Answer:
49
Step-by-step explanation:
To complete the square we use the formula:

So we can plug in 14 for b to find c.

Now this equation can be factored into:

Answer:
c
Step-by-step explanation:
Answer:
x =106.5
y = 73.5
Step-by-step explanation:
Angle x is 1/2 arc SPQ
x = 1/2(98+115)
x = 1/2(213)
x =106.5
We know that x+y = 180 since this is an inscribed quadrilateral in a circle
x+y=180
106.5 +y =180
Subtract 106.5 from each side
106.5-106.5 +y =180-106.5
y = 73.5
We have
Mean, μ = 25 minutes
Standard Deviation, σ = 6.1
X = 30 minutes
The probability we are looking for is shown in the first diagram; it's the area on the right of X=30
We need to standardized the value X=30 using the formula


rounded to two dp
The z-table is shown on the second diagram only gives the probability when P(Z<z), so to work out the probability when P(Z>z), we do 1-P(Z<z)
P(Z>0.82) = 1 - P(Z<z) = 1 - 0.7939 = 0.2061