Lester baked 36 cookies with 4 scoops of flour. How many scoops of flour does Lester need in order to bake 45 cookies? Solve usi
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Answer: 2185
Step-by-step explanation:
Let p be the proportion of visitors are campers.
Given : The Tennessee Tourism Institute (TTI) plans to sample information center visitors entering the state to learn the fraction of visitors who plan to camp in the state.
The prior proportion of visitors are campers : p=0.35
Allowable error : E= 2%= 0.02
We know that the z-value for 95% confidence =
Then by Central Limit Theorem , the required sample size would be :
Simply , we get
[Rounded to the next whole number.]
Hence, the smallest sample size to estimate the population proportion of campers =2185
Answer:
Step-by-step explanation:
From similar triangles, see diagram in attachment
We solve for to obtain,
The formula for calculating the volume of a cone is
We substitute the value of to obtain,
This implies that,
We now differentiate both sides with respect to to get,
We were given that water is drained out of the tank at a rate of
This implies that .
Since we want to determine the rate at which the depth of the water is changing at the instance when the water in the tank is 8cm deep, it means .
We substitute this values to obtain,
