Of nine executives in a business firm, four are married, three have never married and two are divorced. Three of the executives are to be selected for a promotion. Let Y1 denote the number of married executives and Y2 be the number of never-married executives among the three selected for promotion. Assuming that the three are randomly selected from the nine available.
a. Find the joint PMF for y1 and y2
b. Find the marginal probability distribution of y1
c. If we let y3 denote the number of divorced executives among the three selected for promotion. Find P(y3 =1 | y2 = 1)
d. Are Y1 and Y2 independent? Why?
e. Find cov(Y1,Y2). Does the sign surprise you? Why?
Answer:
werere
Step-by-step explanation:
were
Which is the equation of the given line? X=4, y=2x , y=2, x=2
The given graph represents the equation of line x = 2.
Equation of a line?The equation of line is an algebraic form of representing the set of points, which together form a line in a coordinate system.
According to the given question
we have,
" A graph of the equation of line"
As we know that, " x = 'a number' is always a vertical line, passing through the x-axis at the value of x".
In the given graph, the vertical line only have an x-intercept and the equation of y-axis is x = 0. Also the vertical line intersecting x-axis at (2, 0).
Hence, the given graph is the equation of line "x = 2".
Learn more about the equation of line here:
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On Mother’s Day, 86 children were interviewed, and 15 said they were going to buy a chocolates for their mother, 25 said they were going to take their mother for vacation and 18 said they were going to buy their mother roses. Of these, 8 said they were going to buy a chocolate and take their mother for vacation. Five said they were going to buy both chocolate and roses, and eleven said they were going to buy their mother roses and take their mother for vacation. Only two children said they were going to treat their mother to all three, but chocolates, roses and take for vacations.
i. Illustrate the situation above with the Venn diagrams.
ii. How many children are going to buy chocolates and take their mother for vacation but not
buy them roses.
Answer:
do you need the answer?
Step-by-step explanation:
?
The game of Scrabble has 100 tiles. The diagram shows the number of tiles for each letter and the letter's point value. One tile is drawn from Scrabble's 100 tiles. Find the probability of selecting an O or a V.
Answer:
10%
Step-by-step explanation:
In the image attached below, we can see that there are
8 tiles of letter O
2 tiles of letter V
This means that there are 10 total tiles of the letters that you want to get (O and V). Since there are a total of 100 tiles we need to divide this value by 100 to get the probability of getting one of these tiles.
10 / 100 = 0.10 or 10%
Finally, we can see that the probability of selecting a O or a V is 10%
Answer: 8% of O, 2% of V
Step-by-step explanation: There are 8 O tiles and 2 V tiles
y''+2y'+y=e^2x how to solve it?
Answer:
[tex]y=C_1e^{-x}+C_2xe^{-x}+\frac{1}{5}e^{2x}.[/tex]
Step-by-step explanation:
all the details see in the attached picture.
8. Jordan's fish tank was only 62.5% full so
he added some water to it so it got to 80%
full. If the tank now has 40 gallons of water
in it, how many gallons did he add?
12. When
salar
was s
of his
your
A. 8.25 gallons
B. 8.5 gallons
C. 8.75 gallons
D. 9 gallons
13. The
pls help help me plssss i need real answers :( asap its maths I will give the brainliest whoever's answer the real question pls
Answer:
13.34 pm
22.43 pm
16.22 pm
i cant see the last one clearly
THE TOPIC IS: AREA OF CIRCLES!! PLEASE HELP ME WITH THIS QUESTION!!! WHATS THE ANSWER?? I WILL GIVE YOU BRAINLIEST AND A THANKS!!! AND PLS PUT AN EXPLANATION!! THANK YOU GUYS SO MUCHHHH!! CAN U PLS DO BOTH OF THESE!! :))
Answer:
8) 78.5 in.
11) 28.26 m
Step-by-step explanation:
The formula for area of a circle is πr^2 (pi ⋅ radius ⋅ radius).
