Answer:
81 cm²
Step-by-step explanation:
Since, the lateral face of a triangular pyramid is a triangle,
Given,
The base edge or the base of one lateral face of pyramid, a = 6 cm,
And, the slant height or the height of the face, k = 9 cm,
Thus, the area of one lateral face of the pyramid,
We know that, a Regular triangular pyramid has 3 lateral faces,
Hence, the total lateral area of the pyramid,
Answer:
The mean of X is 122.5 and the standard deviation is 7.9.
Step-by-step explanation:
For each adult, there are only two possible outcomes. Either they believe that the overall state of moral values is poor, or they do not believe this. The probability of an adult believing this is independent of other adults. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
The expected value of the binomial distribution is:
The standard deviation of the binomial distribution is:
In this problem, we have that:
So
The mean of X is 122.5 and the standard deviation is 7.9.
A) The constant of proportionality in this proportional relationship is
B) The equation to represent this proportional relationship is y = 0.2x
<h3><u>Solution:</u></h3>Given that,
The amount Naomi pays each month for international text messages is proportional to the number of international texts she sends that month
Therefore,
This is a direct variation proportion
Let "y" be the amount that Naomi pays each month
Let "x" be the number of international texts she sends that month
Therefore,
y = kx -------- eqn 1
Where, "k" is the constant of proportionality
Thus the constant of proportionality in this proportional relationship is:
<em><u>Last month, she paid $3.20 for 16 international texts</u></em>
Therefore,
y = 3.20
x = 16
Thus from eqn 1,
Substitute k = 0.2 in eqn 1
y = 0.2x
The equation would then be y = 0.2x
