Answer:
y= 10x-38
Step-by-step explanation:
Equation of a line is usually written in the form of y=mx+c, where m is its gradient and c is its y-intercept.
Given that m=10,
y= 10x +c
Now substitute the coordinates into the equation.
When y=12, x=5,
12= 10(5) +c
12= 50 +c
c= 12 -50
c= -38
Thus the equation of the line is y= 10x -38
Answer:
check: 50+160+130+20 = 360
50:160 = 5 : 16
Step-by-step explanation:et the smaller of the unknown angles be 5x and the larger of the two be 16x
so 130+20+5x+16x = 360
21x = 210
x = 10
so the two missing angles are 50° and 160°
check: 50+160+130+20 = 360
50:160 = 5 : 16
Answer:
If the population grows by 4% each year then
the population in any given year is 104% of
the previous year or 1.04 times as much
P(t) = P0(1.04)t
P(t) is population at time t years
P0 = initial population = 11,000
t = number of years = 15
P(15) = 11,000(1.04)15
P(15) = 19,810 people
Step-by-step explanation:
Answer:
0.98732
Step-by-step explanation:
Given that :
Mean = 10 minutes
Variance = 2 minutes
For less than equal 40 jobs
Mean (m) = 40 * 10 = 400 minutes
Variance = 2 * 40 = 80 minutes
Standard deviation (s) = √variance = √80
Converting hours to minutes
X = 60 * 7 = 420 minutes
P(X≤ 420) :
Z = (x - m) / s
P(X≤ 420) :
Z = (420 - 400) / √80
Z = 20 / √80 = 20 / 8.9442 = 2.236
P(Z ≤ 2.236) = 0.98732
Answer:
Check photo.
Step-by-step explanation: