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Levart [38]
3 years ago
8

The length of the base of a rectangular prism 8 inches

Mathematics
1 answer:
madam [21]3 years ago
5 0

Answer:

Eeeeeee

Step-by-step explanation:

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6 0
3 years ago
A set of physics exam scores are normally distributed with a mean of 80 points and a standard deviation of 6
Anuta_ua [19.1K]

Answer:

The proportion of exam scores that are lower than Irina's score is 0.9938

Step-by-step explanation:

<u>Data</u>

  • mean: 80 points
  • standard deviation (sd): 6 points
  • value of interest (x): 95 points

z-score is computed as follows:

z = (x - mean)/sd

z = (95 - 80)/6 = 2.5

We want to find:

P(z < 2.5)

From the table attached:

P(z < 2.5) = 0.9938

3 0
3 years ago
Pregnant women metabolize some drugs at a slower rate than the rest of the population. The half-life of caffeine is about 4 hour
UkoKoshka [18]

Answer:

Husband:

The husband will have 16.35 mg of caffeine in his body at 7 pm.

Woman:

The pregnant woman will have 51.33 mg of caffeine in her body at 7 pm.

Step-by-step explanation:

The amount of caffeine in the body can be modeled by the following equation:

C(t) = C(0)e^{rt}

In which C(t) is the amount of caffeine t hours after 8 am, C(0) is how much coffee they took and r is the rate the the amount of caffeine decreases in their bodies.

110 mg of caffeine at 8 am,

So C(0) = 110

Husband

Half life of 4 hours. So

C(4) = 0.5C(0) = 0.5*110 = 55

C(t) = C(0)e^{rt}

55 = 110e^{4r}

e^{4r} = 0.5

Applying ln to both sides

\ln{e^{4r}} = \ln{0.5}

4r = \ln{0.5}

r = \frac{\ln{0.5}}{4}

r = -0.1733

So for the husband

C(t) = 110e^{-0.1733t}

At 7 pm

7 pm is 11 hours after 8 am, so this is C(11)

C(t) = 110e^{-0.1733t}

C(11) = 110e^{-0.1733*11} = 16.35

The husband will have 16.35 mg of caffeine in his body at 7 pm.

Pregnant woman

Half life of 10 hours. So

C(10) = 0.5C(0) = 0.5*110 = 55

C(t) = C(0)e^{rt}

55 = 110e^{10}

e^{10r} = 0.5

Applying ln to both sides

\ln{e^{10r}} = \ln{0.5}

10r = \ln{0.5}

r = \frac{\ln{0.5}}{10}

r = -0.0693

At 7 pm

7 pm is 11 hours after 8 am, so this is C(11)

C(t) = 110e^{-0.0693t}

C(11) = 110e^{-0.0693*11} = 51.33

The pregnant woman will have 51.33 mg of caffeine in her body at 7 pm.

7 0
3 years ago
Help please <br> Introduction to statistics: mastery test
Phantasy [73]

Answer:

Nonstatistical= HOW MANY ORANGES DID SALLY AT LAST MONTH, HOW MANY HOURS DID I SPEND ON EXTRA CIRICULA...,  and HOW MANY DOGS DO I HAVE

Statistical: The other ones.

Step-by-step explanation: Please Tell me if it was Wrong.

4 0
3 years ago
AnsweR quickkkkkKkkkkkk
Papessa [141]

Answer:

A & E

Step-by-step explanation:

_________________

4 0
3 years ago
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