Y = x + 5....so we sub in x + 5 for y in the other equation
4x + y = 20
4x + x + 5 = 20
5x + 5 = 20
5x = 20 - 5
5x = 15
x = 15/5
x = 3
y = x + 5
y = 3 + 5
y = 8
solution is (3,8)
Answer:
Circle circumference = radius * 2 * PI
Arc Length = radius * 2 * PI * Central Angle / 360 degrees
Arc Length = 7 * 2 * PI * (1/4)
= 3.5 * PI
= 10.9955742876
Arc Length = 10.996 (rounded)
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:
Rational
Step-by-step explanation:
This can be reduced to a ratio of 1/2. Numbers that can be expressed as ratios are rational.
