Answer:
The answer is below
Step-by-step explanation:
The empirical rules states that for a normal distribution, 68% of the data falls within one standard deviation from the mean, 95% falls within two standard deviation from the mean and 99.7% falls within three standard deviations from the mean.
Given that:
mean (μ) = 71 inches, standard deviation (σ) = 4.3 inches
One standard deviation = μ ± σ = 71 ± 4.3 = (66.7, 75.3)
Two standard deviation = μ ± 2σ = 71 ± 2*4.3 = (62.4, 79.6)
Three standard deviation = μ ± 3σ = 71 ± 3*4.3 = (58.1, 83.9)
The graph is attached
Answer:
x = 25
Step-by-step explanation:
Since the triangles are congruent then corresponding angles are congruent.
That is ∠ D and ∠ B are corresponding angles and congruent, thus
4x - 20 = 2x + 30 ( subtract 2x from both sides )
2x - 20 = 30 ( add 20 to both sides )
2x = 50 ( divide both sides by 2 )
x = 25
To do this, you would need to use synthetic division.
-2 | 4 -3 10
-8 22
4 -11 32
Your reminder would be 32.
Sorry if my graph of synthetic division is a bit messy, you can only do so much on a phone!
First, use the distributive property and split 2 off from 1/2 in the hours category.
(2) (1/2)
Next, multiply 2 1/4 times 2, the first integer in the distributive equation.
2 1/4*2 = 4 1/2
For now, put 4 1/2 aside.
Then, multiply 2 1/4 by 1/2.
2 1/4*1/2 = 1 1/8
Now, add the two products together
4 1/2 + 1 1/8 = 5 5/8
Answer is 5 and 5/8
Hope this helps!
