x + y = 53
x -y = 9 Adding both equations
2x = 62
x = 31 y = 22
Answer:
-123
Step-by-step explanation:
The remainder theorem says that when a polynomial is divided by a linear factor x - c (note the minus sign), the remainder is the value of the polynomial at x = c.
When a polynomial P(x) is divided by x - c, the remainder is P(c). In other words, to find the remainder, plug in c for x.
You're dividing by x + 4 which is the same thing as x - (-4) -- the role of c is being played by -4.
3(–4)^3 – (–4)^2 – 20(–4) + 5 = –123
Answer:
Significance of the mean of a probability distribution.
Step-by-step explanation:
- The mean of a probability distribution is the arithmetic average value of a random variable having that distribution.
- For a discrete probability distribution, the mean is given by,
, where P(x) is the probabiliy mass function. - For a continuous probability distribution, the mean s given by,
, where f(x) is the probability density function. - Mean is a measure of central location of a random variable.
- It is the weighted average of the values that X can take, with weights given by the probability density function.
- The mean is known as expected value or expectation of X.
- An important consequence of this is that the mean of any symmetric random variable (continuous or discrete) is always on the axis of symmetry of the distribution.
- For a continuous random variable, the mean is always on the axis of symmetry of the probability density function.
Answer:
y=4/3x-3
Step-by-step explanation:
Answer: The length of flagpole is 24 feet.
Step-by-step explanation:
Since we have given that
Length of shadow =40 feet
Angle of elevation to the sun = 
In ΔABC,
We can apply "trigonometric rules ",

Hence, the length of flagpole is 24 feet.