Hello!
(this took me 20 minutes to type out from what I wrote on paper lol)
I'm going to guide you through this one step at a time
Step 1: Simplify both sides of the equation.
2.3(6−x)+22 = 96−2.3(2x+12)
(2.3)(6)+(2.3)(−x)+22 = 96+(−2.3)(2x)+(−2.3)(12) (use distributive property of multiplication)
13.8+−2.3x+22 = 96+−4.6x+−27.6
(−2.3x)+(13.8+22) = (−4.6x)+(96+−27.6) (Combine The Like Terms)
−2.3x+35.8 = −4.6x+68.4
−2.3x+35.8 = −4.6x+68.4
Step 2: now, add 4.6x to both sides.
−2.3x+35.8+4.6x = −4.6x+68.4+4.6x
2.3x+35.8 = 68.4
Step 3: next, subtract 35.8 from both sides.
2.3x+35.8−35.8 = 68.4−35.8
2.3x = 32.6
Step 4: Divide both sides by 2.3.
= 
fractions solved: x = 14.173913
your final answer is: x = 14.173913
I hope this helps, and have a nice day!
Answer:
8%
Step-by-step explanation:
1% of 750 is 7.50
So 60 divided by 7.5 is 8
Answer:
Period = pi
Angular frequency = 2
Amplitude = 5
Midline is the line y = 3
Step-by-step explanation:
A sinusoidal wave is written in the general form as:
f(x) = A*cos(w*x) + C
Where:
- A is the amplitude.
- w is the angular frequency, this is equal to 2*pi/T
where T is the period.
- y = C is the midline.
Then in the equation:
f(x) = 5*cos(2*x) + 3
- 5 is the amplitude.
- 2 is the angular frequency (in the image is called frequency, but this quantity must be in radians/time, while the normal frequency is only in Hz)
- We know that the angular frequency is equal to 2*pi/T, whit this eqation we can find the period:
2 = 2*pi/T
T = 2*pi/2 = pi
pi is the period.
- y = 3 is the midline.
Answer:
(Neither they aren't parallel because they intersect and they aren't perpendicular because while they intersect they don't make a 90 degree angle and the point of intersection is (1.5,0) and (0,2) since it intersects at 2 places.) -Raymond :3
Step-by-step explanation:
Answer:
As long as the sample size n is large enough: The average IQ of Americans in the sample will be normally distributed.
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a random variable X, with mean 
and standard deviation 
, the sample means with size n of at least 30 can be approximated to a normal distribution with mean and standard deviation 
So the correct answer is:
As long as the sample size n is large enough: The average IQ of Americans in the sample will be normally distributed.
