Answer:
About 0.72
Step-by-step explanation:
Given the data:
With device : 22.6, 23.4, 28.4, 29, 29.3, 20.0
Without device :26.9, 24.4, 20.8, 20.8, 20.2, 26.0, 28.1, 25.6
Using calculator:
With device data:
Sample size (n1) = 6
Degree of freedom (df1) = 6 - 1 = 5
Mean(m1) = 25.45
Variance (s²1) = 15.631
Without device data:
Sample size (n2) = 8
Degree of freedom (df2) = n - 1 = 7
Mean (m2) = 24.1
Variance (s²2) = 9.54
s²t = ((df1/(df1 + df2)) * s²1) + ((df2/(df1 + df2)) * s²2)
s²t = ((5/(5+7)*15.63) + ((7/(5+7))*9.54)
= ((5/12) * 15.63) + ((7/12) * 9.54) = 12.0775
s²m1 = s²t/n1 = 12.0775/6 = 2.0123
s²m2 = s²t/n2 = 12.0775/8 = 1.511
T - statistic :
Tstat = (m1 - m2)/√(s²m1 + s²m2)
Tstat = (25.45 - 24.10) / √(2.0123 + 1.511)
Tstat= 1.350/√3.5233
Tstat = 1.350 / 1.8770455
Tstat = 0.7192153 = 0.72
In this exercise we want to use the knowledge of statistics and probability to calculate the statistical test that counts:
[tex]0.72[/tex]
First, we have to separate the data informed in the text and analyze it, like this:
With device : [tex][22.6, 23.4, 28.4, 29, 29.3, 20.0][/tex] Without device : [tex][26.9, 24.4, 20.8, 20.8, 20.2, 26.0, 28.1, 25.6][/tex]
Now doing with the device data calculations, we will find that:
Sample size ([tex]n_1[/tex]) = 6 Degree of freedom ([tex]df_1[/tex]) = 5 Mean ([tex]m_1[/tex]) = 25.45 Variance ([tex]s^2_1[/tex]) = 15.631
Now doing without device data calculations, we will find that:
Sample size ([tex]n_2[/tex]) = 8 Degree of freedom ([tex]df_2[/tex]) = 7 Mean ([tex]m_2[/tex]) = 24.1 Variance ([tex]s^2_2[/tex]) = 9.54
So to calculate the variance of the population we will use the data given above:
[tex]s~2t = ((df_1/(df_1 + df_2)) * s^2_1) + ((df_2/(df_1 + df_2)) * s^2_2)\\s^2t = ((5/(5+7)*15.63) + ((7/(5+7))*9.54)\\= ((5/12) * 15.63) + ((7/12) * 9.54) = 12.0775\\s^2m_1 = s^2t/n_1 = 12.0775/6 = 2.0123\\s^2m_2 = s^2t/n_2 = 12.0775/8 = 1.511[/tex]
For the calculation of the statistical test, we found that:
[tex]Tstat = (m_1 - m_2)/\sqrt{(s^2m_1 + s^2m_2)} \\Tstat = (25.45 - 24.10) / \sqrt{(2.0123 + 1.511)} \\Tstat= 1.350/\sqrt{3.5233} \\Tstat = 1.350 / 1.8770455\\Tstat = 0.7192153 = 0.72[/tex]
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f(x) = [x - 3]
Solve
NEED HELP PLEASEEEEEEEEEEE
Points A′, B′, and C′ are the images of 180-degree rotations of A, B, and C, respectively, around point O.
Answer:
35 degrees
Step-by-step explanation:
Multiply.
- 3(6y + 3)
- 3(6y + 3) = (
Answer:
Step-by-step explanation:Basic Math. Simplify (6y-3)(6y+3). (6y−3)(6y+3) ( 6 y - 3 ) ( 6 y + 3 ). Expand (6y−3)(6y+3) ( 6 y - 3 ) ( 6 y + 3 ) using the FOIL Method
10.) Lines 11 & 12 are parallel. Find the value of x.
10 points
Caranya
2x
O x= 32
x = 180
X = -20
X = -4
Answer:
how about question l 180_× + =
Find the slope for the following ordered pair
(10, 8) and (-5,8).
Answer: Undefined
Step-by-step explanation:
Please help me with this math ;(
Answer:
X=0
Step-by-step explanation:
f(X)=0
3^x-1=0
3^x=1
3^x=3^0
X=0
Sarah and Jane both brought new storage containers for packing away winter clothing. Sarah’s storage containers are cubic meters, of the storage container. Jane’s containers are prism shaped, and the height of each in her set can be determined by the following graph.
Answer: the answer is Sarah
Step-by-step explanation:
Just got it correct on Plato
how to Simplify: -2n + 11 + 6n
Answer:
4n + 11
Step-by-step explanation:
-2n + 6n = 4n
11 just stays as is
Answer:
4n + 11
Step-by-step explanation:
Combine like terms.
