Answer:
12.1%
Step-by-step explanation:
Given that:
Mean (μ) = 20.2 grams and standard deviation (σ) = 0.18 grams.
The z score is a score used to determine the number of standard deviations by which the raw score is above or below the mean. A positive z score means that the raw score is above the mean and a negative z score means that the raw score is below the mean. It is given by:

a) For x < 19.99 g:

From the normal distribution table, P(x < 19.99) = P(z < -1.17) = 0.1210 = 12.1%
The probability that a randomly chosen mouse has a mass of less than 19.99 grams is 12.1%
Answer: a. OHeight = 2 x radius
Step-by-step explanation:
Answer:
see the explanation
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
m∠PQS+m∠SQR=m∠PQR ----> equation A (by Addition Angle Postulate)
we have that
m∠PQR=90° ----> equation B given problem (because is a right angle)
substitute equation B in equation A
m∠PQS+m∠SQR=90°
Remember that
Two angles re complementary is their sum is equal to 90 degrees (Definition of complementary angles)
therefore
m∠PQS and m∠SQR are complementary angles
Step-by-step explanation:
- If the stock goes up 30%, it's multiplied by
.
The reason is that 
- If the stock goes down 20%, it's multiplied by

The reason is that 
- If the stock goes down 30%, it's multiplied by

The reason is that 
- If the stock goes up 40%, it's multiplied by
.
The reason is that 
So
If you increase it by 30% and then drop it by 20%, it means you are multiplying it by
and then multiplying it by
. In other words:

So, the net gain is = .04
Assume the original value = 500
Increase it by 30% and it becomes 650
Decrease 650 by 20% and it becomes 520
So, the net gain = 20
Verification:
And
If you drop it by 30% and then increase it by 40%, you are multiplying it by .7 and then multiplying it by 1.4. In other words:

So, the net loss is = 1 - 0.98 = .02
Assume the original value = 500
Decrease it by 30% and it becomes 350.
increase 350 by 40% and it becomes 490.
So, the net loss is = 10
Verification:

Keywords: stock, loss, gain
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