Answers
Answer:
It is a function
Step-by-step explanation:
A function states that you must have one output every one input and this is done but with the same output.
Related Questions
A consumer group is testing camp stoves. To test the heating capacity of a stove, they measure the time required to bring 2 quarts of water from 50 degrees to boiling.
Two competing models are under consideration. Thirty-six stoves of each model were tested and the following results were obtained.
Model 1: mean time is 11.4 and standard deviation is2.5
Model 2: mean time is 9.9 and standard deviation is 3.0
Is there any difference between the performances of these two models? {use a .05 level of significance}. Find the p-value of the sample statistic and do a significance test.
Find a 95% confidence interval for the difference of the means.
Answers
Answer:
a
The decision rule is
Reject the null hypothesis
The conclusion is
There is sufficient evidence to show that there is a difference between the performances of these two models
b
The 95% confidence interval is [tex] 0.224 < \mu_1 - \mu_2 < 2.776 [/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 36
The first sample mean is [tex]\= x_1 = 11.4[/tex]
The first standard deviation is [tex]s_1 = 2.5[/tex]
The second sample mean is [tex]\= x_2 = 9.9[/tex]
The second standard deviation is [tex]s_2 = 3.0[/tex]
The level of significance is [tex]\alpha = 0.05[/tex]
The null hypothesis is [tex]H_o : \mu_1 - \mu_2 = 0[/tex]
The alternative hypothesis is [tex]H_a : \mu_1 - \mu_2 \ne 0[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{ (\= x_1 - \= x_2 ) - (\mu_1 - \mu_2 ) }{ \sqrt{ \frac{s_1^2 }{n} + \frac{s_2^2 }{ n} } }[/tex]
=> [tex]z = \frac{ ( 11.4 - 9.9) - 0 }{ \sqrt{ \frac{2.5^2 }{36} + \frac{ 3^2 }{36 } } }[/tex]
=> [tex]z = 2.3[/tex]
From the z table the area under the normal curve to the left corresponding to 2.3 is
[tex]P( Z > 2.3 ) = 0.010724[/tex]
Generally the p-value is mathematically represented as
[tex]p-value = 2 * P( Z > 2.3 )[/tex]
=> [tex]p-value = 2 * 0.010724[/tex]
=> [tex]p-value = 0.02[/tex]
From the value obtained we see that [tex]p-value < \alpha[/tex] hence
The decision rule is
Reject the null hypothesis
The conclusion is
There is sufficient evidence to show that there is a difference between the performances of these two models
Considering question b
From the question we are told the confidence level is 95% , hence the level of significance is
[tex]\alpha = (100 - 95 ) \%[/tex]
=> [tex]\alpha = 0.05[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \sqrt{ \frac{s_1^2 }{n } + \frac{s_2^2}{n}} [/tex]
=> [tex]E = 1.96 * \sqrt{ \frac{2.5^2 }{ 36 } + \frac{ 3^2}{36}} [/tex]
=> [tex]E = 1.276 [/tex]
Generally 95% confidence interval is mathematically represented as
[tex]( \= x_1 - \= x_2) -E < \mu_1 - \mu_2 < ( \= x_1 - \= x_2) + E [/tex]
=> [tex]( 11.4 - 9.9 ) -1.276 < \mu_1 - \mu_2 < ( 11.4 - 9.9 ) + 1.276 [/tex]
=> [tex] 0.224 < \mu_1 - \mu_2 < 2.776 [/tex]
The value of y varies directly with the value of x. When y = 18, x = 3.
What is the value of x when y = 54?
Answers
Answer:
9
Step-by-step explanation:
y is 6 times x, so if you divide 54 by 6, you get 9. Hope this helps :)
A computer's hard disk holds 7.5 * 107 bytes of information. Jaden adds an extra memory stick so he can store a total of 7.75 X 107 bytes of information. The memory stick holds mx 109 bytes of information, where mis and n is
Answers
Answer:
I believe that the awnser is 2.5 and 6
Step-by-step explanation:
Answer:
The other person is right
Step-by-step explanation:
Marsha has 3 rugs. the first rug is 2 meters 87 centimeters long. the second rug has a length 98 centimeters less than the the first. the third rug is 111 centimeters longer than the second rug. what is the difference in centimeters between the length of the first rug and the third?
