Answer and Step-by-step explanation:
The signs didn't really "swap". Instead, the whole function was divided by -1, or we could say the function was divided by -3. That would turn:
-18x² - 15x + 3 = 0
into
(-18 / -3)x² - (15 / -3)x + (3 / -3) = 0
6x² + 5x - 1 = 0
And that gives the "swapped signs".
In a right rectangle, we have:
For your exercice, hypotenuse=12
The exercise also inform the angle 60°, then:
Answer:
A. 1206 cm³
Step-by-step explanation:
We have a cone and are asked to find the approximate volume of it.
Keep in mind we are using π for 3.14
The forumla of a cone is V = πr²
We know the radius = 12
and the height = 8
Substitute :
V = π12²
Since these are multiplied with each other, we can first start off with multiplying the fraction, including with factoring 12²:
V = 
Cancel the common factor - 3 :
V = 
Multiply 8 and 3π :
V = 
Solve the exponent :
V = 
Multiply :
V = 
Multiply for the final answer :
1205.76 cm³
which can be rounded up to
A. 1206 cm³
Answer:
So about 95 percent of the observations lie between 480 and 520.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviations of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
The mean is 500 and the standard deviation is 10.
About 95 percent of the observations lie between what two values?
From the Empirical Rule, this is from 500 - 2*10 = 480 to 500 + 2*10 = 520.
So about 95 percent of the observations lie between 480 and 520.
Answer:
x=1/5
Step-by-step explanation:
-5x-(-7-4x)=-2(3x-4)
-5x+7+4x=-6x+8
-5x+4x+7=-6x+8
-x+7=-6x+8
-x-(-6x)+7=8
-x+6x+7=8
5x+7=8
5x=8-7
5x=1
x=1/5
