Answer:
The probability he rolls a 2 or lower and the coin lands on heads is 16.66%.
Step-by-step explanation:
Since Kane rolls a dice and flips a coin at the same time, to determine what is the probability he rolls a 2 or lower and the coin lands on heads the following calculation must be performed:
Given = 6 sides = 2/6
Coin = 2 sides = 1/2
2/6 x 1/2 = X
0.333 x 0.5 = X
0.1666 = X
0.1666 x 100 = 16.66
Therefore, the probability he rolls a 2 or lower and the coin lands on heads is 16.66%.
The value of the expression Z² + Q² is 4321
<h3>How to evaluate the expression?</h3>
The radius of the chocolate spheres is given as:
r = 2
The maximum number of chocolates that can fit in a spherical capsule is calculated as:
Max = R³/r³
Where:
R represents the radius of the sphere.
For the spherical capsule whose radius is 8 inches, we have:
Z = 8³/2³
Evaluate
Z = 64
For the spherical capsule whose radius is 5 inches, we have:
Q = 5³/2³
Evaluate
Q = 15.625
Remove decimal
Q = 15
So, we have:
Z² + Q² = 64² + 15²
Evaluate the exponent
Z² + Q² = 4096 + 225
Evaluate the sum
Z² + Q² = 4321
Hence, the value of Z² + Q² is 4321
Read more about volumes at:
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Let S= the amount of money Sarah has.
Let J= the amount of money Jose has
J= S+20
J+S=90
But we also know that J can equal S+20
So,
S+20+S=90
2S+20=90
2S=70
S=35
So Sarah has $35, and Jose has $35+$20, so he has 55$