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.
2 x length + 2 x width = perimeter.
2(2s-5) + 2(4s-13) = 108
Simplify:
4s-10 + 8s-26 = 108
Combine like terms:
12s - 36 = 108
Add 36 to both sides:
12s = 144
Divide both sides by 12:
s = 144/12
s = 12
Now replace s with 12 in each equation:
2(12) - 5 = 24-5 = 19
4(12) - 13 = 48-13 = 35
The answer is d. 35,35, 19,19
Answer:
62 degrees.
Step-by-step explanation:
The two angles should add up to 180. Thus, 118 plus 62 equals 180.
a. How many floors are between the seventh and fifteenth floors?
<span>zebra fish a then tetras fish (11 – a)
2.2a + 1.85(11 – a) = 22.80
2.2a + 20.35 – 1.85a = 22.80
0.35a = 2.45
a = 7 zebra and 11 – 7 = 4 neon fish
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