Answer:
12 units
Step-by-step explanation:
The lactus rectum for a parabola is equal to 4 times the length of the focus from the vertex. Therefore, we need to determine the focus by using the equation
for a vertical parabola.
We can deduce that ,
, and
. Therefore, the focus of the parabola is
or
.
Because the focus is , then it is 3 units away from the vertex
, making the length of the latus rectum 3*4=12 units.
Answer: first option.
Step-by-step explanation:
The formula you must use to calculate the volume of the figure shown is the following:
Where B is the area of the base and H is the height.
Assuming that the base of the pyramid is a square, you have that B is:
Substitute values into the formula, Then you obtain:
Answer:
For this case we want to calculate this probability:
And for this case if we use the normal approximation we can use the z score formula given by:
And using this formula with the correction factor of continuity we got:
And using the normal standard table or excel we got:
Step-by-step explanation:
Previous concepts
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
Let X the random variable of interest "number of people with hypertension", on this case we now that:
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
We need to check the conditions in order to use the normal approximation.
So we see that we satisfy the conditions and then we can apply the approximation.
If we appply the approximation the new mean and standard deviation are:
Solution to the problem
For this case we want to calculate this probability:
And for this case if we use the normal approximation we can use the z score formula given by:
And using this formula with the correction factor of continuity we got:
And using the normal standard table or excel we got: