Six sophomores and 14 freshmen are competing for two alternate positions on the debate team. Which expression represents the pro
2 answers:
Answer:
Detailed explanation:
The total number of sophomores is 6.
There are 14 freshmen.
This gives a total number of individuals as 6 + 14 = 20.
Therefore, if two individuals are selected, the probability that both of them are sophomores is:
P = Total combinations of 2 individuals from the group of 6 sophomores / total individuals
P = , which is the expression needed.
Note: we can calculate the value of P further as follows,
⇒P=
⇒P=
⇒P=
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The question clearly seeks the highest values from both functions, meaning the vertices of each.
<span>The graph depicting the path of Ed’s football indicates the vertex's coordinates (the peak of the graph).
</span>
Specifically,
(h,k) = (1.5, 7.5)
Where (h,k) represents the vertex's location.
Conversely,<span>the trajectory of Steve's football is defined by the equation:
y = - 2x
²</span> + 5x + 4<span>To find the axis of symmetry, we use the formula:x = - b
÷ 2a
Where:
a = -2</span>
b = 5
Consequently,
x = - 5 ÷ - 4
x = 5 / 4
x = 1.25
Now substituting this x-value back into the main equation to determine y.
y = - 2x² + 5x + 4
y = - 2(1.25)² + 5(1.25) + 4
y = - 3.125 + 6.25 + 4
y = 7.125
Thus, the vertex (h,k) = (1.25, 7.125)
As observed from the calculations
Ed’s
<span>football attains a higher height.</span>
<span>The graph depicting the path of Ed’s football indicates the vertex's coordinates (the peak of the graph).
</span>
Specifically,
(h,k) = (1.5, 7.5)
Where (h,k) represents the vertex's location.
Conversely,<span>the trajectory of Steve's football is defined by the equation:
y = - 2x
²</span> + 5x + 4<span>To find the axis of symmetry, we use the formula:x = - b
÷ 2a
Where:
a = -2</span>
b = 5
Consequently,
x = - 5 ÷ - 4
x = 5 / 4
x = 1.25
Now substituting this x-value back into the main equation to determine y.
y = - 2x² + 5x + 4
y = - 2(1.25)² + 5(1.25) + 4
y = - 3.125 + 6.25 + 4
y = 7.125
Thus, the vertex (h,k) = (1.25, 7.125)
As observed from the calculations
Ed’s
<span>football attains a higher height.</span>
Answer:
P-value = 0.0455
Step-by-step explanation:
This inquiry focuses on calculating the P-value in a test.
Mathematically, we establish that;
P-value = 2 * P(Z > |z|)
Please refer to the attached document for a comprehensive resolution and step-by-step explanation
