a table to show the data.
When [tex]x = 0[/tex]
Ski Resort: [tex]y = 75 + 0 = 75[/tex]
Mt. Winterpark: [tex]y = 68 + 2(0) = 68[/tex]
When [tex]x = 1[/tex]
Ski Resort: [tex]y = 75 + 1 = 76[/tex]
Mt. Winterpark: [tex]y = 68 + 2(1) = 70[/tex]
When [tex]x = 2[/tex]
Ski Resort: [tex]y = 75 + 2 = 77[/tex]
Mt. Winterpark: [tex]y = 68 + 2(2) = 72[/tex]
When [tex]x = 3[/tex]
Ski Resort: [tex]y = 75 + 3 = 78[/tex]
Mt. Winterpark: [tex]y = 68 + 2(3) = 74[/tex]
When [tex]x = 4[/tex]
Ski Resort: [tex]y = 75 + 4 = 79[/tex]
Mt. Winterpark: [tex]y = 68 + 2(4) = 76[/tex]
When [tex]x = 5[/tex]
Ski Resort: [tex]y = 75 + 5 = 80[/tex]
Mt. Winterpark: [tex]y = 68 + 2(5) = 78[/tex]
When [tex]x = 6[/tex]
Ski Resort: [tex]y = 75 + 6 = 81[/tex]
Mt. Winterpark: [tex]y = 68 + 2(6) = 80[/tex]
When [tex]x = 7[/tex]
Ski Resort: [tex]y = 75 + 7 = 82[/tex]
Mt. Winterpark: [tex]y = 68 + 2(7) = 82[/tex]
When [tex]x = 8[/tex]
Ski Resort: [tex]y = 75 + 8 = 83[/tex]
Mt. Winterpark: [tex]y = 68 + 2(8) = 84[/tex]
When [tex]x = 9[/tex]
Ski Resort: [tex]y = 75 + 9 = 84[/tex]
Mt. Winterpark: [tex]y = 68 + 2(9) = 86[/tex]
When [tex]x = 10[/tex]
Ski Resort: [tex]y = 75 + 10 = 85[/tex]
Mt. Winterpark: [tex]y = 68 + 2(10) = 88[/tex]
Hence, the table is:
x ---- Ski Resort ---- Mt. Winterpark
0 --------75 ----------- 68
1 --------76 ----------- 70
2 --------77 ----------- 72
3 --------78 ----------- 74
4 --------79 ----------- 76
5 --------80 ----------- 78
6 --------81 ----------- 80
7 --------82 ----------- 82
8 --------83 ----------- 84
9 --------84 ----------- 86
10 -------85 ----------- 88
(b)
From the table, the amount of snow is the same at the 7th hour and the snow is 82 inches
A ball is thrown from a height of 130 feet with an initial downward velocity of 6ft/s. The ball's height h (in feet) after t seconds is given by the following.
h=130-6t-16t^2
How long after the ball is thrown does it hit the ground?
See attachment for math work.
Tali is trying to find the thickness of a page of his telephone bookTo do this, he takes a measurement and finds out that 550 pages measure 1.25 inches. What is the thickness of one page of the phone book ?
Answer:245
Step-by-step explanation:
hope this helps
Jalen had read 14 chapters out of the book .. if this is 56% of the chapters, how many chapters are in the book?
Answer:
25 Chapters
Step-by-step explanation:
We are given:
Number of Chapters read = 14
Percentage of Book finished = 56%
Number of Chapters in the Book:
Since 56% of 'x' chapters is 14:
[tex]x*\frac{56}{100}[/tex] = 14
[tex]x = \frac{14 * 100}{56}[/tex] [multiplying both sides by 100/56]
[tex]x = \frac{100}{4}[/tex] [since 14*4 = 56]
x = 25
Therefore, the book has 25 chapters
Answer:
The book has a total of 25 chapters.
Step-by-step explanation:
We are given that Jalen has read 14 chapters of his book. We are also given that 14 chapters is 56% of the entire book. We need to find how many chapters are in the book.If 14 is 56% of the book, we can set up a proportion that can find the total number of chapters in the book.
A proportion looks like:
[tex]\displaystyle \frac{a}{b} = \frac{c}{d}[/tex]Our first fraction will be the two values we are given: 14 chapters and 56% of the book.
[tex]\displaystyle \frac{14}{56}[/tex]Then, our second fraction will contain an unknown variable. We would need to complete this many chapters to complete the book, so 100% of the book would be read once a certain number of chapters are reached. Therefore, we don't know how many chapters are needed to complete the book, so this is our unknown variable. We can define this as x.
Therefore, our second fraction is:
[tex]\displaystyle \frac{x}{100}[/tex]Now, we can set these fractions equal to each other.
