The expression 30t mean that the velocity of the football is 30, while the term 16t² makes the function to be quadratic.
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
Given the equation:
f(t) = 6 + 30t – 16t²
Where f(t) is the height of the football after t seconds.
The constant 6 means the football was thrown from a height of 6 feet above the ground.
The expression 30t mean that the velocity of the football is 30, while the term 16t² makes the function to be quadratic.
Find out more on equation at: brainly.com/question/2972832
Using the z-distribution, it is found that the smallest sample size required is given by:
B) 7 vehicles.
<h3>What is the margin of error for a z-distribution confidence interval?</h3>
It is given by:
In which:
is the population standard deviation.
In this problem, we have a 90% confidence level, hence
, z is the value of Z that has a p-value of 
, so the critical value is z = 1.645.
The margin of error and the population standard deviation are given by, respectively:
.
Then, we solve for n to find the needed sample size.
Rounding up, 7 vehicles have to be sampled, hence option B is correct.
More can be learned about the z-distribution at brainly.com/question/25890103
Answer:
19 or √145 ≈ 12.04
Step-by-step explanation:
Use the distance formula to determine the distance between the two points.
Distance = √
(
x
₂ − x
₁
)² + (
y
₂ − y
₁
)
²
Substitute the actual values of the points into the distance formula.
√
(
4 − ( − 5
))
² + (
(
−
5
)
−
3
)
²
Simplify:
√
145
The result can be shown in multiple forms.
Exact Form:
√
145
Decimal Form:
12.04159457 … ≈ 12.04
Answer:
5
Step-by-step explanation:
2x - 3 = 7
this equation can represent the senario because the number (x) is doubles (multiplyed by 2), subtracted by 3 then equal to 7
then you can just solve for x
2x=10
x=5
