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2 years ago

Suppose that F(x)=x^3 and G(x)=-5x^3. Which statement best compares the graph of G(x) with the graph of F(x)?

Mathematics

2 answers:

aev [14]2 years ago

7 0

Answer:

Multiplying the x^3 term by 4 means you're stretching it vertically, adding the minus sign means you're flipping it about the x-axis, and subtracting 5 means you're moving it down by 5 units.

Step-by-step explanation:

Vlad1618 [11]2 years ago

6 0

Answer: The graph of G(x) is the graph of F(x) stretched vertically, flipped over the x-axis, and shifted 2 units up

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2 years ago

10.5% of the population is 65 or older. Find the probability that the following number of persons selected at random from 25 peo

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Given:

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$\begin{gathered} n=25,p=0.105 \\ X\rightarrow B(n=25,p=0.105) \end{gathered}$

To find the probability that at most 2 are 65 or older,

$\begin{gathered} P(X=x)=^nC_x(p)^x(1-p)^{n-x} \\ P(0\leq X\leq2)=P(X=0)+P(X=1)+P(X=2) \\ =^{25}C_0(0.105)^0(1-0.105)^{25-0}+^{25}C_1(0.105)^1(1-0.105)^{25-1}+^{25}C_2(0.105)^2(1-0.105)^{25-2} \\ =0.0625+0.1832+0.2579 \\ =0.5036 \\ \approx0.504 \end{gathered}$

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