-2n + 11 + 6n = 4n + 11
n - 4 = 3n + 6 Yikesss
Answer: n=-5
Step-by-step explanation:
Answer:
N=-5
Step-by-step explanation:
N - 4 = 3n + 6
Add 4 to both sides
n-4+4=3n+6+4
Simplify
n=3n+10
subtract 3n from both sides
n-3n=3n+10-3n
Simplify
-2n=10
Divide -2 from both sides
-2n/-2=10/-2
Simplify
n=-5
The short answer please
Answer:
4) 1
5) 13/0, ND
6) -4
7) 5/3
8) 0
9) -1/7
all ans r correct....
pls vote n rate if u found it useful ....
how do you solve this equation 19−4c=17
Answer: Whatever you do to one side, you do the same operation on the other. The goal is to get the variable alone with a number on the other side.
Here's how:
Step-by-step explanation:
19−4c=17
19 - 19 - 4c = 17 - 19 Subtract 19 from both sides 19-19 =0 Cancels on the left
-4c = 17-19 subtract: 17-19 = -2
-4c = -2
-4c/4 = -2/-4 Divide both sides by -4
Negatives divided by Negatives have a Positive quotient -4/-4 =1, Cancels
c = 1/2
Cual es El opuesto de 0?
Answer: no hay opuesto de cero, cero es el último número de positivos y negativos
10 + 3x = 2(3 + 4) +5
Answer:
x=3
Step-by-step explanation:
10+3x=2(3+4)+5
3x=2(7)-5
3x=14-5
3x=9
x=3
You're welcome sir
If 6 × 6 = 36, what value should be subtracted from 36 to find the product of 5 × 6?
Answer:
The answer to this question is simply 6.
Step-by-step explanation:
You just need to subtract 6 from 36 to get the product of 5x6 which is 30
Jane is asked to buy some chickens, dogs and ducks for her farm. The total number of animals she needs to buy is 50. She has a budget of $1500 to spend on $20/chicken, $50/dog, and $30/duck. Additionally, the number of chickens should be equal to that of ducks. Create a system of 3 equations to model the situation. Assume the number of chickens is x, dogs is y and ducks is z.
Answer:
x = 20, the number of chickens as well as the number of ducks.
........
20 chickens, 20 ducks and 10 Dogs 50-20-20
And...checking
$400 + $600 + $500 = 1500
x the number of chickens as well as the number of ducks
20x + 30x + 50(50-2x) = $1500
-50x = -1000
Step-by-step explanation:
Hope this helps
The system of 3 equations to model the situation are;
x + y + z = 50
20x + 50y + 30z = 1500
x = z
How to write equation?number of chickens = xnumber of dogs = ynumber of ducks = zcost of each chicken = 20cost of each dog = 50cost of each duck = 30Total cost = 1500Total number of animals = 50The equation:
x + y + z = 50
20x + 50y + 30z = 1500
number of chicken = number of ducks
x = z
Therefore, the equations are;
x + y + z = 50
20x + 50y + 30z = 1500
x = z
Learn more about equation:
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help please i will give brainliest
10.(02.06 LC)
The number line below represents which combined inequality? (5 points)
What is the value of x in the equation 32(4x – 1) – 3x = 54 – (x + 2)? 1/16 3/16 19/16 or 3
Step-by-step explanation:
32(4x-1)-3x=54-(x+2)
128x-32-3x=54-x-2
128x-3x+x=54-2+32
126x=84
x=0.67 round to the nearest tenth
or
⅔
round 2,227 to the nearest ten
Add this pair of numbers make sure your answer is fully reduced 1 1/2 + 1/6
Answer:
The answer to 1 1/2 + 1/6 is 1 2/3.
Select three ratios that are equivalent to 5:2
Choose 3 answers:
Answer:
10:4
35:14
55:22
What percent of 34 is 39?
Answer:
87.18
Step-by-step explanation:
Answer:
114.706%...or 1.14706
Step-by-step explanation:
divide 39 by 34 and you will get 1.14706 and multiply by 100 to get the percentage 114.705% if you round 115%
What is 24:28=? 250:400=? 270:30=? 4:80=? 55:33=? 1000:100=? 560:80=? 20:340=?
Plz help ill give u 20 points if u do all of these:)
Step-by-step explanation:
Ok so if you didn't know, : is another way to write / so 24:28 is the same thing as 24 divided by 28. Or if you just wanted to simplify to most, you just want to find the largest common factor and divide it by both.
24:28 = 6:7
250:400 = 5:8
270:30 = 9:1
4:80 = 1:20
55:33 = 5:3
1000:100 = 100:10
560:80 = 7:1
20:340 = 1:17
Answer: 24:28= 6:7
250:400= 5:8
4:80= 1:20
55:33= 5/3
1000:100= 10:1
560:80= 7:1
20:340= 1:17
Step-by-step explanation:
Divide the numbers on each side of the ratio by Common Factors until what's left can't be divided any further.
