Answer:
Yes its true
Calculated value F = 3.264 > 2.32 at 0.1 level of significance
Null hypothesis is rejected
alternative hypothesis is accepted
The population variances are not equal
Step-by-step explanation:
Step(i):-
Given first sample size 'n₁ = 13
Mean of the first sample = 59.5 min
Standard deviation of the first sample (S₁) = 7.4min
Mean of the second sample = 64.3 min
Standard deviation of the second sample( S₂ ) = 13.2min
Null hypothesis :H₀: σ₁² = σ₂²
Alternative Hypothesis : H₁ : σ₁² ≠ σ₂²
Degrees of freedom
ν₁ = n₁ -1 = 13 -1 = 12
ν₂ = n₂ -1 = 10 -1 = 9
Step(ii):-
Null Hypothesis H₀ : σ₁² = σ₂²
Alternative Hypothesis : H₁ : σ₁² ≠ σ₂²
Test statistic
[tex]F = \frac{S_{2} ^{2} }{S^{2} _{1} }[/tex]
Given sample standard deviations are given
we have to determine the Population variances S₁² and S₂²
n₁ s₁² = (n₁-1) S₁²
13 ( 7.4)² = ( 13-1) S₁²
S₁² = 59.32
n₂ s₂² = (n₂-1) S₂²
10 ( 13.2)² = ( 10-1) S₂²
S₂² = 193.6
Step(iii):-
Test statistic
[tex]F = \frac{S_{2} ^{2} }{S^{2} _{1} } = \frac{193.6}{59.3} = 3.264[/tex]
F = 3.264
F( 12 , 9 ) = 2.32
Calculated value F = 3.264 > 2.32 at 0.1 level of significance
Null hypothesis is rejected
alternative hypothesis is accepted
The population variances are not equal
Which of the following choices will simplify (2 + 6) . 12.3+19
Answer:
(2+6=8) and 12.3+19=21.3 hope this helps
Step-by-step explanation:
KALON AND HIS FRIEND
CAN CLEAN A 20 FOOT CHIMNEY IN ONE 1 5/7 HOURS. kALON CAN CLEAN A CHIMNEY IN 4 HOURS. HOW LONG DOES IT TAKE MY FRIEND TO CLEAN A CHIMNY BY HIMSELF?
Answer:
IR= 12/7
Step-by-step explanation:
Leon already knew 24 appetizer recipes before starting culinary school, and he will learn 2 new appetizer recipes during each week of school. After how many weeks of culinary school will Leon know a total of 100 appetizer recipes?
Answer: It will take him 38 weeks.
Step-by-step explanation:
We will model the situation by an equation.
Leon already knew 24 appetizer recipes so it will be permenant. He will learn to more each week so we can achieve the expression . 24 + 2x where x is the number of weeks.
If we want to know the number of weeks it will take him to learn 100 appetizer recipes then we will have to set the equation equal 100.
24 + 2x = 100 Now solve for x
-24 -24
2x = 76
x = 38
How many times can 5 go into 33
Answer:
6 times
Step-by-step explanation:
33÷5
5×5= 25 too little
5×6=30 just right
5×7= 35 too much
Answer:
5,10,15,20,25,30,3- oh wait its only 6 mate... but for a full answer, it would be 6.2
Step-by-step explanation:
i think...
PLEASE HELPP!!! ITS REALLY IMPORTANT
Answer:
what do you need no one can help if you don't say what you need
Step-by-step explanation:
Answer:
70
Step-by-step explanation:
trust me
use rectangle ABCD SITH DIAGONAL DB FIND THE MEASURE OF THE ANGLE MARKED X
Answer:
90+56=146
180-146=34
Step-by-step explanation:
Which of the following statements best describes our Sun?
Answer:
the sun is the closest star to earth.
Answer:
the sun is the closet sun to the earth
Step-by-step explanation:
9.8x7.6 multiple I need help please
Answer:
74.48
Step-by-step explanation:
Just Multiply 9.8 and 7.6
Answer:
74.48
Step-by-step explanation:
9.8x7.6= 74.48
All you need to do is line up the numbers and multiply like normal if you get a ten or higher it will go to the next number up
PLZ HELP FAST MIGHT BE EASY
Answer:
Equality and constant I think
Step-by-step explanation:
Greetings!
