Answer:
1.33 < 2.67 ; Fail to reject H0 at 0.05
Step-by-step explanation:
Given the data :
Men:
n1= 11
s1= 6.1
Women:
n2= 14
s2= 5.3
The hypothesis :
H0 : σ1² = σ2²
H1 : σ1² > σ2²
To calculate the test statistic ; we use th Ftest statistics ;
F statistic = Larger sample variance / Smaller sample variance
Fstatistic = s1² / s2² = 6.1² / 5.3² = 37.21/28.09 = 1.325
The F critical value at :
df numerator = n - 1 = 11 - 1 = 10
df denominator = n - 1 = 14 - 1 = 13
Using the F distribution table :
F critical = 2.671
Since
F statistic < F critical ; Fail to reject H0 at 0.05
We fail to reject the null hypothesis at significance level of H0 : s1² = s2²
For the men, we have:
n1= 11 s1= 6.1
For the women, we have:
n2= 14 s2= 5.3The null and the alternate hypotheses are:
Null hypothesis H0 : s1² = s2²Alternate hypothesis H1 : s1² > s2²
The numerator and the denominator degrees of freedom are calculated as:
[tex]\mathbf{df = n -1}[/tex]
So, we have:
[tex]\mathbf{df_1 = 11 -1}[/tex]
[tex]\mathbf{df_1 = 10}[/tex] ----- numerator
[tex]\mathbf{df_2 = 14 -1}[/tex]
[tex]\mathbf{df_2 = 13}[/tex] ----- denominator
The test statistic of the f test is:
[tex]\mathbf{t = \frac{s_1^2}{s_2^2}}[/tex]
So, we have:
[tex]\mathbf{t = \frac{6.1^2}{5.3^2}}[/tex]
[tex]\mathbf{t = \frac{37.21}{28.09}}[/tex]
[tex]\mathbf{t = 1.325}[/tex]
The critical values at [tex]\mathbf{t = 1.325}[/tex] and the degrees of freedom is:
[tex]\mathbf{F= 2.671}[/tex]
By comparison, 1.325 is less than 2.671.
Hence, we fail to reject the null hypothesis at H0 : s1² = s2²
Read more about hypothesis at:
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(3x - 2)^5 =(3x - 2)^2
Answer:
x=3/2,1
Step-by-step explanation:Given
(3x-2)ˆ5-(3x-2)ˆ2=0
(3x-2)ˆ3(3x-2)ˆ2-(3x-2)ˆ2=0
(3x-2)ˆ2{(3x-2)ˆ3-1}=0
(3x-2)ˆ2=0 Or (3x-2)ˆ3-1=0
3x-2=0 Or(3x-2)ˆ3=1
x=3/2 Or 3x-2=1, x=1
Convert 110101 in base 2 to base 10
Answer:
base-2 base-10
110011 = 51
110100 = 52
110101 = 53
110110 = 54
21 more rows
f(x)=8x−4x+4 , then f(x−1)=
Answer: [tex]4x[/tex]
Step-by-step explanation:
[tex]f(x)=8x-4x+4\\f(x-1)=8(x-1)-4(x-1)+4\\f(x-1)=8x-8-4x+4+4\\f(x-1)=4x-8+4+4\\f(x-1)=4x[/tex]
Write in standard form (×-3)(x+2)(x-5)
Answer: X - 3 x X + 2 x X - 5
Step-by-step explanation:
X - 3 x X + 2 x X - 5
Answer:
its (x - 3)( x^2-3x-10
Step-by-step explanation:
Data was collected on reaction time of both hands for an experiment. 14 out of 27 students had a faster reaction time with their right hand than with their left hand. Using this information, we wish to construct a confidence interval for the proportion of all WCU students that have a faster reaction time with their right hand than with their left hand.
Calculate the lower boundary of a 99% confidence interval.
Give your answer as a decimal rounded to 3 places after the decimal.