One example, last one:
20:340 both divisible by 10, so you get 2:34. Both even numbers so divide by 2. You get 1:17. They can't be divided any further to get whole numbers, so that's the answer.
Find the value of x in the triangle shown below.
x =
37°
56°
What is the value of x?
Answer:
The value of x is 87.
Step-by-step explanation:
37 + 56 = 93
180 - 93 = 87
Jessica is shopping at an online store that offers free shipping and doesn't charge her sales
tax. Jessica orders two books for $8.99 each, a video game for $19.99, and three board games
for $11.99 each. She pays for her purchases with a $100 gift card. What is the remaining
balance on her gift card after these purchases?
Answer:
$26.05
Step-by-step explanation:
$8.99(2) + $19.99 + $11.99(3) = $73.95 - $100
Hope this helped :)
TIME REMAINING
13:42
Atlanta and Los Angeles have two of the top ten busiest airports in the world. In 2011, Atlanta had approximately 92.365 million passengers flying through its airport. If Los Angeles had 30.517 million fewer passengers, how many passengers did Los Angeles have?
61.848 million
89.313 million
99.314 million
122.882 million
Which choice correctly shows rounding to the hundredths place?
4.234 + 4.752 + 7.99 right-arrow 4.2 + 4.8 + 8.0
3.825 + 4.792 + 3.0805 right-arrow 3.82 + 4.79 + 3.82
3.824 + 4.765 + 1.732 right-arrow 3.81 + 4.77 + 3.80
3.8765 + 4.824 + 1.733 right-arrow 3.88 + 4.82 + 1.73
Answer:
the last one:))))
Step-by-step explanation:
trust me
A. Write the first four terms of the sequence, given the nth term formula
1. an=2n+3
2. an=n2-1
B. Supply the missing term for each sequence
1. 57,__,37,__17
2. __,__,0,12,24,36
3. -4,8,__16,-20
C. Find the general rule or nth term for each sequence
1. 7, 12, 17, 22,...
2. 2, 6, 12, 20,...
D. Determine whether each sequence is arithmetic or not. Find the common difference for each arithmetic sequence
1. 4, 8, 12, 16,..
2. 13, 10, 7, 4,...
3. -10, -8, -6, -4,..
4. 1, 6, 8, 11, 12,..
5. 5,6,12,13
Step-by-step explanation:
A.let n be 1
a1=2(1)+3
T1=5
let n be 2
2(2)+3
T2=7
T3=2(3)+3
=9
T4=2(4)+3
=11
A. For the sequence given by the nth term formula an = 2n + 3, the first four terms are:
a1 = 2(1) + 3 = 5
a2 = 2(2) + 3 = 7
a3 = 2(3) + 3 = 9
a4 = 2(4) + 3 = 11
For the sequence given by the nth term formula an = n² - 1, the first four terms are:
a1 = 1² - 1 = 0
a2 = 2² - 1 = 3
a3 = 3² - 1 = 8
a4 = 4² - 1 = 15
B. The missing terms for the sequence 57, 47, 37, 27, 17 are:
57, 47, 37, 27, 17
The missing terms for the sequence -12,-6, , 0, 12, 24, 36 are:
-12, -6, 0, 12, 24, 36
The missing terms for the sequence -4, 8,20, , 16, -20 are:
-4, 8, 20, 16, -20
C. The general rule or nth term for the sequence 7, 12, 17, 22,... is:
an = 5n + 2
The general rule or nth term for the sequence 2, 6, 12, 20,... is:
an = n² + 1
D. The sequence 4, 8, 12, 16,.. is an arithmetic sequence with a common difference of 4.
The sequence 13, 10, 7, 4,... is an arithmetic sequence with a common difference of -3.
The sequence -10, -8, -6, -4,.. is an arithmetic sequence with a common difference of 2.
The sequence 1, 6, 8, 11, 12,.. is not an arithmetic sequence as there is no common difference between consecutive terms.
The sequence 5, 6, 12, 13,... is not an arithmetic sequence as there is no common difference between consecutive terms.
To know more about sequence here
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Solve for x:
(x - 2)(x + 1) = 3x - 2
X =
X =
Answer:
x = 0
Step-by-step explanation:
(x - 2)(x + 1) = 3x - 2
2x + x - 2x -2 = 3x - 2
x - 2 = 3x - 2
-2x = 0
x = 0
find the difference 67 -43
Answer:
Here's how to solve
Step-by-step explanation:
67-43.
7-3=4
6-4=2
so 24 and to check if it is correct substitute 24 in the equation
24+43= 67
24 is your answer
Answer:
[tex]67 - 43 \\ \\ = 24 \\ then \\ 24 + 43 \\ = 67 \\ now \\ [/tex]