Choose whether the probability is mutually exclusive or not
answer choice is:
mutually exclusive or not mutually exclusive

P(A) = 2/5 P(B) = 1/2 P(A or B) = 9/10

Answer:

The roots of the of the function are 2,3 and 4.

Step-by-step explanation:

The given function is

f(x) = x³ - 9x² + 26x - 24

It is given that x=2 is a root of the function. So (x-2) is a factor of f(x).

According to the remainder theorem if a function is divided by (x-c), then the remainder is equal to f(c). If f(c) is equal to 0, therefore c is the root of the function.

Use synthetic method to divide f(x) by (x-2).

f(x) = (x - 2) (x² - 7x + 12)

f(x)= (x - 2) (x² - 4x - 3x + 12)

f(x)= (x - 2) (x(x - 4) - 3(x - 4))

f(x)= (x - 2) (x - 4) (x - 3)

To find the roots equation the function equate the function equal to 0.

0 = (x - 2) (x - 4) (x - 3)

Equate each factor equal to 0.

x = 2,3,4

Therefore the roots of the function are 2,3 and 4.

(btw this is someone else's answer i found since i got a little confused myself heh)

Answer:

The roots of the of the function are 2,3 and 4.

Step-by-step explanation:

\The roots of the of the function are 2,3 and 4.

Answer:

2x^3

Solution

You simplify to the lowest value possible 4x^6

2x^3

Answer: $2

Step-by-step explanation: 20 percent of 10 is 2

Hope I did this right

The selling cost of the mug is the amount of $12.

The percentage is defined as a ratio expressed as a fraction of 100.

For example, If Misha obtained a score of 57% on her exam, that corresponds to 67 out of 100.

We have been given that Aden spent $10 on a mug and then sold it, making a 20% profit.

The original cost of the mug is $10.

The selling cost of the mug = original cost + 20% of the original cost

The selling cost of the mug = $10 + 20% of $10

The selling cost of the mug = 10 + (20/100)10

The selling cost of the mug = 10 + 0.20 × 10

The selling cost of the mug = 10 + 2

The selling cost of the mug = $12

Therefore, the selling cost of the mug is the amount of $12.

Learn more about the percentages here:

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Answer:

C. c = 64

Step-by-step explanation:

The question is incomplete. Here is the complete question.

What value of c makes the equation true? Assume x greater-than 0 and y greater-than 0

RootIndex 3 StartRoot StartFraction x cubed Over c y Superscript 4 Baseline EndFraction EndRoot = StartFraction x Over 4 y (RootIndex 3 StartRoot y EndRoot) EndFraction

c = 12

c = 16

c = 64

c = 81

Given the function;

[tex]\sqrt[3]{\dfrac{x^3}{cy^4} } = \dfrac{x}{4y\sqrt[3]{y} }[/tex]

We are to find the value of c from the expression.

Step 1: Take the cube of both sides;

[tex](\sqrt[3]{\dfrac{x^3}{cy^4} } )^3= (\dfrac{x}{4y\sqrt[3]{y} })^3\\\dfrac{x^3}{cy^4} = \dfrac{x^3}{(4y)^3(\sqrt[3]{y} )^3}\\\dfrac{x^3}{cy^4} = \dfrac{x^3}{(64y^3)(y)}\\\\\dfrac{x^3}{cy^4} = \dfrac{x^3}{64y^4}\\[/tex]

Step 2: compare the denominator of both sides of the equation;

[tex]\dfrac{x^3}{cy^4} = \dfrac{x^3}{64y^4}\\\\On \ comparing;\\\\cy^4 = 64y^4\\[/tex]

Step 3: Divide both sides by y₄

[tex]\dfrac{cy^4}{y^4} = \dfrac{64y^4}{y^4}\\c = 64\\[/tex]

Hence the value of c is 64. Option C is correct

Answer:

C is the anwser

Step-by-step explanation:

my bf told me to pick c, so therfore it is the right anwser. lol no but fr i did get it right on edge

Answer:

Step-by-step explanation:

Step one:

Given data

Circle A

diamteter= 20 in

Area= 314 in^2 approx. 300in^2

Circle B

diamteter= 60 in

Area= 2826in^2 approx. 2700in^2

Step two:

Circle C

diamteter= 40 in

radius= 20 in

The expression for A is given as

A=πr^2

A=3.142*20^2

A=3.142*400

A=1256.8

The area of circle C is 1256.8in^2

Answer: d + 0.055d or 1.055d

Step-by-step explanation:

Cost of item = d

Sales tax percent = 5.5%

Total cost = Cost of item + Sales tax

= d + (5.5% × d)

= d + (5.5/100 × d)

= d + (0.055 × d)

= d + 0.055d

= 1.055d

Therefore, the expression that represents the total cost of the item, in dollars and cents, after tax will be:

d + 0.055d or 1.055d.

Answer:

177 yards

Step-by-step explanation:

3 feet - 1 yard, so we have 3 yards for each balloon.

