Options:
A. Both the Highlands and the Lowlands data points are evenly distributed around the center.
B. Both the Highlands and the Lowlands data points are clustered toward the left of the plot.
C. The Highlands data points are evenly distributed around the center, while the Lowlands data points are clustered toward the left of the plot.
D. The Highlands data points are clustered toward the left of the plot, while the Lowlands data points are evenly distributed.
Answer:
B. Both the Highlands and the Lowlands data points are clustered toward the left of the plot.
Step-by-step Explanation:
From the dot plots displaying rainfall totals for highland and lowland areas as shown in the diagram attached below, we can clearly observe that most of the dots on the plot tend to be more concentrated towards the left of the plot, compared to the concentration of dots toward the right of the plot.
Invariably, we can infer that data points for lowlands and Highlands are clustered toward the left of the plot.
Therefore, the statement that is true, comparing the shapes of the dot plot is B. "Both the Highlands and the Lowlands data points are clustered toward the left of the plot."
Answer:
The coordinates of B is (3, - 5)
Step-by-step explanation:
A(6, 1)
C(2, -7)
Coordinates of point B such that AB = 1/3 × BC
Hence we have;
Therefore BC = 3/4 × AC
Hence, AB = 1/3 × BC = 1/3 × 3/4 × AC = 1/4 × AC
AC = √((6 - 2)² + (1 - (-7))²) = √(16 + 64) = √80 = 4·√5
AB = 1/4 × 4·√5 = √5
Therefore;
AB² = (x - 6)² + (y - 1)² = 5
Slope = (1 - (-7))/(6 - 2) = 2
Hence the y coordinate of B = -7 + sin(tan⁻¹(2)) ×√5 = -5
The x coordinate of B = 2 + cos(tan⁻¹(2)) ×√5 = 3
The coordinates of B = (3, - 5)
You would be 3ft above the sea level, if you are -6ft under the sea level and if you are standing 3ft “above” you would have to clime back up 9ft to get back to the positive’s which is “positive 3” so yes, your elevation will be opposite of the “plain” since you went to a -6 to a positive 3, with different numbers.
Answer:
There were 172 guests that were children and 278 guests that were adults
Step-by-step explanation:
Step 1: State what is known
It is $25 per adult
It is $12 per child
The made $9014 dollars
There were 450 guests
Step 2: Define equations
25y + 12x = 9014 -----1
x + y = 450 ------------2
Step 3: Rearrange equation 2 for x
x + y = 450
x = 450 - y --------------3
Step 4: Substitute 3 into 1 for y and solve for y
25y + 12(450 - y) = 9014
25y + 5400 - 12y = 9014
13y = 3614
y = 3614/13
y = 278
Step 5: Substitute y = 278 into 3 to solve for x
x = 450 - (278)
x = 172
Therefore 172 children and 278 adults visited the museum
