50%
The very left point on the box of a box plot is the first quartile, the very right. The very left and right points are the minimum and maximum and the middle line is the second quartile. Since quarters each equal 25%, two quartiles, the data between the first and third quartile, would equal 50%. This is also evident by looking at the graph itself in this problem.
Answer:
Not proportional
Step-by-step explanation:
3/6=1/3
14/28=1/2
16/32=1/3
17/34
We want to see how much the population of goats grows each year. We will see that the correct option is c: 17%.
<h3>
Exponential growth of populations</h3>
We know that:
- The initial number of goats is 1,500.
- After 11 years, the population is 8,400.
The population can be modeled with an exponential equation as:
P(t) = A*(1 + r)^t
Where:
- A is the initial population.
- r is what we want to find, it depends on how much the population increases.
- t is the time in years.
So we have:
P(t) = 1500*(1 + r)^t
And we know that after 11 years the population is 8,400, so we have:
P(11) = 1500*(1 + r)^11 = 8400
Now we can solve this for r:
(1 + r)^11 = 8400/1500 = 5.6
(1 + r) = (5.6)^(1/11) = 1.17
r = 1.17 - 1 = 0.17
r = 0.17
To get it in percentage form, you just need to multiply it by 100%
0.17*100% = 17%
This means that the population increases a 17% each year, so the correct option is c.
If you want to learn more about exponential growth, you can read:
brainly.com/question/13223520
Answer:
n = 400
Step-by-step explanation:
The formula for the error in our estimate is given by:
Standard Error : √ ( p(1-p)/ n)
Error = SE = Zα/2 √ ( p(1-p)/ n) where
Zα/2= critical value for 95% confidence level = 1.96
and we know our error is 3.5 %
But we do not the sample proportion p. Then what we can do is give an estimate of p in the absence of any other information.
In this case we will use p= 0.5 which is the value that maximizes the expression for the standard error :
if p = 0.8 then SE= 0.040
p = 0.3 then SE =0.036
p = 0.1 then SE = 0.030
p = 0.5 then SE = 0.050
Substituting
3.5/100 = 1.96 x √ (( 0.5 x 0.5 ) /n )
3.5/ (100 x 1.96 x 0.5 ) = 1/ √n
0.0357 = 1 /√n
n = 20²
n = 400
