Answer:
Decision rule is
Fail to reject the null hypothesis
The conclusion is
There is sufficient evidence that indicate that there is a significant difference between the two treatments
Step-by-step explanation:
From the question we are told that
The sample size is n = 12
The first mean is [tex]M_1 = 55[/tex]
The variance is [tex]s^2_1 = 8[/tex]
The second mean is [tex]M_2 = 52[/tex]
The second variance is [tex]s^2_2 = 4[/tex]
Let the level of significance be [tex]\alpha = 0.05[/tex]
The null hypothesis is [tex]H_o : M_1 = M_2[/tex]
The alternative hypothesis is [tex]H_a : M_1 \ne M_2[/tex]
Generally the test statistics is mathematically
[tex]t = \frac{M_1 - M_2 }{ \sqrt{\frac{s_1^2}{n_1} +\frac{s_2^2}{n_2}} }[/tex]
=> [tex]t = \frac{55 - 52 }{ \sqrt{\frac{8}{12} +\frac{4}{12 }} }[/tex]
=> [tex]t = 1.1619 [/tex]
Generally the degree of freedom is mathematically represented as
[tex]df = 12 -1[/tex]
=> [tex]df = 11 [/tex]
Generally from the t- distriibution table the critical value of [tex]\alpha[/tex] at a degree of freedom of [tex]df = 11 [/tex] is
[tex]t_{0.05 , 11} = 2.20098516[/tex]
Here given that the critical value is greater than the t statistics value the
Decision rule is
Fail to reject the null hypothesis
The conclusion is
There is sufficient evidence that indicate that there is a significant difference between the two treatments
Travis has won 9 snowboarding competitions.
He wants to display his trophies on a shelf.
How many different ways could he arrange
the trophies on the shelf?
A. 9
B. 72
C. 81
D. 362,880
ASAP! Help I’ll mark you brainly
Answer:
y=0.13x^2+13.68x+750
this the function rule
Step-by-step explanation:
brainliest
Answer:
im the other
make sure u give it to tfue_the_god
Step-by-step explanation:
What is the slope of a line that is perpendicular to the line y =-1/5
Answer:
The slope-intercept form is y=mx+b y = m x + b , where m m is the slope and b b is the y-intercept. Using the slope-intercept form, the slope is 0 0 . All lines that are parallel to y=−15 y = - 1 5 have the same slope of 0 .
The sides of ADEF are d, e, and f. If the lengths of d = 12 and e = 19, what are the
possible lengths of f?
Answer:
The possible range of values for F are from 8 to 30
Step-by-step explanation:
Here, we have a triangle DEF and we want to get the possible lengths of the third side
To evaluate the possible lengths of the third side , we need to follow a rule
The rule is that, for the third side, the sum of the two other sides must be greater than it
This means that the length should be less than d + e
Mathematically;
f < d + e
f < 12 + 19
f < 31
So it could be 30
It could also range from 30 to 8
This is because if it is less than 8, then the addition to 12 will be less than or equal to 19
The distance from a point to two is five units. The point could be located at
-7
-6
6
-3
NEXT QUESTION
O ASK FOR HELP
Answer:
The correct answer is -3
Step-by-step explanation:
attached is a number line to show diagrammatically how to count five units from the chosen point to point 2 on a number line.
Moving five units from -3 to 2 on a number line is given as follows:
-3 ⇒ -2 ⇒ -1 ⇒ 0 ⇒ 1 ⇒ 2
From the motion expression shown above, moving from -3 to 2 involves moving 5 units.
another way of determining the correct answer is to find the difference in interval between the two points as shown below:
Let the point be x
2 - x = 5 units
2 - 5 = x
∴ x = -3
Answer:
-3
Step-by-step explanation:
it was on quiz baby
what is another name for <2
Answer:
two, like: both, pair, couple, same, twain, bifurcate, bigeminal, binal, twin, dual and double.
Step-by-step explanation:
Use scientific notation to find the product of 7.13 × 10 -3 and 40.
Answer:
(7.13 × 10^-3) x 40 = 285.2 x 10^-3 = 2.9 x 10^-1
Step-by-step explanation:
I think this is the answer i hope if it right or not but aleast I try on it .
Liam has this spinner.
red
green
blue
yellow
red
green
blue
red
Liam will spin the pointer one time.
What is the probability that the pointer will land on red?
Austin has $12 in his piggy bank and deposits 75 cents each week. Daniel has has $15 and deposits 50 cents each week
Answer:
whats the question?
Step-by-step explanation:
Elowen pays a total of $22.50 for every six shirts
she has dry-cleaned.
The function f(x) = 4x – 0.1x2 is used to model the curve of a bridge over a small river, where x is the distance from one side of the river and the x-axis represents the ground. The mathematical range for the function is the set of real numbers. Which statement describes the limitation for the reasonable range compared to the mathematical range? The limitation for the reasonable range restricts it to positive real numbers. The limitation for the reasonable range restricts it to positive whole numbers. The limitation for the reasonable range restricts it to real numbers greater than or equal to 0 and less than or equal to 40. The limitation for the reasonable range restricts it to whole numbers greater than or equal to 0 and less than or equal to 40.
Answer:
x ∈ R ( 0 , + ∞ )
Step-by-step explanation:
In the function:
F(x) = 4*x -0,1*x²
The domain of F(x) is all the set of real numbers
R ∈ ( -∞ , +∞ )
values for F(x), can be found from negative and positive values of x
for instance for:
x = -2 F(x) = 4*(-2) - 0,1 * (-2)² F(x) = - 8,4
x = 2 F(x) = 4*(2) - 0,1 * (2)² F(x) = 7,6
But distance x could not be negative ( there is not negative distance in the real world), therefore the reasonable range restricts values of x only to positive values.
Then x can be any number x ≥ 0 ( distance could be 0 )
Answer:
C) The limitation for the reasonable range restricts it to real numbers greater than or equal to 0 and less than or equal to 40.
Step-by-step explanation:
its right on edg
You have two chances to draw from a normal pack of 52 playing cards. What is the probability of drawing an ace on the second attempt if the first card (which you did NOT put back in the pack) was not an ace
Answer:
The probability is [tex]P(k) =0.07843[/tex]
Step-by-step explanation:
From the question we are told that
The total number of cards is n = 52
Generally the number of ace in a standard deck of cards is k = 4
Generally the the first card drawn is not an ace so the remaining number of ace after the first card is drawn is k = 4
also the remaining total number of cards after the first card is drawn is
N = n- 1
=> N = 52 - 1
=> N = 51
Generally the probability of drawing an ace on the second attempt if the first card (which you did NOT put back in the pack) was not an ace is mathematically represented as
[tex]P(k) =\frac{k}{N}[/tex]
=> [tex]P(k) =\frac{4}{51}[/tex]
=> [tex]P(k) =0.07843[/tex]
How many thirds are there in 12/3?
Answer: 4
Step-by-step explanation:
12/3 = 4
Answer:
12
i think..............................
HELP PLEASE !
10 points !!
What is the slope of the function?
Answer:
the answer is -4 because the Y values are going down 4 at a time.
The Empire State Building weights about 7.3 x 10 ^8
Answer:
730000000 lbs?
Step-by-step explanation:
Answer:
730000000
Step-by-step explanation:
7.3 x 10^8
Do exponents first. 10^ 8 is the same as 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10, which equals 100000000 x 7.3 = 730000000
Mai works at a photo gallery. He charges $50 for a large photo and $40 for a large frame. Sales tax is 5%. How much total tax will a customer pay on both?
Answer:$94.50
Step-by-step explanation:5% of 50 is 2.5 and 5% of 40 is 2 so the math you would do is 50+40+2.5+2 which equals $94.50.
The data below indicate the time (in seconds) that it takes 25 separate employees to complete a certain task. hw1_q5.csva) What is the mean of the data in seconds? Give your answer to three decimal places.b) What is the median of the data in seconds?c) What is the variance of the data in seconds? Give your answer to three decimal places.d) What is the standard deviation of the data in seconds? Give your answer to three decimal places.e) What is the mean of the data in minutes? Give your answer to three decimal places.f) What is the median of the data in minutes? Give your answer to three decimal places.g) What is the variance of the data in minutes? Give your answer to three decimal places.h) What is the standard deviation of the data in minutes? Give your answer to three decimal places.seconds260224221255236215193285244284222185182197253191255231229168152221244239246
Answer:
Explained below.
Step-by-step explanation:
Consider the data provided.
(a)
Compute the mean of the data in seconds as follows:
Mean =AVERAGE(array)
= 225.280 seconds
(b)
Compute the median of the data in seconds as follows:
Median =QUARTILE.EXC(array,2)
= 229 seconds
(c)
Compute the variance of the data in seconds as follows:
Variance =VAR.S(array)
= 1148.043 seconds
(d)
Compute the standard deviation of the data in seconds as follows:
Standard deviation =STDEV.S(F2:F26)
= 33.883 seconds.
(e)
Compute the median of the data in minutes as follows:
Median =QUARTILE.EXC(array,2)
= 3.755 minutes.
(f)
Compute the median of the data in minutes as follows:
Median =QUARTILE.EXC(array,2)
= 3.817 minutes
(g)
Compute the variance of the data in minutes as follows:
Variance =VAR.S(array)
= 0.319 minutes
(h)
Compute the standard deviation of the data in minutes as follows:
Standard deviation =STDEV.S(F2:F26)
= 0.565 minutes.
if 1/4 of a number is 7 what is the number
Answer:
28
Step-by-step explanation:
7*4
A system of two linear equations is consistent and dependent. What is true about the graph of the equations?
A.
The lines are the same.
B.
The lines are parallel, but have different intercepts.
C.
The lines intersect.
D.
The lines are perpendicular.
