Given P(A) = 0.55, P(B) = 0.42 and P(AUB) = 0.639, find the value of
P(An B), rounding to the nearest thousandth, if necessary.

Answer:

x = 20

y = 10√3, or 17.32

Answer:

slope = 3x

Step-by-step explanation:

Equation is y = 3x - 6
3x is slope

Answer:

15.733in^2

Step-by-step explanation:

For this triangle it would be area=0.5 * b * h * sin(y)

(y) being the angle

(b) being base

(h) being height

Hope this helps and I am pretty sure this is right.

Answer:

is 24

Step-by-step explanation:

because is multiply for 22

Answer:

The width W is :

[tex]W=\frac{3}{5}[/tex]

Step-by-step explanation:

Let A be the area of the rectangle

Let L be the length of the rectangle

Let W be the width of the rectangle

______

Formula:

A = L × W

__________

[tex]\begin{aligned}A &=L \times W \\\Rightarrow W &=\frac{A}{L} \\\Rightarrow W &=\frac{\frac{3}{8}}{\frac{5}{8}} \\&=\frac{3}{8} \times \frac{8}{5} \\&=\frac{3 \times 8}{8 \times 5} \\&=\frac{3}{5}\end{aligned}[/tex]

You could do

36+12

4*12

4*9+12

(4*9)+(3*4)

and many more!

Answer:

-4x - 3

Step-by-step explanation:

4x + 3 + y = 0

y is additive inverse

y = -4x - 3

-4x - 3 + 4x + 3 = 0

0 = 0

cancels out

Using sampling concepts, it is found that a sample that involves an equal proportion of boys and girls is representative of the population.

It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which is a group containing elements of a population. A sample has to be representative of the population, that is, it has to involve all segments of the population.

The students of the seventh grade can be divided into boys and girls, hence, a sample that involves an equal proportion of boys and girls is representative of the population.

More can be learned about sampling concepts at https://brainly.com/question/25122507

Answer:

False

Step-by-step explanation:

Vertical angles are not always adjacent, but they are always congruent.

Hope that helps!

Answer:

False

Step-by-step explanation:

Hope it will help you*

Answer:

i think d but i don't know for sure

Answer:

9 cm

Step-by-step explanation:

A= lw

54=6w

9=w

Answer:

9 cm

Step-by-step explanation:

⇒ Area of rectangle = (L)(B)

Substitute the length, breadth, and the area in the formula:

⇒ Area of rectangle = (L)(B) = 54 cm²

⇒ (6)(B) = 54 cm²

Divide 6 both sides:

⇒ (6)(B)/6 = 54/6 cm²

⇒ B = 9 cm

Thus, the measure of the width is 9 cm.

Using sampling concepts, it is found that these following sample is biased.

Select all students in all Miami high schools.

It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which is a group containing elements of a population. A sample has to be representative of the population, that is, it has to involve all segments of the population.

In this problem, the only sample that does not englobe all of Florida is the one containing only students from Miami, hence the biased sample is:

Select all students in all Miami high schools.

More can be learned about sampling concepts at https://brainly.com/question/25122507

Answer: 47/90

Step-by-step explanation:

3/10+2/9=47/90 somehow ig

Answer:-7,0,1.5

Step-by-step explanation: they are lower then number three

Answer:

The 63rd Term Is 309

Step-by-step explanation:

The variation from x to y is an illustration of a direct variation

The value of x when y = 2 is -19/7

The variation is a direct variation.

So, we have:

x = ky

Where k represents the constant of variation

Make k the subject

k = x/y

This gives

x1/y1 = x2/y2

So, we have:

-19/14 = x/2

Multiply both sides by 2

x = -19/14 * 2

Evaluate

x = -19/7

Hence, the value of x when y = 2 is -19/7

Read more about direct variation at:

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Answer:

1. V = 130 in³

Step-by-step explanation:

1. You can find the volume of a rectangular prism with this formula:

( l • w )h

(20 • 2)3 1/4

=

130

And then add the label in³

2. V = 20 ft³

2. A box is the same as a rectangular prism.

Use the same formula to find the answer.

(4•2 1/2)2

=

20

And then add the label ft³

3. V = 10 in³

3. It doesn't matter if the rectangular prism is a "right" one so you can just use the same formula for a rectangular prism.

5/4 = 1 1/4 or 1.25

(1.25 • 2)2

=

10

And then add the label in³

PLEASE! If you have any questions make sure to leave a comment on this post and I will happily help you out!

Answer:  

x = 4

Step-by-step explanation:

See attachment.

Answer:

82cm

Step-by-step explanation:

ihope it helps thanks

Answer:

Step-by-step explanation:

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

Slope:

1

y-intercept:

(

0

,

0

)

x

y

0

0

1

1

Answer:

(1.2, 1.6)

Step-by-step explanation:

Rewrite both equations to make y the subject:

Equation 1:  3x - y = 2

⇒ 3x = 2 + y

⇒ y = 3x - 2

This line has a positive slope.

Equation 2:  2x + y = 4

⇒ y = -2x + 4

This line has a negative slope.

Therefore, the graph that has been plotted is y = 3x - 2

Plotting second graph

Equation of the line:  y = -2x + 4

Input x = 0 into the equation and solve to find the y-intercept:

⇒ y = -2(0) + 4 = 4

Therefore, the y-intercept is (0, 4)

Input y = 0 into the equation and solve to find the x-intercept:

⇒ 0 = -2x + 4

⇒ 2x = 4

⇒ x = 2

Therefore, the x-intercept is (2, 0)

Plot the two points (0, 4) and (2, 0), and draw a straight line that passes through them.

