What is 7(-3). I am confuse and don't understand.
1 answer:
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Answer:
x = 10
Step-by-step explanation:
or, 10x + 8 = 4(2x + 7)
or, 10x + 8 = 8x + 28
or, 10x - 8x = 28 -8
or, 2x = 20
or, x = 20/2
or, x = 10
x = 10
Step 1:
(3,6) means x coordinate is 3 and y coordinate 6
Step 2:
We substitute the values of x = 3 and y = 6 into the inequality
Conclusion:
Since 6 is equal to 6, then (3,6) is a solution of the given Inequality
Answer:
The level L such that there is probability only 0.01 that the mean glucose level of 6 test results falls above L is L = 127.1 mg/dl.
Step-by-step explanation:
To solve this problem, we need 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 level L such that there is probability only 0.01 that the mean glucose level of 6 test results falls above L ?
This is the value of X when Z has a pvalue of 1-0.01 = 0.99. So X when Z = 2.33.
By the Central Limit Theorem
The level L such that there is probability only 0.01 that the mean glucose level of 6 test results falls above L is L = 127.1 mg/dl.