Answer:
a) .033 b) .4678 c) 100
Step-by-step explanation:
Distribution of miraculin produced is normal. To answer question we need to find the z-score of 100g, 110g and 120g miraculin
General formula for z score is given by
z=
where
- X is the miraculin produced (120,110,100)
- M is the mean miraculin produced for a partucilar tomato plant, which is 105.3
- s is the standard deviation of the sample, which is 8.0
a)
z-score for 120 g miraculin is 
=1.8375 then
P(x > 120) = P(z>1.8375) = 0.033
b)
z-score for 110 g miraculin is 
= 0.5875
z-score for 100 g miraculin is 
= -0,6625
P(100 < x < 110) = P(x>100) - P(x>110) =0.7462 - 0,2784 = 0.4678
c)
if P(x < a) = 0.25 then corresponding z score for a is -0.6745. From the above formula we can calculate a:
=-0.6625 which gives a= 100
<span>-15r + 3(2s - 4r)
=</span><span>-15r + 6s - 12r
= -27r + 6s
or
= 6s - 27r</span>
a. y = (x − 5)^2 − 2
b. y = (x − 1)^2 + 12
c. left 4 units, up 14 units
Slope is change in y over change in x. From 0 to 10 we change by 10 so 10/x=2. The change in x=5 but you’re not looking for the change in x. You’re looking for a value that would give you change in x being 5 which would be 0. 0 to 5 gives us a change in x of 5. 10/5 is 2 which is the slope.
Answer:
$4
Step-by-step explanation:
For this, you want to find the greatest common factor
This basically means what number can be divided out of all of these.
So, you can find the factors for all of them and find which one appears in all three numbers and which is the greatest number
for 12:
1, 2, 3, 4, 6, 12
For 20:
1, 2, 4, 5, 10, 20
For 56:
1, 2, 4, 7, 8, 14, 28, 56
The numbers that appear in all of there are:
1, 2, and 4
And since we want to find the greatest amount she can charge for bracelet, the answer is:
$4
