<em><u>The intervals included in solution are:</u></em>
<em><u>Solution:</u></em>
Given that,
A boat tour guide expects his tour to travel at a rate of x mph on the first leg of the trip
On the return route, the boat travels against the current, decreasing the boat's rate by 10 mph
The group needs to travel an average of at least 24 mph
<em><u>Given inequality is:</u></em>
<em><u>We have to solve the inequality</u></em>
When we multiply or divide both sides by negative number, then we must flip the inequality sign
This is attached as figure below
From the attached table,
<em><u>Therefore, solution set is given as</u></em>:
Answer:
P(N)=0.3
Step-by-step explanation:
Given: P(M)= 0.46, P(M and N)=0.138
Using P(M) ×P(N)= P(M and N)
⇒0.46×P(N)= 0.138
⇒P(N)= 
⇒P(N)=0.3
This is the concept of Area and volume of solid materials; Tommy soup can is likely to have a cylindrical shape. This means that the base of the cylinder will have a circular shape. If this is the case the volume of the can will be given by:
volume=[base area]*height
volume=πr^2h
where;
base area=πr^2
height=h
Create the sum of the given polynomial terms.
f(x,y) = 3x² - 2x²y + 2xy² + 4y² + xy² - y² + 2x²y
= 3x² + 3xy² + 3y²
Test the given terms to see if they belong in f(x,y).
3: NO
3x²: YES
3y²: YES
3xy²: YES
4x²: NO
Answer:
The terms in the sum of the given polynomials are 3x², 3y², and 3xy².
Answer:
The proportion of student heights that are between 94.5 and 115.5 is 86.64%
Step-by-step explanation:
We have a mean 
and a standard deviation 
. For a value x we compute the z-score as 
, so, for x = 94.5 the z-score is (94.5-105)/7 = -1.5, and for x = 115.5 the z-score is (115.5-105)/7 = 1.5. We are looking for P(-1.5 < z < 1.5) = P(z < 1.5) - P(z < -1.5) = 0.9332 - 0.0668 = 0.8664. Therefore, the proportion of student heights that are between 94.5 and 115.5 is 86.64%
