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
total area = 3×7 + 3×10 + 12×5
= 21+ 30 + 60 = 111
Answer:
( x - 2 ) & ( 3 x - 2 ) = 0 are the factors of the given equation.
Step-by-step explanation:
The given equation is 6 x² + 8 x - 8 = 0 ......................(i)
<em>Divide by 2 in equation (i) both sides-</em>
<em>3 x² + 4 x - 4 = 0</em>
<em>3 x² + 6 x - 2 x - 4 = 0</em>
<em>3 x ( x + 2 ) - 2 ( x + 2 ) = 0</em>
<em>( x - 2 ) (3 x - 2 ) = 0</em>
Hence ( x - 2 ) & ( 3 x - 2 ) = 0 are the factors of the given equation.
If each dowel is .5 of an inch. Then 2 dowels can be made per inch. If there are 10 inches. Then 20 dowels can be made because 10*2 equals 20.
Answer:
Yes.
Step-by-step explanation:
I had a problem just like this and you are correct.