9514 1404 393
Answer:
A. 3x -7
Step-by-step explanation:
Substitute for f and g, then collect terms.
(f -g)(x) = f(x) -g(x) = (4x -3) -(x +4)
(f -g)(x) = 4x -3 -x -4 = (4-1)x +(-3-4)
(f -g)(x) = 3x -7
In a certain region, there is a 0.1 probability that any checked passerine bird's nest will
contain a cuckoo egg. If three passerine nests are checked, what is the probability that
at least two of them contain a cuckoo egg?
Answer:
Probability of at least two cuckoo eggs is 0.738.
Step-by-step explanation:
probability of cuckoo egg = 0.1
probability of not a cuckoo egg = 1 - 0.1 = 0.9
Probability of at least two cuckoo eggs is
= Probability of two cuckoo eggs x probability of 1 not cuckoo egg +
probability of three cuckoo eggs
= 0.1 x 0.1 x 0.9 + 0.9 x 0.9 x 0.9
= 0.009 + 0.729
= 0.738
Double Dice is a game in which two dice are rolled. A player wins the game if a certain sum is rolled. A player wins $7.00 if he rolls a sum of 5 or 6 and $20.00 if he rolls a sum of 2 or 3. He wins nothing if any other sum is rolled.
A. Define the random variable, X.
B. Write out the probability distribution function for the game.
C. What is the expected value of the game?
D. Assuming you have to pay $6.00 to play the game, explain what happens in the long run. (Is it a good idea to play the game?)
Answer:
3.417
Kindly check explanation
Step-by-step explanation:
X : $7 ; $20 ; $0
Sample space for the sum of two die rolls :
Probability of obtaining a sum of 5 or 6 ;
P(sum of 5 or 6) = 9/36 = 1/4
Probability of obtaining a sum of 2 or 3 ;
P(Sum of 2 or 3) = 3/36 = 1/12
Probability of obtaining a sum of other Tha 2,3, 5 or 6 ; = 24/ 36 = 2/3
The probability distribution :
X _____ 0 _______ 7 _____ 20
P(x) ___ 2/3 _____ 1/4 ____ 1/12
Expected value of the game ; E(X) ;
E(X) = Σx*p(x)
E(X) = (0*2/3) + (7*1/4) + (20*1/12)
E(X) = 0 + 1.75 + 1.6667
E(X) = 3.417
This means that if the game is paid for a long time, the mean or expected winning will be ; $3.417
If game has to be played with $6 ; then to determine if it is a good idea to play the game on a long run, we calculate the payoff ;
The payoff is :
Expected value - playing cost
$3.417 - $6 = - $2.583
Since payoff is negative, we can conclude that it is not a good idea to play the game in the long run : as the expected value is lesser than the playing fee.
Find the equation of the line below.
10
(4,8)
х
t(1,2)
- 10
10
- 10
O A. y = 2x
O B. y = 1x
O C. y = x
O D. ya
Answer:
y=2x
Step-by-step explanation:
The line passes through the origin, so the y-intercept = 0
the slope m can be found with
m = (y2-y1)/(x2-x1) = (8-2)/(2-1) = 2
Therefore the equation of the line is
y = 2x + 0 = 2x
Answer:
A) y = 2x
Step-by-step explanation:
We are given the points (4,8) and (1,2).
[tex]\frac{2-8}{1-4}=\frac{-6}{-3}=\frac{6}{3}=\boxed{2}[/tex]
The line passes through the origin.
Option A should be correct.
Hope this helps.
2 1/3 - (-5) =
what does it equal
Answer:
7 1/3
Step-by-step explanation:
See image below:)
Solve the system of equation y = -2+5
y = x^2 + 3x + 9
Answer:
9 is y
Step-by-step explanation:
Standard Error from a Formula and a Bootstrap Distribution Sample A has a count of 30 successes with and Sample B has a count of 50 successes with . Use StatKey or other technology to generate a bootstrap distribution of sample differences in proportions and find the standard error for that distribution. Compare the result to the value obtained using the formula for the standard error of a difference in proportions from this section.
