Answer:
Interval [16.34 , 21.43]
Step-by-step explanation:
First step. <u>Calculate the mean</u>

Second step. <u>Calculate the standard deviation</u>



As the number of data is less than 30, we must use the t-table to find the interval of confidence.
We have 6 observations, our level of confidence DF is then 6-1=5 and we want our area A to be 80% (0.08).
We must then choose t = 1.476 (see attachment)
Now, we use the formula that gives us the end points of the required interval

where n is the number of observations.
The extremes of the interval are then, rounded to the nearest hundreth, 16.34 and 21.43
Answer:
A
Step-by-step explanation:
this is because we don't know how many trainers she goes to, so the cost will be 35p. and then include the registration fees she pays.
Answer:
We have sinθ = 12/13
The method here is to figure out the value of θ
Using a calculator sin^(-1)(12/13) =67.38°
67.38° is in quadrant 1 so we must substract 67.38° from 180° wich is π
- 180-67.38= 112.61° ⇒ θ= 112.61°
Now time to calculate cos2θ and cosθ using a calculator
- cosθ = -5/13
- cos2θ = -0.7
The values we got make sense since θ is in quadrant 2 and 2θ in quadrant 3
Answer:
The first one is howard and the second one is peter
Step-by-step explanation:
Howard is at a higher elevation because he is above the sea level.
Peter is further from sea level because he is 1.1 meters away, whereas Howard is only 0.8 meters away.
Answer:
-14
Step-by-step explanation:
Plug 3 in for x
-2 (3)² + 3 + 1
-2 (9) + 3 + 1
-18 + 3 + 1
-14