For a probability distribution the expected value is the summation of product of probabilities with their respective data values. Let x be the probability that Jackson goes gym for 2 days and y be the probability that he goes gym for 3 days.
For the given case we have following values and their probabilities:
0 : 0.1
2 : x
3 : y
So the expected value will be = 0(0.1) + 2(x) + 3(y)
Expected value is given to be 2.05. So we can write the equation as:
2x + 3y = 2.05 (Equation 1)
Also for a probability distribution, the sum of probabilities must always equal to 1. So we can set up the second equation as:
0.1 + x + y = 1
x + y = 0.9 (Equation 2)
From Equation 2 we can write the value of x to be x = 0.9 - y. Using this value in equation 1, we get:
2(0.9 - y) + 3y = 2.05
1.8 - 2y + 3y = 2.05
1.8 + y = 2.05
y = 0.25
Using the value of y in equation 2 we get value of x to be 0.65
Therefore we can conclude that:
The probability that Jackson goes to gym for 2 days is 0.65 and the probability that he goes to gym for 3 days is 0.25
I see the solution in three steps.
1.) RS ⊥ ST, RS ⊥ SQ, ∠STR ≅ ∠SQR | Given
2.) RS<span>≅RS | Reflexive Property
3.) </span><span>△RST ≅ △RSQ | AAS Triangle Congruence Property</span>
Answer:
Bill launched a model rocket, and estimated its height h, In feet, after 1 seconds. His results are shown in the table
Time, 1 0 1 2 3 4
Height, h 0 110 190 240 255
Bill's data can be modeled by the function h(t) = -1612 + 128.
Which value is the best prediction for the height of the rocket after 5.5 seconds?
A 150 ft
B. 180 ft
C. 220 ft
D. 250 ft
E 260 ft
Step-by-step explanation:
<u>Step 1: Find the reasonable estimate</u>
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The closest number to 28 out of the option is 30. Therefore, the correct option is D.
Answer: Option D
The answer is 30 minutes. Because 6 x 5 = 30 while 5 6 = 30 as well. Hope this helped.
