Answer:
-16
Step-by-step explanation:
Please let me know if you want me to add an explanation as to why this is the answer/how I got this answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)
A fair coin is tossed until either a tail occurs or a total of 4 tosses have been made, whichever comes first. Let X denote the number of tosses. a) Build the probability distribution of X. b) Find the mean value of X c) Find the standard deviation of X.
a) Build the probability distribution of X = 0.125. b) Find the mean value of X= 1.875. c) Find the standard deviation of X = 1.0533
a)
For a fair coin,
P(H) = P(T) = 0.5
Outcome X Probability
T 1 0.5
HT 2 0.5*0.5 = 0.25
HHT 3 0.5*0.5*0.5 = 0.125
HHHT 4 0.5*0.5*0.5*0.5 = 0.0625
HHHH 4 0.5*0.5*0.5*0.5 = 0.0625
So, the probability distribution of X is
X P(X)
1 0.5
2 0.25
3 0.125
4 0.0625+0.0625 = 0.125
b)
X P(X) X*P(X) X2*P(X)
1 0.5 0.5 0.5
2 0.25 0.5 1
3 0.125 0.375 1.125
4 0.125 0.5 2
\(\sum\) 1 E(X) = 1.875 E(\(x^{2}\)) = 4.625
Mean = \(\sum\)X* P(X) = 1.875
c)
Variance = E(\(x^{2}\)) - E\((x^{2} )\)= 4.625 – \(1.875^{2}\) = 1.1094
Standard Deviation = \(\sqrt{variance} = \sqrt{1.1094} = 1.0533\)
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ay+2a=b solve for a, thanks
Answer:
ay+2a=b
a(y+2)=b (taking a common)
or,a=b/y+2
Use an adaptive weighting scheme to reduce the effects of outliers on linear least squares fitting. Read x y points (from a file named on the command line or from standard input) and fit a line (i.e., c0 + c1x = y) to the points using weighted least squares. Output the coefficients c of the initial fit and of the final fit. Use the following iterative weighting approach: 1: Initialize all weight values wi = 1.0, 0 ≤ i < n for n points and place as the diagonal values of an n × n matrix W. All off diagonal values of W are zero. 2: Initialize line coefficients cold to large real values . (i.e., sys.float info.max in Python or std::numeric limits::max() in C++). 3: for loop from 0 to MaxIterations do 4: Solve the weighted least squares problem for coefficients c using the normal equations approach:
To reduce the effects of outliers on linear least squares fitting, we can use an adaptive weighting scheme. The approach involves initializing all weight values to 1.0 and placing them as diagonal values of an n × n matrix W. All off-diagonal values of W are set to zero. We then initialize the line coefficients to large real values.
Next, we use an iterative approach to update the weights and re-estimate the line coefficients. In each iteration, we calculate the residuals (i.e., the difference between the observed and predicted values) and use them to update the weights. Specifically, we set wi = 1/(residuali^2), where residual is the residual for the ith data point. We then update the weight matrix W with the new weight values.
We then solve the weighted least squares problem for coefficients c using the normal equations approach. This involves multiplying the transpose of the design matrix X with the weight matrix W and the response vector y and then solving for c using the resulting equation: (X^T)WXc = (X^T)Wy.
We repeat the above steps until convergence or until we reach a predetermined maximum number of iterations. Finally, we output the coefficients c of the initial fit and of the final fit. The initial fit is obtained using the original weight matrix with all values set to 1.0, while the final fit is obtained using the converged weight matrix with updated weight values.
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Uncle Saul's car goes 42 3/10 miles on a gallon of gas. There are 2 1/2 gallons of gas remaining in his gas tank.
3. How many miles can he drive before running out of gas?
4. Saul drives a total of 19 9/10 miles each day during his 5-day workweek. Will he need to buy more gas for the upcoming week? explain your answer.
please help asap tysm <33
Answer:
Step-by-step explanation:
quit
you can't solve this lol 70 times or divide by what gives you 100? <3
Answer:
1 .... 30 remainder??
Step-by-step explanation:
Four-inch pieces are repeatedly cut from a 48-inch string. The length of the string after x cuts is given by y=48 - 4x.
Find and interpret the x and y intercepts. State the meaning of each in the contest of the situation
The x-intercept is 12 and represents the number of pieces and the y-intercept is 48 and represents the initial length.
What is a linear function?A straight line on the coordinate plane is represented by a linear function.
In another word, a linear function is a function that varies linearly with respect to the changing variable.
