234.00 cm3
526.50 cm3
166.00 cm3
687cm3
Correct answer is A
Let x represent total vol. 2 : 3 = 2 + 3 = 5
\(\frac{3}{5}\)x = 351
x = \(\frac{351 \times 5}{3}\)
= 585
Volume of smaller block = \(\frac{2}{5}\) x 585
= 234.00cm\(^3\)
If two fair coins are tossed, what is the probability of getting at least one head?
\(\frac{1}{4}\)
\(\frac{1}{2}\)
1
\(\frac{43}{78}\)
\(\frac{3}{4}\)
Correct answer is E
Prob. of getting at least one head
Prob. of getting one head + prob. of getting 2 heads
= \(\frac{1}{4}\) + \(\frac{2}{4}\)
= \(\frac{3}{4}\)
\(\sqrt{2}\)
\(\frac{1}{2}\)
22
1
2 - 1
Correct answer is A
45o = \(\frac{x}{2}\), Since 45o = \(\frac{1}{\sqrt{2}}\)
x = 2 x \(\frac{1}{\sqrt{2}}\)
= \(\frac{2\sqrt{2}}{2}\)
= \(\sqrt{2}\)
(1.75, 5)
(1.75, 2)
(1.75, 1)
(65, 74)
Correct answer is B
\(\begin{array}{c|c}x & f & fx\\ \hline 0 & 3 & 0\\ 1 & 5 & 5\\ 2 & 7 & 14\\ 3 & 4 & 12\\4 & 1 & 4\\5 & 0 & 0\end{array}\)
\(\sum{f}\) = 20
\(\sum fx\) = 35
Mean = \(\frac{\sum fx}{\sum f}\)
= \(\frac{35}{20}\)
= \(\frac{7}{4}\)
= 1.75
Mode = 2
= 1.75, 2
-32
-14
40
22
37
Correct answer is C
When x = -3, y = 4 - 3(3) - (-3)3
= 4 + 9 + 27
= 13 + 27
= 40