Answer:
0.037
Step-by-step explanation:
If the hitter makes an out 72% of the time, then the probabilty that he makes hit in 1 at-bat is 
and the probabilty that he doesn't make hit in 1 at-bat is 
The probability that the hitter makes 10 outs in 10 consecutive at-bats, assuming at-bats are independent events is
Answer: 0.62
Step-by-step explanation:
Total people= 47
Let A be the event of selecting person was interested in trying the new drink.
Person not interested in trying a sample of a new soft drink (nA')=18
Person interested in trying a sample of a new soft drink (nA)=47-18=29
Thus probability that a randomly selected person was interested in trying the new drink
P (A) = 29/41 = 0.6170 (or) 0.62
Thus, probability that a randomly selected person was interested in trying the new drink is 0.62.
47-18=29 people interested in the new drink
29/47=0.617
0.617*100=61.7% chance
Answer:
the second one 81^ 5/4
Step-by-step explanation:
Isolate the root expression:
![\sqrt[3]{x+1}+2=0\implies\sqrt[3]{x+1}=-2](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%2B1%7D%2B2%3D0%5Cimplies%5Csqrt%5B3%5D%7Bx%2B1%7D%3D-2)
Take the third power of both sides:
![\sqrt[3]{x+1}=-2\implies(\sqrt[3]{x+1})^3=(-2)^3](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%2B1%7D%3D-2%5Cimplies%28%5Csqrt%5B3%5D%7Bx%2B1%7D%29%5E3%3D%28-2%29%5E3)
Simplify:
![(\sqrt[3]{x+1})^3=(-2)^3\implies x+1=-8](https://tex.z-dn.net/?f=%28%5Csqrt%5B3%5D%7Bx%2B1%7D%29%5E3%3D%28-2%29%5E3%5Cimplies%20x%2B1%3D-8)
Isolate and solve for
:
Since the cube root function is bijective, we know this won't be an extraneous solution, but it doesn't hurt to verify that this is correct. When
, we have
![\sqrt[3]{-9+1}=\sqrt[3]{-8}=\sqrt[3]{(-2)^3}=-2](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B-9%2B1%7D%3D%5Csqrt%5B3%5D%7B-8%7D%3D%5Csqrt%5B3%5D%7B%28-2%29%5E3%7D%3D-2)
as required.
Your answer would be x = -15.8994.
To get this, you first add 7 to each side making the equation -4.818 = x/3.3
Then, you would need to multiply each side by 3.3 to get x by itself.
Your answer would be -15.8994.
