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3 years ago

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What is the coefficient of the y-term in the expression 4x+5xy–2y

2 answers:

maks197457 [2]3 years ago

3 0

The y-term is -2y. We know this is the y-term because it is a multiple of the variable y and is not multiplied with any other variables.

A coefficient is a number that a variable is multiplied by. When there is a number followed by a variable, the number is the coefficient.

In this case, the coefficient of the y-term is -2. The coefficient is negative because 2y is being subtracted, meaning the 2 is negative rather than positive.

Hope this helps!

nikdorinn [45]3 years ago

3 0

The coefficient if 2

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If the radius of a circle is 20 cm, what is the circumference? (Use π = 3.14)

PIT_PIT [208]

Okay so the circumference of a circle is pi×the diameter or 2×radius× pi. In this case we are given the radius so
C=2×20×3.14
C=40×3.14
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3 years ago

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

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GaryK [48]

Answer:

562.5

Step-by-step explanation:

i=?

p=3750

r=3*1/100=3/100

t=5 years

I=P*R*T

3750*5*3/100

=5625/100

=562.5

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3 years ago

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pentagon [3]

18 x 3 = 54. So the correct answer is D. 54 pounds.

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3 years ago

Need help, have to submit this very soon!!

Brut [27]

Answer:

see explanation

Step-by-step explanation:

length = $\frac{60}{8}$ = 7.5 in

scale factor = $\frac{image}{original}$ = $\frac{8}{60}$ = $\frac{2}{15}$

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

length = $\frac{192}{4}$ = 48 cm

scale factor = $\frac{omage}{original}$ = $\frac{4}{192}$ = $\frac{1}{48}$

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3 years ago