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bonufazy [111]
3 years ago
12

In a survey, a group of students were asked their favorite sport. Eighteen students chose “other” sports.

Mathematics
1 answer:
Nina [5.8K]3 years ago
6 0
<span>a. How many students participated?

</span>
You might be interested in
Calculate the value of the sample variance. Round your answer to one decimal place. 9_5,9_5,2,9_5
Ugo [173]

Answer:

s^2 = 0.01

Step-by-step explanation:

Given

Values: 9/5, 9/5, 2, 9/5

Required

Calculate the sample variance

Sample variance is calculated using:

s^2 = \frac{\sum (x_i - \overline x)^2}{n - 1}

First, we calculate the mean

\overline x = \frac{\sum x}{n}

\overline x = \frac{9/5 + 9/5 + 2 + 9/5}{4}

\overline x = \frac{7.4}{4}

\overline x = 1.85

s^2 = \frac{\sum (x_i - \overline x)^2}{n - 1} becomes

s^2 = \frac{(9/5 - 1.85)^2+(9/5 - 1.85)^2+(2 - 1.85)^2+(9/5 - 1.85)^2}{4 - 1}

s^2 = \frac{(-0.05)^2+(-0.05)^2+(0.15)^2+(-0.05)^2}{4 - 1}

s^2 = \frac{0.0025+0.0025+0.0225+0.0025}{3}

s^2 = \frac{0.03}{3}

s^2 = 0.01

<em>Hence, the variance is 0.01</em>

5 0
2 years ago
How to find the area of a tilted square?
Katena32 [7]
A square has 4 sides of equal legnths
in your point of view, it looks tilted because it is actually a rhombus, a paralellogram (4 sided figure with 2 pairs of paralell sides) with 4 equal sides

to find the area, just multiply  base by height (look at ilustration/attachmtns)

3 0
3 years ago
How to convert nonlinear equation to linear equation?
9966 [12]
Let's take the non-linear equation:
{x}^{2}  =  \sqrt{3} y
First Make The Equation To Be In Terms of Y

*Divide Both sides by
\sqrt{3}
\frac{ {x}^{2} }{ \sqrt{3} }  =  \frac{ \sqrt{3} y}{ \sqrt{3} }
*Simplify
\frac{ {x}^{2} }{ \sqrt{3} }  = y
You shouldn't keep a radical in the denominator, however we leave it for the purpose of the reciprocal.

*Take The Reciprocal Of Both Sides
\frac{ \sqrt{3} }{ {x}^{2} } =  \frac{1}{y}
A Linear Equation Takes The Format:
y = mx + b
So,
\frac{1}{y}  = y
b = 0
m(slope) =  \frac{ \sqrt{3} }{x}
x =  \frac{1}{x}
Resulting in :
\frac{1}{y}  =  \frac{ \sqrt{3} }{x}  (\frac{1}{x} ) + 0

4 0
3 years ago
Express the following rational number as decimals 615/125​
GarryVolchara [31]

Answer:

4.92

Step-by-step explanation:

615 divided by 125 equals to 4.92

4 0
3 years ago
A tetrahedron is a triangular pyramid with 4 equilateral faces. Han has a box of tetrahedrons with each of the 4 vertices marked
Daniel [21]

Theoretically, the number of the vertex comes at the top must be equal for infinitely many numbers of trials, but it's a tedious job to roll the dice for a large number of times. Rolling the tetrahedron only 10 times will not predict the correct result.

Han suspects that this tetrahedron is weighted in some way to make 1 appear more often than the other numbers.

So, check his suspect experimentally with the help of the concept of center of mass. A fair tetrahedron must have the center of mass at the center of the body.

The given tetrahedron has 4 equilateral triangular faces, so at first, measure all the sides of triangular faces and make sure that all are having the same length.

Then, conduct an experiment to check the location of the center of mass.

Hang the tetrahedron by attaching a thin string at the vertex 1 as shown in the figure and observe the base surface ( triangle 234) whether it is parallel to the ground or not.

Now, repeat the same by hanging it with vertices 2, 3, and 4 and observe the base surface.

For the center of mass to be located at the center of the tetrahedron, the base must be parallel to the ground (flat ground).i.e the hanging string must be perpendicular to the base for all the four cases.

If this is so, then the tetrahedron is a fair tetrahedron otherwise not.

8 0
3 years ago
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