Answer:
x = 40
Step-by-step explanation:
Adding 23 to both sides gives us:
x - 23 + 23 = 17 + 23
x = 40
Answer:
Step-by-step explanation:
Move constant to right hand side and change it's sign
Add the numbers
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Answer:
t = 2.9272 > 1.708 at 25 degrees of freedom
null hypothesis is rejected
The council decides that it will increase the transportation budget if the amount of waiting time for drivers is not exceeds 18 minutes
Step-by-step explanation:
Step (i):-
A sample of 26 main roads results in a mean waiting time of 21.1 minutes with a sample standard deviation of 5.4 minutes.
Given sample size 'n' = 26
The mean of the sample 'x⁻ = 21.1 min
Standard deviation of the sample 'S' = 5.4 min
The Population mean 'μ' = 18min
Step(ii):-
Null hypothesis: H₀ : The council decides that it will increase the transportation budget if the amount of waiting time for drivers exceeds 18 minutes.
'μ' > 18min
Alternative hypothesis :H₁:
'μ' <18min
Level of significance : ∝=0.05
Degrees of freedom γ = n-1 = 26-1 =25
The test statistic
t = 2.9272
Step(iii):-
The tabulated value t = 1.708 at 25 degrees of freedom
t = 2.9272 > 1.708 at 25 degrees of freedom
Null hypothesis is rejected at 5% significance level of significance
Conclusion:-
The council decides that it will increase the transportation budget if the amount of waiting time for drivers is not exceeds 18 minutes
M(x)=-4(x+3)-2
t(x)=-8x^2(x^2-6+1
H(x)=3x(x-2)-4
Answer:
1.) 4/3
2.) 4/3
3.) 5
4.) 5
Step-by-step explanation:
I just took the test
Answer:
4/3
Step-by-step explanation:
i just did the assignment
Answer:
don't know
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Answer:
x = 12
Step-by-step explanation:
Consider three orthogonal triangles (see picture)
1. The smallest triangle
2. The medium triangle
3. The big triangle that holds both triangles.
All are orthogonal (or right triangles) so you can use Pythagoras Theorem:
"The area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides"
Use Pythagoras theorem on triangle 1.
Now user Pythagoras on triangle 2.
Now use Pythagoras on triangle 3 (the big triangle).
Now replace the values for and from the two equations derived from triangle 1 and 2:
The two get cancelled out, so:
TA DA!