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Leokris [45]
2 years ago
15

Christine performed the following experiment 20 times using a book that contains 462 pages.

Mathematics
1 answer:
wel2 years ago
7 0

Using the probability concept, it is found that there is a 0.3 = 30% experimental probability that Christine will randomly choose a page that is divisible by 3.

<h3>What is a probability?</h3>

A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.

In an experimental probability, these number of outcomes are taken from previous trials.

In this problem:

  • The experiment was made 20 times.
  • Of those, in 6 experiments(81, 105, 171, 159, 297, 387) she choose a page that was divisible by 3.

Then:

p = \frac{6}{20} = 0.3

0.3 = 30% experimental probability that Christine will randomly choose a page that is divisible by 3.

You can learn more about the probability concept at brainly.com/question/15536019

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A system of linear equations is given as x + 3y = 36 and 4x + 5y = 9. Which of the following is a possible first step when solvi
Nikitich [7]

Answer:

Rewrite the first equation as x = 36 – 3y.

Step-by-step explanation:

x + 3y = 36 (1)

4x + 5y = 9 (2)

Using substitution method

From (1)

x = 36 - 3y

Substitute x = 36 - 3y into (2)

4x + 5y = 9

4(36 - 3y) + 5y = 9

144 - 12y + 5y = 9

- 12y + 5y = 9 - 144

-7y = -135

y = -135 / -7

y = 19.3

There is an error with the second equation, 4x + 5y can not be equal to 9

Nevertheless, the first step when solving by substitution is:

Rewrite the first equation as

x = 36 – 3y.

4 0
3 years ago
8 6/7 =<br><br> i want it in fraction form and in the smallest form.
Ilia_Sergeevich [38]
The simplified fraction is 62/7
3 0
3 years ago
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The polar coordinates of a point are 3π 4 and 7.00 m. What are its Cartesian coordinates (in m)? (x, y) = 6.06,−3.5 m
Keith_Richards [23]

Answer:

a) \left(x,y\right)=\left(4.95,-4.95\right)

b) r\angle\theta = 7\angle0.5236\,\text{radians}

Step-by-step explanation:

Polar coordinates are represented as: r\angle\theta, where 'r' is the length (or magnitude) of the line, and '\theta' is the angle measured from the positive x-axis.

in our case:

7\angle\dfrac{3\pi}{4}

to covert the polar to cartesian:

x = r\cos{\theta}

y = r\sin{\theta}

we can plug in our values:

x = 7\cos{\dfrac{3\pi}{4}} = -7\dfrac{\sqrt{2}}{2}

y = 7\sin{\dfrac{3\pi}{4}} = 7\dfrac{\sqrt{2}}{2}

the Cartesian coordinates are:

\left(x,y\right)=\left(-7\dfrac{\sqrt{2}}{2},7\dfrac{\sqrt{2}}{2}\right)

\left(x,y\right)=\left(4.95,-4.95\right)

(b) to convert (x,y) = (6.06,-3.5)

we'll use the pythagoras theorem to find 'r'

r^2 = x^2+y^2

r^2 = (6.06)^2+(-3.5)^2

r = \sqrt{48.97} \approx 7

the angle can be found by:

\tan{\theta} = \dfrac{y}{x}

\tan{\theta} = \dfrac{3.5}{6.06}

\theta = \arctan{left(\dfrac{3.5}{6.06}\right)}

\theta = 0.5236 \text{radians}

to convert radians to degrees:

\theta = 0.5236 \times \dfrac{180}{\pi} \approx 30^\circ

writing in polar coordinates:

r\angle\theta = 7\angle30^\circ\,\,\text{OR}\,\,7\angle0.5236\,\text{radians}

5 0
3 years ago
easch cube inside the rectangle prism has a edge length of 3/4 inch what is the volume of the rectangle prism
vfiekz [6]

Volume = (edge)^3

Volume = (3/4)^3

Volume = (27/64) inches^3

Done.

5 0
3 years ago
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