the following list contains the number of movies That a group of 8 students saw in theaters in the past 12 months.
7,11,14,6,16,11,11,18
Find the median number of movies that the students saw.

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Answer: 5

Step-by-step explanation: I took the test

Answer:

The answer to your problem is, D. The range is the best measure of variability, and it equals 32.

Step-by-step explanation:

We know the scores earned in a flower-growing competition are represented in the stem-and-leaf plot.

The key will equal 2|1 means 21

Which we conclude to 17, 19, 21, 25, 29, 30, 31, 32, 46, 49.

Quartile:

Median, Minimum, Maximum, & Range:

Thus the answer to your problem is, D. The range is the best measure of variability, and it equals 32.

Answer:

a = 6

Step-by-step explanation:

Given information:

Slope = 6

Coordinates: (-9, 0) and (-8, a)

Slope formula = y2 - y1 / x2 - x1

Substitute the given values into the formula.

6 = a - 0 / -8 - (-9)

6 = a - 0 / 1

6 = a - 0

a = 6

hope this helps!! p.s. i really need brainliest :)

Answer:

i don't have any paper by me but it would be the line starting on 2 on the Y axis (line that goes up and down) and then going diagonal by one square (essentially up one unit and right one unit)

Step-by-step explanation:

2+x is basically x+2

since x is by itself in slope form is represents 1/1 as a fraction, and in slope form 2 represents the Y axis

did my best to explain sorry hope this helped!!

The probability that a randomly selected point within the square falls in the red shaded square is 1/16

A probability is a number that reflects the chance or likelihood that a particular event will occur. The certainty of an event to occur is 1 and it is 100% in percentage.

Probability = sample space /total outcome

sample space is the area of the red shaded square and the total outcome is the big square.

Area of red shaded square = 1 × 1 = 1unit²

area of the big square = 4 × 4 = 16 units²

Therefore the probability that a point selected falls on the red shaded square

= 1/16

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Answer:

Graph 2

Step-by-step explanation:

We are given the inequality x≤2

First off, with the inequality sign being ≤ rather than <, we know that 2 is also included. This means that x can be equal to 2 or less than 2.

Since 2 is included, we know we are looking for a solid line.

That said, we can eliminate the 1st and 4th graphs because there is a dotted line at 2, meaning that 2 is not included.

Next, based on the inequality sign, we know that values less than 2 satisfy it. So judging by the shaded region on each graph, we see that Graph 2 is the one that satisfies it.

For clarity's sake, one trick you can use is thinking of the inequality sign as an arrow. If it points left, values toward the left should be shaded and vice versa.

Lastly, I'll give you the inequality for each graph.

Graph 1: x<2

Graph 2: x≤2

Graph 3: x≥2

Graph 4: x>2

Hope that helps, let me know if you have any questions!

Answer:

its the second one

Step-by-step explanation:

1. It is false that when non-Standard unit used is small few unit's are

needed .

2. Objects with different shapes can have the same volume. True

3. Length, width and height and multiplied to find volume of a rectangular prism. True

4. It is false that volume is measured in square unit.

5. It is true that Volume is a measure of the amount of space inside an object.

6. The formula for volume of a rectangular prism is V = l × w × h. True

7. It is true that Standard units give a consistent and accurate measure of a container.

8. It is false that Non-Standard units cannot be used to measure volume.

9. Volume is measured in cubic units. True

Volume can be defined as the amount of space inside and object. the object can be in different form such as cone, rectangular prism, cylinder and many other shapes. Even though shapes are different, It is possible for different shapes or objects to have the same volume when measure.

Measurement of volume can be through standard measurement and non standard measurements such as a cup of rice. However, for consistency and the sake of accuracy, it is advisable to always use standard measurements of volume where possible to avoid error that may occur in non standard measurement. The acceptable and recognized unit of volume is cubic meter (\(m^3\)).

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The value of tan 2π/3 without calculator is -√3.

