Answer:
(11, 13)
Step-by-step explanation:
Carolyn's work is incorrect. Below is the correct solution:
Given:
----› Equation 1
-----› Equation 2
Substitute y = (x + 2) in equation 1
----› Equation 1
(substitution)
(distributive property)
[Note: this is where Carolyn made a mistake]
Collect like terms
(addition property of equality).
Substitute x = 11 in equation 2
-----› Equation 2
(substitution)
✅The solution to the system of equations would be:
(11, 13)
1)v/4-3=5
v-12=20
v=32
2)u/5+3=1
u+15=5
u=-10
3)6+z/9=9
54+z=81
z=27
4)-7+f/2=-1
-14+f=-2
f=12
5)9+w/4=-5
36+w=-20
w=-56
6)e/7-3=-5
e-21=-35
e=-14
7)-8+d/5=2
-40+d=10
d=50
8)u/5+3=6
u+15=30
u=15
9)f/-3+5=8
f-15=-24
f=-9
Looks like 4.5. You want to find what h equals when c equals zero
Given:
μ = 68 in, population mean
σ = 3 in, population standard deviation
Calculate z-scores for the following random variable and determine their probabilities from standard tables.
x = 72 in:
z = (x-μ)/σ = (72-68)/3 = 1.333
P(x) = 0.9088
x = 64 in:
z = (64 -38)/3 = -1.333
P(x) = 0.0912
x = 65 in
z = (65 - 68)/3 = -1
P(x) = 0.1587
x = 71:
z = (71-68)/3 = 1
P(x) = 0.8413
Part (a)
For x > 72 in, obtain
300 - 300*0.9088 = 27.36
Answer: 27
Part (b)
For x ≤ 64 in, obtain
300*0.0912 = 27.36
Answer: 27
Part (c)
For 65 ≤ x ≤ 71, obtain
300*(0.8413 - 0.1587) = 204.78
Answer: 204
Part (d)
For x = 68 in, obtain
z = 0
P(x) = 0.5
The number of students is
300*0.5 = 150
Answer: 150
Answer:
Step-by-step explanation:
to find out t, we divide by 3 both sides
-2/3=t
t=-2/3
