A fair six-sided die is rolled 66 times. Theoretically, about how many times should a roll of "6 occur?​

Answer:

x = 6/5  x = -2

Step-by-step explanation:

|5x+2| = 8

There are 2 solutions

5x+2 = 8   and 5x+2 = -8

Subtract 2 from each side

5x+2 -2 = 8-2    and 5x+2-2 = -8-2

5x= 6                           5x = -10

Divide by 5

5x/5 = 6/5                        5x/5 = -10/5

x = 6/5                                  x = -2

Answer:

b

Step-by-step explanation:

|5x+2|=8

1) |5×(-2)+2|=8

|-10+2|=8

|-8|=8

8=8

2) |5×6/5+2|=8

|6+2|=8

|8|=8

8=8

Answer:

First option

Remove 2 tiles

The solutions are:

sin(a)  = 24/25

tan(a) = 24/7

For a given point (x, y) and an angle "a" measured counterclockwise from the positive x-axis to a ray that connects the origin with our point, we can think on the situation as a triangle rectangle.

Where the ray is the hypotenuse, the x-component is the adjacent cathetus, and the y-component is the opposite cathetus.

So we have:

x = adjacent cathetus

y = opposite cathetus

h = hypotenuse = √(x^2 + y^2)

Then the trigonometric relations become:

cos(a) = x/√(x^2 + y^2)

sin(a) = y/√(x^2 + y^2)

tan(a) = y/x

Now, we know that we have:

cos(a) = 7/25

then we can see that:

x = 7

and

h = 25 = √(7^2 + y^2)

We can solve the above equation for y:

25 = √(7^2 + y^2)

25 = √(49 + y^2)

25^2 = 49 + y^2

625 - 49 = y^2

√576 = y = 24

Then we have:

x = 7

y = 24

h = 25

Now we can return to our known trigonometric relations and get:

sin(a) = y/√(x^2 + y^2) = 24/25

tan(a) = y/x = 24/7

If you want to learn more about trigonometry, you can read:

https://brainly.com/question/14746686

Answer:

5

Step-by-step explanation:

median means the number in the middle

Answer:

R = [tex]\left[\begin{array}{ccc}-3&-2\\1&-3\\\end{array}\right][/tex]

Step-by-step explanation:

P - Q + R = I ( I is the identity matrix )

[tex]\left[\begin{array}{ccc}2&4\\3&5\\\end{array}\right][/tex] - [tex]\left[\begin{array}{ccc}-2&2\\4&1\\\end{array}\right][/tex] + R = [tex]\left[\begin{array}{ccc}1&0\\0&1\\\end{array}\right][/tex] ( subtract corresponding elements )

[tex]\left[\begin{array}{ccc}2-(-2)&4-2\\3-4&5-1\\\end{array}\right][/tex] + R = [tex]\left[\begin{array}{ccc}1&0\\0&1\\\end{array}\right][/tex]

[tex]\left[\begin{array}{ccc}4&2\\-1&4\\\end{array}\right][/tex] + R = [tex]\left[\begin{array}{ccc}1&0\\0&1\\\end{array}\right][/tex]

R = [tex]\left[\begin{array}{ccc}1&0\\0&1\\\end{array}\right][/tex] - [tex]\left[\begin{array}{ccc}4&2\\-1&4\\\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}-3&-2\\1&-3\\\end{array}\right][/tex]

Answer:

a. What is the explanatory variable (independent variable)? (1 point)

Number of fans sold.

b. What is the response variable (dependent variable)? (1 point)

Outside temperature.

c. Circle the best range for the correlation coefficient. (1 point)

(–1 to –0.7) (–0.7 to –0.3) (–0.3 to 0) (0 to 0.3) (0.3 to 0.7) (0.7 to 1.0)

d. Based on this scatterplot, does a rise in temperature cause more fans to be sold? Why or why not? (3 points)

Yes because a rise in temperature causes fan sales to go up because people buy fans when it’s hot to cool off.

Step-by-step explanation:

I got it right on AP3X. Hope this helps!

Answer:

[tex]y = - \frac{3}{2} x + 1[/tex]

Step-by-step explanation:

Slope -intercept form: y= mx +c, where m is the slope and c is the y-intercept.

Parallel lines have the same slope. Let's find the slope of the given line.

Given points: (-2, 0) and (0, -3)

[tex]\boxed{slope = \frac{y1 - y2}{x1 - x2} }[/tex]

slope of given line

[tex] = \frac{0 - ( - 3)}{ - 2 - 0} [/tex]

[tex] = \frac{0 + 3}{ - 2} [/tex]

[tex] = - \frac{3}{2} [/tex]

[tex]y = - \frac{3}{2} x + c[/tex]

Given that the y- intercept is 1, c= 1.