Here, only the diameter is shown.
To find the radius, we must divide the diameter (10) by 2.
10/2 = 5.
So, 5 is the radius.
Now, we plug in the numbers.
pi ⋅ radius ⋅ radius
(3.14 is commonly used for pi)
3.14 ⋅ 5 ⋅ 5 = 78.5
78.5 is the area of this circle.
Now, to find the area of this circle, we simply repeat the steps.
6/2 = 3
pi ⋅ radius ⋅ radius
3.14 ⋅ 3 ⋅ 3 = 28.26
David invests $7000 in two different accounts. The first account paid 2 %, the second account paid 5
% in interest. At the end of the first year he had earned $182 in interest. How much was in each
account?
Answer:
3,990
Step-by-step explanation:
please i’ve gotten two wrong and i need to pass this
Answer:5 and 92
Step-by-step explanation:
Answer:
Step-by-step explanation:
what's the answer choices ??
6x = 72
one step equation
Answer:
Hi! The answer to your question is x = 12
Step-by-step explanation:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☆Brainliest is greatly appreciated!☆
Hope this helps!!
- Brooklynn Deka
There are 230 calories in 4 ounces of ice cream. How many calories are in 6 ounces of that ice cream?
Answer:
345 calories
Step-by-step explanation:
The easiest way to do this is to find out how many calories there are for 1 ounce. So 230 divided by 4, equals 57.5. So if 57.5 calories are in one ounce, then you just multiply by 6 to get your answer.
57.5 x 6 = 345 calories
Examine the following graph, where a transformation maps P(x)
to I(2).
Answer:
Reflection over the x-axis
Step-by-step explanation:
what’s the area of this triangle
8m
62°
12m
Answer:
So i got 208 but to the nearest tenth will be 210 hope it helps
Step-by-step explanation:
Geometry help!! I don’t know how to do this
9514 1404 393
Answer:
659.52 cm^2
Step-by-step explanation:
In order to find the surface area of this figure, we need to know the dimensions of the base. If we assume the base is square, then the distance from its center to the center of one edge is half the dimension of one side of the base.
That center-to-edge distance (x) can be found from the given dimensions using the Pythagorean theorem.
x^2 + (15.4 cm)^2 = (17 cm)^2
x^2 = (289 -237.16) cm^2 = 51.84 cm^2
x = √51.84 cm = 7.2 cm
This means the edge length of the prism base is 2×7.2 cm = 14.4 cm.
__
The total surface area of the square prism is ...
A = b^2 +2bs . . . where b is the edge length of the base, s is the slant height
A = (14.4 cm)^2 + 2(14.4 cm)(17 cm) = 659.52 cm^2
The total surface area of this square pyramid is 659.52 cm^2.
Suppose 0 is an angle in the standard position whose terminal side is in
Quadrant IV and cos=12/37Find the exact values of the five remaining
37
trigonometric functions of 0
Answer:
Answers Below.
Step-by-step explanation:
Hello!
Let's first identifiy where the tereminals side actually is - Quadrant II. The original angle and the reference angle together form a straight line along the x-axis, so their sum is 180°. The second quadrant is in the upper left-hand corner of the plane. X has negative values in this quadrant and y has positive values. Quadrant III: The third quadrant is in the bottom left corner. Both x and y have negative values in this quadrant. The fourth quadrant (Q IV) is in the bottom right corner. X has positive values in this quadrant and y has negative values. Quadrant I of course has all positive values.
The five tig functions are:
Sine (sin)
Cosine (cos)
Tangent (tan)
Secant (sec)
Cosecant (csc)
Cotangent (cot)
The question asks for us to use the value of theta to find the rest of the trig values.
costheta=12/37 = 0.9999
Now, plug this number into the rest of them!
sin(0.9999)=0.01745
tan(0.9999)=0.01745
The last three are just reciporcals of the previous functions:
sec(x) = 1/ cosx = 1/cos(0.9999) = 1.0002
csc(x) = 1/ sinx = 1/sin(0.9999)= 57.304
cot(x) = 1/tanx = 1/tan(0.9999)= 57,296
The point of the unit circle is that it makes other parts of mathematics easier and neater. For instance, in the unit circle, for any angle θ, the trig values for sine and cosine are clearly nothing more than sin(θ) = y and cos(θ) = x.
Because the answers are in Quadrant IV, all the x values will be positive.
Hope this helps!
What is the area of the triangle?
Answer:
height ×base divided by two
Each face of a small cube has a surface area of 0.25 square meters. A larger cube has edges that are six times as long as the edges of the small cube. What is the volume of the larger cube?
Answer:
1534
Step-by-step explanation:
34 35 baby you might need a seatbelet
What is the probability the spinner will land on red or white?
Answer:
I think either 1/10 or 2/5
Step-by-step explanation:
a house is sold for 234000 which gives a profit of 12% find the actual profit
State the change from the parent function in dotted black to the transformed function in blue.
A. The transformed function shifted 2 units down.
B. The transformed function shifted 2 units up.
C. The transformed function shifted 1 unit to the right.
D The transformed function did not shift.
Answer:
transformed function did not shift
What expression is equivalent to 5(4x+3)-2x
Answer:
18x+15
Step-by-step explanation:
This is basically asking you to simplify the expression.
5(4x+3)-2x
Distribute the 5
20x+15-2x
Combine like terms (x values)
18x+15
Find the 110 term of the sequence -7,3, 13, 23, ..
Answer:
I think the answer would be 1083
Step-by-step explanation:
Hope it helps .
Find the equation of the line with the given properties: passes
through (0,-9) and (-2,-9).
Answer:
I WRITE THE STEPS
Step-by-step explanation:
Find the Equation of a Line Given That You Know a Point on the Line And Its Slope. The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept. If you a point that a line passes through, and its slope, this page will show you how to find the equation of the line.
There are 74 milligrams of cholesterol in a 3.9 oz serving of lobster how much cholesterol is in 8 ounces of lobster
9514 1404 393
Answer:
151.8 mg
Step-by-step explanation:
Assuming the cholesterol content (c) is proportional to the serving size, we have ...
c/8 = 74/3.9
c = 8(74/3.9) ≈ 151.8 . . . . mg of cholesterol
First grey box options:
1)reflection
2) rotation
3)translation
Second grey box options:
1) reflection
2) rotation
3) translation
Answer:
1) reflection
2) translation
Step-by-step explanation:
Figure 0 is first reflected across the x-axis, and then moved 4 spaces to the left, although it could also be seen the other way around.
The only options that aren't possible are any influcing rotation, since the two shapes aren't translated, and rotation-rotation and translation-translation.
Please help me on this question! And explain how you got your answer please!
Answer:
she has a total of 140 coins
Step-by-step explanation:
x is coins in total
5/100 times x = 7
0.05 times x = 7
x = 7/0.005
x = 700/5
divide that you get 140
Answer:
Maybe 7.14285714?
Step-by-step explanation:
50% divided by 7?
I'm sorry I just guessed
what is the probability that Sonny rolls a number on the number cube that is greater or equal to 5 and the spinner lands on Section labeled a
Answer:
your mom and do it yourself iinstead of getting it online
Step-by-step explanation:
btw im Purp
A psychologist is interested in whether hypnosis affects brain dominance. Twelve college students from the freshmen class are randomly sampled for an experiment. The experiment has two conditions which are given on different days. In condition 1, the students are hypnotized and then given a test which measures the relative dominance of the right and left hemispheres. The higher the score, the more dominant is the right hemisphere. In condition 2, the same students are given the test again, only this time they are not hypnotized but are in their normal state of consciousness. The following scores are obtained:
Student 1 2 3 4 5 6 7 8 9 10 11
Condition 1 26 15 22 19 23 37 16 17 14 16 21
Condition 2 12 13 18 17 21 22 11 22 10 14 15
Answer the following questions and show your work for each mathematical question:
a. What is the (non-directional) alternative hypothesis?
b. What is the null hypothesis?
c. What is the p value?
