What is the value of the expression, when x = 6?

Answer:

0.0816

Step-by-step explanation:

Given:

Let O = Students taking an online class

Let B = Students prefer watching baseball to football

Therefore,

P(O) = 1200/5000 = 0.24

P(B) = 1700/5000 = 0.34

If events O and B are independent,

⇒ P(O ∩ B) = P(O) · P(B)

                   = 0.24 × 0.34

                   = 0.0816

Answer:

x = t+ka/k

Step-by-step explanation:

First you take letter k and place it after =sign which brings (x-a) = t/k because if you shift any number or letter after the = sign it has to be the opposite sign. for instance if it's positive, it will turn negative after the equal sign and if it is multiplication, it will turn division

Then you open the brackets which makes x-a = t/k

Now you shift "a" after the equal sign which leads to our answer, x= t +ka/k

Answer:

x = [tex]\frac{t+ka}{k}[/tex]

Step-by-step explanation:

k(x - a) = t ← distribute parenthesis on the left side by k )

kx - ka = t ( add ka to both sides )

kx = t + ka ( divide both sides by k )

x = [tex]\frac{t+ka}{k}[/tex]

Answer:

£336 more

Step-by-step explanation:

2100/5 = 420 One fifth of the total lottery.

Colin has four shares so 4X420 = 1680

He then splits it into 10 (2+3+5) parts. 1680/10=168

Wife: 168X5=840

Son: 168X3=504

Wife-Son 840-504=336

Answer:

336£

Step-by-step explanation:

To get the amount of money colin gets

(2100*4)/5=1680

Lets do a table:

2. 5. 3. Sum:10

(2*1680)/10. (5*1680)/10. (3*1680)/10

=336. =840. =504

Distance:-

[tex]\\ \rm\Rrightarrow \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}[/tex]

[tex]\\ \rm\Rrightarrow \sqrt{(10-1)^2+(6-4)^2}[/tex]

[tex]\\ \rm\Rrightarrow \sqrt{9^2+2^2}[/tex]

[tex]\\ \rm\Rrightarrow \sqrt{81+4}[/tex]

[tex]\\ \rm\Rrightarrow \sqrt{85}[/tex]

[tex]\\ \rm\Rrightarrow 9.22units[/tex]

Answer:

10) 25π OR 78.5398...yd 11) 1/4π OR 0.785398...ft 12) 100π OR 314.159265....in

Step-by-step explanation:

area of a circle = πr^2 (π x radius squared)
the radius is just half the diameter

so for eg:

number 10)

diameter = 10 yd so radius = 5 yd

5 squared = 25

π x 25 yd = 25π OR 78.5398...yd

i hope this helped :)

Answer:

Step-by-step explanation:

i think this is the answer

Answer:

Yes Girlie, you need to multiply by x and divide by 15!!!!!!!!!

Step-by-step explanation:

Answer: 5.25 square inches

Step-by-step explanation:

A=(1/2)bh=(1/2)(3.5)(3)=5.25

Answer:

50%

Step-by-step explanation:

the first number represent 0% then 25% then 50% then 75% then 100%

6 was in the half so 50%

Answer:

10°

Step-by-step explanation:

According remote interior angles, 4k + 5 + 6k + 10 = 115.

10k + 15 = 115

10k = 100

k = 10

Hope this helps :)

Have a nice day!

Answer:

k = 10°

Step-by-step explanation:

      According to the exterior angle theorem, the exterior angle will be equal to the two opposite inside angles added together. It will look like the following, and we solve for k from there.

115° = (4k + 5)° + (6k + 10)°

115° = 4k° + 5° + 6k° + 10°

115° = 6k° + 4k° + 10°  + 5°

115° = 10k° + 15°

100° = 10k°

10° = k

k = 10°

Answer:

116.1

Step-by-step explanation:

supplementary-180

complimentary-90

180-63.9= 116.1

Answer:

x = 56°

Explanation:

Note: A straight line has total 180°

Answer:

x = 56°

Step-by-step explanation:

x + 124° = 180° ( being linear pair )

X = 180° - 124°

X = 56°

Answer:

  210 cm²

Step-by-step explanation:

The area of the triangle can be found using the triangle area formula:

  A = 1/2bh

  A = 1/2(12 cm)(35 cm) = 210 cm²

_____

Additional comment

The legs (short sides) of the right triangle are effectively the base and height of the triangle.

The area of the right angle triangle is 210 square centimeters if the side lengths are 12 cm, 35 cm, and 37cm

It is defined as a triangle in which one angle is 90 degrees and the other two angles are acute angles. In a right-angled triangle, the name of the sides are hypotenuse, perpendicular, and base.

We have a right angle triangle with side lengths of 12cm, 35cm, and 36cm

Here the base length b = 12 cm

The height of the right angle triangle h = 35 cm

We know the formula for the area of the right angle triangle is given by:

[tex]\rm A = \frac{1}{2} bh[/tex]

[tex]\rm A = \frac{1}{2} \times 12\times 35[/tex]

A = 210 square centimeters

Thus, the area of the right angle triangle is 210 square centimeters if the side lengths are 12 cm, 35 cm, and 37cm

Learn more about the right angle triangle here:

brainly.com/question/3770177

#SPJ4

Answer:

ITs a plus b then c ding

Step-by-step explanation:

Answer:

There is not a slope perpendicular to the lie x = -6

Step-by-step explanation:

In this equation, you are given a line, x = -6.

This is in fact a line with an undefined slope. The slope for a perpendicular intersection is the opposite reciprocal of the slope.

Eg. If you have the line y = 2x

The reciprocal is y = 1/2x, the opposite means negative

So the slope that would intersect this line perpendicularly is y = -1/2x.

There is an undefined slope in this, therefore, you cannot find the slope for a line perpendicular to x = -6.

If it were an option, I would choose "no slope"

Answer/Step-by-step explanation:

Note:

Graphing From An Equation:

Equation are frequently written in slope-intercept form { y = mx+b}.

Which "m" represents the slope and "b" represents the y-intercept.

Solutions and Equation:

Solutions to linear equations contain any points located on the graphed line.

Ordered Pair = Solution to an equation if it's values are substituted in the equation which makes it true

Solve:

{x = 0 }       3(0) - 4y = 12

                       -4y = 12                                 (0, -3 )

                       -4y/-4 = 12/-4

                                y = -3

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

{y = 0}                  3x-4(0) =12

                                3x = 12              (4,0)

                                 3x/3 = 12/3

                                        x = 4

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

~Lenvy~

Refer to the attachment for your answer, just remember the fact that as x is an integer in 2nd question and x > 3.66... so x's smallest value will just be 4, and in 1st question you can use the number line for a better understanding

Answer:

670.21 inches^3

Step-by-step explanation:

To find the volume of the spheres, all you need to know is the formula for the volume of a sphere, which you've included in your problem. From the problem, you also know that r = 2. From here, you calculate the volume of 1 of the spheres, which turns out to be:

V = 33.51032

Since there are 20 spheres in this box, you multiple the volume of a single sphere by 20 to get the total volume occupied by the spheres.

V = 20 * 33.51032

V = 670.2064

If you round to 2 decimal places, this becomes 670.21.

The volume of a triangular right prism whose area is 15.2 inches and height is 9.7 inches is  147.44 in³

Volume is the amount of space occupied by a three dimensional shape or object.

The volume of a triangular prism is given by:

Volume = Area of triangular base * height.

Hence, for a triangular right prism whose area is 15.2 inches. If its height is 9.7 inches:

Volume = 15.2 * 9.7 = 147.44 in³

The volume of a triangular right prism whose area is 15.2 inches and height is 9.7 inches is  147.44 in³

Find out more on volume at: https://brainly.com/question/12410983

Answer:

x = y = - 1

Step-by-step explanation:

y = - 2x - 3

y = 7x + 6 -----> equation 1.

So,

7x + 6 = - 2x - 3

7x + 2x = - 3 - 6

9x = - 9

Divide 9 on both sides,

9x / 9 = - 9 / 9

x = - 1

Substitute x = - 1 in equation 1,

y = 7x + 6

  = 7 ( - 1 ) + 6

  = - 7 + 6

  = 6 - 7

y = - 1

Therefore,

x = y = - 1

Step-by-step explanation:

please mark me as brainlest

Answer:

Step-by-step explanation:

Side₁ = 1.8 +3.2 = 5 cm

Side₂ = 3 cm

Side₃ = 4 cm

Perimeter of triangle = sum of all the three sides

                                   = 5 + 3 + 4

                                   = 12 cm

[tex]\boxed{\text{Area of triangle =$\dfrac{1}{2}*base * height$}}[/tex]

                          [tex]=\dfrac{1}{2}*5*2.4\\\\\\= 5*1.2\\\\= 6 \ cm^{2}[/tex]

Answer:

10x + 12y -15 =0

Step-by-step explanation

Answer:

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

Step-by-step explanation:

Vertical stretch = widens graph

Factor = multiply by [tex]\frac{1}{3}[/tex]

FINAL RESULT: [tex]y = \frac{1}{3} x^2[/tex]

Hope this helps!

Answer:

x=-3.5 and y=6.25

Step-by-step explanation:

x+2y=9

x=9-2y

-6(9-2y)+4y=46

-54+12y+4y=46

16y-54=46

16y = 100

y = 100/16 = 50/8 = 25/4 = 6.25

x+2(6.25)=9

x+12.5=9

x= -3.5

Work Shown:

Estimate = 1.25*(actual time)

Estimate = 1.25*(16)

Estimate = 20

Bryan estimated it would take 20 minutes.

Note: The multiplier 1.25 represents an increase of 25%

ATQ

[tex]\\ \rm\rightarrowtail 3x+5x=720[/tex]

[tex]\\ \rm\rightarrowtail 8x=720[/tex]

[tex]\\ \rm\rightarrowtail x=90[/tex]

Second part:-

5x=5(90)=450

Answer:

Its the second one in the photo

Step-by-step explanation:

it's the second because when I clicked it I got it right.

Answer:

55.5 cubic yards

Step-by-step explanation:

Here,

Length ( l ) = 5 yd

Base ( b ) = 3.7 yd

Height ( h ) = 3 yd

To find : Volume

This shape is a cuboild.

Formula : -

Volume of cuboild = lbh

Volume of cuboild

= 3 x 5 x 3.7

= 55.5 cubic yards

[tex] \huge\fbox\orange{ANSWER} [/tex]

[tex] \mathsf \purple{v = l \times w \times h}[/tex]

[tex] \mathsf \pink{v = 5 \times 3.7 \times 3}[/tex]

[tex] \mathsf \purple{v = 55.5 {yd}^{3} }[/tex]

55.5 cubic yards