He wants 59 balloons, so 59 x 3 = 177

Answer:

The required answer is [tex]y=-\mathbf{\frac{3}{2}}x\\[/tex]

Step-by-step explanation:

We are given that value of x and y vary directly so , if two values vary directly we can write

y∝x

y=kx

Now, we are given x=-4 and y=6 and we have to fill in the blank. We actually have to find value of k i.e y=____x . Yhe blanks must be filled by value of k because y=kx

Using values of x and y i.e x=-4 and y=6 to find value of k

[tex]y=kx\\6=k(-4)\\Divide \ both \ sides \ with \ -4\\\frac{6}{-4}= \frac{k(-4)}{-4} \\k=\frac{-3}{2}[/tex]

The value of k is [tex]\mathbf{\frac{-3}{2}}[/tex]

So, the required answer is [tex]y=-\mathbf{\frac{3}{2}}x\\[/tex]

Answer:

10≥x<20

Step-by-step explanation:

Answer:

No.

Step-by-step explanation:

I believe that the number above is irrational, because it repeats.

Answer: total cost of the stuff she buys ≤ 18 since she only has 18 dollars to buy stuff

Step-by-step explanation:

let's add up the cost of the stuff she buys:

- a flat cost of $6.50

- a savings of $5.75 (she's technically not spending money but we can count this as part of her expenses since it's taking away from the 18 dollars)

- some number (x) candy bars. if each candy bar costs $1.15 then the money she spends on candy bars is $1.15

with that being said:

6.50 + 5.75 + 1.15x ≤ 18

solve for x

since we are talking about whole # candy bars, if you get a decimal from this, round down to the nearest whole #

Answer:

Andrea can buy 5 candy bars.

Step-by-step explanation:

First to solve this we will subtract 6.50 from 18 because Andrea already spent that money. Then we must subtract 5.75 from 18 because Andrea can't spend that money. All the subtracting equals 5.75. After that we can divide the remaining money by 1.15 to see how many candy bars we can buy which equals 5. Finally the answer is that Andrea can buy 5 candy bars.

5.4p +13.1 = −2.6p+3.5 .

5.4p + 2.6p = 3.5 -13.1

8.0p = -9.6

p = -9.6 / 8

p = -1.2

To find slope, we must use the slope formula*.

[tex]m = \frac{2 - 0.5}{2 - (-2.5)} = \frac{1.5}{4.5}[/tex]

The slope is 1.5/4.5.

Given:

The perimeter of a triangle is 59 cm.

The first side is 7 cm shorter than the second side.

The third side is 4 cm less than twice the length of the first side.

To find:

The length of each side.

Solution:

Let x be the second side.

Then, according to the question,

First side = x-7

Third side = 2(x-7)-4

Perimeter of a triangle is the sum of all of its sides.

[tex](x-7)+x+(2(x-7)-4)=59[/tex]

[tex]x-7+x+2x-14-4=59[/tex]

[tex]4x-25=59[/tex]

Add 25 on both sides.

[tex]4x=59+25[/tex]

[tex]4x=84[/tex]

Divide both sides by 4.

[tex]x=21[/tex]

Now,

First sides =21 - 7=14 cm

Second side = 21 cm

Third side = 2(14)-4 = 24 cm

Therefore, the three sides of triangle are 14 cm, 21 cm and 24 cm respectively.

Answer:

1.0909090909

Step-by-step explanation:

6÷5.5 is 1.0909090909

round to 1 ig

Answer:

4 patients per hour.

Step-by-step explanation:

1 1/2 hour = 90 minutes

90min/6p= 15min per patient

60min/15min= 4

Answer: -1 would be greater than negative two, along with 20, 1000.

-2 is a negative number, so any number that is -1 or higher is greater than -2

Answer:

1,2,3

Step-by-step explanation:

Answer: B?

Step-by-step explanation:

Answer:

Go for B

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

J

Step-by-step explanation:

Step 1: solve for y

Step 2: graph y, use dashed line

Step 3: Shade in solutions, here y>3 so everything bigger then 3 is a solution.

Answer:

Actually, I didn't get your question, is it -3/8÷ -1/3 or -1/3÷ -3/8?

If it is -3/8÷ -1/3, the answer will be 9/8

But if is -1/3÷ -3/8, the answer will be 8/9

Step-by-step explanation:

-3/8÷ -1/3

= -3/8× 3/-1

= -9/-8

= 9/8

If your question is -1/3÷ -3/8, the answer is 8/9 in the same way.

The given linear system is:

[tex]\displaystyle \left \{ {{5x+7y=33} \atop {11x+7y=39}} \right.[/tex]

The question is asking to solve using elimination. When eliminating, you can either eliminate x or y. In this system, y is much easier to eliminate. The y variable in both equations are 7y. To eliminate, one of them has to be negative, so multiply one of the equations by -1.

I will be multiplying the second equation by -1.

