Answer:
The whole = 48
The percentage = 78%
The part = 37.44
Step-by-step explanation:
The given parameters are;
The number of responses for the competition = 48 responses
The percentage that voted for the black T-shirt = 75%
The whole = The total number of responses for the competition = 48
The percentage = 78% = The part/(The whole) × 100
The part = The missing information
To find the part, we substitute the values of the whole, and the percentage into the given following equation
The part = The percent × The whole
∴ The part = 78% × 48 = 78/100 × 48 = 37.44
The part = 37.44.
Should be
153.15
Multiply 51 by 33.3% to check your work or show it
Answer:
(y - 3)² = 12(x + 3)
Step-by-step explanation:
The focus is to the right of the vertex, so the parabola is sideways and opens to the right.
The conic form of a sideways parabola is
(y - k)² = 4p(x - h)
The vertex is at h = -3; k = 3
The focus is at (h + p, k) = (-3 + p, 3)
The vertex and focus are three units apart, so p = 3.
The equation of your parabola is
(y - 3)² = 12(x + 3)
The figure below shows the graph of your parabola with its focus and vertex.
<h3>
Answer: Median = 7</h3>
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Explanation:
Sort the values from smallest to largest. Doing so leads to the list {1,4,6,8,8,9}
Since the set is small enough, you can probably notice that the middle most number is a tie between the 6 and the first 8. The midpoint is (6+8)/2 = 14/2 = 7.
The median is 7.
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If you wanted, you could cross off the first and last items of the set
That means we go from {1,4,6,8,8,9} to {4,6,8,8}
Then repeat to get the smaller set {6,8}
This shows we have a tie between the 6 and 8 as the middle most item, and why 7 is the median (since 7 is the midpoint between 6 and 8).
