Answer:
x = 6 ft
Step-by-step explanation:
Total area of the given polygon = Area of triangle 1 + Area of rectangle 2 + Area of triangle 3
Area of triangle 1 = Area of triangle 3 = 
= 
= 4x square feet
Area of rectangle 2 = Length × Width
= 16 × 8
= 128 square feet
Total area of the given polygon = 4x + 128 + 4x
176 = 8x + 128
8x = 176 - 128
x =
x = 6 ft
Answer:
14 gallons
Step-by-step explanation:
If 11 2/3 gallons represents 5/6 full bucket then we can equate that
x=1 full

Therefore, the bucket requires 14 gallons
Answer:
The following points are not arranged in a parallelogram or rectangle order.
Step-by-step explanation:
Well first we need to graph the following.
A(1,1) B(2,2) C(3,3) D(4,4)
By looking at the image below we can tell it is not any shape, it’s not a parallelogram or a rectangle.
It is a line with a slope of 1 or x.
Since the goal of the game is to have as few centimeters away as possible the lowest number 107 or Robin is winning
Answer:
The approximate probability that the mean of the rounded ages within 0.25 years of the mean of the true ages is P=0.766.
Step-by-step explanation:
We have a uniform distribution from which we are taking a sample of size n=48. We have to determine the sampling distribution and calculate the probability of getting a sample within 0.25 years of the mean of the true ages.
The mean of the uniform distribution is:

The standard deviation of the uniform distribution is:

The sampling distribution can be approximated as a normal distribution with the following parameters:

We can now calculate the probability that the sample mean falls within 0.25 from the mean of the true ages using the z-score:
