We want to find 150% of 3000. since 150% is greater than 100%, it is expected that 150% 0f 3000 will also be greater than 3000.
Therefore, 150% of 3000 is equal to 4500.
What's the GCF of 12a^2b^6, 28a^4 and 42ab^3? How did you find your answer?
1 answer:
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Answer:
2.28% probability that the mean amount of their monthly cell phone bills is more than $60
Step-by-step explanation:
To solve this question, 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 normally distributed random variable X, with mean and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this problem, we have that:
What is the probability that the mean amount of their monthly cell phone bills is more than $60?
This is 1 subtracted by the pvalue of Z when X = 60. So
By the Central Limit Theorem
has a pvalue of 0.9772
1 - 0.9772 = 0.0228
2.28% probability that the mean amount of their monthly cell phone bills is more than $60
The complete question in the figure attached
1) calculate the area <span>all four sides
A=[12+9+12+9]*8=336 ft</span>²
if 1 gallons---------------------------- > covers 350 ft²
X------------------------------------ > 336 ft²
X=336/350=0.96 gallons
but remember
<span>that there are two coats of paint
</span>therefore
0.96*2----------- > 1.92------- > 2 gallons
the answer is 2 gallons
1) calculate the area <span>all four sides
A=[12+9+12+9]*8=336 ft</span>²
if 1 gallons---------------------------- > covers 350 ft²
X------------------------------------ > 336 ft²
X=336/350=0.96 gallons
but remember
<span>that there are two coats of paint
</span>therefore
0.96*2----------- > 1.92------- > 2 gallons
the answer is 2 gallons