Answer:
[tex](a)\ H_a : d_1 - d_2 \ne 0[/tex]
[tex](b)\ H_0 : d_1 - d_2 = 0[/tex]
[tex](c)\ p\ value = 0.0216[/tex]
Step-by-step explanation:
Given
The above data
The question says 12 college students were sampled. However, data for 11 students were provided.
So, I will solve this question using 11 students i.e. n = 11
Solving (a): The alternative hypothesis
Let the relative dominance of the hypnotized students (condition 1) be [tex]d_1[/tex] and the relative dominance of the non-hypnotized students (condition 2) be [tex]d_2[/tex], respectively
The alternative hypothesis is the difference between these relative dominance not equal to 0.
So:
[tex]H_a : d_1 - d_2 \ne 0[/tex]
Solving (b): The null hypothesis
The null hypothesis is the difference between these relative dominance equal to 0.
Using the same notation as (a), the null hypothesis is:
[tex]H_0 = d_1 - d_2 = 0[/tex]
Solving (c): The p value
Using paired samples t test:
First, calculate the difference in scores
[tex]i.e.\ Condition\ 1 - Condition\ 2[/tex]
The difference (d) is as follows:
[tex]d: 14, 2, 4,2, 2, 15, 5, -5, 4, 2, 6[/tex]
Next, calculate the mean of the differences:
This is calculated as:
[tex]\mu = \frac{\sum x}{n}[/tex]
[tex]\mu = \frac{14+ 2+ 4+2+ 2+ 15+ 5 -5+ 4+ 2+ 6}{11}[/tex]
[tex]\mu = \frac{51}{11}[/tex]
[tex]\mu = 4.6364[/tex]
Next, calculate the standard difference of the differences.
This is calculated as:
[tex]\sigma = \sqrt{\frac{\sum(x - \mu)^2}{n-1}}[/tex]
So:
[tex]\sigma = \sqrt{\frac{(14 - 4.6364)^2+ (2- 4.6364)^2+ (4- 4.6364)^2+ ............ (6- 4.6364)^2}{11-1}}[/tex]
[tex]\sigma = \sqrt{\frac{318.54545456}{10}}[/tex]
[tex]\sigma = \sqrt{31.854545456}[/tex]
[tex]\sigma = 5.64398[/tex]
Next, calculate the standard error of the mean difference.
This is calculated as:
[tex]SE = \frac{\sigma}{\sqrt{n}}[/tex]
[tex]SE = \frac{5.64398}{\sqrt{11}}[/tex]
[tex]SE = \frac{5.64398}{3.3166}[/tex]
[tex]SE = 1.70173[/tex]
Next, calculate the degree of freedom (df)
[tex]df = n -1[/tex]
[tex]df = 11 -1[/tex]
[tex]df = 10[/tex]
Lastly, calculate the test statistics (t)
This is calculated as:
[tex]t = \frac{\mu}{SE}[/tex]
[tex]t = \frac{4.6364}{1.70173}[/tex]
[tex]t = 2.72452[/tex]
[tex]t \approx 2.72[/tex]
From the t distribution table:
Where [tex]df = 10[/tex] and [tex]t = 2.72[/tex]
We have:
[tex]P(t > 2.72) = 0.0108[/tex]
For a two-tailed test, the p value is
[tex]p\ value = 2 * P(t > 2.72)[/tex]
[tex]p\ value = 2 * 0.0108[/tex]
[tex]p\ value = 0.0216[/tex]
Find the length of are ab
Answer:
20.97?
Step-by-step explanation:
Use the Sine rule!
