Answer:
0.0403
Step-by-step explanation:
Given that 76% of americans prefer coke to pepsi.
Let x be the number of people who prefers coke to pepsi.
X is binomial as each trial is independent, and there are only two outcomes.
A sample of 27 was taken.
We have to find the probability that less than sixty percent of the sample prefers coke to pepsi
60% of 27 =
Required probability =
Hence prob=0.0403
Answer:
v=14, u=14
Step-by-step explanation:
The 45-45-90 theorem states that the hypotenuse is times the bases of the triangle. So, to find one of the bases, we need to divide . Thus, .
Step-by-step explanation:
Intersecting secant angles theorem: The angle between two secants is half the difference of the intersected arcs.
52 = ½ (x − 38)
x = 142
Arc angles add up to 360.
360 = 80 + 38 + z + x
z = 100
Tangent-chord theorem: The angle between a tangent and a chord is half the intercepted arc angle.
y = x/2
y = 71
Answer:
The unit rate of speed is 40 miles per hour.
Step-by-step explanation:
Since Sherrie travels 120 miles in 3 hours, to find the unit rate of speed the following calculation must be performed:
3 = 120
1 = X
(1 x 120) / 3 = X
120/3 = X
40 = X
Therefore, the unit rate of speed is 40 miles per hour.