Determine the marginal distribution of Gender. In paragraph form, how you calculated the marginal distribution. Include your calculations in your explanation.
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The marginal distribution for gender tells you the probability that a randomly selected person taken from this sample is either male or female, regardless of their blood type.
In this case, we have total sample size of 714 people. Of these, 379 are male and 335 are female. Then the marginal probability mass function would be
[tex]\mathrm{Pr}[G = g] = \begin{cases} \dfrac{379}{714} \approx 0.5308 & \text{if }g = \text{male} \\\\ \dfrac{335}{714} \approx 0.4692 & \text{if } g = \text{female} \\\\ 0 & \text{otherwise} \end{cases}[/tex]
where G is a random variable taking on one of two values (male or female).
Related Questions
help please dont know how to do this
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What is the solution to this system of equations?
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Answer:
C
Step-by-step explanation:
C. x=7, y=5
Sherri solved the equatjon 1/5(x-20)=45. For each step, write the name of the property sherri used
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Answer: The awnser is linear.
I hope this helped.
Step-by-step explanation:
if f(x) = 4x²-2 then f(-3) is
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Step-by-step explanation:
We are going to plug -3 into the equation of f(x) = 4x²-2.
f(-3) = 4(-3)²-2
f(-3)=36-2
f(-3)=34
The answer to this question is 34.
I hope this helps!! :)
how do you distribute this
(x+5)(x-5)
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see the attachment photo.
Answer:
2x-5
Step-by-step explanation:
Thats the answer
Five dogs were running in a race. Bandit completed the race in 10 seconds after Sergeant and 30 seconds before Sally. Smokey completed the race 10 seconds before Sally and 25 seconds after Tobie. Which list correctly shows the dogs from first to last place?
A B C D
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Answer:
Sergeant, Tobie, Bandit, Smokey, Sally
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
On a coordinate plane, a circle has a center at (negative 2, 0). Point (negative 2, 4) lies on the circle.
Distance formula: StartRoot (x 2 minus x 1) squared + (y 2 minus y 1) squared EndRoot
Does the point (1, StartRoot 7 EndRoot) lie on the circle shown?
Explain.
Yes, the distance from (–2, 4) to (1, ) is 4 units.
Yes, the distance from (–2, 0) to (1, StartRoot 7 EndRoot) is 4 units.
No, the distance from (–2, 0) to (1, StartRoot 7 EndRoot) is not 4 units.
No, the distance from (–2, 4) to (1, StartRoot 7 EndRoot) is not 4 units.
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The correct answer to where the point(1, StartRoot 7 EndRoot) lies on the circle is A. Yes, the distance from (–2, 0) to (1, StartRoot 7 EndRoot) is 4 units
What is a Coordinate Plane?This refers to the tool that is used to graph points on a two-dimensional plane that intersects two number lines.
Hence, given the information in the given diagram, there is a coordinate plane that shows a circle at the center that has certain values on the y and x-axis.
We can state that the point (1, StartRoot 7 EndRoot) lies on the circle shown because the distance from (–2, 0) to (1, StartRoot 7 EndRoot) is 4 units.
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Answer: A on edge
Step-by-step explanation:
because i said so
Simplify the expression (10 + 3i)(10 - 3i).
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Answer:
109
Step-by-step explanation:
[tex]\textbf{Assuming}~ i ~\textbf{as the imaginary unit, where}~ i = \sqrt{-1}~ \textbf{and}~ i^2 = -1\\\\\textbf{Given that,}\\\\~~~(10+3i)(10-3i)\\\\=10^2 -(3i)^2~~~~~~~~~~;\textbf{Difference of two squares} ~a^2 -b^2 = (a+b)(a-b)\\\\=100-9i^2\\\\=100-9(-1)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~;{i^2 = -1}\\\\=100+9\\\\=109[/tex]
[tex](a-b)(a+b)=a^2-b^2[/tex]
Therefore
[tex](10 + 3i)(10 - 3i)=100-9i^2[/tex]
Solve the inequality.
