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WITCHER [35]
3 years ago
8

You drink a beverage with 120 mg of caffeine. Each hour, the caffeine in your system decreases by about 12%. How many milligrams

of caffeine will be in your system after 8 hours? Round to two decimal places? Can someone show me how to work this problem out?
Mathematics
1 answer:
valentina_108 [34]3 years ago
8 0

Answer:

 43.16 mg

Step-by-step explanation:

After each hour, the amount remaining is 100% - 12% = 0.88 times the amount present at the beginning of the hour. Then after 8 hours, the amount remaining will be the initial amount multiplied by 0.88 eight times, or ...

  (120 mg)·(0.88^8) ≈ 43.1561 mg ≈ 43.16 mg

_____

Of course, an exponent is used to signify repeated multiplication. You can actually do the multiplication if you like, but most scientific and graphing calculators handle exponentiation easily.

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In ABC, what is the value of x?<br><br> Pls hurry im on a time limit here
kiruha [24]

Answer:

70

Step-by-step explanation:

By exterior angle theorem:

(2x + 12) \degree = 112 \degree + 180 \degree - 2x \degree \\  \\ (2x + 12) \degree = 292 \degree - 2x \degree \\  \\ (2x + 12) \degree  + 2x \degree = 292 \degree \\  \\ (2x + 12 + 2x) \degree = 292 \degree \\  \\ (4x + 12) \degree = 292 \degree \\  \\ 4x + 12  = 292  \\  \\ 4x = 292 - 12 \\  \\ 4x = 280 \\  \\ x =  \frac{280}{4}  \\  \\ x = 70

6 0
3 years ago
a study studied the birth weights of 1,999 babies born in the United States. The mean weight was 3234 grams with a standard devi
Aleks [24]

Answer:

1899

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 3234

Standard deviation = 871

Percentage of newborns who weighed between 1492 grams and 4976 grams:

1492 = 3234 - 2*871

So 1492 is two standard deviations below the mean.

4976 = 3234 + 2*871

So 4976 is two standard deviations above the mean.

By the Empirical Rule, 95% of newborns weighed between 1492 grams and 4976 grams.

Out of 1999:

0.95*1999 = 1899

So the answer is 1899

8 0
3 years ago
You’re going to use your TI-83 graphing calculator to compute the area between values of 7 and 9 for a distribution whose mean i
astraxan [27]

Answer: The answer is A

Step-by-step explanation: You use normalcdf to find the area under a curve. The lower bound (in this case 7) goes first followed by the upper bound, mean, and standard deviation.

8 0
3 years ago
Which of the following values when placed in the ten's place for the number 1_1 will make it a prime number?
Sloan [31]
The answer is 181.

Ans: 8
6 0
3 years ago
Read 2 more answers
What ratio is the same as 60%
andriy [413]
6:10 or 3:5 I believe
Hope this helps!
3 0
3 years ago
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