The equation that model a quadratic function is: y=0.9673x²-0.8475x+10.4334
Step-by-step explanation:
A quadratic function has the form of ;
f(x) = ax²+bx+c where a, b and c are real numbers and a≠0
For this case, equation y=0.9673x²-0.8475x+10.4334 models a quadratic function where a>0 thus the parabola opens upwards
See attached figure below to visualize the graph
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Answer:
0.36878
Step-by-step explanation:
Given that:
Mean number of miles (m) = 2135 miles
Variance = 145924
Sample size (n) = 40
Standard deviation (s) = √variance = √145924 = 382
probability that the mean of a sample of 40 cars would differ from the population mean by less than 29 miles
P( 2135 - 29 < z < 2135 + 29)
Z = (x - m) / s /√n
Z = [(2106 - 2135) / 382 / √40] < z < [(2164 - 2135) / 382 / √40]
Z = (- 29 / 60.399503) < z < (29 / 60.399503)
Z = - 0.4801364 < z < 0.4801364
P(Z < - 0.48) = 0.31561
P(Z < - 0.48) = 0.68439
P(- 0.480 < z < 0.480) = 0.68439 - 0.31561 = 0.36878
= 0.36878
Answer:
804 feet
Step-by-step explanation:
Given: Dimension of a basketball court is 84 feet by 50 feet.
Considering the shape of basketball court is in rectangle shape.
∴ Finding the perimeter of rectangle to know total number of feet in one round.
Perimeter of rectangle= 
where, l= length
w= width
∴ Perimeter of rectangular court= 
⇒ Perimeter of rectangular court= 
Opening parenthesis
⇒ Perimeter of rectangular court= 
Hence, Brett run 268 feet in one round of warm up.
As given, Brett ran around the court 3 times.
∴ Total number of feet= 
Hence, Brett jog for 804 feet.
Answer:
25%
Step-by-step explanation:
20/80 in can be reduced to 1/4 and 1/4 equals 25%.
I'm not sure if this is a multiple choice question, so I will just solve the equation.
-5 (4x - 7) + 8 = 3x
-5 (4x + (-7)) + 8 = 3x
1. Distributive Property of Multiplication
(-5)(4x) + (-5)(-7) + 8 = 3x
2. Simplify
-20x + (-35) + 8 = 3x
3. Simplify again
-20x - 27 = 3x
4. Add 27 to both sides and then subtract 3x from both sides to get all the x's by themselves on the same side
-20x - 27 + 27 = 3x + 27
-20x - 3x = 3x + 27 - 3x
5. Simplify
-23x = 27
6. Divide
-23x / -23 = 27 / -23
7. Simplify
Answer:
<h2>
x = - 27/23 ≈ -1.17</h2>
Hope this helps!
