when is it easy to show if a set is closed or not closed?

Answer:

Player B.

Step-by-step explanation:

Player A has a mean score of 25.

Let's calculate Player B's mean score and compare it to Player A's.

23 + 27 + 28 + 22 + 25 / 5 = 125 / 5 = 25.

So, Player A and Player B have the same mean score.

This doesn't tell the scout which player is "better", so let's look at the variance.

The other statistic given for Player A is the standard deviation for their points. The given number is 4. Let’s calculate the standard deviation for Player B, and compare it to player A.

Recall that we add up the squares of the difference between each score and the mean, divide it by the total number of data, and square root that. So, the standard deviation for player B is sqrt(2^2 + 2^2 + 3^2 + 3^2 + 0^2 / 5) = sqrt (26/5) = sqrt (5.2) = 2.3.

Excellent. We have player A’s standard deviation, as well as player B’s standard of deviation. Since player B’s standard deviation is less than player A’s, it can be inferred that player B has more consistent results than player A, and the scout should get Player B.

Hope this helps!

Answer:

Step-by-step explanation:

Answer:

18.8

Step-by-step explanation:

Surface area=2*pi*r*(r+h)=2*pi*1*(3)=18.8

There are 30 possible combinations of teachers.

Given that at Tubman Middle School, there are 6 English teachers and 5 science teachers, to determine, if each student takes one English class and one science class, how many possible combinations of teachers are there, the following calculation must be performed:

To calculate possible combinations, the number of options A must be multiplied by the number of options B. Thus, the calculation would be as follows.

Therefore, there are 30 possible combinations of teachers.

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Answer:

C

Step-by-step explanation:

3(17x-6.5) =108

=17x-6.5=36

=17x =36 +6.5

= 17x=42.4

=x =2.5

Answer:

x= 2.5

Step-by-step explanation:

3(17x-6.5)=108

Divide each side by 3

3/3(17x-6.5)=108/3

17x - 6.5 = 36

Add 6.5 to each side

17x-6.5+6.5=36+6.5

17x = 42.5

Divide by 17

17x/17 = 42.5/17

x= 2.5

Answer:

71.9

Step-by-step explanation:

Whenever you want to round a number to a particular digit, look only at the digit immediately to its right. For example, if you want to round to the nearest tenth, look to the right of the tenths place: This would be the hundredths place digit. Then, if it is 5 or higher, you get to add one to the tenths digit.

After rounding 71.916476787 to 1 decimal place we get 71.9.

We round numbers to get an approximate value of the given number in more compact form and which is easy to work with.

According to the given question we have to round 71.916476787  to 1 decimal place.

So, to round 71.916476787 to 1 decimal place we'll look at the digit of 2 decimal place here in this number it is 1 hence it is less than 5 so we can make all the digits after 1 decimal places zero and rewrite this number as

71.900000000 and we know zeroes are meaning less to the right of the decimal so this can be written as 71.9.

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Answer:

One-half

Step-by-step explanation:

Given

Exponential function

Required

The initial value that shrinks the function by [tex]50\%[/tex]

An exponential function is represented as:

[tex]y = ab^x[/tex]

Where the growth function is:

[tex]r = b^x[/tex]

[tex]a \to[/tex] initial value

For the growth function to shrink by x%, then:

[tex]a =1 - x\%[/tex]

In this case; x = 50. So, we have:

[tex]a =1 - 50\%[/tex]

Express as fraction

[tex]a =1 - \frac{50}{100}[/tex]

Take LCM

[tex]a =\frac{100 -50}{100}[/tex]

[tex]a =\frac{50}{100}[/tex]

Reduce fraction

[tex]a =\frac{1}{2}[/tex]

Answer:

It's D on edge :D

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

The alphabets Z, H, S, N and O have rotational symmetry.

Step-by-step explanation:

<TOS=122° [being vertically opposite angle]

Answer:

angleTOS =122°

EXPLANATION:

[ If two straight lines intersect at point O, vertically opposite angles are equal]As vertically opposite angles are equal; Hence AngleTOS=QOR=122°

Answer:

            Boys          Girls               Total

Walk      19              22                   41

Bus        23              10                   33

Cycle     40             56                   96

Total      82              88                  170

Answer:

0.00065104166

Step-by-step explanation:

Answer:

5.41 m

Step-by-step explanation:

First, let's find a side length by taking the square root of the area.

117/64 ^ 1/2 = 1.352...

Next, we need to multiply by 4.

1.352... x 4 = 5.408...

= approximately 5.41

Answer:

Is E

explanation:

Answer:

Area of parallelogram = 21

Step-by-step explanation:

A = BH

Plug in

A = 7×3

Solve

A = 21

The answer will be 21.

Answer:

No

Step-by-step explanation:

x^3• x^3•x^3

We add the exponents

x^(3+3+3) = x^9

x^3•3•3 x^3 *9

9x^3

These are not equal unless

x^9 = 9x^3

Answer: C. 6x+18

Step-by-step explanation:

Use the distributive property

First multiply 6 times x which is 6x

Then multiply 6 times 3 which is 18

Keep the sign the same

Therefore, this should give you 6x+18

Answer:

B847,030

Step-by-step explanation:

y=95,000(1.2)^x

2025 - 2013 = 12

y=95,000(1.2)^12

y=847029.54258

Step-by-step explanation:

= 4x-x+5x+1+8-2

=8x+7

proved##

Answer:

Step-by-step explanation:

this may or may not be right but I tried my best

Answer:

-10

Step-by-step explanation:

Answer:

56 litres

Step-by-step explanation:

let x be the amount when the container is full.

