Answer:
4
Step-by-step explanation:
Answer:
c = 22
Step-by-step explanation:
x^2 + c = 103 so if x is either + or - 9, x^2 = 81 so...
81 + c = 103
c = 22
84o students would be expected to play outdoor games for at least three hours every week.
The sample showed that 70% students played outdoor games for at least three hours every week. 70% of 1,200 is 840.
Answer:
We are effectively looking for a and b such that 5, a, b, 135 is a geometric sequence.
This sequence has common ratio <span><span>3<span>√<span>1355</span></span></span>=3</span>, hence <span>a=15</span> and <span>b=45</span>
Explanation:
In a geometric sequence, each intermediate term is the geometric mean of the term before it and the term after it.
So we want to find a and b such that 5, a, b, 135 is a geometric sequence.
If the common ratio is r then:
<span><span>a=5r</span><span>b=ar=5<span>r2</span></span><span>135=br=5<span>r3</span></span></span>
Hence <span><span>r3</span>=<span>1355</span>=27</span>, so <span>r=<span>3<span>√27</span></span>=3</span>
Then <span>a=5r=15</span> and <span>b=ar=15⋅3=45</span>
