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Mathematics High School

The probability of event A is .43, the probability of event B is .32, and the probability of event C is .66. What is the probability of all three events occurring at the same time?

2 months ago

Solution 1

Guest #320

2 months ago

That would found by multiplying them together:-

= 0.43*0.32*0.66 = 0.0908 Answer

📚 Related Questions

Question

If p(x) = 2x^3 - 3x + 5, what is the remainder of p(x) divided by (x - 5)

Solution 1

The question is

if p(x)= 2x³-3x+5, what is the remainder of p(x) divided by (x-5)

We use the synthetic division to find the remainder,

x-5=0

x=5

Now, write the coefficients of polynomial.

5 | 2 0 -3 5

| ↓ 10 50 235

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

2 10 47 | 240→ is the remainder.

Quotient= 2x²+10x+47

Remainder= 240

Solution 2

The remainder of $P\left( x \right) = 2{x^3} - 3x + 5$ divided by $\left( {x - 5}\right)$ is

Explanation:

If division of a polynomial by a binomial result in a remainder of zero means that the binomial is a factor of polynomial.

The polynomial is $P\left( x \right) = 2{x^3} - 3x + 5$ and $\left( {x - 5} \right).$

The numerator of the division is $P\left( x \right) = 2{x^3} - 3x + 5$ and the denominator is

Solve the given polynomial $P\left( x \right) = 2{x^3} - 3x + 5$ by the use of synthetic division.

Now obtain the value of $x$ from the denominator.

$\begin{aligned}x - 5 &= 0\\x&= 5\\\end{aligned}$

Divide the coefficients of the polynomial by $5.$

$\begin{aligned}5\left| \!{\nderline {\,{2\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,0\,\,\,\,\,\,\,\,\,\,\,\,\, - 3\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,5} \,}} \right. \hfill\\\,\,\,\,\underline{\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,10\,\,\,\,\,\,\,\,\,\,\,\,\,50\,\,\,\,\,\,\,\,\,\,\,\,\,\,235}\hfill\\\,\,\,\,\,2\,\,\,\,\,\,\,\,\,\,\,\,\,10\,\,\,\,\,\,\,\,\,\,\,\,\,47\,\,\,\,\,\,\,\,\,\,\,\,\,\,240\hfill\\\end{aligned}$

The last entry of the synthetic division tells us about remainder and the last entry of the synthetic division is $240$ .Therefore, the remainder of the synthetic division is $240.$

The remainder of $p\left( x \right) = 2{x^3} - 3x + 5$ divided by $\left( {x - 5}\right)$ is $\boxed{240}.$

Learn more:

1. Learn more about inverse of the functionhttps://brainly.com/question/1632445.

2. Learn more about equation of circle brainly.com/question/1506955.

3. Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Synthetic Division

Keywords: division, binomial synthetic division, long division method, coefficients, quotients, remainders, numerator, denominator, polynomial, zeros, degree.

Question

Find the product. (a2)(2a3)(a2 – 8a + 9) 2a7 – 16a6 + 18a5 2a7 – 16a6 – 18a5 2a8 – 16a7 + 18a6 2a12 – 16a7 + 18a6 consider the degree of each polynomial in the problem. the first factor has a degree of . the second factor has a degree of . the third factor has a degree of . the product has a degree of .

Solution 1

Answer: $2x^7 -16a^6 +18a^5$

Step-by-step explanation: Given expression $(a^2)(2a^3)(a^2-8a + 9)$ .

The first factor $(a^2)$ has a degree of : 2 because power of a is 2.

The second factor $(2a^3)$ has a degree of : 3 because power of a is 3.

The third factor $(a^2-8a + 9)$ has a degree of : 2 because highest power of a is 2.

Let us multiply them now:

$(a^2)(2a^3)(a^2-8a + 9).$

First we would multiply $(a^2)(2a^3)$ .

According to product rule of exponents, we would add the powers of a.

Therefore,

$(a^2)(2a^3) = 2a^{2+3}= 2a^5$

Now, we need to distribute $2a^5$ over $(a^2-8a + 9)$

Therefore,

$(2a^5)(a^2-8a + 9)= 2a^{5+2} -16a^{5+1}+18a^5$

= $2x^7 -16a^6 +18a^5$

Highest power of resulting polynomial $2x^7 -16a^6 +18a^5$ is 7.

Therefore, The product has a degree of 7.

Solution 2

Answer:

Step-by-step explanation:

2a7 – 16a6 + 18a5

Question

For the function shown below, find f(3): f(x)=2x^4-8x^2+5x-7

Solution 1

We have been given the function

$f(x)=2x^4-8x^2+5x-7$

We have to find the value of f(3). In order to find the same, substitute x=3 in the given function.

