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3 years ago

Help I’m not sure how to answer this

Mathematics

1 answer:

Drupady [299]3 years ago

8 0

Answer:

option A is the correct choice

Step-by-step explanation:

The trigonometric equation you are using has a general form

y = A* tan w*(x - r)

Where

A is the amplitude of the function

w is the frequency rad/s

r is the phase shift

In your case

A = 2

B = w = 3

r = pi/2

y = 2* tan 3*(x - pi/2)

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Write 36 as a product of its prime factors.

Ostrovityanka [42]

2^2 x 3^2 is the answer to the question

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3 years ago

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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

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3 years ago

Subtract 8 1/5 - 4 2/5 . Simplify the answer and write as a mixed number.

earnstyle [38]

Answer:

$3\frac{4}{5}$

Step-by-step explanation:

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3 years ago

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Can you please help me

Ket [755]

Answer:

The scale factor for the dilation of rectangle ABCD to rectangle MNOP is $\frac{3}{4}$ ⇒ B

Step-by-step explanation:

In similar rectangles, their corresponding dimensions are proportional, which means $\frac{L_{1} }{L_{2}}$ = $\frac{W_{1} }{W_{2}}$ , where L is the length and W is the width

∵ Rectangle ABCD is similar to rectangle MNOP

∴ Their dimensions are proportional

∵ The dimensions of rectangle ABCD are 6 m, 14 m

∴ L $_{1}$ = 14 and W $_{1}$ = 6

∵ The dimensions of rectangle MNOP are 4.5 m, 10.5 m

∴ L $_{2}$ = 10.5 and W $_{2}$ = 4.5

∵ The rectangle MNOP is the image of rectangle ABCD after dilation

→ To find the scale factor of dilation find the ratio between the

corresponding dimensions in the two rectangles (image/pre-image)

∵ $\frac{L_{2} }{L_{1}}$ = $\frac{10.5}{14}$ = $\frac{3}{4}$

∵ $\frac{W_{2} }{W_{1}}$ = $\frac{4.5}{6}$ = $\frac{3}{4}$

∴ The scale factor for the dilation is $\frac{3}{4}$

The scale factor for the dilation of rectangle ABCD to rectangle MNOP is $\frac{3}{4}$

6 0

3 years ago

What is $117 in a ratio of 1:8

Lera25 [3.4K]

If 117 is the one:

117: 936

if 117 is the eight:

1: 14.625

hope this helps

4 0

4 years ago