Given
mean of 406 grams and a standard deviation of 27 grams.
Find
The heaviest 14% of fruits weigh more than how many grams?
Explanation
given
mean = 406 gms
standard deviation = 27 gms
using standard normal table ,
![\begin{gathered} P(Z>z)=14\% \\ 1-P(Zso , [tex]\begin{gathered} x=z\times\sigma+\mu \\ x=1.08\times27+406 \\ x=435.16 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20P%28Z%3Ez%29%3D14%5C%25%20%5C%5C%201-P%28Zso%20%2C%20%5Btex%5D%5Cbegin%7Bgathered%7D%20x%3Dz%5Ctimes%5Csigma%2B%5Cmu%20%5C%5C%20x%3D1.08%5Ctimes27%2B406%20%5C%5C%20x%3D435.16%20%5Cend%7Bgathered%7D)
Final Answer
Therefore , The heaviest 14% of fruits weigh more than 435.16 gms
Answer:
the linear approximation formula is based on the equation of the tangent line of a function at a fixed point. The linear approximation of a function f(x) at a fixed value x = a is given by L(x) = f(a) + f '(a) (x - a).
Step-by-step explanation:
Answer:
The annual percentage rate of change for the population of Oregon is of 8.125%.
Step-by-step explanation:
Total percentage change:
Change multiplied by 100 and divided by the initial value.
Change: 8.7 - 4.8 = 3.9 million
Initial value: 4.8
Percentage change: 3.9*100/4.8 = 81.25%
Annual percentage rate of change
81.25% during 10 years(from 2000 to 2010).
So, per year
81.25%/10 = 8.125%
The annual percentage rate of change for the population of Oregon is of 8.125%.
Answer:
4 
+ 8 x - 435=0
Step-by-step explanation:
Let x be any natural number
Let the age of Bill= 2 x+ 1 years (Since age is odd integer)
Than, age of a Susan= 2 x + 3 years
Since ages are consecutive odd integers
According to question
(2 x+1)(2 x+ 3)= 438
4 + 8 x + 3 = 438
4 + 8 x + 3 - 438 =0
4 + 8 x - 435=0
This equation can be used to find the ages of both
Hence, the correct answer is 4 + 8 x - 435=0
Answer:
70
Step-by-step explanation:
Apparently, you want the ratio of the weights:
(dino weight)/(car weight) = (2.8×10^5)/(4×10^3)
= (2.8/4)×10^(5-3) = 0.7×10^2 = 0.7×100
= 70
The heaviest dinosaur weighed about 70 times the weight of an average car.
_____
Your calculator can do arithmetic in scientific notation. So can any spreadsheet.
The applicable rule of exponents is ...
(10^a)/(10^b) = 10^(a-b)
