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balu736 [363]
3 years ago
9

On August 21, 2009, the World Health Organization announced its prediction that the number of new cases of H1N1 (swine flu) viru

s would double every 4 days for several months. As of July 27, 2009, the number of new cases was 15,784. Determine the instantaneous growth rate for the virus (rounded to the nearest ten-thousandths).
Mathematics
1 answer:
sertanlavr [38]3 years ago
4 0

Answer:

  growth rate = 0.1733 per day, or 17.33% per day

Step-by-step explanation:

Since the doubling time is 4 days, the growth factor over a period of t days is ...

  2^(t/4)

Then the growth factor for 1 day is

  2^(1/4) ≈ 1.189207

The instantaneous growth rate is the natural log of this:

  ln(1.189207) ≈ 0.1733 . . . per day

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Cameron surveys every tenth student who walks into school to determine the favorite type of movie of students in his school. wha
Katarina [22]
So every 1 out of 10 students is checked also is there anymore to this question?
5 0
3 years ago
A linear function has the same y-intercept as x + 4y = 8 and its graph contains the point (5,3). Find the slope of the linear fu
AnnyKZ [126]

Answer:

<em>x - 5y = - 10 </em>

Step-by-step explanation:

y = mx + b (b is y-intercept)

m = \frac{y_{2} -y_{1} }{x_{2} -x_{1} }

~~~~~~~~~~~~

x + 4y = 8 ⇔ y = -\frac{1}{4} x + 2 ⇒ y-intercept is 2 and coordinates of y-intercept are <u><em>(0, 2)</em></u>

(5, 3)

m = \frac{3-2}{5-0} = \frac{1}{5}

y = \frac{1}{5} x + 2 (slope-intercept form)

<em>x - 5y = - 10</em> (standard form)

4 0
2 years ago
Answer all of the following questions above. I will give brainliest to the correct answer!
zepelin [54]

Answer:

40

112

2n^2 + 2n       C

Step-by-step explanation:

a)The correct formula is 2n^2 + 2n

So for n =4, the answer is

2*4^2 + 2*4

2*16 + 8

32 + 8

40

b) For the seventh answer you get

2 * 7^2 + 2*7

2*49 + 14

98 + 14

112

c) The correct formula to use is

2n^2 + 2n  See diagrams for the number of matchsticks to be used.

n                    2n^2 + 2n

1                    2*1^2 + 2*1

1                    2 + 2

1                    4

2                    2*2^2 + 2*2

2                    2* 4 + 4

2                    8 + 4

2                    12

3                    2*3^2 + 2*3

3                    18 + 6

3                    24

What an extremely interesting sequence. I'll bet not one person in 100 could get this without the match stick diagrams.  I'm sorry I didn't read the question more carefully.

5 0
2 years ago
The diameters of ball bearings are distributed normally. The mean diameter is 123 millimeters and the standard deviation is 4 mi
Mrac [35]

Answer:

0.0668

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 123, \sigma = 4

Find the probability that the diameter of a selected bearing is greater than 129 millimeters.

This is 1 subtracted by the pvalue of Z when X = 129. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{129 - 123}{4}

Z = 1.5

Z = 1.5 has a pvalue of 0.9332

1 - 0.9332 = 0.0668

0.0668 = 6.68% probability that the diameter of a selected bearing is greater than 129 millimeters.

8 0
3 years ago
in 2015, there were approximately 33,600 firearm fatalities (homicides and suicides). Express this quantity in deaths per hour.
fomenos
The answer would be3.8356164375.This is because you have to divide 33,600 by 365 which gives you 92.0547945.The number 365 because of the amount days in a year.So that gave you the deaths per day.So then you divide it by 24.The number 24 because of 24 hours in a day.So, 92.0547945 by 24, this will give you the hourly rate of deaths.
8 0
3 years ago
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