Answer:
The percentage of the students scored higher than 89% is 15.87%
Step-by-step explanation:
we are given
The average test scores for a particular test in algebra was 84
so, mean is 84
a standard deviation of 5
so,
we have
x=89
now, we can use z-score formula
now, we can plug values
now, we can use calculator
and we get
So,
The percentage of the students scored higher than 89% is 15.87%
Initially, 1/4 of the tank was filled.
After adding 12 gallons, it was 3/4 full.
Increase in fuel filled portion =
So 2/4 of the tank = 12 gallons
1/4 of tank = 12 ÷ 2 = 6 gallons
4/4 of tank = 6×4 = 24 gallons
____________________
Portion remaining to be filled =
Fuel needed = 1/4 × 24 = 6 gallons
So you need 6 more gallons to fill the tank
Answer:
-0.55n - 0.05
Step-by-step explanation:
You can start by distributing:
(0.25n - 0.3) - (0.8n - 0.25)
0.25n - 0.3 - 0.8n + 0.25
Then, you can combine like terms(0.25n & -0.8n; -0.3 & 0.25)
-0.55n - 0.05
slope=y2-y1/x2-x1
5-2/3-2
denominator will show 3-2
Answer:
Apply cosine rule:
c²=b²+a²-2ba cosC
C= pi/3 = 180/3 = 60 degrees
cosine 60 deg = 0.5
c²=2²+3²-[2×2×3×0.5]
c²=7
c=√7
c=2.645 ;length of third side of angle
Step-by-step explanation:
