Answer:
-22/3 =x
Step-by-step explanation:
(4x-4) /(x+4) = 10
Multiply each side by (x+4)
(4x-4) /(x+4) * (x+4) = 10 * (x+4)
(4x-4) = 10 * (x+4)
Distribute
4x-4 = 10x+40
Subtract 4x from each side
4x-4-4x = 10-4x+40
-4 = 6x+40
subtract 40 from each side
-4 -40 = 6x+40-40
-44 = 6x
Divide each side by 6
-44/6 = -6x/6
-22/3 =x
Answer:
$12 per hour
Step-by-step explanation:
On the graph it shows he earned $24 in 2 hours, so divide how much he earned by two to get the amount he earned in just one.
Volume is legnth times widht times height
lenght=2x-1
width=x-2
height=x+1
multiply all together
use mass distributive property
distributive=a(b+c)=ab+ac so extending that
(a+c)(c+c)=(a+b)(c)+(a+b)(d) then keep distributing so
(2x-1)(x-2)(x+1)
do each one seperately
do the first two first and put the other one (x+1) to the side for later
(2x-1)(x-2)=(2x-1)(x)+(2x-1)(-2)=(2x^2-x)+(-4x+2)=2x^2-5x+2
then do the other one
(x+1)(2x^2-5x+2)=(x)(2x^2-5x+2)+(1)(2x^2-5x+2)=(2x^3-5x^2+2x)+(2x^2-5x+2)=2x^3-3x^2-3x+2
the lasst form is 2x^3-3x^2-3x+2
Volume (V) is (=) Length (L) times (x) Width (W) times (x) Height (H) so V = L x V x H.
Add the variables to the equation.
V = 24 x 10 x 13
Solve
V = 3120
So the volume of the gift box is 3120 cm
Answer:
The probability that exactly 19 of them are strikes is 0.1504
Step-by-step explanation:
The binomial probability parameters given are;
The probability that the pitcher throwing a strike, p = 0.675
The probability that the pitcher throwing a ball. q = 0.325
The binomial probability is given as follows;
Where:
x = Required probability
Therefore, the probability that the pitcher throws 19 strikes out of 29 pitches is found as follows;
The probability that exactly 19 of them are strikes is given as follows;
Hence the probability that exactly 19 of them are strikes = 0.1504
