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2 years ago

Parts of Complex Numbers z=4.1i+85 Re(z)=_ Im(z)=_

1 answer:

3 0

Variable z = a+bi is normally used to represent a complex number.
where a is the real number of z (Re z) while b is the imaginary part of z (im z)
Therefore in this case; z=4.1 i +85, therefore
Re(z) =85
Im(z) = 4.1

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Use the formula F = 1.8C + 32 to convert -10C into Fahrenheit

photoshop1234 [79]

Well since the value of C has been given to you, plug it into the equation.

F = 1.8(10) + 32
F = 18 +32
F = 50

The temperature in Fahrenheit would be 50 degrees.

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2 years ago

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The number of people that enter a drugstore in a given hour is a Poisson random variable with parameter λ = 10. Compute the cond

Nonamiya [84]

Answer:

The probability is 0.2650

Step-by-step explanation:

Let's start assuming that men and women come in at the same rate.

Let's define the following random variables :

X : ''Number of people that enter a drugstore''

M : ''Number of men that enter a drugstore''

W : ''Number of women that enter a drugstore''

The number of people will be the number of men plus the number of women

⇒

X = M + W

We are also assuming that M and W are independent random variables.

X ~ Po (10)

M ~ Po (λ1)

W ~ Po (λ2)

λ1 = λ2 because we assumed that men and women come in at the same rate.

λ1 = λ2 = λ

λ1 + λ2 = λ + λ ⇒ 2λ = 10 ⇒ λ = 5

M ~ Po (5)

W ~ Po (5)

Because X is the sum of two independent Poisson random variables.

We are looking for :

$P(M\leq 3/W=10)=P(M\leq 3)$

Because we assume independence.

$P(M\leq 3)= P(M=0)+P(M=1)+P(M=2)+P(M=3)$

$P(M=m)=\frac{5^{m}}{m!}e^{-5}$ because is a Poisson random variable with λ = 5

$P(M\leq 3)=\frac{5^{0}}{0!}e^{-5}+\frac{5^{1}}{1!}e^{-5}+\frac{5^{2}}{2!}e^{-5}}+\frac{5^{3}}{3!}e^{-5}$

$P(M\leq 3)=e^{-5}+5e^{-5} +(\frac{25}{2})e^{-5} +\frac{125}{6}e^{-5}=0.2650$

$P(M\leq 3)=0.2650$

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2 years ago

The following dot plots shows the number of players injured per game for three different teams. Each dot represents a different

goldenfox [79]

Answer:

you have to put them in order dummy

Step-by-step explanation:

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2 years ago

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The mapping of DEFG to D'E'F'G' is shown. 2 parallelograms have identical side lengths and angle measures. The second parallelog

vodka [1.7K]

Answer:

(A)EF corresponds to E'F'

(C)∠EDG Is-congruent-to ∠E'D'G'

(D)∠DEF Is-congruent-to ∠D'E'F'

(F)The transformation is a rigid transformation.

Step-by-step explanation:

Given:

Parallelogram DEFG is mapped to D'E'F'G'
DEFG and D'E'F'G' have identical side lengths and angle measures.

The following applies:

EF corresponds to E'F'
∠EDG Is-congruent-to ∠E'D'G'
∠DEF Is-congruent-to ∠D'E'F'

Now, a rigid transformation is a transformation of the plane that preserves length. Since the two parallelograms have identical side lengths:

The transformation is a rigid transformation.

Note that a reflection is an isometric transformation. Therefore the statement "The transformation is not isometric" is INCORRECT.

FG and GD are adjacent sides, therefore they may not necessarily be congruent. Thus FG does not corresponds to G'D'

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2 years ago

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Emily takes her friend Darren out to eat for his birthday. She pays a total of $45, which includes a 20% tip. There is no tax. F

pantera1 [17]

Answer

Find the cost of the meals before the tip.

To prove

As given

Emily takes her friend Darren out to eat for his birthday.

She pays a total of $45, which includes a 20% tip.

20% is written in the decimal form

$= \frac{20}{100}$

= 0.20

Cost of the tip = 0.20 × 45

= $ 9

Thus

Cost of the meals before the tip = Cost of the meal with tip - tip cost

= $45 - $9

= $ 36

Therefore the cost of the meals before the tip is $36 .

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Parts of Complex Numbers z=4.1i+85 Re(z)=_____ Im(z)=_____

Parts of Complex Numbers z=4.1i+85 Re(z)=_ Im(z)=_