Answer:
8, 10, 3.3333
Step-by-step explanation:
look at the picture for an explanation,
use the same method for all 3
Answer:
80 degrees
Step-by-step explanation:
Vertical angles are congruent, meaning that if a vertical angle is 80 degrees, the other vertical angle is 80 degrees; they have the same angle measure.
m < 1 = 80 degrees
Answer:
(a) 2.5%
(b) 84%
Step-by-step explanation:
Applying the empirical rule,
68% arrive within 7:22 am +/- 4 minutes (7:18 am to 7:26 am)
95% arrive within 7:22 am +/- 8 minutes (7:14 am to 7:30 am)
99.7% arrive within 7:22 am +/- 12 minutes (7:10 am to 7:34 am)
(a) Those that arrive late arrive after 7:30 am. Half of all employees (50%) arrive after 7:22 am.
Since the arrival time is symmetric, half of those that arrive between 7:14 am and 7:30 am (95%) arrive between 7:22 am and 7:30 am.
This means 95% ÷ 2 = 47.5% arrive before 7:30 am.
The late arrivals = 50% - 47.5% = 2.5%
(b) Those who come early to make the adjustment come 4 minutes before 7:30 am = 7:26 am.
50% come before 7:22 am.
Since the arrival time is symmetric, half of those that arrive between 7:18 am and 7:26 am (68%) arrive between 7:22 am and 7:26 am. This means 68% ÷ 2 = 34% arrive between 7:22 am and 7:26 am.
The percentage that arrive before 7:26 am = 50% + 34% = 84%.
Answer:
The height is 0 when it "drops".
3/2x + 9 = 0
3/2x = -9
3 = -9(2x)
3 = -18x
3/-18x
Change signs, time cant be negative.
x= 6
Another interpretation; Slope is negative it is falling. This interpretation is more accurate.
-3/2x + 9 = 0
-3/2x = -9
-3 = -9(2x)
-3 = -18x
6 = x
AFTER 6 SECONDS
Total discount for 10 group tickets = 10 · 0.05t
Amount of discount per ticket = 0.05t
Number of tickets = 10
Cost of buying 10 single tickets = 10t
Solution:
Cost for single ticket = t dollars
Discount percent per ticket = 5%
Number of tickets bought = 10
Total discount for 10 group tickets = Number of tickets × Discount amount
= 10 × 0.05t
Total discount for 10 group tickets = 10 · 0.05t
Amount of discount per ticket = 5%t
=
t
= 0.05t
Amount of discount per ticket = 0.05t
Number of tickets = 10
Cost of buying 10 single tickets = 10t