Answer:
172% of 50 means 172÷100 multiplied by 50 will give you 86
Answer:
D (3,1)
Step-by-step explanation:
solving simultaneous equations
Arrange equations
2x+y=7
3x-4y=5
make y side cancell by addition by multiplying by 4 and 1 as shown
4{2x+y=7}
1{3x-4y=5}
8x+4y=28
3x-4y=5
11x=33
x=33/11=3
substitute for x=3 in 3x-4y=5
9-4y=5
4=4y
y=1
Answer:
The 95% confidence interval = (98.225, 98.655)
Step-by-step explanation:
The formula for Confidence Interval =
Mean ± z × standard deviation/√n
Where Mean = 98.44°F
Standard deviation = 0.30°F
n = number of samples is 10
Because our number if samples is small, we use the t score confidence interval formula
Mean ± t × standard deviation/√n
Degrees of Freedom = n - 1
= 10 - 1 = 9
We find the t score of 95% confidence interval and degrees of freedom 9
= 2.262
Hence,
Confidence interval = 98.44 ± 2.262 × 0.30/√10
= 98.44 ± 0.214592162
Confidence Interval
98.44 - 0.214592162
= 98.225407838
≈ 98.225
98.44 + 0.214592162
= 98.654592162
≈ 98.655
The 95% confidence interval = (98.225, 98.655)
Answer: Option A

Step-by-step explanation:
Note that for the initial year, 1990, the population was 5.3 billion.
The exchange rate is 0.09125 billion per year. In other words, each year there are 0.09125 billion more people.
In year 2 there will be 0.09125 * 2 billion people
In year 3 there will be 0.09125 * 3 billion people
In year 4 there will be 0.09125 * 4 billion people
In year t there will be 0.09125 * t billion of people
So the equation that models the number of people that there will be as a function of time is:

Where
is the initial population
billion
r is the rate of increase
billion per year
finally the equation is:

The correct answer is option A.