Two number cubes are rolled for two separate events:
Event A is the event that the sum of numbers on both cubes is less than 10.
Event B is the event that the sum of numbers on both cubes is a multiple of 3.
Find the conditional probability of B given that A occurs first.

Answer:

[tex]\mathsf {11 \frac{1}{5} }[/tex] tons of concrete

Step-by-step explanation:

Here we need to divide fractions.

Concrete made :

The set {(10,5), (-10,-5), (5,10), (-5,-10)} represents a function , Option D is the correct answer.

The correct option 4 is

{(10,5), (-10,-5), (5,10), (-5,-10)}

A function is a law that states relation between a dependent variable and an independent variable .

For a data to satisfy being a function ,

For every individual value of x , there should be one value of y

If there are two values for a single x then the data set doesn't represent a function but it shows a relation.

For Option 1,2 and 3 , for the same value of x there are two values of y and in only the last set the value is different.

Therefore the set {(10,5), (-10,-5), (5,10), (-5,-10)} represents a function

Option D is the correct answer.

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Answer:

x=0

Step-by-step explanation:

[tex]4 \cos(x) = - \sin {}^{2} (x) + 1[/tex]

[tex]4 \cos(x) = 1 - \sin {}^{2} (x) [/tex]

[tex]4 \cos(x) = \cos {}^{2} (x) [/tex]

[tex]4 \cos(x) - \cos {}^{2} (x) = 0[/tex]

[tex] \cos(x) (4 - \cos(x) ) = 0[/tex]

[tex] \cos(x) = 0[/tex]

[tex]x = 0[/tex]

[tex]4 - \cos(x) = 0[/tex]

[tex] \cos(x) = 4[/tex]

There is no solution here because cosine is undefined it the range is not between -1 and 1 so the only answer is 0.

Answer:

A) 9

Step-by-step explanation:

⇒ Circumference of a Circle = 2πr

[tex]36=2\pi r[/tex]

[tex]r=\frac{36}{2} \pi[/tex]

[tex]r=\frac{18}{\pi }[/tex]

Length of arc = rθ

θ = angle AC = [tex]90^o[/tex]

Convert [tex]90^o[/tex] to radian

= [tex]\frac{90\pi }{180}[/tex]

= [tex]\frac{\pi }{2}[/tex]

length of arc = 18/π x π/2

= 9

The optimal ticket price is $ 65.The amount of tickets sold is 39000 and the amount of the extra revenue will be $ 135000.

What is the objective function?

The objective function is simply an equation that represents the goal production capability that relates to maximizing profits from manufacturing.

Current revenue;

⇒ 80 × 3000 = 240000

From the given condition the price decrease by 0.5 times. So that the ticket sold will be 300 times the cost. The inequality relationship is found as;

30000+300x  49282

x≤64

The revenue value is found as;

y = ( 80 - 0.5 x )(30000+300 x)

y=-150 x²+9000 x+2400000

The value of x is found as;

[tex]\rm x= \frac{9000}{150 \times 2 }\\\\ x=30[/tex]

Hence, the optimal ticket price is $ 65.The amount of tickets sold is 39000 and the amount of the extra revenue will be $ 135000.

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The value of m will be; m  = (-∞ , - 15/4) ∪ ( 1 , ∞ ).

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Given: line y = mx  + 3 intersects the line 3x + 4y + 12 = 0 at two distinct points.

To find the set of values of m.

The system of equations are;

y = mx  + 3

3x + 4y + 12 = 0

The intersection point are (1, −15/4)

So, the value of m will be

m  = (-∞ , - 15/4) ∪ ( 1 , ∞ )

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Answer:

1.8 hrs

Step-by-step explanation:

1.2 hr = 20 km/hr

A hr = 30 km/hr

(cross multiply)

30 x 1.2 = 20 x A

(30 x 1.2) / 20 = A

on simplifying...

1.8 = A

Therefore, it takes 1.8 hrs to travel 30 km/hr

[this is totally my method]

Answer:

The values of a, b, and c are needed to write the equation's general form will be a = 1; b = -3; c = 0.Option A is corect.

A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.

Given equation;

x²-3x=0

The quadratic equation in the form is;

ax² + bx + c = 0

On putting the values of the options one by one we will get the answer;

1 x²+(-3)x+0

x²-3x=0

Hence, option A is corect.

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Do long division (see the attachment).

