Answer:
2 more muffins
Step-by-step explanation:
<em>Since, </em>
<u><em>Given that:</em></u>
<em>Laila made 12 Muffins</em>
<em>Shannon made 10 Muffins</em>
<u><em>Question to Answer:</em></u><em>
How many more did Laila make?</em>
<u><em>Solve:</em></u>
<em>Since it asking how many more laila made that means we have to subtract to find how many more laila has.</em>
<em>As given, we know that Laila made 12 Muffins and Shannon made 10 Muffins then:</em>
<em>Laila Muffins - Shannon Muffins</em>
<em>Which also means:</em>
<em>12 - 10</em>
<em>Which,</em>
<em>12 - 10 = 2</em>
<em>Hence, Laila makes 2 more Muffins than Shannon</em>
<em />
<u><em>Kavinsky</em></u>
Answer:
x = 3.87
Step-by-step explanation:
Using the right angle altitude theorem, we know that all three triangles are congruent, so the lengths of corresponding sides of the triangles are in proportion..
AD/DB = DB/DC
15/x = x/1
x² = 15
x = √15
x = 3.87
Answer:
x = 144
Step-by-step explanation:
What you need to remember about this geometry is that all of the triangles are similar. As with any similar triangles, that means ratios of corresponding sides are proportional. Here, we can write the ratios of the long leg to the short leg and set them equal to find x.
x/60 = 60/25
Multiply by 60 to find x:
x = (60·60)/25
x = 144
_____
<em>Comment on this geometry</em>
You may have noticed that the above equation can be written in the form ...
60 = √(25x)
That is, the altitude from the hypotenuse (60) is equal to the geometric mean of the lengths into which it divides the hypotenuse (25 and x).
This same sort of "geometric mean" relation holds for other parts of this geometry, as well. The short leg of the largest triangle (the hypotenuse of the one with legs 25 and 60) is the geometric mean of the short hypotenuse segment (25) and the total hypotenuse (25+x).
And, the long leg of the large triangle (the hypotenuse of the one with legs 60 and x) is the geometric mean of the long hypotenuse segment (x) and the total hypotenuse (25+x).
While it can be a shortcut in some problems to remember these geometric mean relationships, you can always come up with what you need by simply remembering that the triangles are all similar.
L = H - 24
L = low temperature.
H = High Temperature = 92 degrees
L = 92 - 24
L = 68
Answer:
a) 
And we can find this probability using the normal standard table or excel and we got:
b) 
And we can find this probability using the complement rule and the normal standard table or excel and we got:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Part a
Let X the random variable that represent the time for the step 1 and Y the time for the step 2, we define the random variable R= X+Y for the total time and the distribution for R assuming independence between X and Y is:
Where 
and 
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability using the normal standard table or excel and we got:
Part b
And we can find this probability using the complement rule and the normal standard table or excel and we got:
