Probability that the 7th grader is a boy = number of boys / total kids = 5 / (5+5) = 5/10 or 1/2Probability that the 8th grader is a boy = number of boys / total kids = 3 / (5+3) = 3/8Probability that both are boys is calculated by multiplying both of the answers above: ½ * 3/8 = 3/16 or 0.1875

6 0

4 years ago

Over which interval is the graph of f(x) = –x2 + 3x + 8 increasing? (–∞, 1.5) (–∞, 10.25) (1.5, ∞) (10.25, ∞)

Vadim26 [7]

F(x) = -x^2 + 3x + 8
f'(x) = -2x + 3

when f(x) is increasing f'(x) > 0

-2x + 3 > 0

-2x > -3

x < 3/2 or 1.5

So the required interval is (-infinity,1.5).The first choice.

6 0

3 years ago

Read 2 more answers

Another question I need help with. I've got the part where it says to rewrite as a radical expression on my paper, but I'm havin

Alik [6]

$\bf a^{\frac{ n}{ m}} \implies \sqrt[ m]{a^ n} 
\qquad \qquad
\sqrt[ m]{a^ n}\implies a^{\frac{ n}{ m}}\\\\
-------------------------------\\\\
32^{\frac{3}{5}}\implies \sqrt[5]{32^3}\qquad 
\begin{cases}
32=2\cdot 2\cdot 2\cdot 2\cdot 2\\
\qquad 2^5
\end{cases}\implies \sqrt[5]{(2^5)^3}\implies \sqrt[5]{(2^3)^5}
\\\\\\
2^3\implies 8$

4 0

4 years ago