Answer:
The weight corresponding to which weight will be larger than 14% of times equals 427.635 grams.
Step-by-step explanation:
We need to find the value of weight that corresponds to 14% of area under the normal distribution curve
It is given that
Using standard normal distribution tables we find value of Z corresponding to 14% of the area as -1.080
Thus using the standard equation
She earns ($9.70x40) for a 40 hour week=$388
She earned $489.85-$388 extra= $101.85
She gets paid $9.7x1.5 for every extra hour=$14.55
She worked $101.85/$14.55 hours extra=7hours
She worked 7+40 hours that week=47 hours
The answer is 350!! hope i helped u
G, which is 2 the line directly hits the center of (0,2)
Answer:
The system has "infinitely many solutions; consistent and dependent" ⇒ D
Step-by-step explanation:
A consistent system of equations has at least one solution.
- The consistent independent system has exactly 1 solution
- The consistent dependent system has infinitely many solutions
An inconsistent system has no solution.
In the system of equations ax + by = c and dx + ey = f, if
- a = d, b = e, and c = f, then the system is consistent dependent and has infinitely many solutions
- a = d, b = e, and c ≠ f, then the system is inconsistent and has no solution
- a ≠ d, and/or b ≠ e, and/or c ≠ f, then the system is consistent independent and has exactly one solution
In the given system of equations
∵ r = -5s + 7
∵ r + 5s - 7 = 0
→ Put the equations in the form of equations above
∵ r = -5s + 7
→ Add -5s to both sides
∴ r + 5s = -5s + 5s + 7
∴ r + 5s = 7 ⇒ (1)
∵ r + 5s - 7 = 0
→ Add 7 to both sides
∴ r + 5s - 7 + 7 = 0 + 7
∴ r + 5s = 7
∴ r + 5s = 7 ⇒ (2)
→ By subtracting equations (1) and (2)
∵ (r - r) + (5s - 5s) = (7 - 7)
∴ 0 + 0 = 0
∴ 0 = 0
→ By using rule 1 above
∵ r = r
∵ 5s = 5s
∵ 7 = 7
∴ The system of equation is consistent dependent and has infinitely
many solutions
∴ The system has "infinitely many solutions; consistent and dependent"
