Answer:
0.4745 is the probability that fewer than 8 of the selected adults wear glasses or contact lenses.
Step-by-step explanation:
We are given the following information:
We treat adult adults wear glasses or contact lenses as a success.
P(Adults wear glasses or contact lenses) = 75% = 0.75
Then the number of adults follows a binomial distribution, where
where n is the total number of observations, x is the number of success, p is the probability of success.
Now, we are given n = 10
We have to evaluate:
P(fewer than 8 of the selected adults wear glasses or contact lenses)
0.4745 is the probability that fewer than 8 of the selected adults wear glasses or contact lenses.
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<u><em>Answers:</em></u>
(2,1)
(1,3)
<u><em>Explanation:</em></u>
Assume that the number of hot dogs is x and the number of water bottles is y.
<u>We are given that:</u>
1- cost of hot dog is $4
2- cost of water is $2
3- total profit was less than $12
<u>This means that:</u>
4x + 2y < 12
<u>We will check the options that satisfy the above inequality:</u>
<u>Option 1: (-1,5):</u>
This option is rejected as we cannot sell -1 hot dog
<u>Option 2: (0,6):</u>
4x + 2y = 4(0) + 2(6) = 12
12 is not less than 12
This option is incorrect
<u>Option 3: (2,1):</u>
4x + 2y = 4(2) + 2(1) = 8 + 2 = 10
10 is less than 12
This option is correct
<u>Option 4: (1,1.5):</u>
This option is incorrect as we cannot sell 1.5 bottle of water
<u>Option 5: (1,3):</u>
4x + 2y = 4(1) + 2(3) = 4 + 6 = 10
10 is less than 12
This option is correct
<u>Option 6: (2,2):</u>
4x + 2y = 4(2) + 2(2) = 8 + 4 = 12
12 is not less than 12
This option is incorrect
Hope this helps :)
38,496 rounded to the nearest thousand is 38,000.
