Answer:
14.90 to 16.70 tons
Step-by-step explanation:
We are given;
Sample size; n = 49
Mean; x¯ = 15.8
Sample standard deviation; s = 3.85
At 90% Confidence interval, z = 1.645
Formula for confidence interval is;
CI = x¯ ± z(s/√n)
Thus;
CI = 15.8 ± 1.645(3.85/√49)
CI = 15.8 ± 0.90
CI = 14.90 to 16.70 tons
m = -33
Step-by-step explanation:
The triangles are said to be similar, so the measures of sides in the larger triangle are proportional to the measures of sides in the smaller triangle. The measures of the two long sides have the ratio 182:65, so we expect the ratio of the shortest sides to be the same:
... ? : 45 = 182 : 65 . . . or . . . ?/45 = 182/65
Multiplying the equation by 45 gives us
... ? = 45·(182/65) = 126
The appropriate choice is ...
... C. 126
Answer:
(-4, 4)
Step-by-step explanation:
The solution of f(x) - g(x) = 0 is the same as that of f(x) = g(x).
If f(x) = g(x), that implies that the two graphs cross one another.
The point of intersection is (-4, 4). This is the solution.
Answer:
Step-by-step explanation:
Find the slope = -2/1
Find the y-intercept = 5
Go to graph
put a dot at (0,5)
since it's a negative slope you will go up 2 and left 1
draw your line
_________________________________________________
Find the slope = 3/1
Find the y-intercept = 0
go to graph
Put a dot at (0,0)
Since it is a positive slope you will go down 3 and left 1.
To find the slope and y-intercept use this formula=
y=mx+b
m=slope
b=y-intercept
I'm sorry I don't know how to do a check equation for these.
