Answer:
1
Step-by-step explanation:
The expected value for the given case is $-4.75.
What is probability?Probability is the branch of Mathematics that deals with the measurement of the chance of occurrence of a random event.
The probability of any event always lies in the close interval of 0 and 1 [0,1].
Given that,
The probability of winning $76 is 1/20.
And, the probability of losing $9 is 19/20.
The expected value for the given probability can be given by taking the product of the probability and the wining or losing amount and then substracting them as,
Expected value = 1/20 × 76 - 19/20 × 9
= 3.8 - 8.55
= -4.75
Hence, the expected value of amount for losing and winning the game is $-4.75.
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A rod with the density sigma(x) = 3 + sin(x) lies on the x-axis between x=0 and x = 3pi/4 find the center of mass of the rod
Answer:
10.7 grams
Step-by-step explanation:
hey there, again!
this is a similar process the mass is denisty*area HOWEVER keep in mind it's flat so the area is just x deltax while denisity is 3 + sin(x)
mass of rod = integral 0 to 3pi/4 of (3 + sin(x))*x deltax
= integral 0 to 3pi/4 of 3x + xsin(x) deltax
= 0 to 3pi/4 [3/2*x^2 + x(-cos(x)) + sin(x)]
= 10.7 grams
Is this nonlinear?
S
Answer: it seems to be Liner
Step-by-step explanation:
Has a Constant rate
What is the interquartile range of the following data set?
37, 27, 48, 96, 61, 84, 29, 1, 72, 5, 34
A. 64
B. 37
C. 10
D. 45
Answer:
The answer is D, 45.
Step-by-step explanation:
How to find the Interquartile Range
Order the data from least to greatest.Find the median.Calculate the median of both the lower and upper half of the data.The interquartile range is the difference between the upper and lower medians.After doing that, write out your list, and and subtract the medians to get 45.
Answer:
D
Step-by-step explanation:
If you answer this thanksssssss
Answer:
A. 6.95+8t=24.95;t=2.25
Step-by-step explanation:
24.95 minus 6.95 of the canvas equals 18 dollars left for the 8 tubes of paint, but then you have to figure out how much money for each which would equal 18 divided by 8, and that equals 2.25 dollars.
Currently bank customers wait approximately 7.5 minutes during peak hours to be served by a teller. Suppose the bank manager hires another teller and wants to show that the wait time has now decreased. She takes a random sample of 50 customers during peak time and finds that the average wait time is 9.3 minutes. Which of the following statements is the correct alternative hypothesis?a) H1: µ < 7.5b) H1: µ ≠ 7.5c) H1: µ > 7.5d) H1: µ > 9.3e) H1: µ < 9.3
Answer:
a) H1: µ < 7.5
Step-by-step explanation:
From the given information:
mean = 7.5
sample size = 50
sample mean = 9.3
The main task we are to carry out is to identify the correct alternative hypothesis:
Now to do that, let's state the null and the alternative hypothesis from the given study.
The null hypothesis can be computed as:
[tex]\mathbf{H_o: \mu \geq 7.5}[/tex]
The alternative hypothesis can be computed as:
[tex]\mathbf{H_1: \mu < 7.5}[/tex]
Thus, this test hypothesis is a one-tailed test (left tailed).
The length of a rectangle is
5 inches more than 4 times the width. The perimeter is 60 inches. Find the length and the width.
Answer:
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The scatterplot shows the relationship between the number of slices of pizza eaten by each member of a football team (x) and the number of laps around the block the player could run immediately afterward (y). The equation of the regression line shown on the graph is y = 10 – 0.67x:
Use the equation above to predict the number of laps a player who ate 7 slices can run.
Answer:
5.31
Step-by-step explanation:
Given the regression line equation, [tex] y = 10 - 0.67x [/tex], where,
x = number of slices of pizza eaten
y = number of laps run immediately
Number of laps run by a player who ate 7 slices of pizza can be predicted by plugging in x = 7 into the regression line equation to find y:
[tex] y = 10 - 0.67x [/tex]
[tex] y = 10 - 0.67(7) [/tex]
[tex] y = 10 - 4.69 [/tex]
[tex] y = 5.31 [/tex]
Help help help help help!!!!!