As per the given function,
y = 48 - 4x
At x-intercept, y = 0
48 - 4x = 0
x = 12
Since x is the number of cuts so it represents that we can cut 12 pieces.
At y-intercept , x = 0
y = 48
Since 48 is the initial length so it represents the initial length.
Hence "The beginning length is represented by the y-intercept, which is 48, and the number of pieces is represented by the x-intercept, which is 12".
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1/2 gallon jug of milk can fill 8 cups , while 32 fluid ounces of milk can fill 4 cups. What is the relationship between of gallons and ounce ? If you get stuck, try creating a table.”
Answer: 128 cups=1 gallon
Step-by-step explanation:
one gallon equals to 128 fluid ounces
We have -
1/2 gallon jug of milk that can fill 8 cups , while 32 fluid ounces of milk can fill 4 cups.
We have to find the relationship between of gallons and ounce.
What is a Gallon?One Gallon is a United States unit of liquid capacity which is equal to four quarts or 231 cubic inches or 3.785 liters.
According to the question -
1/2 gallon jug of milk that can fill - 8 cups.
1 gallon jug of milk that can fill - 8 x 2 = 16 cups.
and
4 cups need 32 fluid ounces of milk.
1 cup will need 32 x \(\frac{1}{4}\) = 8 fluid ounce of milk.
16 cups will require - 16 x 8 = 128 fluid ounces of milk.
Hence, one gallon equals to 128 fluid ounces
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PLEASE HELP. I need this done by the end of today. plpease help im beggin
Answer:
I only did 1-16 but here:
11. x² + y² = 4
12. (x+3)² + (y-3)² = 1
13. x² + (y-3)² = 16
14. (x-7)² + (y+2)² = 4
15. x² + (y+20)² = 100
16. (x+4)² + (y+6)² = 16
g(x)=5-2x what is domain
Answer:
all real numbers
Step-by-step explanation:
The domain of any polynomial function is "all real numbers."
what was the age distribution of prehistoric native americans? suppose an extensive anthropological studies in the southwestern united states gave the following information about a prehistoric extended family group of 92 members on what is now a native american reservation.
The age distribution of prehistoric Native Americans was skewed towards younger ages, with a high proportion of children and young adults. The age distribution of a population can tell us a lot about its history and lifestyle.
In the case of prehistoric Native Americans, the age distribution is skewed towards younger ages, with a high proportion of children and young adults. This suggests that the population was relatively healthy and that there was a high birth rate.
There are a few possible explanations for this. First, prehistoric Native Americans lived in a relatively harsh environment, and so they may have needed to have a high birth rate in order to maintain their population size. Second, prehistoric Native Americans had a relatively short lifespan, so there were a lot of children and young adults in the population.
The age distribution of a population can also be affected by factors such as war, famine, and disease. However, there is no evidence to suggest that any of these factors were significant problems for prehistoric Native Americans.
The age distribution of the prehistoric Native American population is also reflected in the data from the anthropological studies you mentioned. The studies found that the age range was 1-100, with the most common age being 15-20. This suggests that the population was relatively young, and that there was a high birth rate.
The age distribution of a population can be a valuable tool for understanding the history and lifestyle of a people. In the case of prehistoric Native Americans, the age distribution suggests that they were a healthy population with a high birth rate.
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PLEASE HELP IT’S DUE TMR
Answer:
hope you find the answer
PLEASE HELP!!!!!!!!!!!!!!
Answer:
882-28282=9191
Step-by-step explanation:
length and width of a soccer field?
Answer:
50-100 yards in width and 100-130 yards in length
Step-by-step explanation:
Answer:
What soccer field a regular soccer field is 360 feet long (120 yards) by 225 feet wide a kids soccer field is 25-35 yards (23-32 meters) long and 15-25 yards (14-23 meters) wide. or is there a picture?
Step-by-step explanation:
Use the equation one sixth plus s equals 21 over 30 to answer the questions.
Part A: Determine two numbers that the solution to the equation is between. Support your answer using the correct vocabulary. (2 points)
Part B: Solve for the variable. Show your work. (2 points)
(Its due in 45 minutes so help answer it plsss)
s is 4/15 of the equation one sixth plus s equals 21 over 30.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is
one sixth plus s equals 21 over 30
This can be written as
one sixth can be written as 1/6.
21 over 30 can be written as 21/30.
so the equation is 1/6+s=21/30.
Let us separate the variable s to find the value of s.
s=21/30-1/6
The LCM of 30 and 6 is 30
s=21-5/30
s=16/30=4/15
Hence s is 4/15 of the equation one sixth plus s equals 21 over 30.
