Answer:
2
Step-by-step explanation:
for x = -1, y or f(-1) = 2
Answer:
Would it be 90 degrees?
Step-by-step explanation:
Answer:
X=1296
or if your trying to look for the area it would be x=1111
its basically length times width
Answer:
Step-by-step explanation:
It is given that; () is the proportion by which distances are scaled down on a map. One can use this to make a proportion and solve to find how many () would represent (). () will represent the unknown or the number of () that one has to solve for.
Cross products,
Inverse operations,
Answer:
82.62
Step-by-step explanation:
Mean score (μ) = 80
Standard deviation (σ) = 5
The 70th percentile of a normal distribution has an equivalent z-score of roughly 0.525.
For any given score, X, the z-score can be determined by:
For z = 0.525:
A raw score of approximately 82.62 corresponds to the 70th percentile.
Answer: the raw score that corresponds to the 70th percentile is 82.625
Step-by-step explanation:
Since the population of scores in the aptitude test is normally distributed., we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = aptitude test scores.
µ = mean score
σ = standard deviation
From the information given,
µ = 80
σ = 5
We want to find the raw score that corresponds to the 70th percentile.
70th percentile = 70/100 = 0.7
Looking at the normal distribution table, the z score corresponding to 0.7 is 0.525.
Therefore,
0.525 = (x - 80)/5
5 × 0.525 = x - 80
2.625 = x - 80
x = 2.625 + 80
x = 82.625
Thank you sm!!!
WILL GIVE BRAINLIEST!!
Answer:
12
Step-by-step explanation:
Pythogorean Theorem:
a squared + b squared = c squared
9 squared or 81 + ? squared = 15 squared or 225
Inverse Pythagorean Theorem:
c squared - a squared = b squared
225 - 81 = 144
sqrt (144) = 12
12 = b
Hope this helps! Good luck!
Answer:
0.430625 = 0.431
Step-by-step explanation:
Let W represent winning, D represent a draw and L represent a loss.
12+ points can be garnered in each of the following ways.
6W 0D 0L
5W 1D 0L
5W 0D 1L
4W 2D 0L
4W 1D 1L
4W 0D 2L
3W 3D 0L
The probability of getting 12+ points is the sum of all these 7 probabilities.
Knowing that P(W) = 0.5
P(D) = 0.1
P(L) = 0.4
P(6W 0D 0L) = [6!/(6!0!0!)] 0.5⁶ 0.1⁰ 0.4⁰ = 0.015625
P(5W 1D 0L) = [6!/(5!1!0!)] 0.5⁵ 0.1¹ 0.4⁰ = 0.01875
P(5W 0D 1L) = [6!/(5!0!1!)] 0.5⁵ 0.1⁰ 0.4¹ = 0.075
P(4W 2D 0L) = [6!/(4!2!0!)] 0.5⁴ 0.1² 0.4⁰ = 0.09375
P(4W 1D 1L) = [6!/(4!1!1!)] 0.5⁴ 0.1¹ 0.4¹ = 0.075
P(4W 0D 2L) = [6!/(4!0!2!)] 0.5⁴ 0.1⁰ 0.4² = 0.15
P(3W 3D 0L) = [6!/(3!3!0!)] 0.5³ 0.1³ 0.4⁰ = 0.0025
The probability of getting 12+ points = 0.015625 + 0.01875 + 0.075 + 0.09375 + 0.075 + 0.15 + 0.0025 = 0.430625