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madam [21]
4 years ago
6

An airplane left Miami, FL. At the same time another plane left Santiago, Chile. The two planes flew toward each other at rates

of 625 mph and 575 mph. If Miami and Santiago are 4200 miles apart, how long will it take until the planes pass each other?
Mathematics
2 answers:
Zinaida [17]4 years ago
6 0

Answer:

3.5

Step-by-step explanation:

First we use the concept of relative speed.

The rates of the 2 planes are 625 mph & 575 mph. 

Relative speed will be:

(speed of plane A)+(speed of plane B)

=625+575

=1,200 mph

Distance=4200 miles

Thus the time taken for them to meet will be:

Time=distance/speed

=4200/1200

=3.5 hours

We therefore conclude that the planes met after 3.5 hours.

Hope this helps!

butalik [34]4 years ago
3 0

Answer:

3.5

Step-by-step explanation:

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The women'schorus has 33members. How many quartetscan be formed? How many singers will be left over?
andreyandreev [35.5K]

Answer: 8 quartets can be formed.

1 singer will be left over.

Step-by-step explanation:

A quartet is a group of 4 members.

Given: The women'schorus has 33 members.

The number of quartets can be formed = (Total members) divided by (4)

= 33 ÷ 4

By solving 33 ÷ 4  we get 8 as quotient and remainder as 1 such that

33 = 4 x 8 +1

Hence, 8 quartets can be formed.

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8 0
3 years ago
In October 2012, Apple introduced a much smaller variant of the Apple iPad, known as the iPad Mini. weighing less than 11 ounces
Contact [7]

Answer:

\displaystyle P(8.5\leq x\leq 10)=0.56

Step-by-step explanation:

<u>Uniform Distribution</u>

The probability density function PDF of the continuous uniform distribution is:

p(x)={\begin{cases}{\frac {1}{b-a}}&\mathrm {for} \ a\leq x\leq b,\\[8pt]0&\mathrm {for} \ xb\end{cases}}

Where a and b are the lower and upper limits where the probabilities are defined.

a. For our problem a=8.5, b=12, thus b-a=4.5 and the PDF is:

p(x)={\begin{cases}{\frac {1}{4.5}}&\mathrm {for} \ 8.5\leq x\leq 12,\\[8pt]0&\mathrm {for} \ x12\end{cases}}

b. We will find the probability that the battery life for an iPad Mini will be 10 hours or less, that is, P(8.5\leq x\leq 10)

The required probability is computed by using the upper part of the PDF, i.e.

\displaystyle P(8.5\leq x\leq 10)=(10-8.5)\cdot \frac{1}{4.5}=0.56

\boxed{\displaystyle P(8.5\leq x\leq 10)=0.56}

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