Starting in the year 1800, the population of the United States was recorded until the year 2000. The data is summarized below wi
th a linear function and an exponential function to model the data.
Linear Function: f(x) = 1.363x - 35.2
Exponential Function: f(x) = 7.8 * 1.02^x
Use the linear function and calculate the predicted value and residual value for 1880. Then use the exponential function to calculate the predicted and residual value for 1920.
Select all answer choices that are correct.
b = -23.64
a = 73.84
a = 12.579
b = 73.84
c = 83.97
d = 21.73
c = -23.09
Linear Function: f(x) = 1.363x - 35.2
Exponential Function: f(x) = 7.8 * 1.02^x
Use the linear function and calculate the predicted value and residual value for 1880. Then use the exponential function to calculate the predicted and residual value for 1920.
Select all answer choices that are correct.
b = -23.64
a = 73.84
a = 12.579
b = 73.84
c = 83.97
d = 21.73
c = -23.09
2 answers:
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Answer:
Step-by-step explanation:
The given probabilities are; P(Orange) = 1/3, P(Blue) = 1/6, P(Purple) = 1/2
The probability of rolling any of the six numbers of the six-sided die = 1/6
a. The probability of simultaneously 'rolling a 3' and 'spinning blue', P(3 and Blue) is given as follows;
P(rolling a 3) = 1/6, P(Blue) = 1/6
∴ P(3 and Blue) = (1/6) × (1/6) = 1/36
P(3 and Blue) = 1/36
b. The probability of either 'rolling a 1' or 'spinning Orange', P(1 or Orange), is given as follows;
P(rolling a 1) = 1/6, P(Orange) = 1/3
P(1 or Orange) = P(rolling a 1) + P(Orange) - P(1 and Orange)
Where;
P(1 and Orange) = (1/6) × (1/3) = 1/18
∴ P(1 or Orange) = 1/6 + 1/3 - 1/18 = 4/9
P(1 or Orange) = 4/9
c. The probability of not spinning a blue, P(not Blue) is given as follows;
P(not Blue) = P(rolling all outcomes of the die) and (The sum of the spin probabilities - P(Blue)
∴ P(not Blue) = 1 × ((1/3 + 1/6 + 1/2) - 1/6) = 1 × (1 - 1/6) = 5/6
P(not Blue) = 5/6
Answer:
Step-by-step explanation:
1st you want to find a common denominator. which is 8.
2nd change to
3rd you add and
together an you get