The solution to the system is the point of intersection of the two lines.  From inspection of the graph, this is (1.2, 1.6)

------------------------------------------------------------------------------------------------

Solving algebraically

Equation 1:  3x - y = 2

Equation 2:  2x + y = 4

Sum the equations to eliminate y:

[tex]\begin{aligned}& 3x - y & = 2\\ +\quad& 2x + y & = 4\\ \cline{1-3}& 5x & = 6\end{aligned}[/tex]

Solve for x:

[tex]\implies x=\dfrac65=1.2[/tex]

Substitute found value of x into one of the equations and solve for y:

[tex]\implies y = 3\left(1.2) - 2=1.6[/tex]

So the solution (point of intersection) of the system of equations is:
(1.2, 1.6)

The volume of the prism is 2 cm³.

Option B is the correct answer.

A prism is a three-dimensional object.

There are triangular prism and rectangular prism.

We have,

The volume of the prism:

= Base area x height

Now,

Base area = 4 x 1 = 4 cm²

Height = 1/2 cm

Now,

The volume of the prism.

= 4 x 1/2

= 2 cm³

Thus,

The volume of the prism is 2 cm³.

Learn more about prism here:

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Answer:

0.19, 0.23, 0.28...............

Answer with step by step explanation

First, let us find the circumference of the small circle.

The radius of the small circle is 5 cm.

So, now let us see the formula which is needed to find the circumference.

C = 2 π r

Let us find it now.

Circumference of the small circle.

C = 2 π r

C = 2 × 3.14 × 5

C = 31.4 cm

  ≈ 30 cm → nearest 10th

Now let us find the circumference of the big circle.

The radius of the big circle is 10 cm.

C = 2 π r

C =  2 × 3.14 × 10

C = 62.8 cm

   ≈  60 cm → nearest 10th

Alright let's solve this step by step:

            ⇒ Perimeter = 6 + 6 + 6 + 6 + 6 + 6 + 11 + 11 = 58 km

            ⇒ Height = 4.3km

        ⇒ area of the two rectangles on the narrower side of the figure

            ⇒ plus the area of the pentagon on the wider side of the figure

                 = [tex]\frac{1}{2}(base1+base2)*height = \frac{1}{2} *(6 + 11) *4.3=36.55km^2[/tex]

   Total Area = 36.55 + 36.55 + 30 +30 = 133.1 km^2

    Area of the two bases = 6 * 6 + 6 * 11 = 36 + 66 = 102 km^2

     ⇒ Surface Area = Lateral Area + Base area = 133.1 + 102 = 205.1 km^2

Hope that helps!

A fraction/probability is created by taking what we want and putting that over the total.

In this case, we want yellow out of the total number of marbles.

Yellow Marbles = 1

Total Marbles = 6 + 1 + 2 + 3 = 12

Probability/Fraction = 1 / 12

Hope this helps!

Answer:

Area = 18

Step-by-step explanation:

Since the triangles are similar, we can set up a proportion of 10/4.5 = 40/x. The sides on top, with length 10 and 4.5, are similar. This ratio can then be applied to the areas, with the area of rectangle T in the numerator and the area of rectangle U in the denominator, giving us 40/x. To solve for x, we can multiply 40 by 4.5 and then divide the product by 10. This gives us 18, the area of rectangle U.

Answer:

the answer is five 5 students prefer football

Translating the new coordinate up by 2 units and 5 units to the left will given a final coordinate at X''''(10, 1), Y''''(-4, 15) and Z''''(4, 19)

This is a technique used to change the position or size of an object on the xy plane.

Given the coordinate points X(2, 4), Y(5,-3) and Z(-7, 1)'

If the coordinate points is rotated 90 degrees clockwise, then the resulting coordinate will be at X(4, -2), Y(-3,-5) and Z(1, 7)

If the resulting coordinate is dilated by by a scaling factor of 2, then the new coordinate points wil be at X''(8, 4), Y''(-6, -10) and (2, -14)

If the resulting coordinate is reflected over the x-axis, then the new coordinate points wil be at X'''(8, -4), Y''(-6, 10) and (2, 14)

Finally, translating the new coordinate up by 2 units and 5 units to the left will given a resulting coordinate at X''''(10, 1), Y''''(-4, 15) and Z''''(4, 19)

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An exponential decay function is flx) = (-3)9, the correct option is D.

Consider the function:

[tex]y = a(1\pm r)^m[/tex]

where m is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.

If there is plus sign, then there is exponential growth happening by r fraction or 100r %

If there is negative sign, then there is exponential decay happening by r fraction or 100r %

We are given that;

f(x) =4

An exponential decay function is a function of the form:

f(x) = ab^x

where a and b are positive constants and b < 1.

The value of b determines how fast the function decreases as x increases. The smaller the value of b, the faster the decay.

To find which option is an exponential decay function, we need to compare their values of b.

Option A has f(x) = 4(1/3)x. This means that b = 4^(1/3), which is approximately 1.587. Since b > 1, this is not an exponential decay function.

Option B has f(x) = 13(7)^x. This means that b = 7, which is greater than 1. This is not an exponential decay function.

Option C has f(x) = (9/5)^x. This means that b = 9/5, which is also greater than 1. This is not an exponential decay function.

Option D has f(x) = (-3)(9)^(-x). This means that b = 9^(-1), which is equal to 1/9. Since b < 1, this is an exponential decay function.

Therefore, by exponential growth and decay the answer will be flx) = (-3)9

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[tex]\textit{area of a parallelogram}\\\\ A=bh~~ \begin{cases} b=base\\ h=height\\[-0.5em] \hrulefill\\ b=13\\ A=104\\ h=x \end{cases}\implies 104=(13)(x)\implies \cfrac{104}{13}=x\implies 8=x[/tex]