Answer:
The teacher can make 8 different 3 person teams
Step-by-step explanation:
Since there is a total of 24 students and the teacher wants to make as many 3 person groups as he/she can you would just do 24 divided by 3 which would equal 8 different teams of 3 people. So the teacher can make 8 different groups of 3 people
The expense ratio (in percentage) for large-cap growth mutual funds have the following sample data0.52, 1.06, 1.26, 2.17, 1.55, 0.99, 1.10, 1.07, 1.81, 2.05 0.91, 0.79, 1.39, 0.62, 1.52, 1.02, 1.10, 1.78, 1.01, 1.15The data is believed to be normally distributed.a. Is there compelling evidence for concluding that the population mean expense ratio exceeds 1%? Carry out a test of the relevant hypothesis using a significance level 0.01.b. Referring back to part (a), describe in context type I and II errors and say which error you might have made in reaching your conclusion. The source from which the data was obtained reported that ? = 1.33 for the population of all 762 such funds. So did you actually commit an error in reaching your conclusion?c. Suppose that ? = 0.5, determine and interpret the power of the test in part (a) for the actual value of ? stated in (b).
Answer:
Part a: Since the calculated value of t = 2.412 does not fall in the critical region t > ± 2.539 we conclude that population mean expense ratio does not exceed 1% at 0.01 significance level.
Part b: Yes we accepted the null hypothesis when it is false so we made a type II error.
Part c: Power = 0.6591=0.66
Step-by-step explanation:
Part a:
Let the null and alternate hypotheses be
H0: u ≤ 1 against the claim Ha: u > 1
The significance level is ∝=0.01
As the standard deviation of the population is not given we use t- test which has n-1= 20-1= 19 degrees of freedom
This is one tailed test the critical region is t > ± 2.539
The mean is calculated to be 1.24 and standard deviation of the sample = s= 0.4486
We take population mean = u= 1
The test statistic is
t = x`-u/ s/ √n
t= 1.24-1 / 0.445/√20
t= 0.24/0.0995
t= 2.412
Since the calculated value of t = 2.412 does not fall in the critical region t > ± 2.539 we conclude that population mean expense ratio does not exceed 1% at 0.01 significance level.
Part b:
Type I errors are those errors when the null hypothesis is true and is rejected.
Type II errors are those in which the null hypothesis is false and is accepted.
If we had rejected the null hypothesis as it was true then we would have made a type I error.
Population mean = u = 1.33
And our null hypothesis is u= 1
Yes we accepted the null hypothesis when it is false so we made a type II error.
Part c:
When σ= 0.5
For Part a: μ= 1.33
Power = P (reject H0/ H0 is false)
= 1-β
P (reject H0/ H0 is false) = P (z > 2.539+ (u`-u0) / σ*√n)
= P (z > 2.539+ (1-1.33) /0.5 *√20)
=P (z > 2.539-2.9516)
= P (z > 0.4126)
= 0.5 - P (z= 0.2938) from the area of table.
= 0.5- 0.1591
=0.3409
Power = 1-β = 1- 0.3409= 0.6591=0.66
Answer needed! Answer needed! Answer needed!
Answer:
Points: (1,-1) (4,-1) (4,-3)
Step-by-step explanation:
Hope this helps
Answer:
(1,-1) (4,-1) (4,-3)
Step-by-step explanation:
bye have a good day
What do "Opposites" mean in Elimination?
Answer:
Step-by-step explanation:
what is the meaning of eliminated
How many books could you read in 114 days if you read 2 books every 3 days?
Answer:
76 books
Step-by-step explanation:
2/3 × 114 = 76
__________
Solve for x
3x−2=4x+5
Answer:
the answer for x equal negative 7
Find the area of the shape.
Answer:
78.5 un²
Step-by-step explanation:
A = π · r²
π · 10²
314 un²
314 un² ÷ 4
78.5 un²
For i^2 =-1, (3-i)^2 = ?
A. 8
B. 10
C. 8-6i
D. 8 + 6i
E. 10-6i
Eve surveys the students in her classroom to find out how much time they spent doing their homework last night. The results are plotted in the line plot below. The measurements are rounded to the nearest \dfrac{1}{4}
4
1
start fraction, 1, divided by, 4, end fraction of an hour
Answer: The answer is 5/4 :)
Answer:
5/4 or 1 1/4
Step-by-step explanation:
khan academy
An electronics store advertises that one lucky customer will be given a television at the store's 10th anniversary celebration on the day of the
celebration, 150 customers, of which 82 are less than 30 years old and 68 are 30 years old or more, complete a form to enter for the chance to win
the television. The manager of the store wants to select the winner by drawing a form out of a box, but the box can only hold 100 forms.
Which method ensures both that the manager can use the box for the selection and that each customer has a fair chance of winning?
A. Divide the forms into two lots based on age. Then, randomly select one of the lots and place it in the box Randomly select the
winning customer's form out of the box.
