Answer:
17/15
Step-by-step explanation:
Answer:
Step-by-step explanation:
Both 115 and 145 mph are above the mean. Draw a normal curve and mark these speeds. 115 mph is 1 standard deviation above the mean; 130 would be 2 standard deviations above the mean; and 145 would be 3 s. d. above it.
We need to find the area under the standard normal curve between 115 and 145. This is equivalent to the area under the standard normal curve between z = 1 and z = 3.
I used my TI-83 Plus calculator's DISTR function "normalcdf(" to calculate this area: normalcdf(1, 3) = 0.1573.
The area between z = 1 and z = 3 is 0.1573. In other words, the percentage of serves that were between 115 and 145 mph was 15.73%.
Answer:
An 18 sided shape.
Since the sum of the exterior angles of a polygon is 360° and an angle of the regular polygon is 20°, then 360° / 20° is the number of sides. We find the answer = 18, an octadecagon
Answer:
8.4 square units
Step-by-step explanation:
See attachment for the figure.
Trigonometric area formula is Area =
Where a and b are two sides of the triangle and C is the angle between these two sides.
Given:
side a = 6 units, c = 2√2 units and ∠B = 80°
Then area of the triangle :
Area = 
= 
= 
= 6√2×sin80°
= 6×(1.414)×0.9848
= 8.36 square units
≈ 8.4 square units
The account balance after 10 years will be 5,892.2