The cost of a pizza is 30 cents less than 8 times the cost of a soda . If x represents the cost of the soda in terms of cents .
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Answer:
0.9783 = 97.83% probability that a can that gets shipped for use will be of perfect shape
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
In which
P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Shipped for use
Event B: Perfect shape
Probability of being shipped for use:
Perfect shape(0.9 probability) or unnoticeable dent(0.02 probability). So
Being shipped for use and being in perfect shape.
0.9 probability, so
What is the probability that a can that gets shipped for use will be of perfect shape?
0.9783 = 97.83% probability that a can that gets shipped for use will be of perfect shape
Given: Mean μ = 61.2 and standard deviation σ =21.4
The Z score of the value x=45 is given by
Z =
Z =
Z =
Z = -0.757
The z-score value for 45 rounded to nearest tenth is -0.8
The measure of EC is 1 ft.
Solution:
Given data:
AD = 8 ft, DB = 2 ft, AE = 4 ft
To find the measure of EC:
Using triangle proportionality theorem,
<em>If a line is parallel to one side of a triangle intersects the other two sides, then it divides the two side proportionally.</em>
Do cross multiplication.
8 EC = 8
Divide by 8 on both side of the equation, we get
EC = 1
EC = 1 ft
Hence the measure of EC is 1 ft.