"What is the general process for solving an equation with one variable?"...
Typically when solving an equation with one variable, your objective is to isolate the variable on one side of the equation. This can be done adding/subtracting number to cancel them out on one side. You can also multiply/divide coefficients in order to isolate a variable.
Example:
2x+4=64
Add -4 to both sides to isolate the variable.
(2x+4)+(-4)=(64)+(-4)
Simplify.
2x=60
Divide both sides by 2 to isolate the variable on one side.
(2x)/2=(60)/2
x=30
Hope this helps.
solve for x: x+2/3= - 1/6. Enter your simplified answer in the box. X =□ Working on it now
A student memorized the statement the product of any rational number and any irrational number is irrational. Label this statement as true or false, and explain your reasoning. A) True. For example, 3 ·5 is irrational, 7 · 2 3 is irrational, and (π)·(−4) is irrational. B) False. Suppose an irrational times a rational = rational, then irrational = rational rational . This means irrational = rational, which is a contradiction.Thus an irrational times a rational = rational. C) True. Suppose an irrational times a rational = rational, then irrational = rational rational . This means irrational = rational, which is a contradiction.Thus an irrational times a rational = irrational. D) False. The rational number cannot be zero. Suppose an irrational times a nonzero rational = rational, then irrational = rational nonzero rational . This means irrational = rational, which is a contradiction. Thus an irrational times a nonzero rational = irrational.
Answer:
A) True. For example, 3 ·5 is irrational, 7 · 2 3 is irrational, and (π)·(−4) is irrational.
Step-by-step explanation:
Answer:
its d
Step-by-step explanation:
Sixty percent of a class is girls. If here are 18 girls in a class, then how many total students are there?
Answer:
30 students
Step-by-step explanation: If 60% is 18, then 10% wold be 3. And we know that 10% multiplied by 10 is 100%. Therefore 3 multiplied by 10 should be euqal o the total amount of students. And since 10% times 3 is 30, there are 30 students in total.
Answer:
30 students
Step-by-step explanation:
We can do this question using direct proportion.
"If 18 girls represent 60%, how many students represent 100%?"
18/60=x100
x=18×100/60
30 students altogether.
Chris pays $19.60 for a packof 4 towels. Find the unit price in dollars per towel. If necessary, round your answer to the nearest cent.
Answer:$4.90
Step-by-step explanation:
Find range and domain of...
Look at pic
Answer:
domain (-∞,∞)
range y≤2
Step-by-step explanation:
domain: all real number, range: max value is 2
If a car travels 82 miles in 1.5 hours, how far will it travel in 6 hours
Susan worked 30 hours one week. She deposited $70 in her savings account and had $140 left. How much does Susan earn per hour?
Hi!
Your answer would be: almost $5, but the actual amount is $4.67.
Reason being: when you divide $140 by 30, you get $4.67, and rounding to the nearest number, you get $5.
Therefore, the answer is $4.67
Hope this helps!
Yours truly,
~~~PicklePoppers~~~Alexis sold boxes of homemade granola bars for $8.50 each. It cost her $2.25 to bake and package each box of granola bars. What was her profit from selling each box of granola bars? (profit = price - cost)
Answer: 6.25 is her profit
Step-by-step explanation: cost-price= protect
2.25 - 8.50=6.25
please answer this question i need help
really need help review for my on wensday
Answer:
A is graph 3
B is graph 1
C is graph 2
Step-by-step explanation:
A is graph 3 because it’s says that she begins with at least a total of 80 os the y should not start at 0, instead it should, start at 80 but every time she gets a question wrong the graph keeps going down.
B is graph 2 because it States that Heath has 10 pennies to begin with so the y isnt 0 but 10 and every time she doubles it the graph only goes up.
C is graph 1 because it states that to Exeter a school fair it’s 5 bucks but each ticket cost 50 cents so it starts at 5 then keeps going up.
(I’m 100% sure of A but I’m not really sure about B and C but this is my best guess)
How would I solve this problem using tangent
Tan[theta] = Opposite/Adjacent
Tan[theta] = 56/42
[theta] = Tan^-1 56/42
[theta] = Tan^-1 1.333
[theta] = 53.130
But unless your teacher specified, you can use any of the SOH CAH TOA methods for this.
