Answer:
z= 2.38
P = 0.008656
Step-by-step explanation:
Here n= 500 and p~= 464/500= 0.928 and q`= 1- 0.928 = 0.072
We formulate our null and alternate hypothesis as
H0 = 0.9 ; H0 > 0.9
The degree of confidence = 90%
z₀.₀₅ = 1.645 for α= 0.05
We use the test statistic
z= x- np/√npq
z= 466-500 *0.9/ √500 * 0.9(1-0.9)
z= 466- 450/ √45
z= 16/6.7082
z= 2.38
As the calculated value of z= 2.38 is greater than α =1.645 so we reject H0.
If H0 is true the P value is calculated as
P = 1- Ф( 2.38)
P = 1-0.991344=0.008656
Answer:
56.714°
Step-by-step explanation:
Since we do not have a full angle of this proposed triangle, we must do this by splitting it into two right triangles instead of using the law of sines.
250m*sin(40°) = 250m*0.64278760968 = 160.696902422m
452.4m-160.696902422m=291.703097578m
Use pythagorean theorem:
62500-25823.494448025787=36676.505552
= 191.511110779m
arctan(291.703097578m/191.511110779m)≈56.714°
9514 1404 393
Answer:
no, it is good for 2 weeks (almost 3)
Step-by-step explanation:
The volume of the pool is ...
V = LWH
V = (20 m)(8 m)(1.8 m) = 288 m³
Then the amount of chlorine powder needed for 1 week is ...
(300 g/(50 m³)) × (288 m³) = 1728 g
A box of 5000 g holds enough chlorine for ...
(5000 g)/(1728 g/treatment) = 2.89 treatments
A box of chlorine powder is enough for 2 weeks, not 4.
I would choose D for that question
1) answer is D
pentagon with each side 5 inches
5x5=25
2)A perimeter is 27 and B perimeter is 24 so perimeter A is greater than B
