Answer:
10 miles per hour
Step-by-step explanation:
1/12 miles
------------------
1/2 minute
1/12 ÷1/2
Copy dot flip
1/12 * 2/1
1/6 miles per minute
We need to convert minutes to hours
1 hours = 60 minutes
1/6 miles / minutes * 60 minutes/ hour
= 60/6 miles per hour
10 miles / hour
Answer:the cycle repeats every 2pi radians
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
28/7=4
6/3=2
4+2=6
6*1/2=3
Paraenthies
Exponets
Mulitplication
Divide
Add
Subtract
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
Taking the 3 solutions as 3 different terms, we can create an equation as follows:
Solution 1 : 10mL with 20% acid
Solution 2 : 30mL with x% acid
Solution 3 : 40mL with 32% acid
Since solution 1 + solution 2 = solution 3, let us substitute the given values we have:
10(0.2) + 30(x) = 40(0.32)
2 + 30x = 12.8
To solve for the unknown concentration x, we subtract 2 from both sides:
2 + 30x - 2 = 12.8 - 2
30x = 10.8
Dividing both sides by 30:
30x/30 = 10.8/30
x = 0.36
Therefore the unknown solution is 36% acid.