Answer:
1.) 48
2.) 65
3.) 36
Step-by-step explanation:
1.) If the equation is 6(x-4) and x = 12, then all we have to do is plug in the value of x. When we plug in, all we do is substitute 12 for x because they mentioned in the question that x = 12. So, we end up getting 6(12 - 4). After solving this, we get 48.
2.) This problem is a lot like the last problem. All we need to do is substitute /plug in the values of x and y into the equation, to get 4(4^2) - 35/7 - (8 + 14). After solving, we get 65.
3.) . This problem, once again, is also a lot like the last problems. We need to substitute the value of x into the equation 8x+12. Since we know from the problem that x is 3, all we have to do is 8 * 3 + 12.
Answer:
medium
Step-by-step explanation:
The right answer is Medium, because to travel through the ear the sound wave must go through the ear drum.
Answer:
a
The estimate is 
b
Method B this is because the faulty breaks are less
Step-by-step explanation:
The number of microchips broken in method A is 
The number of faulty breaks of method A is 
The number of microchips broken in method B is 
The number of faulty breaks of method A is 
The proportion of the faulty breaks to the total breaks in method A is


The proportion of the faulty to the total breaks in method B is

For this estimation the standard error is

substituting values


The z-values of confidence coefficient of 0.95 from the z-table is

The difference between proportions of improperly broken microchips for the two breaking methods is mathematically represented as
![K = [p_1 - p_2 ] \pm z_{0.95} * SE](https://tex.z-dn.net/?f=K%20%3D%20%5Bp_1%20-%20p_2%20%5D%20%5Cpm%20z_%7B0.95%7D%20%2A%20SE)
substituting values
![K = [0.08 - 0.07 ] \pm 1.96 *0.0186](https://tex.z-dn.net/?f=K%20%3D%20%5B0.08%20-%200.07%20%5D%20%5Cpm%201.96%20%2A0.0186)

The interval of the difference between proportions of improperly broken microchips for the two breaking methods is

Answer:
Option B is correct.
Step-by-step explanation:

We need to write the above equation in square root form.
We know that 1/4 = ![\sqrt[4]{x}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7Bx%7D)
So,
can be written as:
![(\sqrt[4]{10})^{3x}](https://tex.z-dn.net/?f=%28%5Csqrt%5B4%5D%7B10%7D%29%5E%7B3x%7D)
Option B is correct.
Answer:
x= -3, y=-6
Step-by-step explanation:
In the equation -5x-y=21, substitute y for 6+4x:
-5x- (6+4x) = 21
^^Solve for x.
X should come out to -3. To find y, plug -3 into either equation (-5x-y=21 or y=6+4x) and y should equal -6.