Answer:
a) two
b) S = {Orange, Purple}
c) 50%
d) 50%
Step-by-step explanation:
a)
When a marble is drawn from the jar, there are <u>two</u> possible outcomes. Either the marble will be orange or it will be purple.
b)
A sample space is a set of all possible outcomes of an event. Thus, the sample space in this case will be:
<u>Sample Space = {Orange, Purple}</u>
c)
The probability of an event is given as the number of favorable outcomes divided by the number of total outcomes.
Therefore,
Probability of selecting orange marble = P(Orange) = 1/2
<u>P(Orange) = 0.5 = 50%</u>
d)
Probability of selecting purple marble = P(Orange) = 1/2
<u>P(purple) = 0.5 = 50%</u>
Answer: 11 is the required number that always divides such differences for the following types of numbers.
Step-by-step explanation:
Take any 3 - digit number, say, 325
On reversing its digit it becomes, 523
On subtracting the smaller of the two numbers from the larger,
we can see that 198 is an even number.
take another number say, 629
On reversing its digit, it becomes = 926
On subtracting , we get that

But 297 is not an even number.
But there is one common in both the cases is that both the differences are divisible by 11.
Hence, 11 is the required number that always divides such differences for the following types of numbers.
Answer:
SAS means "Side, Angle, Side"
ASA means "Angle , Side, Angle"
AAS means "Angle, Angle, Side"
HL stangs for "Hypotenuse, Length"
Step-by-step explanation:
SAS is when we have two sides meeting and forming an angle between them.
ASA is when we know two angles and a side between the angles.
AAS is when we know two angles and a side which is not between the angles.
HL means that: two triangles are congruent if the hypotenuse of one triangle is equal to the hypotenuse of the other and if one leg of a triangle is equal to a leg of another triangle.
*Note: The pictures are attached here below.