Answer: (a)
(b) The best point estimate of is the sample mean
The margin of error = 4.552
Step-by-step explanation:
Given : The confidence interval for the population mean = (13.046 , 22.15)
Sample mean :
Standard deviation :
Sample size :
a. Let represents the population mean.
Then we can write the confidence interval for the population mean as :-
b. The best point estimate of is the sample mean
Also, the lower limit of confidence interval can be written as
i.e.
Hence, the margin of error = 4.552
The solutions to the quadratic equations are:
a)
b) x = -8, x = 5.
A quadratic function is given according to the following rule:
The solutions are:
In which:
Item a:
The coefficients are a = 5, b = -6, c = -2, hence:
Item b:
The equation is:
x² + 3x = 40
x² + 3x - 40 = 0.
It can be simplified as follows:
(x - 5)(x + 8) = 0.
Hence the solutions are:
More can be learned about quadratic equations at brainly.com/question/24737967
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Answer:
1.77 seconds.
Step-by-step explanation:
The height of an object after it is released can be modeled by the function f(x) = - 16t² + v t + s, where t is the number of seconds after the object is released, v is the upward speed in feet per second at release, and s is the starting height in feet.
Now, if a quarterback throws a ball from his hand 6 feet in the air at an upward speed of 25 feet per second, then we have to find the time after which his teammate will catch the ball.
So, we can write
0 = - 16t² + 25t + 6
⇒ 16t² - 25t - 6 = 0
Now, using the quadratic formula we can write
⇒ seconds. (Answer)
{Neglecting the negative root as t can not be negative.}
Answer:
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