Y=143.3(5)^2+1823.3(5)+6820
2 answers:
There were 12561 taxi accidents occurred in 1997
<h3>Further explanation</h3>A quadratic function is a function that has the term x²
The quadratic function forms a parabolic curve
The general formula is
f (x) = ax² + bx + c
where a, b, and c are real numbers and a ≠ 0.
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The number of taxi accidents is approximated by y equals negative 143.3 x squared plus 1823.3 x plus 6820 y = −143.3x2 + 1823.3x + 6820 and the number of injuries is approximated by y equals negative 416.72 x squared plus 4416.7 x plus 8500 y = −416.72x2 + 4416.7x + 8500. Let x equals = 0 represent 1990, x equals = 1 represent 1991, and so on.
According to the equation for the number of accidents, if the trend continues, how many taxi accidents occurred in
1997?
If we look at the value of x = 0 for 1990 and x = 1 for 1991, than the value of x = 7 for 1997.
We enter the value x = 7 in the equation:
y = −143.3x² + 1823.3x + 6820
y = −143.3 (7²) +1823.3 (7) +6820
y = -143.3 (49) + 12763.1 + 6820
y = -7021.7 + 19582.4
y = 12561.4, round up to 12561
<h3>Learn more</h3>domain of the function
the inverse of the ƒunction
F (x) = x2 + 1 g (x) = 5 - x
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Keywords: taxi accident, injuries
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Answer:
Probability that the student scored between 455 and 573 on the exam is 0.38292.
Step-by-step explanation:
We are given that Math scores on the SAT exam are normally distributed with a mean of 514 and a standard deviation of 118.
<u><em>Let X = Math scores on the SAT exam</em></u>
So, X ~ Normal()
The z score probability distribution for normal distribution is given by;
Z = ~ N(0,1)
where, = population mean score = 514
= standard deviation = 118
Now, the probability that the student scored between 455 and 573 on the exam is given by = P(455 < X < 573)
P(455 < X < 573) = P(X < 573) - P(X 455)
P(X < 573) = P( <
) = P(Z < 0.50) = 0.69146
P(X 2.9) = P(
) = P(Z
-0.50) = 1 - P(Z < 0.50)
= 1 - 0.69146 = 0.30854
<em>The above probability is calculated by looking at the value of x = 0.50 in the z table which has an area of 0.69146.</em>
Therefore, P(455 < X < 573) = 0.69146 - 0.30854 = <u>0.38292</u>
Hence, probability that the student scored between 455 and 573 on the exam is 0.38292.