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Reptile [31]
3 years ago
12

Let f(x) = 3x2 - 6x + 2. Find f(-2)

Mathematics
2 answers:
leva [86]3 years ago
5 0

f(x) = 3x² - 6x + 2

f(- 2) = 3·(-2)² - 6·(-2) + 2

= 3·4 + 12 + 2

= 12 + 12 + 2

= 26

Neporo4naja [7]3 years ago
3 0

Answer:

just put

x =  - 2

f( x) = 3 {x}^{2}  - 6x + 2

f( - 2) = 3 {( - 2)}^{2}  - 6( - 2) + 2

f( - 2) = 3 \times 4 + 6 \times 2 + 2 =12+12+2 \\ f(-2)= 26

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3 years ago
According to a study conducted by the Gallup Organization, the the proportion of Americans who are afraid to fly is 0.10. A rand
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Answer: 0.1457

Step-by-step explanation:

Let p be the population proportion.

Given: The proportion of Americans who are afraid to fly is 0.10.

i.e. p= 0.10

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Sample proportion of Americans who are afraid to fly =\hat{p}=\dfrac{121}{1100}=0.11

We assume that the population is normally distributed

Now, the probability that the sample proportion is more than 0.11:

P(\hat{p}>0.11)=P(\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}>\dfrac{0.11-0.10}{\sqrt{\dfrac{0.10(0.90)}{1100}}})\\\\=P(z>\dfrac{0.01}{0.0090453})\ \ \ [\because z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}} ]\\\\=P(z>1.1055)\\\\=1-P(z\leq1.055)\\\\=1-0.8543=0.1457\ \ \ [\text{using z-table}]

Hence, the probability that the sample proportion is more than 0.11 = 0.1457

3 0
3 years ago
(x+5)(x-5) Multiplying special case polynomials
azamat

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Step-by-step explanation:

(x+5)(x-5)

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