9514 1404 393
Answer:
3
Step-by-step explanation:
The average rate of change is the slope of the line between the points at the ends of the interval: (1, -2) and (3, 4). That is given by the slope formula ...
m = (y2 -y1)/(x2 -x1)
m = (4 -(-2))/(3 -1) = 6/2
m = 3
The average rate of change on the interval is 3.
Answer:
1 + (11-4)^2 +3x5
Step-by-step explanation:
1 + (11-4)^2 +3x5
1 + (7)^2 + 3 x 5
1 + 49 + 15
50 + 15 = 65
Answer:
AD ║ BC
Third option
Step-by-step explanation:
Parallelogram the opposite sides are parallel.
Answer
AD ║ BC
Answer:
B
Step-by-step explanation:
Note that angle JOM and angle LOK are vertical angles meaning that they are congruent ( equal to each other )
We are given that angle MOK and angle JOM are supplementary
Supplementary angles add up to 180
This means that:
angle MOK + angle JOM = 180
If angle JOM = angle LOK
Then angle MOK + angle LOK also = 180
If angle MOK = 66 and angle LOK = x + 64
Then 66 + x + 64 = 180
Note that we've just created an equation that we can use to solve for x
We now solve for x
66 + x + 64 = 180
Combine like terms
66 + 64 = 130
130 + x = 180
Subtract 130 from both sides
x = 50
We also want to find the measure of angle LOK.
To do so we simply plug in the value of x into x + 64
angle LOK = x + 64
x = 50
angle LOK = 50 + 64 = 114
So x = 50 and angle LOK = 114
Hence the answer is B
Answer: 0.7887
Step-by-step explanation:
Let x be the random variable that represents the diameters of the corks .
Given : The first produces corks with diameters that are normally distributed with mean 3 cm and standard deviation 0.08 cm.
i.e. 
Acceptable corks have diameters between 2.9 cm and 3.1 cm.
Then, the probability that the first machine produces an acceptable cork will be :_
∴ The probability that the first machine produces an acceptable cork= 0.7887