The value of tan 2π/3 without calculator is calculated by applying trig identities as follows;

the value of π = 180 degrees

So we can replace the value of π in the function with 180 degrees as follows;

tan ( 2π / 3) = tan (2 x 180 / 3)

tan (2 x 180 / 3) = tan (2 x 60)

tan (2 x 60) = tan (120)

tan (120) if found in the second quadrant, and the value will be negative since only sine is positive in the second quadrant.

tan (120) = - tan (180 - 120)

= - tan (60)

= -√3

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Answer:

Step-by-step explanation:

(x² − 8x + 20) ÷ (x − 4)

x - x²/4 - 8 - 8x/4 + 20/x - 20/5

x - x²/4 - 8 - 2x + 20/x - 4

-x - x²/4 + 20/x -12

...don't know, keep going

The number of bears that the researcher should be expected to see in the larger central Pennsylvania forest with about 1,000 total animals is given as follows:

95 bears.

To obtain the number of bears in the larger forest, first we must obtain the proportion in the smaller forest.

The proportion is given by the number of bears divided by the total number of animals, both of these amounts given by the bar graph presented at the end of the answer.

The number of bears is given as follows:

20.

The total number of animals is given as follows:

20 + 70 + 30 + 90 = 210.

Meaning that the proportion of bears is of:

20/210.

Hence, out of 1000 animals, the expected number of bears is of>

20/210 x 1000 = 20000/210 = 95 bears.

The bar graph is given by the image presented at the end of the answer.

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The two composite functions have their values to be (w o s)(x) = 7x² - 49x + 33 and (s o w)(x) = (7x - 2)² - 7(7x - 2) + 5

Composite function 1

The given parameters are

w(x) = 7x - 2

s(x) = x² - 7x + 5

To calculate (w o s)(x), we make use of

(w o s)(x) = w(s(x))

So, we have

(w o s)(x) = 7s(x) - 2

Substitute s(x) = x² - 7x + 5

(w o s)(x) = 7(x² - 7x + 5) - 2

Expand

(w o s)(x) = 7x² - 49x + 35 - 2

Simplify

(w o s)(x) = 7x² - 49x + 33

Composite function 2

Here, we have

w(x) = 7x - 2

s(x) = x² - 7x + 5

To calculate (s o w)(x), we make use of

(s o w)(x) = s(w(x))

So, we have:

(s o w)(x) = w(x)² - 7w(x) + 5

Substitute w(x) = 7x - 2

(s o w)(x) = (7x - 2)² - 7(7x - 2) + 5

So, the composite functions are (w o s)(x) = 7x² - 49x + 33 and (s o w)(x) = (7x - 2)² - 7(7x - 2) + 5

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Answer:

2.4 × 10^-2

Step-by-step explanation:

You can do a sort of "undistributive" property and factor out the 10^-2 and then add the 1.2+1.2

1.2×10^-2 + 1.2×10^-2

= 10^-2(1.2 + 1.2)

= 10^-2(2.4)

= 2.4 × 10^-2

OR you can change from scientific notation to standard and add them and change back to sci. not. See image.

The correct statements regarding the transformations are given as follows:

Examples of transformations are given as follows:

Parallel lines are lines that have the same slope, that is, lines that do not intercept, and the transformations do not change whether the lines are parallel or not.

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Answer:

b < 3

Step-by-step explanation:

3 ( b - 5 ) < - 2b

3 ( b ) - 3 ( 5 ) < - 2b

3b - 15 < - 2b

3b + 2b < 15

5b < 15

b < 15/5

b < 3

Answer:

it would become 61

Step-by-step explanation:

the tenths place (.9) is greater or equal to five. if it follows the rule, the tens place (0) would increase by one.

In a case whereby Anu was checking her emails and she casually told her friend siting next to her the ratio of unread emails in my inbox is ratio 4:1 where the total number of emails is 120  then the number of unread emails in her inbox is 96mails.