[tex]\displaystyle (11x + 7y = 39) \times -1 = -11x-7y=-39[/tex]

Rewrite the system:

[tex]\displaystyle \left \{ {{5x+7y=33} \atop {-11x-7y=-39}} \right.[/tex]

Subtract:

[tex]5x+7y=33\\-11x-7y=-39[/tex]

[tex]5x-11x=33-39\\-6x=-6[/tex]

Lastly, you need to leave the variable x alone. The variable is currently -6x or -6 times x. To remove it, you need to do the opposite of it, which is dividing by -6.

[tex]\displaystyle \frac{-6x}{-6} =\frac{-6}{-6}[/tex]

[tex]\displaystyle x=1[/tex]

Now that you have the value of x, substitute it into one of the equations to find y. I will be substituting it into the first equation.

[tex]5x+7y=33 \rightarrow 5(1)+7y=33[/tex]

Open the parentheses and multiply:

[tex]5+7y=33[/tex]

Move 5 to the other side to leave the variable alone:

[tex]5+7y-5=33-5[/tex]

You will be subtracting since you're "removing" it by doing the opposite of it.

[tex]7y=28[/tex]

Lastly, divide both sides by 7 to leave y alone.

[tex]\displaystyle \frac{7y}{7} =\frac{28}{7}[/tex]

[tex]y=4[/tex]

[tex]\displaystyle (x,y) \rightarrow (1, 4)[/tex]

The answer is (1, 4).

Answer:

(1, 4)

Tbh this question was a bit of a challenge for me but hopefully it helps ya.

Step-by-step explanation:

First, let's solve for y. So we have to eliminate the x values.

(5x + 7y = 33 ) *11

(11x + 7y = 39) *-5

___________

55x + 77y = 363

-55x -35y = -195   This eliminates the x value.

42y = 168 Divide both sides by 42 to isolate y: 168/42=   y = 4

Now let's solve for x.

(11x + 7y = 39) *7

(5x + 7y = 33 ) *-7

___________

77x + 49y = 273

-35x -49y = -231   This cancels out the y values, which leaves 42x = 42

x = 1 and y = 4, so the answer is (1, 4)

Step-by-step explanation:

[tex]{:}\longrightarrow[/tex][tex]\sf 13x-12=7x-6 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 13x-7x=-6+12 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 6x=6 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x={\dfrac{6}{6}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x=1 [/tex]

Answer:

সৌরজগতে গ্রহগুলির ক্রম, সূর্যের নিকটতম সূচনা এবং বাইরের দিকে কাজ করা নিম্নরূপ: বুধ, শুক্র, পৃথিবী, মঙ্গল, বৃহস্পতি, শনি, ইউরেনস, নেপচুন এবং তারপরে সম্ভাব্য প্ল্যানেট নাইন। আপনি যদি প্লুটোকে অন্তর্ভুক্ত করার জন্য জেদ করেন তবে তা নেপচুনের পরে তালিকায় আসবে

আশাকরি এটা সাহায্য করবে

Answer:

42 seeds

Step-by-step explanation:

You would first divide 1,134 seeds by 27 rows. You would get 42 seeds per row, and that would be your answer.

Answer:

If I get 2=3 in solving the system, it means the following:

Step-by-step explanation:

The solution of linear system of equations implies that a point has to be found that holds true on all equations involved.

The system may consist of two equations involving two unknowns or may consist of three equation with three unknowns.

When a system of equation has no solution, the variables are removed in solving the equations and we get an equation or values in the form.

constant = constant

So,

If I get 2=3 in solving the system, it means the following:

Answer:

first equation and second equation

Step-by-step explanation:

it is more easier because both of them have the same y

Answer:

Use equation (1) and equation(2) and eliminate 4y+z

Step-by-step explanation:

3x-4y+z=-5     ...(1)

6x-4y+z=1        ...(2)

x+y+z=6          ...(3)

First, you find the equation that you can use the elimination method on;

there are multiples of them.

However, I would use equation (1) and equation(2) and eliminate 4y+z :

 3x-4y+z=-5

- 6x-4y+z=1  

         -3x=-6

            x=2

As you can see, both the terms with y and z are eliminated in one step, exposing the variable x.

From here is just my advice:

There are multiple ways for you to answer this question. In math, the process may sometimes not matter if the answer was correct. Nevertheless, you should try finding one way that fits you or makes it easier to solve. I personally think that how I have been trying this helped me later when math got more complicated. (Also, it was fun for me to find another way that I was not taught of)

GOOD LUCK!! and I HOPE THIS HELPS YOU!!!!

Answer:

X > 3

Step-by-step explanation:

The sentence as an inequality will be x > 3.

It is given that a number x is greater than 3.

We have to represent the sentence as an inequality.

What do you mean by inequalities ?

Inequalities are the expressions in which both sides are not equal and the equal sign in between is replaced by less than , greater than, etc.

As per the question ;

A number x is greater than 3.

So ,

Number is x.

and

It is greater than 3

i.e.,

we need to use a sign of greater than to represent the inequality i.e., > sign.

So ,

The sentence as an inequality can be written as ;

x > 3.

Thus , the sentence as an inequality will be x > 3.

To learn more about inequalities click here ;

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