Check the picture below.
recall that in a rhombus the diagonals bisect each other at a right-angle, and that all sides are equal.
thus the longer diagonal is 2a long, and the shorter diagonal is 2b long.
Answer: Peters age is 25 years old.
The two equations that can be written given the information are:
h = x/5 + 7 and 4h = 2x - 2
When x = Peter's age and h = Phil's age.
If we use substitution, we can come up with the equation:
4(x/5 + 7)= 2x - 2
4x/5 + 28 = 2x - 2
4x + 140 = 10x - 10
150 = 6x
25 = x
Solving this for x, we give us that Peter's age is 25.
Answer:
2.5% of IQ scores are no more than 65
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 = 95
Standard deviation = 15
Using the empirical rule, what percentage of IQ scores are no more than 65?
65 = 95 - 2*15
So 65 is two standard deviations below the mean.
By the Empirical Rule, 95% of the measures are within 2 standard deviation of the mean. Of those 5% which are not, 2.5% are more than 2 standard deviations above the mean and 2.5% are more than 2 standard deviations below the mean.
So 2.5% of IQ scores are no more than 65
Hello,
A=(-4,2)
B=(3,-5)
AB≡y-2=(x+4)(-7)/7==>y=-x-2
Slope of the perpendicular: 1
y-2=(x-1)1==>y=x+1 is the equation of the perpendicular.
Intersection: y=x+1 and y=-x-2 ==>(-3/2,-1/2)=Q
|PQ|²=(-1/2-2)²+(1+3/2)²=25/2
|PQ|=5√2/2≈3.5355339059....
Answer:
30000000
Step-by-step explanation: