Answer:
A.
Step-by-step explanation:
Surface area of the original cone
When, radius is quadrupled and slant height is reduced to one sixth
Plug the above values of r and
in equation (1), new surface area becomes:

Emilio will earn $334.
12*32=384 --> amount of money he earns from selling
384-50 --> subtract the amount the festival charges
=334 --> final profit
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Answer:
c. 0.83
d. 0.28
Step-by-step explanation:
See solution below
Answer:
3/171
Step-by-step explanation:
The problem can be simplified into finding probability that Anna and Becky select 12 or 24 or 36 which are less than 40 and multiples of 3 and 4.
Probability of Anna selecting 12 = 1/9
Probability of Becky selecting 12 = 1/19
Probability of Anna and Becky selecting 12 = 1/9 * 1/19 = 1/171
Probability of Anna and Becky selecting 12 or 24 or 36 = 3* 1/171 = 3/171
Answer:
Claim : The mean weight is greater than 16 ounces

x = 16.05
n = 50

Since n > 30 and population standard deviation is given
So, we will use z test

Substitute the values


Critical value at 0.05 significance level is 1.645
z statistic > critical value
So, we reject the null hypothesis
So, we can conclude that the mean weight is greater than 16 ounces .