First ordered pair: (3,-7)
y=2/3x-5
-7=2/3-5
false
Ordered pair #2: (7.5,0)
y=2/3x-5
0=5-5
true
Ordered pair #3: (0,5)
y=2/3x-5
5=0-5
false
Ordered pair #4: (6,1)
y=2/3x-5
1=4-5
false
the answer to this question is the second option
The actual height of building is 1800 feet.
Step-by-step explanation:
Given,
Height of building in model = 3 inches
Scale used by engineer;
1 inch = 600 feet
Therefore;
Actual height of building = Height in model * Scale used
Actual height of building = 3 * 600
Actual height of building = 1800 feet
The actual height of building is 1800 feet.
Answer:
y=-3x-16
Step-by-step explanation:
y-y1=m(x-x1)
y-(-7)=-3(x-(-3))
y+7=-3(x+3)
y=-3x-9-7
y=-3x-16
Answer:
We estimate to have 8.33 times the number 6 in 50 trials.
Step-by-step explanation:
Let us consider a success to get a 6. In this case, note that the probability of having a 6 in one spin is 1/6. We can consider the number of 6's in 50 spins to be a binomial random variable. Then, let X to be the number of trials we get a 6 out of 50 trials. Then, we have the following model.

We will estimate the number of times that she spins a 6 as the expected value of this random variable.
Recall that if we have X as a binomial random variable of n trials with a probability of success of p, then it's expected value is np.
Then , in this case, with n=50 and p=1/6 we expect to have
number of times of having a 6, which is 8.33.