The answer is 7.96226 or 8
Step-by-step explanation:
Answer:
Step-by-step explanation:
When we divide powers with the same base (in this case, that same base is 7), we can just combine the powers into one number with an exponent as the difference of the original exponents.
For example, here we have , which is equal to .
Now, we're taking the square of 7^3, so we just multiply the exponents:
Thus, the answer is .
Hope this helps!
Let's make an equation.
x+y+z=72
X will be the smallest number. Since they are consecutive, one number is one greater and the other is two greater. Let's make equation for y and z.
x+1=y; the middle number.
x+2=z; the greatest number.
Let's plug these in the equation.
x+x+1+x+2=72
Let's add like terms.
3x+3=72
Subtract 3.
3x=69
Now divide.
69÷3=23
So, the smallest number is 23. So, it must be set a. Let's check.
23+24=47+25=72
So, set a is the correct answer.
Answer:
a) All of them are out of charge = 9.31x10⁻¹⁰
b) 20% of them are out of charge = 5.529x10⁻⁴
Step-by-step explanation:
This problem can be modeled as a binomial distribution since
There are n repeated trials and all of them are independent of each other.
There are only two possibilities: battery is out of charge and battery is not out of charge.
The probability of success does not change with trial to trial.
Since it is given that it is equally likely for the battery to be out of charge or not out of charge so probability of success is 50% or 0.50
P = 0.50
1 - P = 0.50
a) All of them are out of charge?
Probability = nCx * P^x * (1 - P)^n-x
Probability = ₃₀C₃₀(0.50)³⁰(0.50)⁰
Probability = 9.31x10⁻¹⁰
b) 20% of them are out of charge?
0.20*30 = 6 batteries are out of charge
Probability =₃₀C₆(0.50)²⁴(0.50)⁶
Probability = 5.529x10⁻⁴
Answer:
the domain is all realz
the range is all realz
Step-by-step explanation: