Answer: 25 as a exponent is .
Step-by-step Explanation: To write a exponent, you figure out the main number and how many times the main number is repeating.
Ex: 91x91x91x91x91x91x91
Main number: 91
Repeating how many times: 7
Final answer:
Estelle is helping at a community food drive by boxing up cans of soup. There are two sizes of boxes, large and small. Estelle f
2 answers:
Answer:
The small box contains 21 cans
<em></em>
Step-by-step explanation:
Represent the small box with S and the large with L.
For Estelle:
For the boy:
Required
Determine the cans in the small box
--- (1)
--- (2)
Divide (2) through by 4
Make L the subject
Substitute 46 - S for L in (1)
Open bracket
Collect Like Terms
Divide both sides by 2
<em>Hence, the small box contains 21 cans</em>
You might be interested in
Answer:
0% probability that the sample mean would have been as high or higher than 3.1 if the company’s claims were true.
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 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 approximate probability that the sample mean would have been as high or higher than 3.1 if the company’s claims were true?
This is 1 subtracted by the pvalue of Z when X = 3.1. So
By the Central Limit Theorem
has a pvalue of 1.
1 - 1 = 0
0% probability that the sample mean would have been as high or higher than 3.1 if the company’s claims were true.