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s2008m [1.1K]
1 year ago
11

Tutorial D

Mathematics
1 answer:
zalisa [80]1 year ago
6 0
The point is anywhere below 0 on the Y axis
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The dot plot displays the number of bushes in the yards for houses in a neighborhood. What is the median?
Nesterboy [21]

Answer:

Median = 8

Step-by-step explanation:

Data set representing the number of bushes in the yards of the houses in the neighborhood will be,

{5, 5, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 9, 9, 10, 11, 11, 11, 11, 11}

Total number of houses = 20

Since, 20 is an even number,

Median of the data = average of middle two term

                                = average of 20th term and 21st term of the data set

                                = \frac{8+8}{2}

                                = 8

Median of the data set = 8

3 0
3 years ago
Jesse takes his dog and cat for their annual vet visit. Jesse's dog weighs 23 pounds. The vet tells him his cats weight is 5/8 a
Anton [14]
Dog weigh: 23
cat weigh: 5/8 dogs weigh 
so.. 
23x5/8 = 115/8  
8 0
3 years ago
2. The pool maintenance man forgot to bring his logarithmic charts, and he needs to raise
rusak2 [61]

Answer:

hey have made this a little more confusing than it has to be. Usually we use H+ in chemistry instead of t, but you can also use X, Y if it's easier where Y = -log(X) where X= hydronium and Y = pH.

Which also means Y=p(t) and X = t.

To graph this, I would suggest using values for X like 0.1, 0.2, 0.5, 0.7, 1.0, 1.5, or similar numbers. Then use your calculator to calculate Y values for each of these X values and plot them. You can also use a spreadsheet. If you have Excel I can help you to use it. Either way you can then use your graph to answer the questions in part 1 where Y = 0 and Y=1 and just read off the X values.

Part 2 is worded badly. It's ambiguous to say "raised by 0.5" since if you raise hydronium (= X) by 0.5, the change in pH (=Y) will vary depending on where you start. They meant "raise to 0.5", though they do say this at the end of the question. Anyway, you can easily read it off your graph using 0.5 as the X value.

Now to set up the exponential function this is much easier than it sounds. Just remember that a logarithm is the inverse of an exponent so they cancel each other out:  As an example log(10X) = X.

So applying here, just take this equation  Y = -log(X) and raise 10 to both sides of the equation:

10Y = 10-log(X)    which gives you 10Y = 1/X or more usefully X = 10-Y where again X= hydronium and Y = pH

Part 3, these questions actually have no relationship to anything in chemical reality, but are just exercises to see if you can manipulate the graph and function. But they do illustrate at least one interesting point. Note that in the equation

X = 10-Y

X can never =0. This makes sense since there is nothing you can raise 10 to that will make it zero. It also makes sense chemically since in water you can never have zero hydronium. Similarly using the other form

Y = -log(X)

You know X can also never be zero since you can't have log(0).

Now when they ask for a "Y intercept" they are asking for when X=0 which as stated is never in the above case. However when you transform the equation the ways they want you to, then maybe sometimes you can:

So for p(t) + 1 that really means Y = -log(x) + 1.  Still here you can not have a Y intercept (X can't =0) since you would still have log(0) which is forbidden.

But p(t+1) really means Y = -log(X+1). Here of course X can be zero since that just gives you log(1). So you have a Y-intercept.

I'll leave it for you to figure out the third one, the question being if you set X=0, will you get log(0)? If so, that's forbidden. If not, you will have a Y intercept.

5 0
2 years ago
Quadratic function of Y=x2-2x-3
Svetach [21]
Ok! So, given a quadratic function<span>, </span>y<span> = ax</span>2<span> + bx + c, when "a" is positive, the </span>parabola <span>opens upward and the vertex is the minimum value. On the other hand, if "a" is negative, the graph opens downward and the vertex is the maximum value. Now, let's refer back to our original graph, </span>y<span> = </span><span>x2</span><span>, where "a" is 1.

Hope this helps.</span>
6 0
3 years ago
A survey of 11 students showed that 8 liked science, 7 liked mathematics, and 4 liked both. How many students just liked science
andreyandreev [35.5K]

Answer:

4 I guess..........not sure but my answer is 4

5 0
3 years ago
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