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2 years ago

Please help this is due today

Mathematics

2 answers:

Masja [62]2 years ago

6 0

Answer:

Step-by-step explanation:

OverLord2011 [107]2 years ago

4 0

Answer:

Explanation:

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A pathologist has been studying the frequency of bacterial colonies within the field of a microscope using samples of throat cul

nata0808 [166]

Answer:

P(0) = 0.055

P(1) = 0.16

P(2) = 0.231

P(3) = 0.224

P(4) = 0.162

P(5 or more) = 0.168

Step-by-step explanation:

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.

Here λ = 2.90 is the average number of bacteria colonies per field.

This means that $\mu = 2.90$

Compute P(r) for r = 0, 1, 2, 3, 4, and 5 or more.

$P(0) = \frac{e^{-2.9}*(2.9)^{0}}{(0)!} = 0.055$

$P(1) = \frac{e^{-2.9}*(2.9)^{1}}{(1)!} = 0.16$

$P(2) = \frac{e^{-2.9}*(2.9)^{2}}{(2)!} = 0.231$

$P(3) = \frac{e^{-2.9}*(2.9)^{3}}{(3)!} = 0.224$

$P(4) = \frac{e^{-2.9}*(2.9)^{4}}{(4)!} = 0.162$

5 or more:

This is

$P(X \geq 5) - 1 - P(X < 5)$

In which:

$P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.055 + 0.16 + 0.231 + 0.224 + 0.162 = 0.832$

$P(X \geq 5) - 1 - P(X < 5) = 1 - 0.832 = 0.168$

P(5 or more) = 0.168

7 0

3 years ago

Why is 43 an odd number

SOVA2 [1]

Because it cannot be split in half to make a whole number, instead, it would make a number and a half.

6 0

3 years ago

Read 2 more answers

C) Hence solve (1+2x)³+(1-2x)³=8

faust18 [17]

Answer:

$x = \frac{1}{2}$

Step-by-step explanation:

Apply Sum of Cubes

$(1 + 2x) {}^{3} + (1 - 2x) {}^{3} = ((1 + 2x + (1 - 2x)( {(1 + 2x)}^{2} - (1 + 2x)(1 - 2x) + {(1 - 2x)}^{2}$

Simplify

$= (2)((4 {x}^{2} + 4x + 1) -( - 4 {x}^{2} + 1) + ( {4x}^{2} - 4x + 1)$

Simplify

$(2)(12 {x}^{2} + 1) = 8$

$24 {x}^{2} + 2 = 8$

$24 {x}^{2} = 6$

${x}^{2} = \frac{1}{4}$

$x = \frac{1}{2}$

6 0

3 years ago

what is the slope of the line that passes through the points (4,10) and (1,10) write your answer in simplest form

kipiarov [429]

Answer:

all work is shown and pictured

8 0

3 years ago

X2 + y2 - 6x + 4y - 12 =0

VladimirAG [237]

Answer:

y = sqrt(-x^2 + 6 x + 16) - 2 or y = -sqrt(-x^2 + 6 x + 16) - 2

Step-by-step explanation:

Solve for y:

-12 - 6 x + x^2 + 4 y + y^2 = 0

Subtract x^2 - 6 x - 12 from both sides:

y^2 + 4 y = -x^2 + 6 x + 12

Add 4 to both sides:

y^2 + 4 y + 4 = -x^2 + 6 x + 16

Write the left hand side as a square:

(y + 2)^2 = -x^2 + 6 x + 16

Take the square root of both sides:

y + 2 = sqrt(-x^2 + 6 x + 16) or y + 2 = -sqrt(-x^2 + 6 x + 16)

Subtract 2 from both sides:

y = sqrt(-x^2 + 6 x + 16) - 2 or y + 2 = -sqrt(-x^2 + 6 x + 16)

Subtract 2 from both sides:

Answer: y = sqrt(-x^2 + 6 x + 16) - 2 or y = -sqrt(-x^2 + 6 x + 16) - 2

4 0

4 years ago