A positive angle less than 360 that is coterminal with -725 degrees is

The population of mosquitoes in a certain area increases at a rate proportional to the current population, and in the absence of

Nesterboy [21]

Answer:

$P=400000(2^t)-40000t$

Step-by-step explanation:

The initial number of mosquitoes is 400000, and they double each day. This represents an exponential growth equation. If t represent days and P represent the population of the mosquitoes, hence this can be represented by the equation:

$P=400000(2^t)$

Also, the predators eat the mosquitoes at a rate of 40,000 mosquitoes/day. This means that each day, the mosquitoes reduce by 40000t, therefore this can be represented by:

$P=400000(2^t)-40000t$

8 0

3 years ago

A cylinder has a radius of 7 inches and a height of 13 in. What is the volume of the cylinder?

madreJ [45]

Answer:

2,637.18 $in^{3}$

Step-by-step explanation:

The formula for finding the volume of a cylinder is....

V = π $r^{2}h$

π = 3.14

Radius = 7

Height = 13

Now that we have what we need, we can substitute the numbers into the equations to get our volume

V = π $r^{2}h$

V = 3.14 * $7^{2}$ * 13

V = 3.14 * 49 * 13

V = 202.86 * 13

V = 2,637.18

The volume of the cylinder is 2,637.18 $in^{3}$

Hope this helped!

have a supercalifragilisitcexpialidocious day!

5 0

2 years ago

A news report states that the 99% confidence interval for the mean number of daily calories consumed by participants in a medica

expeople1 [14]

Answer:

The sample mean is of 1925 calories.

The margin of error is of 75 calories.

The sample standard deviation is of 109.7992 calories.

Step-by-step explanation:

Sample mean:

The sample mean is the mean value of the two bounds of the confidence interval. So

$M = \frac{1850 + 2000}{2} = 1925$

The sample mean is of 1925 calories.

The margin of error

Difference between the bounds and the sample mean. So

2000 - 1925 = 1925 - 1850 = 75 calories.

The margin of error is of 75 calories.

Sample standard deviation:

Here, I am going to expand on the t-distribution.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 18 - 1 = 17

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 17 degrees of freedom(y-axis) and a confidence level of $1 - \frac{1 - 0.99}{2} = 0.995$ . So we have T = 2.898