Total number of songs in Julie's MP3 player = 860
Percentage of rap songs in Julie's MP3 player = 20%
Then
Number of rap songs in Julie's MP3 player = (20/100) * 860
= 860/5
= 172
Percentage of R&B songs in Julie's MP3 player = 15%
Then
Number of R&B songs in Julie's MP3 player = (15/100) * 860
= 1290/10
= 129
So
The number of other types of songs in Julie's MP3 player = 860 - (172 + 129)
= 860 - 301
= 559
So the number of other types of songs in Julie's MP3 player was 559.
The benchmark angles are angles that are used as references like- 30 degrees, 45 degrees, 60 degrees, etc.
The closest angles to given rotation angles are:
A- 40- closest to the multiple of 45 degrees.
B- 140- closest to the multiple of 45 degrees (135 degree).
C- 170- closest to the multiple of 30 degrees (closest to 180 degrees which is multiple of both 30 and 45 degrees).
D- 220 -closest to the multiple of 30 degrees (210 degree).
E- 250- closest to the multiple of 30 degrees (240 degree).
F- 310- closest to the multiple of 45 degrees (315 degree).
The best option is C. 0.0823mean = np = 48*1/4 = 12
SD = sqrt(npq) = sqrt(48 *1/4 *3/4) = 3
aplying continuity correction for using a continuous distribution for a discrete one,
"exactly 15" means 14.5 to 15.5
z1= (14.5-12)/3 = 0.833 , z2 = (15.5-12)/3 = 1.167
P(0.833 < z < 1.167) = 0.0808
Answer:
x=14
Step-by-step explanation:
45 = 3 (x + 1)
Distribute the 3 to both terms in the parentheses
45 = 3x +3
Subtract 3 from each side
45-3 = 3x+3-3
42 = 3x
Divide each side by 3
42/3 = 3x/3
14 =x
Answer: 102
Step-by-step explanation: