Answer:
The cost of the uber is a $6 flat rate plus $1.25 per mile.
Then if you take an uber for x miles, the cost will be:
c(x) = $1.25*x + $6
Now, in this case Kayla also wants to add a tip of $4, then the total cost will be:
c(x) = $1.25*x + $6 + $4 = $1.25*x + $10
And we have the restriction that Kalya can't spend more than $27.50
Then the cost must be equal or smaller than $27.50, we can write this as:
c(x) ≤ $27.50
$1.25*x + $10 ≤ $27.50
Whit the above equation we can find the maximum value of x if we isolate x in one side of the inequality.
$1.25*x + $10 ≤ $27.50
$1.25*x ≤ $27.50 - $10
$1.25*x ≤ $17.50
x ≤ ($17.50/$1.50)
x ≤ 11.67
So the maximum number of miles that she can travel on that uber is 11.67 miles, but in this cases we only work with whole numbers, so we should round it to the next whole number that meets the condition, which is 11.
x = 11
The maximum number of miles that she can travel on that uber is 11 miles.
Answer:
<em>The true average weight of geese is less than or equal to 40 pounds</em>
Step-by-step explanation:
The null hypothesis and the alternative hypothesis are two mutually exclusive statements or hypotheses that are made about a population. The purpose is to find out if, through a study of the data, sufficient evidence is obtained to reject one and accept another
The null hypothesis is denoted as 
and the alternative hypothesis as 
As they are two mutually exclusive statements then if
: <em>"The true average weight of the geese is greater than 40 pounds"</em>
the alternative hypothesis must be the opposite of the null hypothesis
: <em>"The true average weight of geese is less than or equal to 40 pounds"</em>
Given:
at an angle of 45°.
at an angle of 150°.
To find:
Magnitude and direction angle of w.
Solution:
We have,
Now,
Using these information, we get
Now,
Therefore, the correct option is D.
Subtract 9 from each side of the equation. so you would get 1<x. meaning that any number larger then 1 would correctly solve the equation.
