Solve for x if \(25^{x} + 3(5^{x}) = 4\)
1 or -4
0
1
-4 or 0
Correct answer is B
\(25^{x} + 3(5^{x}) = 4\)
Let \(5^{x}\) = y.
\((5^{2})^{x} + 3(5^{x}) - 4 = 0\)
\(y^{2} + 3y - 4 = 0\)
\(y^{2} - y + 4y - 4 = 0\)
\(y(y - 1) + 4(y - 1) = 0\)
\((y + 4)(y - 1) = 0\)
\(y = -4 ; y = 1\)
y = -4 is not possible.
y = 1 \(\implies\) x = 0.
\(\frac{5}{3}\)
\(\frac{1}{9}\)
\(\frac{4}{9}\)
\(\frac{1}{36}\)
Correct answer is C
\(\begin{array}{c|c} & W & W & W & W & B & B \\ \hline W & WW & WW & WW & WW & WB & WB \\ W & WW & WW & WW & WW & WB & WB\\W & WW & WW & WW & WW & WB & WB\\ W & WW & WW & WW & WW & WB & WB\\ B & BW & BW & BW & BW & BB & BB \\ B & BW & BW & BW & BW & BB & BB\end{array}\)
P(WW) = \(\frac{16}{36}\)
= \(\frac{4}{9}\)
\(\frac{7}{3}\)
\(\frac{2}{3}\)
\(\frac{1}{3}\)
\(\frac{3}{10}\)
Correct answer is D
No explanation has been provided for this answer.
4.0
3.4
3.2
3.0
Correct answer is B
Median = \(\frac{a + b}{fm}\) (\(\frac{1}{2} \sum f - CF_b\))
= 2.95 + \(\frac{0.5}{15}\)(2.-7)
= 2.95 + \(\frac{0.5}{15}\) x 13
= 2.95 + 0. 43
= 3.38
= 3.4
3.2
3.3
3.7
4.2
Correct answer is B
Mode = a + (b - a)(fm - Fb)
2Fm - Fa - Fb
= 3.0 + \(\frac{(3.4 - 3)(15 - 4)}{2(15) - 4 - 10}\)
= 3 + \(\frac{(6.4)(11)}{30 - 14}\)
= 3 + \(\frac{4.4}{16}\)
= 3 + 0.275
= 3.275
= 3.3cm