Answer:
A. How much flour did she use for both cakes?
1 3/20 lb flour
B. If she started with a 5lb. Bag, How much flour does she have left?
3 17/20 lb
Step-by-step explanation:
Penny used 2/5lb. Of flour to bake a vanilla cake. She used another 3/4lb. Of flour to bake a chocolate cake
A. How much flour did she use for both cakes?
We solve the above question by adding up the pound of flour used for both cakes.
2/5lb Of flour + 3/4lb Of flour
Lowest common denominator = 20
= 8 + 15/20
= 23/20
= 1 3/20 lb flour
B. If she started with a 5lb. Bag, How much flour does she have left?
This is calculated as:
5 lb - 1 3/20 lb
= 3 17/20 lb
Complete Question
The complete question is shown on the first uploaded image
Answer:
a

b
c
The correct option is D
Step-by-step explanation:
From the question we are told that
The margin of error is 
The largest value is k = 15
The smallest value is u = 7
From the question we are told the confidence level is 95% , hence the level of significance is
=>
Generally from the normal distribution table the critical value of
is
Generally population standard deviation estimate is mathematically represented as

Here the Range is mathematically represented as

=> 
=> 
=> 
=> 
Generally the sample size is mathematically represented as
![n = [\frac{Z_{\frac{\alpha }{2} } * \sigma }{E} ] ^2](https://tex.z-dn.net/?f=n%20%3D%20%5B%5Cfrac%7BZ_%7B%5Cfrac%7B%5Calpha%20%7D%7B2%7D%20%7D%20%2A%20%20%5Csigma%20%7D%7BE%7D%20%5D%20%5E2)
=> ![n = [1.96 * 2 }{0.23} ] ^2](https://tex.z-dn.net/?f=n%20%3D%20%5B1.96%20%20%2A%20%202%20%7D%7B0.23%7D%20%5D%20%5E2)
=> 
Generally to obtain a conservatively small sample size the population standard deviation estimate becomes
=> 
=> 
=> 
Generally the conservatively small sample size is mathematically evaluated as
![n = [\frac{Z_{\frac{\alpha }{2} } * \sigma }{E} ] ^2](https://tex.z-dn.net/?f=n%20%3D%20%5B%5Cfrac%7BZ_%7B%5Cfrac%7B%5Calpha%20%7D%7B2%7D%20%7D%20%2A%20%20%5Csigma%20%7D%7BE%7D%20%5D%20%5E2)
=> ![n = [1.96 * 1.333 }{0.23} ] ^2](https://tex.z-dn.net/?f=n%20%3D%20%5B1.96%20%20%2A%20%201.333%20%7D%7B0.23%7D%20%5D%20%5E2)
=>
Answer:
242 ft^2
Step-by-step explanation:
15 x 14 + 4 x 8 = 242 ft^2
(break down the polygon into two rectangles)
1-(-8)
1+8 (add a line change the sign)
=9