Answer:
Using a formula, the standard error is: 0.052
Using bootstrap, the standard error is: 0.050
Comparison:
The calculated standard error using the formula is greater than the standard error using bootstrap
Step-by-step explanation:
Given
Sample A Sample B
[tex]x_A = 30[/tex] [tex]x_B = 50[/tex]
[tex]n_A = 100[/tex] [tex]n_B =250[/tex]
Solving (a): Standard error using formula
First, calculate the proportion of A
[tex]p_A = \frac{x_A}{n_A}[/tex]
[tex]p_A = \frac{30}{100}[/tex]
[tex]p_A = 0.30[/tex]
The proportion of B
[tex]p_B = \frac{x_B}{n_B}[/tex]
[tex]p_B = \frac{50}{250}[/tex]
[tex]p_B = 0.20[/tex]
The standard error is:
[tex]SE_{p_A-p_B} = \sqrt{\frac{p_A * (1 - p_A)}{n_A} + \frac{p_A * (1 - p_B)}{n_B}}[/tex]
[tex]SE_{p_A-p_B} = \sqrt{\frac{0.30 * (1 - 0.30)}{100} + \frac{0.20* (1 - 0.20)}{250}}[/tex]
[tex]SE_{p_A-p_B} = \sqrt{\frac{0.30 * 0.70}{100} + \frac{0.20* 0.80}{250}}[/tex]
[tex]SE_{p_A-p_B} = \sqrt{\frac{0.21}{100} + \frac{0.16}{250}}[/tex]
[tex]SE_{p_A-p_B} = \sqrt{0.0021+ 0.00064}[/tex]
[tex]SE_{p_A-p_B} = \sqrt{0.00274}[/tex]
[tex]SE_{p_A-p_B} = 0.052[/tex]
Solving (a): Standard error using bootstrapping.
Following the below steps.
Open StatkeyUnder Randomization Hypothesis Tests, select Test for Difference in ProportionsClick on Edit data, enter the appropriate data Click on ok to generate samplesClick on Generate 1000 samples ---- see attachment for the generated dataFrom the randomization sample, we have:
Sample A Sample B
[tex]x_A = 23[/tex] [tex]x_B = 57[/tex]
[tex]n_A = 100[/tex] [tex]n_B =250[/tex]
[tex]p_A = 0.230[/tex] [tex]p_A = 0.228[/tex]
So, we have:
[tex]SE_{p_A-p_B} = \sqrt{\frac{p_A * (1 - p_A)}{n_A} + \frac{p_A * (1 - p_B)}{n_B}}[/tex]
[tex]SE_{p_A-p_B} = \sqrt{\frac{0.23 * (1 - 0.23)}{100} + \frac{0.228* (1 - 0.228)}{250}}[/tex]
[tex]SE_{p_A-p_B} = \sqrt{\frac{0.1771}{100} + \frac{0.176016}{250}}[/tex]
[tex]SE_{p_A-p_B} = \sqrt{0.001771 + 0.000704064}[/tex]
[tex]SE_{p_A-p_B} = \sqrt{0.002475064}[/tex]
[tex]SE_{p_A-p_B} = 0.050[/tex]
7. Solve for b.
b
26°
Answer:
64°
Step-by-step explanation:
We know that a right angle is 90°
so we do 90° - 26° = 64°
Jenny made $35,000 in taxable income last year suppose the income tax rate is 10% for the first 9000+16% for the amount over 9000 how much money is jenny pay in income tax for last year
Answer:
for the first 9000 $ tax rate is 10%
so tax = 10% of 9000 = 900
rest of the amount = 35000-9000 =26000
tax rate is 16%
tax on 26000 = 16% of 26000 = 3900
total tax Debra has to pay for last year = 900 + 3900 = $4800
Step-by-step explanation:
Answer:
900+3900=$4800
#CarryOnLearning
Sum of all edges of all shape
Answer:
Infinient amount buddy. They are infinent amounts of polygons, as a polygon is a shape with more then 3 sides and closed. This means as long as a number is bigger then 3, there will be a shape for it, so infinent sides
Step-by-step explanation:
A camera rental company charged a fixed amount plus a fee based on the number of days for which the camera is rented. The graph below shows the amount paid for a different number of days to rent the camera:
Answer:
$40
Step-by-step explanation:
It's the value on the y-axis. (0 days)
Answer and I will give you brainiliest
Answer:
40 is your correct answer
Three relatives will share an inheritance of 196,800 in the ratio of 3 to 7 to 2. How many dollars of the inheritance will each of the relatives receive?
Answer:
49200
114800
32800
Step-by-step explanation:
196800/12=ans
ans * 3
ans * 7
ans * 2
What is the measure of angle x? Round to the
nearest tenth. .
28
21
xº
Which of the following expressions are equivalent to -8-(-1)-5? Pick two answers.
OPTION B and E are the correct answers.
Answer:
B & E
Step-by-step explanation:
Main Expression: - 8 - ( - 1 ) - 5 = - 7 - 5 = - 12
A: - 8 - 1 - 5 = - 9 - 5 = - 14
B: - 8 + 1 - 5 = - 7 - 5 = - 12
C: - 8 + ( - 1 ) + ( - 5 ) = - 9 + ( - 5 ) = - 14
D: ( 8 + 1 ) - 5 = 9 + 5 = 14
E: - ( 8 - 1 + 5 ) = - ( 7 + 5 ) = - ( 12 ) = - 12
Hope this helps!
WILL GIVE BRAINLIEST FOR ANSWER
Answer:
the answe is 187 cm square
The
Slope
a line that goes
through the points (r, 6 ) and (4,2
is 4 find r
What is the equation of the line in slope-intercept form?
Answer:
2) y=-3x+36
Step-by-step explanation:
Hi there!
We're given a graph and we want to find the equation of the line in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept
We'll need two points, so pick any two from the graph
For example, let's do (0,36) and (12,0)
first let's find the slope
The formula for the slope calculated from two points is (y2-y1)/(x2-x1), where (x1,y1) and (x2,y2) are points
we'll be using (0,36) and (12,0)
let's label the points to avoid any confusion
x1=0
y1=36
x2=12
y2=0
Now substitute into the formula:
m=(y2-y1)/(x2-x1)
m=(0-36)/(12-0)
m=-36/12
m=-3
so the slope is -3
here's the equation so far:
y=-3x+b
we need to find b
The equation of the line will pass through both (0,36) and (12,0) so we can use either one of them to solve for b
let's take (12,0) for example
substitute 12 as x and 0 as y
0=-3(12)+b
multiply
0=-36+b
add 36 to both sides to isolate b
36=b
now substitute 36 as b into the equation
y=-3x+36
There's the equation of the line, so the answer is option 2
Hope this helps!
You have 3 five dollar bills and 4 ten dollar bills in your pocket. If you pull out 2 bills, what is the probability they are both tens?
Answer: I think its 4%
Step-by-step explanation: 3+4=7 7/2=3.5
Answer:
1/14
Step-by-step explanation:
Which measure of central tendency best describes the data set below?
{0, 80, 85, 88, 90, 95}
A. the mean, 73
B. the mode, none
C. the range, 95
D. the median, 86.5
Answer:
The correct answer would be D, the median 86.5. In this set of data most of the values are in the 80's or 90's.
Step-by-step explanation:
d point is the answer
Answer:
D) The median, 86.5
Step-by-step explanation:
Most of the data is clustered in the 80s. Therefore, D is correct.
A summer music program admits a total of 30 students. Every year the program is filled. Some years there are only girls, and some years there are only boys. A function, f, is written that gives the number of girls, y, enrolled in the program based on the number of boys, x. If this function is graphed over the appropriate domain, which statement must be true? Select all the statements
that apply.
Answer:
c d
Step-by-step explanation:
trust me
Which expression is equivalent to
^3 sqrt 1/1000 c^9 d^12
Answer:
[tex] \sqrt[3]{ \frac{1}{1000} {c}^{9} {d}^{12} } \\ = \frac{1}{10} {c}^{3} {d}^{4} [/tex]
John shot 30 baskets in 5 minutes. At this rate how many minutes will it take him to shoot 90 baskets? What are the 2 units you are comparing?