B. Randomly divide the 150 forms into three equal-sized lots. Then, randomly select two of the lots and place them in the box
Randomly select the winning customer's form out of the box
c. Sort the forms alphabetically by last name Then, place the first 100 forms into the box Randomly select the winning customer's
form out of the box
D. Randomly divide the 150 forms into five equal-sized groups. Then randomly select 4 of the groups and place them in the box
Randomly select the winning customer's form out of the box
Answer:
the answer to this question is"B"
B. Randomly divide the 150 forms into three equal-sized lots. Then, randomly select two of the lots and place them in the box
Randomly select the winning customer's form out of the box
What a in electronics?AMPERE - A unit of measure for the flow of current in a circuit. One ampere is the amount of current flow provided when one volt of electrical pressure is applied against one ohm of resistance.
What is the use of electronics?Electronics uses active devices to control electron flow by amplification and rectification, which distinguishes it from classical electrical engineering, which only uses passive effects such as resistance, capacitance and inductance to control electric current flow.
To learn more about Electronics, refer
https://brainly.com/question/18569581
#SPJ2
Please look at the image
Step-by-step explanation:
m∠A = 70°
m∠B = 30°
m∠C = 80°
Sum of all three angles = 70° + 30° + 80° = 180°
Hope it helps....!
Slove it step by step
Answer:
17is the truth
Step-by-step explanation:
Richard drove to the east at 2 kilometers, then 1 kilometer south, and 1 kilometer west to reach home.
Answer:
answer 4 kilometer
Step-by-step explanation:
2 + 1 + 1 = 4
HELPPP
PLLS
DUE RN
WILL
GIVE BRAINLIST
X
X
X
X
Answer:
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Step-by-step explanation:
41/8 = 5.125
Determine if lines AB and CD are parallel, perpendicular, or neither. A(5,-8), B(-2,-10), C(-6,-13), D(-2,1)
Answer: The answer is neither because the slopes are 2/7 and 7/2.
Step-by-step explanation:
While these answers look like they are perpendicular, they are not since the signs are the same. If they were perpendicular the signs would be different. Ex: 2/7 and -7/2. These points are perpendicular since their signs changes as well as being "flipped".
:)
Please help!!! I am stressed so much!!
Answer:
You have to simplify the fraction and turn it into a decimal.
Step-by-step explanation:
Meaning: Make the fraction smaller and turn it into the correct decimal.
EXAMPLE:
2/4 simplified is 1/2
1/2 is equal to 0.50
given sin x= 7/25 abd cos x = 24/25. what is the ratio for tan x?
Answer:
Solution given:
[tex] sin x=\frac{7}{25}[/tex]
[tex]Cosx=\frac{24}{25}[/tex]
Tanx=[tex]\frac{sinx}{cosx}=\frac{\frac{7}{25}}{\frac{24}{25}}[/tex]
Tan x=[tex] \frac{7*25}{24*25}[/tex]
tan x=[tex] \frac{7}{24}[/tex]
is a required answer.
1 hundredth + 3 tenths =?hundredths
Answer:
.01 + .3 = 0.31
Step-by-step explanation:
Can someone help me please???
Simplify.
(x^5)^4
Answer:
x^20 please mark me brainliest
Step-by-step explanation:
what is the volume of the aquarium?
Answer:
3000 in3 ? I haven't actually done this i-ready before- but I believe it's
Width x Length x Height = Final result?
Step-by-step explanation:
What’s the solution for this?
Answer:
( -1 , 5 )
Step-by-step explanation:
Solution = Coordinate where the two lines intersect
The two lines intersect at ( -1 , 5 )
Thus solution = ( -1 , 5 )
ILL MARK U BARINLIEST HELP!!!!!!!!!!!!
A ball is tossed into the air. The quadratic function h(t) = -16t^2 + 14t + 5 represents the situation, where t represents the time, in seconds, after the ball is tossed and h(t) represents the height of the ball, in feet. Which of the following statements is NOT true
A- the constant term represents the height from which the ball was tossed.
B- The factors of the function can help determine when the ball hit the ground.
C- The leading coefficient indicates that the graph of the parabola that represents the ball's height over time will open in an upward direction.
D- The graph of the parabola that represents the ball's height over time will have a relative maximum.
how is y=2x^2-8x+9 rewritten in vertex form.
