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Diano4ka-milaya [45]
2 years 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]2 years 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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A reporter for a large sports television network wants to determine if "homefield advantage" is dependent upon the sport. He col
Ne4ueva [31]

Answer:

with 0.10 level of significance the P-VALUE that would be used in the hypothesis claim is 0.05%

Step-by-step explanation:

In hypothesis testing in statistics, we can say that the p-value is a probability of obtaining test results when we assume that the null hypothesis is correct.

The p-value is the probability that the null hypothesis is true.

A p-value less than or equals to 0.05  is statistically significant. It shows strong evidence against the null hypothesis, meaning  there is less than a 5% probability the null is correct and clearly we can say that the results are random.

8 0
2 years ago
Christopher is analyzing a circle, y2 + x2 = 121, and a linear function g(x). Will they intersect?
serg [7]
The complete question and the picture in the attached figure

we have that
y^2 + x^2 = 121
is a circle with center at (0,0) and radius r=11 units
and
 g(x)
points (-1,14)  (0,12)  (1,10)

using a graph tool
see the attached figure

the answer is
A. Yes, at the positive x coordinates. 

7 0
2 years ago
The shorter sides of an acute triangle are x cm and 2x cm. The longest side of the triangle is 15 cm. What is the smallest possi
Ierofanga [76]
For an acute angled triangle 

h^2 < x^2 + y^2      where h = longest side and x and y are the other 2 sides.

so here we have

15^2 <  x^2 + (2x)^2

15^2 <  5x^2

x^2 >  15*3 = 45
x > sqrt 45 or x > 6.7

So smallest whole number value of  x is 7
7 0
2 years ago
Read 2 more answers
Сумму чисел 165 и 633 уменьшили в несколько раз получили 266. Чему равно неизвестное число?
Whitepunk [10]

Answer:

3

Step-by-step explanation:

The sum of 165 and 633 will be

165+633=798

When the sum is reduced to 266, it means the sum is reduced by 798/266=3

The sum is reduced three times.

Therefore, as per the question, this sum was reduced three different times

4 0
2 years ago
Bill, bob, and barry are hired to paint signs. in 8 hours bill can paint 1 sign, bob can paint 2 signs, and barry can paint 1 an
OLEGan [10]
Define rates at which the individuals paint.
Bill:  x = 1/8  signs/h
Bob: y = (2 signs)/(8 h) = 1/4  signs/h
Barry: z = (4/3 signs)/(8 h) = 1/6 signs/h

The job is to paint 2 signs, working together.

In the first 3 hours, the amount painted is
(x+y+z signs/h)*(3 h) = (1/8 + 1/4 + 1/6)*3 = 13/8 signs
Remaining: 2 - 13/8 = 3/8 signs

Barry quits.
In the next 1/2 hour (30 minutes), the amount painted is
(x + y signs/h)*(0.5 h) = (1/8 + 1/4)*0.5 = 3/16 signs
Remaining: 3/8 - 3/16 = 3/16 signs

Now Bob quits.
The time for Bill to finish the job is
(3/16  signs)/(1/8 signs/h) = 3/2 h

Answer: Bill finishes the job in 1.5 hours (or 1 hour, 30 minutes) 

7 0
2 years ago
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