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xz_007 [3.2K]
3 years ago
13

A child from a class of 30 students is chosen to pick one of five prizes. How many outcomes are there

Mathematics
1 answer:
Mamont248 [21]3 years ago
4 0

Answer: 5?

Step-by-step explanation:

there are 5 prizes to be chosen from.

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300 + 40 + 7/10 + 5/100 + 3/1000
Zielflug [23.3K]

Answer:1 5/10

Step-by-step explanation:

300 + 40 = 340 + 7/10 + 5/100 turn simplify it to 7/10 + 5/10 + 3/10 =15/10  = 1 5/0

5 0
3 years ago
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Brandy plays a hockey video game. She earns 2 stars for every goal she scores
r-ruslan [8.4K]

Answer:

-8 stars

Step-by-step explanation:

if she gets 2 stars for scoring a goal and losses 2 for missing one then if she gets 8 goals = 16 stars and misses 12 goals = - 24 stars so 16-(-24) = -8 stars

8 0
3 years ago
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Suppose that two teams play a series of games that ends when one of them has won ???? games. Also suppose that each game played
Musya8 [376]

Answer:

(a) E(X) = -2p² + 2p + 2; d²/dp² E(X) at p = 1/2 is less than 0

(b) 6p⁴ - 12p³ + 3p² + 3p + 3; d²/dp² E(X) at p = 1/2 is less than 0

Step-by-step explanation:

(a) when i = 2, the expected number of played games will be:

E(X) = 2[p² + (1-p)²] + 3[2p² (1-p) + 2p(1-p)²] = 2[p²+1-2p+p²] + 3[2p²-2p³+2p(1-2p+p²)] = 2[2p²-2p+1] + 3[2p² - 2p³+2p-4p²+2p³] =  4p²-4p+2-6p²+6p = -2p²+2p+2.

If p = 1/2, then:

d²/dp² E(X) = d/dp (-4p + 2) = -4 which is less than 0. Therefore, the E(X) is maximized.

(b) when i = 3;

E(X) = 3[p³ + (1-p)³] + 4[3p³(1-p) + 3p(1-p)³] + 5[6p³(1-p)² + 6p²(1-p)³]

Simplification and rearrangement lead to:

E(X) = 6p⁴-12p³+3p²+3p+3

if p = 1/2, then:

d²/dp² E(X) at p = 1/2 = d/dp (24p³-36p²+6p+3) = 72p²-72p+6 = 72(1/2)² - 72(1/2) +6 = 18 - 36 +8 = -10

Therefore, E(X) is maximized.

6 0
3 years ago
An airplane travels 290 km between Austin and Dallas in 1 h 15 min. What is it’s average speed?
aniked [119]

The average speed of the plane between Austin and Dallas is 232 kmph

<u>Solution:</u>

Given that,

Total distance traveled by airplane = 290 km

Time taken for travel between Austin and Dallas = 1 hour 15 minute

Let us convert the time taken to hours

\begin{array}{l}{1 \text { minute }=\frac{1}{60} \text { hours }} \\\\ {15 \text { minutes }=\frac{15}{60}=\frac{1}{4}} \\\\ {\text { 1 hour } 15 \text { minutes }=1 \frac{1}{4} \text { hours }=\frac{1 \times 4+1}{4}=\frac{5}{4} \text { hours }}\end{array}

<em><u>The average speed is given as:</u></em>

\text { Average speed }=\frac{\text { total distance }}{\text { total time taken }}

Plugging in the values, we get,

\text { Average speed }=\frac{290}{\frac{5}{4}}=\frac{290}{5} \times 4=232

Hence the average speed is 232 kmph

6 0
3 years ago
Gggggggggggggggggggggggggggggggggggggggg
user100 [1]

My best possible answer choice should be B

5 0
3 years ago
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