Answer:
a) 
b) 
c) 
But we see that the distribution is defined ust between 49.62 and 50.04
And in order to find this we can use the CDF (Cumulative distribution function) given by:
And if we replace we got:
And makes sense since all the values are between 49.62 and 50.04
Step-by-step explanation:
For this case we define the random variable X ="net weigth in pounds of a packaged chemical herbicide" and the distribution for X is given by:
Part a
For the uniform distribution the expected value is given by 
where X is the random variable, and a,b represent the limits for the distribution. If we apply this for our case we got:
Part b
The variance for an uniform distribution is given by:
And if we replace we got:
Part c
For this case we want to find this probability:
But we see that the distribution is defined ust between 49.62 and 50.04
And in order to find this we can use the CDF (Cumulative distribution function) given by:
And if we replace we got:
And makes sense since all the values are between 49.62 and 50.04
Answer:
The graph of the functions moves 4 units right, 3 units up stretches vertically by a factor of 3 and reflects horizontally.
Step-by-step explanation:
In order to find the function transformations, we must first determine what the base function is:
Next, we need to determine how the function is being affected by the transformations.
When the graph of the function moves 4 units right, we mus subtract 4 units from x, so the function looks like this then:
If we need to stretch it vertically by a factor of 3, we need to multiply the function by 3:
If we need to reflect it horizontally, then we turn the 3 into a negative so we get:
And finally, if we wanted to move the graph up by 3 units, then we need to add 3 units to the whole graph, so we get:
in the attached picture you will be able to see the graph of the base function with all the transformations.
Answer:
Step-by-step explanation:
240 is the answer
Hope this helps you
2 - 7 = -5
8i - 2i = 6i
-5 + 6i is your answer
hope this helps
The value of x, which is the length of ST in the given similar polygons is: 2.4.
<h3>What are Similar Shapes?</h3>
If two shapes are similar to each other, the ratio of their corresponding side lengths would be equal.
Thus, since both pentagons are similar, we would have:
CB/RQ = DE/ST
Plug in the values
5/6 = 2/x
Cross multiply
x = (6 × 2)/5
x = 12/5
x = 2.4
Therefore, the value of x, which is the length of ST in the given similar polygons is: 2.4.
Learn more about similar shapes on:
brainly.com/question/4381215
