Answer:
z= 3.63
z for significance level = 0.05 is ± 1.645
Step-by-step explanation:
Here p = 42% = 0.42
n= 500
We formulate our null and alternative hypotheses as
H0: p= 0.42 against Ha : p> 0.42 One tailed test
From this we can find q which is equal to 1-p= 1-0.42 = 0.58
Taking p`= 0.5
Now using the z test
z= p`- p/ √p(1-p)/n
Putting the values
z= 0.5- 0.42/ √0.42*0.58/500
z= 0.5- 0.42/ 0.0220
z= 3.63
For one tailed test the value of z for significance level = 0.05 is ± 1.645
Since the calculated value does not fall in the critical region we reject our null hypothesis and accept the alternative hypothesis that more than 42% people owned cats.
To find the gradient you do change in y/change in x so...
-12 - 0
————- = -12/4 = -3
0 - - 4
Hope this helps! Any questions let me know :)
Answer:
14 ft
Step-by-step explanation:
a² + b² = c²
a=5
b= unknown
c= hypotnuse (13)
5² =25
13²=169
subtract 25 from 169 to get 144. Then take the square root of 144.
You should get 12. Dont forget to add the extra length
14 is the answer
Answer:
B.- 
Step-by-step explanation:
The common difference is the difference between the numbers in your arithmetic sequence. In this case, we see that the numbers are getting smaller, so we can start by setting up this equation:
Because these fractions don't have a common denominator, you make them equal by changing the fractions to have a common denominator. The LCM is 6, so we multiply the first fraction by 2/2:
3/6 can be simplified to be 1/2, and we know we're subtracting, so the answer is b.
