Answer:
PB = 1.8
Step-by-step explanation:
PQ = 8 cm, BC = 10 cm and AB = 9 cm
∆ABC is similar to ∆APQ.
Therefore:
Plug in the values
Cross multiply
AP × 10 = 8 × 9
AP × 10 = 72
Divide both sides by 10
AP = 7.2
PB = AB - AP
PB = 9 - 7.2
PB = 1.8
We have been given that a car travels a steady speed and takes five hours to travel 310 miles. We are asked to find out average speed of the car.
To find average speed of car we will divide total distance traveled by time taken in completing the distance.
Upon dividing 310 by 5 we will get,
Therefore, average speed of car will 62 miles per hour.
Supplementary means it adds up to 180 degrees.
So if one side is 31 degrees, you would need to subtract that from 180 to find the other side.
-----------------------
180 - 31 = 149
-----------------------
The other angle would be 149 degrees.
Should be 38.89.
Since the number in between 88 and 90 is 99, it will be, or should be, 38.89.
Answer:
a. p`± z₀.₀₂₅
b.0.6 ± 1.96
c. { -1.96 ≤ p`± z₀.₀₂₅ ≥ 1.96} = 0.95
Step-by-step explanation:
Here the total number of trials is n= 1000
The number of successes is p` = 600/1000 = 0.6. The q` is 1 - p`= 1- 0.6 = 0.4
The degree of confidence is 95 % therefore z₀.₀₂₅ = 1.96 ( α/2 = 0.025)
a. The formula used will be
p`± z₀.₀₂₅ ( z with the base alpha by 2 (α/2 = 0.025))
b. Putting the values
0.6 ± 1.96
c. Confidence Interval in Interval Notation.
{ -1.96 ≤ p`± z₀.₀₂₅ ≥ 1.96} = 0.95
{ -z( base alpha by 2) ≤ p`± z₀.₀₂₅ ≥ z( base alpha by 2) } = 1- α