the diameter of a value for the space shuttle must be within 0.001mm of 5mm. Write and solve an absolute value equation to find
1 answer:
The <em><u>correct answer</u></em> is:
Explanation:
Since the diameter must be within 0.001 mm, this means it can be greater than 5 by this amount or less than 5 by this amount. This is why we use an absolute value equation; absolute value describes distance.
Since it must be within 0.001 mm, this means the difference between our value, x, and 5 must equal 0.001; this is why x-5 goes in the absolute value bars and 0.001 goes across the equals sign.
You might be interested in
Answer:
90% confidence interval for the population mean test score is [95.40 , 106.59]
Step-by-step explanation:
We are given that the population mean score for mathematics test is 115. It is known that the population standard deviation of test scores is 17.
Also, a random sample of 25 students take the exam. The mean score for this group is 101.
The, pivotal quantity for 90% confidence interval for the population mean test score is given by;
P.Q. = ~ N(0,1)
where, X bar = sample mean = 101
= population standard deviation
n = sample size = 25
So, 90% confidence interval for the population mean test score, is ;
P(-1.6449 < N(0,1) < 1.6449) = 0.90
P(-1.6449 < < 1.6449) = 0.90
P(-1.6449 * <
< 1.6449 *
) = 0.90
P(X bar - 1.6449 * <
< X bar + 1.6449 *
) = 0.90
90% confidence interval for = [ X bar - 1.6449 *
, X bar + 1.6449 *
]
= [ 101 - 1.6449 * , 10 + 1.6449 *
]
= [95.40 , 106.59]
Therefore, 90% confidence interval for the population mean test score is [95.40 , 106.59] .