Answers
Answer: The expected value is 12.44
Step-by-step explanation:
The expected value can be calculated as:
EV = ∑xₙ*pₙ
Where xₙ is the n-th outcome. For the case of the spinner we have 3 possible outcomes:
x₁ = 8
x₂ = 6
x₃ = 24
And pₙ is the probability of the n-th event.
For the case of the spinner, the probability of each section will be equal to the quotient between the degrees of each arc, and the total number of degrees in a circle (360°).
First, we can see that for outcome = 8, the angle is a right angle, then it is equal to 90°, then the probability of this event will be:
p₁ = 90°/360° = 0.25
For outcome = 24, we have an angle of 120°, then the probability for this event is:
p₃ = (120°/360°) = 0.33
And the angle for the third arc must be such that:
90° + 120° + A = 360°
then:
A = 360° - 90° - 120° = 150°
Then the probability for the outcome = 6 is:
p₂ = (150°/360°) = 0.42
Now we can find the expected value as:
EV = (8*0.25 + 6*0.42 + 24*0.33) = 12.44
Related Questions
Change each of the following decimals to a fraction. Reduce your answer to its lowest terms.
0.07
0.3
0.168
0.0012
0.14
Answers
3/10
21/125
3/ 2500
7/50
I simplified them for you
What is the lim as x approaches pi [integral 1+tan t from pi to x]/(pi sin x)
Answers
Apply l'Hopital's rule:
[tex]\displaystyle\lim_{x\to\pi}\frac{\displaystyle\int_\pi^x (1+\tan(t))\,\mathrm dt}{\pi\sin(x)}=\lim_{x\to\pi}\frac{1+\tan(x)}{\pi\cos(x)}=\frac{1+\tan(\pi)}{\pi\cos(\pi)}=\boxed{-\frac1\pi}[/tex]
where
[tex]\displaystyle\frac{\mathrm d}{\mathrm dx}\left[\int_\pi^x(1+\tan(t))\,\mathrm dt\right]=1+\tan(x)[/tex]
follows from the fundamental theorem of calculus.
helppppppppppppppppppppppppppppppppjhfyigcusfdcusVCOUVc
Answers
Answer:
use the app called msthway
1. 3х – 4 y = 24 : (0, ) ( ,0)
Answers
2x^3-3x-5=O wat the answer
Answers
Who ever helps get branliest.
Answers
Answer:
c ?
Step-by-step explanation:
Answer:
[tex]\mathrm{A.} \: \frac{5}{14}\cdot \frac{4}{13}\\[/tex]
Step-by-step explanation:
There are 14 marbles in total, of which 5 of them are red. Therefore, the probability that the first marble she chooses is red is [tex]\frac{5}{14}[/tex].
Since she does not replace the marble, there are now 13 marbles in total, of which 4 are red (she drew one of the red marbles on her first draw). Therefore the probability of her drawing a red marble on her second draw is [tex]\frac{4}{13}[/tex], assuming she draws a red marble on the first draw.
Thus, the probability she draws a red marble on both draws is [tex]\fbox{$\mathrm{A.} \: \frac{5}{14}\cdot \frac{4}{13}$}[/tex].
AXYZ is graphed on the coordinate plane using the following vertices:
X(2,7) Y(8,7) Z(5,2). Which of the following is the closest to the perimeter
of this triangle? *
18
17
16
15
Answers
Answer: The exact answer is 17.662 so I would assume the answer is 18 because it rounds up
Step-by-step explanation:
1. A plumber cut a pipe into 6 identical pieces. Each piece measures 17.4 feet long.
a) How long was the original pipe?
b) What is the cost of the original pipe if the store charges 2.18 dollars per foot?
PLEASE HURRYYYYY
Answers
Answer:
104.4 for A.
Step-by-step explanation:
Pls
help lol thanks :)
Answers
que
Step-by-step explanation:
usye sane epañol...
I will give brainiest to whoever answers correctly !!
Answers
Answer:
the material when you get a chance can you send me the material
Help plz:)))I’ll mark u Brainliest
Answers
Answer:
A.
Step-by-step explanation:
cause its congruent just flip and get
ZYX
brainliest appreciated
Simplify the expression by combining like terms 2w+4w+8w? whats the answer
Answers
Explanation: In this expression, +2w, +4w, and +8w are called terms and the numbers in front of the variables, +2, +4, and +8 are called coefficients.
Because the variables are identical,
the three terms in this problem are called like terms.
