Put the problem into a proportion to make it easier to solve.
32 x
=
16 100
You can use cross products to simplify this proportion. Multiply 32 by 100, and set that number equal to 16 *x.
Your equation should now look like this
3200=16x
You are trying to get the variable alone on one side, so you should divide both sides by 16.
If this is performed correctly, then your final answer should be
x=200.
It will take you 200 minutes (3 hours 20 mins) to read the pages that you promised Ms. Williams
Answer:
Option A
Step-by-step explanation:
<u>Given equation is</u>
=> 3y = 6x + 3
<u>In slope-intercept form, it becomes</u>
=> 3y = 3(2x+1)
=> y = 2x+1
So, Slope = m = 2
<u><em>Parallel lines have equal slope, So any line parallel to the above line would have its slope equal to 2</em></u>
=> Line parallel to 3y = 6x + 3 is y = 2x + 10
The points on the red arc are points A and B
The measure of the red arc is 75 degrees
<h3>How to determine the measure of arc XYZ?</h3>
From the complete question, we have:
Angle DCE = 75 degrees
By vertical angles theorem,
Angle ACB = Angle DCE = 75 degrees
So, we have:
Angle ACB = 75 degrees
The measure of the red arc is the same as the measure of the angle ACB.
So, we have:
Red arc = 75 degrees
Hence, the measure of the red arc is 75 degrees
Read more about arc and chords at:
brainly.com/question/25871159
Answer:
a. P(x = 0 | λ = 1.2) = 0.301
b. P(x ≥ 8 | λ = 1.2) = 0.000
c. P(x > 5 | λ = 1.2) = 0.002
Step-by-step explanation:
If the number of defects per carton is Poisson distributed, with parameter 1.2 pens/carton, we can model the probability of k defects as:

a. What is the probability of selecting a carton and finding no defective pens?
This happens for k=0, so the probability is:

b. What is the probability of finding eight or more defective pens in a carton?
This can be calculated as one minus the probablity of having 7 or less defective pens.



c. Suppose a purchaser of these pens will quit buying from the company if a carton contains more than five defective pens. What is the probability that a carton contains more than five defective pens?
We can calculate this as we did the previous question, but for k=5.

27.8 × 9.6 is equal to <span>266.88</span><span>
So, the closest would be A. 280.</span>