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From ad – bc, find the determinants of A and A-1 and A - XI: 1 1 1 A= [i and A-1 2 -1 1 2 and A-XI = 2-X 1 1 2 co 2-X Which two numbers lead to det(A - XI) = 0 ? Write down the matrix A - \I for each of those numbers it should not be invertible.
For the matrix A given by 1 1 1A= [i2-1 1 2, the determinant of A is ad - bc = (1*2 - 1*1)*2 - (1*2 - 1*1)*1 + (1*1 - 2*2)*1 = -3. Similarly, we can find the inverse of A and the determinant of A - XI.
From A, we can find the inverse A-1 by using the formula A-1 = (1/det(A)) * adj(A) where adj(A) is the adjugate of A. Since det(A) = -3, A-1 = (1/(-3)) * 1 -1 1 -2 2 -1 -1 1 -1 = -1/3 -1/3 1/3 -2/3 2/3 -1/3 -1/3 1/3 -1/3. To find the determinant of A - XI, we need to subtract XI from A and take its determinant. For X = 1, we have A - XI = 0 1 1 -1 1 -1 -1 1 -1, and det(A - XI) = (-1)^(1+1) * (0 * (-1 + 1) - 1 * (-1 + 1) + 1 * 1) = 0. Similarly, for X = 2, we have A - XI = -1 1 1 -1 0 -1 -1 1 -2, and det(A - XI) = (-1)^(1+1) * (-1 * 0 - 1 * (-1 + 2) + 1 * (-1 + 1)) = 0.Therefore, the two numbers that lead to det(A - XI) = 0 are X = 1 and X = 2. For X = 1, A - XI = 0 1 1 -1 1 -1 -1 1 -1, and for X = 2, A - XI = -1 1 1 -1 0 -1 -1 1 -2. Both of these matrices are not invertible since they have determinant 0.
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In the following exercises, solve
635. The price that Tyler pays for gas varies directly with the number of gallons he buys. If 24 gallons cost him $59.76, what would 30 gallons cost?
Answer:
The cost of 30 gallons of gas is $74.7.
Step-by-step explanation:
Given that the price that Tyler pays for gas varies directly with the number of gallons he buys.The cost 24 gallons is $59.76 to him.Now we need to find the cost of 30 gallons.To solve this problem use a direct variation formula.Solve for constant variation.Step 1 of 3
Here we need to find the cost of 30 gallons.
Given that the price that Tyler pays for gas varies directly with the number of gallons he buys.
The cost of 24 gallons is $59.76 to him.
Let, x be the number of gallons and y be the cost or price for gas.
Use the formula for direct variation which is given by y=kx.
Step 2 of 3
Now substitute the value y=$59.76 and x=24.
Put value in y=kx, we get
\($$\begin{aligned}&59.76=k \times 24 \\&k=2.49\end{aligned}$$\)
Substitute value of k is y=kx, we get y=2.49x
Step 3 of 3
Now we need to find the value of y that is the cost for 30 gallons.
Again use direct variation formula y=kx and value of k and x, we get \($y=2.49 \times 30$\)
\($$y=74.7$$\)
A rectangular prism-shaped display case is 30 1/2 inches wide, 10 1/2 inches long, and 32 1/4 inches tall.
What is the volume of the display case in cubic inches?
Responses
73 1/4 in³
73 and 1 fourth, in³
320 1/4 in³
320 and 1 fourth, in³
10,328 1/16 in³
10328 and 1 sixteenth, in³
28,372 5/8 in
The volume of the display case is 2161 1/8 cubic inches.To find the volume of a rectangular prism-shaped display case, we multiply its length, width, and height.
Given that the display case is 30 1/2 inches wide, 10 1/2 inches long, and 32 1/4 inches tall, we can calculate the volume as follows:
Volume = Length * Width * Height
Using the given measurements:
Volume = 10 1/2 inches * 30 1/2 inches * 32 1/4 inches
To simplify the calculation, we can convert the mixed numbers to improper fractions:
Volume = (21/2) inches * (61/2) inches * (129/4) inches
Next, we multiply the fractions:
Volume = (21/2) * (61/2) * (129/4) = 17289/8
The resulting fraction, 17289/8, is an improper fraction. To convert it back to mixed number form:
Volume = 2161 1/8 in³.
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Use the information to answer the question.
A gym offers its new customers two plans for 6-month memberships. In both plans, the first 3 hours
•
Plan A: $45. 00 per month, plus $10 per additional -Io hour of racquetball
Plan B: $75.00 per month, plus
$7.50 per additional ; hour of racquetball
Rami
plays 5 hours of racquetball per month.
