Answer:
Step-by-step explanation:
<u>Probabilities</u>
The question describes an event where two counters are taken out of a bag that originally contains 11 counters, 5 of which are white.
Let's call W to the event of picking a white counter in any of the two extractions, and N when the counter is not white. The sample space of the random experience is
We are required to compute the probability that only one of the counters is white. It means that the favorable options are
Let's calculate both probabilities separately. At first, there are 11 counters, and 5 of them are white. Thus the probability of picking a white counter is
Once a white counter is out, there are only 4 of them and 10 counters in total. The probability to pick a non-white counter is now
Thus the option WN has the probability
Now for the second option NW. The initial probability to pick a non-white counter is
The probability to pick a white counter is
Thus the option NW has the probability
The total probability of event A is the sum of both
Answer:
Take a look at the 'proof' below
Step-by-step explanation:
The graph of the function g(x) is similar to that of the function f(t). The local minimum, local maximum, absolute minimum, maximum etc... of 'x' is always the closest x-intercept of the graph of f(t).
Let's check if this statement is right. The two local minimum(s) of the function f(t) occurs at x = 2, and x = 6. The two local maximum(s) occur at 1/4 and 4. As you can see the maximum / minimum of the function g(x) is always an x-intercept, x = 3, x = 7.
For part (b) the absolute maximum value of the function f(t), is 8. The closest x-intercept is 9, which is our solution.
Answer:
a. IT = 9.75 * X
b. GT = 4500 + 4.25 * X
c. G = 9.75 * X - 4500 - 4.25 * X
Step-by-step explanation:
With the data of the statement we can get a function. Let X be the number of pounds sold.
to. Monthly income
IT = 9.75 * X
b. Monthly expenses
GT = 4500 + 4.25 * X
c. Monthly Earnings (Monthly Income - Monthly Expenses)
G = 9.75 * X - (4500 + 4.25 * X)
G = 9.75 * X - 4500 - 4.25 * X
Answer:
<em>Answer is option d</em><em> </em>
<em>Answer is </em><em>given below with explanations</em><em>. </em>
Step-by-step explanation:
We can prove that the two triangles are similar.
We can prove this using AA criterion of similarity.
In triangle DNC and triangle QSC
Vertically opposite angles are equal.
Then Angle QCS = Angle DCN
Two parallel lines cut by a transversal line make the alternate angles are equal.
Then Angle NDC = Angle CQS
By AA criterion of similarity
TRIANGLE DNC ~ TRIANGLE QSC
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Answer:
24 in²
Step-by-step explanation:
Hello there!
the figure shown is a triangular prism
The base is the triangle
So we need to find the area of the triangle using this formula
where b = base and h = height
The base (triangle) has a base length of 8 inches and a height of 6 inches
Having found the information we needed, we plug it into the formula
So
So the area of the base is 24 in²