Step-by-step explanation:
Answer:
6√2
Step-by-step explanation:
This is a right triangle. The legs of a right triangle are the sides that make up the right angle, and the hypotenuse is the side opposite to the right angle. To find x, we will use the Pythagorean Theorem. This states that a² + b² = c², where a and b are the legs and c is the hypotenuse. Since we know that the legs are both x and the hypotenuse is 12, we can plug these values into our equation to get x² + x² = 12².
2x²=144 → x² = 72 → x = √72, which simplifies to x = 6√2. Hope this made sense and helps!
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 first one is the correct answer, just finished it
Answer:
A
Step-by-step explanation:
Point A:
The original coordinate of point A was (-6,-6).
The coordinate after the transformation is A'(1,6), which eliminates option 3.
Point B:
The original coordinate of point B was (-2,4).
After the transformation, we have B'(5,-4), which eliminates option 1 and option 4. This means that the correct answer is:
<u>2. (x,y) → (x+7,-y)</u>
