Answer:
54
Step-by-step explanation:
Multiply 9 (players per team) and 6 (teams in the league) to find the total players in the league.
9 times 6 = 54
Consider the set {1, 2, 3, 4}.
a. Make a list of all samples of size 2 that can be drawn from this set of integers.
b. Construct the sampling distribution of sample means for samples of size 2 selected from this set.
c. Provide the distribution both in the form of a table and histogram.
Answer:
(a)
[tex]List = \{(1,1),(1,2),(1,3),(1,4),(2,1),(2,2),(2,3),(2,4),(3,1),(3,2),(3,3),(3,4),\\(4,1),(4,2),(4,3).(4,4)\}[/tex]
(b) Sampling Distribution (Table)
[tex]\begin{array}{cccccccc}{\bar x} & {1} & {1.5} & {2} & {2.5} & {3} & {3.5} & {4} & {Pr}& {\frac{1}{16}} & {\frac{1}{8}} & {\frac{3}{16}} & {\frac{1}{4}} & {\frac{3}{16}} & {\frac{1}{8}} & {\frac{1}{16}} \ \end{array}[/tex]
(b) Sampling Distribution (Histogram)
See attachment
Step-by-step explanation:
Given
[tex]Set = \{1,2,3,4\}[/tex]
[tex]n =4[/tex]
Solving (a): A list of sample size 2
We have:
[tex]n =4[/tex]
[tex]r = 2[/tex] --- the sample size
First, we calculate the number of list using permutation (orders matter)
[tex]n(List) = n^r[/tex]
So, we have:
[tex]n(List) = 4^2[/tex]
[tex]n(List) = 16[/tex]
And the list is:
[tex]List = \{(1,1),(1,2),(1,3),(1,4),(2,1),(2,2),(2,3),(2,4),(3,1),(3,2),(3,3),(3,4),\\(4,1),(4,2),(4,3).(4,4)\}[/tex]
Solving (b): Sample distribution of sample means of (a)
First, calculate the mean of each set using:
[tex]Mean = \frac{Sum}{2}[/tex]
So, we have:
[tex](1,1) \to \frac{1+1}{2} \to 1[/tex] [tex](1,2) \to \frac{1+2}{2} \to 1.5[/tex] [tex](1,3) \to \frac{1+3}{2} \to 2[/tex] [tex](1,4) \to \frac{1+4}{2} \to 2.5[/tex]
[tex](2,1) \to \frac{2+1}{2} \to 1.5[/tex] [tex](2,2) \to \frac{2+2}{2} \to 2[/tex] [tex](2,3) \to \frac{2+3}{2} \to 2.5[/tex] [tex](2,4) \to \frac{2+4}{2} \to 3[/tex]
[tex](3,1) \to \frac{3+1}{2} \to 2[/tex] [tex](3,2) \to \frac{3+2}{2} \to 2.5[/tex] [tex](3,3) \to \frac{3+3}{2} \to 3[/tex] [tex](3,4) \to \frac{3+4}{2} \to 3.5[/tex]
[tex](4,1) \to \frac{4+1}{2} \to 2.5[/tex] [tex](4,2) \to \frac{4+2}{2} \to 3[/tex] [tex](4,3) \to \frac{4+3}{2} \to 3.5[/tex] [tex](4,4) \to \frac{4+4}{2} \to 4[/tex]
Write out the sample means (sorted)
[tex]\bar x =\{1,1.5,1.5,2,2,2,2.5,2.5,2.5,2.5,3,3,3,3.5,3.5,4\}[/tex]
Construct a frequency table
[tex]\begin{array}{cc}{\bar x} & {f} & {1} & {1} & {1.5} & {2} & {2} & {3} & {2.5} & {4} & {3} & {3} & {3.5} &{2} & {4} & {1} & Total & 16\ \end{array}[/tex]
Construct the sampling distribution where the probability is calculated using: [tex]\frac{f}{Total}[/tex]
So, we have:
[tex]\begin{array}{cccccccc}{\bar x} & {1} & {1.5} & {2} & {2.5} & {3} & {3.5} & {4} & {Pr}& {\frac{1}{16}} & {\frac{1}{8}} & {\frac{3}{16}} & {\frac{1}{4}} & {\frac{3}{16}} & {\frac{1}{8}} & {\frac{1}{16}} \ \end{array}[/tex]
Make x the subject of h = 4(x + 3y) + 2
#la:What is the axis of symmetry?*
#16: What is the vertex? *
Answer:
Vertex: (-1,-4)
Axis of Symmetry: x=-1
Step-by-step explanation:
The vertex is the minimum of the parabola, or (h,k), which is located at (-1,-4)
The axis of symmetry is a vertical line that marks the halfway point of the parabola, which is equal to x=h. Therefore, the axis of symmetry is x=-1
50 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
Answer:
8.2 m
Step-by-step explanation:
To solve the problem, we use pythagorean theorem, which is a^2 + b^2 = c^2. We are given both the legs, so we can substitute them in:
8^2 + 2^2 = c^2
And simplify to get:
c^2 = 64 + 4
c^2 = 68
Now, we find the square root of both sides to isolate c:
c = √68
√68 is approximately 8.24621125124
This rounded to the nearest tenth is 8.2 m
Zachary purchased a computer for $1,800 on a payment plan. Three months after he purchased the computer, his balance was 1,350. Five months after he purchased the computer , his balance was 1,050. What is an equation that models the balance B after m Months
Answer: y = -150x + 1800
Step-by-step explanation:
