Answer:
See below.
Step-by-step explanation:
A pansexual is attracted to another regardless of their sex or gender identity.
Answer:

Step-by-step explanation:
<em>This question has uncleared details towards the end. However, one can deduce that we need to calculate the amount of box the available space can contain.</em>
<em></em>
<u>We have the following given parameters.</u>
<u>Shipping Container</u>

<u>The box</u>

First, we calculate the volume of the shipping container.


Next, we calculate the volume of the box.


The number of box is then calculated as:




Hence:
<em>198 boxes will occupy the empty space</em>
Answer:
a
The 95% confidence interval is
b
The result obtained does not contradict expectation
Step-by-step explanation:
From the question we are told that
The number of green peas is k = 438
The number of yellow peas is u = 173
Generally the sample size is mathematically represented as

=>
=> 
Generally the sample proportion for yellow peas is

=> 
=> 
From the question we are told the confidence level is 95% , hence the level of significance is
=>
Generally from the normal distribution table the critical value of
is
Generally the margin of error is mathematically represented as
=>
=>
Generally 95% confidence interval is mathematically represented as
=>
=>
From the question we are told that it was expected that 25% of the offspring peas will be yellow
Now from the 95% confidence interval obtained we see that the expected sample proportion(25% ) falls within it so it means that the result obtained does not contradict expectation
Answer:
- The instantaneous rate of increase of f(x) at
is 3. - One possible equation of this line is y = 3x - 16.
- The line is tangent to the graph of y = f(x). The slope of the line is the same as the instantaneous rate of increase of f(x) at
.
Step-by-step explanation:
<h3>1.</h3>
.
<h3>2.</h3>
.
In other words, the graph of y = f(x) passes through the point (3, -7) where
.
The point-slope form of a line in a cartesian plane is:
.
For this line,
is the point on the line, while
is the slope of the line.
The equation of this line will thus be
.
That's equivalent to
.
<h3>3.</h3>
Refer to the diagram attached. The line touches the graph of y = f(x) at x = 3 without crossing it. The line here is thus a tangent to the graph of y = f(x) at x = 3. The slope of the line represents the instantaneous rate of increase of f(x) at
.
Step-by-step explanation:
To calculate a slope, we need to apply: 
Applying formula to each slope:

So, as you can see, there are equal pair of slopes, meaning that they are parallels, which<em> demonstrate that it's actually a quadrilateral figure.</em>