Average temperature change can be found through the equation
Avg Temp change per hour=Total temperature change ÷ Total time
=84÷12
=7
Since the temperature was decreasing, make the 7 negative -7
Hope this helps!
Answer: $2.95
Step-by-step explanation:
Given: Probability of losing the $7 = ![\dfrac{20}{38}](https://tex.z-dn.net/?f=%5Cdfrac%7B20%7D%7B38%7D)
Probability of winning $14 = ![\dfrac{18}{38}](https://tex.z-dn.net/?f=%5Cdfrac%7B18%7D%7B38%7D)
Then, the expected value = (- $7) x ( Probability of losing the $7) + $14 x(Probability of winning $14)
= ![(-\$ 7)\times\dfrac{20}{38}+(\$14)\times\dfrac{18}{38}](https://tex.z-dn.net/?f=%28-%5C%24%207%29%5Ctimes%5Cdfrac%7B20%7D%7B38%7D%2B%28%5C%2414%29%5Ctimes%5Cdfrac%7B18%7D%7B38%7D)
= ![-\dfrac{70}{19}+\dfrac{126}{19}](https://tex.z-dn.net/?f=-%5Cdfrac%7B70%7D%7B19%7D%2B%5Cdfrac%7B126%7D%7B19%7D)
= ![\dfrac{56}{19}\times\approx\$2.95](https://tex.z-dn.net/?f=%5Cdfrac%7B56%7D%7B19%7D%5Ctimes%5Capprox%5C%242.95)
∴ If a doctor pays $7 that the outcome is an odd number, the doctor's
expected value is $2.95.
Fractions equivalent to 1/4 are 2/8, 3/12, 4/16, 5/20 and so on! All you have to do it Multiply 1/4 times the number your multiplying with! Example 6 1/4 times 6 is 6/24 which it equivalent
Answer:
A and D
Step-by-step explanation:
![{4}^{3} = 64 \\ ( {2}^{2} )^{3} = {2}^{6} \\ \\ \sqrt[5]{ {4}^{3} } = \sqrt[5]{64} \\](https://tex.z-dn.net/?f=%7B4%7D%5E%7B3%7D%20%20%3D%2064%20%20%5C%5C%20%28%20%7B2%7D%5E%7B2%7D%20%29%5E%7B3%7D%20%20%3D%20%20%7B2%7D%5E%7B6%7D%20%5C%5C%20%20%5C%5C%20%20%5Csqrt%5B5%5D%7B%20%7B4%7D%5E%7B3%7D%20%7D%20%20%3D%20%20%5Csqrt%5B5%5D%7B64%7D%20%20%5C%5C%20)