Please select the best answer from the choices provided
A
B
C
D
Answer:
The best answer is " The lines are the same " ⇒ A
Step-by-step explanation:
A system of two linear equations can have:
One solution ⇒ 2 intersected lines at a pointAn infinite number of solutions ⇒ same lineNo solution ⇒ 2 parallel linesIf a system has at least one solution, it is called consistent
If a consistent system has exactly one solution, then it is called independent. they are represented by two intersected lines at a pointIf a consistent system has an infinite number of solutions, then it is called dependent. They are represented by the same lineIf a system has no solution, then it is called inconsistent. they represented by two parallel lines
Let us use these facts above to solve our question
∵ A system of two linear equations is consistent and dependent
∴ The system has an infinite number of solutions
∴ The system represented graphically by the same line
∴ The best answer is " The lines are the same "
PLZ HELP I WILL MARK BRAINLEST!
Answer: 16.4cm
Step-by-step explanation: 4cm=20km
82/20 is 4.1. 20 multiplied by 4.1 and you get 16.4cm
Convert the following decimal numbers to BCD and add them. Convert the result back to decimal to check your answer
(a) 8
(b) 43
(c) 12 + 16
(d) 47 +38
(e) 36 +22
(f) 80 + 23 + 72
(g) 12 +89
(h) 99
Answer and Step-by-step explanation:
Solution:
(a) 8 + 3
Convert into BCD:
8 = 1000
3 = 0011
Add them:
8 + 3 = 11
1000 + 0011 = 1011
Answer is correct.
(b) 43 + 72
Convert into BCD:
43 = 0100 0011
72 = 0111 0010
Add them:
43 + 72 = 115
0100 0011 + 0111 0010 = 0001 0001 0101
(c) 12 + 16
Convert into BCD:
12 = 0001 0010
16 =0001 0110
Add them:
12 + 16 = 28
0001 0010 + 0001 0110 = 0010 1000
00101000 = 00101000
Hence Answer is correct.
(d) 47 + 38
Convert into BCD:
47 = 0100 0111
38 =0011 1000
Add them:
47 + 38 = 85
0100 0111 + 0011 1000= 1000 0101
(e) 36 + 22
Convert into BCD:
36=0011 0110
22=0010 0010
Add them:
36 + 22 = 85
0011 0110 + 0010 0010 = 1000 0101
(f) 80 + 23 + 72
Convert into BCD:
80 =1000 0000
23 = 0010 0011
72 = 0111 0010
Add them:
80 + 23 + 72 =175
1000 0000 +0010 0011+ 0111 0010 = 0001 0111 0101
(g) 12 + 89
Convert them into BCD:
12 = 0001 0010
89 = 1000 1001
Add them:
12 + 89 = 101
0001 0010 + 1000 1001 = 0001 0000 0001
(h) 99
Convert into BCD:
99 = 1001 1001
The Triangle Sum Theorem states that the sum of all the angles in a triangle is
Answer:
180°
Step-by-step explanation:
A Department of Transportation report about air travel found that, nationwide, 78% of all flights are on time. Suppose a random sample of 50 flights is selected from all nationwide flights that were completed in the past 30 days (over 1000 flights). Let the random variable X be defined as the number of sampled flights that arrived on time.
What is the value of the n parameter of the binomial random variable X?
Group of answer choices
50
78
39
30
1000
Answer:
The value of parameter n of binomial random variable is 50.
Step-by-step explanation:
The value of n parameter is 50 because it is the size of sample of flights. In binomial experiment the process is repeated fixed n number of times and here in the given scenario random sample of 50 flights is the n which is fixed throughout the process.
Find the value of x. The diagram is not to scale.
Someone help please!!
Answer:
angle T = 114
Step-by-step explanation:
SRT = STR
angle R = angle T
angle R = 33°
so angle R and angle T = 33°
all angles on a triangle = 180°
so
angle R + angle S + angle T = 180°
and angle R and S = 33° so subtitute...
33 + 33 + T = 180
then solve:
66 + T = 180
-66 -66
T = 114
mathy way:
SRT = STR Given
SRT = 33 Given
33 = STR Substitution Property of Equality
STR = 33
R + S + T = 180° Deffinition of triangle
33 + 33 + T = 180 Substitution Property of Equality
66 + T = 180 Addition
T = 114 Subtraction Property of Equality
The value of y is directly proportional to value of x.if y =35 when x=140 what is the value of y when x = 70
Answer:
Y= 17.5
Step-by-step explanation:
140 divided by 2 would equal 70 which could used on y as well meaning 35 divided by 2 would be 17.5 thus giving us the answer 17.5
A union charges monthly dues of $6.00 plus $0.15 for each hour worked during the month. A union member's dues for March were $30.60. How many hours did the union member work during the month of March?
Answer:
4.5
Step-by-step explanation:
8x^(2)+3x-18 - 6x3 + 10x2 − x − 3
Ans = Error
The value of x is unknown Therefore, it cannot be simplified.
Try giving the value of x and I will try again.
Need help i will mark you brainliest
Find the unknown angle measure.
Answer:
54
Step-by-step explanation:
equilateral triangle= 2 angles equal
180-72=108
108/2 =54
x=54
have this done correctly for brainliest
