Answer:
it would be D 5 hope this helps :)
Step-by-step explanation:
Answer:
1. y=ax^2+bx+c, where a,b, and c are real numbers and a doesn't equal zero
2. Parabola
3. Opens upward
4. Opens downward
5. Vertex
6. Axis of Symmetry
7. Zeros, roots, or x-intercepts
8. You are already given the function so
Step 1: FInd Axis of Symmetry
Equation for Axis of Symmetry: x= - b/2a
Step 2: Find Vertex
- The vertex will be on the Axis of Symmetry, so plug in x then find y.
Equation for Vertex: Ex. The vertex is (-5) which is x now we find y by plugging in -5 whenever we see an X. f(x) = -(-5)^2 - 10(-5)-25=0 our vertex would be (-5,0)
Step 3: Draw your coordinates plane and "dash in" the axis of symmetry. Then plot your vertex
Step 4: Plot your y-intercept and the point symmetrical to it. The y-intercept is "<em>c</em>"
Step 5: Find at least other point on the parabola and draw the curve.
Answer:
a) mean = 0.125, standard deviation = 0.1397
b)0.1867
c) 0.1867
Step-by-step explanation:
The width of a casing for a door is normally distributed with a mean of 24 inches and a standard deviation of 1/8 inch. The width of a door is normally distributed with a mean of 23 7/8 inches and a standard deviation of 1/16 inch. Assume independence. a. Determine the mean and standard deviation of the difference between the width of the casing and the width of the door. b. What is the probability that the width of the casing minus the width of the door exceeds 1/4 inch? c. What is the probability that the door does not fit in the casing?
Let X denote width of a casing for a door and Y be width of a door.If X and Y is normally distributed, X → N(u, σ²) = N(24, (1/8)²)
Also Y → N(u, σ²) = N(23.875, (1/16)²)
a) Let T be the random variable that denote the difference between width of a casing for a door and width of a door. T = X - Y
E(T) = E(X) - E(Y) = 24 - 23.875 = 0.125
V(T) = V(X) + V(Y) = (1/8)² + (1/16)² = 0.01953
σ(T) = √V(T) = 0.1397
Therefore T → N(u, σ²) = N(0.125, 0.01953)
b) P(T > 0.25)
Using Z score,
P(T > 0.25) = P(Z > 0.89) = 1 - P(Z<0.89) = 1 - 0.8133= 0.1867
c) P(T < 0)
Using Z score,
P(T < 0) = P(Z < -0.89) = 0.1867