[tex]\dfrac{1}{22}=0.04545\ldots=0.0\overline{45}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf 4x-3+5=2x+7-8x \end{gathered}$}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{Simplify \ both \ sides \ of \ the \ equation. } \end{gathered}$}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{4x+2=-6x+7 } \end{gathered}$}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{Add \ 6x \ to \ both \ sides.} \end{gathered}$}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{Subtract \ 2 \ from \ both \ sides. } \end{gathered}$}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{Divide \ both \ sides \ by \ 10.} \end{gathered}$}[/tex]

↓

[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{Verification} \end{gathered}$}[/tex]

[tex]\sf{4\times\dfrac{1}{2}-3+5=2\times\dfrac{1}{2}+7-8\times\dfrac{1}{2} }[/tex]

[tex]\sf{\dfrac{4}{2}-3+5=2\times\dfrac{1}{2}+7-8\times\dfrac{1}{2} }[/tex]

[tex]\sf{2-3+5=2\times\dfrac{1}{2}+7-8\times\dfrac{1}{2} }[/tex]

Cancel 2

[tex]\sf{2-3+5=1+7-8\times\dfrac{8}{2} }[/tex]

[tex]\sf{2-3+5=1+7-\dfrac{8}{2} }[/tex]

[tex]\sf{2-3+5=1+7-4 }[/tex]

[tex]\sf{-1+5=1+7-4}[/tex]

[tex]\sf{4=1+7-4}[/tex]

[tex]\sf{4=8-4}[/tex]

[tex]\sf{4=4}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{Checked} \end{gathered}$}[/tex]

[tex]\huge \red{\boxed{\green{\boxed{\boldsymbol{\purple{Pisces04}}}}}}[/tex]

The correct answer is option C which is 5(2a − 3) = (2a − 3) ⋅ 5 showing commutative property.

If altering the operands' order has no effect on the outcome, the binary operation is commutative in mathematics.

a x b = b x a

So for the expression 5(2a − 3) = (2a − 3) ⋅ 5 suppose 5 is a and ( 2a - 3 ) is b so.

a x b = b x a

5(2a − 3) = (2a − 3) ⋅ 5

Therefore the correct answer is option C which is 5(2a − 3) = (2a − 3) ⋅ 5 showing commutative property.

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It looks like you're saying

[tex]f(x) = ax^2 + bx + c[/tex]

and you're asked to find [tex]a,b,c[/tex] given [tex]f(0)=-4[/tex], [tex]f(1)=-1[/tex], and [tex]f(-1)=-5[/tex].

Evaluate [tex]f[/tex] at the three given points:

[tex]x=0 \implies f(0) = \boxed{c = -4}[/tex]

[tex]x=1 \implies f(1) = -1 = a + b + c \implies a+b = 3[/tex]

[tex]x=-1 \implies f(-1) = -5 = a - b + c \implies a - b = -1[/tex]

[tex](a+b) + (a-b) = 3 + (-1) \implies 2a = 2 \implies \boxed{a=2}[/tex]

[tex]a-b = -1 \implies \boxed{b=3}[/tex]

and the mapping is [tex]f(x) = 2x^2 + 3x - 4[/tex].

Answer:

Step-by-step explanation:

Pretty sure that is the answer.

Answer:

x = 6

Step-by-step explanation:

CT is a median, which means it divided AB into two equal parts so we can write the following equation:

7x + 9 = 5x + 21 transfer like terms to the same side of the equation

7x - 5x = 21 - 9 do the extraction

2x = 12 divide both sides by 2

x = 6

Answer:

I'm pretty sure its a since if the exponints negite they drop the the bottom and non of the others look right

Hope This Helps!!!

Answer:

1/r^7  + 1/s^12

Step-by-step explanation:

See attached image.

Answer:

that means that the new ones contains c-14*32/100

Hope This Helps!!!

Option third "The original amount of the mortgage" is correct because every month that passes, the amount left to pay decreases.

A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.

[tex]\rm m = \dfrac{n\sum xy-\sum x \sum y}{n\sum x^2 - (\sum x)^2}[/tex]

[tex]\rm c = \dfrac{\sum y -m \sum x}{n}[/tex]

As we know the line of best is represented by:

y = mx + c

Here m is the slope and c is the y-intercept.

A scatter plot is made to model the amount of money left to pay on a mortgage.

Every month that passes, the amount left to pay decreases.

Plug x = 0 to get the y-intercept

y = c

The y-intercept representing the original amount of the mortgage.

Thus, option third "The original amount of the mortgage" is correct because every month that passes, the amount left to pay decreases.

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[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \:x = 5/2 [/tex]

[tex] \qquad \tt \rightarrow \: y = 3/2[/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

[tex]\qquad \tt \rightarrow \: x = \cfrac{y}{3} + 2 \: \: \: \: \: \: \: \: - (1)[/tex]

[tex]\qquad \tt \rightarrow \: 7x -5 y = 10 \: \: - (2)[/tex]

[tex] \textsf{put value of x in equation 2} [/tex]

[tex]\qquad \tt \rightarrow \: 7 \bigg( \cfrac{y}{3} + 2 \bigg) - 5y = 10 [/tex]

[tex]\qquad \tt \rightarrow \: \cfrac{7y}{3} + 14 - 5y = 10 [/tex]

[tex]\qquad \tt \rightarrow \: \cfrac{7y}{3} - 5y = 10 - 14[/tex]

[tex]\qquad \tt \rightarrow \: \cfrac{7y - 15y}{3} = - 4[/tex]

[tex]\qquad \tt \rightarrow \: - 8y = - 4(3)[/tex]

[tex]\qquad \tt \rightarrow \: y = \cfrac{ - 12}{ - 8} [/tex]

[tex]\qquad \tt \rightarrow \: y = \cfrac{ 3}{ 2} [/tex]

[tex] \textsf{put value of y in equation 1 } [/tex]

[tex]\qquad \tt \rightarrow \: x = \cfrac{y}{3} + 2[/tex]

[tex]\qquad \tt \rightarrow \: x = \bigg (\cfrac{3}{2} \sdot\cfrac{1}{3} \bigg) + 2[/tex]

[tex]\qquad \tt \rightarrow \: x = \cfrac{1}{2} + 2[/tex]

[tex]\qquad \tt \rightarrow \: x = \cfrac{1 + 4}{2} [/tex]

[tex]\qquad \tt \rightarrow \: x = \cfrac{5}{2} [/tex]

Answer:

-4n+7

Step-by-step explanation:

because you take away 4 each time and the nber that would come before 3 is 7.

There are two triangles in the figure(triangular prism) option third is correct.

When a triangle is, stretch it out to produce a stack of triangles, one on top of the other. A triangular prism is a name given to this novel 3D object.

The complete question is:

How many triangles are needed to draw the net of this object?

For the figure please refer to the attached picture.

As we can see in the figure we have given a triangular prism:

The triangular prism has two triangles.

A triangle for the base of the prism and a triangle for the top of the prism.

The lateral faces of the prism are rectangular.

Thus, there are two triangles in the figure(triangular prism) option third is correct.

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Answer:

C will be your answer.

Please Mark as brainlist!

Answer:

Nobody likes a short, one-word-answer. Let’s make sure other people understand everything.

Step-by-step explanation:

By lisa Simpson

Answer:

9

Step-by-step explanation:

Answer:

2.4 hours

Step-by-step explanation:

Because 1 hour Randy clean 1/4 of the room and Trey is 1/6. So we add both together and get that they clean 5/12 of the office in one hour. So 2.4 hours is the greatest amount of time it would take them to clean offices together

Answer:

70.04 cm²

Step-by-step explanation:

Area = base x height

10.3 x 6.8 = 70.04

Hope this helps :)

Answer:

Jim:  2/9

Step-by-step explanation:

8/9-4/6

48/54-36/54          [Convert each fraction to a common denominator:  54

                              Multiply (8/9)*(6/6)=48/54;  Multiply (4/6)*(9/9) = 36/54]

 48/54-36/54 = 12/54

12/54 can be reduced to 2/9

Jim also has 2/9

Sue- 8/9-4/6=4/3 or 1 1/3:  Sue subtracted both the numerator and denominator.  This is not correct.

Jim- 8/6 - 4/6 = 48/54 - 36/54= 12/54 or 2/9:  Good Job Jim

Bob- 8/9- 4/6 = 8/54-4/54= 4/54 = 2/27:  Bob converted both denominators to 54, but did not multiply the numerators by the same numbers.  Bad Bob.

Answer:

h = A / ( 1/2 a - 1/2 b)

Step-by-step explanation:

A = ½ ah - ½ bh

Factor out an h

A = h( 1/2 a - 1/2 b)

Divide each side by ( 1/2 a - 1/2 b)

A / ( 1/2 a - 1/2 b) = h ( 1/2 a - 1/2 b)/ ( 1/2 a - 1/2 b)

A / ( 1/2 a - 1/2 b) = h

h = A / ( 1/2 a - 1/2 b)

The fraction of the counters that Lesleay gets is 5/9.

A fraction is a quantity that is not a whole number. In maths, a fraction usually has a numerator and a denominator. An example is 1/2.

The fraction of the counters that Lesleay gets = number of counters she gets / total number of counters

10/18 = 5/9

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Answer: 1230

Step-by-step explanation:

[tex]V=\frac{1}{3}(\pi)(r^{2)h=\frac{1}{3}(\pi)(7^{2})(24) \approx \boxed{1230 \text{ cm}^{3}}[/tex]