Please help me asap
Answer:
-8d - 3 + 6 +d
you can't subtract 2d and 3 so you bring what's outside the parenthesis to inside the parenthesis
At the doctor’s office, Martin learns that his heart beats 360 times in 5 minutes.How many does his heart beat per minute?
you deposit 2000 each year into an account earning 3% interest compounded annually. How much will you have in the account in 15 years?
Answer:
It should be $2,900
Step-by-step explanation:
First you convert the percentage to decimal form out of 100
3%/100 = 0.03
A = P(1 + rt)
A = 2000(1 + 0.03 x 15)
Which you should get $2,900 or $2,900.00 (which is pretty much the same thing)
Hope this helps!
When two dice are rolled, 36 equally likely outcomes are possible as shown below.
(1,1) (1,2) (1,3) (1.4) (1,5) (1,6)
(2, 1) (2, 2) (2,3) (2,4) (2,5) (2, 6)
(3, 1) (3, 2) (3,3) (3, 4) (3,5) (3,6)
(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)
(5, 1) (5,2) (5,3) (5, 4)
(5,5)
(5,6)
(6, 1) (6,2) (6,3) (6,4) (6,5)
(6,6)
Let x be the product of the numbers. Let P be the probability of the desired outcome. Compare the following charts and
determine which chart shows the probability distribution for the product of the two numbers.
Answer: chart b
Step-by-step explanation:
2 is only a product of the outcomes 1/18 times
3 is only a product of the outcomes 1/18 times
4 is only a product of the outcomes 1/12 times
5 is only a product of the outcomes 1/18 times
6 is only a product of the outcomes 1/9 times
and so on
The chart that shows the probability distribution for the sum of the two numbers is chart B.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
When two dice are rolled, 36 equally likely outcomes are possible
The sum of the 36 outcomes are as follows: 2, 3, 4, 5, 6, 7, 3, 4, 5, 6, 7, 8, 4, 5, 6, 7, 8, 9, 5, 6, 7, 8, 9, 10, 6, 7, 8, 9, 10, 11, 7, 8, 9, 10, 11, 12
The number of the sums are as follows:
n(2) = 1
n(3) = 2
n(4) = 3
n(5) = 4
n(6) = 5
n(7) = 6
n(8) = 5
n(9) = 4
n(10) = 3
n(11) = 2
n(12) = 1
The probability of the sums are given as follows:
p(2) = 1/36
p(3) = 2/36 = 1/18
p(4) = 3/36 = 1/12
p(5) = 4/36 = 1/9
p(6) = 5/36
p(7) = 6/36 = 1/6
p(8) = 5/36
p(9) = 4/36 = 1/9
p(10) = 3/36 = 1/12
p(11) = 2/36 = 1/18
p(12) = 1/36
Therefore, the chart that shows the probability distribution for the sum of the two numbers is chart B.
To learn more on probability click:
https://brainly.com/question/11234923
#SPJ7
Name three Apex predators
Answer:
lions, tigers, and bears
Step by-step explanation:
They are apex predators because they are on top of the food chain.
WILL GIVE BRAINLIEST!! <33
Temperature is warmest in the __?__
A.high Latitudes
B.mid-Latitudes
C.Low latitudes
Answer:
I think it’s B, Mid-Latitude
Step-by-step explanation:
What is 0.4 as a percent?