$f(3)=2(3)^4-8(3)^2+5(3)-7$

Now, we simplify this step by step.

First of all $3^4=81\text{ and }3^2=9$ . Thus, we have

$f(3)=2\times 81 -8\times 9+5(3)-7$

Now, we can easily simplify it by PEMDAS

$f(3)=162-72+15-7$

$f(3)=98$

Therefore, the value of f(3) is 98.

Solution 2

98 is your answer plug the three in for any x value

Question

The antarctic peninsula is less than 700 miles from what continent

Solution 1

The answer would be south america is is a total of 1.130 kilometers away or 700 miles sorry if i got to you to late

Question

Kenya is reserving a room in a hotel in France where they use euros (€). The room charge is €75. Suppose the conversion rate is €1 = $1.298. What is the cost of the room in dollars?

Solution 1

Answer:

$97.35.

Step-by-step explanation:

We have been given that Kenya is reserving a room in a hotel in France where they use euros (€). The room charge is €75.

We will use dollar to euro conversion rate to solve our given problem.

€1 = $1.298.

To find the cost of the room in dollars, we will multiply $1.298 by 75.

$\text{The cost of the room in dollars}=\$1.298\times 75$

$\text{The cost of the room in dollars}=\$97.35$

Therefore, the cost of the room is $97.35.

Solution 2

The room charge = 75 euros
1 euro = $ 1.298

Cost of the room in dollars = Room charge * dollar/euro
= 75*1.298
= $ 97.35

Question

Dustin is driving his car at speed of 50 kilometres per hour. he going to texas which is located 345 kilometres from his starting point.how long will it take him to reach texas?

Solution 1

It will take him about 7 hours

Question

the sum of the digits of a certain two-digits number is 7.Reversing its digits increases the number by 9.What is the number

Solution 1

The answer is 34. 3+4=7. 43-34=9. I hope this helps.

Question

Emma enjoys flying kites. her red kite has a maximum altitude of 117.46 meters, and her black kite has a maximum altitude of 362.26 feet. one foot is the same as 0.3048 meters. which kite has a higher maximum altitude, and how many feet higher is it?

Solution 1

Answer:

Red kite has maximum altitude with 23.1 feet higher.

Step-by-step explanation:

Given : Emma enjoys flying kites. her red kite has a maximum altitude of 117.46 meters, and her black kite has a maximum altitude of 362.26 feet.

one foot is the same as 0.3048 meters.

To find : Which kite has a higher maximum altitude, and how many feet higher is it?

Solution :

First we have to convert meter into feet.

We have given, 1 feet = 0.3048 meters.

$1 \text{ meter }=\frac{1}{0.3048} \text{ feet}$

So, red kite has a maximum altitude of 117.46 meters

In feet, red kite has a maximum altitude of

$117.46\text{ meter }=\frac{117.46}{0.3048}=385.36 \text{ feet}$

Now, Red kite has a maximum altitude of 385.36 feet

Black kite has a maximum altitude of 362.26 feet.

385.36>362.26 feet.

Difference is 385.36-362.26=23.1 ft.

Therefore, Red kite has maximum altitude with 23.1 feet higher.

Solution 2

1) let's convert the maximum altitude of the black kite from feet to meters. We can do it by using the following proportion:
$1 ft : 0.3048 m = 362.26 ft : x$
From which we find
$x=110.42 m$
This is the maximum altitude (in meters) of the black kite. The problem says that the maximum altitude of the red kite is 117.46 m, therefore the red kite is the one with higher maximum altitude.

2) Let's convert the maximum altitude of the red kite from meters to feet, again by using the proportion:
$1 ft : 0.3048 m = x : 117.46 m$
From which we find
$x=385.37 ft$
Therefore, the maximum altitude of the red kite in feet is 385.37 ft.

Question

the combined land area of the countries a and b is 186,973 square kilometers. Country a is larger by 373 square kilometers determine the land area of each country

Solution 1

So a+b=186973

a is bigger than b by 373
that means
b+373=a
so we subsitute
a+b=186973
b+373+b=186973
subtract 373 from both sides
b+b=186600
2b=186600
divide both sides by 2
b=93300

subsitute
b+373=a
93300+373=a
93673=a

a=93673 km^2
b=93300 km^2

Question

In bridge each player is dealt a hand of 13 cards from a deck of 52 cards. there are 4 aces in the entire deck. what are the expected number of aces in a single hand of cards?

Solution 1

P(ace card) = 4/52 = 1/13

Expected number of aces in a single hand of cards = 1/13 x 13 = 1

Answer: 1 ace card

Solution 2

One ace card is the answer

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