Answer:
0.3902
Step-by-step explanation:
The question meets the criteria for the calculation of the confidence interval of a one sample proportion ;
Sample size, n = 27
Number of students with faster reaction time = 14
Phat = x / n = 14 / 27 = 0.6296
The confidence interval is calculated thus :
C. I = Phat ± Zcritical * √[p(1 - p)/n]
Zcritical at 99% = 2.576
C. I = 0.6296 ± 2.576 * √[0.6296(0.3704)/27]
C.I = 0.6296 ± 0.2394042
The lower boundary of C.I = 0.6296 - 0.2394042
Lower boundary = 0.3902
What is the best point estimate for the population's standard deviation if the sample standard deviation is 37.3
Answer:
The best point estimate for the population's standard deviation is 37.3.
Step-by-step explanation:
Best point estimate:
The best point estimate for the population mean is the sample mean.
The best point estimate for the population standard deviation is the sample standard deviation.
In this question:
Sample standard deviation of 37.3, and thus, the best point estimate for the population's standard deviation is 37.3.
Last week, you spoke with 800 customers in 40 hours."
Employee: "That is an average of __________ customers every 30 minutes."
Answer:
10 customers
Step-by-step explanation:
Hi!
Each hour has 60 minutes, so two half hour (30 minute) blocks. Thus, 1 hour = 2 half hours, so 40 hours = 80 half hours.
800 customers in 80 half hours, divide that:
800 customers / 80 half hours = 10 customers / half hour
So, your answer is 10 customers every half hour, or 10 customers every 30 minutes.
Average is [tex]10[/tex] customers per hour
Average is a single number taken as representative of a list of numbers, usually the sum of the numbers divided by how many numbers are in the list.
Total number of customers [tex]=800[/tex]
Total number of hours [tex]=40[/tex]
[tex]=40\times 60[/tex]
[tex]=2400[/tex] minutes
Average (in every [tex]30[/tex] minutes) [tex]=[/tex] Total number of customers [tex]\div[/tex] Total number of hours
[tex]=\frac{800}{2400 \div 30}[/tex]
[tex]=10[/tex] customers per hour
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need help please please
Answer:
3 1/2<5 1/2
Step-by-step explanation:
The first answer is correct
Step-by-step explanation:
Three and one half
[tex] = 3 \frac{1}{2} [/tex]
Less than symbol ( < )
Five and one half
[tex] = 5\frac{1}{2} [/tex]
So, equation will be,
[tex]3 \frac{1}{2} < 5 \frac{1}{2} [/tex]
Hence, your chosen option is correct
A duck has 1,100 feathers. It went for a swim in a pond and lost 2/100 of its feathers. How many feathers did it lose?
Answer:
It lost 22 feathers.
Step-by-step explanation:
To complete this problem, this expression will be used: 2x/100.
2(1100)/100 {Multiply 2 by 1100}
2200/100 {Simplify by cancelling out 100}
22/1 {Divide}
22 feathers were lost.
whats the value of 5 in the product of 6,541 x 100
Answer:
50,000
Step-by-step explanation:
The product would be 654,100. Replace the other numbers to find the value of 5. The value of 5 is 050,000 or 50,000.
I hope this helps!
What is the volume of the pyramid shown below?
Answer:
B is the answer of this question
Step-by-step explanation:
144 cu. units
Which of the following is a polynomial?
A. X4- 2
B. 1/x+ 2
c. x-2-1
D.(x - 4)/(x + 1)
Answer:
ok um last person was rude but your answer is A
Step-by-step explanation:
On the first day of travel, a driver was going at a speed of 40 mph. The next day, he increased the speed to 60 mph. If he drove 2 more hours on the first day and traveled 20 more miles, find the total distance traveled in the two days.
The Total mileage is "400" and the further solution can be defined as follows:
Let t become the time he spent commuting on the first day of his vacation.
It is then calculated as [tex]t + 2[/tex].
[tex]\to 40\times(t+2) = 60(t) + 20 \\\\\to 40t+80 = 60t + 20 \\\\\to 80-20 = 60t + 40t \\\\\to 60 = 20t \\\\\to t=\frac{60}{20} \\\\\to t=\frac{6}{2} \\\\\to t= 3\\\\[/tex]
It traveled [tex]40\times (3 + 2) + 20 = 40\times 5 + 20 = 200+20=220[/tex] miles on its first day of operation.
The car traveled [tex]180\ miles[/tex] on the second day, which was [tex]60 \ miles \times 3[/tex].
So,
Total mileage= first day traveled + second day traveled [tex]= 220+ 180= 400 \miles[/tex]
Learn more:
Total distance traveled: brainly.com/question/20670144
Alan's aunt gave him $95 to spend on clothes at the mall. He bought 5 shirts that cost $6 each and a pair of pants that cost $17. How much money does Alan have left to buy more clothes? (one more)
Answer:
he has 48 dollars left to spend on clothes
Bod and coa are _____ angles
Answer:
opposite angles
Step-by-step explanation:
They are formed in the intersection of lines AD and BD.
Answer:
opposite angles
Step-by-step explanation:
they are formed in the intersection of lines AD and BD. two figures are called similar if they have same shape however have different size.
The carpet in the school library needs to be replaced. The dimensions of the library floor or shell each square foot of cart bit cost $1.25. What is the total cost of the new carpet for the library
To find the cost, we must:
First, find the area of the carper. It can be found dividing the carper into a rectangle and a right triangle.Then, with the area, in square foot, we have the cost per square foot, which makes it possible to find the total cost.Doing this, we get that the cost is: $3,815, and the correct option is B.
Carpet:
The carpet can be divided into:
A rectangle of dimensions 56 ft and 38 ft.A right triangle of legs 71 - 38 = 33 ft and 56 ft.----------------------------------------------
Area of the rectangle:
The area of a rectangle of dimensions l and w is given by:
[tex]A_r = lw[/tex]
In this question, the dimensions are l = 56 ft, w = 38 ft, so the area, in square feet, is:
[tex]A_r = 56*38 = 2128[/tex]
-------------------------------------------
Area of a right triangle:
The area of a right triangle of legs a and b is given by:
[tex]A_t = \frac{ab}{2}[/tex]
In this question, the legs are a = 56, b = 38, so the area, in square feet, is:
[tex]A_t = \frac{56(33)}{2} = 924[/tex]
----------------------------
Total area:
The total area is the sum of the area of the rectangle with the area of the right triangle, thus:
[tex]A = A_r + A_t = 2128 + 924 = 3052[/tex]
-------------------------
Cost:
Each square foot costs $1.25.
There are 3,052 square feet. So, the cost is:
[tex]C = 1.25*3052 = 3815[/tex]
Thus, the cost is $3,815, and the correct option is B.
A similar question is found at https://brainly.com/question/13209573
I'm interval notation please
9514 1404 393
Answer:
(-2, 4]
Step-by-step explanation:
-21 ≤ -6x +3 < 15 . . . . given
-24 ≤ -6x < 12 . . . . . . subtract 3
4 ≥ x > -2 . . . . . . . . . . divide by -6
In interval notation, the solution is (-2, 4].
__
Interval notation uses a square bracket to indicate the "or equal to" case--where the end point is included in the interval. A graph uses a solid dot for the same purpose. When the interval does not include the end point, a round bracket (parenthesis) or an open dot are used.
make m the subject of this eequation please help!! asap
Answer: [tex]M = \pm\sqrt{\frac{3K}{4(5+7NK)}}\\\\[/tex]
======================================
Work Shown:
[tex]\frac{5}{K} = \frac{3}{4M^2} - 7N\\\\\frac{5}{K}+7N = \frac{3}{4M^2}\\\\\frac{5}{K}+7N*\frac{K}{K} = \frac{3}{4M^2}\\\\\frac{5}{K}+\frac{7NK}{K} = \frac{3}{4M^2}\\\\\frac{5+7NK}{K} = \frac{3}{4M^2}\\\\4M^2*(5+7NK) = K*3\\\\M^2 = \frac{3K}{4(5+7NK)}\\\\M = \pm\sqrt{\frac{3K}{4(5+7NK)}}\\\\[/tex]
Other forms are possible, but those forms would be equivalent to what is shown above.
