Answer:
A
Step-by-step explanation:
Those two lines are the same. If you divide the second equation by 2, you will end up with the first equation. A system of linear equations cannot have two of the same line.
Answer:
11
Step-by-step explanation:
Probability of Max making a shot is 45/60=¾
Here, probability, p=¾ or 0.75
The trials n=15
E=np where E is expectation
Now, when the shots out of 15 trials will be given by np=15*¾=11.25 shots
Rounded off to the nearest interger, this is approximately 11 shots.
Therefore, the possible number of shots in 15 trials for Max is equivalent to 11
Answer:
(c) (12th root of 8)^x
Step-by-step explanation:
The applicable rules of exponents are ...
![(a^b)^c=a^{bc}\\\\\sqrt[n]{a}=a^{1 \! /n}](https://tex.z-dn.net/?f=%28a%5Eb%29%5Ec%3Da%5E%7Bbc%7D%5C%5C%5C%5C%5Csqrt%5Bn%5D%7Ba%7D%3Da%5E%7B1%20%5C%21%20%2Fn%7D)
In this case, we have ...
![(\sqrt[3]{8})^{x/4}=8^{1/3\cdot x/4}=8^{x/12}=\boxed{\left(\!\sqrt[12]{8}\right)^x}](https://tex.z-dn.net/?f=%28%5Csqrt%5B3%5D%7B8%7D%29%5E%7Bx%2F4%7D%3D8%5E%7B1%2F3%5Ccdot%20x%2F4%7D%3D8%5E%7Bx%2F12%7D%3D%5Cboxed%7B%5Cleft%28%5C%21%5Csqrt%5B12%5D%7B8%7D%5Cright%29%5Ex%7D)
Answer:
#1 is 17 and #2 is 25.
Step-by-step explanation:
You're going to use the Pythagorean Theorem which is a²+b²=c².
1.) a and b are called legs and the missing length is called the hypotenuse. The legs are the numbers given to you, such as, 8 and 15. Plug them into the equation: 8²+15²=c².
2.) 64+225=c²
3.) 289=c²
4.) 25=c
We can see a right triangle in this problem,
where a vertical distance is a leg that opposite to the angle 20⁰ , and horizontal distance is an adjacent leg to the 20⁰ angle.
So,
tan (20⁰) = opposite leg/adjacent leg
tan (20⁰) = vertical distance/horizontal distance
tan (20⁰) = 30 /horizontal distance
horizontal distance= 30/tan(20⁰) ≈ 82.4 in.
