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rewona [7]
2 years ago
8

-How to simplify y^3Z^5/Y^2Z^3?

Mathematics
1 answer:
Romashka [77]2 years ago
8 0

Answer:

=yz8

Step-by-step explanation:

I HOPE THIS HELPS ^^!!

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mote1985 [20]
2. one angle of and one side are equal therefore bc and ce have to equal each other.
3.because angle a and angle d equal each other, angles acb and dce equal each other
4.opposite interior angles equal each other
5.triangles equal each other for all the reasons above
5 0
3 years ago
An environmental scientist wants to use a 95% confidence interval to estimate the mean number of hours per day her solar panel r
MissTica

Answer:

a) The 95% confidence interval for the mean number of hours per day her solar panel receives direct sunlight is between 2.5 and 11.7.

b) The confidence interval is built from a sample of 48 days. However, we can be 95% sure that for all days, the mean number of hours per day her solar panel receives direct sunlight is between 2.5 and 11.7.

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 = 48 - 1 = 47

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 47 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.95}{2} = 0.975. So we have T = 2.0117

The margin of error is:

M = T*s = 2.0117*2.3 = 4.6

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 7.1 - 4.6 = 2.5 hours of sunlight per day

The upper end of the interval is the sample mean added to M. So it is 7.1 + 4.6 = 11.7 hours of sunlight per day

a) Compute the 95% confidence interval for the mean.

The 95% confidence interval for the mean number of hours per day her solar panel receives direct sunlight is between 2.5 and 11.7.

b) Explain your confidence interval from part (a) in context.

The confidence interval is built from a sample of 48 days. However, we can be 95% sure that for all days, the mean number of hours per day her solar panel receives direct sunlight is between 2.5 and 11.7.

6 0
3 years ago
JUST THE FIRST ONE EASY PLS ASAP
Sladkaya [172]

Answer:

<h2>For the first triangle, <u>x equals 22cm.</u></h2>

Here's how:-

x is the altitude or height of the triangle. To find it, we can use the Pythagoras theorem:-

altitude^{2} + base^{2} = hypotenuse^{2}

The base is 120cm and the hypotenuse is 122cm

Putting this in the equation, we get:-

altitude^{2} + 120^{2} = 122^{2}

altitude^{2} =  122^{2}-  120^{2}

altitude^{2} = 14884 - 14400

altitude^{2} = 484

altitude = \sqrt{484}

<h3>altitude = 22cm</h3><h2><u>So, x = 22cm</u></h2>

7 0
3 years ago
What is the median of 74,83,79,62,65,73
Allisa [31]

Answer:

Step-by-step explanation:

Median: 73.5

4 0
3 years ago
At the end of a 10-year loan, $13,570 had
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