Answer:
A) AAS
Step-by-step explanation:
The two pairs of angles are given and they also share a side, meaning that side is congruent to itself, so they are congruent because of Angle Angle Side (AAS)
Let x be Jake's number of sold tickets. Sara's number is half as Jake's, so x/2 while, Cole's number is twice as Jake's, 2x. The equation that represents the problem is just the summation of their sold tickets. Therefore, 538= x+ x/2 + 2x, further simplifying the equation, it becomes, 538= 7/2 x. Solving for Jake's number of tickets, Sara and Cole's number of tickets can be determined.
The z-score is given by the formula:
z=(x-μ)/σ
μ=1252
σ=129
The answer to the questions given will be as follows:
a] <span>what is the probability that a randomly selected bag contains between 1100 and 1400 chocolate chips?
z=(1400-1252)/129
z=1.15625
P(x</span>≤<span>1400)=0.8770
z=(1100-1252)/129
z=0.1190
P(X</span>≤1100<span>)=0.1190
the answer will be:
P(1100</span>≤x≤1400<span>)=0.8770-0.1190=0.758
b]</span><span>what is the probability that a randomly selected bag contains fewer than 1000 chocolate chips?
</span>z=(1000-1252)/129=-1.954
P(X≤1000)=0.0256
c] <span>what proportion of bags contains more than 1200 chocolate chips?
z=(1200-1252)/129
z=-0.4031
P(X</span>≥1200<span>)=1-P(X</span>≤1200<span>)=1-0.4031=0.5969
</span>
Hey there! :)
y = 3/4x - 2
To find the slope and y-intercept, simply use slope-intercept form to understand this.
Slope-intercept form is : y = mx + b ; where m = slope, b = y-intercept.
Therefore, you must ask yourself : which value is in the "m" spot and which value is in the "b" spot in our given equation?
Using this logic, we can come to the conclusion that :
Slope = 3/4 & Y-intercept = -2
~Hope I helped! :)
