Answer:
3+(k+1)1.5= 3
Step-by-step explanation: you do 1.5 * k and 1 and get 1.5k + 1.5
then you go 3 +1.5k+1.5=?
1.5k+4.5=?
-1.5k -1.5k
4.5=-1.5
_ . _
-1.5 . -1.5
k=3
Answer:
θ=1.2 rad=68.7549°
Step-by-step explanation:
Given
- Circle of radius 5
- Arc of length 6 subtends angle of θ
⇒
θ
Therefore θ=1.2 rad
(π rad= 180°)
Therefore 1.2 rad= 68.7549°
Answer:
p-value of the statistics = 0.0096
Step-by-step explanation:
Given - The mayor of a town has proposed a plan for the annexation of an adjoining bridge. A political study took a sample of 1500 voters in the town and found that 47% of the residents favored annexation. Using the data, a political strategist wants to test the claim that the percentage of residents who favor annexation is above 44%.
To find - Determine the P-value of the test statistic.
Proof -
Given that,
H0 : p = 0.44
Ha : p > 0.44
Now,
Test Statistics is
z = (p bar - p)/ sqrt(p(1-p)/n)
= (0.47 - 0.44) / sqrt(0.44(1-0.44)/1500)
= 2.34
⇒z = 2.34
So,
p-value = P(Z > z)
= P(Z > 2.34)
= 0.0096
⇒p-value = 0.0096
We find the length of the arc followed by the needle. For this, we first need to convert the subtended angle to radians:
96/∅ = 180/π
∅ = 1.68 rad
S = r∅
S = 24 x 1.68
Distance covered by needle = 40.32 cm
Answer:
By substituting the value of the variable and simplifying it with the equation you get 158.
