Answer:
Step-by-step explanation:
Factor
w
2
+
18
w
+
77
using the AC method.
Tap for fewer steps...
Consider the form
x
2
+
b
x
+
c
. Find a pair of integers whose product is
c
and whose sum is
b
. In this case, whose product is
77
and whose sum is
18
.
7
,
11
Write the factored form using these integers.
(
w
+
7
)
(
w
+
11
)
(420,104)(720,164)
slope = (164 - 104) / (720 - 420) = 60/300 = 1/5
y = mx + b
slope(m) = 1/5
(420,104)...x = 420 and y = 104
now we sub and find b, the y int
104 = 1/5(420) + b
104 = 84 + b
104 - 84 = b
20 = b
so ur equation is : y = 1/5x + 20
Answer:
Step-by-step explanation:
23x + xy - y + 3y + 5 - 20x + 6xy = 23x - 20x + xy + 6xy -y + 3y + 5
= 3x + 7xy + 2y + 5
Errors:1) The combined coefficients of the x terms should be 3x, not 43x
2) The coefficients of the y terms have been multiplied.
3) The constant was left off.
Answer:
8 years
Step-by-step explanation:
Lets write an equation for Type A
The initial value is 5 ft and the slope 12 inches
We need to have the same units, so lets change 5 ft to inches
5 ft * 12 inches / ft = 60 inches
y = mx+b
y = 12 x + 60
Lets write an equation for Type B
The initial value is 3 ft and the slope 15 inches
We need to have the same units, so lets change 3 ft to inches
3 ft * 12 inches / ft = 36 inches
y = mx+b
y = 15 x + 36
We want to know when y is the same value. We can set the equations equal.
12x + 60 = 15x+36
Subtract 12 x from each side
12x-12x+60 = 15x-12x +36
60 =3x+36
Subtract 36 from each side
60-36 = 3x+36-36
24 = 3x
Divide each side by 3
24/3 = 3x/3
8 =x
It will take 8 years for the trees to be the same height
Answer:
a) 20.61%
b) 21.82%
c) 42.36%
d) 4 withdrawals
Step-by-step explanation:
This situation can be modeled with a binomial distribution, where p = probability of “success” (completing the course) equals 80% = 0.8 and the probability of “failure” (withdrawing) equals 0.2.
So, the probability of exactly k withdrawals in 20 cases is given by
a)
We are looking for
P(0;20)+P(0;1)+P(0;2) =
0.0115292150460685 + 0.0576460752303424 + 0.136909428672063 = 0.206084718948474≅ 0.2061 or 20.61%
b)
Here we want P(20;4)
c)
Here we need
But we already have P(0;20)+P(0;1)+P(0;2) =0.2061 and
d)
For a binomial distribution the <em>expectance </em>of “succeses” in n trials is np where p is the probability of “succes”, and the expectance of “failures” is nq, so the expectance for withdrawals in 20 students is 20*0.2 = <em>4 withdrawals.</em>
