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shepuryov [24]
3 years ago
9

At a carnival, you spin a spinner that has four equal-sized sections, each a different color: green, yellow, red, and blue. If y

ou land on green, you win 2 points. If you land on yellow, red, or blue, you lose 1 point. Write the expected value equation.
What is
a=
b=
c=
d=
e=
f=
g=

Mathematics
2 answers:
Fittoniya [83]3 years ago
7 0

Answer:

Step-by-step explanation:

a=4

b=4

c=-1

d=4

e=-1

f=4

g=-1

dangina [55]3 years ago
6 0

Answer:

second one is

The expected value of the number of points won on a spin is .  -0.25 points.

third one is.

Suppose you spin the carnival spinner 1,000 times. How many points would you expect to win or lose? is lose 250 points

Step-by-step explanation:

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Consider the sequence {an}={3n+13n−3n3n+1}. Graph this sequence and use your graph to help you answer the following questions.
Fantom [35]

Part 1: You can simplify a_n to

\dfrac{3n+1}{3n}-\dfrac{3n}{3n+1} = \dfrac1{3n}+\dfrac1{3n+1}

Presumably, the sequence starts at <em>n</em> = 1. It's easy to see that the sequence is strictly decreasing, since larger values of <em>n</em> make either fraction smaller.

(a) So, the sequence is bounded above by its first value,

|a_n| \le a_1 = \dfrac13+\dfrac14 = \boxed{\dfrac7{12}}

(b) And because both fractions in a_n converge to 0, while remaining positive for any natural number <em>n</em>, the sequence is bounded below by 0,

|a_n| \ge \boxed{0}

(c) Finally, a_n is bounded above and below, so it is a bounded sequence.

Part 2: Yes, a_n is monotonic and strictly decreasing.

Part 3:

(a) I assume the choices are between convergent and divergent. Any monotonic and bounded sequence is convergent.

(b) Since a_n is decreasing and bounded below by 0, its limit as <em>n</em> goes to infinity is 0.

Part 4:

(a) We have

\displaystyle \lim_{n\to\infty} \frac{10n^2+1}{n^2+n} = \lim_{n\to\infty}10+\frac1{n^2}}{1+\frac1n} = 10

and the (-1)ⁿ makes this limit alternate between -10 and 10. So the sequence is bounded but clearly not monotonic, and hence divergent.

(b) Taking the limit gives

\displaystyle\lim_{n\to\infty}\frac{10n^3+1}{n^2+n} = \lim_{n\to\infty}\frac{10+\frac1{n^3}}{\frac1n+\frac1{n^2}} = \infty

so the sequence is unbounded and divergent. It should also be easy to see or establish that the sequence is strictly increasing and thus monotonic.

For the next three, I'm guessing the options here are something to the effect of "does", "may", or "does not".

(c) may : the sequence in (a) demonstrates that a bounded sequence need not converge

(d) does not : a monotonic sequence has to be bounded in order to converge, otherwise it grows to ± infinity.

(e) does : this is true and is known as the monotone convergence theorem.

5 0
3 years ago
NEED ANSWER ASAP<br> MARKING BRAINLIEST
kumpel [21]

Answer:

b < = 65 <u><</u>

Step-by-step explanation:

5 0
3 years ago
Pleaseee help. Oh yeah this has to be 20 characters soooo
valina [46]

It is more than one I think because it becomes -1 over -12 WITHOUT the -power and then add the power and it becomes positive. Make the power positive and it will become negative making it less than 1.

6 0
3 years ago
Read 2 more answers
Lindsay buys 15 3/4 gallons of gasoline for $3.50 per gallon how much the whole tank cost
nydimaria [60]

Answer:

The whole tank cost $55.13

Step-by-step explanation:

All you have to do is multiply the fraction and cost, to ge thte total cost

15 3/4 also equals 15.75  (it will be easier to multiply two fractions)

now each gall of the 15.75 costs 3.50 so we multiply the number of gallons by the cost

15.75 x 3.50 = 55.125

but now we must round since there isnt .125 cents

so

55.13 is the cost

4 0
2 years ago
Read 2 more answers
Julie earned 66 on the test. Describe how the scores of Julie’s classmates compared to Julie’s score.
Ne4ueva [31]
We would need the data of their classmates scores to complete this answer
4 0
3 years ago
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