−13x+10>17
Which inequality represents the solutions to this inequality?
a) x<7x<7
b) x>−21x>−21
c) x<−21x<−21
d) x>7x>7
Answers
The solution to inequality is less than the negative of 21. Then the correct option is C.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
The inequality is given below.
−(1/3)x + 10 > 17
Then the solution to the inequality will be
−(1/3)x + 10 > 17
−(1/3)x > 17− 10
−(1/3)x > 7
When the sign is changed then the equality sign also changed.
(1/3)x < −7
x < − 21
The value of x is less than the negative of 21.
Thus, the correct option is C.
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Need help with this
Answers
n = 66
Step-by-step explanation:
you can make a proportion 3/99 = 2/x
[tex] \frac{3}{99} = \frac{2}{x} [/tex]
99 * 2= 198
3 * x = 3x
so the equation would be 198 = 3x
than do 198 ÷ 3 on ur calculator
so x (or n in this context) would equal 66
Find the midpoint of the line segment. Please hurry 15 points!
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Answer: Hope this helps you
0,0
The point (-2,-3) is rotated 180 degrees counterclockwise about the origin. What is the y-coordinate of the resulting image
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The direction of rotation is not relevant as going clockwise results in the same location.
A membership at a yoga studio costs $35 per month.
Write an equation for the cost of the membership,that you pay if you keep your membership for months.
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Answer:
35×(m)=c
Step-by-step explanation:
m=months
c=cost
Find m/1.
130°
1
90°
t
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The measure of the angle m1 is 110 degrees
How to determine the measure of angle m1?The measures of the arcs are given as:
Arc 1 = 130
Arc 2 = 90
The measure of the angle is calculated using:
Angle = 0.5 * (Arc 1 + Arc 2)
So, we have:
Angle = 0.5 * (130 + 90)
Evaluate
Angle = 110
Hence, the measure of angle m1 is 110 degrees
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Suppose we want to assess the effect of a one-day SAT prep class at a 5% level of significance. Scores on the SAT writing exam can range from 200 to 800. A random sample of 50 students takes the SAT writing test before and after a prep class. We test the hypotheses: : : where is the mean of the difference in SAT writing scores (after minus before) for all students who take the SAT prep class. The sample mean is 5 with a standard deviation of 18. Since the sample size is large, we are able to conduct the T-Test. The T-test statistic is approximately 1.96 with a P-value of approximately 0.028. What can we conclude
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The conclusion is that since the value of 0.028 is less than 0.05 so we reject the null hypothesis at 5% level of significance and conclude that the mean of the difference in SAT writing scores for all students who take SAT prep class is equal to 0.
What is a null hypothesis?A null hypothesis is a hypothesis that there is no significant difference between specified populations, any observed difference being due to sampling error.
Here, the effect of a one-day SAT prep class at a 5% level of significance was assessed. Since the value of 0.028 is less than 0.05 so we reject the null hypothesis at 5% level of significance and conclude that the mean of the difference in SAT writing scores for all students who take SAT prep class is equal to 0.
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Which line is being represented by the graph?
A
y = 3/4 X -3
B
y = 3/4x + 4
C
y = -3/4x + 4
D
y = -3/4 x - 3
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Answer:
The answer is C, y= -3/4 + 4
Rewrite using exponential notation \root(6)((4\pi )^(3))
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[tex]~\hspace{7em}\textit{rational exponents} \\\\ a^{\frac{ n}{ m}} \implies \sqrt[ m]{a^ n} ~\hspace{10em} a^{-\frac{ n}{ m}} \implies \cfrac{1}{a^{\frac{ n}{ m}}} \implies \cfrac{1}{\sqrt[ m]{a^ n}} \\\\[-0.35em] ~\dotfill\\\\ \sqrt[6]{(4\pi )^3}\implies (4\pi )^{\frac{3}{6}}\implies (4\pi )^{\frac{1}{2}}[/tex]
In the whole number 70,819, the place value of the digit 1 is
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Answer:
ten
hope this helps....
You move left 5 units. You end at (-1, 5). Where did you start?
Answers
Answer:
(4,5)
Step-by-step explanation:
Hello!
If you move 5 units to the left, you change the x-value in (x, y) by -5.