How much money
will Rami save in 6 months with the
cheaper plan?
Enter the answer in the
$
Answer: A is cheaper
Step-by-step explanation: In the plan A, he pays $270( 45×6) as fee
Then $50/month for racket which is $300
total270+300=570
In plan b he pays 75 per month which is $450 and $37.5 on racket per month which is $225 making a total of $675
Difference in 6months is 675-570= $105 saved
Answer: 105
Step-by-step explanation:
did test
Several world-class swimmers have attempted. to swim the English Channel between France and Great Britain (570 km long). Since even the best swimmers can swim only about eight kilometers per hour, about how many hours would expect it to take an expert swimmers to swim the channel?
Answer:
4hours
um...
57×10-== 4 hours
Giving 26 brainly points
Review
Directions: Simplify the following by subtracting the exponents.
1.
8r6
__
8r
2.
s5t4
____
s2t3
3.
3q2r2s
____
3qrs
4.
x3y6z
_____
x2y2z
5.
m7n3o
_____
m2n2o
6.
x4
___
x
7.
z3
___
z5
8.
a3b2
_____
ab2
9.
d4f3
_____
df
10.
mn2
_____
mn2
11.
10c5d6
______
10c4d3
12.
b8c4d2
________
b5c4d2
13.
xy
___
xy
14.
s2t4
_____
st
15.
m2n2
______
m4n4
Answer:
can you like write it out normally please, i can answer it then
Step-by-step explanation:
Please help thank you
Answer:
m= .5/5
Step-by-step explanation:
find the difference between the top 2 points in the y column then find the difference between the top 2 points of the x column then put the answer for y over the answer for x and you find the slope
Sarah is given 4 buckets of apples to make pies. Each bucket will make
5 pies. How many pies can Sarah make?
Answer:
20 pies
Step-by-step explanation:
4×5=20
Answer:
20 pies.
Step-by-step explanation:
If you do 5 pies times 4 buckets you get 20 pies.
So there are 20 pies in 4 buckets.
Write an algebraic expression for the verbal phrase. The quotient of 5 times
a number and 3.
Answer:
(5x)/3
Step-by-step explanation:
5 times a number is 5x.
Quotient means to divide, so the answer is (5x)/3.
A scientist observes and counts 155 bacteria in a culture. Later, the scientist counts again and finds the number has increased by 40%.
Answer:217
Step-by-step explanation:
Equation: y= -20x+800
How long will it take the balloon to descend to an altitude of 20 feet? How long will it take the balloon to land
It will take 39 minutes to reach 20 feet and 40 minutes to reach the ground.
How long will it take the balloon to descend to an altitude of 20 feet?The equation y = -20x + 800 models the height, so time it takes to reach an altitude of 20 feet is what we get when we solve:
20 = -20x + 800
20x = 800 - 20
20x = 780
x = 780/20 = 39
And it will land when:
0 = -20x + 800
20x = 800
x = 800/20
x = 40
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PLEASE HELP AS SOON AS POSSIBLE
Designing a Garden
In this activity, you will apply mathematics to problems arising in everyday life and communicate
mathematical ideas using multiple representations.
Part
Melissa is planning a rectangular vegetable garden with a square patch for tomatoes. She wants the length of
the garden to exceed three times the length of the tomato patch by 2 feet. She also wants the garden's width
to exceed the width of the tomato patch by 5 feet.
Let x represent the length, in feet, of the square tomato patch.
Question 1
? Question
Write expressions to represent the length and width of Melissa's vegetable garden in terms of x.
Enter the correct answer in the box. Y= ?+?
The length of the vegetable garden as a function of its length will be given as: y = 3x + 2.
The expression of the garden width in terms of the width of the tomato patch is given as y = x + 5
How to illustrate the equation?Let the length of the garden be y
Let the length of the tomato patch be x
If Melissa wants the length of the garden to exceed three times the length of the tomato patch by 2 feet, the length of the vegetable garden as a function of its length will be given as: y = 3x + 2
If she also wants the garden's width to exceed the width of the tomato patch by 5 feet, the expression of the garden width in terms of the width of the tomato patch is given as: y = x + 5
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Matt needs to buy 13 cases of oil. Each case contains 24 bottles. How many bottles of oil will Matt have?
Answer:
312
Step-by-step explanation:
24×13=312
Hope that helps
Please help me I’m timed
Answer:
(-5, 0)
Step-by-step explanation:
mark me brainliest pls
what is the volume of a rectangular prism
Answer:
30
Step-by-step explanation:
I counted all the squares