Given:
Max's house has two steps on the front porch.
Size of each step is the same.
To find:
The total vertical distance covered by the two steps.
Solution:
From the given figure, it is clear that,
Base length of each step = 6 in
Hypotenuse = 10 in
Let h be the vertical height of each step.
Using Pythagoras theorem, the vertical height of one step is
Taking square root on both sides.
Height cannot be negative. So, h = 8 in.
Now,
Vertical height of 2 steps = 
= 
So, the total vertical distance covered by the two steps is 16 in.
Therefore, the correct option is A.
Answer:
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Step-by-step explanation:
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Answer:
-19
Step-by-step explanation:
1) substitute a with 2 and b with 5
(3 + 2)^2 * (4-5) + √36
2) solve the brackets and the square root
(5^2) * (-1) + 6
3) solve the power
25 *(-1) + 6
4) solve the multiplication
-25 + 6
5) solve the sum
- 19
Answer:
1- P(-0.47 < z < 0.47) = 0.63836
Step-by-step explanation:
Here, we want to get the answer to;
1-P ( -0.47 < z < 0.47)
Mathematically, we are going to use the standard normal distribution table for this
Let us try to evaluate;
P(-0.47 < z < 0.47)
Mathematically, that will be;
P (z < 0.47) - P(z < -0.47)
where P (z < -0.47) = P( z > 0.47)
so we have
P(-0.47 < z < 0.47) = P(z < 0.47) - P(z > 0.47)
So we have this using the standard normal distribution table as follows;
0.68082 - 0.31818 = 0.36164
Now, we can insert this in the earlier expression of;
1- P(-0.47 < z < 0.47)
= 1-0.36164 = 0.63836
