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Vinvika [58]
2 years ago
5

If the sum of the interior angle of a polygon is 1800 how many sides does it have

Mathematics
1 answer:
Verdich [7]2 years ago
6 0

Answer: 12 sides

Step-by-step explanation:

The sum of the interior angles of a polygon is 180(n-2), where n is the number of sides

180(n-2)=1800\\\\n-2=10\\\\n=12

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A researcher surveyed 150 high school students and found that 68% played a musical insturment. What would be a reasonable range
maria [59]

Answer:

The reasonable range for the population mean is (61%, 75%).

Step-by-step explanation:

The interval estimate of a population parameter is an interval of values that consist of the values within which the true value of the parameter lies with a certain probability.

The mean of the sampling distribution of sample proportion is, \hat p.

One of the best interval estimate of population proportion is the 95% confidence interval for proportion,

CI=\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}

Given:

n = 150

\hat p = 0.68

The critical value of <em>z</em> for 95% confidence level is:

z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96

Compute the 95% confidence interval for proportion as follows:

CI=\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}

     =0.68\pm1.96\sqrt{\frac{0.68(1-0.68)}{150}}\\\\=0.68\pm 0.0747\\\\=(0.6053, 0.7547)\\\\\approx (0.61, 0.75)

Thus, the reasonable range for the population mean is (61%, 75%).

5 0
4 years ago
Write a quadratic function f whose zeros are -10 and -2
statuscvo [17]

f(x) = (x - -10)(x - -2)

We could stop here and have answered the question.

f(x) = (x+10)(x+2) = x^2 + 12 x + 20

Answer: f(x)=x^2+12x + 20

7 0
3 years ago
Read 2 more answers
The answer is Drusilla
Nataly_w [17]

Answer:

Drusilla

Step-by-step explanation:

the answer is Drusilla

3 0
3 years ago
C and D are complementary. The measure of C is (4x) degrees and the measure of K is 26 degrees. What is the value of x?
Semmy [17]

Answer:

16

Step-by-step explanation:

Complementary angles are angles which add to 90 degrees. This means 4x + 26 = 90. Solve for x using inverse operations in the equation.

4x+26 = 90

4x = 64

x = 16

4 0
3 years ago
On Martin's first stroke, his golf ball traveled 4 5 5 4 ​ start fraction, 4, divided by, 5, end fraction of the distance to the
faltersainse [42]

Answer:

0.395 kilometers

Step-by-step explanation:

Please consider the complete question.

On Martin's first stroke, his golf ball traveled 4/5 of the distance to the hole. On his second stroke, the ball went into the hole. Martin was standing 79 meters from the hole as he took his second stroke. How many kilometers from the hole was Martin when he started?

Let x represent the distance between hole and start point.

In 1st stroke ball traveled 4/5 of the distance, so 1/5 of the distance was remaining from 2nd stroke to hole. This means the 1/5 of whole distance between start point and hole is equal to 79 meters.

We can represent this information in an equation as:

\frac{1}{5}x=79

\frac{1}{5}x\cdot 5=79\cdot 5

x=395

Since our distance is in meters, so we will convert 395 meters into kilometers by dividing by 1000.

395\text{ meters}=\frac{395}{1000}\text{ km}=0.395\text{ km}

Therefore, Martin was 0.395 kilometers from the hole, when he started.

3 0
3 years ago
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