Answer:
a = -0.32
b = 16
c = - 168
Step-by-step explanation:
In the figure attached, the quadratic function is shown. We can model it as follows:
y = a*(x - x1)*(x - x2)
where (x1, 0) and (x2, 0) are its roots
From the picture, roots are (15, 0) and (35, 0), replacing them into the equation:
y = a*(x - 15)*(x - 35)
and the vertex is at (25,32), replacing into the equation:
32 = a*(25 - 15)*(25 - 35)
32 = a*(-100)
a = 32/(-100)
a = -0.32
Applying distributive property:
y = -0.32*(x - 15)*(x - 35)
y = -0.32*(x² - 35x - 15x + 525)
y = -0.32x² + 16x - 168
which corresponds to the general form:
y = ax² + bx + c
The Z- score representing the 99th percentile is given by 2.33
Problems of commonly distributed samples can be solved using the z-score formula.
For a set with a standard deviation, the z-score scale X is provided by:
Z = ( x- mean )/ standard deviation
Z-score measures how many standard deviations are derived from the description. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the scale is less than X, that is, the X percentage. Subtract 1 with p-value, we get the chance that the average value is greater than X.
To Find the z-result corresponding to P99, 99 percent of the normal distribution curve.
This is the Z value where X has a p-value of 0.99. This is between 2.32 and 2.33, so the answer is Z = 2.33
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Answer:
20.8%
Step-by-step explanation:
The number of the pieces of mail handled by the U.S postal service decreased from 212,000,000,000 to 168,000,000
Therefore the percentage decrease can be calculated as follows
= 212,000,000,000-168,000,000,000
= 44,000,000,000/212,000,000,000 × 100
= 0.2075 × 100
= 20.8 %
Hence the percentage decrease is 20.8%
Answer:is yes
Step-by-step explanation:
no
Answer:
The answer to your question is cost of 0.6 pound of candy $4.17
Step-by-step explanation:
Data
1 pound of candy = $6.95
only 0.6 pounds
final cost = ?
Process
1.- Use proportions to find the cost of 0.6 pounds of candy
1 pound of candy -------------- $6.95
0.6 pound of candy ---------- x
2.- Use cross multiplication
x = (0.6 x 6.95) / 1
3.- Simplification and result
x = $ 4.17
