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3 years ago

What is probability? i know its just that i don't quite understand it.

1 answer:

5 0

Probability is the extent to which an event is likely to occur. It is the likelihood of sth to happen.
In maths it is measured by the ratio of the favourable cases to the whole number of cases possible.

For instance
there are 5 black balls and 2 white balls of same shape and size.
If you picked one out of a bag it is more likely for you to pick a black one rather than a white one as it has more in number.
So black balls have more probability.

And to find out probability of this above given event,

Sample space n(S) = 5+2 = 7
No. Of black balls n(B) = 5
No. Of white balls n(W) = 2

Probability of black ball p(B) = n(B)/n(S)
=5/7

And in the same way, p(W) = 2/7

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Question:

aivan3 [116]

Answer:

part A) The scale factor of the sides (small to large) is 1/2

part B) Te ratio of the areas (small to large) is 1/4

part C) see the explanation

Step-by-step explanation:

Part A) Determine the scale factor of the sides (small to large).

we know that

The dilation is a non rigid transformation that produce similar figures

If two figures are similar, then the ratio of its corresponding sides is proportional

Let

z ----> the scale factor

$\frac{CB}{C'B'}=\frac{CD}{C'D'}=\frac{BD}{B'D'}$

The scale factor is equal to

$z=\frac{CB}{C'B'}$

substitute

$z=\frac{4}{8}$

simplify

$z=\frac{1}{2}$

Part B) What is the ratio of the areas (small to large)?

<em>Area of the small triangle</em>

$A=\frac{1}{2}(2)(4)=4\ units^2$

<em>Area of the large triangle</em>

$A=\frac{1}{2}(4)(8)=16\ units^2$

ratio of the areas (small to large)

$ratio=\frac{4}{16}=\frac{1}{4}$

Part C) Write a generalization about the ratio of the sides and the ratio of the areas of similar figures

In similar figures the ratio of its corresponding sides is proportional and this ratio is called the scale factor

In similar figures the ratio of its areas is equal to the scale factor squared

4 0

3 years ago

Solve for x I need help on this question

AlexFokin [52]

Answer:

$x\approx7.8$

Step-by-step explanation:

In relation to the given angle, we are given the triangle's opposite side and hypotenuse. Therefore, we use the sine function to set up a proportion and solve for the opposite side:

$sin(\theta)=\frac{opposite}{hypotenuse}$

$sin(23^\circ)=\frac{x}{20}$

$20sin(23^\circ)=x$

$x=20sin(23^\circ)$

$x\approx7.8$

Therefore, the length of the opposite side is about 7.8 units

3 0

2 years ago

pamela claims that if you multiply a fraction that is negative by another fraction that is negative, the product will also be ne

svetoff [14.1K]

Pamela is incorrect. When you multiply anything negative by a negative, the product will always be a positive. Because the two negative signs cancel each other out.

5 0

2 years ago

James is 105 pounds. His coach

qaws [65]

You have to do 12 times 4, which equals 48. So 48 pounds in a year. 105 plus 48 would be 153 so that would be his weight by next year

8 0

2 years ago

7. Sharona's age is at most 3 more than twice Kayla's age. If Sharona is 35 years old, which

oee [108]

Answer:

a or b

since 35-3= 32/2 16

Kayla is 16 years old

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2 years ago