Answer:
Then the probability distribution is:
P(0) = 1/3
P(1) = 4/15
P(2) = 1/5
P(3) = 2/15
P(4) = 1/15
The expected value for X is:
EV = 1.33...
Step-by-step explanation:
We have a total of 6 marbles in the jar.
The probability of getting a red marble in the first try (X = 0) is equal to the quotient between the number of red marbles and the total number of marbles, this is:
P(0) = 2/6 = 1/3
The probability of drawing one green marble (X = 1)
is:
First, you draw a green marble with a probability of 4/6
Then you draw the red one, but now there are 5 marbles in the jar (2 red ones and 3 green ones), then the probability is 2/5
The joint probability is:
P(1) = (4/6)*(2/5) = (2/3)*(2/5) = 4/15
The probability of drawing two green marbles (X = 2)
Again, first we draw a green marble with a probability of 4/6
Now we draw again a green marble, now there are 3 green marbles and 5 total marbles in the jar, so this time the probability is 3/5
Now we draw the red marble (there are 2 red marbles and 4 total marbles in the jar), with a probability of 2/4
The joint probability is:
P(2) = (4/6)*(3/5)*(2/4) = (2/6)*(3/5) = 1/5
The probability of drawing 3 green marbles (X = 3)
At this point you may already understand the pattern:
First, we draw a green marble with a probability 4/6
second, we draw a green marble with a probability 3/5
third, we draw a green marble with a probability 2/4
finally, we draw a red marble with a probability 2/3
The joint probability is:
P(3) = (4/6)*(3/5)*(2/4)*(2/3) = (2/6)*(3/5)*(2/3) = (1/5)*(2/3) = (2/15)
Finally, the probability of drawing four green marbles (X = 4) is given by:
First, we draw a green marble with a probability 4/6
second, we draw a green marble with a probability 3/5
third, we draw a green marble with a probability 2/4
fourth, we draw a green marble with a probability 1/3
Finally, we draw a red marble with a probability 2/2 = 1
The joint probability is:
P(4) = (4/6)*(3/5)*(2/4)*(1/3)*1 = (1/5)*(1/3) = 1/15
Then the probability distribution is:
P(0) = 1/3
P(1) = 4/15
P(2) = 1/5
P(3) = 2/15
P(4) = 1/15
The expected value will be:
EV = 0*P(0) + 1*P(1) + 2*P(2) + 3*P(3) + 4*P(4)
EV = 1*(4/15) + 2*( 1/5) + 3*( 2/15) + 4*(1/15 ) = 1.33
So we can expect to draw 1.33 green marbles in this experiment.
The equation below represents the trend line of a scatter plot showing the hours spent studying versus science test scores. y = 6.5 x + 42.4
The equation below represents the trend line of a scatter plot showing the hours spent studying versus math test scores. y = 7.2 x + 34.7
If a student does not study for either test, on which test should the student expect the higher score?
A) on the science test because the rate of change is greater
B) on the math test because the rate of change is greater
C) on the science test because the y-intercept is greater
D) on the math test because the y-intercept is greater
Answer: C: on the science test because the y-intercept is greater
Step-by-step explanation: I got the question right on edge.
Answer:
C
Step-by-step explanation:
HELP!!! Find the angle measure.
Answer:
AOB=40°
COD=90°
BOD=130°
AOD=180°
Which of these lines is perpendicular to the line 5y = -6x + 2?
Answer:6y= -5x + 3
Step-by-step explanation:
The product of the slope of the perpendicular lines is equal to a negative one. Then the equation of the perpendicular line is 6y = 5x.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
The equation of the line is given below.
5y = -6x + 2
The slope of the equation is -6/5.
Then the equation of the line which is perpendicular to 5y = -6x + 2 is given as
y = mx + c
The product of the slope of the perpendicular lines is equal to a negative one.
The slope of the perpendicular line will be
(-6/5) m = -1
m = 5/6
Then the equation will be
y = (5/6)x + c
Let the equation is passing through the origin, then we have
6y = 5x
More about the linear system link is given below.
https://brainly.com/question/20379472
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The length of a rectangle is 5 cm longer than its width.
If the perimeter of the rectangle is 42 cm, find its area.
Answer:
The area is 104
Step-by-step explanation:
Length: 5 + x
width: x
(5+x)*2=10+2x
x*2=2x
2x+10+2x=42
10+4x=42
-10 -10
4x=32
/4. /4
x=32
5+8=13
13*8=104
2 tables 8 chairs. 1 5/8 quarts paint for 2 tables and 2/3 quarts paint for 8 chairs. How many total quarts paint should you bring for this furniture
Answer:
2 7/24
Step-by-step explanation:
1 5/8 + 2/3
1 15/24 + 16/24
1 31/24 = 2 7/24
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Find the surface area of the following figures.
with solution please. T-T
Answer:
1.a=5cm
Surface area :6a²=6×5²=150cm²
2.r=3cm
h=5cm
total surface area of cylinder =2πr(r+h)
=2π×3(3+5)=48π cm²
3.
l=4m
b=5m
h=2m
now.surface area =2(lb+lh+bh)
=2(4*5+4*2+5*2)
=76m²
4.
r=6cm
surface area =4πr²=4*π*6²=144πcm²
5.
slant height (S)=8cm
length =breadth=(L)=4cm
Surface area of pyramid =area of base + 2* area of trainglular face
=L²+2*S*L
=4²+2*8*4
=80cm²
5. A simple random sample is defined by
(A) the method of selection
(B) how representative the sample is of the population
(C) whether or not a random number generator is used
(D) the assignment of different numbers associated with the outcomes of some
chance situation
(E) examination of the outcome
Answer:
b. because if there is a bigger population the sample will be more random
ANSWER ASAP DONT SEND A FILE WHAT IS THE TRANSFORMATION????
The diameter is 24 cm. Find the
length of arc CD
Answer:
s = 4π Exact answer
s = 12.56 Decimal approximation
Step-by-step explanation:
cicrumference = πd
s = (∅/360)(πd)
s = (60/360)(π * 24)
s = 4π Exact answer
s = 4 * 3.14
s = 12.56 Decimal approximation
I need some help!! I will try to give brainliest!!!
What is remainder one as a fraction?
Answer:
We have a remainder of 1, which we want to write as a fraction. We divide the 1 by 3. The fraction is 1 / 3 .
Step-by-step explanation:
Answer:
We have a remainder of 1, which we want to write as a fraction. We divide the 1 by 3. The fraction is 1 / 3 .
Step-by-step explanation:
if jason had2/7 cakes and 5/9 how much wood that be
Please help me with this question:(
A farmer wants to know the effect of using various amounts of fertilizer in relation to the yield of his crops. He subdivided a portion of his land into 10 separate, but essentially equal, plots. He divided the land so that all of the plots had equal exposure to sun, rain, and other environmental conditions. He randomly selected 2 of the 10 plots and spread 2 pounds of fertilizer over each of them. Then he randomly selected 2 of the remaining plots and spread 3 pounds of fertilizer over each of them. He continued with the last sets of plots in the same manner, spreading 4, then 5, then 6 pounds of fertilizer over each of them. Assume the conditions for regression inference have been satisfied. To construct the 90% confidence interval for the true slope of the population regression equation relating amount of fertilizer to yield.
Required:
How many degrees of freedom does the t-distribution have?
Answer:
Option b is correct answer
Step-by-step explanation:
The complete question is attached herewith
Solution
The equation of a line in given by
y=a +bx where
a is the Y- intercept and
b is the slope
From the given piece of information, we can derive that
coefficient of intercept = 10.1
coefficient of fertilizer= 1.150
Substituting the given values in above equation, we get -
y=10.1+1.150x
Option b is correct answer
given: <1 congruent to <2
prove: AB is congruent to CB
Answer:
Because 3 and 2 are vertical angles
Step-by-step explanation:
Vertical angles are always equal or congruent
What is A line that a graph approaches as x or y increases, but never crosses?
Answer:
Asymptotes. The y -axis is a vertical asymptote of the graph. This means that the curve gets closer and closer to the y -axis but does not cross it. Let us consider what happens as the value of x approaches zero from the right for the equation whose graph appears above.
Step-by-step explanation:
PLEASE HELP!! Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match the trigonometric ratios with their values based on the triangle shown in the diagram
this is the answer on edmentum
The matching will be given below.
12/25 = sin D × cos D3/5 = sin D16/15 = cos C × tan D4/5 = sin CWhat is a right-angle triangle?It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
The value of sin C will be
sin C = 3 / 5
The value of sin D will be
sin D = 4 / 5
The value of cos C will be
cos C = 4 / 5
The value of cos D will be
cos D = 3 / 5
The value of tan C will be
tan C = 3 / 4
The value of tan D will be
tan D = 4 / 3
The product of sin D and cos D will be
sin D × cos D = (4 / 5) × (3 / 5)
sin D × cos D = 12 / 25
The product of tan C and tan D will be
tan C × tan D = (3 / 4) × (4 / 3)
tan C × tan D = 1
The product of cos C and tan D will be
cos C × tan D = (4 / 5) × (4 / 3)
cos C × tan D = 16 / 15
Then the matching will be given below.
12/25 = sin D × cos D3/5 = sin D16/15 = cos C × tan D4/5 = sin CMore about the right-angle triangle link is given below.
https://brainly.com/question/3770177
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GIVING BRAINLY FOR WHOEVER ANSWERS THIS
Answer:
20%
Step-by-step explanation:
Probability is always expressed as a part of a whole, thereby in fractions or percentages. From the statistics gathered, it said that 80% of the time, the plane arrives right on schedule in El Centro. That means that the probability of NOT arriving on time is the other portion, which is 20%. The answer is 20%.
