The answer and working are shown in the photo below
Answer:
Total laps = 10d
Step-by-step explanation:
Let c = Carl's laps
d = Daria's laps
e = Erin's laps
c = 3d
c = e/2
c + d + e = totals laps
We can insert 3d in place of c in the third equation
3d + d + e = total laps
Also, e/2 equals 3d
e/2 = 3d
Multiply both sides by 2
(e/2 = 3d)2
e = 6d
Insert the new e
3d + d + 6d = 10d = totals laps
Answer:
A) C(d,m) = 40 + 55d + 0.13m
B) $448
Step-by-step explanation:
Let 'd' be the number of days and 'm' the number of miles driven.
A) The cost function that describes a fixed amount of $40, added to a variable amount of $55 per day (55d) and a variable amount of 13 cents per mile (0.13m) is:
B) If d = 5 and m =600, the total cost is:
The cost is $448.
Answer:
We reject H₀
we accept Hₐ seeds in the packet would germinate smaller than 93%
Step-by-step explanation:
Test of proportions
One tail-test (left side)
93 % = 0.93
p₀ = 0,93
1.- Hypothesis
<h3>
H₀ ⇒ null hypothesis p₀ = 0.93</h3><h3>
Hₐ ⇒ Alternative hypothesis p = 0.875</h3><h3>
2.-Confidence interval 95 %</h3><h3>
α = 0,05 </h3><h3>
and </h3><h3>
z(c) = - 1.64</h3><h3>
3.- Compute z(s)</h3><h3>
z(s) = (p - p₀)/√(p₀*q₀)/n z(s) = (0.875-0.93)/√0.93*0.07)200</h3><h3>
z(s) = - 0,055/ √0.0003255</h3><h3>
z(s) = - 0.055/ 0.018</h3><h3>
z(s) = - 3,06</h3><h3>
4.-Compere z(c) and z(s)</h3><h3>
z(s) < z(c) -3.06 < -1.64</h3><h3>
z(s) is in rejection region, we reject H₀</h3>
