Answer:
11/2
Step-by-step explanation:
Multiply by 2/2 to remove the decimal.
Step-by-step explanation:
y=3x-5
6x+3y=15
6x+3(3x-5)=15
6x+9x-15=15
15x-15=15
+15 +15
15x=30
/15. /15
x=2
6(2)+3y=15
12+3y=15
-12. -12
3y=3
/3 /3
y=1
(2,1)
The answer is (2,1)
Answer:
a) the proportion is 0.159 (15.9%)
b) the proportion is 0.524 (52.4%)
c) Ralph is 70.958 inches tall
Step-by-step explanation:
defining our random variable X= heights of men , then we can define the standard random variable Z as
Z= (X- μ)/σ , where μ is the population's mean and σ is the corresponding standard deviation of X
then for X=72
Z= (X- μ)/σ
Z= (72-68)/4 = 1
a) P(X> 72) = P(Z> 1) = 1-0.841 = 0.159 (using standard normal distribution tables)
b) for X=64 and X=74
Z₁= (64 -68)/4 = -1
Z₂= (74-68)/4 = 1.5
then
P(68<X< 74) = P(-1<Z <1.5) 0 = P(Z<1.5) - P(Z<-1) = 0.933- 0.159 =0.774
c) Z₃ = 0.933 - 0.774*0.25 = 0.7395
thus
Z₃= (X₃- μ)/σ →X₃ =μ+ Z₃*σ = 68 + 0.7395*4 = 70.958 inches
therefore Ralph is 70.958 inches tall
Answer:
f(x)= e^(2x)-4
change f(x) to y, switch _6 and y. solve for _5x_
The final function
f^(-1) (x)= ln(x+_7(8_)/(_(__)
Step-by-step explanation:
Given that Noemi makes a bracelet that averages $0.60 per bead, we need to write an equation that models this average bead cost. This can be found by taking the total cost of the beads and dividing it by the number of beads used.
1. The total cost of the beads may be found by multiplying the price of each type of bead by the number used, and then adding these values together. Thus:
Total Cost = 0.75x + 3*0.3
= 0.75x + 0.9
2. Total number of beads = x + 3
3. Thus, the average cost is:
(0.75x + 0.9)/(x + 3)
4. Using the value of the average cost per bead given to us ($0.60), we can now write up the full equation:
0.6 = (0.75x + 0.9)/(x + 3)
