A water park keeps track of the number of times each visitor goes down water slides during their visit . The data shows the number of times 12 visitors went down a water slide.

4, 22, 16, 10, 11, 20, 20, 12, 6, 3, 11, 1



Create a histogram of this data.

To create a histogram, hover over each age range on the x-axis. Then click and drag up to plot the data.

Answer:

Step-by-step explanation:

The steps are more or less the same, except for one new addition:

Divide the tens column dividend by the divisor.

Multiply the divisor by the quotient in the tens place column.

Subtract the product from the divisor.

Bring down the dividend in the ones column and repeat.

Answer:

The solution of this trigonometric identity is [tex]\theta = 56.310^{\circ} \pm 180\cdot i ^{\circ}[/tex], [tex]\forall \,i\in \mathbb{N}_{O}[/tex].

Step-by-step explanation:

Let [tex]7\cdot \tan \theta - 8 = 5\cdot \tan \theta -5[/tex], we proceed to simplify the expression and solve afterwards either by algebraic or by trigonometric means:

[tex]7\cdot \tan \theta -8 = 5\cdot \tan \theta -5[/tex]

[tex]2\cdot \tan \theta = 3[/tex]

[tex]\tan \theta = \frac{3}{2}[/tex]

[tex]\theta = \tan^{-1} \frac{3}{2}[/tex]

The tangent is a trigonometric function with a period of 180°. Hence, we find that the family of angles associated with such value is:

[tex]\theta = 56.310^{\circ} \pm 180\cdot i ^{\circ}[/tex], [tex]\forall \,i\in \mathbb{N}_{O}[/tex]

Answer: = 16

Step-by-step explanation: Hope this help :D

Answer:

(1/36)^n=216

(1/2^2 * 3^2)^n=216

n=-3/2

Step-by-step explanation:

I'm smart

Answer:28% of classmates chose chocolate over vanilla28%

Step-by-step explanation: hope this helps

Answer:

aaaa

Step-by-step explanation:

Answer:

h(2) = 2

h(5) = -7

Step-by-step explanation:

h(n)=8-3n

h(1)=8-3(1) = 5

h(2)=8-3(2) = 2

h(5) = 8-3(5) = 8-15 = -7

Answer:

5

Step-by-step explanation:

Answer:

2. B. 30 sq yd

Step-by-step explanation:

[tex]area = area \: of \: triangle \: + \: area \: of \: parallelogram \\ but \: area \: of \: parallelogram = area \: of \: rectangle - area \: of \: two \: small \: triangles \\ = (4 \times 8) - 2( \frac{1}{2} \times 3 \times 4) \\ = 32- 12 \\ = 20 \: sq \: yards \\ area = (\frac{1}{2} \times 5 \times 4) + 8 \\ = 10 + 20 \\ = 30 \: sq \: yards[/tex]

Answer:

The area of shaded figure is 30 sq yards .

Step-by-step explanation:

In the graph the figure is consist of :

To calculate the area of shaded figure we need to find the area of triangle and parallelogram and combine them to get the area of shaded figure.

Finding the area of triangle:-

Area of triangle = ½ × Base × Height

Area of triangle = ½ × 5 × 4

Area of triangle = ½ × 20 yard²

Hence, the area of triangle is 10 sq yards.

Finding the area of parallelogram :

Here, to calculate the area subtract the area of two small circle from the area of rectangle .

Area of parallelogram = l × b - 2 (( b × h )½)

Area of parallelogram = 4 × 8 - 2 ( 3 × 4 × ½)

Area of parallelogram = 32 - 12.

Area of parallelogram = 20 sq yards.

Hence, Area of parallelogram = 20 sq yards.

Area of figure = Area of parallelogram + Area of triangle.

Area of figure = 20 sq yards + 10 sq yards.

Area of figure = 30 sq yards .

Hence,

The area of shaded figure is 30 sq yards .

Answer:

4

Step-by-step explanation:

Since its a 45-45-90 triangle then the 2 legs are going to be the same.

Answer:

90°

Step-by-step explanation:

Always remember that the sum of all angles is 180°.

So there are two 45° angles, so just add them up and you get 90

So if you subtract 90 from 180, you get 90, and that's your answer

Answer:

5 9/11

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

Answer:

42: 1, 2, 3, 6, 7, 14, 21, 42

43: 1, 43

Step-by-step explanation:

Answer:

The third statement is true.

2.5t + 4 = 6.5 (in. of snow)

Answer:

I think its the first one

Step-by-step explanation:

Answer:

This problem is acually really simple.

Step-by-step explanation:

all you have to do is replace the a with a 3. SO It would look like this:

g(x)=3f(x)

hope this helps :)

The equation of the function g(x) is g(x) = 3f(x) or g(x) = 3e^x

The function f(x) is given as:

f(x)= e^x

The function is stretched by a factor of 3 to get the function g(x)

This means that:

g(x) = 3 * f(x)

Evaluate the product

g(x) = 3f(x)

Hence, the equation of the function g(x) is g(x) = 3f(x) or g(x) = 3e^x

Read more about function transformation at:

https://brainly.com/question/1548871

#SPJ2

Answer:

Step-by-step explanation:

Hello!

