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Andrews [41]
2 years ago
13

A 500 yard train travels at a constant speed. A motorcyclist rides at a constant speed on the highway parallel to the train trac

ks. The motorcyclist starts at the rear of the train and drives to the very front of the train, and then falls back to the rear of the train. As the motorcycle completes this cycle, the train travels 1200 yards. How far did the motorcyclist travel?
Mathematics
1 answer:
garik1379 [7]2 years ago
7 0

Answer:

120/2 = x/5....120 miles to 2 hrs = x miles to 5 hrs

cross multiply

(2)(x) = (120)(5)

2x = 600

x = 600/2

x = 300....the motorcyclist would travel 300 miles in 5 hrs

or u could do it this way..

120/2 = 60 miles per hr

60 * 5 = 300 miles

Step-by-step explanation:

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zysi [14]

Answer:  a) 0.0792   b) 0.264

Step-by-step explanation:

Let Event D = Families own a dog .

Event C = families own a cat .

Given : Probability that families own a dog : P(D)=0.36

Probability that families own a dog also own a cat : P(C|D)=0.22

Probability that families own a cat : P(C)= 0.30

a) Formula to find conditional probability :

P(B|A)=\dfrac{P(A\cap B)}{P(A)}\\\\\Rightarrow P(A\cap B)=P(B|A)\times P(A)   (1)

Similarly ,

P(C\cap D)=P(C|D)\times P(D)\\\\=0.22\times0.36=0.0792

Hence, the probability that a randomly selected family owns both a dog and a cat : 0.0792

b) Again, using (2)

P(D|C)=\dfrac{P(C\cap D)}{P(C)}\\\\=\dfrac{0.0792}{0.30}=0.264

Hence, the conditional probability that a randomly selected family owns a dog given that it owns a cat = 0.264

5 0
3 years ago
Solve for r. Show your work!<br> 12 =R– (34 – 2)<br><br> Helpppp!!
amm1812

Answer:

r = 44

Step-by-step explanation:

12 = r - (34 - 2)

Solve for r

___________

To solve, we need to isolate r.

Distribute the negative sign with the numbers within the parenthesis :

12 = r - 34 + 2

Add like terms :

12 = r - 32

Add 32 to both sides :

44 = r

r = 44

4 0
3 years ago
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vazorg [7]
Use photo math it works well
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3 years ago
(9a^2 + 7a + 8) - (2a^2 + 5a + 1)
Sergio [31]

Answer:  7a^2+2a+7

Step-by-step explanation:Distribute the Negative Sign:

=9a2+7a+8+−1(2a2+5a+1)

=9a2+7a+8+−1(2a2)+−1(5a)+(−1)(1)

=9a2+7a+8+−2a2+−5a+−1

Combine Like Terms:

=9a2+7a+8+−2a2+−5a+−1

=(9a2+−2a2)+(7a+−5a)+(8+−1)

=7a2+2a+7

8 0
3 years ago
Pls help Factor 4x^3+32
Umnica [9.8K]

Answer:

Step-by-step explanation:

The greatest common factor they share is 4.

4(x^3+8)

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