The inequality is 45 + 2x < 120.
Solution:
Given a cost of video game = $45
Number of game controllers bought = 2
Each controller costs the same amount.
Total amount to spend = $120
Let x be taken the cost of game controller.
So, 45 + 2x < 120
Subtract 45 on both sides of the inequality.
⇒ 45 + 2x – 45 < 120 – 45
⇒ 45 – 45 + 2x < 120 – 45
⇒ 2x < 75
Divide by 2 on both sides of the inequality, we get
⇒
Hence, Kevin spend $ for each game controller.
The probability of getting exactly 8 hits in his next 20 at-bats is 0.153 (Round off to the nearest thousandth.).
The correct option is (c)
<h3>What is Binomial distribution?</h3>Binomial distribution can be thought of as simply the probability of a SUCCESS or FAILURE outcome in an experiment or survey that is repeated multiple times.
Probability=
where, n= number of trial,
r= number of success desire,
p= probability of success,
q= probability of Failure
probability of success = 0.34
To find the probability of winning exactly 8 hits in next 20 at-bats we find
dbinom (8, 20, 0.34)
Since p= 0.34
q= 1-p
= 1-0.34
= 0.66
n= 20, r=8
Using Binomial Distribution, we get
Probability=
=
=
= 125970 x 0.0001785794 x 0.00683168
= 0.1536830
≈ 0.153 (Round off to the nearest thousandth.)
Hence, the probability of getting exactly 8 hits in his next 20 at-bats is 0.153.
Learn more about Binomial Distribution here:
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