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1 answer:
Answer:
The rate of change is or 1.75. That shows that the cost per video game is $1.75
Step-by-step explanation:
The change in y over change of x or slope can be calculated using the equation:
so take the last two points: (10, 25) and (15, 33.75).
33.75-25=8.75
15-10=5
8.75/5=<u>1.75</u><u> </u><u>(7/4)</u>
x=video games
y=total cost
Since slope is change in y (cost) per change of x (video games), the answer is:
1.75 cost per video game
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Answer:
Probability that at least 490 do not result in birth defects = 0.1076
Step-by-step explanation:
Given - The proportion of U.S. births that result in a birth defect is approximately 1/33 according to the Centers for Disease Control and Prevention (CDC). A local hospital randomly selects five births and lets the random variable X count the number not resulting in a defect. Assume the births are independent.
To find - If 500 births were observed rather than only 5, what is the approximate probability that at least 490 do not result in birth defects
Proof -
Given that,
P(birth that result in a birth defect) = 1/33
P(birth that not result in a birth defect) = 1 - 1/33 = 32/33
Now,
Given that, n = 500
X = Number of birth that does not result in birth defects
Now,
P(X ≥ 490) =
= + .......+
= 0.04541 + ......+0.0000002079
= 0.1076
⇒Probability that at least 490 do not result in birth defects = 0.1076