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statuscvo [17]
3 years ago
11

For the polynomial below, find F(0.5). Round your answer to the nearest hundredth.

Mathematics
2 answers:
marissa [1.9K]3 years ago
7 0
\bf f(x)=2x^2-3x+15\qquad f(0.5)\qquad 
\begin{cases}
0.5\iff \frac{1}{2}
\end{cases}
\\\\
\textit{let us use }\frac{1}{2}
\\\\
f\left( \frac{1}{2} \right)=2\left( \frac{1}{2} \right)^2-3\left( \frac{1}{2} \right)+15\to 2\cdot \cfrac{1^2}{2^2}-\cfrac{3}{2}+15\to 2\cdot \cfrac{1}{4}-\cfrac{3}{2}+15
\\\\\\
f\left( \frac{1}{2} \right)=\cfrac{1}{2}-\cfrac{3}{2}+15\to -\cfrac{2}{2}+15\to -1+15\to 14
alexdok [17]3 years ago
6 0
No it is not correct the answer is 14!

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Cheyenne is making a recipe that uses 5 cups of beans and 2 cups of carrots. Which combination below uses the same ratio of bean
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Determine if the following scenario is inductive or deductive reasoning:
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8 0
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What is the value of y in the equation 5x + 2y = 20, when x = 0.3?
Dimas [21]
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5 0
3 years ago
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A box of candy hearts contains 52 hearts, of which 19 are white, 10 are tan, 7 are pink, 3 are purple, 5 are yellow, 2 are orang
laiz [17]

<u>Answer-</u>

a. Probability that  three of the candies are white = 0.29

b. Probability that three are white, 2 are tan, 1 is pink, 1 is yellow, and 2 are green = 0.006

<u>Solution-</u>

There are 19 white candies, out off which we have to choose 3.

The number of ways we can do the same process =

\binom{19}{3} = \frac{19!}{3!16!} = 969

As we have to draw total of 9 candies, after 3 white candies we left with 9-3 = 6, candies. And those 6 candies have to be selected from 52-19 = 33 candies, (as we are drawing candies other than white, so it is subtracted)

And this process can be done in,

\binom{33}{6} = \frac{33!}{6!27!} =1107568

So total number of selection = (969)×(1107568) = 1073233392

Drawing 9 candies out of 52 candies,

\binom{52}{9} = \frac{52!}{9!43!} = 3679075400

∴P(3 white candies) = \frac{1073233392}{3679075400} =0.29



Total number of ways of selecting 3 whites, 2 are tans, 1 is pink, 1 is yellow, and 2 are greens is,

\binom{19}{3} \binom{10}{2} \binom{7}{1} \binom{5}{1} \binom{6}{2}

=(\frac{19!}{3!16!}) (\frac{10!}{2!8!}) (\frac{7!}{1!6}) (\frac{5!}{1!4!}) (\frac{6!}{2!4!})

=(969)(45)(7)(5)(15)=22892625

Total number of selection = 3 whites + 2 are tans + 1 is pink + 1 is yellow + 2 greens = 9 candies out of 52 candies is,

\binom{52}{9}=\frac{52!}{9!43!} =3679075400

∴ P( 3 whites, 2 are tans, 1 is pink, 1 is yellow, 2 greens) =

\frac{22892625}{3679075400} = 0.006


6 0
4 years ago
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