[tex]y = - \frac{3}{2} x + 1[/tex]

Answer:

65

Step-by-step explanation:

Exterior angle = Sum of 2 interior angles

x + 31 = x + x - 34

x + 31 = 2x - 34

x - 2x = - 34 - 31

- x = - 65

x = 65

Step-by-step explanation:

A triangle's angles add up to 180°, and a straight line is 180 degrees, so 180 - x + 31 is the interior angle that isn't labeled.

[tex]x+x-34+180-x-31=180[/tex]

[tex]x=180-115[/tex]

[tex]x=65[/tex]

Answer:

-25

Step-by-step explanation:

Withdrawal means to take out. So you're taking out $25 out of your account, therefore it would be a negative.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The integer to represent a withdrawal of $25 would be -$25.

Option A is the correct answer.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Amount withdrawal = $25

The integer to represent a withdrawal of $25 would be -$25.

Because withdrawal means we are taking the amount out of our account.

Thus,

The integer to represent a withdrawal of $25 would be -$25.

Option A is the correct answer.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

Answer:

1536 cm^2 be the correct answ

Answer: Option 2

1536cm²

Lateral Area=32×(24/2)×4

=1536 (cm²)

Answered by Gauthmath must click thanks and mark brainliest

Answer:

C.) [tex]350\pi[/tex] [tex]cm^{2}[/tex]

Step-by-step explanation:

Since we are given the radius of the cone's base and the slant height, we can use the following equation to solve for surface area:

[tex]A = \pi r^{2} + \pi rl[/tex]

Now we just plug in the given information and solve:

[tex]A = \pi (10cm)^2 + (\pi) (10cm)(25cm)\\A = 100\pi cm^2 + 250\pi cm^2\\A = 350\pi cm^2[/tex]

Answer:

[tex]x+3y\leq 0[/tex]        

[tex]x-y\geq 0[/tex]

[tex]1) x+3y=0[/tex]

[tex]x-y=0[/tex]

[tex]-----[/tex]

[tex]4y=0[/tex]

[tex]y=0[/tex]

[tex]x=0[/tex]

[tex](0,0)[/tex]

[tex]2)(x+3y=0)3[/tex]

[tex]3x-7y=16[/tex]

[tex]3x+9y=0[/tex]

[tex]3x-7y=16\\------\\16y=-16[/tex]

[tex]y=-1[/tex]

[tex](3,-1)[/tex]

[tex]3)(x-y=0)3[/tex]

[tex]3x-7y=16[/tex]

[tex]3x-3y=16[/tex]

[tex]3x-3y=0[/tex]

[tex]3x-7y=16\\------\\4y=-16[/tex]

[tex]y=-4[/tex]

[tex]x=4[/tex]

[tex](4,-4)[/tex]

[tex]Z=-x+5y[/tex]

[tex](0,0):z=0[/tex]

[tex](3,-1):z=-8[/tex]

[tex](4,-4):z=-24[/tex]

[tex]Maximum \:Value\: of\: z:0[/tex]

[tex]Minimum\: Value\: of\: z:-24[/tex]

OAmalOHopeO

Answer:

x=44

Step-by-step explanation:

20/x=30/22+x

20x+440=30x

440=10x

x=44

Answer:

1/4

Step-by-step explanation:

2/5 divided by 8/5 is the same as 2/5 * 5/8. we cross out the same 5's to get 2/8. We simplify that to 1/4.

1/4 is our answer.

Replace x with 3 and solve:

10 x 5^3

Simplify:

10 x 125 = 1250

Answer: y = 1250

(3 , 1250)

I got it right on my test.

Answer:

Step-by-step explanation:

Given linear equation is,

y = [tex]\frac{2}{3}x[/tex]

t-chart Or table for the input-output values,

y       -2          0          2            4  

x       -3          0           3            6

Now we have to plot the ordered pairs given in the table,

(-3, -2), (0, 0), (3, 2), (6, 4)

Answer:

Step-by-step explanation:

if you connect the 2 pointy parts of this shape at the top, what you have is a square. That means that the cut out part is a half circle. To find the area of the shaded portion, subtract the area of the half circle from the area of the square. Let's start with the square, cuz that's the super easy one.

A = s*s so

A = 64 in squared.

Now for the half circle. Let's just do this: let's find the area of the whole circle and then cut it in half, how about?

If the length of one of the sides is 8, then half that length is 4, right? Since the circle is touching the sides of the square, the diameter of the circle is the same as the measure of the side of the square. That means that the radius is 4. The area for the circle is

[tex]A=\pi r^2[/tex] and filling in:

[tex]A=(3.14)(4^2)[/tex] so

A = 50.24 in squared. Divide that in half and the area of half the circle is 25.12 in squared.

