Answer:
The speed of the cyclist is 10 miles per hour .
Step-by-step explanation:
Given as :
The distance cover by cyclist =
= 20 miles
The distance cover by biker =
= 6 miles
The speed of biker =
= s mph
The speed of cyclist =
= 7 + s mph
The time taken by both cyclist and biker = t hour
Now. Distance = Speed × Time
So,
=
× t
Or, 20 = s × t
Or, t =
.....1
And ,
=
× t
or, 6 = s t
Or, t =
....2
From Eq 1 and 2
I.e
=
Or, 20 s = 6 ( 7 + s )
Or, 20 s - 6 s = 42
Or, 14 s = 42
∴ s = 
I,e s = 3 miles per hour
So, The speed of biker =
= s = 3 miles per hour
And The speed of cyclist =
= 7 + s = 7 + 3= 10 miles per hour
Hence The speed of the cyclist is 10 miles per hour . Answer
Answer:1+3x+9+x+8+2x= 6x+9
so =3(x+3)
Step-by-step explanation:
Answer:
20% decrease in value.
Step-by-step explanation:
Do 650,000 divided by 100 to find what 1% of the original price is:
650,000 divided by 100 = 6,500
To find what percentage of the original price 520,000 is, we divide it by 1% of the original cost (6,500):
520,000 divided by 6,500 = 80 (percent)
So if 520,000 is 80% of 650,000 the car has decreased in value by 20%.
Answer:
91.02% probability of selling more than 4 properties in one week.
Step-by-step explanation:
For each property, there are only two possible outcomes. Either it is sold, or it is not. The chance of selling any one property is independent of selling another property. 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.

In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
In this problem we have that:

Compute the probability of selling more than 4 properties in one week.
Either you sell 4 or less properties in one week, or you sell more. The sum of the probabilities of these events is decimal 1. So

We want to find
. So

In which

So






So

Finally

91.02% probability of selling more than 4 properties in one week.