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3 years ago

Derivation of f(x) = x^4 - 8x^2 + 3

Mathematics

1 answer:

weeeeeb [17]3 years ago

7 0

The answer is F(0)=-3

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If the probability of an event happening is 0.45.

AlladinOne [14]

A.) 0.55
This is because the probability has to com out to 1 (technically 100%) so, 1-0.45 is 0.55 (these could all be percentages if you multiply them by 100)

4 0

2 years ago

If you draw a card with a value of 4 or less from a standard deck of cards, I will pay you 165$ if not your pay me $45. (Aces ar

jekas [21]

Answer: The required expected value is $3.46.

Step-by-step explanation:

Since we have given that

Number of value of 4 or less are

2,3,4

So, there are 12 in numbers.

So, probability would be

$\dfrac{12}{52}$

Since Aces are considered as the highest card in the deck.

So, remaining probability would be

$\dfrac{40}{12}$

Amount paid or value of 4 or less = $165

Amount not paid for other case = $45

So, the expected value would be

$\dfrac{12}{52}\times 165-\dfrac{40}{52}\times 45\\\\=\dfrac{1980}{52}-\dfrac{1800}{52}\\\\=\dfrac{180}{52}\\\\=3.46$

Hence, the required expected value is $3.46.

7 0

3 years ago

phyllis invested 66000 dollars, a portion earning simple interest rate of 5% per year and the rest earning a rate of 7% per year

Lelechka [254]

<u>Answer: </u>

Physliis invested 32000 dollar at 5% interest rate and 34000 dollar at 7% interest rate.

<u>Solution:</u>

Let Phyllis invest ‘x’ dollar at 5% per year and (66000-x) dollar at 7% per year.

We know,

$\text { Simple interest }=\frac{\text {Principal} \times r a t e \times T i m e}{100}$

In the question it is given that Simple interest earned from both the investments at the end of the year is $3980.

Using the given below equation, we will try to find out the investments at each rate.

$\begin{array}{l}{\frac{x \times 5 \times 1}{100}+\frac{(66000-x) \times 7 \times 1}{100}=3980} \\\\ {\frac{5 x}{100}+\frac{462000-7 x}{100}=3980} \\\\ {\frac{5 x+462000-7 x}{100}=3980} \\\\ {-2 \mathrm{x}+462000=3980 \times 100} \\\\ {-2 \mathrm{x}=398000-462000} \\\\ {-2 \mathrm{x}=-64000} \\\\ {\mathrm{x}=\frac{-64000}{-2}}\end{array}$

x = 32000

We can calculate amount for 7% interest rate by,

(66000-32000) =34000

Thus Phyllis invested 32000 dollar at 5% interest rate and 34000 dollar at 7% interest rate.

8 0

3 years ago

Use the given values of n and p to find the minimum usual value μ − 2σ and the

aivan3 [116]

The answer to this question is 39.28; 65.12

7 0

2 years ago

What is the slope of a line that contains the points(-13,8) and (-2,-1)

anygoal [31]

Answer:

slope = -(9/11)

Step-by-step explanation:

$slope=\frac{-1-8}{-2-(-13)} =\frac{-9}{-2+13} =-\frac{9}{11}$

I hope this help you

7 0

2 years ago

Derivation of f(x) = x^4 - 8x^2 + 3​

Derivation of f(x) = x^4 - 8x^2 + 3