[tex]\displaystyle \frac{14}{56} = \frac{x}{100}[/tex]Then, we can cross multiply our fractions to create an equation. Following our sample proportion, we would get:
[tex]{ac = bd}[/tex]So, we can follow the same policy with our proportion.
[tex]\displaystyle (14)(100) = (56)(x)\\\\1400 = 56x\\\\56x = 1400\\\\\frac{56x}{56} = \frac{1400}{56}\\\\x = 25[/tex]
Therefore, 56% of the book is 14 chapters. With this information, we have determined that 100% of the book is 25 chapters.
leo reads 14 pages in 1/3 hour what is the unir rate for pages per page
Answer:
3 cause it's 3 and 1 .
Step-by-step explanation:
njejekjwne jehwbwh whehwj
LAST QUESTION PLEASE HELP FAST ILL GIVE MY LAST POINTS FOR CORRECT ANSWER
Answer:
70° and 20°
Step-by-step explanation:
trust me and mark me brainliest
3,000 ÷ 50=300 ÷ 5 =?
A store sells shirts at a price of 2 for $5.00. At this price, how much do 7 shirts cost?
Answer:
$17.50
Step-by-step explanation:
2 goes into 7 3 times, and 5 times 3 is $15.00, so theres one shirt left. If 2 shirts cost $5, one will cost $2.50. So, 15+2.50= $17.50
Is there a proportional relationship between x and y? Explain.
8 10 12 14
х
y
5
9
11
A.
Mo
at 2
No; all ratios
are not equivalent.
B.
Yes; each x value and y value increases by 2.
C.
Yes; the difference between each x value and y value is 3.
D
202
No; all ratios
are greater than 1.
Answer:
The answer is B. Hope it helps :)
Dalia used a balancing move to begin to solve the
equation below.
6x + 12 = 10x - 4
The result of Dalia's first step was 12 = 4x – 4.
Describe the first step Dalia made to solve the equation.
Find a set of parametric equations of the line with the given characteristics. (Enter your answer as a comma-separated list of equations in terms of x, y, z, and t.) The line passes through the point (3, 1, 2) and is parallel to the line given by x
This question is incomplete, the complete question is;
Find a set of parametric equations of the line with the given characteristics. (Enter your answer as a comma-separated list of equations in terms of x, y, z, and t.) The line passes through the point (3, 1, 2) and is parallel to the line given by x = y = z.
Answer:
the set of parametric equations of the line with the given characteristics are; x = t+3, y = t+1, z = t+2
Step-by-step explanation:
Given that;
line x = y = z and point ( 3, 1, 2 )
the given line can be written as;
[x-0 / 1] = [y-0 / 1] = [z-0 / 1]
if two lines are parallel directional ratios are equal.
so DIRECTIONAL RATIOS of given line is ( 1, 1, 1 )
therefore required line is;
[x-3 / 1] = [y-1 / 1] = [z-2 / 1] = t
⇒ [x-3 / 1] = t
x = t+3
[y-1 / 1] = t
y = t+1
[z-2 / 1] = t
z = t+2
Therefore the set of parametric equations of the line with the given characteristics are; x = t+3, y = t+1, z = t+2
What is the z-statistic for the sample? Round the answer to the nearest hundredth. z =
Answer:
What is the z-statistic for the sample? Round the answer to the nearest hundredth.
z =
2.07Step-by-step explanation:
on edge :)
Answer:
2.07
Step-by-step explanation:
Use the Venn diagram below. How many students play soccer and baseball, but not volleyball? How many play exactly two sports?
Soccer
Baseball
7
3
8
4
2
5
Volleyball
A 3; 12
B. 3: 14
C. 5:14
Answer:
A. 3;12
Step-by-step explanation:
in the crossover between the baseball section and the soccer section it shows 3 people who play those two sports. those crossovers are with people who play exactly 2 sports, if you add them all 3+5+4 you get 12 people who play only 2 sports.
Is it possible to solve 1+1 in a algebraic form?
Answer:
i dont think so but 1+1=
baby 1 see theirs a daddy 1 and a mommy 1 so that =baby 1
Step-by-step explanation:
Would like to help me with my math homework?
Math homework is on College for Readiness
High School
Answer:
I could try to help
Step-by-step explanation:
ASAP!!!!!!!!!! List three figures that you have learned about estimating area
The cost to rent a moving van is $61 plus an additional $26 per hourIf a moving van rented for 17 hours, what is the cost? Write and solve an equation to find the answer.
Answer:
y = 503
Step-by-step explanation:
y=mx+b
y=26(17)+61
y=442+61
y=503
Which number is bigger: 1.58 or 1.025
Answer:
1.58 is bigger than 1.025
Step-by-step explanation:
Answer:
1.58 is greater
Step-by-step explanation:
because just compare the digits...in once place both are having same no. but in tenths place they are different since 5 is greater than 0
9/10 of alien races think invading Earth is a bad idea.
