Answer:
b
Step-by-step explanation:
The graduate record examination is a standard test for the selection process of graduate schools and is a requirement. It tests the abstract thinking is areas of analytical writing, mathematics and vocabulary.
The millers analogy test is used for graduate school admissions and admissions to high IQ institutions. It is a verbal or computer based assessment aiming to test the individuals logical and analytical skills by using partial analogies.
The equation of a parabola with vertex at (h,k) is
y=a(x-h)²+k
vertex isi at (0,0)
y=a(x-0)²+0
y=a(x)²
y=ax²
find a
we see that one point is (14,-74)
x=14 and y=-74
-74=a(14²)
-74=196a
divide both sides by 196
-37/98=a
the equation is
Answer:
The volume of cube-shaped block is 0.125 cubic feet.
Step-by-step explanation:
We are given the following in the question:
Edge length of storage container =

Edge length of block =

Putting value we get,
Edge length of block =

Volume of cube-shaped block = Volume of cube

Thus, the volume of cube-shaped block is 0.125 cubic feet.
Answer: 3.5
Step-by-step explanation:
Given: Dimensions of larger prism = length of 4.2 cm, a width of 5.8 cm, and a height of 9.6 cm.
Dimensions of smaller prism = length of 14.7 cm, a width of 20.3 cm, and a height of 33.6 cm.
Scale factor = 
Since, smaller figure is the original figure and the bigger one is the image.
So, scale factor =
[Taking lengths
Hence, the factor to produce the corresponding dimensions of the larger prism = 3.5
Answer: the probability that a randomly selected tire will have a life of exactly 47,500 miles is 0.067
Step-by-step explanation:
Since the life expectancy of a particular brand of tire is normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = life expectancy of the brand of tire in miles.
µ = mean
σ = standard deviation
From the information given,
µ = 40000 miles
σ = 5000 miles
The probability that a randomly selected tire will have a life of exactly 47,500 miles
P(x = 47500)
For x = 47500,
z = (40000 - 47500)/5000 = - 1.5
Looking at the normal distribution table, the probability corresponding to the z score is 0.067