9514 1404 393
Answer:
y = 2(x -2)^2 +1
Step-by-step explanation:
Start by factoring the leading coefficient from the x-terms.
y = 2(x^2 -4x) +9
Now identify the coefficient of x, -4, and figure half of that: -2. Square this number and add it inside the parentheses. At the same time, subtract the equivalent value outside parentheses. (The leading coefficient must be taken into account.)
y = 2(x^2 -4x +4) +9 -2(4)
Put in the desired form.
y = 2(x -2)^2 +1
This matches vertex form ...
y = a(x -h)^2 +k . . . . . . . . . vertical scale factor 'a'; vertex (h, k)
I need this please ya
GE = 26
Step-by-step explanation:
OP = 16 + 9 = 25
PE - OG = 7
Using Pythagorean theorem,
(GE)^2 = (OP)^2 + (PE - OG)^2
=(25)^2 + (7)^2
= 625 + 49
= 674
or
GE = √674 = 25.96 or 26
Let X and Y denote the latitude and longitude of a person who is thought to be lost in a certain part of a forest. If we assume that the density of X is uniform for 2 < X < 8.2 and the density of Y is also uniform for 3.01 < Y < 6.3, and we assume that X and Y are independent, then the joint density of X and Y is
Answer:
P(X, Y) = 1/(20.398 ) if X ∈ (2, 8.2) and Y ∈ (3.01, 6.3)
P(X, Y) = 0 if X ∉ (2, 8.2) and Y ∉ (3.01, 6.3)
Step-by-step explanation:
We know that the possible values of X (all with the same probability) are:
2 < X < 8.2
And for Y we have the range (also uniform):
3.01 < Y < 6.3
Then we have a rectangle of area.
(8.2 - 2)*(6.3 - 3.01) = 20.398
Such that the probability for all the points inside the rectangle should be exactly equal, then we will have:
P(X, Y) = 1/(20.398 ) if X ∈ (2, 8.2) and Y ∈ (3.01, 6.3)
Such that if we integrate this in the given region, the integral will be equal to 1, as we should expect.
And zero if the point is outside that region, this is:
P(X, Y) = 0 if X ∉ (2, 8.2) and Y ∉ (3.01, 6.3)
Your class earned $110.00 Saturday afternoon by washing cars to raise money for a class trip. This is 14 of the money needed for the trip. What is the total amount needed?
Answer: $1,540.00 is the total amount needed for the class trip
Step-by-step explanation:
Data: $110.00 earned for class trip
14th of the money needed
Money needed: x
Step one, Make the equation
110x14=x
Reason: Since we know 110.00 is a 14th of the money needed, we know multipling it by 14 will get us the money needed for the class trip. Having it in an equation will make it easier to solve.
Step two, Evaluate the equation
110x14=x=1540=x
Reason: The only thing that was left to do was to multiply 110 by 14 to get 1540 since the x was already isolated to begin with. That leaves us with the answer of x=1540.
However, since this is a real world problem, we have to make the answer more realistic so the final answer is '$1,540.00 is the total amount needed for the class trip'
I hope this helps!
The question is below.
Answer:
3/14
Step-by-step explanation:
12/56 is equivalent to 3/14
Answer:
14
Step-by-step explanation:
We simplify the fraction 12/56 by dividing the top and bottom by 4 to get 3/14. Thus, it is clear that the question mark is 14.
In a survey of 802 U.S. adult drivers, 265 state that traffic is getting worse in their community. Construct a 95% confidence interval for the proportion of residents who think traffic is getting worse in their community.
Answer:
The 95% confidence interval for the proportion of residents who think traffic is getting worse in their community is (0.2978, 0.3630).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
In a survey of 802 U.S. adult drivers, 265 state that traffic is getting worse in their community.
This means that [tex]n = 802, \pi = \frac{265}{802} = 0.3304[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3304 - 1.96\sqrt{\frac{0.3304*0.6669}{802}} = 0.2978[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3304 + 1.96\sqrt{\frac{0.3304*0.6669}{802}} = 0.3630[/tex]
The 95% confidence interval for the proportion of residents who think traffic is getting worse in their community is (0.2978, 0.3630).
i would love a little help
Step-by-step explanation:
36A) AB = 4/ sin 30° = 4/ 0.5 = 8 cm
36B) AC = 4/ tan 30° = 4/ 0.577 = 6.9 cm
36C) BD = 4/sin 45° = 4/ 0.707 = 5.7 cm
36D) area of ∆ABC = ½×6.9×4= 13.8 cm²
36E) sin A = sin 30° = 0.5
Evaluate the expression when
a = 0.3
b = 0.5
c = 0.25
Answer:
See The Image Below:)
Step-by-step explanation:
BRAINLIEST IF YOUR CORRECT PLEASE HELP HURRY!
The admission fee at an amusement park is $3.50 for children and 13.00 for adults. On a certain day, 288 people entered the park, and the admission fees collected totaled $2,338.00. How many children and how many adults were admitted?
There were ___ children and ____ adults admitted into the park
Answer:
148 children and 140 adults were admitted.
Step-by-step explanation:
Given that the admission fee at an amusement park is $ 3.50 for children and $ 13.00 for adults and on a certain day, 288 people entered the park, and the admission fees collected totaled $ 2,338.00, to determine how many children and how many adults were admitted you must be perform the following calculation:
13 - 3.5 = 9.50
288 x 3.50 = X
1.008 = X
2338 - 1008 = 1330
1330 / 9.5 = 140
288 - 140 = 148
148 x 3.5 + 140 x 13 = X
2338 = X
Therefore, 148 children and 140 adults were admitted.