Answer:
B) 4
Step-by-step explanation:
There is an outbuilding that has an area of 80 square feet. The rectangle on the blueprint that represents the outbuilding has an area of 20 square inches. If the actual outbuilding has a wall length of 10 feet, what is the length of that wall on the blueprint . A) 3 B) 4 C) 5 D) 6
The length of the wall on the blue print can be calculated as:
20 square feet ÷ 5
= 4 feet
In probability, there are hint clues that you must be vigilant of. When it tells you to find the probability of event 1 'or' event 2, you must ADD their individual probabilities. When it tells you to find the probability of event 1 'and' event 2, you must MULTIPLY their individual probabilities.
Now, you have two dices. You are asked to find the probability of getting a face of 3, 4 or 5. The probability of each face of a dice is 1/6, because there are a total of 6 faces. When you use two dices, it becomes 2/12 or still 1/6. So, the total probability of getting either 3, 4 or 5 is: 1/6 + 1/6 + 1/6 = 1/2. However, you still have to multiply this with the total probability of getting a prime numbers which are 1, 2, 3 and 5. Thus, 1/6 + 1/6 + 1/6 + 1/6 = 2/3
Hence, the total probability would be 1/2 * 2/3 = 1/3 or 33%
Answer:
A' (3/2, -9/4)
B' (-3, 9/4)
C' (3/2, 9/4)
Step-by-step explanation:
1. You have the following coordinates of the vertices of the triangle ABC:
A (-2, 3) B (4, -3) C (-2, -3)
2. The given scale factor is -3/4, therefore, to calculate the coordinates of the triangle A'B'C', you must multiply each coordinate of the triangle ABC by the scale factor.
3. Therefore, you obtain that the the coordinates of the triangle A'B'C' are:
A'=((-2)(-3/4), (3)(-3/4))=(3/2, -9/4)
B'=(4(-3/4), (-3)(-3/4))=(-3, 9/4)
C'=((-2)(-3/4), (-3)(-3/4))=(3/2, 9/4)
Answer:
Step 1: Simplify both sides of the equation.
Step-by-step explanation:
x+−13=13
Answer:
Cannot create sample
Step-by-step explanation:
We are given the following in the question:
4, -2, -6, 19, 6
Formula:
where 
are data points, 
is the mean and n is the number of observations.
Sum of squares of differences = 0.04 + 38.44 + 104.04 + 219.04 + 3.24 = 364.8
If we add an observation equal to the mean of given sample, then the mean and of new sample will not change.
New sample:
4, -2, -6, 19, 6, 4.2
Sum of squares of differences = 0.04 + 38.44 + 104.04 + 219.04 + 3.24 + 0 = 364.8
Thus, the variance of new sample changes.
Thus, it is not possible to create a sample.