Answers
Answer:
13 cm
Step-by-step explanation:
rug 1= 2.87 meters or 287 cm
rug 2= 287-98 or 189 cm
rug 3= 189+111 or 300 cm or 3m
300-287=13cm or 0.13m
x+2=7,x=........?Please help
Answers
Answer:
5
Step-by-step explanation:
5 + 2 = 7
please help ASAP please
Answers
2/3 is the answer becuase 72/6 = 12 12/6 = 2/3
Use a table of values to graph the function [tex]f(x) = -2\sqrt[3]{x}[/tex]. Select the correct graph below
Answers
Answer:
the correct graph is B
Step-by-step explanation:
to check, you can see that my graph and graph in answer B both intersects at (-1,2)
John picked 340 oranges. If he had 17 buckets to carry the oranges in, how many oranges would be in each bucket?
Answers
Answer: There would be 20 oranges in each bucket
Step-by-step explanation:
Answer:
20 oranges
Step-by-step explanation:
if john has to distribute the 340 oranges he picked amongst 17 buckets, the equation that represents his situation would be 340/17. just divide and you'll get 20, meaning there's 20 oranges in each bucket.
-2 + 0.4x = -0.2(4x+22)
solve
Answers
(mark brainliest if correct pls)
In the lab, Karen has two solutions that contain alcohol and is mixing them with each other. She uses 3 times as much Solution A as Solution B. Solution A is 10% alcohol and Solution B is 15% alcohol. How many milliliters of Solution B does she use, if the resulting mixture has 180 milliliters of pure alcohol?
Answers
Answer:
She uses 162 millitiers if Solution B.
Step-by-step explanation:
180 - 10% = 162
Solution A = 18 milliliters
Soultion B = 162 millitiers
Sad Ariana Grande Fact:
In her song Thank u, next, it goes: "Even almost got married, and for Pete I'm so thankful."
But before they split, it was going to be: “I’m about to get married, for Pete I’m so thankful."
Answers
Oh thats so sad :((((
9 × ( 6+ 11 ) = (9 6) (9 11)
Answers
assuming the 9 6 and 9 11 are fractions, we get:
9 x ( 6 + 11 ) = (9/6) (9/11) =
153 = 27/22
Answer:
9(17) = (9 x 6)+(9 x 11)
153 = 54 + 99
153 = 153
Hope this helped! If it did, please give me brainliest! It would help a lot! Thanks! :D
Starting with 2, and i count by 8s until I reach 82, and 82 is the Nth number, what is the value of N?
Answers
Answer:
11 is N
Step-by-step explanation:
Since we know the first answer is 2, we can subtract 82 by 2. Afterwards we can divide by 8 since we are counting by 8s, this gets me 10. 10 + the first number is 11
The two triangles are similar.
Solve for h.
Give an exact answer.
Answers
Answer:
4.5 m
Step-by-step explanation:
if the two triangles are similar than it would mean that zy to xy is same ratio to cb to ab which means that the second triangle is only enlarge version of the first triangle. so divide 7.2 by 1.6 and multiply 1 to get the solution of 4.5
Jessica can do 60 jumping-jacks in 2 minutes. Which of the following is an equivalent rate
Answers
What’s 2/2 x 5/6 plz help me
Answers
Answer:
5/6
Step-by-step explanation:
2/2 = 11 × 5/6 = 5/6I hope this helps!
What’s the answer to this radical functions equation ASAP
Answers
Step-by-step explanation:
√z is defined only when z >= 0
Therefore √x - 1 is defined only when (x - 1) >= 0, x >= 1.
