To round a number to the nearest hundred, we count two places to the left of the decimal point, or from the last digit if the number is a whole number.
If the second digit from the last digit is upto 5, we add 1 to the preceding digit and we complete the last two numbers with zeros.
Therefore, any number from 11,950 to 12,049, will result to 12,000 when rounded to the nearest hundred.
Answer: Option 'c' is correct.
Step-by-step explanation:
Since we have given that
Mean of students' age = 24 years
Standard deviation of students' age = 3 years
Sample size = number of students = 350
So, according to options,
a. The shape of the sampling distribution is approximately normal.
It is true as n >30, we will use normal.
b. The mean of the sampling distribution is approximately 24-years old.
It is true as it is given.
c. The standard deviation of the sampling distribution is equal to 5 years.
It is not true as it is given 3 years.
Hence, Option 'c' is correct.
Answer:
1) 5
2) 0.2
Step-by-step explanation:
The complete question is attached below.
The x-axis represents the time in hours and y-axis represents the distance in kilometers.
The first question asks how many kilometers, does Kendrick walk per hour. The straight line represents the distance traveled at various amounts of time.
The point marked on the graph is against time = 1 hour and Distance = 5 km. So this shows:
Kendrick walks 5 kilometers in 1 hour.
In next part, we have to find how much time Kendrick takes to walk 1 kilometer.
Since, we know that:
Kendrick walks 5 kilometers in time = 1 hour
Dividing both sides by 5, we can write:
Kendrick walks 1 kilometer in time = 1/5 hour = 0.2 hour
So, Kendrick takes 0.2 hours to walk 1 kilometer.
Answer:
Ox>5
x is less than 5
means nothing more than 5 but anything less than 5
We have that the spring is going to have a sin or a cos equation. We have that the maximum distance of the spring is 6 inches and it is achieved at t=0. Let's fix this as the positive edge. Until now, we have that the function is of the form:
6sin(at+B). We have that the period is 4 minutes and hence that the time component in the equation needs to make a period (2pi) in 4 minutes. Thus 4min*a=2p, a=2p/4=pi/2. In general, a=2pi/T where a is this coefficient, T is the period. Finally, for B, since sin(pi/2)=1, we have that B=pi/2 because when t=0, we have that 6sin(B)=6. Substituting, we have f(t)=6sin(pi*t/2+pi/2)=6cos(pi*t/2)
by trigonometric identities.
