A pair of dice was rolled many times
and the results appear below. Based
upon these results, what is the
experimental probability of rolling a 7?
Outcome
12
2 3 4 5 6 7 8 9 10 11
3 6 8 11 14 16 15 12 9 5 1
Frequency
The percent probability is = [? ]%
Round to the nearest percent.
Enter

Answer: r+7 is irrational

Step-by-step explanation:

1) If r is irrational, that means that it goes on and on forever.

2) 7 is a rational number because it can be expressed as a quotient of 2        integers (7÷1=7)

3) If you add a rational number to an irrational number it is still irrational. The numbers after the decimal point keep going and going. You are just changing the whole number, which if to the left of the decimal point.

Answer:

  6

Step-by-step explanation:

We want to factor the trinomial into a product of binomials. In general, we have ...

  (x +a)(x +b) = x² +(a+b)x +ab

So, the values of "a" and "b" need to have a product of 12. There are 6 ways to do that:

  12 = 1·12 = 2·6 = 3·4 = (-1)(-12) = (-2)(-6) = (-3)(-4)

The values of k are the sums of these factors of 12, so are

  1+12 = 13

  2+6 = 8

  3+4 = 7

  -1-12 = -13

  -2-6 = -8

  -3-4 = -7

There are 6 possible integer values of k that will make the trinomial factorable in integers:

  k ∈ {-13, -8, -7, 7, 8, 13}

Answer:

x = 80°

Step-by-step explanation:

from SOH CAH TOA

we are going for TOA

where TOA => Tan x = Opposite side of the Angle

                                      Adjacent Side of The Angle

Tan x = 27500

             5000

Tan x = 5.5

       x = Tan⁻¹ 5.5

                    or

            = arctan 5.5

            = 79.70°

            ≈ 80°

Answer:

x = 80°

Step-by-step explanation:

Answer:

aₙ= 6n+1

Step-by-step explanation:

7,13,19,25,31

Given, AP with the first term of 7, and common difference of 6

Nth term:

Answer:

a. 1/12 (hope it help)

Step-by-step explanation:

5sec/60sec=1/12

Answer:

2x3 + 6x2

Step-by-step explanation:

Answer:

A on edge

Step-by-step explanation:

Answer:

not possible

Step-by-step explanation:

The Law of Detachment is:

If p, then q. p is true. We can then conclude q is true.

For example:

If it rains, the grass gets wet. It is raining. Then the grass is wet.

In the problem in this post, it is not possible to use the Law of Detachment because we have:

If p then q. q is true. We are not told p is true, so we cannot conclude q is true.

Answer: not possible

Answer:

1

Step-by-step explanation:

Change 1/2 to 0.5.  Then, do the problem of 0.75-0.25+0.5.

Step-by-step explanation:

is your answer mate ......

Answer:

25 students

Step-by-step explanation:

Using the line of best fit, we want to deduce the number of students predicted to be in the marching band given that there are 35 in the concert band.

To deduce this, what we need to do is to go to the point where we have 35 on the concert band axis i.e the x-axis, then trace it upto the line of best fit.

Then from the line of best fit, now trace to the y-axis.

This gives an answer 25.

Answer:

[tex] \sqrt{ {x}^{2} - 1 } [/tex]

Solution,

base=1

perpendicular=?

hypotenuse=X

now,

using Pythagoras theorem,

x^2=p^2+b^2

or, x^2=p^2+1^2

or,p^2=x^2-1

or, p=√x^2-1

tan theta=perpendicular/ base

tan theta =√x^2-1/1

tan theta=√x^2-1

z=tan theta

z=√x^2-1

Hope this helps...

Good luck on your assignment..

Answer:

[tex]\sqrt{x^{2}-1}}[/tex].

Step-by-step explanation:

The tangent of theta means that you are trying to find opposite over adjacent.

You already have the value of the adjacent (1), so all you need to do is find the opposite. That would be the square root of the hypotenuse squared minus the adjacent squared.

The opposite would be sqrt(x^2 - 1^2) = [tex]\sqrt{x^{2}-1}}[/tex].

When you put it together, tan(theta) = [tex]\frac {\sqrt{x^{2}-1} }{1}[/tex]

That is [tex]\sqrt{x^{2}-1}}[/tex].

So, z, in terms of x, is [tex]\sqrt{x^{2}-1}}[/tex].

Hope this helps!

