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Norma-Jean [14]

3 years ago

14

At 12:00 noon two Mississippi steamboats are 126 miles apart. At 6:00 p.m. they pass each other going in opposite directions. If

one steamboat travels 9 miles per hour faster than the other, find the speed of both boats.

1 answer:

Anna35 [415]3 years ago

4 0

Just add 126 + 9 = 135 easy

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Kelly bought a new car for $20,000. The car depreciates at a rate of 10% per year. Write an equation to model the car's value.

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y=20,000-.10x

with x being the number of years

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3 years ago

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A vase has the shape of a rectangular prism. The inside of the vase is also a rectangular prism. What is the volume of the solid

saw5 [17]

Answer:

$V_{s} = \frac{\pi}{4}\cdot D_{out}^{2} \cdot h -\frac{\pi}{4}\cdot (D_{out}-2\cdot t)^{2}\cdot (h-t)$

Step-by-step explanation:

The geometric description of the vase is described in the image attached below. The volume of the solid part of the vase is:

$V_{s} = V_{out} - V_{in}$

$V_{s} = \frac{\pi}{4}\cdot D_{out}^{2} \cdot h -\frac{\pi}{4}\cdot (D_{out}-2\cdot t)^{2}\cdot (h-t)$

Where:

$D_{out}$ - Outer diameter, in centimeters.

$t$ - Vase thickness, in centimeters.

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3 years ago

Gronala costs $4.50 per pound. Assorted nuts cost $7.00 per pound. how many pounds of granola and nuts are needed to make 7 poun

yulyashka [42]

Let G be the granola we need (in pound)

Let N be the nut we need (in pound)

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4.5G+7N= 35

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4 years ago

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Five year old Michelle weighs 75 decagrams. What is her weight in centigrams?

Svet_ta [14]

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3 years ago

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. At a clothing store, 12 people purchased blue sweaters, 8 purchased green sweaters, 4 purchased gray sweaters, and 7 purchased

DedPeter [7]

Answer:

The probability that they purchased a green or a gray sweater is $\frac{12}{31}$

Step-by-step explanation:

Probability is the greater or lesser possibility of a certain event occurring. In other words, probability establishes a relationship between the number of favorable events and the total number of possible events. Then, the probability of any event A is defined as the quotient between the number of favorable cases (number of cases in which event A may or may not occur) and the total number of possible cases. This is called Laplace's Law.

$P(A)=\frac{number of favorable cases}{number of possible cases}$

The addition rule is used when you want to know the probability that 2 or more events will occur. The addition rule or addition rule states that if we have an event A and an event B, the probability of event A or event B occurring is calculated as follows:

P(A∪B)= P(A) + P(B) - P(A∩B)

Where:

P (A): probability of event A occurring.

P (B): probability that event B occurs.

P (A⋃B): probability that event A or event B occurs.

P (A⋂B): probability of event A and event B occurring at the same time.

Mutually exclusive events are things that cannot happen at the same time. Then P (A⋂B) = 0. So, P(A∪B)= P(A) + P(B)

In this case, being:

P(A)= the probability that they purchased a green sweater
P(B)= the probability that they purchased a gray sweater
Mutually exclusive events

You know:

8 purchased green sweaters
4 purchased gray sweaters
number of possible cases= 12 + 8 + 4+ 7= 21

So:

$P(A)=\frac{8}{31}$

$P(B)=\frac{4}{31}$

P(A⋂B) = 0

Then:

P(A∪B)= P(A) + P(B)

P(A∪B)= $\frac{8}{31}+ \frac{4}{31}$

P(A∪B)= $\frac{12}{31}$

<u><em>The probability that they purchased a green or a gray sweater is </em></u> $\frac{12}{31}$ <u><em></em></u>

5 0

3 years ago