The perimeter of the figure below is 107.5 in. Find the length of the missing side
9514 1404 393
Answer:
7.3 in
Step-by-step explanation:
The sum of the lengths of the sides shown is 100.2 in, so the missing length is ...
107.5 -100.2 = 7.3 . . . inches
Suppose the discrete random variable X has the probability distribution below:
X 0 1 2 3 4
P(X) 0.11 0.52 0.19 0.12 0.06
1pt a right parenthesis space F i n d space P left parenthesis X less than 3 right parenthesis
2pt b right parenthesis space F i n d space P left parenthesis X greater or equal than 1 right parenthesis
2pt c right parenthesis space F i n d space mu subscript X
2pt, 1pt d right parenthesis space F i n d space sigma subscript X squared space a n d space sigma subscript X
(a) P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.11 + 0.52 + 0.19 = 0.82
(b) P(X ≥ 1) = P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.52 + 0.19 + 0.12 + 0.06 = 0.89
(c) µ = 0×0.11 + 1×0.52 + 2×0.19 + 3×0.12 + 4×0.06 = 1.5
(d) σ² = (0²×0.11 + 1²×0.52 + 2²×0.19 + 3²×0.12 + 4²×0.06) - µ² = 1.07
σ = √(σ²) ≈ 1.03
If it takes sally 45 minutes to walk 1 mile how long will it take sally to walk 1,954 miles?
Answer:
87,930 Minutes
Step-by-step explanation:
Let us use unit rates for this question. Let's first draw a table.
Minutes Mile
45 1
This table represents the relation of Sally walking 1 mile in 45 minutes. Let's put the other data we know of in the table.
Minutes Mile
45 1
1954
To find the number of minutes, we must know that if 1 mile takes 45 minutes, we must multiply the number of minutes, which is 45, by 1954 to get the result desired. Let us do that.
1954*45 = 87,930
Minutes Miles
45 1
87,930 1954
Therefore it will take Sally 87,930 minutes to walk 1,954 Miles.
I Hope This Helps!
Please Mark Brainliest!
(b) If 124n= 232 five, find n.
Answer:[tex]n=\frac{58}{31}[/tex]
Step-by-step explanation:
[tex]124n=232\\\frac{124n}{124}=\frac{232}{124}\\n=\frac{232}{124}=\frac{58}{31}[/tex]
The value of n is 18.75. To find the value of n, we need to solve the equation: 124n = 232 five
Let's first convert "232 five" into a numerical value:
"232 five" means 2325 (since five is in the units place).
Now, the equation becomes:
124n = 2325
To solve for n, divide both sides of the equation by 124:
n = 2325 / 124
Now, perform the division:
n = 18.75
So, the value of n is 18.75.
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A student decides she wants to save money to buy a used car, which costs $2600. She comes up with what she thinks is a very modest savings plan. She decides to save 2 cents the first day and double the amount she saves each day thereafter. On the second day she plans to save 4 cents, on the third day, 8 cents, and so on. Determine how long it will take her to save enough money to buy the car ?
Answer:
17 days
Step-by-step explanation:
as you see, 4=2^2
and 8=2^3
so we have a number sequence:
2+2^2+2^3+...+2^n=260000 (1)
multiply (1) by 2 we have:
2^2+2^4 +...+2^(n+1)=520000 (2)
(2) minus (1) we have:
2^(n+1)-2=260000
2^n*2=260002
2^n=130001
and we have 2^17=131072 >130001
so it will take her at least 17 days to buy the car
It will take her about 17 days to buy the car worth 260000 cents
If a student decides she wants to save money to buy a used car that cost $2600 (260,000 cents)
If she saves 2 cents the first day and doubles the amount thereafter, the sequence of savings will be:
2, 4, 8...
