Answer:
90
12
0.0154
Step-by-step explanation:
a) #Possible experimental run=#Temp x #pres x #cat=3x5x6=90
b) #Possible experimental run=(Temp. lowest) x 2.pres x #cat=1x2x6=12
c) C="different catalyst is used on each run"
In the first, I can choice 6 of 6 catalysts, in the second 5 of 6,...
then: P(C) = 6/6 x 5/6 x 4/6 x 3/6 x 2/6 x 1/6 = 5/324 = 0.0154
Answer:
a) 
b) 
c) 
Step-by-step explanation:
<u>For the question a *</u> you need to find a polynomial of degree 3 with zeros in -3, 1 and 4.
This means that the polynomial P(x) must be zero when x = -3, x = 1 and x = 4.
Then write the polynomial in factored form.
Note that this polynomial has degree 3 and is zero at x = -3, x = 1 and x = 4.
<u>For question b, do the same procedure</u>.
Degree: 3
Zeros: -5/2, 4/5, 6.
The factors are
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<u>Finally for the question c we have</u>
Degree: 5
Zeros: -3, 1, 4, -1
Multiplicity 2 in -1
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Ann wants to choose from two telephone plans. Plan A involves a fixed charge of $10 per month and call charges at $0.10 per minute. Plan B involves a fixed charge of $15 per month and call charges at $0.08 per minute.
Plan A $10 + .10/minute
Plan B $15 + .08/minute
If 250 minutes are used:
Plan A: $10+$25=$35
Plan B: $15+$20=$35
If 400 minutes are used:
Plan A: $10+$40=$50
Plan B: $15+$32=$47
B is the correct answer. How to test it:
Plan A: $10+(.10*249 minutes)
$10+$24.9=$34.9
Plan B: $15+(.08*249 minutes)
$15+$19.92=$34.92
Plan A < Plan B if less than 250 minutes are used.
Answer:The answer is B
Step-by-step explanation:
first find te height:
1.5/2=0.75 (this will be your "b" of the pythagorean theorem for finding the height)
now do the pythagorean theorem:
a^2+0.75^2=3^2
(height)= 2.905
A= a^2+2a√((a^2/4)+h^2)
a (base edge)= 1.5
h (height)= 2.905
Calculate and you get B as your answer.
Hope this elpsand you get this right!
Answer:
diameter
Step-by-step explanation:
BD is the diameter of the circle.
