Write g(x)=4x^2+88 in vertex form
1 answer:
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Answer:
Step-by-step explanation:
Given
Required
Determine the
<em>- sin</em>
<em>- cosine</em>
<em>- tangent</em>
of an angle
The given expression can be represented as follows;
Where A = 94 and B = 37
In trigonometry:
Substitute 94 for A and 37 for B
Hence, the angle is 57;
<em>Since 57 is not a special angle; I'll solve using a calculator</em>
Answer:
The weight corresponding to which weight will be larger than 14% of times equals 427.635 grams.
Step-by-step explanation:
We need to find the value of weight that corresponds to 14% of area under the normal distribution curve
It is given that
Using standard normal distribution tables we find value of Z corresponding to 14% of the area as -1.080
Thus using the standard equation
Answer:
a)
b)
c)
Step-by-step explanation:
1) Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Let X the random variable that represent interest on this case, and for this case we know the distribution for X is given by:
And let represent the sample mean, the distribution for the sample mean is given by:
On this case
Part a
We want this probability:
The best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
Part b
We want this probability:
If we apply the formula for the z score to our probability we got this:
Part c
We are interested on this probability
If we apply the Z score formula to our probability we got this:
And we can find this probability on this way:
And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.