Cherries cost $5.68 a pound. Will $20 be enough to buy a 4.1-pound bag of cherries? Explain how to determine whether $20 is the
2 answers:
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Answer:
E(X) = 1.28
Var(X) = 0.6016
E(X | Y=2) = 1.6667
Var(X | Y=2) = 0.4272
Step-by-step explanation:
Answer: The answer is f(x) = (x-3)²-h = (x-3-√h)(x-3+√h).
Step-by-step explanation: We are given to write a quadratic function in factored form that would have a vertex with an x-coordinate of 3 and two distinct roots.
A quadratic function with vertex having x-coordinate k takes the form of a parabola as follows:
Here, 'k' and 'h' are both real.
Since we the the x-coordinate of the vertex as 3, so k = 3.
Therefore, the quadratic function becomes
This is the required factored form of the quadratic function.
See the attached graph, where the x-coordinate of the vertex is 3 and h is taken to be 2 units.
Answer:
Step-by-step explanation:
we know that
The area of the trapezoid is equal to
step 1
Find the measure of angle DAE
m∠ADC+m∠DAE=180° -----> by consecutive interior angles
we have
m∠ADC = 134°
substitute
134°+m∠DAE=180°
m∠DAE=180°-134°=46°
step 2
In the right triangle ADE
Find the length side AE
cos(∠DAE)=AE/AD
step 3
In the right triangle ADE
Find the length side DE
sin(∠DAE)=DE/AD
step 4
Find the area of ABCD
we have
substitute