To solve this problem you must apply the proccedure shown below:
1. You have that the hyperbola <span>has a vertex at (0,36) and a focus at (0,39).
2. Therefore, the equation of the directrices is:
a=36
a^2=1296
c=39
y=a^2/c
3. When you susbtitute the values of a^2 and c into </span>y=a^2/c, you obtain:
<span>
</span>y=a^2/c
<span> y=1296/13
4. When you simplify:
y=432/13
Therefore, the answer is: </span><span>y = ±432/13</span>
Answer:
yes
Step-by-step explanation:
lets use a significance level of = 0.1
<u> Determine if the sequence indicates randomness </u>
First step :
H0 : pattern is random
H1 : pattern not random
n1 ( number of true answers ) = 10
n2 ( number of false answers ) = 10
also number of runs for T = 5
number of runs for F = 5
Total number of runs = 5+ 5 = 10
Given that critical value at 0.05 = 23
we will reject the null hypothesis ( i.e the sequence departs from randomness )
The better statistics which can be used to compare the given distributions are mean and standard deviation.
<h3>What is a z-core?</h3>
A z-core is also referred to as a standard score and it can be defined as a statistical measure of the distance between a data point (raw score) and the mean, especially when standard deviation units are used.
In Mathematics, z-scores can either be negative or positive and it is generally calculated by using this formula:
<u>Where:</u>
- x is the observed data or sample mean.
- is the standard deviation.
In conclusion, the better statistics which can be used to compare the given distributions are mean and standard deviation.
Read more on standard deviation here: brainly.com/question/4302527
The radius is half of a circles diameter. Therefore 27/2 is 13.5 cm and 13.5 cm is the radius.
Answer:
The two numbers are 31 and 11
Step-by-step explanation:
To double-check the answer. 31 + 11 = 42, and 31-11 = 20