Answer:
x=-1±4√31/3 ft is the height
Step-by-step explanation:
let the height be x ft.
then the length would be 3x+2
area = L*H= x(3x+2)
165=3x²+2x
0= 3x²+2x -165
dividing the whole equation by 3
0=x²+2x/3-55
(x)²+2(x)(1/3) +(1/3)² -55 -(1/9)=0
(x+1/3)²- 495-1/9=0
(x+1/3)²= 496/9
taking square root on both sides
(x+1/3)= ±4√31/3
x= ±4√31/3-1/3
x=-1±4√31/3 ft is the height
Using concepts of the normal and of the uniform distribution, it is found that the correct option is:
The distribution is approximately Normal, with a mean of 8 ounces and a standard deviation of 1.2 ounces.
- In an uniform distribution, all outcomes are equally as likely, thus they have the same height.
- In the normal distribution, the outcomes with the highest likelihood are those closest to the mean, thus they have the highest height. This means that the mean of this distribution is 8.
- The standard deviation cannot be a negative value, so in this problem, it is 1.2, which means that the correct option is:
The distribution is approximately Normal, with a mean of 8 ounces and a standard deviation of 1.2 ounces.
A similar problem is given at brainly.com/question/25128186
Answer:
2688
Step-by-step explanation:
To determine the number of different meals he could order, multiply the numbers of choices together
4 appetizers *4 meats* 6 vegetables * 4 desserts* 7 drinks =2688
There are 2688 different meals
Let us translate the statements in the problem to mathematics equations
Let the angle is x degree
So its supplement is
And its complement is
Since the supplement is 6 times its complement, so Multiply the complement by 6 and equate the answer by the supplement
Let us simplify the right side
Now let us solve the equation to find x
At first, add 6x to both sides to put x in the left side
Now subtract 180 from both sides to put the number in the right side
Divide both sides by 5 to get x
So the measure of the angle is 72 degrees
You can check the answer
180 - 72 = 108
90 - 72 = 18
18 * 6 = 108
So the supplement of 72 is six times its complement
