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Marina CMI [18]
2 years ago
12

The frog population on an island is declining at a rate of 3.2% per year. The population was 4500 in the year 2009.

Mathematics
1 answer:
PtichkaEL [24]2 years ago
5 0

Answer:

3636

Step-by-step explanation:

2015 - 2009 = 6

3.2 x 6 = 19.2

19.2/100 x 4500 = 864

4500 - 864 = 3636

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How many feet long is the fence ?
grandymaker [24]

Answer:

50 feet long

Step-by-step explanation:

Use the Pythagorean theorem to find the value of the missing side. The pythagoreon theorem only works with right triangles such as this one.

a²+b²=c²

Where a and b are length of legs (sides) of a triangle. And c is the length of the hypotenuse. The hypotenuse is the side across from the right angle.

We know by looking at the image posted in the question, that one leg of the triangle is 14 feet. And another leg is 48 feet. (Length of picnic area) (length of campground)

14²+48²=c²

Simplify

196+2304=2500

Find square root of 2500

√(2500)=50

So 14²+48²=50²

The missing side is 50 feet long. The fence is 50 feet long.

Attached is another example.

7 0
3 years ago
Please help me out and with work included
irina1246 [14]
Hope that makes sense


3 0
2 years ago
On day two of a study on body temperatures, 106 temperatures were taken. Suppose that we only have the first 10 temperatures to
NemiM [27]

Answer:

The 95% confidence interval for the mean of all body temperatures is between 97.76 ºF and 99.12 ºF

Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution to solve this question.

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 = 10 - 1 = 9

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 9 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.95}{2} = 0.975. So we have T = 2.2622

The margin of error is:

M = T*s = 2.2622*0.3 = 0.68

In which s is the standard deviation of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 98.44 - 0.68 = 97.76 ºF

The upper end of the interval is the sample mean added to M. So it is 98.44 + 0.68 = 99.12 ºF

The 95% confidence interval for the mean of all body temperatures is between 97.76 ºF and 99.12 ºF

4 0
3 years ago
A plane is flying at an altitude of 17,000 feet. The angle of depression from the plane to the airport is 21 degrees. What is th
lesantik [10]

Answer:

tan 21 = 17 000 / d

d = 17000/ tan21 = 44286.5 ft

5 0
3 years ago
Quadrilateral abcd is a Trapezoid with and area of 20cm find the height of the Trapezoid h round to nearest tenth
Margaret [11]
35 is the answer and dont ask why.

3 0
3 years ago
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