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3 years ago

Is g(x) = x(x - 4)[x-i(Square root of 7)][x+i(Square root of 7)] the factored form of f(x) = x^4+4x^3+7x^2+28x

Mathematics

1 answer:

erastova [34]3 years ago

6 0

Answer:

No.

It's x^4 - 4x^3 + 7x^2 - 28x.

Step-by-step explanation:

(x - √7 i)(x +√7i)

= x^2 + √7x i - √7x i - 7 i^2

= x^2 - 7 * -1

= x^2 + 7

g(x) = x(x - 4)(x^2 + 7)

= x(x^3 + 7x - 4x^2 - 28)

= x^4 - 4x^3 + 7x^2 - 28x.

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Grasshoppers are distributed at random in a large field according to a Poisson process with parameter a 5 2 per square yard. How

HACTEHA [7]

In this question, the Poisson distribution is used.

Poisson distribution:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given interval.

Parameter of 5.2 per square yard:

This means that $\mu = 5.2r$ , in which r is the radius.

How large should the radius R of a circular sampling region be taken so that the probability of finding at least one in the region equals 0.99?

We want:

$P(X \geq 1) = 1 - P(X = 0) = 0.99$

Thus:

$P(X = 0) = 1 - 0.99 = 0.01$

We have that:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 0) = \frac{e^{-5.2r}*(5.2r)^{0}}{(0)!} = e^{-5.2r}$

Then

$e^{-5.2r} = 0.01$

$\ln{e^{-5.2r}} = \ln{0.01}$

$-5.2r = \ln{0.01}$

$r = -\frac{\ln{0.01}}{5.2}$

$r = 0.89$

Thus, the radius should be of at least 0.89.

Another example of a Poisson distribution is found at brainly.com/question/24098004

3 0

3 years ago

Choose Yes or No to indicate whether the statement is correct.

Savatey [412]

Answer:

3rd one is no. the others are all yes

4 0

3 years ago

Read 2 more answers

F(x)=−7x−1 f(____)= -8

djyliett [7]

-8 = -7x-1
bring -1 to the other side as we are isolating for x so it will be
-7 = -7x then divide -7 from each side
-7/-7 = (-7/-7)x
1 = x

Answer is f(1)= -8

7 0

4 years ago

I NEED HELP ASAP!!!!!!! A. m= -2 B. m= -1/2 C. m= 2 D. m= 1/2

LenaWriter [7]

Answer:

A. m = -2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Slope Formula: $\displaystyle m=\frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (0, 0)

Point (1, -2)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute in points [SF]: $\displaystyle m=\frac{-2-0}{1-0}$
[Fraction] Subtract: $\displaystyle m=\frac{-2}{1}$
[Fraction] Divide: $\displaystyle m=-2$

6 0

3 years ago

A survey of an urban university (population of 25,450) showed that 870 of 1,100 students sampled supported a fee increase to fun

Katen [24]

Answer:

95% confidence interval for the proportion of students supporting the fee increase is [0.767, 0.815]. Option C

Step-by-step explanation:

The confidence interval for a proportion is given as [p +/- margin of error (E)]

p is sample proportion = 870/1,100 = 0.791

n is sample size = 1,100

confidence level (C) = 95% = 0.95

significance level = 1 - C = 1 - 0.95 = 0.05 = 5%

critical value (z) at 5% significance level is 1.96.

E = z × sqrt[p(1-p) ÷ n] = 1.96 × sqrt[0.791(1-0.791) ÷ 1,100] = 1.96 × 0.0123 = 0.024

Lower limit of proportion = p - E = 0.791 - 0.024 = 0.767

Upper limit of proportion = p + E = 0.791 + 0.024 = 0.815

95% confidence interval for the proportion of students supporting the fee increase is between a lower limit of 0.767 and an upper limit of 0.815.

5 0

3 years ago