Answer:
D) 0.211
Step-by-step explanation:
The probability of getting a correct answer is 1/4, so the probability of an incorrect answer is 3/4.
The probability of 2 correct and 2 incorrect is (1/4)(1/4)(3/4)(3/4) = 9/256.
There are C(4,2) = 4·3/(2·1) = 6 ways to have some combination of 2 correct and 2 incorrect out of 4 questions. So, the probability of that result is ...
... 6 · 9/256 = 27/128 =0.2109375 ≈ 0.211
Value of x is 10
Step-by-step explanation:
- Step 1: Here, x is the hypotenuse of the right angled triangle. Use the trigonometric ratio cosine to find x.
cos 28° = adjacent side/hypotenuse = 11/x
⇒ x = 11/cos 28° = 11/-0.96 = -11.46 ≈ 10 (rounding off to nearest tenth)
Answer:
30.6 cm²
Step-by-step explanation:
The area of the parallelogram is simply the sum of the areas of the component three shapes - the square and the two triangles.
Area of square = 4.5 cm × 4.5 cm = 20.25 cm²
Area of two triangles = 2 ×(1/2) × 2.3 cm × 4.5 cm = 10.35 cm²
Area of parallelogram = 20.25 cm² + 10.35 cm² = 30.6 cm²
Answer:
The change in elevation=2,400 feet
Step-by-step explanation:
The expression to determine the change in elevation after 6 minutes is a s follows;
D=S×T
where;
D=change in elevation in feet
S=speed/ descending rate
T=time
In our case;
D=unknown
S=400 feet/minute
T=6 minutes
replacing;
D=400×6=2,400 feet
The change in elevation=2,400 feet
