The solution of the given inequality is:
x ≤ 15.24
<h3>
How to solve the inequality?</h3>
We know that the maximum that she can spend on gasoline is the 12% of $400.
That is:
(12%/100%)*$400 = 0.12*$400 = $48
Now, we know that each gallon of gas costs $3.15, then if x is the number of gallons of gas that she buys, we have the inequality:
x*$3.15 ≤ $48
To solve the inequality, we need to divide both sides by $3.15
x ≤ $48/$3.15
x ≤ 15.24
So the maximum number of gallons of gasoline that she can buy is 15 gallons (actually a little more).
If you want to learn more about inequalities:
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9-8 1
----- = -----.
8-1 7
The answer is 1/7.
Answer:
d. H0: melanoma mortality rate is not linearly related to latitude
Ha: melanoma mortality rate is linearly related to latitude
Step-by-step explanation:
The linear regression equation is
y=α+βx where α=intercept and β=slope.
β=slope demonstrates the change in dependent variable due to unit change in independent variable.
If the slope is zero then we can say that Y and X are not linearly related.
Thus, the hypothesis for testing significance of linear relationship two variables can be written as
Null hypothesis: The two variables are not linearly related i.e. β=0
Alternative hypothesis : The two variables are linearly related i.e. β≠0.
Thus, in the given scenario the hypothesis are
H0: melanoma mortality rate is not linearly related to latitude
Ha: melanoma mortality rate is linearly related to latitude.
Answer:
23 is the smallest number
Step-by-step explanation:
Three consecutive numbers are numbers that come in a row. So if the first number is n then the next is n+1 and the following is n+2.
All together they add to 72.
So n + n+1 +n +2 = 72.
3n + 3 = 72
3n = 69
n = 23
Answer:
2236.77 feets
Step-by-step explanation:
From the attached picture, we are to find x, which is the vertical depth of the submarine.
Using trigonometry based on the illustration in the diagram:
Sinθ = opposite / hypotenus
Sinθ = x (depth of submarine) / distance from ship (4000)
Hence,
Sinθ = x / 4000
θ = 34°
Sin34 = x / 4000
0.5591929 * 4000 = x
2236.7716 = x
Hence, depth of submarine = 2236.77 feets
