Answer:
1
General Formulas and Concepts:
<u>Algebra I</u>
- Solving systems of equations by graphing
Step-by-step explanation:
We will have 1 solution set when the lines cross once.
We will have no solutions when the lines are parallel.
We will have infinite solutions when the lines are the same.
According to the graph, we see that our lines only intersect once at 1 point. Therefore, there will be only 1 solution.
Paralell has same slope
slope of ax+by=c is -a/b
so a paralalell line to ax+by=c is ax+by=z where a=a and b=b and z is a constant
so
paralalel to 3x-2y=-6 is 3x-2y=?
find ?
given point (4,2)
sub
3(4)-2(2)=12-4=8
equation is 3x-2y=8
solving for slope itnercept or y
minus 3x both sides
-2y=-3x+8
divide by -2
y=3/2x-4
B is answer
Answer:
The test statistics is 
The critical value is 
The null hypothesis is rejected
Step-by-step explanation:
From the question we are told that
The sample size for men is 
The sample proportion of men that own a cat is 
The sample size for women is 
The sample proportion of women that own a cat is 
The level of significance is 
The null hypothesis is 
The alternative hypothesis is 
Generally the test statistic is mathematically represented as
=> 
=>
The critical value of 
from the normal distribution table is
The p-value is obtained from the z-table ,the value is
=> 
Given that the 
then we reject the null hypothesis
- 25.05 + (-12.5) + 12.85 =
-25.05 - 12.5 + 12.85 =
-37.55 + 12.85 =
- 24.7 <== the divers new depth
Answer:
10 feet.
Step-by-step explanation:
I am assuming this is a right triangle. We use Pythagoras theorem:
h^2 = 6^2 + 8^2
h^2 = 100
h = 10 feet.
