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3 years ago

What is the square root of 75x2y

Mathematics

1 answer:

tatuchka [14]3 years ago

7 0

Answer:

$5 \sqrt{6y}$

Step-by-step explanation:

75×2y =150y

$\sqrt{150y} = 5 \sqrt{6y}$

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Travelers who fail to cancel their hotel reservations when they have no intention of showing up are commonly referred to as no-s

notsponge [240]

Answer:

a) 0.0523 = 5.23% probability that at least two of the four selected will turn to be no-shows.

b) 0 is the most likely value for X.

Step-by-step explanation:

For each traveler who made a reservation, there are only two possible outcomes. Either they show up, or they do not. The probability of a traveler showing up is independent of other travelers. This means that the binomial probability distribution is used 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.

No-show rate of 10%.

This means that $p = 0.1$

Four travelers who have made hotel reservations in this study.

This means that $n = 4$

a) What is the probability that at least two of the four selected will turn to be no-shows?

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

In which

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

$P(X = 2) = C_{4,2}.(0.1)^{2}.(0.9)^{2} = 0.0486$

$P(X = 3) = C_{4,3}.(0.1)^{3}.(0.9)^{1} = 0.0036$

$P(X = 4) = C_{4,4}.(0.1)^{4}.(0.9)^{0} = 0.0001$

$P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4) = 0.0486 + 0.0036 + 0.0001 = 0.0523$

0.0523 = 5.23% probability that at least two of the four selected will turn to be no-shows.

b) What is the most likely value for X?

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

$P(X = 0) = C_{4,0}.(0.1)^{0}.(0.9)^{4} = 0.6561$

$P(X = 1) = C_{4,1}.(0.1)^{1}.(0.9)^{3} = 0.2916$

$P(X = 2) = C_{4,2}.(0.1)^{2}.(0.9)^{2} = 0.0486$

$P(X = 3) = C_{4,3}.(0.1)^{3}.(0.9)^{1} = 0.0036$

$P(X = 4) = C_{4,4}.(0.1)^{4}.(0.9)^{0} = 0.0001$

X = 0 has the highest probability, which means that 0 is the most likely value for X.

7 0

2 years ago

In a line of students. Jenna is number 8. The teacher says that a rule for a number patter is add 4. The first student in line s

tatyana61 [14]

She says 35 because number 7 in line says 31, so 31+4=35...

I hope this helped you!

7 0

3 years ago

If RT is greater than BA, which correctly compares c and s

Fofino [41]

Answer:

Step-by-step explanation:

The answer is B

By the converse of the hinge theorem, mC = mS. FALSE. EITHER ANGLE IS LARGER THAN THE OTHER

By the hinge theorem,TS > AC. FALSE. CONGRUENT SIDES BASED ON THE GIVEN IMAGE.

By the converse of the hinge theorem, mS > mC.the statement that is true

By the hinge theorem, BA = RT. FALSE. 3RD SIDE OF EITHER TRIANGLE WILL BE LONGER THAN THE OTHER.

3 0

3 years ago

PLEASE HELP !! WHAT IS THE ANSWER TO THIS PROBLEM??

choli [55]

Answer:

The formulas for area of a triangle and area of a square

Step-by-step explanation:

5 0

3 years ago

−2 1/6 divided by 1 1/4<br> 100 points

galina1969 [7]

Answer:

-1 11/15

Step-by-step explanation:

<u>−2 1/6 divided by 1 1/4:</u>

-2 1/6 ÷ 1 1/4 =
- 13/6 ÷ 5/4 =
- 13/6 × 4/5 =
- 26/15 =
-1 11/15

8 0

3 years ago

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What is the square root of 75x2y​

What is the square root of 75x2y