Answer:

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

Step-by-step explanation:

The given line segment has a midpoint at (3, 1) and goes through (2, 4), (3, 1), and (4, -2). We can use any two of the three points to calculate the equation of the line. Let us use the points (2, 4) and (4, -2)

Therefore the line goes through (2, 4) and (4, -2). The equation of a line passing through [tex](x_1,y_1)\ and\ (x_2,y_2)[/tex] is:

[tex]\frac{y-y_1}{x-x_1}=\frac{y_2-y_1}{x_2-x_1}[/tex].

Therefore the line passing through (2, 4) and (4, -2) has an equation:

[tex]\frac{y-y_1}{x-x_1}=\frac{y_2-y_1}{x_2-x_1}\\\frac{y-4}{x-2}=\frac{-2-4}{4-2}\\\frac{y-4}{x-2}=\frac{-6}{2}\\y-4=x-2(-3)\\y-4=-3x+6\\y=-3x+10[/tex]

Comparing with the general equation of line: y = mx + c, the slope (m) = -3 and the intercept on the y axis (c) = 10

Two lines are said to be perpendicular if the product of their slope is -1. If the slope of line one is m1 and the slope of line 2 = m2, then the two lines are perpendicular if:

[tex]m_1m_2=-1[/tex].

Therefore The slope (m2) of the perpendicular bisector of y = -3x + 10 is:

[tex]m_1m_2=-1\\-3m_2=-1\\m_2=\frac{1}{3}[/tex]

Since it is the  perpendicular bisector of the given line segment, it passes through the midpoint (3, 1). The equation of the perpendicular bisector is:

[tex]\frac{y-y_1}{x-x_1}=m\\\frac{y-1}{x-3}=\frac{1}{3}\\ y-1= \frac{1}{3}(x-3)\\ y-1=\frac{1}{3}x-1\\y=\frac{1}{3}x[/tex]

the equation, in slope-intercept form, of the perpendicular bisector of the given line segment is [tex]y=\frac{1}{3}x[/tex]

Answer:

I believe the answer is A. y = 1/3x

Step-by-step explanation:

Answer:

H = 3 handlers

There are 3 handlers in the show.

Step-by-step explanation:

Given;

Number of dogs in the show N = 18 dogs

Number of handler in the show H;

The number of dogs in the show was 6 times the number of handlers

N = 6H

H = N/6

Substituting the value of N;

H = 18/6

H = 3

There are 3 handlers in the show.

Answer:

H = 3 handlers

Step-by-step explanation:

Answer:

y intercept is -4 and the slope is 2. You can figure it out from there. Just make a graph

Step-by-step explanation:

Answer:

BF=16

Step-by-step explanation:

To find BF, (I will be calling it x) you need to use the equation

CF/FB=CE/EA Substitute

FB=x

24/x=18/12 cross multiply

18x=288 divide both sides by 18

x=16

FB=16

Hope this helps, if it does, please consider giving me brainliest, it will help me a lot.

Have a good day! :)

Answer:

b, d, e

Step-by-step explanation:

The distance between the center and each covertex is [tex]3[/tex] units.

Each focus is approximately [tex]2.65[/tex] units above or below the center.

The directrices are horizontal lines approximately [tex]6[/tex] units from the center on the major axis.

An ellipse is just a circular plane curve created by a geographical distances in such a manner that the sum of its lengths from two points is always the same.

The distance between the center and each covertex is [tex]3[/tex] units.

Each focus is approximately [tex]2.65[/tex] units above or below the center.

The directrices are horizontal lines approximately [tex]6[/tex] units from the center on the major axis.

Find out more information about ellipse here:

https://brainly.com/question/19507943?referrer=searchResults

Answer:

Length of AC = 6.67 miles

Step-by-step explanation:

Given:

Angel between B and C = 90°

Angel between A and C = 77°

AB = 1.5 miles

Find:

Length of AC

Computation:

Using trigonometric laws

Cos 77° =  Base / hypotenuses

0.225 = 1.5 / hypotenuses

hypotenuses = 6.67 miles

Length of AC = 6.67 miles

Answer:

Step-by-step explanation:

Answer:

3.53 inch

Step-by-step explanation:

area = 1/8 π r² with r=3 inch (half diameter)

= 9/8 π ≈ 3.534 inch²

Answer:

2.53 in,3.53 in

i hope this helps sorry if it doesn't

Answer: 1/1x3+1/3x5 = 14/3 or 4  2/3

Step-by-step explanation:

And please, next time give the problem fully.

