Answer: 0.50477
Step-by-step explanation:
Given : The sugar content of the syrup is canned peaches is normally distributed.
We assume the can is designed to have standard deviation 
milligrams.
The sampling distribution of the sample variance is chi-square distribution.
Also,The data yields a sample standard deviation of 
milligrams.
Sample size : n= 10
Test statistic for chi-square :
i.e. 
Now, P-value = 
[By using the chi-square distribution table for p-values.]
Hence, the chance of observing the sample standard deviation greater than 4.8 milligrams = 0.50477
Answer: 233 people per thousand
Step-by-step explanation:
Using extrapolation method,
if 150/k in 1950,
200/k in 1990,
275/k in 2020,
2003 lies in between 1990 and 2020. So, you extrapolate the values of 200/k and 275/k for the years respectively.
Therefore,
(2003 - 1990)/(2020 - 2003) = (x - 200)/(275 - x)
Where x is the number of retirees per thousand for 2003
Making x the subject of relation in the above equation.
Cross multiply the equation above;
(2003 - 1990)(275-x) = (2020 - 2003)(x - 200)
13(275 - x) = 17(x-200)
3575 - 13x = 17x - 3400
Collect the like terms
3575+3400 = 17x + 13x
30x = 6975
x = 6975/30
x = 232.5
x = 233 people per thousand to the nearest integer
Answer:
43
Step-by-step explanation:
You will have to use the PEMDAS rule here. so Parntheses goes first, then exponents, then mutiplicaton or division, and finally addition or subtraction.
20-7= 13
-2^2 = (-2 * -2) = 4
9/3 = 3
so... 13*3 = 39+4 =43
Answer:
30
40 - 5x
Step-by-step explanation:
Caroline is taking test worth 40 points that has 5 points per question. If she got 2 questions wrong, she would have a score of `30.
2 × 5 = 10
40 - 10 = 30
If Caroline got x questions wrong, she would have a score of 40 - 5x.
