Answer:
1
Step-by-step explanation:
f(x) = x² + 3x
g(x) = 5x + 2
f(3) = 3² + 3 x 3
f(3) = 9 + 9
f(3) = 18
g(3) = 5(3) + 2
g(3) = 15 + 2
g(3) = 17
(f - g)(3) = 18 - 17
(f - g)(3) = 1.
We will use the segment addition postulate.
PQ + QR = PR
4x - 1 + 3x - 1 = 54
7x - 2 = 54
7x = 56
x = 8
So QR is 3(8) - 1 or 24 - 1 which is 23.
Answer:
The answer is approximately 5.09 seconds.
Step-by-step explanation:
The given equation is:
f(x) = -5x^2 + 250
To find the elapsed time, x, set the equation equal to 120 and solve for x:
-5x^2 + 250 = 120
-5x^2 = -130
x^2 = -130/-5 = 26
x = Sqrt(26) = 5.09 seconds.
Answer:
Step-by-step explanation:
Convert these mixed fractions to improper fractions.
3 3/5 = 18/5
-8 1/3 = -25/3
Now, it is easier to multiply them. Multiply the numerators and the denominators.
<u>18</u> x <u> </u> <u>25</u> = <u>450</u>
5 3 15
Simplify the final answer by dividing 450 ÷ 15, which is 30.
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Answer with explanation:</h2><h2>
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a. Given : Sample size : n= 1078
The number of adults said it was a good thing= 659
Then , the proportion of success : 
b. The conditions to determine whether you can apply the CLT to find a confidence interval are :-
- The data must be randomly sampled.
- The sample size must be large (n>30).
- The sample values should be independent of each other.
Since the given data satisfies all the above conditions , so we can apply the CLT to find a confidence interval.
c. Given : Significance level : 
Critical value : 
The confidence interval for population proportion is given by :-

Hence, a 95% confidence interval for the proportion who believe immigration is a good thing is (0.582, 0.64).