Ans5 and 2
Step-by-step explanation:
please answer this. i’m so confused
Answer:
1
Step-by-step explanation:
All sides have to be congruent making option 1 correct
~ LadyBrain
(Will mark brainlest ) help me to find the value of x or theta (step by step)
Answer:
X = 6
Step-by-step explanation:
sin○ = opposite side/hypotenuse
sin 45 = 3 root2/x
1/root2 = 3 root2/x
x = 3 × 2
x = 6
Answer:
x=6 cm
Step-by-step explanation:
take 45 degree as reference angle
using sin rule
sin 45 =opposite/hypotenuse
[tex]\frac{1}{\sqrt{2} } =\frac{3\sqrt{2} }{x}[/tex]
do cross multiplication
[tex]x=\sqrt{2} * 3\sqrt{2}[/tex]
x=6
What is the y-intercept of the graph of y = 2.5'?
a. 2.5
b. 1
0
d. -1
ME
Please select the best answer from the choices provided
ОА
ОВ
PLEASE HELP ASAP!!! WILL MARK BRAINLIEST !!
Answer:
CA = LJ
Step-by-step explanation:
The third side
CA = LJ
Answer:
CA=LG is correct answer
The vertices of a triangle are as follows: (4,) (6,7) and (8,0) If you dilate the triangle by a scale factor of 3, what are the vertices of the new triangle
1. (12,12) (6,7) (24,3)
2. (4,12) (6,21) (8,0)
3. (12,4) (18,7) (24,0)
4. (12,12) (18,21) (24,0)
Answer:
(12, 12), (18, 21), (24, 0)
Step-by-step explanation:
To dilate a figure, you multiple each of the numbers in its coordinates by the scale factor.
The vertices of the new triangle is:
4. (12,12) (18,21) (24,0)
What are the vertices of the new triangle?We have:
The vertices of a triangle: (4, 4) (6,7) and (8,0)
We dilate the triangle by a scale factor of 3
To find the vertices of the new triangle after a dilation of 3, multiply the old vertices by 3. That is:
3 * (4, 4) => (12, 12)
3 * (6, 7) => (18, 21)
3 * (8,0) => (24, 0)
Therefore, the vertices of the new triangle is (12,12) (18,21) (24,0)
Learn more about dilation on:
brainly.com/question/28956841
#SPJ3
What is the solution for
X+2y=9 2x+4y=20
Answer:
No solution
Step-by-step explanation:
x + 2y = 9
x = - 2y + 9
2x + 4y = 20
2(-2y + 9) + 4y = 20
-4y + 18 + 4y = 20
-4y + 4y = 20 - 18
0 = 2
( No solution)
what is the largest number in the form x987yz that is divisible by 12?
Answer:
998796
Step-by-step explanation:
For a number to be divisible by 12. it must be divisible by 3 and 4
Since we need the largest 6 digit number, we will take x = 9
So the number is 9987yz
Again since we need the largest number we will consider the largest 2 digit number multiple of 4 and 3.
Largest 2 digit number divisible by 4 is 96, which is also divisible by 3.
So, yz = 96
Therefore , the largest number in the form will be : 998796
Answer:
The largest number is 998796
------------------------------------------------------
The largest digit you could use is 9 so, our number would be, 998799,
but the thing is that it's not divisible by 12.
The next largest would be 8. (998798) Not divisible.
7, so our number would be, 998797. Not divisible.
6, 998796. 998796/12= 83233, which means that it is divisble, so, the largest number in the form x987yz that is divisble by 12 is 998796
Please correct me if I'm wrong.
Identify which type of sampling is used: random, systematic, convenience, stratified, or cluster. To determine customer opinion of their safety features, Daimler−Chrysler randomly selects 100 service centers during a certain week and surveys all customers visiting the service centers.
Answer:
Cluster
Step-by-step explanation:
According to the Question,
Given this, Daimler−Chrysler randomly selects 100 service centers during a certain week and surveys all customers visiting the service centers.This is a Cluster type of Sampling.
Cluster sampling is a type of sampling method in which the population under study is divided into different groups known as clusters before simple random samples are selected from each population cluster. The analysis of such a population is carried out based on the sampled clusters. This method is adopted when a researcher does not have access to the whole population under research.Advantages of cluster sampling
The research method only needs fewer resources. The sample under review is feasible.Note: Cluster sampling is not as accurate as simple or stratified random sampling.
