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
Hey!
Answer: First way: x * 1.05
This computes directly what 105% of x will be.
Second way: x + (x * 0.05)
This takes x (which is 100%) and adds 5% of x to it.
Hope this helps!
~LENA~
If you are not familiar with the Pythagorean theorem, I will write it below to remind you for your future mathmatical endeavours:
c is the hypotenuse, and a and b are the other two sides. The hypotenuse is the largest side of a triangle. In this example, a and b are equal to each other and c is equal to 2, so I'm going to convert b into a and do some math trickery here:
Basically, I swapped b with a and combined like terms. Then I just replaced c with 2, then squared it into 4.
All you have to do now is solve for a
Step 1 is to divide both sides by 2 to get:
Then just square both sides:
Now you know that the length of the sides are equal to the square root of 2.
Sorry if this was a bit rushed, I hate running out of time on these. If you have any questions on why I did something, ask away in the comments.
Sorry i did not get your question bc there is no sign for + or -
The surface area is 216 cm sq.
Square base formula: length * width
One square base is 70 cm sq (7*10), another is 56 cm sq (7*8), and the final base is 42 cm sq (7*6).
The height of both triangular faces is 4.8 cm
The two triangular faces are 24 cm sq each, 48 cm sq when added together.
Add all 5 numbers up to get 216.
