Answer:
a.) -18 x 10^6
Step-by-step explanation:
multiply 9 x-2
add exponents 9 and -3
Answer:
34
Step-by-step explanation:
The mean is calculated as
mean =
let x be the missing frequency, then
Total frequency × midpoint
= (16 × 2) + 7x + (20 × 12) + (10 × 17) = 32 + 7x + 240 + 170 = 442 + 7x
Total frequency = 16 + x + 20 + 10 = 46 + x, thus
= 8.5 ( cross- multiply )
442 + 7x = 8.5(46 + x)
442 + 7x = 391 + 8.5x ( subtract 8.5x from both sides )
442 - 1.5x = 391 ( subtract 442 from both sides )
- 1.5x = - 51 ( divide both sides by - 1.5 )
x = 34
The missing frequency is 34
Answer:
The conclusion is invalid.
The required diagram is shown below:
Step-by-step explanation:
Consider the provided statement.
Great tennis players use Hexrackets. Therefore, if you use a Hexracket, you are a great tennis player.
From the above statement we can concluded that Great tennis players use Hexrackets. But it may be possible that some people who use a haxracket are not great tennis player.
Therefore, the conclusion is invalid.
The required diagram is shown below:
Answer:
c = 24.34
Step-by-step explanation:
Here, we can use the cosine rule
Generally, we have this as:
a^2 = b^2 + c^2 - 2bcCos A
12^2 = 14^2 + c^2 - 2(14)Cos 19
144 = 196 + c^2 - 26.5c
c^2 - 26.5c + 196-144 = 0
c^2 - 26.5c + 52 = 0
We can use the quadratic formula here
and that is;
{-(-26.5) ± √(-26.5)^2 -4(1)(52)}/2
(26.5 + 22.23)/2 or (26.5 - 22.23)/2
24.37 or 2.135
By approximation c = 24.34 will be correct
Answer:
$1.81
Step-by-step explanation:
10 - 8.19 = 1.81