Answer:
65.827% of the apples have diameter between 3.5 and 4.3 inches.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean and standard deviation , the zscore of a measure X is given by
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.
So, to find the proportion of apples with diameter between 3.5 and 4.3 inches, we subtract the pvalue of the zscore of X = 4.3 by the pvalue of the zscore of X = 3.5.
The diameters of apples from a certain farm follow normal distribution with mean 4 inches and standard deviation 0.4 inch. So , .
For X = 4.3
Z = 0.75 has a pvalue of 0.77337
For X = 3.5
Z = -1.20 has a pvalue of 0.1151
Subtracting
65.827% of the apples have diameter between 3.5 and 4.3 inches.
When the numerator and denominator of a fraction are equal, the fraction is equal to 1.
When the numerator is greater then the denominator the fracion is called an "improper fraction". It represents a number greater then or equal to 1 and isnt neccasarily a whole number. It can also be written as a mixed number.
Answer:
C
Step-by-step explanation:
m = 5x - 2
(5x - 2)² + 35x - 14 = -12
(5x - 2)² + 7(5x - 2) = -12
Replace (5x - 2) by m in the equation above
m² + 7m = -12
m² + 7m + 12 = 0
Answer:
m=3*sqrt(2) and n=3
Step-by-step explanation:
tan(45)=3/n
1=3/n, n=3. As it's a right angled triangle, 3^2+3^2=m^2, m=3*sqrt(2)
This looks like I will actually need to use my brain I pass