Answer:
8 rabbits
22 chickens
Step-by-step explanation:
c = chickens
r = rabbits
heads - c + r = 30
legs - 2c + 4r = 76
We can now use these two equations to create one by isolating the variable (c) in the first equation.
c = 30 - r
2c + 4r = 76
2(30 - r) + 4r = 76
60 - 2r + 4r = 76
2r = 16
r = 8
Now we know that there are 8 rabbits, which means that there has to be 22 chickens in order to have 30 heads.
When you say 1 over 3, you are basically saying 1 divided by 3, or expressed as a rational number:
. in our rational number the denominator is 1, and the numerator is 3
Now, a rational expression is an algebraic expression in a rational for. If we apply the same to your problem. 4 over x-3 means 4 divided by x-3, or in mathematical notation:
. In this case, the numerator is 4, and the denominator is
.
We can conclude that the equivalent rational expression of <span>4 over x - 3 is </span>
.
Answer:
y=-7x+13
Step-by-step explanation:
y=mx+b
m= your slope
b= your y intercept
Answer:
Step-by-step explanation:
Matt thinks that he has a special relationship with the number 2. In particular, Matt thinks that he would roll a 2 with a fair 6-sided die more often than you'd expect by chance alone. Suppose p is the true proportion of the time Matt will roll a 2.
(a) State the null and alternative hypotheses for testing Matt's claim. (Type the symbol "p" for the population proportion, whichever symbols you need of "<", ">", "=", "not =" and express any values as a fraction e.g. p = 1/3)
H0 =
Ha =
(b) Now suppose Matt makes n = 46 rolls, and a 2 comes up 10 times out of the 46 rolls. Determine the P-value of the test:
P-value = ( u figure it out) u got it
Answer:
x = 3.5 is not a solution
Step-by-step explanation:
3x +2 < 12
Subtract 2 from each side
3x +2-2 < 12-2
3x< 10
Divide each side by 3
3x/3 <10/3
x < 10/3
x <3.3333333
Any number greater than 3.3333 is not a solutions
3.5 is not a solution
