Answer:
18 of them are boys
Step-by-step explanation:
40% = 40/100 = 0.40
0.40 × 45 = 18
Answer:
Part A: S= 24x-72
Part B: S and T are not equivalent for any values of x since when both equations are set equal to 0 they equal different answers. T=.75, while S=3
Step-by-step explanation:
To distribute first you multiply 4 by 6x which equals 24, then you multiply 4 by -18 which gives you -72. Then you the equation together.
Answer:
c = 7
d = 5
Step-by-step explanation:
Notice that in the first expression, x^c is inside a square root, and only perfect squares can be extracted from it. On the simplified form shown on the right hand side, we have x^3 outside the root and a single "x" left inside. In order for such to happen (x^3 get outside the root) there must have been an x^6 inside the square root. This together with the sole "x" that was left in the root, totals seven factors of x that should have been originally inside the square root:
x^6 * x = x^7 therefore c was a "7"
In the second expression we have a CUBIC root, so only perfect cubes can get extracted from it. Since there is one factor "x" shown in the simplified form (right hand side of the equal sign), that means that it must have been an x^3 (perfect cube) apart from the x^2 that was left inside the root. This makes the original power of x to be a 3 + 2 = 5.
Therefore d = 5
Answer:
99.7% data lies between 13 to 43
Step-by-step explanation:
Mean: 
Standard deviation : 
68% of data lies between 
to 
95% of the data lies between 
to 
99.7% data lies between 
to 
We are supposed to find 99.7 of the data will lie between which values
99.7% data lies between 
to 
99.7% data lies between 13 to 43
Hence 99.7% data lies between 13 to 43
If m and n are parallel, then that's like saying 3x-10 is equal to 5x-30 (or 3x-10 = 5x-30).
If that's the case, then You'll need to format the problem so you can solve for x. In order to solve this equation, we need to group all the variable terms on one side, and all of the constant terms on the other side of the equation.
So the -10, will be moved to the right side and the 5x will be moved to the left side. Also as each term that moves, it causes their signs to change.
So we now have the problem of 3x-5x=10-30. Now we can start to simplify the problem by combining like terms.
So 3x-5x = -2x and 10-30=-20 or more simply -2x=-20
Now we need to isolate the variable x so it's on a side by itself.
The easiest way to do this is simply divide both sides by 2, which gives us 2x/2=20/2 or more simply, x=20/2.
So we're down to the simple problem of x=20/2 which equals 10. So x=10.
