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3 years ago

A bicyclist travels 1 mile in 5 minutes. If m represents minutes, what does the expression m over 5 represent

1 answer:

4 0

The expression m over 5 would represent the number of miles the bicyclist had traveled for a time of 5 minutes. This value is a value of speed. It is the magnitude of a velocity. It represents the total distance that is traveled for given certain period of time. It is a scalar quantity since it does not have any direction. It would have dimensions of distance per time with SI units of meter per second. Other units used are kilometer per hour and miles per hour. The vector quantity counterpart of this is called the velocity where it contains the magnitude of the speed and a direction. The direction of velocity is indicated by a positive and a negative sign.

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An item on sale costs 85% of the original price. The original price was $55.

son4ous [18]

Answer:

$46.75

Step-by-step explanation:

The amount the sale item costs now is 0.85($55) = $46.75.

That 85% is equivalent to 0.85.

7 0

3 years ago

Bee + ant= 10, ant - bee = 8, ant × bee= ?

Alona [7]

The Correct Answer Is...

9.

Any Questions? Comment Below!

-AnonymousGiantsFan

7 0

3 years ago

A study indicates that 62% of students have have a laptop. You randomly sample 8 students. Find the probability that between 4 a

Scrat [10]

Answer:

72.69% probability that between 4 and 6 (including endpoints) have a laptop.

Step-by-step explanation:

For each student, there are only two possible outcomes. Either they have a laptop, or they do not. The probability of a student having a laptop is independent from other students. So we use the binomial probability distribution 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.

A study indicates that 62% of students have have a laptop.

This means that $n = 0.62$

You randomly sample 8 students.

This means that $n = 8$

Find the probability that between 4 and 6 (including endpoints) have a laptop.

$P(4 \leq X \leq 6) = P(X = 4) + P(X = 5) + P(X = 6)$

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

$P(X = 4) = C_{8,4}.(0.62)^{4}.(0.38)^{4} = 0.2157$

$P(X = 5) = C_{8,5}.(0.62)^{5}.(0.38)^{3} = 0.2815$

$P(X = 6) = C_{8,6}.(0.62)^{6}.(0.38)^{2} = 0.2297$

$P(4 \leq X \leq 6) = P(X = 4) + P(X = 5) + P(X = 6) = 0.2157 + 0.2815 + 0.2297 = 0.7269$

72.69% probability that between 4 and 6 (including endpoints) have a laptop.

3 0

3 years ago

A museum has an aquarium in the shape of a right rectangular prism that is 6 1/4 feet long, 7 1/5 feet wide, and 4 1/2 feet high

Evgesh-ka [11]

Answer:

Volume = 202.5 cubic feet

Step-by-step explanation:

Given that the aquarium is in the shape of a right rectangular prism in which

Length L = 6 1/4 feet

Width W = 7 1/5 feet

Height H = 4 1/2 feet

Volume = L × B × H

Volume = 25/4 × 36/5 × 9/2

Volume = 5 × 9 × 4.5

Volume = 202.5 cubic feet

4 0

3 years ago

The cross-sectional areas of a triangular prism and a right cylinder are congruent. The triangular prism has a height of 5 units

nydimaria [60]

Answer:

The volume of the prism is equal to the volume of the cylinder

Step-by-step explanation:

For each solid figure, the volume formula is ...

V = Bh

where B is the cross-sectional area and h is the height. The problem statement tells us B and h have the same values for both figures. Hence their volumes are the same.

5 0

3 years ago