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3 years ago

Simplify the following proper fraction by reducing to lowest terms. 2/18

Mathematics

2 answers:

Damm [24]3 years ago

4 0

Answer:1/9

Step-by-step explanation: divide both sides of the fraction by 2

Gnoma [55]3 years ago

3 0

Answer:

1/9

both divide by 2 then 2/2=1 and 18/2=9 so that the answer will be 1/9

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What type of angle is formed by a clocks hands when it's 3:00

alekssr [168]

It is supposed to be right angle(90 degree)

8 0

3 years ago

Event v occurs 28% of the time on Tuesdays.

vampirchik [111]

Answer:

68%

Step-by-step explanation:

Probability of occurrence of Event v = P(v) = 28% = 0.28

Probability of occurrence of both Events v and Event w together = P(v and w) = 19% = 0.19

We have to find what is the probability that event w occurs with event v given that event v occurs on a Tuesday. This is a conditional probability. In other words we have to find what is the probability of event w given that event v occurs of Tuesday. i.e we have to find P(w|v)

The formula to calculate this conditional probability is:

$P(w|v) = \frac{P(v \cap w)}{P(v)}$

Using the given values, we get:

$P(w|v) = \frac{0.19}{0.28}\\\\ P(w|v) = 0.68\\\\ P(w|v) = 68\%$

Therefore, the probability that even w will occur with event v given that event v occurs on Tuesday is 68%

7 0

3 years ago

a polygon has two interior angles of 120 degree each and the others are 150 degree each calculate the number of sides and the su

trapecia [35]

Answer:

10 sides
angles total 1440°

Step-by-step explanation:

The formula for the total of interior angles can be used together with the given angle values to write an equation for the number of sides.

<h3>Setup</h3>

The total of interior angles of an n-sided polygon is 180°×(n -2). In the given n-sided polygon, two angles are 120° and (n -2) angles are 150°. The total of angles is the same either way it is computed:

2×120 +(n -2)150 = (n -2)180

<h3>Solution</h3>

Subtracting (n-2)150, we have ...

240 = 30(n -2)

8 = n -2 . . . . . . . . divide by 30

10 = n . . . . . . . . add 2

The polygon has 10 sides.

The total of interior angles is ...

angle sum = 180°×(10 -2) = 1440°

The sum of interior angles is 1440°.

4 0

2 years ago