Mixing the two ingredients would be adding them together:
1/2 gram + 3/4 gram = 1 1/4 total grams
Divide the total grams by 1/8 to find the number of experiments they can do:
1 1/4 / 1/8 = 5/4 / 1/8 = 5/4 * 8/1 = 40/4 = 10
They can conduct 10 experiments.
Answer:
1. 5040
2. 20
Step-by-step explanation:
1. using the formula for permutation
nPr=n!/(n-r)!
10P4 = 10!/(10-4)!
=10*9*8*7*6!/6!
then we are left with
=10*9*8*7
=5040
2.using the formula for combination
nCr=n!/(n-r)!r!
6C3=6!/(6-3)!3!
=6*5*4*3!/3!3!
=6*5*4/3*2*1
=20
Formula to find the arc length is:

Where, s= arc length,
r = radius of the circle
\theta = central angle in degrees.
According to the given problem, \theta= 150 and r =2.4.
So, first step is to plug in these values in the above formula to get the arc length.

=


So, arc length is
.
Hi there!
Here is what the rules says
+ * + = + (Plus times plus = plus)
+*- = - (Plus times minus = minus)
- * - = + (Minus times minus = Plus
- * + = - (minus times plus = minus)
You need to know the rules by heart because you will use it a lot.
So let see how it works with the problem
6 -(-7)
What does the rules say? It says
- * - = plus
So, we gonna use PLUS for the sign
6-(-7) = 6 + 7 = 13
13 is the correct answer.
I hope I helped. Please let me know if you have more questions.
Answer: Mean = 23
Step-by-step explanation:
<u>Given information:</u>
35, 40, 12, 16, 25, 10
<u>Given formula:</u>

<u>Substitute values into the formula</u>

<u>Combine like terms</u>



<u>Simplify the fraction</u>

Hope this helps!! :)
Please let me know if you have any questions