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3 years ago

What is the greatest product you can make by multiplying two 2-digit numbers? Explain.

Mathematics

2 answers:

Anestetic [448]3 years ago

5 0

9801
99 is the greatest 2 digit number so if you do 99x99 you will get 9801

cricket20 [7]3 years ago

4 0

Answer:

basically to answer this we have to talk about alternate timelines and parallel universes.

Step-by-step explanation: numbers are never ending which means that 1*2 =2*2=4*2=8 so on forever even into the numbers where it has a "e +11" at the end and forever and past that just keep multiplying by 2 forever until you reach nonexistent numbers

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An experiment was conducted to observe the effect of an increase in temperature on the potency of an antibiotic. Three 1-ounce p

ludmilkaskok [199]

Answer:

a) $y=-0.317 x +46.02$

b) Figure attached

c) $S^2=\hat \sigma^2=MSE=\frac{190.33}{10}=19.03$

Step-by-step explanation:

We assume that th data is this one:

x: 30, 30, 30, 50, 50, 50, 70,70, 70,90,90,90

y: 38, 43, 29, 32, 26, 33, 19, 27, 23, 14, 19, 21.

a) Find the least-squares line appropriate for this data.

For this case we need to calculate the slope with the following formula:

$m=\frac{S_{xy}}{S_{xx}}$

Where:

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}$

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}$

So we can find the sums like this:

$\sum_{i=1}^n x_i = 30+30+30+50+50+50+70+70+70+90+90+90=720$

$\sum_{i=1}^n y_i =38+43+29+32+26+33+19+27+23+14+19+21=324$

$\sum_{i=1}^n x^2_i =30^2+30^2+30^2+50^2+50^2+50^2+70^2+70^2+70^2+90^2+90^2+90^2=49200$

$\sum_{i=1}^n y^2_i =38^2+43^2+29^2+32^2+26^2+33^2+19^2+27^2+23^2+14^2+19^2+21^2=9540$

$\sum_{i=1}^n x_i y_i =30*38+30*43+30*29+50*32+50*26+50*33+70*19+70*27+70*23+90*14+90*19+90*21=17540$

With these we can find the sums:

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=49200-\frac{720^2}{12}=6000$

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}=17540-\frac{720*324}{12}{12}=-1900$

And the slope would be:

$m=-\frac{1900}{6000}=-0.317$

Nowe we can find the means for x and y like this:

$\bar x= \frac{\sum x_i}{n}=\frac{720}{12}=60$

$\bar y= \frac{\sum y_i}{n}=\frac{324}{12}=27$

And we can find the intercept using this:

$b=\bar y -m \bar x=27-(-0.317*60)=46.02$

So the line would be given by:

$y=-0.317 x +46.02$

b) Plot the points and graph the line as a check on your calculations.

For this case we can use excel and we got the figure attached as the result.

c) Calculate S^2

In oder to calculate S^2 we need to calculate the MSE, or the mean square error. And is given by this formula:

$MSE=\frac{SSE}{df_{E}}$

The degred of freedom for the error are given by:

$df_{E}=n-2=12-2=10$

We can calculate:

$S_{y}=\sum_{i=1}^n y^2_i -\frac{(\sum_{i=1}^n y_i)^2}{n}=9540-\frac{324^2}{12}=792$

And now we can calculate the sum of squares for the regression given by:

$SSR=\frac{S^2_{xy}}{S_{xx}}=\frac{(-1900)^2}{6000}=601.67$

We have that SST= SSR+SSE, and then SSE=SST-SSR= 792-601.67=190.33[/tex]

So then :

$S^2=\hat \sigma^2=MSE=\frac{190.33}{10}=19.03$

5 0

3 years ago

There are 4 red marbles and 8 blue marbles in a bag. Jamie will randomly pick one marble and flip a coin. what is the probabilit

Yuri [45]

Answer:

Step-by-step explanation:

3 0

3 years ago

Help me pleaseeeee somebody ASAP

tatyana61 [14]

Answer:

x = 12

Step-by-step explanation:

In similarity triangles angles are congruent.

∠D = ∠A

x² - 8x = 48

x² - 8x - 48 = 0

x² + 4x - 12x - 48 = 0

x(x + 4) - 12(x + 4) = 0

(x +4)(x - 12) = 0

x - 12 = 0 {Ignore x + 4 = 0, as measurements won't have negative values}

x = 12

3 0

3 years ago

Please help and thanks in advance <br><br><br> Add 0.65 and 0.24. How many tenths are in the sum?

elena-s [515]

There are 8 tenths in the sum. .65+.24 is .89. tenths are the first digit to the right of the decimal. 80 and 8x10=80

6 0

3 years ago

The function g(x) is the transformation of the function f(x). Decide how f(x) was transformed to make g(x).

yan [13]

Answer:

Correct option: A -> Horizontal or vertical reflection

Step-by-step explanation:

We can observe that the value of x in f(x) gives a value that is the same value we have in g(x) with the value -x.

That is, x = 1 in f(x) gives the same result as x = -1 in g(x)

So this means that these functions are a reflex of each other in relation to the y-axis, as the x values of one have the same result as (-x) values for the other one.

So the correct option is A: Horizontal or vertical reflection

(It is a horizontal reflection)

6 0

3 years ago