To solve this problem you must apply the proccedure shown below:
1. You have that the <span>parabola is 12 meters high at the vertex and at a height of 10 meters, the width is 8 meter.
2. Therefore, you have:
x^2=-4a(y^2-k)
4</span>^2=-4a(10-12)
16=-40a+48
16=8a
a=16/8
a=2
y=0
x^2=-8(0-12)
x^2=96
x=√96
x=9.79x2
x=19.58
3. Therefore, as you can see, the answer is: 19.58 meters.<span>
</span>
Answer:
6 times
Step-by-step explanation:
Let the number of times you visit the pool = x
At a local swim club you can purchase an annual membership for 24 dollars which will allow you 1 dollar admission to the pool all summer.
= $24 + $1× x
= 24 + x
If you do not purchase the membership the pool admission is 5 dollars.
= 5 × x
= 5x
Hence:
24 + x = 5x
Collect like terms
24 = 5x - x
4x = 24
x = 24/4
x = 6 times
The number of times you must visit the pool with a membership that would equal the cost of paying full price is 6 times.
Answer:
The expected participation rate is 0.637.
The standard error is 0.04397
Step-by-step explanation:
For each working age people asked, there are only two possible outcomes. Either they are in the labor force, or they are not. This means that we can solve this problem using binomial distribution probability concepts.
Binomial probability:
Expected value for the participation rate: The expected value is the probability of a success. In this problem, a success is a working age people being in the labor force. 63.7% of them are. So . This means that the expected participation rate is 0.637.
Standard error for the participation rate:
The standard error is given by the following formula:
.
In this problem, 120 people are asked, so
.
So the standard error is 0.04397
Answer:
The answer is below.
Step-by-step explanation: