Center (0,-3)
radius = 3
answer is D.
Answer:
It takes about 1.2 seconds for the wheel of Alison's bicycle to make 1 revolution.
Step-by-step explanation:
#a
m<5=40°
#b
m<2=140
#c
<5 and <2 are linear pair(looked properly in diagram) Hence they are supplementary.
#d
<5 and 2 are same side interior angles (Clearly shown on diagram .
- We can call them co responding interior angles and their sum will be 180 if lines are parallel
#e
a||b
Let's verify
Let the angle below <1 be <3
Now
<2+<3=180
<5+<4=180

Hence verified
4+5x=1
subtract 4 from each side
5x=-3
divide both sides by 5
x = -3/5
Given:
Sample size, n = 40
Sample mean, xb = $6.88
Population std. deviation, σ = $1.92 (known)
Confidence interval = 90%
Assume normal distribution for the population.
The confidence interval is
(xb + 1.645*(σ/√n), xb - 1.645*(σ/√n)
= (6.88 + (1.645*1.92)/√40, 6.88 - (1.645*1.92)/√40)
= (7.38, 6.38)
Answer: The 90% confidence interval is (7.38, 6.38)