Answer:
A).
B).
Step-by-step explanation:
A).
To get the square root of the given expression we will convert it into the square form.
[Since 2×2 = 4 and
]
Therefore,
B).
Since,
Therefore, [Since 3² = 9 and (m⁷)² = m¹⁴]
Answer:
Step-by-step explanation:
We have that the polynomial, has a root of multiplicity 2 at x = 3 and a root of multiplicity 1 at x = -2.
This means the factored form of the polynomial will be.
Also, it was given that, the y-intercept is y=-12.6.
This implies that:
Divide both sides by 18;
Therefore the polynomial is
Answer:
The probability that the plane is oveloaded is P=0.9983.
The pilot should take out the baggage and send it in another plain or have less passengers in the plain to not overload.
Step-by-step explanation:
The aircraft will be overloaded if the mean weight of the passengers is greater than 163 lb.
If the plane is full, we have 41 men in the plane. This is our sample size.
The weights of men are normally distributed with a mean of 180.5 lb and a standard deviation of 38.2.
So the mean of the sample is 180.5 lb (equal to the population mean).
The standard deviation is:
Then, we can calculate the z value for x=163 lb.
The probability that the mean weight of the men in the airplane is below 163 lb is P=0.0017
Then the probability that the plane is oveloaded is P=0.9983:
The pilot should take out the baggage or have less passengers in the plain to not overload.