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3 years ago

What is the square root of m to the power of 6

Mathematics

1 answer:

zheka24 [161]3 years ago

3 0

Step-by-step explanation:

$\sqrt{m^6}=\sqrt{m^{3\cdot2}}\qquad\text{use}\ (a^n)^m=a^{nm}\\\\=\sqrt{(m^3)^2}\qquad\text{use}\ \sqrt{a^2}=|a|\\\\=|m^3|\\\\\text{if}\ m\geq0,\ \text{then}\ \sqrt{m^6}=m^3\\\\\text{if}\ m$

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insens350 [35]

Answer:

A) He should take the route with 4 crossings

B) The probability that he took the 4 crossing route is 0.2158

Step-by-step explanation:

Lets call X the number of crossings he encounters, A if he takes route 1 and B if he takes route 2.

Note that X given A is a binomial random variable with parameters n = 4 p = 0.1, and X given B has parameters n = 2, p = 0.1

The probability that the Professor is on time on route 1 is equal to

P(X|A = 0) + P(X|A = 1) = 0.9⁴ + 0.9³*0.1*4 = 0.9477

On the other hand, the probability that the professor is on time on route 2 is

P(X|B = 0) = 0.9² = 0.81

Hence, it is more likely for the professor to be late on route 2, thus he should take the route 1, the one with 4 crossings.

B) Lets call L the event 'The professor is late'. We know that

P(L|A) = 1-0.9477 = 0.0524

P(L|B) = 1-0.81 = 0.19

Also

P(A) = P(B) = 1/2 (this only depends on the result of the coin.

For the Bayes theorem we know, therefore that

$P(A|L) = \frac{P(L|A) * P(A)}{P(L|A)*P(A) + P(L|B)*P(B)} = \frac{0.0523*0.5}{0.0523*0.5 + 0.19*0.5 } = 0.2158$

Hence, the probability that he took the 4 crossing route is 0.2158.

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4 years ago

A theater seats 1,860 people. The last 6 shows have been sold out. Estimate the total number of people attending the last 6 show

Ivenika [448]

Answer: 11160 is your answer for this question

Step-by-step explanation:

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4 years ago

The expression 36 * 6 • 2 + 1 ls equal to 4 18 2. 13

Serggg [28]

Answer:

Step-by-step explanation:

36/6*2+1=?

First, do 36/6, which equals 6.

Then do 6 times 2 which equals 12.

12+1= 13

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3 years ago

I got disconnected from my tutor, can't reconnect. need an explanation

kherson [118]

The absolute value function |x| always returns a non-negative number. It takes any number x and returns x if it's already non-negative, or -x if it is negative in order to make it positive.

$|x|=\begin{cases}x&\text{for }x\ge0\\-x&\text{for }x$

For the equation

-3 + 4 |2x - 5| = 14

rearrange terms to get

|2x - 5| = 17/4

Now,

• if 2x - 5 ≥ 0, then |2x - 5| = 2x - 5. Then

2x - 5 = 17/4

• and if instead 2x - 5 < 0, then |2x - 5| = -(2x - 5), so that

-(2x - 5) = 17/4, or

2x - 5 = -17/4

In the first case,

2x - 5 = 17/4

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In the second case,

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3 years ago

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Bezzdna [24]

Answer:

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Step-by-step explanation:

Here, we are interested in writing an equation for the total cost of the apples and bananas

before we write , kindly understand that 100p = £1

So the cost of apple which is 15p will be 15/100 =£ 0.15

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So the total cost of the apples and bananas will be;

0.15x + 0.20y = 1.80

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3 years ago

What is the square root of m to the power of 6​

What is the square root of m to the power of 6