Answer:
a.is approximately normal because of the central limit theorem.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean 
and standard deviation 
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean and standard deviation 
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this question:
Sample limit of 32 > 30, so the distribution is approximately normal because of the central limit theorem, and the correct answer is given by option a.
angle for triangle is 180°
angle ACB is 75° because it has mention that is an isosceles triangle
So that angle of BAC is 180°-75°-75°=30°
Answer:
Step-by-step explanation:
Slope is 0
Answer:
The answer to your question is 48 chairs
Step-by-step explanation:
Data
5 rows- 3 chairs left over
3 rows - 21 chairs left over
Process
1.- Write two equations each for each situation
x = number of rows
y = number of chairs
Equation 1 y = 5x + 3
Equation 2 y = 3x + 21
2.- Solve the system by equality
5x + 3 = 3x + 21
5x - 3x = 21 - 3
2x = 18
x = 18/2
x = 9
3.- Find the total number of chairs
y = 5(9)+ 3 y = 3(9) + 21
y = 45 + 3 y = 27 + 21
y = 48 y = 48
4.- Conclusion
There are 48 chairs
Answer:
Step-by-step explanation:
We need to figure out how far Eric's car takes him in 1 rotation based on the diameter of his tire in feet. If the diameter of the tire is 18", then it is 1.5'. The circumference will tell us the distance 1 rotation of his tires will take him:
C = 3.1415(1.5) so
C = 4.71225 feet is how far he goes in 1 rotation. If he travels 88 feet in 1 second, we can figure the number of rotations by dividing 88 by 4.71225 to give us the unit rate (or, rotations per second his car makes). This quotient is 18.67 feet per sec, which rounds to 19, choice B.
