The value of c, the constant of the function y = ax² + bx + c, exists -3.
<h3>What is an equation?</h3>
An equation exists as an expression that indicates the relationship between two or more numbers and variables.
Given that: y = ax² + bx + c
At point (4, 21)
21 = a(4²) + 4b + c .......(1)
At point (5, 32)
32 = a(5²) + 5b + c .........(2)
At points (6, 45)
45 = a(6²) + 6b + c .......(3)
Therefore, the value of a = 1, b = 2 and c = -3.
The value of c, the constant of the function y = ax² + bx + c, exists -3.
To learn more about equations refer to:
brainly.com/question/2972832
#SPJ9
First you express it as a fraction so that would be 2475/1000 which can be simplified to 99/40
Answer:
Step-by-step explanation:

First simplify <span>t^2-t-12, which becomes (t-4)(t+3)
now you can rewrite the expression as one term; (t-4)(t+3)(t+1)/(t+1)(t+3)
cancel out (t+3) and (t+1) which leaves the answer as (t-4)</span>
Answer:
a) p=0.39, where p the parameter of interest represent the true proportion of adults that would erase all their personal information online if they could
b) Null hypothesis:
Alternative hypothesis:
Step-by-step explanation:
A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".
The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".
The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".
On this case the claim that they want to test is: "The true proportion of adults that would erase all their personal information online if they could is 0.39 or 39%". So we want to check if the population proportion is different from 0.39 or 0.39%, so this needs to be on the alternative hypothesis and on the null hypothesis we need to have the complement of the alternative hypothesis.
Part a. Express the original claim in symbolic form. Let the parameter represent the adults that would erase their personal information.
p=0.39, where p the parameter of interest represent the true proportion of adults that would erase all their personal information online if they could
Part b. Identify the null and alternative hypotheses.
Null hypothesis:
And for the alternative hypothesis we have
Alternative hypothesis: