<u>Given</u>:
The given figure is a square pyramid.
The side length of the base of the pyramid is 6.6 feet.
The height of the pyramid is 12.672 feet.
We need to determine the volume of the pyramid.
<u>Area of the base:</u>
The area of the base can be determined using the formula,

where a is the side length of the base.
Substituting a = 6.6, we get;


Thus, the area of the base is 43.56 square feet.
<u>Volume of the pyramid:</u>
The volume of the pyramid can be determined using the formula,

where A is the area of the base and h is the height of the pyramid.
Substituting A = 43.56 and h = 12.672, we get;


Thus, the volume of the pyramid is 184 cubic feet.
Using the binomial distribution, it is found that the mean of X is of 12, with a standard deviation of 3.36.
For each chip, there are only two possible outcomes, either it is defective, or it is not. The probability of a chip being defective is independent of any other chip, hence, the binomial distribution is used to solve this question.
Binomial probability distribution
Probability of exactly <u>x successes on n repeated trials, with p probability.</u>
The mean of the binomial distribution is:
The standard deviation of the binomial distribution is:
In this problem:
- Six percent of computer chips produced by Cheapo Chips are defective, hence
.
- Each month a random sample of 200 chips manufactured that month are taken, hence

Then:


The mean of X is of 12, with a standard deviation of 3.36.
A similar problem is given at brainly.com/question/12473640
3 times 0.85 + 2 times 1.89 equals 6.33
Divide 6.33 by 2 equals $3.165
5 minus 3.165 = $1.835
Which $1.835 is your change you receive
Answer:
It has amplitude of
.
It is a horizontal shift of the parent function
units left.
Step-by-step explanation:
We have the function,
.
It is clear that the parent function is
.
So, we see that,
The amplitude of the function f(x) is
, which gives,
.
Also, g(x) is translated
units to the left, which gives,
.
Further, the function is translated 1 unit downward, resulting in
.
So, the correct options are,
It has amplitude of
.
It is a horizontal shift of the parent function
units left.
Ur independent variable is ur x values....ur dependent variable is ur y values..so if hrs are on the x axis, then ur independent values are ur hrs (or time)....and ur dependent values are ur distance.
(0,0),(2,50)
slope = (50 - 0) / (2 - 0) = 50/2 = 25
y = mx + b
slope(m) = 25
and since u have point (0,0), ur y int (b) = 0
so ur equation is y = 25x + 0 which is written as y = 25x...which is basically saying that he travels 25 miles per hr
how far will he travel in 24 hrs.....so sub in 24 for x
y = 25(24)
y = 600 miles
in summary : The dependent variable is distance, the equation is y = 25x and the dragonfly will fly 600 miles.