Answer:
120 
Step-by-step explanation:
<em><u>The formula for finding the volume of a prism is:</u></em>
V = Bh
<em><u>You have to convert 13 </u></em>
<em><u> into an improper fraction, like so:</u></em>
<em><u>Convert the other:</u></em>
<em><u /></em>
<em><u>Multiply:</u></em>
<em><u /></em> · = 
<em><u>Convert to mixed fraction:</u></em>
120
<span>
Let's analyze Hannah's work, step-by-step, to see if she made any mistakes. </span>In Step 1, Hannah wrote
<span> as the sum of two separate derivatives </span>
<span>using the </span><span>sum rule.
</span>
This step is perfectly fine. In Step 2,
was kept as it is, and
was rewritten as
using the constant rule.Indeed, according to the constant rule, the derivative of a constant number is equal to zero.
This step is perfectly fine. In Step 3,
was rewritten as
supposedly using the constant multiple rule.
The problem is that according to the constant multiple rule,
should be rewritten as
and not as
.
<span>
Therefore, Hannah made a mistake in this step.</span>
Answers:
- Exactly 25%
- median = 450
- Not enough info (see below)
- IQR = 24
- IQR = 192
=========================================================
Explanations:
- By definition, the quartiles split the data into four equal parts. The first quartile (Q1) will have 25% of the data below it.
- The second quartile is the exact same value as the median. This is because the median splits the data into two equal halves, i.e. is at the midpoint.
- There's not enough info. We can determine that 25% of the company makes more than $60,000, but we don't know how many people total work at the company. This info is missing.
- Subtract the third and first quartiles (Q3 and Q1) to get the interquartile range (IQR). So IQR = Q3 - Q1 = 45-21 = 24
- Same idea as the previous problem. IQR = Q3 - Q1 = 316.5 - 124.5 = 192
Answer:
x to the third power is x cubed or x^3.
