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2 years ago

7

Jackson is playing a game of chance where he must randomly draw a marble out of a jar. He calculates the probability of drawing

a red marble to be . What is the probability of not drawing a red marble?

1 answer:

Sindrei [870]2 years ago

8 0

Using complementary events, considering a $\frac{1}{4}$ probability of drawing a red marble, the probability of not drawing a red marble is of $\frac{3}{4}$ .

<h3>What are complementary events?</h3>

They are mutually exclusive events which have the sum of their probabilities as 1.

In this problem, we consider that there is a $\frac{1}{4}$ probability of drawing a red marble, and since drawing a red marble and drawing a non-red marble are complementary events, we have that:

$\frac{1}{4} + p = 1$

$p = \frac{3}{4}$

The probability of not drawing a red marble is of $\frac{3}{4}$ .

More can be learned about complementary events at brainly.com/question/9752956

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Trapezoids and kites

lisov135 [29]

QUESTION 3

The sum of the interior angles of a kite is $360\degree$ .

$\Rightarrow 36\degree +70\degree+m$ .

$\Rightarrow 106\degree+m$ .

$\Rightarrow m$ .

$\Rightarrow m$ .

But the two remaining opposite angles of the kite are congruent.

$\Rightarrow m$

$\Rightarrow m$ .

$\Rightarrow 2m$ .

$\Rightarrow m$ .

$\Rightarrow m$ .

QUESTION 4

RH is the hypotenuse of the right triangle formed by the triangle with side lengths, RH,12, and 20.

Using the Pythagoras Theorem, we obtain;

$|RH|^2=12^2+20^2$

$|RH|^2=144+400$

$|RH|^2=544$

$|RH|=\sqrt{544}$

$|RH|=4\sqrt{34}$

QUESTION 5

The given figure is an isosceles trapezium.

The base angles of an isosceles trapezium are equal.

Therefore $m$

QUESTION 6

The measure of angle Y and Z are supplementary angles.

The two angles form a pair of co-interior angles of the trapezium.

This implies that;

$m$

$\Rightarrow m$

$\Rightarrow m$

QUESTION 7

The sum of the interior angles of a kite is $360\degree$ .

$\Rightarrow 48\degree +110\degree+m$ .

$\Rightarrow 158\degree+m$ .

$\Rightarrow m$ .

$\Rightarrow m$ .

But the two remaining opposite angles are congruent.

$\Rightarrow m$

$\Rightarrow m$ .

$\Rightarrow 2m$ .

$\Rightarrow m$ .

$\Rightarrow m$ .

QUESTION 8

The diagonals of the kite meet at right angles.

The length of BC can also be found using Pythagoras Theorem;

$|BC|^2=4^2+7^2$

$\Rightarrow |BC|^2=16+49$

$\Rightarrow |BC|^2=65$

$\Rightarrow |BC|=\sqrt{65}$

QUESTION 9.

The sum of the interior angles of a trapezium is $360\degree$ .

$\Rightarrow m$ .

$\Rightarrow m$ .

But the measure of angle M and K are congruent.

$\Rightarrow m$ .

$\Rightarrow m$ .

$\Rightarrow m$ .

$\Rightarrow m$ .

6 0

3 years ago

Two positive integers have a product of 176. One integer is 5 less than the other integer. Which equation can be used to find th

faust18 [17]

$xy=176$
$y=x-5$

$\implies x(x-5)=176\implies x^2-5x-176=(x+11)(x-16)=0$
$\implies x=-11, x=16$

Since $x>0$ , we take $x=16$ , which means $y=16-5=11$ .

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3 years ago

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Eric and Carly each made a bowl of punch. Carly used 5 times as much lemonade as Eric did. If Eric used 1/4 of a

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Answer:

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Step-by-step explanation:

I think that is simplified

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Answer:

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