2*2* 5+ 2*2*4 =  

20 + 16 = 36 cm³

16x0.2=3.2

16+3.2=19.2

So the price is $19.20

Answer:

58degrees

Step-by-step explanation:

Given

tan^-1(1.6)

= tan^-1(16/10)

= tan^-1(8/5)

= 57.99 degrees

Hence the value of tan^-1(1.6) to the nearest degrees is 58degrees

Answer:

Step-by-step explanation:

Are you in Calculus?  These are calculus concepts!

To calculate the rate of change here you must specify an interval, e. g., "what is the rate of change on the interval (0, 3)?"

If you know calculus:  The 'rate of change' on the interval (a, b) is

                f(b) - f(a)

r. of c. = --------------------

                    b - a

Have you used this formula before?

Because of the 'x^2' term this is NOT a linear function.

If you want more explanation, provide an interval on which you want the average rate of change and ask specific questions of your own.

Answer:

The value of the tangent is [tex]-\frac{4}{5}[/tex].

Step-by-step explanation:

Let be [tex]A(x,y) = (-10, 8)[/tex] on the terminal side of an angle in standard position and let be [tex]O(x,y)[/tex] the origin of the angle and the origin of the Cartesian plane. By definition of tangent, we make use of the following expression:

[tex]\tan \theta = \frac{y_{A}-y_{O}}{x_{A}-x_{O}}[/tex] (1)

Where:

[tex]x_{A}, x_{O}[/tex] - x-Coordinates of point A and point O.

[tex]y_{A}, y_{O}[/tex] - y-Coordinates of point A and point O.

If we know that [tex]x_{A} = -10, x_{O} = 0[/tex], [tex]y_{A} = 8[/tex] and [tex]y_{O} = 0[/tex], then the value of the tangent is:

[tex]\tan \theta = \frac{y_{A}-y_{O}}{x_{A}-x_{O}}[/tex]

[tex]\tan \theta = \frac{8-0}{-10-0}[/tex]

[tex]\tan \theta = -\frac{4}{5}[/tex]

Answer:

3/5

Step-by-step explanation:

Answer:

66%

Step-by-step explanation:

0.6 repeating is 66%.

From decimal to percent:

To get a percent from a decimal number, move the decimal over twice to the right. In this case, 0.66 would become 66% because the decimal moved to the right twice.

From decimal to fraction to percent:

I already know that 2 divided by 3 is 0.6 repeating. 2 divided by 3 could also be written as [tex]\frac{2}{3}[/tex]. So the first step is complete, from the decimal 0.6 repeating to the fraction [tex]\frac{2}{3}[/tex]. Now from [tex]\frac{2}{3}[/tex] to a percent. If you get a 2 out of 3 ([tex]\frac{2}{3}[/tex]) you would get a 66%.

Hope this helps! Please vote me as Brainliest. Let me know if you need more of an explanation. Hope it's not too late. Good luck with whatever you are doing! Have an amazing day!

Answer:

x = 95 degrees

Step-by-step explanation:

First find the missing angle next to 142 (we will call it y)

y +142 = 180

subtract 142 from both sides

y = 38 degrees

then we know a triangle must have 180 degrees

so

47+38+x = 180

subtract 47 and 38 from 180

x = 95

hope this helps and makes sense :)

Answer:

decrease/decrease.

Step-by-step explanation:

both will decrease in quantity due to lack of food from the primary producer. Once the prey reduces, it affects the population of the predator.

Answer:

60 inches = 5 feet.

Step-by-step explanation:

12 inches in one foot, 12 x 5 = 60, meaning it would be 68 inches high

Answer:

Step-by-step explanation:

Its hard  to tell the width and length from this way, but here i got 104 square inches.

Answer:

5

Step-by-step explanation:

5+(x-2)=8

5+x=10

x=5

Answer: x=5

Step-by-step explanation:

Answer:

It is a geometric sequence.

[tex]common \ ratio , r = \frac{12}{-4}=-3[/tex]

[tex]a_n = a_1 \times r^{n-1} \\n = 16\\r = -3\\a_1 = -4\\a_{16 }= -4 \times (-3)^{15} = -4 \times 14348907 =57395628[/tex]

Answer:

that would be 0 lines for symmetry

Answer:

B

Step-by-step explanation:

A parallelogram has no line of symmetry but has rotational symmetry of order 2

Answer:

The answer is 4.725

Step-by-step explanation:

Answer:

4.725 is the correct answer

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

Rows: 7+7+7+7+7=35

Columns: 5+5+5+5+5+5+5=35