3 is the greatest common denominator
Area = length x width
area = 2 3/4 x 2/5
area = 1 1/10 feet :)
Answer:
The probability that the maximum speed is at most 49 km/h is 0.8340.
Step-by-step explanation:
Let the random variable<em> </em><em>X</em> be defined as the maximum speed of a moped.
The random variable <em>X</em> is Normally distributed with mean, <em>μ</em> = 46.8 km/h and standard deviation, <em>σ</em> = 1.75 km/h.
To compute the probability of a Normally distributed random variable we first need to convert the raw score of the random variable to a standardized or <em>z</em>-score.
The formula to convert <em>X</em> into <em>z</em>-score is:

Compute the probability that the maximum speed is at most 49 km/h as follows:
Apply continuity correction:
P (X ≤ 49) = P (X < 49 - 0.50)
= P (X < 48.50)

*Use a <em>z</em>-table for the probability.
Thus, the probability that the maximum speed is at most 49 km/h is 0.8340.
Answer:
the answers are on the picture but the numbers may be rounded
We will see that the exponential decay function is:
f(x) = 175*(0.8)^x
<h3>
How to find the exponential decay?</h3>
The general exponential decay is:
f(x) = A*(1- r)^x
Where:
- A is the initial value.
- r is the rate of decay in decimal form.
- x is the variable, in this case is the time.
Here we know that the initial value is 175, and the rate of decay is 20%. To get this in decimal form, we just divide it by 100%.
20%/100% = 0.2
Replacing that in the exponential function, we get:
f(x) = 175*(1 - 0.2)^x
f(x) = 175*(0.8)^x
If you want to learn more about exponential functions, you can read:
brainly.com/question/11464095