Wayne Gretzky scored 50% more points than anyone else who ever played professional Hockey during his 20 seasons in the National Hockey League. He accomplished this amazing feat while playing in 280 fewer games than Gordy Howe, who is the previous record holder. The number of games he played during each season:
79,80,80,80,74 ,80,80,79,64,78,73,78,74,45,81,48,80,82,82,70.
a) The stem and leaf plot for the data can be comfortably obtained from the excel option as follows: XL STAT option in excel as follows:
1. In excel sheet choose XL STAT
2. Then in that choose the visualizing data- uni-variate plots.
3. In univariate plot – chart -select the stem and leaf plot.
4. In quantitative data select the data set and click ok.
A summary of the statistics and a stem and leaf plot can be obtained as follows.
<span>Solve for d.
5+d>5−d Subtract 5 from both sides of this inequality:
d>d There is no value for d that satisfies this inequality.
No value can be greater than itself.
</span><span>Solve for p.
2p+3>2(p−3) Multiply this out: 2p+3>2p-6
</span><span> Subtr 3 from both sides: 2p> 2p-9
This is equivalent to 2p+9>2p.
We could subtr. 2p from both sides: 0>-9.
0> -9 is always true. Thus, the given inequality has infinitely many solutions.
</span>
Applying the differentiation rule, it can be obtained that:
,
and
.
<h3>What is the formula for differentiating an exponential function?</h3>
The exponential function exists a mathematical function designated by f(x)=\exp or e^{x}. Unless otherwise determined, the term generally directs to the positive-valued function of a real variable, although it can be extended to complex numerals or generalized to other mathematical objects like matrices or Lie algebras.
In mathematics, the derivative of a function of a real variable estimates the sensitivity to change of the function value affecting a change in its statement. Derivatives exist as a fundamental tool of calculus.
.
Given that
.
So, differentiating
with respect to
, we get:
.
So, using the above formula
, we get:
.
Now, substituting
in
and
, we obtain:
and
.
Therefore, applying the differentiation rule, we get:
,
and
.
To know about the differentiation rule, refer:
brainly.com/question/25081524
#SPJ9
T= 39
W= 0.1
Hope this helps!
What is the table and the box? I dont think it’s possible to answer without seeing the table.