Answer:
$11.25
Step-by-step explanation:
You give the farmer $60.00 and you subtract $48.75 = $11.25
Therefore the farmer gave you $1.00 more.
Answer:
Step-by-step explanation:
⅓x + 7 = -2
isolate the x term by subtracting 7 from both sides
⅓x = -9
Multiply both sides by 3
x = -27
Answer:
2. it's a rectangle so Each pair of co-interior angles are supplementary, because two right angles add to a straight angle, so the opposite sides of a rectangle are parallel. This means that a rectangle is a parallelogram, so: Its opposite sides are equal and parallel. Its diagonals bisect each other.
3. same size same shape
Step-by-step explanation:
Question-
What is the solution of the system of equations? y=-4x+10 y=-2x-6
Answer-
y = -4x + 10
y = -2x - 6
-4x + 10 = -2x - 6
-4x + 2x = -6 - 10
-2x = -16
x = -16/-2
x = 8
y = -4x + 10
y = -4(8) + 10
y = -32 + 10
y = -22
solution is (8,-22)
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Answer:
A)σ_M = 1.2634
B) CI = (36.564, 41.516)
C) σ_M = 0.1151
Step-by-step explanation:
A) Formula for standard error is;
σ_M = σ/√n
We are given;
Mean; x¯ = 39.04
Standard deviation; σ = 11.51
Sample size; n = 83
Thus;
Standard error; σ_M = 11.51/√83
σ_M = 1.2634
B) formula for confidence interval is;
CI = x¯ ± z(σ_M)
z is critical value
At 95% Confidence interval, z = 1.96
Thus;
CI = 39.04 ± 1.96(1.2634)
CI = (39.04 + 2.476) and (39.04 - 2.476)
CI = (36.564, 41.516)
C) sample size is now increased to 10000
Thus,standard error is calculated as;
σ_M = 11.51/√10000
σ_M = 0.1151