Answer:
x = 16
Step-by-step explanation:
The angle vertically opposite (4x - 17) is also (4x - 17) , then
4x - 17 and 8x + 5 are same- side interior angles and sum to 180° , that is
4x - 17 + 8x + 5 = 180
12x - 12 = 180 ( add 12 to both sides )
12x = 192 ( divide both sides by 12 )
x = 16
Answer:
1/4
Step-by-step explanation:
rise over run
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.
After 12 months, you will have 12,288 bunnies.
Showing my work:
1st month, 6 bunnies
2nd month, 12 bunnies
3rd month, 24 bunnies
4th month, 48 bunnies
5th month, 96 bunnies
6th month, 192 bunnies
7th month, 384 bunnies
8th month, 768 bunnies
9th month, 1,536 bunnies
10th month, 3,072 bunnies
11th month, 6,144 bunnies
12 month, 12,288 bunnies
Answer:
Step-by-step explanation:
see attached to identify which is the tenth's place
How you round the tenth's place depends on the digit in the hundredths place.
If the hundredths digit is less than 5, then you keep the tenths place the same (i.e round down)
If the hundredths digit is greater or equal than 5, then you increase the tenths place by 1 (i.e round up)
