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Umnica [9.8K]
2 years ago
7

The only soft-drink flavours available at a party were cola and

Mathematics
1 answer:
vredina [299]2 years ago
3 0

The number of guests that were at the party is 26. This was illustrated in the probability.

<h3>How to compute the probability?</h3>

From the information, it was stated that twenty six soft-drinks were consumed. Therefore, it implies that there were 26 people.

From the information, 9 guests had raspberry and 13 had cola while the remaining was shared equally. Therefore, the raspberry consumed will be 11 and 15 cola were drank.

The probability that a randomly chosen party guest had a cola drink will be:

= 15/26

The probability that a randomly chosen party guest had a raspberry drink will be:

= 11/26

The probability of the people who had both a raspberry and cola drink will be 0 since everyone had different drinks.

Learn more about probability on:

brainly.com/question/24756209

#SPJ1

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Marrrta [24]

Answer:

Since pair of opposite sides are parallel and adjacent sides meets at right angles, the quadrilateral COAT is a rectangle.

Step-by-step explanation:

The vertices of the given quadrilateral is C(2,0),O(7,0),A(7,2),T(2,2)

It is sufficient to show that pair of opposite sides are parallel and adjacent sides are perpendicular.

The slope of each side can be found using the formula;


m=\frac{y_2-y_1}{x_2-x_1}


Slope of CO,

M_{CO}=\frac{0-0}{7-2}=\frac{0}{5} =0

A line with a zero slope is a horizontal line.


The slope of OA,

M_{OA}=\frac{2-0}{7-7} =\frac{2}{0}

This slope is undefined.

A line with an undefined slope is a vertical line.

This shows that,the side CO and OA of the quadrilateral meets at right angle.


The slope of AT,

M_{AT}=\frac{2-2}{7-0}=\frac{0}{5}=0


This is also a horizontal line.

The slope of TC,


M_{TC}=\frac{2-0}{2-2} =\frac{2}{0}


This also a vertical line.


This implies that, side TC and side AT meets at Tat right angles and TC is parallel to OA.

Also AT is parallel to TO.


This shows that COAT is a rectangle.

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