Answer:
28.478
Step-by-step explanation:
Answer:
Step-by-step explanation:
Answer:
The weight corresponding to which weight will be larger than 14% of times equals 427.635 grams.
Step-by-step explanation:
We need to find the value of weight that corresponds to 14% of area under the normal distribution curve
It is given that
![\overline{X}=446\\\\\sigma =17](https://tex.z-dn.net/?f=%5Coverline%7BX%7D%3D446%5C%5C%5C%5C%5Csigma%20%3D17)
Using standard normal distribution tables we find value of Z corresponding to 14% of the area as -1.080
Thus using the standard equation
![Z=\frac{X-\overline{X}}{\sigma }\\\\X=\sigma \times Z+\overline{X}\\\\\therefore X=427.635grams](https://tex.z-dn.net/?f=Z%3D%5Cfrac%7BX-%5Coverline%7BX%7D%7D%7B%5Csigma%20%7D%5C%5C%5C%5CX%3D%5Csigma%20%5Ctimes%20Z%2B%5Coverline%7BX%7D%5C%5C%5C%5C%5Ctherefore%20X%3D427.635grams)
Answer:
area of triangle=1/2×base×height
area of triangle=1/2×24×7
area of triangle=84unit²