They can be added together by adding their coefficients.
Since 2 + 4 + 8 is 14, 2w + 4w + 8w is 14w.
need help asap please!!
Answers
Answer:
[tex]\displaystyle 23[/tex]
Step-by-step explanation:
[tex]\displaystyle 4p = p + 69 → -69 = -3p; 23 = p[/tex]
I am joyous to assist you at any time.
Apply the distributive property to create an equivalent expression,
1/3(3j+ 6)
Answers
Answer:
j + 2
Step-by-step explanation:
1/3(3j) + 1/3(6)
1/3(3j) = j
1/3(6) = 2
Answer: j + 2
Please help me if u know
Answers
Answers
x= -3/2
x= 3i
x= -3i
Step-by-step explanation:
f (x) = 2x3 + 3x2 + 18x + 27
Set 2x^3 + 3x^2 + 18x + 27 equal to 0.
2x^3 + 3x^2 + 18x + 27 = 0
Solve for x.
Factor the left side of the equation.
Factor out the greatest common factor from each group.
x^2 (2x + 3) + 9 (2x + 3) = 0
Factor the polynomial by factoring out the greatest common factor, 2x + 3. (2x + 3) (x^2 + 9) = 0
If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.
2x + 3 = 0
x^2 + 9 = 0
Set 2x + 3 equal to 0 and solve for x.
Set 2x + 3 equal to 0. 2x + 3 = 0
Solve 2x + 3 = 0 for x. Tap for more steps...
3 x = − 2
Set x2 + 9 equal to 0 and solve for x.
Set x2 + 9 equal to 0. x2 + 9 = 0
Solve x2 + 9 = 0 for x.
x = 3i, −3i
The final solution is all the values that make (2x + 3) (x2 + 9) = 0 true.
x = − 3/2 , 3i, −3i
I need help! Thanks!
Answers
Find the missing angle m
Answers
Answer:
m∠BAC=135°
Step-by-step explanation:
360- 84=276
276-141=135
Hope this helps!
Please mark me brainliest if you can. :)
When you plugged in your phone you had 36% left on your battery. It took 25 minutes to rwach 100% charge. What is the constant rate of change of % charge per minute?
Answers
Answer:
0.390%
Step-by-step explanation:
100-36=64
25÷64=0.390625
Answer:
2.6
explanation:
100-36=64
64/25= 2.6
what is the name for the marked?
Answers
Answer:
C not sure though
Step-by-step explanation:
Explanation: it’s a connected line and it can’t be DAC since there isn’t a option for that
Hope this helped! :)
35 points! Will mark Brainliest! Real answers only!
Answers
Answer:
Ty for the free poiunts!
Step-by-step explanation:
You got the answer right LLO
Answer:
Yea the answer is right
Step-by-step explanation:
Please help! Evaluate xyz if x= 2.
y=-5, and z=-9
Answers
Answer:
90
Step-by-step explanation:
Just multiply what the variables equal to
Step-by-step explanation:
[tex] \underline{ \underline{ \text{Given}} }: [/tex]
x = 2 , y = -5 & z = -9[tex] \underline{ \underline{ \text{To \: find}}} : [/tex]
Value of xyz[tex] \underline{ \underline{ \text{Solution}}} : [/tex]
Plug the values of x , y & z in the given expression and then multiply !
⇾ [tex] \tt{2 \times ( - 5) \times ( - 9)}[/tex]
⇾ [tex] \tt{( - 10) \times ( - 9)}[/tex]
⇾ [tex] \tt{90}[/tex]
[tex] \red{ \boxed{ \boxed{ \text{Our \: final \: answer : \boxed{ \underline{ \tt{ 90}}}}}}}[/tex]
Hope I helped ! ♡
Have a wonderful day / night ! ツ
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
The number of trees in a rainforest decreases each month by 0.5%. The forest currently has 2.5 billion trees. Write an expression to represent how many trees will be left in 10 years. Then, evaluate the expression.
Answers
The number of the trees that will be left after 10 years will be 2.3 billions.
What is the percent decrease?A rate of change is negative when the output decreases as the input increases or when the output increases as the input decreases.
Given that, the number of trees in a rainforest decreases each month by 0.5%. The forest currently has 2.5 billion trees.
The expression will be:
A = P(1-r)ⁿ
A = final amount
P = initial amount
r = rate
n = time
Therefore,
A = 2500000000(1-00.5)¹⁰
A = 2500000000(0.995)¹⁰
A = 2300000000
Hence, the number of the trees that will be left after 10 years will be 2.3 billions.