Answer:

In the graph attached there is a sample generated with a correlation coefficient r=-0.5.

Step-by-step explanation:

A value of r that is -0.5 shows that there is a certain correlation and that this correlation is negative.

As there are no examples in this question, I searched for a generator of random samples with a user-input correlation coefficient between the two variables.

In the graph attached there is a sample generated with a correlation coefficient r=-0.5.

Answer:

In the graph attached there is a sample generated with a correlation coefficient r=-0.5.

Step-by-step explanation:

Answer:

d it is what it is my man's

Answer:

r = -9/10

Step-by-step explanation:

Given

7/10 = r - (-8/5)

Required

Solve for x

7/10 = r - (-8/5)

We start by opening the bracket

7/10 = r + (- -8/5)

7/10 = r + (8/5)

7/10 = r + 8/5

Subtract 8/5 from both sides

7/10 - 8/5 = r + 8/5 - 8/5

7/10 - 8/5 = r

Solve the fraction by taking their LCM

(7 - 16)/10 = r

-9/10 = r

Reorder the above

r = -9/10

Hence, the value of r is -9/10

Answer:

4(− 5/7 )

Step-by-step explanation:

Answer:

(a) 0.635

(b) 0.498

Step-by-step explanation:

(a) The probability distribution is calculated using the cumulative distribution function of the Poisson as follows;

CDF  = [tex]F(x)=e^{-\lambda t}\sum_{i = 0}^{\left | x \right |}\dfrac{\lambda t^{i}}{i!}[/tex]

For x = three we have;

CDF = 0.781

For x = one we have;

CDF = 0.1465

Therefore, the probability that between one and three inclusive = 0.781 - 0.1465 = 0.635

(b) For x = 2 we have;

CDF = 0.4395

For x = one we have;

CDF = 0.9378

Therefore, the probability that between one and three inclusive = 0.9378- 0.4395= 0.498

Answer:

not a function

Step-by-step explanation:

This is not a function.  For the value x =2 there are two different y values

To be a function each value of x has only one value for y

This would also fail the vertical line test

Answer:

the graph shift down 135 units

Step-by-step explanation:

when there is no fixing cost:

f(x)=12x-1400

when there is fixing cost (0ne time): 12x-(1400+135)

the graph shift down 135 units

Those $ 135 will be added to the fixed cost, by increasing the expense with respect to the embroidery, with which the function will become the following: f (x) = 12x - (1,400 + 135).

Since Keenan buys an embroidery machine for $ 1,400, and he uses it to embroider T-shirts, and his total profit in dollars from selling the T-shirts is represented with the function f (x) = 12x - 1,400, and when the machine breaks, he pays $ 135 to have it fixed, to determine how does that cost affect a graph of Keenan's profit function, the following mathematical analysis must be performed:

Therefore, those $ 135 will be added to the fixed cost, by increasing the expense with respect to the embroidery, with which the function will become the following: f (x) = 12x - (1,400 + 135).

Learn more in https://brainly.com/question/15853856

Answer:

Step-by-step explanation:

Let organise our information :

we can say that :

        x ⇒ 8 percent

so :

           = 6.4

so the interest is 6.4 dollars

so the total cost is 86.4

Answer:

386.11

Step-by-step explanation:

32,860=€386.11

Answer:

A

Step-by-step explanation:

Given a parabola in standard form, y = ax² + bx + c ( a ≠ 0 ), then

minimum/ maximum value is the y- coordinate of the vertex.

The x- coordinate of the vertex is

[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]

y = x² - [tex]\frac{5}{3}[/tex] x + [tex]\frac{31}{36}[/tex] ← is in standard form

with a = 1 and b = - [tex]\frac{5}{3}[/tex] , thus

[tex]\frac{x}{vertex}[/tex] = - [tex]\frac{-\frac{5}{3} }{2}[/tex] = [tex]\frac{5}{6}[/tex]

Substitute this value into y

y = ([tex]\frac{5}{6}[/tex] )² - [tex]\frac{5}{3}[/tex] ([tex]\frac{5}{6}[/tex] ) + [tex]\frac{31}{36}[/tex]

   = [tex]\frac{25}{36}[/tex] - [tex]\frac{25}{18}[/tex] + [tex]\frac{31}{36}[/tex] = [tex]\frac{1}{6}[/tex]

Since a > 1 then the vertex is a minimum, thus

minimum value = [tex]\frac{1}{6}[/tex] → A