-x^2-x+y-6 Should be right
y=x^2-x-6 = x^2-x+y-6
Deposit: = $600 on 1st April
Futher Depost = $200 on1st July
Interest rate = 2.60% per annum
Compounded = quarterly
Answer:
∠C = 80 ° ; ∠ T = 40°.
Step-by-step explanation:
Triangle CRS is isosceles because it has two sides of equal length. (CR and CS are radii).
An isosceles triangle has also two equal angles, which means that ∠CRS= ∠CSR.
Therefore, ∠C = 80 ° (180° – 50° - 50°) because the sum of angles in a triangle is 180 degrees.
∠C is the central angle of the arc RS.
∠ T is the inscribed angle of the arc RS.
An inscribed angle is half of a central angle that subtends the same arc on the circle, so the inscribed angle ∠ T is half of the central angle ∠C. Since ∠C = 80 °, we can easily determine the measure of ∠ T:
80° divided by 2 is 40°.
Answer:
61 commuters must be randomly selected to estimate the mean driving time of Chicago commuters.
Step-by-step explanation:
Given : We want 95% confidence that the sample mean is within 3 minutes of the population mean, and the population standard deviation is known to be 12 minutes.
To find : How many commuters must be randomly selected to estimate the mean driving time of Chicago commuters?
Solution :
At 95% confidence the z-value is z=1.96
The sample mean is within 3 minutes of the population mean i.e. margin of error is E=3 minutes
The population standard deviation is s=12 minutes
n is the number of sample
The formula of margin of error is given by,

Substitute the value in the formula,




Squaring both side,

Therefore, 61 commuters must be randomly selected to estimate the mean driving time of Chicago commuters.