1. P(video games and kid is 10 to 12 years old)2. P(basketball/kid is 13 to 15 years old)3. P(kid is 13 to 15 years old/basketball)4. P(darts/kid is 10 to 15 years old)5. P(basketball and darts)6. P(basketball and kid is 13 to 18 years old)Answer the following problems about two way frequency tables make sure to reduce your fraction.

If we find the point X on the plane we can see the following:

Notice that the point D and the point X are 10 units apart with respect the x-axis, therefore, the point that is 10 units away from X is point D

A sequence is called arithmetic if the difference between two consecutives is a constant

In the first case we see a constant difference of 5

every two consecutives have difference of 5, for example 20-15, 30-25 and so on.

In the second case we see the division between two consecutives is a constant . That is called a GEOMETRIC sequence.

the constant in this case is 18/6 =3

lets return to the 1st case find the explicit

An = Ao +(n-1) d

An means the n term in the sucession

Ao means the first term

d means the constant

with that in mind we replace the values obtained

An= 5 + (n-1) •5

now for the recursive

a1= 5

An = An-1 + 5

Now lets go to the second part, the geometric sequence. Just is needed to replace the values in the ABOVE RIGHT formula

so then

An = A1 •(3)^(n-1)

An = 2• (3)^(n-1)

Solution

The diagram below will be of help

From the image above

We know that the sum of angle in a triangle is 180 degrees

That is

Now, to find x

We also know that the sum of angle in a straight line is 180 degrees

That is

We now solve for x

Therefore, the value of x = 149 degrees

Option B

ANSWER:

The correct option is the following:

C. Find the intersection of the angle bisectors of each angle of the triangle,

EXPLANATION:

The point that equidistant is the point at which the three bisectors of the internal angles of the triangle intersect, and it is the center of the circumference inscribed in the triangle and equidistant from its three sides.

IMPORTANT NOTE:

Any point on the bisector of an angle of a triangle equidistant from the sides that define that angle.

Outcome that are in A and B simply means both outcome must be achieved.

Therefore,

We need to think of something that will cool down 10 degrees in 5 hours to be more realistic. You may say that this graph describes the temperature profile of a fermentation broth after it is heated to 82 degrees is left on the tank to cool down to room temperature.

The statement

41 increased by 4

The word increase mean adding to the given number 41

Hence,

The statement can be expressed as

Simplifying the result gives

Therefore, the answer is

Let's begin by listing out the given information:

Loan (p) = $3,800

Time (t) = 8 months = 8/12 year

Interest rate (r) = 5.5%

a)

We calculate it thus:

b)

The amount paid in total is:

there are 12 questions

I got 7 right

the easiest way to solve this is by using a rule of three

Step 1

Let

then

Step 2

do the relation and solver for x

so, you did the 58.33 %

Make graph line using the slope and the y-intercept or the point.

m=1/4 and b=3

What is graph ?

graph is a mathematical representation of a networks and it describes that the  relationship between lines and points. A graph consists of some points and lines are  between them. The length of the lines and position of the points do not matter.

Sol-as per the given question y=1/4x+3

The slope-intercept form y=mx+b where m is the slope and b is the y intercept

y=mx+b

Reorder terms

y=1/4x +3

Use the slope-intercept form to find the slope and y-intercept

Slope=1/4

y-intercept :(0,3)

Any line can be graphed using two points is  Select two x

values, and plug them into the equation to find the corresponding Y values.

In record terms -y=1/4 x+3

The table of x and y values are-

X-0,4

Y-3,4

graph the line using the slope and the y-intercept, or the points.

Slope -1/4

y-intercept (0,3)

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You have to multiply the numbers:

9x6 =54

Multiply is the same as adding the number 6 times

9+9+9+9+9+9 =54

Answer:

whales, walruses, porpoises, dolphins, seals, dugongs, manatees, and sea otters

Step-by-step explanation:

have good day

The mode is the number that appears most or occurs most frequently. Therefore, the mode of the data set below can be calculated below

Let's rearrange the data

The mode will be

Let's set d as the age of Davon and m as the age of Milan.

