Answer:
Junk gets 72
Step-by-step explanation:
Leah: Junko: total
1 8 1+8 = 9
The total is 81
81/9 = 9
Multiply each part by 9
Leah: Junko: total
1*9 8*9 9*9
9 72 81
Sin^2x (sec^2x + csc^2x) = sec^2x
I would convert the functions in the parentheses to their reciprocals.
sin^2x (1/cos^2x + 1/sin^2x) = sec^2x
Now distribute the sine.
sin^2x/cos^2x + sin^2x/sin^2x = sec^2x
Remember that sine divided by cosine is always tangent.
tan^2x + sin^2x/sin^2x = sec^2x
The remaining fraction is simply 1.
tan^2x + 1 = sec^2x
Use the Pythagorean identity to add the left side.
sec^2x = sec^2x
Q.E.D.
Answer:
The probability is 0.503
Step-by-step explanation:
If the ghost appearances occur in the house according to a Poisson process with mean m, the time between appearances follows a exponential distribution with mean 1/m. so, the probability that the next ghost appearance happens before x hours is equal to:
Then, replacing m by 1.4 ghosts per hour we get:
Additionally, The exponential distribution have a memoryless property, so if it is now 1:00 p.m. and we want the probability that ghost appear before 1:30 p.m., we need to find the difference in hours from 1:00 p.m and 1:30 p.m. no matter that the last ghost appearance was at 12:35 p.m.
Therefore, there are 0.5 hours between 1:00 p.m. and 1:30 p.m, so the probability that the 7th ghost will appear before 1:30 p.m is calculated as:
Answer:
the answer is C
Step-by-step explanation:
BABYSHARK
Answer:
528 cm²
Step-by-step explanation:
The surface area of this prism comprises:
- 2 congruent triangles (the bases of the prism)
- 2 congruent rectangles (rectangle 1 and 2) - since the triangle has 2 sides of equal length
- 1 rectangle (rectangle 3)
Area of a triangle = 1/2 × base × height
= 1/2 × 16 × 6
= 48 cm²
Area of rectangle 1 / 2 = width × length
= 10 × 12
= 120 cm²
Area of rectangle 3 = width × length
= 16 × 12
= 192 cm²
Total Surface Area = 2 triangles + 2 rectangles + rectangle 3
= (2 × 48) + (2 × 120) + 192
= 96 + 240 + 192
= 528 cm²
