Which is the population standard deviation of the data set: 10 ,10 ,10 ,10 , 10?

How do you solve this

Dmitriy789 [7]

By definition of the trig functions,

$\sin30^\circ=\dfrac y{16}$

$\cos30^\circ=\dfrac x{16}$

We have $\sin30^\circ=\dfrac12$ , so $y=8$ , and $\cos30^\circ=\dfrac{\sqrt3}2$ , so $x=8\sqrt3$ .

Just to check: we should have

$x^2+y^2=16^2$

by the Pythagorean theorem. Indeed,

$8^2+(8\sqrt3)^2=4\cdot8^2=2^2(2^3)^2=2^8=(2^4)^2=16^2$

6 0

4 years ago

2. What is the solution to the equation? If necessary, round your answer to the nearest tenth. A. 3x^2 = 48 B. x^2 – 2 = 12

stealth61 [152]

The first one is 4, and the second one is 3.7

8 0

3 years ago

Which concept can be used to prove that the diagonals of a parallelogram bisect each other? congruent triangles similar triangle

ch4aika [34]

<u>Answer </u>

The concept can be used to prove that the diagonals of a parallelogram bisect each other is congruent triangles

<u>Explanation </u>

In a parallelogram, opposite sides are equal and parallel.

The two diagonals in the parallelogram make four triangles. opposite triangles are congruent. That means two pair of congruent triangle are here.

Using congruence of triangles, we can prove the diagonals of a parallelogram bisect each other

4 0

3 years ago

Read 2 more answers

During a musical an orchestra is playing. As the music plays, the volume changes in the beginning of the piece can be modeled by

sweet [91]

Hey Child.

The answer to this is 1 or 7:

To find the range for the number of measures played to satisfy our solution, we must solve for x using s = 80.

Next, we subtract 50 from both sides of the equation.

Next, we divide both sides of the equation by 10

Next, to eliminate the absolute value bars, we will add a ± sign in front of our s value, 3.

Finally, we add 4 to both sides of our equation giving us 4 ± 3 = x

Separating this into two equations, we get 4 - 3 = x and 4 + 3 = x

Therefore, x, the number of measures of music played, must be either 1 or 7.

Hope It Helped!~

$\frac{JesusLoveMeAlways}{}$

4 0

4 years ago

A sample of 14 cans of Brand I diet soda gave the mean number of calories of 23 per can with a standard deviation of 3 calories.

dsp73

Answer:

ठथठलछंशू फथजलट एक ओज पनि हो र स्वार्थी यसलाई मैले कसरी भुल्न सक्थेँ र त्यहाँको बडेमाको बिल्डिङ भित्र म. म जिन्दगी एक यात्रा तय गर्न गर्ने हो र त्यहाँको बडेमाको बिल्डिङ बनाउनलाई मुख्य समाचार पृष्ठ सभकेँ रिफ्रेश कए देखू। म भने त्यो भने हेर्न

3 0

3 years ago