1/8x + 35 = 3/4x

-5/8x = -35

x = 56

Answer:

C=20

Step-by-step explanation:

The value of x is 20. so option C is correct.

In literal sense, corresponding means pair wise sides. Like the right corner sides of two triangles etc.

For two similar figures, the pair by pair similar sides of those two similar figures are called corresponding sides. They are of same measurement.

Find the length of x. Let Assume the triangles are similar.

x/ 12 = 10/ 6

Cross multiplication;

x/ 12 = 10/ 6

x = 12 ( 10/ 6)

x = 20

Hence, the value of x is 20. so option C is correct.

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Answer:

Here's the answers

Step-by-step explanation:

1. When two variables are in relation with a formula or a variable is related by the sum of two or more variables, then it is a partial variation. X = KY + C (where K and C are constants) is a straight line equation which is an example of partial variation.

2. The formula y=kxn y = k x n is used for direct variation. The value k is a nonzero constant greater than zero and is called the constant of variation.

Answer:

A and B

Step-by-step explanation:

A and B are the correct options

Answer:

umm answer is 3 i think is this right?

0

Answer:

8 inches

Step-by-step explanation:

A rhombus is a four sides quadrilateral with the four sides equal in length

A rhombus has 4 equal sides and the diagonal bisect at right angles

Adjacent sides = 9/2 = 4.5

we are to determine the value of the hypotenuse given the adjacent side and angle (108/2) = 54

Cos 54 = adjacent / hypotenuse

0.58778 = 4.5 / hypotenuse

hypotenuse = 4.5 / 0.58778

=7.6559

= 8 inches

The coldest time of day in Mumbai is 5 hours after midnight.

Since the average temperature t hours after midnight in Mumbai, India, is given by:

T(t)=24.5-5.5sin((2pi(t+1))/24)

We have that

T(t) = 24.5 - 5.5sin((2π(t+1))/24)

The coldest time of day is when T(t) is minimum.

T(t)  is minimum when 5.5sin((2π(t+1))/24) is minimum where t is the coldest time of day at minimum temperature, T(t).

Since for a sine function, -1 ≤ sinФ ≤ 1, the minimum value of sinФ = -1.

So, T(t) = 24.5 - 5.5sin((2π(t+1))/24) is minimum when

5.5sin((2π(t+1))/24) is minimum.

Also, -5.5sin((2π(t+1))/24) = 5.5 × -1 at minimum temperature T(t)

So, 5.5 × -1 = 5.5 × -sin((2π(t+1))/24)

So, -sin((2π(t+1))/24) = -1

sin((2π(t+1))/24) = 1

Taking inverse sine of both sides, we have

sin⁻¹sin((2π(t+1))/24) = sin⁻¹(1)

((2π(t+1))/24) = π/2

Multiplying both sides by 24, we have

(2π(t+1))/24 × 24 = π/2 × 24

(2π(t+1)) = 12π

Dividing both sides by 2π, we have

2π(t+1)/2π = 12π/2π

t + 1 = 6

t = 6 - 1

t = 5 hours

So, the coldest time of day in Mumbai is 5 hours after midnight.

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Step-by-step explanation:

Disclaimer: When writing this on the paper use the theta symbol, I'm using x since I'm on mobile.

2.

i).

[tex] \sin(x) \tan(x) \sec(x) = \tan {}^{2} (x) [/tex]

[tex] \sin(x) \sec(x) \tan(x) = \tan {}^{2} (x) [/tex]

[tex] \sin(x) \frac{1}{ \cos(x) } \tan(x) = \tan {}^{2} (x) [/tex]

[tex] \frac{ \sin(x) }{ \cos(x) } \tan(x) = \tan {}^{2} (x) [/tex]

[tex] \tan( x) ) \tan(x) = \tan {}^{2} (x) [/tex]

[tex] \tan {}^{2} (x) = \tan {}^{2} (x) [/tex]

iii).

[tex] \sec {}^{2} (x) (1 - \sin {}^{2} ( x ) ) = 1[/tex]

[tex] \sec {}^{2} (x) ( \cos {}^{2} (x) ) = 1[/tex]

[tex] \frac{1}{ \cos {}^{2} (x) } \cos {}^{2} (x) = 1[/tex]

[tex]1 = 1[/tex]

v).

[tex] \cot {}^{2} (a) - \cos {}^{2} (a) = \cot {}^{2} (a) \cos {}^{2} (a) [/tex]

[tex] \frac{ \cos{}^{2} (x) }{ \sin {}^{2} (x) ) } - \cos {}^{2} (x) [/tex]

Factor out cosine

[tex] \cos {}^{2} (x) ( \frac{1}{ \sin {}^{2} (x) } - 1) [/tex]

Simplify

[tex] \cos {}^{2} (x) ( \frac{1 - \sin {}^{2} (x) }{ \sin(x) } [/tex]

[tex] \cos {}^{2} (x( \frac{ \cos {}^{2} (x) }{ \sin {}^{2} (x) } ) = [/tex]

[tex]( \cos {}^{2} ( x ) ( \cot {}^{2} (x) )[/tex]