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ohaa [14]
3 years ago
5

How long does it take a kangaroo to travel 5 kilometer

Mathematics
1 answer:
vagabundo [1.1K]3 years ago
8 0
1 Second is how long
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Apply the 45º-45º-90º Triangle Theorem to find the length of the hypotenuse of the triangle.
Alekssandra [29.7K]

Answer:

  The sine of the angle = the length of the opposite side. the length of the hypotenuse.

  The cosine of the angle = the length of the adjacent side. the length of the hypotenuse.

  The tangent of the angle = the length of the opposite side. the length of the adjacent side.

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
In a random sample of 7 residents of the state of Maine, the mean waste recycled per person per day was 1.4 pounds with a standa
ivolga24 [154]

Answer:

a) The 95% confidence interval for the mean waste recycled per person per day for the population of Maine is between 1.19 and 1.61 pounds.

b) T_c = 2.4469

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used 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 = 7 - 1 = 6

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 6 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.95}{2} = 0.975. So we have T = 2.4469, and the answer to question b is T_c = 2.4469

The margin of error is:

M = T\frac{s}{\sqrt{n}} = 2.4469\frac{0.23}{\sqrt{7}} = 0.21

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 1.4 - 0.21 = 1.19 pounds.

The upper end of the interval is the sample mean added to M. So it is 1.4 + 0.21 = 1.61 pounds.

The 95% confidence interval for the mean waste recycled per person per day for the population of Maine is between 1.19 and 1.61 pounds.

7 0
2 years ago
An architect builds a model of a park in the shape of a rectangle. The model is 40.64 centimeters long and 66.04 centimeters wid
Nadusha1986 [10]

Answer:

8.3

Step-by-step explanation:

hopeee this helpss outt !!

3 0
3 years ago
Read 2 more answers
You recently discovered that your job provides a 25% matching towards your retirement.
Harman [31]

Answer:

What is typed in the attached Excel file is =FV(B4,B5,-B3,0,0).

Step-by-step explanation:

Note: See the attached excel file for the calculation of future value of an ordinary annuity.

Since we want to find the balance after 30 years, the function in the Excel is the FV function which is used to calculate the future value (FV) of an ordinary annuity as follows:

=FV(rate,nper,-pmt,0,0) …………………… (1)

rate = Monthly interest rate = APR / 12 = 8.99% / 12 = 0.0899 / 12 = 0.00749166666666667. Note: This is typed in cell B4 in attached excel file.

nper = periods = number of months = 30 years * 12 months = 360. Note: This is typed in cell B5 in attached excel file.

pmt = monthly payment = $300. Note: This is typed in cell B3 in the attached excel file. And also typed as a negative value in cell B7, i.e. as -B3.

pv = present value = 0. Note: This is the first 0 typed in cell B7 in the attached excel file.

type 0 = 0 this is typed to indicate that deposit is made at end of period as a regular or ordinary annuity. This is the second 0 typed in cell B7 in the attached excel file.

Based on the above, the FV function in equation (1) above is converted to the following which is typed in the attached Excel file to find the balance after 30 years:

=FV(B4,B5,-B3,0,0)

The above then gives a future value of $548,080.11 which is  the balance after 30 years.

Download xlsx
3 0
3 years ago
What name of triangle name is when they only have two side the same lenght
xxMikexx [17]

It's name is “isosceles triangle”

5 0
3 years ago
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