Writing the equation that governs this situation:
-3C - (2.5C/hr)x = -18C
Simplifying, -3 - 2.5x = -18, or 3 + 2.5x = 18
Combining like terms: 2.5x = 18-3 = 15
Then x = 15/2.5 = 6. The temp. will reach -18C after 6 hours.
Answer:
17 days
Step-by-step explanation:
Number of days in which 3 men can finish a house repair job = 10 days
Number of days in which 1 man can finish a house repair job = 
days
Therefore,
Number of days in which 5 men can finish a house repair job = Number of days in which 1 man can finish a house repair job × 5
≈ 17 days
Answer:
Step-by-step explanation:
Divide both sides by 50 and you'll get x=17/50
If x is the exponent than we can take the natural log of both sides.
x(ln)50=ln(17)
Then divide ln50 on both sides
x=ln17/ln50= 0.72423228087
Complete question :
The Harris Poll conducted a survey in which they asked, "How many tattoos do you currently have on your body?" Of the 1205 males surveyed, 181 responded that they had at least one tattoo. Of the 1097 females surveyed, 143 responded that they had at least one tattoo. Construct a 95% confidence interval to judge whether the proportion of males that have at least one tattoo differs significantly from the proportion of females that have at least one tattoo. Interpret the interval.
Answer:
(−0.0085 ; 0.0481)
Step-by-step explanation:
Given that :
n1 = 1205 ; x1 = 181 ; n2 = 1097 ; x2 = 143 ; α = 95%
Zα/2 = 1.96 ( Z table)
Confidence interval : (p1 - p2) ± E
E =Zα/2 * √[(p1q1/n1) + (p2q2/n2)]
p1 = x1 /n1 =181/1205 = 0.1502
q1 = 1 - p1 = 1 -0.1502 = 0.8498
p2 = x2/n2 = 143/1097 = 0.1304
q2 = 1 - p2 = 1 -0.1304 = 0.8696
E = 1.96 * √(0.0001059 + 0.0001033)
E = 0.0283
p1 - p2 = 0.1502 - 0.1304 = 0.0198
Lower boundary = 0.0198 - 0.0283 = −0.0085
Upper boundary = 0.0198 + 0.0283 = 0.0481
(−0.0085 ; 0.0481)
