Plug 50 into y and find x.
5x + 10 (50) = 800
5x + 500 = 800
5x = 800 - 500
5x = 300
x = 300 ÷ 5
x = 60
Answer:
x=−16/3 or x=2
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
3x2+10x−8=24
Step 2: Subtract 24 from both sides.
3x2+10x−8−24=24−24
3x2+10x−32=0
Step 3: Factor left side of equation.
(3x+16)(x−2)=0
Step 4: Set factors equal to 0.
3x+16=0 or x−2=0
Answer:
Step-by-step explanation:
P(D/M₁) = .04 ( probability of defect from a 1 st machine )
P(D/M₂) = .06
P(D/M₃) = .01
P( M₁ )= .3 ( probability of manufacture from 1 st machine )
P(M₂) = .2
P(M₃)= .5
P( M₁/D) ( Probability of manufacture from 1 st machine , given it is defective )
= P( M₁ )xP(D/M₁) / [P( M₁ )xP(D/M₁) +P( M₂ )xP(D/M₂)+P( M₃ )xP(D/M₃)]
= .3 x .06 / .3 x .06 + .2 x .06 + .5 x .01
= .018 / .035
= 18/35
To start, first add up the total number of reservations made this week which would be adding up the total amount of reservations for each day:
15+5+10+25+40+30+35= 160
Then, since it is asking for the percent of Friday and Saturday, add the amounts together (40+30) which is 70.
Then, set these as a fraction where it is the reservations for Friday and Saturday over the total amount of reservations: 70/160
Now that you got that, do 70 divided by 160 which is 0.4375.
Finally, convert 0.4375 to a percent by moving the decimal right two and you get 43.75% as your answer.
Answer:
24
Step-by-step explanation:
Varies directly means that something constant times l equals V or V=kl where k is that constant.
Plug in point given 288=k(12) and solve the constant of proportionality by dividing both sides by 12.
k=288/12=24
