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3 years ago

Please answer my question as quick a you can

Mathematics

1 answer:

rodikova [14]3 years ago

5 0

Option a

Option be is seeming to be irrational but its not

How?

$\\ \sf\longmapsto \dfrac{\sqrt{100}}{3}$

$\\ \sf\longmapsto \dfrac{10}{3}$

Hence correct option is a

You might be interested in

Which description matches the transformations y=cos x undergoes to produce y=-2cos3x?

mrs_skeptik [129]

Answer:

horizontal compression by factor 3, vertical stretch by factor 2, then reflection across the x-axis ⇒ answer A

Step-by-step explanation:

* Lets revise some transformation

- A vertical stretching is the stretching of the graph away from

the x-axis

# If k > 1, the graph of y = k•f(x) is the graph of f(x) vertically stretched

by multiplying each of its y-coordinates by k.

# If k should be negative, the vertical stretch is followed by a reflection

across the x-axis.

- A horizontal compression is the squeezing of the graph toward

the y-axis.

# If k > 1, the graph of y = f(k•x) is the graph of f(x) horizontally

compressed by dividing each of its x-coordinates by k.

* Lets solve the problem

∵ y = cos x

∵ y = -2 cos 3x

- At first cos x multiplied by -2

∵ y multiplied by -2

∵ 2 > 1

∴ y = cos x is stretched vertically by factor 2

∵ The factor 2 is negative

∴ y = cos x reflected across the x-axis

∴ The function y = cos x stretched vertically with factor 2 and then

reflected across the x-axis ⇒ (1)

∵ cos x changed to cos 3x

∵ x multiplied by 3

∵ 3 > 1

∴ y = cos x compressed horizontally by factor 3

∴ The function y = cos x compressed horizontally by factor 3 ⇒ (2)

- From (1) and (2)

* The function y = cos x has horizontal compression by factor 3,

vertical stretch by factor 2, then reflection across the x-axis to

produce y = -2 cos 3x

5 0

3 years ago

You are to take a multiple-choice exam consisting of 64 questions with 5 possible responses to each question. Suppose that you h

stepan [7]

Answer:

(a) The expected score is 12.8

(b) The standard deviation is 3.2 and variance is 10.24

Step-by-step explanation:

Consider the provided information.

You are to take a multiple-choice exam consisting of 64 questions with 5 possible responses to each question.

Here n=64 p=1/5 and q=1-1/5=4/5

Part (a) we need to find the expected score on the exam.

Expected = np

Expected score = number of questions × P(right)

$Score = 64 \times \frac{1}{5} = 12.8$

Hence, the expected score is 12.8

Part (b) Compute the variance and standard deviation of x.

Standard Deviation: $\sigma =\sqrt{npq}$

Now calculate the standard deviation as shown:

$\sigma =\sqrt{64\times \frac{1}{5}\times \frac{4}{5}}$

$\sigma =\sqrt{\frac{256}{25}}$

$\sigma =\frac{16}{5}=3.2$

Variance: $\sigma^2 =npq$

$\sigma^2 =64\times \frac{1}{5}\times \frac{4}{5}$

$\sigma^2 =\frac{256}{25}$

$\sigma^2 =10.24$

Hence, the standard deviation is 3.2 and variance is 10.24

5 0

3 years ago

Solve the system of equations below pleasee

sergeinik [125]

Answer:

C. (-7,-2)

Step-by-step explanation:

hope this helps

6 0

4 years ago

A pair of angles whose sum is 90 degrees are called:

inysia [295]

Hello!

A pair of angles whose sum is 90° are called Complementary Angles. The answer is Complementary because Complementary Angles are angles that make a sum of 90°. Supplementary Angle are angles whose sum is 180° and Adjacent Angles are angles that have a common side or common vertex.

I hope this helps!

6 0

3 years ago

Read 2 more answers

Emily and Lars went scuba diving in the ocean together. Emily dove to a depth of -95 feet, while Lars dove

chubhunter [2.5K]

Answer:

Emily

Step-by-step explanation:

The lower the number is the lower it is

Its just like temperature

Please MARK BRAINLIEST

3 0

3 years ago

Read 2 more answers