<u>Answer:</u>
- <u>The value of x is 19.</u>
<u>Step-by-step explanation:</u>
<u>We know that both of these expressions are equal because of vertically opposite angles. Let's solve.</u>
- => 7x - 8 = 6x + 11
- => 7x - 6x = 19
- => x = 19
<u>Hence, the value of x is 19.</u>
Hoped this helped.

Answer:
<em>The probability that on a given day the supermarket will sell between 304 and 305 gallons of milk is 0.0127 or 1.27%</em>
Step-by-step explanation:
<u>Normal Distribution</u>
The graph of the Normal Distribution is also called the Bell Curve because of its particular shape. It occurs naturally in many real situations where a random variable needs to be modeled according to experimental results.
To evaluate the probability of a Normal Distribution, we need some kind of digital means because the formula cannot be computed directly in a formula. We'll use the MS Excel's specialized formula NORMDIST for the first value of x=304:
NORMDIST( 304 , 319.9 , 26.4 , true ) = 0.2735
Now for x=305:
NORMDIST( 305 , 319.9 , 26.4 , true ) = 0.2862
Both values are now subtracted to get the required probability

The probability that on a given day the supermarket will sell between 304 and 305 gallons of milk is 0.0127 or 1.27%
Step-by-step explanation:
The answer is
4_

9_

Answer:
Answers: 46, 23, and 111
Step-by-step explanation:
To answer, we need to know the angles. Therefore, give each angle a name. Angle 1 will be x, 2 will be y, 3 will be z. So, using this system of equations:
x=2y
z=y+88
x+y+z=180
Substituting, z = 1/2(x)+88, now plug z into the third equation:
x+1/2(x)+1/2(x)+88=180
this simplifies to 2x+88=180
subtracting 88 from both sides leaves 2x=92
x=46
plug this in to the first equation: 46 = 2y, so y = 23
plug this into the third one leaves z = 111
Hope this helps!
Answer: masses are 825 g and 1125 g
Step-by-step explanation: masses of hamsters are x and x+ 300 g.
Total mass is x+(x+300) = 1950
2x = 1650 g and x= 825