Answers:
5. x = 1
6. y = 11.5
Step-by-step explanation:
For question 5, you can use power of a point which describes the relationship of two secants intersecting inside a circle. You get the formula:
AC * CD = BC * CE
You can substitute the values you are given to get:
2 * 4 = x * 8
This gives you x = 1
For question 6, you can use another formula in power of a point that describes two secants intersecting in the exterior of a circle. You get the formula:
GH * GJ = GI * GK
Using segment addition postulate, you get:
GJ = GH + HJ = 5 + 16 = 21
GK = GI + IK = 6 + y --> y + 6
Now, substitute into the equation from power of a point:
5 * 21 = 6 * (y + 6)
105 = 6 * (y + 6)
17.5 = y + 6
y = 11.5
You have to consider the sample space. In this example the sample space
is {1,2,3,4,5,6}
A simple event can be defined as a SINGLE outcome : Example getting a 3 OR 5 OR any other number from the sample space.
Now if you roll 1 dice & you want to get an even number (2,4,6) then you have chosen from the sample space 3 outcome & this is a compound event
Equally if you roll 2 dice and want to get "one" and/or "three" this is a compound event since you have chosen 2 outcome from the sample space.
Mind you, if you want 5 And 5 when rolling two dice it's a simple event because you have chosen ONE outcome from the sample space.
Hope this will help you to understand this kind of problem
Answer:
Yes.
Step-by-step explanation:
Ratios also function as fractions.
4/12 = 1/3 = 0.333
5/15 = 1/3 = 0.333
The volume of the cube is (8 x 8 x 8) = 8³ = <em>512 cubic inches</em> (exact)
Answer:
The percentage increase in Tessa's stock is 40%
Step-by-step explanation:
Given that:
Previous worth = $173
Worth now = $242.20
We have to find percentage increase which can be known by subtracting previous worth from present worth and multiplying it by 100:
Percentage increase = $242.20 - $173 = $69.2
Percentage increase = $69.2/173 *100
Percentage increase = 40%
i hope it will help you!