Answer:
x = 55
Step-by-step explanation:
x+(x+1)+(x+2)=168
3x+3=168
3x=165
x=55
Answer:
31 days
Step-by-step explanation:
125 kg/1 day = 3875 kg/x days
x(125) = 3875
x = 3875/125
x = 31 days
Given Information:
Population size = n = 300
standard deviation = σ = 15
confidence level = 99%
Required Information:
Margin of error = ?
Step-by-step explanation:
The margin of error is a measure of the effectiveness of your survey.
Margin of error = z*(σ/√n)
z-score corresponding to 99% confidence level = 2.58
Margin of error = ±2.58*(15/√300)
Margin of error = ±2.58*(0.866)
Margin of error = ±2.23
Hence the correct option is C ±2.23
Tanh x = 12/13
1) Calculate cosh x:
cosh² x = 1/(1-tanh² x) →→ 1/[1-(12/13)²] = 1/(1-144/169) = 1/[(169-144)169]
cosh²x = 169/25 and cosh x = + or - 13/5
2) Calculate sinh x
sinh x/cosh x = tanh x →→sinh x = (cosh x)(tanh x)
sinh x = + or - (13/5)(12/13) →→sinh x= + or - 12/5
From here onward you can calculate easily coth x, sech x, csch x
Answer:
x > or equal to 9.7
Step-by-step explanation:
Don't let the inequality intimidate you. Treat the > or equal sign like it is an equal sign.
Any thing you do on the right you must do on the left.
move 3 to other side
combine like terms
15x > or equal to 145.5
Divide both sides by 15
x > or equal to 9.7