Subtract 25.12 from 64 to get 38.88 in squared

Step-by-step explanation:

Using R, I used the following code to create a histogram:

bowling.scores <- c(87, 104, 79, 94, 117, 82, 72, 116, 105, 95, 88, 93, 109, 119, 75,  

                   103, 112, 97, 73, 85, 91, 86, 102, 99, 106, 84, 98, 83, 81, 96, 92)

data.frame(bowling.scores)

ggplot(data.frame(bowling.scores), aes(x=bowling.scores)) +  

 xlim(c(70, 120)) +

 scale_y_continuous(breaks = seq(0, 10, by=1), "Frequency") +

 geom_histogram(breaks=seq(70, 120, by=10), color="black", fill="grey60") +

 labs(title="Histogram of Bowling Scores", x="Bowling Scores", y="Frequency")

Answer:

44

Step-by-step explanation:

the smaller triangle is multiples of 9

(9, 18, 27, 36, 45, etc.)

and the bigger triangle is multiples of 11

(11, 22, 33, 44, 55, etc.)

Answer:

44

Step-by-step explanation:

22÷18=11/9

33÷27=11/9

x÷36=11/9

x=11/9×36

x=44

Answer:

∠ L ≈ 52°

Step-by-step explanation:

Using the cosine ratio in the right triangle

cosL = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{LM}{LN}[/tex] = [tex]\frac{8}{13}[/tex] , then

∡ L = [tex]cos^{-1}[/tex] ([tex]\frac{8}{13}[/tex] ) ≈ 52° ( to the nearest degree )

Answer:

Step-by-step explanation:

Answered by Gauthmath

Answer:

Step-by-step explanation:

I'm going to use Physics here for this concept of vectors. Here are some stipulations I have set for the problem (aka rules I set and then followed throughout the problem):

** I am counting the 50 m as 2 significant digits even though it is only 1, and I am counting 200 as 3 significant digits even though it is only 1. 1 sig dig doesn't really give us enough accuracy, in my opinion.

** A bearing of .25 degrees is measured from the North and goes clockwise; that means that measured from the x axis, the angle is 89.75 degrees. This is the angle that is used in place of the bearing of .25 degrees.

** Due east has an angle measure of 0 degrees

Now let's begin.

We need to find the x and y components of both of these vectors. I am going to call the first vector A and the second B, while the resultant vector will be C. Starting with the x components of A and B:

[tex]A_x=50cos(89.75)[/tex] so

[tex]A_x=.22[/tex]

[tex]B_x=200cos(0)[/tex] so

[tex]B_x=200[/tex] and we need to add those results together. Due to the rules for adding significant digits properly, the answer is

[tex]C_x=200[/tex] (and remember I am counting that as 3 sig fig's even though it's only 1).

Now for the y components:

[tex]A_y=50sin(89.75)[/tex] so

[tex]A_y=50[/tex] (which I'm counting as 2 sig fig's)

[tex]B_y=200sin(0)[/tex] so

[tex]B_y=0[/tex] and we need to add those results together.

[tex]C_y=50[/tex]

Now for the resultant magnitude:

[tex]C_{mag}=\sqrt{(200)^2+(50)^2}[/tex]  and that gives us a final magnitude of

[tex]C_{mag}=206[/tex] m

Now for the angle:

Since both the x and y components of the resultant vector are in quadrant 1, we don't need to add anything to the angle to get it right, so

[tex]tan^{-1}(\frac{50}{200})=14[/tex]

The girl is 206 meters from her starting point at an angle of 14 degrees

Answer:

In 26 seconds to complete a transaction, 2 products are being purchased.

Step-by-step explanation:

1 item  = 9 seconds

Time taken in all to check out = 8 seconds

Time taken to shop = 26 seconds

Now as check out process takes 8 seconds, so the

Time left to ACTUALLY SHOP =  Total Time  - Time Used to check out

                                                  = 26 seconds = 8 seconds = 18 seconds

Shopping of 1 item = 8 seconds

Shopping of 2 items  = 2 x ( Time taken in 1 item) = 2 x  9 = 18 seconds

So, in 18 seconds, 2 clothing item can be selected.

Hence,in 26 seconds to complete a transaction, 2 products are being purchased.

Answer:

B. 16

Step-by-step explanation:

You can find it by subtraction.

for example:

70-54=16

54-38=16

22-6=16

and so on

Answer:

( 5.5 , 4 )

Step-by-step explanation:

Use mid point formula shown in image

first x= (X+X)/2

x=(4+7)/2

x=11/2

x=5.5

y=(Y+Y)/2

y=(2+6)/2

y=8/2

y=4

(5.5,4)