2√72 / √8 ± √2
If the denominator is √8 + √2,
2√72 / √8 + √2
= 2√(2*2*2*3*3) / √(2*2*2) + √2
= 2*2*3√2 / 2√2 + √2
= 12√2 / 3√2
= 4
Answer:
150 students
Step-by-step explanation:
According to statement we have the following information
number of juniors=n=300
mean score=24
standard deviation score=4
The number of students that score above 24 is determined by
Number of students score above 24=number of juniors* P(student score above 24)
P(student score above 24)=P(x>24)=P(x-mean/sd>24-24/4)=P(z>0)=0.5.
Students score above 24=np=300*0.5=150
Hence there are 150 students scored above 24.
Answer:
the distance between the 2 points is 6.4 units.
Step-by-step explanation:
point 1 has the coordinates (-4, -2).
point 2 has the coordinates (1, 2).
the distance between both points is the Hypotenuse of the right- angled triangle of the coordinate difference lines in parallel to x- and y-axis.
so, how long is the difference in x dimension ?
and his long is the difference in y dimension ?
these are the sides of the triangle.
the difference in x dimension :
1 - -4 = 1 + 4 = 5
the difference in y dimension :
2 - -2 = 2 + 2 = 4
P1P2² = 4² + 5² = 16 + 25 = 41
P1P2 = sqrt(41) = 6.4
Divide by the coefficient of P₂ to get
.. P₂ = P₁V₁/V₂ . . . . . . . selection C
Answer:
j = 59
Step-by-step explanation:
since you are solving for j, you want to get it by itself
you can start out by multiplying both sides of the equation by 6 to get rid of the fractions
distribute the 6
add 54 to both sides