Let the original x-value be x:
x - 5 = -1x = 4The original x-value is 4. Since you didn't change the y-value (up/down), you can keep the same y-value for the coordinate.
The original point was at (4,5)
Answer:
You started at (4, 5)
Step-by-step explanation:
The first number of coordinate pair is x. you started at the right and THEN moved the the left, as stated in the question. So -1 + 5 is 4.
So you started at (4, 5)
can someone please answer this fast! thanks
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Answer:
The choice C.
[tex] {x}^{ \frac{5}{2} } [/tex]
Step-by-step explanation:
[tex] \frac{ {x}^{3} }{ \sqrt{x} } = \frac{ {x}^{3} }{ {x}^{ \frac{1}{2} } } = {x}^{3} \times {x}^{ - \frac{1}{2} } \\ = {x}^{3 \times - \frac{1}{2} } = {x}^{ \frac{5}{2} } [/tex]
Or ;
[tex] \frac{ {x}^{3} }{ \sqrt{x} } = {x}^{2} \sqrt{x} = {x}^{2} \times {x}^{ \frac{1}{2} } \\ = {x}^{2 + \frac{1}{2} } = {x}^{ \frac{5}{2} } [/tex]
A cashier earns $7 an hour. if x is the number of hours worked, which function represents the cashier’s earnings? y = 7x y = x superscript 7 y = startfraction 7 over x endfraction y = 7
Answers
Answer:
y=7x
Step-by-step explanation:
The job pays $7 per 1 hour so to find out how much money you get for x hours, you would multiply the hourly rate ($7) by the amount of hours (x)
Answer:
y=7x
Step-by-step explanation:
edge review 2022
Pls help! I will give brainliest! And pls no links. What is 29 oz to Ib?
Answers
Answer:
1.8125 lb(pounds)
Step-by-step explanation:
there are 16 oz in 1 lb
so 29/16 = 1.8125
How many units is -14 away from 0
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Answer:
14
Step-by-step explanation:
|-14|=14
If tan theta = -3/4 and theta is in Quadrant IV, cos2theta =, and tan2theta =
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Step-by-step explanation:
please mark me as brainlest
Help me with this please
Answers
Answer:
See below
Step-by-step explanation:
1 IS a constant
9x IS a factor
9x is NOT a coefficient ( '9' is a coefficient)
yes it is a sum of three terms
9x and 1 are NOT 'like' terms
is this true or false? please help
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Answer:
true jufhjjzjsjjajajw
What was his mistake?
Answers
Circle the first line.
His mistake was: He substituted y from 2nd equation in 1st equation incorrectly. There is a minus sign before y and it wasn't taken into the account.
The correct steps are:
2x - y = 18
2x - (4x + 2) = 18
2x - 4x - 2 = 18
-2x - 2 = 18
-2x = 20
x = -10
y = 4x + 2
y = 4(-10) + 2
y = -40 + 2
y = -38
In a group of friends were to eat 13 candies, there would be 8 candies left. if each friend were to eat 15 candies, all the candies would be gone. how many friends are there?
Answers
Answer:
4
Step-by-step explanation:
from 13 to 15 you added two more so you have to do 8 divided by 2 which is 4
Germaine measured the height of a plant, H, in centimeters (cm) as a function of days, d, since he planted it in
his yard. The following table shows his data.
d 0 2 4 6 8 10 12
H(d) 8.2 9.6 11.0 12.4 13.8 15.2 16.6
What is the rate of change of the function?
O 1.7 cm per day
O 8.4 cm per day
O 1.4 cm per day
O 0.7 cm per day
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The rate of change of the function the height of a plant is gotten as; D: 0.7
How to find the rate of change?To find the rate of change, we will use the formula;
Rate of change = (y2 - y1)/(x2 - x1)
From the given table, we can solve for the rate of change by picking two consecutive points to get;
Rate of change = (9.6 - 8.2)/(2 - 0)
Rate of change = 1.4/2
Rate of change = 0.7
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If given the equation y = 3(x + 5)2 - 4, what is the vertex of the parabola
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Answer:
The vertex of the parabola is (5, -4).
Hope this helps!