Answer:
6) 130
7) x = 35
8) y = 100
9) 50
10) 130
11) DEF = 29
12) FEG = 61
13) DEF = 91
14) FEG = 89
Step-by-step explanation:
6)angle AEB is 50°
supplementary is when 2 angles add together to make 180°
50 + x = 180
x = 180 - 50
x = 130
7)
angles AEB and DEC are vertical angles
vertical angles are equal.
50 = x + 15
50 - 15 = x
35 = x
8)
AEB and AED are supplementary angles
supplementary angles add together to make 180
50 + (y + 30) = 180
y + 30 = 180 - 50
y + 30 = 130
y = 130 - 30
y = 100
9)
DEC is vertical to AEB
vertical angles are equal.
AEB = 50
DEC = 50
10)AED = y + 30
as established earlier, y = 100
substitute Y for 100
AED = 100 + 30
AED = 130
11 & 12)DEF and FEG are complimentary.
complimentary means they add together to make 90
(3x - 4 ) + (5x + 6 ) = 90
3x - 4 + 5x + 6 = 90
8x + 2 = 90
8x = 90 - 2
8x = 88
x = 88/8
x = 11
substitute x into the equations
DEF = 3x - 4
DEF = 33 - 4
DEF = 29
FEG = 5x + 6
FEG = 55 + 6
FEG = 61
13 & 14)
DEF and FEG are supplementary.
supplementary means they add together to make 180
(9x + 1) + (8x + 9) = 180
9x + 8x + 1 + 9 = 180
17x + 10 = 180
17x = 170
x = 10
substitute x into the equations
DEF = 9x + 1
DEF = 90 + 1
DEF = 91
FEG = 8x + 9
FEG = 80 + 9
FEG = 89
If I got something wrong please let me know!
Find the slope of the line that passes through (7,5) and (1,2)
the riding lawn mower that alejandro has on his farm has the top speed of 8 km/h. What is a lawn mowers top speed in meters per hour?
Answer:
Step-by-step explanation:
800
Answer:
oh we late
Step-by-step explanation:
Jesse and Peyton were on scooters jesse traveled 15 in 6 seconds peyton travels 22 meters in 10 seconds who was moving faster? explain your reasoning
9514 1404 393
Answer:
Jesse
Step-by-step explanation:
Jesse's distance in 60 seconds would be ...
(60 s)(15 m)/(6 s) = 150 m
Peyton's distance in 60 seconds would be ...
(60 s)(22 m)/(10 s) = 132 m
Jesse travels farther in the same amount of time, so Jesse is moving faster.
__
You might find it simpler just to compute the rate of each.
Jesse: (15 m)/(6 s) = 2.5 m/s
Peyton: (22 m)/(10 s) = 2.2 m/s
Jesse's speed is higher.
1. The sum of the angle measures in a triangle is 180°. Two angles of a triangle measure 20° and 50°. What is the measure of the third angle?
Find the set of the solutions for each of the following Absolute Value Inequalities. Check your answers.
**EXPLANATION NEEDED! THANK YOU!**
Answer:
There are NO solutions
Step-by-step explanation:
On the left hand side, we have an absolute value;
which means that the left hand side will always be greater than or equal to 0
On the right hand side, we have a negative value;
Since the LHS can NEVER be negative, it will never be less than a negative number
Hence, No value of y can make this equation true
HELP NEEDED MATHS PLEASE!!!
Answer:
f(3)= 3+1
=4
gf(3) is attached.
Functions and their Properties
Practice
Need help
Answer:
[tex]g(n-7)=\frac{n^{2}-14n+43}{7n-49}[/tex] → (a)
Step-by-step explanation:
We need to evaluate g(n - 7), where
[tex]g(x)=\frac{x^{2}-7}{7x}[/tex]Replace x by (n - 7) to evaluate it
∵ x = (n - 7)
∴ [tex]g(n-7)=\frac{(n-7)^{2}-6}{7(n-7)}[/tex]
→ Let us find (n - 7)²
∵ (n - 7)² = (n - 7)(n - 7) = (n)(n) + (n)(-7) + (-7)(n) + (-7)(-7)
∴ (n - 7)² = n² + (-7n) + (-7n) + 49 = n² + -14n + 49
∴ (n - 7)² = n² - 14n + 49
→ Find 7(n - 7)
∵ 7(n - 7) = 7(n) - 7(7)
∴ 7(n - 7) = 7n - 49
→ Now let us write then in the form above
∵ [tex]g(n-7)=\frac{n^{2}-14n+49-6}{7n-49}[/tex]
→ Add the like terms in the numerator
∴ [tex]g(n-7)=\frac{n^{2}-14n+43}{7n-49}[/tex]
The correct answer is (a)
help help helplgehiog
Answer:
23
Step-by-step explanation:
117 - 94 should be the correct answer
The office manager for Better Health Medical Practice asks one of the medical assistants to help with digital thermometer inventory in the six examination
rooms. Starting with room 1, the inventory shows: 2, 4, 2,5.3, 1. What is the total inventory of thermometers?
Answer:
is this a trick question cause how can you have 5.3 thermometers?
The total inventory of the inventory shows 2, 4, 2,5,3, and 1 will be 17.
What is summation?A summation, also abbreviated as a sum, is the outcome of adding two or more numbers or quantities. Here are always an integer number of terms in a summation. There could be only two terms, but there could be one hundred, thousand, or a million. There are summations with an infinite set of parameters.
In another word, the summation is to add or subtract any two or more terms by doing that operation we will get a new result which could be big or small depending upon the number.
Given the inventory 2, 4, 2,5,3,1 if we add this inventory to the total then it will come out to be
2+ 4+ 2+5+3+1 =17 hence 17 will be the correct answer.
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It cost $20 to park at the concert hall plus concert tickets are $60 each. How much will 6 tickets cost with parking one vehicle the. What would be the independent and dependent variables please
Which diagram represents a fraction equivalent to 75%?
Need help with this right now, please.
Answer:
see below
Step-by-step explanation:
the circumference of a circle is
[tex]2\pi r[/tex]
in our problem
r=11
[tex]C=2\pi (11)\\\\=22\pi[/tex]
rounded to the nearest tenth
[tex]C\approx69.1[/tex]
the area of a circle is
[tex]\pi r^2[/tex]
so the area is
[tex]A=\pi(11)^2\\\\=121\pi[/tex]
rounded to nearest tenth
[tex]A\approx 380.1[/tex]
Maddie loves bananas! So, Maddie bought 15 boxes of bananas. In each box of bananas, there are 32 bananas. How many total bananas did Maddie buy?
Answer:
480
Step-by-step explanation:
In each box there is 32. Well, we know there is 15 boxes, so we multiply 32 and 15 to get 480.
She bought 480 total bananas :D
Answer:
She would've eaten 480 bananas
Step-by-step explanation:
Show that (3m+4n)2 –48mn= (3m-4n)2
Answer:
Please see the attached picture.
Choose the symbol that will create a true sentence when m = 20. 100 – 2m ___ 3m
Answer: it’s =
i just got the test results
Divide: r^2/r^12 A. r^10 B. 1/r^6 C. 1/r^8 D. r^8 E. r^6
Answer:
A. r^10
Step-by-step explanation:
r^2/r^12
1/r^-10
r^10
Please help, I’m very confused !
the student council is selling a dozen donuts for $15. what is the unit cost?
Answer:
$1.25
Step-by-step explanation:
15 divided by a dozen (12) is 1.25
Have a great day!
Answer:
$1.25.
Step-by-step explanation:
15/12 = $1.25
Can you help me please
Answer:
7.6
Step-by-step explanation:
(4−(−3))2+(−2−1)2
=7^2+(−2−1)2
=49+(−2−1)2
=49+(−3)^2
=49+9
=58
=7.6
2/4 = y/10 what is y?
Answer:
5
Step-by-step explanation:
2/4=y/10
=> 2x10=yx4
=> 20=yx4
=>y=5
PLEASE HELP, QUESTIONS 4 AND 5 ARE RELATES TO 2 AND 3
Answer:
4. 180
5. PQ
Step-by-step explanation:
which is greater? 0.4 or 0.127
Answer:0.4
Step-by-step explanation:
4 is bigger than one so it would be like 400>127
Answer:
0.4 would be the greater number