Answer:

Step-by-step explanation:
<em>The image if the circle and triangle can be found online</em>
Given



Required
The perimeter of JKL
Since the mid-points of the tangents are A, B and C respectively.

Where


So:




Where

So:

So, the perimeter (P) is:



Answer:
for plates she can buy 3 and for cups she can buy 2
Step-by-step explanation:
both multiply up to 24
Answer:
A. The number of days Harrison has read since he started the project.
Answer: T = 22,000 - 1,900n
Step-by-step explanation:
Taxable value is $22,000
The tax code allows for the depreciation of this van by $1,900 per year.
After n years therefore the total depreciation is;
= 1,900 * n
This depreciation will need to be removed from the taxable value of $22,000 to find out the taxable value left.
Formula is therefore;
T = 22,000 - 1,900n
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.