Step-by-step explanation:
x+50 = 180 because asim circle
x =180-130
x=150
Answer:
25
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 deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 175cm
Standard deviation = 6 cm
Percentage of students below 163 cm
163 = 175 - 2*6
So 163 is two standard deviations below the mean.
By the Empirical rule, 95% of the heights are within 2 standard deviations of the mean. The other 100-95 = 5% are more than 2 standard deviations of the mean. Since the normal distribution is symmetric, 2.5% of them are more than 2 standard deviations below the mean(so below 163cm) and 2.5% are more than two standard deviations above the mean.
2.5% of the students have heights less than 163cm.
Out of 1000
0.025*1000 = 25
25 is the answer
<span>Changing the y-coordinates will make all coordinates negative and give us an image, or reflection, in the third quadrantSwitching the coordinates will flip the figure back to the right orientationEach coordinate (x,y) is changed to (-y,-x)This is our general formula for rotating the figure 270 degrees about the origin</span> .Changing the y-coordinates will give us an image in the third quadrantIn other words, it will be a reflection of the figure in the second quadrant<span><span> Switching the coordinates will flip the figure back to the right orientation</span><span> <span>Each coordinate (x,y) is changed to (-y,-x)<span>This is our general formula for rotating the figure 270 degrees about the origin</span></span></span></span>
Answer:
there is only one solution
3x - 1 = 2x
x - 1 = 0
x = 1