How many thirds are equal to 2/6? please explain using an equation.
Answer:
How many thirds are equal to 2/6?
1/3 = 1/3
2/6 = 1/3
3/9 = 1/3
4/12 = 1/3
Step-by-step explanation:
I hope that this answer helps you to understand your question more thoroughly. If you have any other questions, please put them below.
Have a great rest of your day/night!
1 thirds
divide 2/6 by 2 and you get 1/3. or multiply 1/3 by two and you get 2/6.
what is the constant rate change shown in the graph below?
Answer:
the two points be
(0,0) and (1,-3)
slope [m]=[-3-0]/[1-0]=-3
constant rate is-3.
Help plz:)))I’ll mark u Brainliest
Answer:
2,144.66 miles³
Step-by-step explanation:
v = (4/3)πr³
v = (4/3)π(8³)
v = 2,144.6605848506
Rounded
2,144.66 miles³
What is the value of the expression below?
-7(-2)
Answer:
14
Step-by-step explanation:
-7*-2=14
-Continued answer to my last question
Answer:
It's the first graph.
Step-by-step explanation:
The data points resemble the data in the table more than the second.
which model shows all of these numbers correctly placed one the number line
Answer:
2nd
Step-by-step explanation:
bec 1\8 = 0.125 so it must be close more to 0
and the 1.33 is bigger than 1.25
find the slope of the line through each pair of points (19,-2) (-11,10)
Answer:
[tex]\huge\boxed{-\frac{2}{5}}[/tex]
Step-by-step explanation:
The slope of a line can be determined from two points via the slope formula. This is usually defined as the change in y divided by the change in x. It’s commonly represented using this formula:
[tex]\displaystyle \frac{\Delta y}{\Delta x}[/tex]Where [tex]\Delta[/tex] represents “change in.”
The slope is basically just saying the rate of increase/decrease a function has when x increases by 1 - how much does y change when x increases by 1? We can find this by taking larger values and dividing by the rate at which we took the larger values. This derives the slope formula.
We can find the change in y and x in this function by analyzing the two points given. If we look at the change between each point, we can get the change since this is a line and thus has a constant slope.
The change in y will be 12. This is because from -2 to 10 is 10 units - [tex]10 - (-2) = 12[/tex] The change in x will be -30. This is because from 19 to -11 is -30 units - [tex]-19 -11 = -30[/tex]Now that we have our change in x and y, we can substitute these values into the slope formula.
[tex]\displaystyle \frac{\Delta y}{\Delta x}[/tex] [tex]\displaystyle \frac{12}{-30}[/tex] [tex]\displaystyle -\frac{12}{30}[/tex] Simplify - divide numerator and denominator by 6 [tex]\displaystyle -\frac{2}{5}[/tex]Therefore, the slope of this line is [tex]-\frac{2}{5}[/tex].
Hope this helped!
given the system of equations, what is the value of the system to determinant.
x + y = 8
x + y = 10
-----------------
-2
-1
0
Answer:
0
Step-by-step explanation:
given the system of equations, what is the value of the system to determinant.
x + y = 8
x + y = 10
This can be written in the form AX = b
A is a 2 by 2 matrices
b is a column matrix
Taking the determinant of A
[tex]A =\left[\begin{array}{ccc}1&1\\1&1\\\end{array}\right][/tex]
We are to finds the determinant
|A| = 1(1) - 1(1)
|A| = 1 -1
|A| = 0
hence the required determinant is 0
An experiment involves selecting a random sample of 256 middle managers for study. One item of interest is their annual incomes. The sample mean is computed to be $35,420.00. If the population standard deviation is $2,450.00, what is the standard error of the mean
Answer:
the standard error is 153.125
Step-by-step explanation:
given that
The random sample is 256
The sample mean is $35,420
And, the standard deviation is $2,450
We need to find out the standard error
We know that
= standard deviation ÷ √random sample
= 2450 ÷ √256
= 2450 ÷ 16
= 153.125
Hence, the standard error is 153.125
Researchers conduct a study to evaluate the level of pollution present in a river. They selected several locations along the river and then take a sample of water from each location.
What is the population under study?
A. The water in the river
B. River water in the county where researchers are working
C. Water in a lake fed by the river
D. The water collected by researchers
Answer:
a
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
How many sides do 2 octagons, 4 pentagons, and 5 triangles have in all?
Answer: 51
Step-by-step explanation:
2 octagons have 16 sides because an octagon has eight sides. So, 8x2=16.
4 pentagons have 20 sides because a pentagon has 5 sides. So, 4x5=20.
5 triangles have 15 sides because a triangle has 3 sides. So, 5x3=15.
In all, 16+20+15= 51
the product of nine, y and x not simplified.
Answer:
9yx
Step-by-step explanation:
product means multiply.
nine, y and x
9yx