Answer:
a = - 4, b = 5
Step-by-step explanation:
Expand the left side, then compare the coefficients of like terms.
- 3(2x² + ax + b)
= - 6x² - 3ax - 3b, compare to - 6x² + 12x - 15
Compare coefficients of x- terms
- 3a = 12 ( divide both sides by - 3 )
a = - 4
Compare constant terms
- 3b = - 15 ( divide both sides by - 3 )
b = 5
Coordinates of point C (2,-1). Explanation is in the attachment.
3) an $8 delivery fee and $1.50 per litre of water
This is because the $8 is a constant baseline, then adding $1.50 times the amount of litres purchased.
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>
Answer:
2.75 dollars
Step-by-step explanation:
4-1.25=2.75