Answer:
38.9
Step-by-step explanation:
the two plans to cost the same?
Answer:
22.66% probability that the mean weight will exceed 3.81 ounces
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 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:
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 mean weight will exceed 3.81 ounces
This probability is 1 subtracted by the pvalue of Z when X = 3.81. So
By the Central Limit Theorem
has a pvalue of 0.7734
1 - 0.7734 = 0.2266
22.66% probability that the mean weight will exceed 3.81 ounces
Answer:
Correct answer is 0.2290
Step-by-step explanation:
Answer:
Bethlehem has temperatures ranging from 33.8 Fahrenheit to 55.4 Fahrenheit.
Step-by-step explanation:
Hope you got it.
1. What is the measure of angle A?
Answer:
t = 4 s
Step-by-step explanation
We can infer the origin from the t⁰ term of the quadratic as being 192 feet above the ground. Initial velocity is 16 ft/s from the t¹ term, gravity is -32 ft/s² from the t² term
0 = -16t² + 16t + 192
0 = -t² + t + 12
0 = t² - t - 12
0 = (t - 4)(t + 3)
so either
t - 4 = 0
t = 4 s
or
t + 3 = 0
t = -3 s which we ignore as it occurs before the ball is released.