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3 years ago

Compare -2/3, -2/8 Write <, > or = A. = B. < C. >

Mathematics

1 answer:

nadya68 [22]3 years ago

4 0

Answer:

$\boxed{\bold{< \ -\frac{2}{8}}}$

Step-by-step explanation:

Find LCD of the two fractions

LCD = 24

Rewrite fractions

$\bold{-\frac{16}{24} }$ ____ $\bold{-\frac{6}{24} }$

Just because 6 is smaller than 16, doesn't mean 6 isn't larger. If you have more of something, the portions will be smaller. If you have less of something, the portions will be bigger.

$\bold{-\frac{2}{3} }$ < $\bold{-\frac{2}{8} }$

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Name the figure below in two different ways.

Reil [10]

Answer: MUV OR VUM

Step-by-step explanation:

It is a line so anyway you name it is fine as lomg as its in it's respected order.

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3 years ago

Read 2 more answers

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

3 years ago

You can buy an 8-pack of paper towels for $7.92 or a 12-pack for $11.64. Which is the better buy?

goldfiish [28.3K]

Answer:

ill say the 8 pack

Step-by-step explanation:

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2 years ago

Factor the following:<br><br> x2−6x+5

lukranit [14]

Answer:

the 6x element as there is no solution in integers.

Step-by-step explanation:

8 0

3 years ago

Find the area of the shaded figure below. Use 3.14 for pi. NO LINKS OR IMPROPER ANSWERS

Lapatulllka [165]

Answer:

The area of the shaded region is about 58.9 square inches.

Step-by-step explanation:

To solve this question, let's recall some facts.

We know that the area of a circle can be defined as the following:

$A = \pi r^2$

where r is the radius of the circle.

We too know that circles have a diameter and a radius. The diameter of a circle is the distance a line that connects two points on a circle with its center, and the radius is half of the diameter.

We also know that figures can touch each other, or be in tangent with each other. For the sake of simplicity, we're going to assume that the shaded circles are in tangent with each other, or touch each other. Because they touch each other, these three circles can share 5 in. of the 15 in. rectangle. This means that the circles are 5 in. in diameter, or 2.5 in in radius.

Now, we can solve the problem.

Because we have 3 circles, each with 2.5 in. radii, we can have the following expression which represents the total area of these circles:

$3*\pi (2.5)^2$

$= 3*3.14(2.5)^2$

$= 3 *3.14 *6.25$

$= 58.875$

After approximation, I can conclude that the area of the shaded region is 58.9 square inches.

6 0

2 years ago