A constant force is applied to an object, causing the object to accelerate at 10 m/s^2. What will the acceleration be if the for
1 answer:
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Given Information:
Mean length of aluminum rods = μ = 10 cm
Standard deviation of length of aluminum rods = σ = 0.02 cm
Required Information:
a) P(9.98 < X < 10.02) = ?
b) P(9.90 < X < 10.1) = ?
Answer:
a) P(9.98 < X < 10.02) = 68.27%
b) P(9.90 < X < 10.1) = 100%
Explanation:
What is Normal Distribution?
Normal Distribution or also known as Gaussian Distribution, is a continuous probability distribution and is symmetrical around the mean. The shape of this distribution is like a bell curve and most of the data is clustered around the mean. The area under this bell shaped curve represents the probability
a) We want to find out the probability that the length of aluminum rods is between 9.98 and 10.02 cm.
The z-score corresponding to -1 is 0.15866 and 1 is 0.84134
Therefore, the probability that the length of aluminum rods is between 9.98 and 10.02 cm is 68.27%
b) We want to find out the probability that the length of aluminum rods is between 9.90 and 10.1 cm.
The z-score corresponding to -5 is 0 and 5 is 1
Therefore, the probability that the length of aluminum rods is between 9.90 and 10.1 cm is 100%
How to use z-table?
Step 1:
In the z-table, find the two-digit number on the left side corresponding to your z-score. (e.g 1.0, 2.2, 0.5 etc.)
Step 2:
Then look up at the top of z-table to find the remaining decimal point in the range of 0.00 to 0.09. (e.g. if you are looking for 1.00 then go for 0.00 column)
Step 3:
Finally, find the corresponding probability from the z-table at the intersection of step 1 and step 2.
This question is incomplete, the complete question is;
A woman is 160cm tall. What is the minimum vertical length of a mirror in which she can see her entire body while standing upright.
Hint: Consider the ray diagram below, of the rays that enable her to see her feet and the top of her head.
Use what you know about the law of reflection, together with a bit geometry.
The missing Image is uploaded along this answer below.
Answer:
the minimum vertical length of a mirror in which she can see her entire body while standing upright is 80 cm
Explanation:
Given the data in the question and illustrated in the image below,
From image 2;
The distance from the woman's eyes to the top of her head is represented as b and a represent the distance from her eyes to her feet.
Therefore, since her height is 160 cm
a + b = 160 ------ let this be equation 1
i.e AD + DG = 160 cm
Now, from the same image 2, we will notice that triangle ABC and tringle CBD are similar, so
∠ABC = ∠CBD
AC = CD
since AD = a and AC + CD = A
AC = CD = a/2
Also, triangle DEF and FEG are si,ilar
∠DEF = ∠FEG
so
DF = FG
since DG = b and DF + FG = b
DF = b/2
so the minimum vertical length of a mirror in which the woman can see her entire body while standing upright will be;
⇒ a/2 + b/2
⇒ a + b / 2
from equation 1, a + b = 160
so
⇒ a + b / 2 = 160 / 2 = 80
Therefore, the minimum vertical length of a mirror in which she can see her entire body while standing upright is 80 cm
