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4 years ago

X^3-13x^2+40x=0 quadratic

Mathematics

1 answer:

lutik1710 [3]4 years ago

6 0

Answer:

x(x-5)(x-8)

x=5

x=8

Step-by-step explanation:

x(x^2-13x+40)
x(x-5) (x-8)

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Which representation would be best for determining between which two values 50% of the data will lie?

trapecia [35]

Step-by-step explanation:

My Own Answer please make me Brianliest

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2 years ago

How many feet are in 8 meters 1m=3.3ft

Alborosie

Answer:

26.4 ft

Step-by-step explanation:

3.3x8

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3 years ago

Read 2 more answers

Timothy creates a game in which the player rolls 4 dice. What is the probability in this game of having exactly two dice or more

devlian [24]

Answer:

B. 0.132

Step-by-step explanation:

For each time the dice is thrown, there are only two possible outcomes. Either it lands on a five, or it does not. The probability of a throw landing on a five is independent of other throws. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

Timothy creates a game in which the player rolls 4 dice.

This means that $n = 4$

The dice can land in 6 numbers, one of which is 5.

This means that $p = \frac{1}{6}$

What is the probability in this game of having exactly two dice or more land on a five?

$P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 2) = C_{4,2}.(\frac{1}{6})^{2}.(\frac{5}{6})^{2} = 0.116$

$P(X = 3) = C_{4,2}.(\frac{1}{6})^{3}.(\frac{5}{6})^{1} = 0.015$

$P(X = 4) = C_{4,4}.(\frac{1}{6})^{4}.(\frac{5}{6})^{0} = 0.001$

$P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4) = 0.116 + 0.015 + 0.001 = 0.132$

So the correct answer is:

B. 0.132

8 0

3 years ago

What is the simplest form of the expression? sqr root 6x^8y^9/ sqr root 5x^2y^4

expeople1 [14]

For slightly greater clarity, write this expression as

sqrt(6x^8y^9) 6x^8y^9
-------------------- This is equivalent to sqrt[ -------------------- ]
sqrt(5x^2y^4) 5x^2y^4

Reduce the quantity inside the square brackets, obtaining:

6*x^6*y^5
sqrt[ ---------------- ]
5

This simplifies as follows: sqrt[ 6/5 ] * [ x^3 * y^(5/2)

which can be simplified even further if you wish.

4 0

3 years ago

A research team conducted a study showing that approximately 20% of all businessmen who wear ties wear them so tightly that they

Masteriza [31]

Answer:

1. 0.9648

2. 0.602

3. 0.0352

4. 0.398

Step-by-step explanation:

We solve using binomial probability

n = 15

P = 20% = 0.2

1. At least 1 is tight

= P(X>=1)

P(X>=1) = 1-p(X= 0)

= P(x=0)

= 15C0(0.20)⁰(1-0.20)^15-0

= 15C0(0.20)⁰(80)¹⁵

= 0.0352

P(x>=1) = 1-0.0352

= 0.9648

More than 2 ties tight

P(X>2)

P(X>2) = 1-p(X<=2)

p(X<=2) = p(x=0) + p(x=1) + p(x=2)

= p(x=0) = 0.0352

p(x=1) = 15C1(0.20)¹(0.80)¹⁴

= 0.1314

p(x=2) = 15C2(0.20)²(0.80)¹³

= 0.2309

P(x>2) = 1-(0.0352+0.1314+0.2309)

= 0.602

No ties is tight

P(X = 0)

= 15C0(0.20)⁰(0.80)¹⁵

= 0.0352

At least 3 are not tight

This says that at most we have 3 to be too tight

= p(X<=2) = p(x=0) + p(x=1) + p(x=2)

= 0.0352+0.1319+0.2309

= 0.398

7 0

3 years ago