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2 years ago

A snail is moving at a rate of three inches every two minutes. How fast is the snail moving in feet per hour?

Mathematics

2 answers:

zaharov [31]2 years ago

8 0

Step-by-step explanation:

Their are 60 minutes in a hour, and 12 inches make a foot

the snail is moving 3 inches every 2 minutes , in a hour the snail will move 20 inches

(please give brainliest

likoan [24]2 years ago

7 0

8 min

Pls mark brainliest

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A principal is purchasing a pencil for each of her students. The pencils come in packages of 24. If there are 1,008 students, ho

ratelena [41]

42 packages.

1,008 divided by 24=42

Hope that helps! :)

5 0

2 years ago

Peyton needed to get her computer fixed. She took it to the repair store. The

Lelu [443]

Answer:

The cost of labor per hour is $105.

The expression is 4x + 77 = 497

Step-by-step explanation:

The expression is 4x + 77 = 497, where 4x represents the cost of labor per hour, 77 is the cost of the parts, and 497 is the total.

4x + 77 = 497

4x + 77 - 77 = 497 -77

4x = 420

4x/4=420/4

x = 105

5 0

2 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

2 years ago

1. Rhode Island is the smallest state. It has an area of

Viktor [21]

Answer:

663.4

Step-by-step explanation:

1.55 x 10 = 15.5

4.28 x 10 = 42.8

42.8 x 15.5 = 663.4

hope i helped

5 0

2 years ago

Write the logarithmic equation in exponential form. log2 16 = 4

olganol [36]

A logarithm is an exponent. The base of the logarithm is what it is an exponent of. The argument of the logarithm function is the value that you get when you raise the base to the power indicated by the exponent.

Here, the logarithm is 4, so that is the exponent of the base, which is 2. The argument of the log function is 16, so that is the result of raising 2 to the power of 4.

In exponential form, the given expression is equivalent to

2⁴ = 16

8 0

2 years ago