Devon is 30 years old than his son Milan, it is represented by the equation:

The sum of both ages is 56, the equation that represents the situation is:

To find Devon's age, in equation 1, solve for m in terms of d:

Now, replace in equation 2 and solve for d:

Devon is 43 years old.

The area of right triangle is [tex]\frac{1}{15}[/tex].

The given coordinates are [tex](-2,-1), (1, 1), (3,-2)[/tex].

We have to find the area of right triangle.

To find the area we first draw the graph using that coordinate.

The graph of the coordinate is

To find the area we use the formula

[tex]\angle ABC=\frac{1}{2}(|AB|)(|AC|)[/tex]

We first find the value of [tex](|AB|)[/tex] and [tex](|AC|)[/tex].

e coordinate of [tex]A[/tex] is [tex](-2,-1)[/tex] and [tex]B[/tex] is [tex](1,1)[/tex].

The slope of [tex](|AB|)=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

The slope of [tex](|AB|)=\frac{1-(-1)}{1-(-2)}[/tex]

The slope of [tex](|AB|)=\frac{1+1}{1+2}[/tex]

The slope of [tex](|AB|)=\frac{2}{3}[/tex]

The coordinate of [tex]A[/tex] is [tex](-2,-1)[/tex] and [tex]C[/tex] is [tex](3,-2)[/tex].

The slope of [tex](|AC|)=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

The slope of [tex](|AC|)=\frac{(-2)-(-1)}{3-(-2)}[/tex]

The slope of [tex](|AC|)=\frac{-2+1}{3+2}[/tex]

The slope of [tex](|AC|)=-\frac{1}{5}[/tex]

Now finding the area of right triangle by putting the values.

[tex]\angle ABC=\frac{1}{2}\times\frac{2}{3} \times(-\frac{1}{5})[/tex]

Area can't be negative so

[tex]\angle ABC=\frac{1}{2}\times\frac{2}{3} \times\frac{1}{5}\\\angle ABC=\frac{2}{30}\\\angle ABC=\frac{1}{15}[/tex]

Hence, the area of right triangle is [tex]\frac{1}{15}[/tex].

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"S is the midpoint of BT": this is given.

BO || AT: this is given.

SB = ST: definition of midpoint.

alternate interior

vertical

ΔBOS = ΔTAS: SAS or ASA (both are right).

We are given the following information:

Table sides = 36 inches & 18 inches

Diagonal of table = 43 inches

We are to find out if the table is "square" (that is if the table follows the Pythagoras theorem). We will check this below:

Therefore, the table is not "square" (it does not have right angles at the corners)

to find the distribution of

rewrite 32 as an addition

rewrite the product

distribute the 9

Examples:

1. Five increased by four times a number

where n is the number

2.The product of 4, and a number decreased by 7

The Solution:

Let the outcomes when two dice are tossed be as summarized in the picture attached below:

The given equation is:

x^4-8x^3+5x^2+14x​

In this question, we have to find the zeros algebraically. Hence, we need to find the values of x that satisfy the equation.

Note: The roots (values of x) are equal to the power of the equation. Therefore, the given equation will have 4 roots

Therefore,

x^4-8x^3+5x^2+14x​ = 0

or

x(x^3-8x^2+5x+14​) = 0

=> x = 0 and x^3-8x^2+5x+14​ = 0

Therefore, the first root is x = 0.

Now,

x^3-8x^2+5x+14​ = 0

To simplify that, try putting different values of x (starting from 1 and -1). The value that makes both sides equal to zero would be the solution.

Let's start with (1):

For x = 1

(1)^3 - 8(1)^2 + 5(1) + 14 = 0

1 -8(1) + 5 + 14 = 0

-1 -8 +5 + 14 = 0

- 9 + 19 = 0

10 = 0

It is false, therefore, x = 1 is not the solution.

For x = -1

(-1)^3 - 8(-1)^2 + 5(-1) + 14 = 0

-1 -8(1) - 5 + 14 = 0

-1 -8 -5 + 14 = 0

- 14 + 14 = 0

0 = 0

hence, x = -1 is the second solution.

If x = -1 is the solution, (x + 1) should be the factor of x^3-8x^2+5x+14. Therefore, the whole equation can be divided by factor

x^3-8x^2+5x+14 / (x+1). = x^2 - 9x + 14. (using division)

Now, let's find the roots of x^2 - 9x + 14

x^2 - 9x + 14 = 0

x^2 - 7x - 2x + 14 = 0

x(x - 7) - 2 (x - 7) = 0

(x - 7) (x - 2) = 0

or

x - 7 = 0. and x - 2 = 0

x = 7 and x = 2

Therefore, the zeros of the given equation are, 0, -1, 2 and 7.

Take into account that dop plots are usefull for small or moderate sized data sets, and also they are suefull for data with big gaps.

Based on the previous description, you can conclude that the best option for a dot plot is:

16, 29, 31, 37, 44, 49, 58, 63, 69, 70, 83, 97

in comparisson with the other data sets, the elements of the rest of data sets are closer to each other.

So,

The line:

Is a good fit of the data given.

To predict the number of bachelor's degrees in Mississippi, we replace x by 40.6 and operate:

The number of bachelor's degrees per 1000 people when x=40.6 median income, is predicted as 228.778.

Determine the total cost for 3 order of fries and 2 drinks.

Determine the expression for f orders of fries and d drinks.

So cost of 3 order of fries and 2 drinks is $4.9.

The cost order for f orders of fries and d drinks is 0.94f + 1.04d.

We want find the compound interest annualy for 4 years, $8500, at 7%'

The formula for the compound amount over one year is;

1st year:

2nd year:

3rd year:

4th year:

Answer:

The correct option is option a.

$18.08 for 9 bottles is the better buy.

Explanation:

The best buy is the item with the lesser price tag.

Let us chech which of the given items has the lesser price tag.

a. $18.08 for 9 bottles of juice

Let us find how much one bottle costs.

1 bottle = 18.08/9

= 2.01

1 bottle of juice costs $2.01 approximately

b. $22.23 for 11 bottles of juice

1 bottle = 22.23/11

= 2.03

1 bottle of juice costs $2.03 approximately.

Comparing these prices per bottle of juice, we realise that the one with $18.08 for 9 bottles is the better buy.

Determine whether is a solution for:

For, x=-8, y has to be 3:

(-8, 3) is not a solution for the equation.

For x=-4, y has to be -1:

(-4, -1) is a solution for the equation.

For x=6, y has to be -7:

(6, -7) is a solution for the equation.

For x=7, y has to be 2

(7, 2) is not a solution for the equation.

If the perimeter of the quadrilateral MNOP is x

And a scale factor of a dilated image is

If the perimeter of M'N'O'P' = y

Then

Cross multiplying,

The perimeter of M'N'O'P' = 7/8 x units

Option A is correct

The derivative of the given expression ln(x)cos(x) can be written as (cos(x))/x - sin(x)ln(x).

What is derivative?

In mathematics, the derivative of a function of a real variable measures how sensitive the function's value (or output value) is to variations in its argument (input value). The derivative is the fundamental tool in calculus. A measure of how quickly an object's position changes over time is its velocity, which is the derivative of that object's position with respect to time.

We can solve this derivation using multiplication property of derivatives:

i.e. [tex]\frac{d}{dx}(uv) = u\frac{dv}{dx} + y \frac{du}{dx}[/tex]

In the given question, lets consider ln(x) as u and cos(x) as v

putting the values from question.

[tex]\frac{d}{dx}(ln(x)cos(x)) = ln(x)\frac{d(cos(x))}{dx} + cos(x) \frac{d(ln(x))}{dx}[/tex]

[tex]= ln(x)(-sin(x)) + cos(x)(\frac{1}{x})[/tex]

= (cos(x))/x - sin(x)ln(x)

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