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lakkis [162]
3 years ago
14

Two glasses of milk and 4 snack bars have a total of 66 carbohydrates​ (carbs), and 4 glasses of milk and 3 snack bars have a to

tal of 82 carbs. Determine how many carbs are in one glass of milk and in one snack bar
Mathematics
1 answer:
musickatia [10]3 years ago
5 0
2m + 4s = 66.
4m + 3s = 84.
(Double the 2 glass of milk and 4 snack bars)
4m + 8s = 132.
4m + 3s = 84.
(Take away the second equation from the first equation)
5s= 48.
s = 48/5.
s = 9.6.
4m + 3(9.6) = 84.
4m + 28.8 = 84.
4m = 84 - 28.8.
4m = 55.2.
4m/4 = 55.2/4.
m = 13.8.
In a glass of milk, there are 13.8 carbs, and in a snack bar, there are 9.6 carbs.
2(13.8) + 4(9.6) = 66.
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In a survey of 2957 adults, 1455 say hey have started paying bills online in the least year construct a 99% confidence interval
Vikki [24]

Answer: 0.49 ± 0.0237

Step-by-step explanation: A interval of a 99% confidence interval for the population proportion can be found by:

p_{hat} ± z.\sqrt{\frac{p_{hat}(1-p_{hat})}{n} }

p_{hat} is the proportion:

p_{hat} = \frac{1455}{2957}

p_{hat} = 0.49

For a 99% confidence interval, z = 2.576:

0.49 ± 2.576.\sqrt{\frac{0.49(1-0.49)}{2957} }

0.49 ± 2.576.\sqrt{\frac{0.49*0.51}{2957} }

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0.49 ± 0.0237

For a <u>99% confidence interval</u>, the proportion will be between 0.4663 and 0.5137 or 0.49 ± 0.0237

7 0
3 years ago
a cell phone company has a basic monthly plan of $40plus $0.45 for many minutes ised over 700. John was charged a total of $48.1
jonny [76]
Cost of month plan = $40

Cost of minutes used = $0.45 after 700 minutes

Total cost = $48.10

Let x be the total minutes used
Total cost = 40 + 0.45(x - 700)

------------------------------------------------------------------
Form the equation and solve x
------------------------------------------------------------------
40 + 0.45(x - 700) = 48.10
40 + 0.45x - 315 = 48.10
0.45x - 275 = 48.10
0.45x = 48.10 + 275
0.45x = 323.10
x = 323.10 ÷ 0.45
x = 718

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Answer: John had used 718 mins this month
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8 0
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Given function is f(x) = x³ -12x +16.

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Given factor is x -2 = 0, that means x = 2. So we need to divide the numbers by 2.

So correct way to divide the function would be 2 L 1, 0, -12, 16.

Hence, option C is correct.

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3 years ago
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