The relative frequencies, from least to greatest, would be:
The percentage of all entries painted by Art 1 students (14.33%), the percentage of Art 2 entries that were digital (22.02%), and the percentage of clay entries done by Art 3 students (25.32%).
Explanation
The percentage of clay entries done by Art 3 students: There are 20 clay entries done by Art 3 students, out of 79 clay entries; 20/79 = 25.32%
The percentage of all entries painted by Art 1 students: There are 43 entries painted by Art 1 students out of 300 total; 43/300 = 14.33%
The percentage of Art 2 entries that are digital: There are 24 Art 2 digital entries out of 109 total Art 2 entries; 24/109 = 22.02%
Given:
In triangle GHJ, ∠G = 110°, ∠J = 40° and ∠H = 30°.
To find:
The answer to complete the given statements.
Solution:
According to triangle side and angle relationship, largest angle has longest opposite side and smallest angle has shortest opposite side.
∠G = 110°, ∠J = 40° and ∠H = 30°.
Here, ∠G > ∠J = 40° and ∠G > ∠H. So, ∠G is the Largest angle.
Since angle G is largest angle, the opposite side, JH, is longest.
Clearly,
110° > 40° > 30°.
∠G > ∠J > ∠H
Using triangle side and angle relationship, we get
JH > GH > GJ
The order of the side lengths from longest to shortest is JH, GH ahd GJ.
The total tickets to be purchased to guarantee the win = 504 tickets
Step-by-step explanation:
Step 1 :
Number of entries in the trifecta race = 9
The win is to select the first finisher, second finisher and third finisher in their proper order.
We need to find the number of tickets to be purchased to guarantee the win
Step 2 :
Number of ways to select the first finisher = 9
Number of ways to select the second finisher = 8 [the first is selected and fixed. So the number of available finishes is reduced by 1]
Number of ways to select the third finisher = 7
Hence the total tickets to be purchased to guarantee the win = 9 × 8 × 7 = 504
Step 3 :
Answer :
The total tickets to be purchased to guarantee the win = 504 tickets
Answer:
Step-by-step explanation:
To find the rate of change of temperature with respect to distance at the point (3, 1) in the x-direction and the y-direction we need to find the Directional Derivative of T(x,y). The definition of the directional derivative is given by:
Where i and j are the rectangular components of a unit vector. In this case, the problem don't give us additional information, so let's asume:
So, we need to find the partial derivative with respect to x and y:
In order to do the things easier let's make the next substitution:
and express T(x,y) as:
The partial derivative with respect to x is:
Using the chain rule:
Hence:
Symplying the expression and replacing the value of u:
The partial derivative with respect to y is:
Using the chain rule:
Hence:
Symplying the expression and replacing the value of u:
Therefore:
Evaluating the point (3,1)
Answer:
259.27
Step-by-step explanation:
