Answer:
D
Step-by-step explanation:
General Equation: y = mx + b
You need two pieces of data to solve this.
When x = 1, y = 8
8 = 1x + b
When x = -1, y = 3
3 = - x + b
==================
8 = x + b
3 = -x + b If we add we get b so let's add.
11 =2b Divide by 2
11/2 = b
==================
y = mx + b
y = mx + 11/2 Now we can solve for m
3 = -m + 11/2 Subtract 11/2
3 - 11/2 = - m
- 2 1/2 = -m multiply by - 1
2 1/2 = m
m = 5/2
The answer is D
Probably 6
I may be wrong but try it
The probability that a person wins the game is 32.1%
<h3>How to illustrate the probability?</h3>
Based on the information given, the following can be depicted. It should be noted that there are 6 sides as well as 4 cards.
Therefore, the numbers on the dice i.e from 1 - 6 will be represented 4 times each. This gives a total of (4 × 6) = 24. There are also 4 cards. The total in sample space will now be:
= 24 + 4 = 28
The frequency table will be such that 28 or more has a relative frequency of 9. Therefore, the probability that a person wins the game will be:
= 9/28 = 32.1%
When you win 25% of the time, this illustrates that the number of products picked will be:
= 25% × 28
= 7 products.
The probability of participants achieving a winning score of 36 or higher in four consecutive attempts will be:
= 1/6⁴
= 1/1296
Learn more about probability on:
brainly.com/question/24756209
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Angles ∠MOK and ∠NOL are identical by opposite angle theorem.
∠M = ∠N through given information
∠MKO and ∠NLO are congruent. Since the other two angles of each triangle are equivalent, the last angle must be equivalent to the last angle of the other triangle. (180 - ∠1 -∠2 = ∠3); you could also prove ∠MKO = ∠NLO by stating that the opposite sides of the two angles are congruent.
ΔMKO and ΔNLO by Angle-Angle-Side theorem
since ΔMKO and ΔNLO, all corresponding parts of both triangles are congruent, so therefore MO ≅ NO