Evaluate the expression 4/15÷x+0.4 for x if: x=1, x=4/9, x=1 1/3. Solve for each X. I need help Will give brainliest!
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Answer:
52.84% probability that the sample mean would differ from the population mean by less than 339 miles in a sample of 37 tires if the manager is correct
Step-by-step explanation:
To solve this question, we have to understand the normal probability distribution and the central limit theorem:
Normal probability distribution:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Central limit theorem:
The Central Limit Theorem estabilishes that, for a random variable X, with mean and standard deviation
, a large sample size can be approximated to a normal distribution with mean
and standard deviation
In this problem, we have that:
What is the probability that the sample mean would differ from the population mean by less than 339 miles in a sample of 37 tires if the manager is correct
This probability is the pvalue of Z when X = 30393 + 339 = 30732 subtracted by the pvalue of Z when X = 30393 - 339 = 30054. So
X = 30732
By the Central Limit Theorem
has a pvalue of 0.7642.
X = 30054
has a pvalue of 0.2358
0.7642 - 0.2358 = 0.5284
52.84% probability that the sample mean would differ from the population mean by less than 339 miles in a sample of 37 tires if the manager is correct
Answer: a = 2 b = 3 c = 5
Literally a+ b+c = 10, but I don't think that's what the question means to ask.
the equation is 2x² +3x + 5
Step-by-step explanation: Substitute the values of the given coordinates into the formula and use algebra (solve a system of equations by substitution and elimination) to get the values of a,b & c
y=ax²+bx+c using (0,5), (1,10), and (2,19)
5=a(0)²+b(0)+c becomes 5= 0+0 + c .so we find c = 5
10=a(1)²+b(1)+c becomes 10 = a + b + c
19=a(2)²+b(2)+c . becomes 19 = 4a + 2b + c
Substitute the 5 for c. Then rewrite
10 = a + b + 5 becomes 5 = a+ b to eliminate b multiply this be (-2)
(-2)( 5 = a+ b) .to get -10 = -2a - 2b
19 = 4a + 2b + 5 becomes 14 = 4a + 2b
_______________ Add these two
14 = 4a + 2b
<u>-10 = -2a - 2b</u><u> </u> this will eliminate the "b" term
4 = 2a divide both sides by 2 so you have a = 2
substitute in 10=a(1)²+b(1)+5 to find b
10=2(1)²+b(1)+5 .becomes 5 = 2 + b Subtract 2 from both sides
b = 3
So now you have all three values:
a = 2 b= 3 c = 5
I am attaching the graph. I hope this deserves Brainiest.
Best wishes in your studies!
