Question

A factory makes 450 cakes every day.
The cakes are orange or lemon cakes.
Each day Abir takes a sample of 15 cakes to check.

The proportion of the cakes in his sample that are orange is the same as the proportion of the cakes made that day that are orange.
On Monday Abir calculated that he needed exactly 9 orange cakes in his sample.
a) What is the total number of orange cakes that were made on Monday.

On Tuesday, the number of orange cakes Abir needs in his sample is 5 correct to the nearest whole number.
Abir takes at random a cake from the 450 cakes made on Tuesday.

b) What is the lower bound of the probability that the cake is an orange cake, giving your answer in decimals.

(Please give an explanation aswell)

Answer 1

Answer:

Answer:

A] 210

B] 0.18

explanation:

A] On Monday, 7/25 of the 750 are orange cakes.    7/25 x 750 = 210

B] If the proportion of orange cakes is 5/25 where 5 is correct to the nearest whole number, then the 4.5 would be the lowest number that would still be rounded up to 5. 4.5/25 = 0.18

i hope this helped you. all the best

Answer 2

Answer:

A: 270

B: 0.3

Step-by-step explanation:

A: On Monday, 9/15 of the 450, are orange cakes. 9/15 x 450=270

B: The proportion of orange cakes is 5/15, where 5 is correct to the nearest whole number. Since it is asking for the lower bound of the probability, you do 5 - 0.5 (because 0.5 is 1÷2 and this is being done since the nearest whole number refers to 1 and to find the lower bound of the probability you need to minus 0.5 from 5), which gives us 4.5/15=0.3

The answer is in decimal form because the question asks you to give your answer in a decimal.  

Hope this helps :)