This sequence is geometric in nature
In order to determine how long it will take her to save 260,000, we will use the sum of a GP formula expressed as:
[tex]S_n = \frac{a(r^n-1)}{r-1}[/tex]
Given the folowing
a = 2
r = 4/2 = 8/4 = 2
Sn = 260,000
Substitute into the formula the given parameters
[tex]260000= \frac{2(2^n-1)}{2-1}\\260000/2=2^n-1\\130000 = 2^n - 1\\2^n = 130000 + 1\\2^n = 130001\\nlog 2=log130001\\n = \frac{log130001}{log2} \\n \approx 17[/tex]
This shows that it will take her about 17 days to buy the car worth 260000 cents
Learn more here: https://brainly.com/question/20548958
I need help answering this question thank guys
Answer:
b
Step-by-step explanation:
the square root of 8 is 2 and the square root of 18 is 4.5 and both simplified is 4/9.
Aslo did this last week.
Which system of inequalities is shown in the graph?
36 > (x + 3)2 + (y – 2)2 and 16 > (x – 4)2 + y2
36 > (x – 2)2 + (y + 3)2 and 16 > (x – 4)2 + y2
36 < (x + 3)2 + (y – 2)2 and 16 > (x – 4)2 + y2
36 < (x – 2)2 + (y + 3)2 and 16 > (x – 4)2 + y2
Answer:
(x-2)^2 +(y+3)^2 >36 and (x-4)^2 +(y)^2 < 16
Step-by-step explanation:
The equation of a circle is (x-h)^2+(y-k)^2 = r^2
We are outside the yellow circle The yellow circle has a radius of 6 and a center at (2, -3)
(x-2)^2 +(y--3)^2 > 6^2
(x-2)^2 +(y+3)^2 > 36
We are also inside the blue circle which has a radius of 4 and a center of (4,0)
(x-4)^2 +(y-0)^2 < 4^2
(x-4)^2 +(y)^2 < 16
Answer:
D.) 36 < (x – 2)2 + (y + 3)2 and 16 > (x – 4)2 + y2
Step-by-step explanation:
Edge 2022
5x + 2y + 19 = 0 3x + 4y + 17 = 0
Answer:
x = -3; y = 2
Step-by-step explanation:
5x + 2y + 19 = 0
3x + 4y + 17 = 0
-10x - 4y - 38 = 0
3x + 4y + 17 = 0
-7x - 21 = 0
x = -3
5(-3) + 2y = -19
2y = -4
y = -2
Answer: x = -3; y = 2
True or False: A line perpendicular to x=7 has a slope of 0
Answer:
True, I believe
Step-by-step explanation:
Answer:
The answer is yes because its horizontal
60kg of rice must be put into three equal bags. what weight of rice must be put into each bag?
Answer:
20kg of rice in each bag
Step-by-step explanation:
we have 60kg of rice and 3 bags. we know that we need to have an eqal amount of rice in each bag so we can divide the 60kgs of rice by 3.
60÷3=20
Checking our Answer:
we can check our work by doing the opposite of division which is multiplication. to check our work we'd have to multiply the dividend (in our case 3) and our quotient (in our case 20) to see if we get the larger dividend (in our case 60) as our answer.
3×20=60
35 POINTS HELP in the figure above the circle has center O and radius 6 what is the length of arc acb
Answer:
9.425 or 3π
Step-by-step explanation:
arc length = 2πr(θ/360)
The angle is 90˚ as indicated by the square symbol.
ABC = 2π6(90/360) = 9.425 or 3π
According to Runzheimer International, a typical business traveler spends an average of $281 per day in Chicago. This cost includes hotel, meals, car rental, and incidentals. A survey of 50 randomly selected business travelers who have been to Chicago on business recently is taken. For the population mean of $281 per day, what is the probability of getting a sample average of more than $268 per day if the population standard deviation is $47?
Answer:
The correct answer is - 97.74%.
Step-by-step explanation:
Given:
sample mean = 281
Std Dev = 47 ==> Sample
Std Dev (s) = std dev/sqrt(n) = 6.0677
Solution:
Find : P( x > 268 )
z = ( x - u )/s = ( 268 - 281 )/6.0677
= -1.9558
then, P( x > 270) = P( Z > -1.9558)
= P( Z <1.9558)
= 0.9747
change into percentage:
= 97.471%