1. Find the linear slope of the line between two points.
(Change in Y)/(Change in X)
2. Write out an equation in point slope form.
(y-y1) = m(x-x1)
y-1800 = -150(x-0)
3. Simplify the equation and turn it into slope-intercept form.
y = -150x + 1800
One answer, I’ll mark brainlist, NO LINKS!!!
Answer:
B
Step-by-step explanation:
You must multiply 1/4 to 2/8 so you can subtract
If Jorgen has $4,000,000,000,000 And he wants to buy a truck123456789,-0000000000000000000000000000000000000,00000000000000000000000,00000000000000000000 haw much will he need to save up to buy the truck?
He doesn't need a truck. He can buy an aeroplane.
Answer:
Jorgen would still have enough money for the truck.
Step-by-step explanation:
Seeing as - (or negative) 0000000000000... isn't a real number and you put a comma after the 123456789, Jorgen would actually have enough for the truck. If you actually wanted the truck to be worth 123456789000000000... Jorgen would need to save up more than 9 octovigintillion to reach his goal of getting the truck, and that is one expensive truck.
Given f(x) and g(x) are polynomials, is the product always a polynomial? Justify your argument.
The product of f(x) and g(x) is , .
select choice(sometimes never always)
a polynomial. By the definition of polynomials the product of polynomials is ,
Select Choice(sometimes never always)
a polynomial because the ,
Select Choice(exponents coefficients variables)
are real numbers and the ,
Select Choice(exponents coefficients variables)
are whole numbers. Real numbers and whole numbers are ,
Select Choice(closed not closed
under addition and subtraction.
The complete statement about the product of the polynomials is that:
The product of f(x) and g(x) is always a polynomial because the coefficients are real numbers and the exponents are whole numbers. Real numbers and whole numbers are closed under addition
How to complete the statementsFrom the question, we have the following parameters that can be used in our computation:
Polynomials f(x) and g(x)
When these polynomials are multiplied;
We get another polynomial
This is because, when you multiply two polynomials you get a sum of monomials.
A sum of monomials is always a polynomial
The sum of monomials stated above implies that the whole exponents and the real coefficients are closed under addition
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△ABC ~ △DEF What is the scale factor between them?
Data for the estimated number of HIV cases worldwide between 1988 and 1996 suggests exponential growth in the number of cases over this time period. An appropriate transformation of the data (base-ten logarithms were used) produced a strongly linear scatterplot, and a regression analysis was performed on the transformed data.
Here is the computer output:
Predictor Constant Coef SE Coef T F
-151.281 2.038 -74.22 0.000
Year 0.076577 0.001023 74.84 0.000
S= 0.00792598 R-Sq= 99.9% R-Sg (adj ) =99.9%
Note that HIV cases are in millions.
Which of the following value is closest to the value that this model predicts for the number of HIV cases in 1998?
(a) 1.72 million cases
(b) 2.18 million cases
(c) 17.2 million cases
(d) 52.5 million cases
(e) The predicted value is negative because we are extrapolating beyond the range o f the explanatory variable
Answer:
d. 52.5 million cases
Step-by-step explanation:
from the data output in the question, we have the regression equation to be
log y = -151.281 + 0.076577x
y is the number of hiv cases which is in millions
x is the year of the hiv case
x = 1998
we put the value of x in the regression equation
log y = -151.281 + 0.076577(1998)
log y = -151.281 + 153.000846
log y = 1.719846
since the result is in log form,
[tex]y=10^{1.791846}[/tex]
y = 52.5 million cases
The graph of a linear function contains the points (4,5), (6, 13). (a, 25). What is the value of a?
4
9
12
36
Answer:
12
Step-by-step explanation:
4,5
6,13
12,24
So I belive it C
A sports statistician claims that the mean winning times for Boston Marathon women's open division champions is 2.68 hours. A sample of 20 randomly is selected Boston Marathon women's open division champions reported a mean winning time of 2.6 hours. Based on the previous records, the standard deviation is 0.32 hour. At 5% level of significance, do you have enough evidence to show that the winning time is different than the claim?