What percentage of alien races think invading Earth is a bad idea?
____%
find slope please help
Answer:
slope = -5/2
Step-by-step explanation:
rise/run
down 5
right 2
WILL GIVE BRAINLYEST
Make an inequality in standard fom with two variables and explain a real world
Situation that may apply.
Explain how you would graph the inequality
Answer:
The graph of an inequality in two variables is the set of points that represents all solutions to the inequality. A linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality. The boundary line is dashed for > and < and solid for ≤ and ≥.
Step-by-step explanation:
Three students are arguing over who can run the fastest. Student A says that she can run 2/3 mile in six minutes. Student B says that he can run 1/2 mile in four minutes. Student C says that he can run 4/5 mile in eight minutes. Type your answer as a number. Fractions should be expressed in lowest terms. What fraction of a mile can Student B run in one minute?
Answer:
student A- can run 2/3 mile in six minutes
1/9 mile/min
student B- can run 1/2 mile in 4 minutes
Speed=1/8 mile/min
student C- can run 4/5 mile in 8 minutes
speed=1/10 mile/min
Step-by-step explanation:
find the slope of the line please help!
Answer:
3/8 or .375
Step-by-step explanation:
3 x ?
= -12
Please help
Answer:
-4
Step-by-step explanation:
Positive times a negative equals a negative.
3 × 4 = 12 so 3 × -4 = -12
Answer:
-4
Step-by-step explanation:
Help please!! This is timed. I’ll give brainliest also!
Answer: Relation 1 Function Relation 2 Not a function Realtion 3 Not a function Relation 4 Not a function
Step-by-step explanation: Ok this is a right answer
SOMEONE, PLEASE HELP LITERALLY STRUGGLING!!!!!!
Circle 1 represents students involved with drama after school, circle 2 represents students involved in sports, and circle 3 represents students in academic club activities. What can you conclude about students who fit in region B?
A.
Region B represents the students involved in sports only.
B.
Region B represents the students involved in sports and academic clubs.
C.
Region B represents the students involved in drama and sports.
D.
Region B represents the students not involved in academic clubs.
Please select the best answer from the choices provided
A
B
C
D
Answer:
A
Step-by-step explanation:
Vanya collects vintage albums. Each storage unit holds 16 albums. She gave 3 albums to her cousin as a graduation present. Which function shows the relationship between y, the
total number of albums she has remaining, and x, the number of storage units Vanya owns?
A. Y=16x
B. Y=16x+3
C. Y=13x
D. Y=16x-3
Answer:
Step-by-step explanation: do y’all know answer
Answer:
d
Step-by-step explanation:
If mZMRT = 133º , then which equation can be used to find g?
Answer:
D
Step-by-step explanation:
We know that MRT = 133 which means that is the total. Angle MRN and NRT are what makes the total angle which is 133. To find what each angle is individually, we can add them both together.
(2g - 2) + (4q - 9) = 133
6q - 11 = 133
6q = 144
q = 24
Best of Luck!
D. (2g - 2)+(4g -9) = 133
Because,
Given, angle MRT = 133°
and MRN = 2g - 2 °
and NRT = 4g - 9°
and MRT = MRN + NRT .........(equation (i))
Placing values in equation (i) we get,
133° = (2g - 2)° + (4g - 9)°
=> 133 = (2g - 2) + (4g - 9)
=> (2g - 2) + (4g - 9) = 133
What is 2/3 - 2/5 =
Answer:
2/3 - 2/5 = 4/15
Step-by-step explanation: 2/3 x 5/5 = 10/15 2/5 x 3/3 = 6/15
Hope this helps!
g(x) = -4x2 + 4x – 2
What is the maximum or minimum step by step
We want the maximun or minimum of [tex]g(x)=-4x^2+4x-2[/tex]
Firstly, notice that we have a leading coefficient of -4, wich means our parabola is concave down. Thus, our function will have a maximum.
To find what is the maximum, let's firstly find on wich value of x it happens. We'll start by taking the first derivative of the function:
[tex]g'(x)=-8x+4[/tex]
To find the extremes of the function, we just need to find where the derivative equals zero. Setting g'(x)=0 we have
[tex]0 = -8x+4\\8x=4\\x=\frac{1}{2}[/tex]
So we found that the x coordinate of the maximum is x=1/2. To find the y coordinate we just need to substitute the value of x into the original function.
[tex]g(1/2)=-4(1/2)^2+4(1/2)-2\\g(1/2)=-1+2-2\\g(1/2) = -1[/tex]
Therefore, the maximum point [tex]M[/tex] of the function is
[tex]\boxed{M=(0.5,-1)}[/tex]
Glad to help! Wish you great studies.
If you found this helpful consider giving this answer brainliest ;)