The concept that will be used here is ratio. An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. For instance, you could express the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls)

The total mails in her box is 120

The we can represent the unread mails  as 4x and read mails be 1x

This can be expressed as :

(4x+1x)=120mails

5x=120mails

x=120/5

x=24

This implies that the uread mails(4×24)

=96mails

Then the number of the read mail =(1×24)=24mails

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Answer:

inch leanth of his room.

Value of base and hypotenuse of triangle are 9√3 and 18 respectively.

A right triangle is a triangle with one interior angle measuring 90 degrees, known as a right angle. The side opposite to the right angle is called the hypotenuse, and the other two sides are known as the legs of the right triangle. The length of the hypotenuse can be found using the Pythagorean theorem,  that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs.

Height of triangle=9

Base of triangle=y

Hypotenuse of triangle=x

Using trigonometric ratio

Sin30°=Height/Hypotenuse

½=9/x

x=18

Cos30°=Base/hypotenuse

√3/2=y/18

y=9√3

Hence, value of base and hypotenuse of triangle are 9√3 and 18 respectively.

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Answer:

Step-by-step explanation:

Answer:

Work out the Mean(the simple average of the numbers)

Then for each number: subtract the Mean and square the result.

Then work out the Mean of those squared differences.

Take the square root of that and we are done!

Step-by-step explanation:

Answer:

x=-1

Step-by-step explanation:

4x+35x-15=9x-45
39x-15=9x-45
39x-9x=-45+15
30=+-30
x=-1

Answer:

\( \sf \: x = - 1\)

Step-by-step explanation:

Given equation,

→ 4x + 5(7x - 3) = 9(x - 5)

Now the value of x will be,

→ 4x + 5(7x - 3) = 9(x - 5)

→ 4x + 35x - 15 = 9x - 45

→ 39x - 15 = 9x - 45

→ 39x - 9x = -45 + 15

→ 30x = -30

→ x = -30 ÷ 30

→ [ x = -1 ]

Hence, the value of x is -1.

The particular antiderivative that satisfies the given condition is: R(t) = -9/t² + 56.

Fundamental Theorem of Calculus is established how differentiation and integration relate via the Basic Theorem of Calculus. It asserts that the definite integral of f(x) from a to b is equal to the difference between F(b) and F(a), if a function f(x) is continuous on the interval [a, b] and F(x) is an antiderivative of f(x) on [a, b].

To find the antiderivative we get the integral as follows:

∫ dR/dt dt = ∫ 18/t³ dt

R(t) = ∫ 18/t³ dt

Using the power rule of integration, we get:

R(t) = -9/t² + C

Now, R(3) = 55, we substitute t = 3 and R = 55:

55 = -9/3² + C

55 = -1 + C

C = 56

Therefore, the particular antiderivative that satisfies the given condition is: R(t) = -9/t² + 56.

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Answer: 40 minutes

Step-by-step explanation:

2/5 = .4 so it would be 40 minutes

The limit doesn't exist (DNE).

Follow the pattern in the table. You have g (0.9) = 7, g (0.99) = 700, g (0.999) = 70,000 and so on. For every 10% increase in the value of x, the value of g(x) increases by a factor of 100. So as x gets closer to 1 (that is, as you add more 9s after the decimal point to x), g(x) will continue to increase by several magnitudes. The same thing effectively happens from the other side.

If we had only 1 bunch of bananas, we would have 1*5=5 bananas in total. If we had two bunches, there would be 2*5=10 bananas.

Therefore, if we had 4 bunches, we would have 4*5=20 bananas in total.

Thus, the answer is 20 bananas.

The value of x indicated in the right angle of EFG is determined as 36.

option D.

The value of x is calculated by applying the principle of sum of angles in a right angle triangle as follows;

A right triangle has a right angle and two angles that are complementary.

If angle EFG is a right angle, then the sum of angles at point F is 90 degrees.

The value of x is calculated by setting up the following equations;

2x + 6 + 12 = 90

2x + 18 = 90

2x = 90 - 18

2x = 72

x = 72/2

x = 36

Thus, the value of x is calculated by applying the principle of sum of angles in a right angle triangle.

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