Answer:
Please find the complete question and its solution in the below section.
Step-by-step explanation:
Follows are the null and alternative Hypothesis:
Null Hypothesis [tex]H_0: \mu = 2.68[/tex]
Alternative Hypothesis[tex]H_a: \mu < 2.68[/tex]
find the truth value Of 3+4= 12, then 3+2=6
The truth value of "If 3 + 4 = 12, then 3 + 2 = 6", is true.
What is Truth Values?Truth value is defined as whether the given proposition is either true or false, not both.
Here the proposition is of the form if p, then q.
Here p is the statement 3 + 4 = 12 and q is the statement 3 + 2 = 6.
Here, both of the propositions are false.
The truth value of 'if p, then q' is false only when p is true and q is false. In all other cases the truth value is true.
Here, since both of the statements are false, the truth value is true.
Hence the truth value of the given proposition is true.
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Ryan spots an airplane on radar that is currently approaching in a straight line, and
that will fly directly overhead. The plane maintains a constant altitude of 6300 feet.
Ryan initially measures an angle of elevation of 15 to the plane at point A. At some
later time, he measures an angle of elevation of 31 to the plane at point B. Find the
distance the plane traveled from point A to point B. Round your answer to the
nearest foot if necessary.
If Ryan spots an airplane on radar that is currently approaching in a straight line, and that will fly directly overhead. The distance the plane traveled from point A to point B is: 13,027ft .
How to find the distance?Constant altitude =6300 feet
Angle of elevation =15 to the plane at point A
An angle of elevation =31 to the plane at point B.
So,
Tan 15° = 6300/ON
ON =23,511.92
Tan 31° =6300/OB
OB = 10,484.96
So,
AB =23,511.92 - 10,484.06
AB = 13,026.96
AB = 13,027ft (Approximately)
Therefore the distance is 13,027ft.
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Cali made a drawing for her parents for a gift. She wanted to frame it. Her drawing has an area of 96 cm and a width of 8 cm. How many cm of the wooden frame will she need?
Answer: 40 cm
Step-by-step explanation:
The wooden frame needed = perimeter of the drawing
The length of the picture: 96 :8 = 12cm
The perimeter: (12 + 8) x 2 = 40 cm
A bakery made 100 donuts, in the display case, 40/100 were chocolate, 3/10 were glazed and cinnamon. which fraction of the donuts were cinnamon?
Answer:
57/100
Step-by-step explanation:
d= c/n solve for n, I've been trying to solve this by multiplying by n but i want to solve for n so that's wrong thank you guys :D
Answer:
You started correctly....
Step-by-step explanation:
d = c/n Multiply both sides by 'n'
dn = c now divide both sides of the equation by 'd'
n = c/d Done.
Lana wants to enclose a garden plot each side of the garden will be 9 feet what is the area of the garden
The area of garden will be 81 feet².
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
Each side of the garden = 9 feet
We know that;
⇒ Area of square = Side²
Here, Each side of the garden = 9 feet
Hence, The area of garden = 9²
= 81 feet²
Thus, The area of garden = 81 feet²
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Select the correct answer.
Which statement is true about function f, which is shown in the graph?
f(x) = -805 + 413 + 5x
Answer:
The function is neither even nor odd.
Step-by-step explanation:
A function is odd if:
f(x) = - (f-x)
A function is even if:
f(x) = f(-x)
A function is neither odd nor even if neither of the above two equalities are true, that is to say:
f(x) != f(-x) and f(x) != -f(-x)
Which is our case. (because substituting (-x) in place of (x) will not give us either of the equations. So the function is neither odd, nor even.
Solve
15 - 6(x + 1) = 12
help pls
Answer:
x = -0.5
Step-by-step explanation:
15- 6(x+1) = 12
> 15- 6x -6 = 12
>15 - 6x = 18
>-6x = 3
>x = -0.5
Answer:
1/2
Step-by-step explanation:
15-6(x+1)=12
15-6x-6=12
-6x=12+6-15
-6x=3
x=-1/2
How many edges does the figure have?
3
O
5
6
O O
01
Answer:
It is.... 9! i got it right on edgunity 2022! sorry plase exscuse my spelling! Step-by-step explanation:
What is the value of P for the following triangular prism? 19 yd 12 yd 6 yd 18 yd
Answer:
12 yds
Step-by-step explanation:
I just answered it. :)))
Answer:
option C
Step-by-step explanation:
The answer is 12 yd. All you muxt do is find the volume.
