Answer:
x = 3
Step-by-step explanation:
In a 30-60-90 triangle the side between 60 and 90 degree angle is a, the side between 30 and 90 degree angle is a√3, and the hypotenuse is 2*a.
Given that the side that is supposed to be a is currently √3, we know that the missing side x must be:
a√3 (We know that a, in this case, is √3, so substitute)
x = (√3) * (√3)
x = 3
Answer:
66 and 2/3% is 66.66(or.67 could go either way)
Step-by-step explanation:
2/3 is your fraction answer and 66.66 is your decimal answer, hopefully this helps.
Answer:
- The y-intercept is (0, -37/7).
Explanation:
When you have one point and the slope of a line you can find its equation by using the point-slope form of the linear function:
- m = slope
- point = (a, b)
- point-slope equation: (y - b) = m (x - a).
Now substitute m = -1/7 and (a,b) = (5, - 6)
Solve for y:
- y = -(1/7)x - 37/7 ← this is the slope-intercept form of the equation.
The y-intercept is the point when x = 0. So, the corresponding y-coordinate is the constant term in the last equation:
And the y-intercept is the point (0, -37/7).
Answer:
The answer to the question is a rectangle.
Step-by-step explanation:
Given mean = 0 C and standard deviation = 1.00
To find probability that a random selected thermometer read less than 0.53, we need to find z-value corresponding to 0.53 first.
z= 
So, P(x<0.53) = P(z<0.53) = 0.701944
Similarly P(x>-1.11)=P(z>-1.11) = 1-P(z<-1.11) = 0.8665
For finding probability for in between values, we have to subtract smaller one from larger one.
P(1.00<x<2.25) = P(1.00<z<2.25) = P(z<2.25)- P(z<1.00) = 0.9878 - 0.8413 = 0.1465
P(x>1.71) = P(z>1.71) = 1-P(z<1.71) = 1-0.9564 = 0.0436
P(x<-0.23 or x>0.23) = P(z<-0.23 or z>0.23) =P(z<-0.23)+P(z>0.23) = 0.409+0.409 = 0.918