Answer:40%
.4 is equal to 40%
Six months ago you won $1,000,000 on a scratch-off lottery ticket and invested your winnings with a financial advisor at the investment firm Dewey, Lie, and Howe. The earnings on the investment are compounded monthly.You complain to the financial advisor that your returns after 6 months are inadequate and do not even cover the advisor's fees. The 6 monthly interest rates (in decimal form) have been R1 = -0.4, R2= 0.67, R3 = 1.0, R4 = -0.5, R5 = 0.2, R6 = -0.165.1. What is the total worth of your investment after 6 months?$The financial advisor responds that you shouldn't complain because the average return over the 6 months has been an impressive 13.4% (0.134 in decimal form). You angrily respond that the average return is not representative of the 6-month investment performance, and that the geometric mean should be used instead.2. What is the geometric mean of the above monthly returns? (express as a decimal; round off to 3 decimal places)geometric mean
Answer:
The total worth of the investment after 6 months is T = $ 1004004
The geometric mean of the above monthly returns is [tex]\= G = 0.001[/tex]
Step-by-step explanation:
From the question we are told that
The growth for each month are
R1 = -0.4, R2= 0.67, R3 = 1.0, R4 = -0.5, R5 = 0.2, R6 = -0.165
The amount invested is [tex]A = \$ 1,000,000[/tex]
The number period of the investment is 6 months
Generally the worth of the investment after each month is
[tex]G_i = G_p * (1 + R_i)[/tex]
Here [tex]G_p[/tex] is the worth of the investment the previous year
[tex]R_i[/tex] is the growth for that month
So considering the first month
[tex]G_1 = G_p (1 + R_1)[/tex]
Here [tex]G_p = A[/tex]
So
[tex]G_1 = 1000000 (1 -0.4)[/tex]
[tex]G_1 = 600000[/tex]
Considering the second month
Here [tex]G_p = 600000[/tex]
So
[tex]G_2 = 600000 (1 + 0.67)[/tex]
=> [tex]G_2 = 1002000[/tex]
Considering the third month
Here [tex]G_p = 1002000 [/tex]
So
[tex]G_3 = 1002000 (1 + 1)[/tex]
[tex]G_3 = 2004000 [/tex]
Considering the fourth month
Here [tex]G_p = 2004000 [/tex]
So
[tex]G_4= 2004000 (1 + -0.5)[/tex]
[tex]G_4= 1002000 [/tex]
Considering the fifth month
Here [tex]G_p = 1002000 [/tex]
So
[tex]G_5= 1002000 (1 + 0.2)[/tex]
[tex]G_5= 1202400 [/tex]
Considering the six month
Here [tex]G_p = 1202400 [/tex]
So
[tex]G_6= 1202400 (1 -0.165)[/tex]
[tex]G_6= 1004004 [/tex]
Generally the total worth of the investment after 6 months is T = $ 1004004
Generally the geometric mean of the monthly returns is
[tex]\= G = \sqrt[n]{ [(1 + R_1 ) * \cdots (1 + R_n)} ]-1[/tex]
Here n represents the number of months which has a value n = 6
So
[tex]\= G = \sqrt[6]{[(1+ (-0.4 )) * (1 + 0.67) * \cdots * (1 + (-0.165))]} - 1[/tex]
[tex]\= G = 0.001[/tex]
A farmer can buy two types of plant food, mix A and mix B. Each cubic yard of mix A contains 35 pounds of phosphoric acid, 15 pounds of nitrogen, and 16 pounds of potash. Each cubic yard of mix B contains 14 pounds of phosphoric acid, 18 pounds of nitrogen, and 64 pounds of potash. The minimum monthly requirements are 840 pounds of phosphoric acid, 540 pounds of nitrogen, and 768 pounds of potash. If x is the number of cubic yards of mix A used and y is the number of cubic yards of mix B used, write a system of linear inequalities that indicates appropriate restraints on x and y. Find the set of feasible solutions graphically for the amounts of mix A and mix B that can be used.
Answer:
The answer is below
Step-by-step explanation:
Given that the minimum monthly requirements are 840 pounds of phosphoric acid, hence:
35 pounds of phosphoric acid mix A + 14 pounds of phosphoric acid mix B ≥ 840 pounds of phosphoric acid
35x + 14y ≥ 840
The minimum monthly requirements are 540 pounds of nitrogen, hence:
15 pounds of nitrogen mix A + 18 pounds of nitrogen mix B ≥ 540 pounds of nitrogen
15x + 18y ≥ 540
The minimum monthly requirements are 768 pounds of potash, hence:
16 pounds of potash mix A + 64 pounds of potash mix B ≥ 768 pounds of potash
16x + 64y ≥ 768
Also, x ≥ 0 and y ≥0.
Therefore the equations are:
35x + 14y ≥ 840
15x + 18y ≥ 540
16x + 64y ≥ 768
x ≥ 0 and y ≥ 0
Plotting with geogebra gives the graph below.
The point are (0,60), (48,0), (18,15), (32,4)
If Maggie has 6 feet of ribbon how many sections of ribbon can she cut that are 2/3 of a foot in length
Answer:
9 sections
Step-by-step explanation:
6÷2/3
6/1×3/2
18/2
9
