Arthur has 6 more than 5 times the number of pencils as Jenny. If Arthur and Jenny combined have 30 pencils, how many pencils do
1 answer:
Answer:
Jenny has 4 pencils.
Step-by-step explanation:
Let
Jenny has pencils = x
Arthur has pencils = 5x+6 (Arthur has 6 more than 5 times the number of pencils as Jenny. )
Total pencils = 30
We need to find how many pencils does Jenny have.
We basically can write the equation:
Total pencils = Jenny pencils + Arthur pencils
Putting values and solving to find value of x:
So, we have value of x = 4
Now, finding number of Jenny pencils:
Jenny has pencils = x = 4
Therefore, Jenny has 4 pencils.
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Step-by-step explanation:
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Substituting given bi-quadratic equation reduces in the form of following quadratic equation:
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Answer:
0% probability of getting a mean temperature of 98.2 degrees F or lower.
Step-by-step explanation:
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
.
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.
In this problem, we have that:
Find the probability of getting a mean temperature of 98.2 degrees F or lower.
This is the pvalue of Z when X = 98.2. So
has a pvalue of 0.
So there is a 0% probability of getting a mean temperature of 98.2 degrees F or lower.