Answer: 228 students
Step-by-step explanation:
Since the results for the standardized test are normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = test reults
µ = mean score
σ = standard deviation
From the information given,
µ = 1700 points
σ = 75 points
We want to find the probability of students expected to score above 1850 points. It is expressed as
P(x > 1850) = 1 - P(x ≤ 1850)
For x = 1850,
z = (1850 - 1700)/75 = 150/75 = 2
Looking at the normal distribution table, the probability corresponding to the z score is 0.97725
P(x > 1850) = 1 - 0.97725 = 0.02275
If 10,000 students take the exam, then the number of students you would expect to score above 1850 points is
0.02275 × 10000 = 228 students
The answer to the problem would be false
Option B:
Solution:
Take LCM of the denominators and Make the denominators same.
LCM of 16, 320, 1 = 320
All the denominators are same, so you can write in one fraction.
Do cross multiplication.
Add 9280 on both sides of the equation.
Subtract 20x on both sides of the equation.
Let y = f(x).
Hence Option B is the correct answer.
Since we know the polygons are similar, the side length ratio of each side must be equal.
13/5 = x/10
Multiply both sides by 10
x = 26
That's your answer. Have a nice day! :)
Answer:
See below.
Step-by-step explanation:
I'll work it out myself, then we should be able to see the mistake:-
6 ∛ (64x^5y^9)
= 6 * 4 * x^(5/3) * y^3
= 24 x^(3/3) * x^(2/3) y^3
= 24 x y^3 ∛(x^2)
You've got confused withe the cube root (∛) on the first line. You've interpreted it as ' 3 times the square root' so you were on the wrong road from the beginning.
Note that y^9 has cube root y^(9/ 3) = y^3 and x^5 has cube root of x^(5/3). The square root of x^9 is x^(9/2).
