Answers:
a = 2
b = 3
=======================================================
Explanation:
Plug in x = 0 and y = 2 to find that
y = a*b^x
2 = a*b^0
2 = a*1
2 = a
a = 2
Then plug in x = 3 and y = 54 to determine the value of b
y = a*b^x
y = 2*b^x
54 = 2*b^3
2b^3 = 54
b^3 = 54/2
b^3 = 27
b = (27)^(1/3)
b = 3
So we have y = a*b^x update to y = 2*3^x
Assuming the five frame is for the number five (5) then place 5 counters in the frame.
Answer:
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<em></em>
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Step-by-step explanation:
Required
Show that:
To make the proof easier, I've added a screenshot of the triangle.
We make use of alternate angles to complete the proof.
In the attached triangle, the two angles beside 
are alternate to 
and 
i.e.
Using angle on a straight line theorem, we have:
Substitute values for (1) and (2)
Rewrite as:
<em></em><em> -- proved</em>
Answer:
Buy the batteries and stereo online:
4.99*2= $9.98 +$90 = $99.98
6.99-5.00 = $1.99
99.98+1.99=$101.97
3Cds in store
7.97*3= $23.85
5% tax = 1.19
10% off = 2.39
$23.85 - $1.19= $22.66
22.66 + 101.97= $124.63
All in store:
12+100+23.85= 135.85 - 6.45 = $129.40
All online:
9.98 + 90 + 26.85= 126.85 +$1.99 = 128.84
<u><em>(CREDIT: Hussain514)</em></u>
Let
A = event that the student is on the honor roll
B = event that the student has a part-time job
C = event that the student is on the honor roll and has a part-time job
We are given
P(A) = 0.40
P(B) = 0.60
P(C) = 0.22
note: P(C) = P(A and B)
We want to find out P(A|B) which is "the probability of getting event A given that we know event B is true". This is a conditional probability
P(A|B) = [P(A and B)]/P(B)
P(A|B) = P(C)/P(B)
P(A|B) = 0.22/0.6
P(A|B) = 0.3667 which is approximate
Convert this to a percentage to get roughly 36.67% and this rounds to 37%
Final Answer: 37%