Learn more about decreasing rate, click;
https://brainly.com/question/694922
#SPJ2
44. There are 30 calculators numbered 1-30 in
a case. If 4 of the calculators are broken,
what is the probability that the numbers on
the broken calculators are at least 16?
Answers
The probability that the numbers on the broken calculators are at least 16 will be 0.9997.
What is probability?Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.
There are 30 calculators numbered 1-30 in a case. If 4 of the calculators are broken.
Then the probability that the numbers on the broken calculators are at least 16 will be
Number of ways to get a sum less than 16 = 1234, 1235, 1236, 1237, 1238, 1239, 2345, 2346 = 8
Probability = 1 – 8 / (³⁰C₄) = 1 – 8/27405 = 0.99970808246
More about the probability link is given below.
https://brainly.com/question/795909
#SPJ1
help pls
A scale drawing of a rectangular basketball court measures 7 inches long and 4 inches wide. If the scale used for the drawing is 2.5 inches equals 5 yards, what is the actual length of the park?
Answers
Answer:
the length is 14 yards and the width is 8 yards
A grocery store always displays a new brand of cereal on 6 shelves. The clerk places 18 boxes of cereal on each shelf. Which equation can be used to find the total number of boxes displayed.
A. 18÷6=
B. 18-6=
C. 6+18=
D. 6x18=
Answers
Answer:I think is 18 divided by 6
Step-by-step explanation:
Because they are saying each that is your clue word that means you need to divide.
I hope it helps :)
Pierce swims 10 laps in a pool in 8 minutes. He spent the same amount of time on each lap. How much time did each lap take him?
Answers
Answer:
48 sec.
Step-by-step explanation:
8 devided by 10.
Answer:
48 seconds
Step-by-step explanation:
8 min / 10 laps = 0.8 mins
to convert minutes into seconds, multiply by 60
0.8*60 = 48 seconds
Solve this equation for a:
–5 + 4a = 27
Answers
Answer:
a=8
Step-by-step explanation:
solve for a by adding 5 on both sides
4a=32
Now divid 4 on both sides
a=8
Choose values for horizontal and vertical translation
First perform a vertical translation of -5 and then a
horizontal translation of -5. Check all that apply.
O ZA ZA
y
4
Horizontal
Translation
OZBZB
2
B
Vertical
Translation
O ZCE ZC
A
X
AB=A'B'
-2
2
4
AC = A'C'
OBCEB'C'
-2
Reset
-4
Answers
Answer:
All of the answers are correct.
Answer:
all the answers are right bc if u look at them their all the same i also took the test
Step-by-step explanation:
Question 3
<
>
A friend has a 81% average before the final exam for a course. That score includes everything but
the final, which counts for 30% of the course grade.
What is the best course grade your friend cah earn?
%
What is the minimum score would your friend would need on the final to earn a 75% for the course?
%
Give answers accurate to at least one decimal place.
Question Help: D Video Message instructor
Submit Question
Answers
Answer:
The best course grade your friend can earn is 0.867 = 86.7%.
The minimum score would your friend would need on the final to earn a 75% for the course is of 0.61 = 61%.
Step-by-step explanation:
This is a weighed average problem, in which we multiply each grade by its weight.
We have that:
In 70% of the course, the friend has a grade of 81%.
In the other 30%, he will have x.
What is the best course grade your friend can earn?
This will happen if he earns 100% = 1 on the final test. So
[tex]G = 0.7*0.81 + 0.3*1 = 0.867[/tex]
The best course grade your friend can earn is 0.867 = 86.7%.
What is the minimum score would your friend would need on the final to earn a 75% for the course?
This is x, when the grade is 0.75. So
[tex]0.75 = 0.7*0.81 + 0.3x[/tex]
[tex]0.3x = 0.75 - 0.7*0.81[/tex]
[tex]x = \frac{(0.75 - 0.7*0.81)}{0.3}[/tex]
[tex]x = 0.61[/tex]
The minimum score would your friend would need on the final to earn a 75% for the course is of 0.61 = 61%.
Did I do this right?
(give me proof)
Answers
Answer:
yes
Step-by-step explanation:
y=5+5/1
5/1= rise/run
Answer:
Yes
Step-by-step explanation:
when you go over one (x), you go up five (y), on the chart. That's the definition of a slope - rise/run.