Answer:
d = -4.7
Step-by-step explanation:
d + 0.7 = -4
subtract 0.7 from both sides
d + 0.7 = -4
- 0.7 -0.7
d = -4.7
The zeros are (-4,0),(-3,0),(3,0)
9514 1404 393
Answer:
(x, y) = (-2.5, -4)
Step-by-step explanation:
Since you are given an expression for y, it is convenient to substitute that into the second equation.
2x -3(6x +11) = 7
2x -18x -33 = 7
-16x = 40 . . . . . . add 33
x = -40/16 = -2.5
Using the equation for y, we find ...
y = 6(-2.5) +11 = -15 +11 = -4
The solution is (x, y) = (-2.5, -4).
Answer:
Step-by-step explanation:
$ 3750 = truck rental; $125 per ton of sugar transported
C is cost; S is number of tons transported
Equation relating C to S would be a linear equation like y = mx + b
C = 125S + $3750
This equation would be graphed in the first quadrant only
you would start with your y-intercept at (0, 3750)
As x increases by 1, your y increases by 125 yielding these points:
(1, 3875) (2, 4000) (3, 4125) etc.
This shows that for each increase by one ton of sugar, the cost goes up $125
1)Cost of 1 ton = $ 2000
Cost of 2 ton = $3500
Cost of 3 ton = $5000
$ 1500 increase for each of ton of sugar being transported.
2) (1 , 2000) ; (2 , 3500)
Slope =
= 1500
Answer:
(a)
0.32
(b)
0.68
Step-by-step explanation:
It is given that a binomial experiment is carried out.
n = 4 trials
Probability of success, p = 0.25
We know that in a binomial experiment:
Probability of success + Probability of failure = 1
p + q = 1
So, q = 1 - 0.25 = 0.75
Probability of 'r' number of successes in 'n' trials of a binomial experiment is given as:

(a) P(r = 0) = ?
Putting values of x = 0, p and q:

(b) Find P(r ≥ 1) = ?
<em>Using complement rule:</em>
<em>P(r =0 ) + P(r ≥ 1) = 1</em>
0.32 + P(r ≥ 1) = 1
P(r ≥ 1) = 1 - 0.32
P(r ≥ 1) = 0.68
So, the answer are:
(a)
0.32
(b)
0.68