A 5 1/2 ounce straws berry smoothie has 28 1/2 protein in it. Approximately how many grams of protein per ounce are in the smoot
1 answer:
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So basically, think of a ratio as a fraction for these problems. You see the 2 numbers and you put the first one as the numerator and the second as your denominator. For example:
5 to 10
We would change this into:
Because the problem says to simplify, we can divide both sides by 5 and simplify it into:
If the problem says 5:10 instead of "5 to 10" it's the same problem just with different wording. If the numbers are labeled, the you can write the labels next to the number it corresponds with.
If you have any questions, feel free to ask down in the comments, I'll be happy to work with you!
5 to 10
We would change this into:
Because the problem says to simplify, we can divide both sides by 5 and simplify it into:
If the problem says 5:10 instead of "5 to 10" it's the same problem just with different wording. If the numbers are labeled, the you can write the labels next to the number it corresponds with.
If you have any questions, feel free to ask down in the comments, I'll be happy to work with you!
Answer:
38.11% probability that the mean of her sample will be between 2700 and 2800 calories
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal probability distribution
When the distribution is normal, we use 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 question, we have that:
Find the probability that the mean of her sample will be between 2700 and 2800 calories
This is the pvalue of Z when X = 2800 subtracted by the pvalue of Z when X = 2700.
X = 2800
By the Central Limit Theorem
has a pvalue of 0.6554
X = 2700
has a pvalue of 0.2743
0.6554 - 0.2743 = 0.3811
38.11% probability that the mean of her sample will be between 2700 and 2800 calories