Please help. the answer is not b
Answer:
I believe its C. If not then it is A. :D
Step-by-step explanation:
Single payment loan for $1200 repay in 120days interest rate is 7%, what is the maturity value of the loan?
The maturity value of the loan based on the calculation is $1227.72
How to illustrate the interest?From the information, single payment loan for $1200 repay in 120days interest rate is 7% and we want to calculate the maturity value of the loan.
It should be noted that the interest will be calculated as:
= Principal × Rate × Time
= 1200 × 7% × (120/360)
= 1200 × 0.07 × 0.33
= $27.72
Maturity amount = $1200 + $27.72
Maturity amount = $1227.72.
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<
Quadrilateral A'B'C'D' is the image of quadrilateral ABCD under a translation.
←++
-7-6-5-4-3/2
A translation by
up/down
7-
6+
6543
У
5-
3-
24
2345
-3-
Determine the translation.
Use non-negative numbers.
-5+
-6-
D'
A
34 9/7
B
2
units to the right/left ✓
and
units
Answer:
1 unit to the left, 3 units down
Step-by-step explanation:
Take any point: I will take D. In order to get to D', you need to travel 1 unit along the x-axis towards the left, then 3 until along the y-axis downwards. The same applies for any other point.
or one batch of cookies, Sabrina needs 2 cups of flour. Sabrina is going to make 1, batches of cookies. How much flour will she need? A. О 1 cups B.O 2 cups C. 3 cups D. 3 cups
Answer:
B
Step-by-step explanation:
They basically give the answer.
Answer:
I am a bit confused. You stated that "Sabrina is going to make 1, batches of cookies" and you also wrote "for one batch of cookies, Sabrina needs 2 cups of flour." Hence, your answer should be 2 cups like you previously stated. However, I think that the question is wrong.
Step-by-step explanation:
Plz help me well mark brainliest if correct!!
Answer:
1 hour
Step-by-step explanation:
Each graph shown lasts for 1/2 hour / 30 minutes
Help ASAP no links I will report only answer if you know!!!!
Answer: 380.1
Step-by-step explanation:
v=h*pi*r^2
v=4*pi*5.5^2
v=380.1
A national survey asked 1,501 randomly selected employed adults how many hours they work per week. Based on the collected data, a 95 percent confidence interval for the mean number of hours worked per week for all employed adults was given as (41.18, 42.63). Which of the following statements is a correct interpretation of the interval?
A. Ninety-five percent of all employed adults work between 41.18 hours and 42.63 hours per week.
B. The probability is 0.95 that a sample of size 1,501 will produce a mean between 41.18 hours and 42.63 hours.
C. Of all samples of size 1,501 taken from the population, 95% of the samples will have a mean between 41.18 hours and 42.63 hours.
D. We are 95% confident that the mean number of hours worked per week for employed adults in the sample is between 41.18 hours and 42.63 hours.
E We are 95% confident that the mean number of hours worked per week for all employed adults is between 41.18 hours and 42.63 hours.
Answer:
C
Step-by-step explanation:
The correct statement about the interpretation of the interval is
We are 95% confident that the mean number of hours worked per week for employed adults in the sample is between 41.18 hours and 42.63 hours.
Option D is the correct answer.
What is a confidence interval?A confidence interval is a range of values that is likely to contain the true value of an unknown parameter, such as a population means or proportion, based on a sample of data from that population.
It is a statistical measure of the degree of uncertainty or precision associated with a statistical estimate.
We have,
We are 95% confident that the mean number of hours worked per week for employed adults in the sample is between 41.18 hours and 42.63 hours.
This is the correct interpretation of the 95% confidence interval given for the mean number of hours worked per week for all employed adults, based on the data collected from the random sample of 1,501 employed adults.
It means that if we were to take many random samples of 1,501 employed adults from the population and calculate the mean number of hours worked per week for each sample, we can be 95% confident that the true population mean lies between 41.18 hours and 42.63 hours.
Thus,
The correct statement about the interpretation of the interval is
We are 95% confident that the mean number of hours worked per week for employed adults in the sample is between 41.18 hours and 42.63 hours.
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simply the following
Answer:
n
Step-by-step explanation:
[tex]\Bigg[\bigg[ [1/n]^{-1}\bigg]^{-1} \Bigg] ^{-1}[/tex]
=[tex]\bigg[ [1/n]^{-1}\bigg]^{(-1) (-1)}[/tex]
=[tex]\bigg[ [1/n]^{-1}\bigg]^{1}[/tex]
=[tex] [1/n]^{-1\times 1}[/tex]
=[tex] [1/n]^{-1}[/tex]
=[tex] [1/n^{-1}][/tex]
= n
Hope it helps you in your learning process