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Diano4ka-milaya [45]
1 year ago
10

The half life of a certain tranquilizer in the bloodstream is 37 hours. How long will it take for the drug to decay to 86% of th

e original decay model,A=A
Mathematics
1 answer:
nata0808 [166]1 year ago
5 0

Answer:

  8.1 hours

Step-by-step explanation:

A model of the fraction remaining can be ...

  f = (1/2)^(t/37) . . . . t in hours

So, for the fraction remaining being 86%, we can solve for t using ...

  0.86 = 0.5^(t/37)

  log(0.86) = (t/37)log(0.5)

  t = 37·log(0.86)/log(0.5) ≈ 8.0509 ≈ 8.1 . . . hours

It takes about 8.1 hours to decay to 86% of the original concentration.

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How much profit was generated by the sales of gold label and black label combined?
blsea [12.9K]

The<u> profit</u> genereted  by the <u>sales of gold label and black label combined</u> is <u>the sum</u> of the profits generated by the sales of gold label and of the profits generated by the sales of black label.

1. From the table

\begin{array}{ccc}&\text{Number of bottles sold}&\text{Average profit (per bottle)}\\\text{Gold label}&1,000&\$2.75\end{array}

you can find the profits generated by the sales of gold label:

1,000\cdot \$2.75=\$2,750.

2. From the table

\begin{array}{ccc}&\text{Number of bottles sold}&\text{Average profit (per bottle)}\\\text{Black label}&2,000&\$1.50\end{array}

you can find the profits generated by the sales of black label:

2,000\cdot \$1.50=\$3,000.

In total

\$2,750+\$3,000=\$5,750.

Answer: correct option 5

8 0
2 years ago
Read 2 more answers
Roger bowled 7 games last weekend. His scores are 155, 165, 138, 172, 127, 193 , 142. What is the RANGE of Roger's scores?
Verdich [7]

Answer:

66

Step-by-step explanation:

In statistics, the formula for RANGE is given as the difference between the Highest and the Lowest value.

In the above values we are given data consisting of the 7 games that Roger bowled.

155, 165, 138, 172, 127, 193 , 142.

Step 1

We arrange from the least to the highest.

127, 138, 142, 155, 165, 172, 193

Step 2

Lowest value = 127

Highest value = 193

Step 3

Range = 193 - 127

= 66

Therefore, the range of Roger's scores is 66

4 0
2 years ago
To find the distance between (-2,-3) and (4,1), Peggy's teacher drew a diagram and marked blue lines to represent the legs of a
Igoryamba

Answer:

Ik this is late but the answer is A

3 0
1 year ago
Mrs. Ronilo had her students make a stem-and-leaf plot of the heights of all of the students in the class. The mean was 55. Dave
shutvik [7]
Given that the mean is 55 inches  and Dave is 57 inches, he would have increased the mean of the height in the stem-and-leaf plot that the students were making. This is however is also dependent upon the central tendency that was used, in this case the central tendency is mean or average. 
8 0
2 years ago
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A simple random sample of 100 concert tickets was drawn from a normal population. The mean and standard deviation of the sample
alexandr402 [8]

Answer:

We accept the null hypothesis and the population mean is $120.

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 100

Sample mean, \bar{x} = $120

Alpha, α = 0.01

Sample standard deviation, s = $25

First, we design the null and the alternate hypothesis

H_{0}: \mu = 125\\H_A: \mu \neq 125

We use two-tailed t test to perform this hypothesis.

Formula:

t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }

Putting all the values, we have

t_{stat} = -2.0              

p-value one tail= 0.024

p-value two tail= 0.048

Conclusion:

Since the p-value for two tailed test is greater than the significance level, we fail to reject the null hypothesis and accept it.

Thus, the population mean is $120.

6 0
2 years ago
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