Answer:
17 cm
Step-by-step explanation:
1. Depth in fresh water
p(water) = hρg
d(max) = h = p/(ρg)
Convert atmospheres to pascals
0.056 atm × 101 325 Pa/1 atm = 5670 Pa
h = 5670 Pa/(1000 kg·m⁻³ × 9.806 m·s⁻²) × (1 kg·m⁻¹s⁻²/1 N) = 0.579 m
2. Depth in Dead Sea
d(max) = 5670/(1400 × 9.806) = 0.413 m
3. Difference
Difference = 0.579 – 0.413 = 0.17 m = 17 cm
The difference in d(max) is 17 cm.
Answer:
what is it
Step-by-step explanation:
Answer: 34.965%
Step-by-step explanation:
Number of ways of selecting 8 songs from 14 songs = = 14! / [ 8! × (14-8)! ]
= 14! / (8! × 6!)
= 3003
If you listended to exactly four country songs, then you should listen to four pop songs because you listened to 8 songs
Number of ways of selecting 4 country songs from total 8 country songs
= 8! / [ 4! × (8-4)! ]
= 8! / (4! × 4!)
= 70
Number of ways of selecting 4 pop songs from total 6 pop songs
= 6! / [ 4! × (6-4)! ]
= 6! / (4! × 2!)
= 15
Number of ways of playing 4 country songs and 4 pop songs in total 8 songs = 70 × 15
= 1050
So Probability that you listened to exactly four country songs =1050/3003
= 0.34965
= 34.965%
Answer:
Any length between 10 cm and 34 cm
Step-by-step explanation:
12 cm + 22 cm = 34 cm
22 cm - 12 cm = 10 cm
The possible measures of the third side are any length between 10 cm and 34 cm.
Answer:
0.85083 ; 0.83147 ; 0.6823 ; 0.015386
Step-by-step explanation:
Given that:
σ = 25
μ = 86
(a) x is more than 60
P(x > 60)
obtain standardized score (Zscore)
Zscore = (x - μ) / σ
Z = (60 - 86) /25
Z = - 1.04
P(Z > - 1.04) = 0.85083 (Z probability calculator)
(b) x is less than 110
P(x < 110)
obtain standardized score (Zscore)
Zscore = (x - μ) / σ
Z = (110 - 86) /25
Z = 0.96
P(Z < 0.96) = 0.83147 (Z probability calculator)
(c) x is between 60 and 110
P(x < 110) - P(x < 60)
P(Z < 0.96) - P(Z < - 1.04)
0.83147 - 0.14917
= 0.6823
(d) x is greater than 140
P(x > 140)
obtain standardized score (Zscore)
Zscore = (x - μ) / σ
Z = (140 - 86) /25
Z = 2.16
P(Z > 2.16) = 0.015386 (Z probability calculator)