Answer: 57r + 42
Step by step explanation:
-3r - 6(-7 - 10r)
Distribute -6 through the parenthesis
-3r + 42 + 60r
Collect the like terms
57r + 42
Answer:
miles per minute represents the speed of the bird and 3 miles represents the original distance of the bird from its nest.
Step-by-step explanation:
As there is no graph mentioned here but the information are quite sufficient to answer the question.
We have points 
From these points we can find the slope of the line .
From point slope formula 
And assigning
and

This slope is also the speed of the bird which is 
As by plugging the values of any coordinate point we can confirm this.
Lets put
, y-axis is the distance so in
minutes the the distance covered by the bird must be equal to to y-axis value which is
miles.

Now as in
the bird has started from y-intercept value
so we can say that,the original distance of the bird from its nest is
.
So the correct choices are:
and 
The birds speed is
per minute and is
away from its nest.
Answer:
0.9958
Step-by-step explanation:
P(being correct) = 1/4 = 0.25
Hence, p = 0.25
n = 19
P(x ≥ 1) = p(x = 1) + p(x = 2) +... + p(x = 19)
Using the binomial probability formula :
P(x =x) = nCx * p^x * (1 - p)^(n - x)
However, to save computation time, we could use a calculator :
Using a calculator,
P(x ≥ 1) = 0.99577
P(x ≥ 1) = 0.9958
Answer: The average was 9 years old find the average age of both groups is 10 years old.
Step-by-step explanation:
Formula foe average : 
Given : The first group of students consists of 10 and their average age was 13 years old.
i.e.
(1)
The next group consisted of 30 students and their average was 9 years old.
i.e.
(2)
Then from (1) and (2) , the sum of both groups (first group and next group )students = 130+270 =400
Combined students of both groups (first and next group )= 10+30=40
Now , the average of both groups =

Hence, the average was 9 years old find the average age of both groups is 10 years old.
Answer:
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Step-by-step explanation: