What is 160% of 19? What is 0.9% of 54? What is 15% of 376?
1 answer:
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Answer:
<h2>y = 9x + 65</h2>Step-by-step explanation:
To find the equation of the line given the slope and a point we use the formula
where
m is the slope
( x1 , y1) is the point
From the question the slope is 8 and the point is ( - 9 , - 7)
Substitute the values into the above formula and solve for the equation
We have
We have the final answer as
<h3>y = 9x + 65</h3>Hope this helps you
Answer:
a) 0.9959 = 99.59% probability that the mean weight is less than 9.3 ounces
b) 0.0129 = 1.29% probability that the mean weight is more than 9.0 ounces
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 normal distributions 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.
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.
Mean of 8.0 ounces and a standard deviation of 1.1 ounces.
This means that
(a) If 5 potatoes are randomly selected, find the probability that the mean weight is less than 9.3 ounces?
means that
This probability is the pvalue of Z when X = 9.3. So
By the Central Limit Theorem
has a pvalue of 0.9959
0.9959 = 99.59% probability that the mean weight is less than 9.3 ounces
(b) If 6 potatoes are randomly selected, find the probability that the mean weight is more than 9.0 ounces?
means that
This probability is 1 subtracted by the pvalue of Z when X = 9. So
has a pvalue of 0.9871
1 - 0.9871 = 0.0129
0.0129 = 1.29% probability that the mean weight is more than 9.0 ounces
Division of a fraction is the equivalent of multiplying by its reciprocal
ex.
i suggest you try to remember this concept
in terms of your question
from this point, just multiple the numerators together and denominators together, then simplify if necessary
fyi- difference of squares
relating that to
also a side note, you might want to factor out the 4 first in the top fraction
ex.
i suggest you try to remember this concept
in terms of your question
from this point, just multiple the numerators together and denominators together, then simplify if necessary
fyi- difference of squares
relating that to
also a side note, you might want to factor out the 4 first in the top fraction