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Answer:</h2>
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Step-by-step explanation:</h2>
<em>I hope this helps you</em>
<em>:)</em>
16 = G + C
C = G - 6
16 = G + G - 6
16 = 2G - 6
22 = 2G
11 = G
G = 11
20 = B + K
B = 3K
20 = 3K + K
20 = 4K
5 = K
20 - 5 = 15
B = 15
Answer:
See below.
Step-by-step explanation:
a.
The first figure has 1 square. The second figure has a column of 2 squares added to the left. The third figure has a column of 3 squares added to the left. Each new figure has a column of squares added to the left containing the same number of squares as the number of the figure.
b.
Figure 10 has 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 = 55 squares.
c.
The formula for adding n positive integers starting at 1 is:
1 + 2 + 3 + ... + n = n(n + 1)/2
For figure 55, n = 55.
n(n + 1)/2 = 55(56)/2 = 1540
d.
Let's use the formula set equal to 190 and solve for n. If n is an integer, then we can.
n(n + 1)/2 = 190
n(n + 1) = 380
We know that 380 = 19 * 20, so n = 19.
Answer: yes
e.
Use the formula above,
S = n(n + 1)/2, where S is the sum.
f.
n(n + 1) = 1478
38 * 39 = 1482
37 * 38 = 1406
Answer:
p=10
Step-by-step explanation:
1.add 7 on each side to cancel -7
2.add 7 and 3 together to get ten
Prob(spinning a number < 3on 1 spin) = Prob( spinning 1 or 2) = 2/5
Prob( spinning <3 3 times) = 2/5 * 2/5 * 2/5 = 8/125
These events are independent so we multiply the probabilities.
