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3 years ago

If a fair die is rolled four times, which of the following is closest to the probability that at least one

Mathematics

1 answer:

prohojiy [21]3 years ago

4 0

Answer:

Answer is 67%

Step-by-step explanation:

If you want to get the number four from 4 rolls the chances would be

1st roll = 1/6 (16.667%)

2nd roll = 2/6 (33.333%)

3rd roll = 3/6 (50.000%)

4th roll = 4/6 (66.667%)

So the answer is 67%

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A survey was conducted at a local restaurant about the type of seating preferred by males and females. The results of the survey

Lubov Fominskaja [6]

Answer:

c: 70

Step-by-step explanation:

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3 years ago

How do I find what I need to answer and what to do

BigorU [14]

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4 0

3 years ago

Read 2 more answers

Rewrite the equation in polar form.

ycow [4]

Answer:

C) √5(cos(117°) +i·sin(117°))

Step-by-step explanation:

The rectangular number a+bi can be written in polar form as ...

√(a^2+b^2)×(cos(arctan(b/a)) + i·sin(arctan(b/a)))

Here, we have a=-1, b=2, so the magnitude is ...

√((-1)^2 +2^2) = √(1+4) = √5

and the angle is ...

arctan(2/(-1)) = arctan(-2) ≈ 116.565° . . . . . a 2nd-quadrant angle

Then you have ...

-1 +2i = √5(cos(117°) +i·sin(117°)) . . . . . . customary "polar form"

_____

Comment on the answer

The "polar form" is generally written as ...

(magnitude)·(cos(angle) +i·sin(angle))

You may also see it as ...

(magnitude) cis (angle) . . . . . . . where "cis" is shorthand for "cos + i·sin"

In my engineering courses, we often used the form ...

(magnitude) ∠ (angle)

The form used by my calculator is ...

(magnitude)·e^(i·angle) . . . . . where angle is usually in radians

4 0

3 years ago

A skydiver falls 144 ft in three seconds.how far does the skydiver fall per second

uranmaximum [27]

The skydiver falls 48 ft per second

6 0

4 years ago

Read 2 more answers

Exercise is mixed —some require integration by parts, while others can be integrated by using techniques discussed in the chapte

wlad13 [49]

Answer:

$\frac{2x^{\frac{7}{2}}}{7}+4x+c$

Step-by-step explanation:

We are asked to find the value of the indefinite integral $\int \:x^2\sqrt{x}+4\:dx$ .

Let us solve our given problem applying sum rule as:

$\int \:x^2\sqrt{x}\:dx+\int \:4\:dx$

$\int \:x^2*x^{\frac{1}{2}}\:dx+\int \:4\:dx$

$\int \:x^{\frac{4}{2}}*x^{\frac{1}{2}}\:dx+\int \:4\:dx$

$\int \:x^{\frac{5}{2}}\:dx+\int \:4\:dx$

Now, we will use power rule.

$=\frac{x^{\frac{5}{2}+1}}{\frac{5}{2}+1}}+4x+c$

$=\frac{x^{\frac{7}{2}}}{\frac{7}{2}}+4x+c$

$=\frac{2x^{\frac{7}{2}}}{7}+4x+c$

Therefore, our required integral would be $\frac{2x^{\frac{7}{2}}}{7}+4x+c$ .

7 0

3 years ago