Depending on the size, the cone would have more volume
Given that Teresa has a 5 out of 8 chance of making a profit, and an expected value of $1.50 in profit each turn, in the long run she has a better chance of making money than losing it.
Given that Teresa is playing a game of chance in which she tosses a dart into a rotating dartboard with 8 equal-sized slices numbered 1 through 8, and the dart lands on a numbered slice at random, and this game is this: Teresa tosses the dart once, and she wins $1 if the dart lands in slice 1, $3 if the dart lands in slice 2, $5 if the dart lands in slice 3, $8 if the dart lands in slice 4, and $10 if the dart lands in slice 5, but she loses $5 if the dart lands in slices 6, 7, or 8, to find the expected value of playing the game, and determine what can Teresa expect in the long run, after playing the game many times, she must perform the following calculation:
- (1 + 3 + 5 + 8 + 10 - 5 - 5 - 5) / 8 = X
- 12 / 8 = X
- 1.5 = X
Therefore, given that Teresa has a 5 out of 8 chance of making a profit, and an expected value of $1.50 in profit each turn, in the long run she has a better chance of making money than losing it.
Learn more about maths in brainly.com/question/15605256
4πm³/8
Step-by-step explanation:
The surface area of a sphere is calculated using the formulae;
= 4*π*r3
Given the diameter m, we can find the radius by dividing it into half;
= m/2
Then we replace r with m/2 in the surface areas formulae;
= 4*π* (m/2)³
= 4πm³/8
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Learn more on solving problems with unknown values;
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Answer:
The longest length of the similar triangle is 7 inches
Step-by-step explanation:
If two triangles are similar, the ratio of their sides are equal
We shall be working the shortest and longest side of both
What we have here will be that;
The shortest length/ the longest length ratio in both triangles will be the same
Let the longest side of the similar triangle be x
8/14 = 4/x
8x = 4 * 14
x = (4 * 14)/8
x = 7 inches
Answer:
<u><em>L = length of the ladder;
</em></u>
<u><em>
K = distance between wall and the foot of the ladder;
</em></u>
<u><em>
a = angle between ladder and the ground
</em></u>
<u><em>
cos(a) = K/L,
</em></u>
<u><em>
L=K/cos(a),
</em></u>
<u><em>
L=K/cos(35°),
</em></u>
<u><em>
L=5/cos(35°),
</em></u>
<u><em>
L=6.1 m</em></u>