The only graph that shows the domain x >= 1 is graph Y.
can somebody help me with that
Given: GI¯¯¯¯¯¯¯ bisects ∠HGJ and ∠H≅∠J
Prove: △GIJ≅△GIH
Answers
Answer:
tbh how we suppose to help
The net change for a certain stock is the dollar value change in the
stock's closing price from the previous day's closing price. The net changes of three
stocks were -3, 1, and -2. Which net change has the greatest absolute value?
Answers
Answer:
-3
Step-by-step explanation:
Just put that trust me
A sporting goods store is selling all their exercise equipment for 30% off.
The regular price for an exercise bicycle is $260. The regular price for a set of hand weights is $120.
Part A
Use the drop‐down menus to explain how to find the sale price of the exercise bicycle.
Find ____________ of the cost of the exercise bicycle. Multiply that amount by
_______
to find 30% of the cost. Then (x-+/ choose 1)
the regular price to find the sale price.
Part B
Use your answers from Part A to find the sale price for the exercise bicycle. Enter your answer in the line
$_______
Part C
What is the sale price of the hand weights?
$114
$84
$36
$380
Answers
Answer:
weird
Step-by-step explanation:
Answer:
ok
Step-by-step explanation:
answered it. but I really need the answer tho like rn!
decide whether the rates are equivalent.
24 laps/6 minutes
72 laps/18 minutes
Answers
Answer:
Yes they are equivalent
Step-by-step explanation:
Because 24/6=4
And 72/18= 4
Hope this helps, have a good day
Yes the rates are equivalent
Explanation:
24 laps➗ 6 minutes = 4
72 laps ➗ 18 minutes = 4
As we can see both values divided get the answer, “4” so this shows they are equivalent.
Kevin and his children went into a restaurant and he bought 31.50
Answers
um kevin bought 31.50 of what? food?
5. What are the dimensions of this matrix?
Please help meeeeeeeeeee
Answers
Answer:
4 x 1
Step-by-step explanation:
The matrix shown in the illustration has 4 rows and 1 column, and thus we give the dimensions as 4 x 1.
please help i will name brainiest
Answers
Answer:
Step-29 (86by-step explanation:
25 points
What is an equation of a line, in point-slope form, that passes through (1, -7) and has a slope of-?
O y+7 +1)
Oy-7=-(+1)
O y+7=--1)
oy-7=-1)
Answers
Answer:
I think option C is correct
Simplify
30 +5.5
O 52
58
70
190
Answers
Answer:
70 is the answer
Step-by-step explanation:
ggsgshdghdhdhdhhdhdhdhd
Answer:
70
Step-by-step explanation:
4 1/3 Divided by 1/2
Answers
Explanation: Convert 4 1/3 which is 13/3
13/3 divided by 1/2
13/3 * 2
13/3 * 2= 26/3
Rosy has 16 pencils and 24 erasers. She is putting together packets that will have an equal number of pencils and erasers in each packet. If Rosy uses all of the pencils and erasers, what is the maximum number of packets she can make?
A.
2
B.
4
C.
8
D.
48
Answers
Answer: It's A. 2.
Step-by-step explanation:
Answer:
its not a
Step-by-step explanation:
What is Square root of 296 to the nearest tenth?
Answers
Answer:
16.4
Step-by-step explanation:
√269= 16.40121946...
simplifies to 16.4 I believe
Answer: 17.2
Step by step explanation: Here are step-by-step instructions for how to get the square root of 296 to the nearest tenth:
Step 1: Calculate
We calculate the square root of 296 to be:
√296 = 17.20465053408530
Step 2: Reduce
Reduce the tail of the answer above to two numbers after the decimal point:
17.20
Step 3: Round 17.20 so you only have one digit after the decimal point to get the answer:
17.2
A pipe is leaking in the school bathroom . it leaked 3 gallons of water in 6 hours.
Find the constant of proportionality
Answers
Answer:
0.5 gallons per hour
Step-by-step explanation: