Answer:
Initial dive: - 248 (below the surface which represents '0')
Second dive: -10
Present depth -248 + -10 = -258 feet below the surface
Step-by-step explanation:
We can use negative integers to represent real-world scenarios such as in elevation and descent, bank account balances and temperatures. In this case, because a diver is descending below the surface of the water, the surface of the water represents the '0' and going down into the water would be negative integers. So, his initial dive is 248 down, or negative 248 (-248), he then dives down an additional 10 feet, or negative 10 (-10). Since the second dive is in addition to his initial dive, we add the two integers together:
-248 + -10 = -258 feet
Answer:
3643
Step-by-step explanation:
Answer:
0.0786
Step-by-step explanation:
It is given that Bartholemew had drawn the replacement of 160 tickets.
There are five tickets = [0, 0, 0, 1, 2]
Now we need to find the estimate of the ticket that has 1 on it and it turns up on the 32 draws exactly.
Since the probability of the drawing 1 out of 5 tickets is given by, 
So the binomial with the parameter of n = 160 and p = 0.2, we get
P (it turns up on exactly 32 draws) = P(X = 32)
Therefore,

= 0.0786
Answer:
The ladder has to be 65 feet long to the nearest foot.
Step-by-step explanation:
The height of the chimney from the ground is the sum of the height of the wall and the height of the chimney.
Therefore, the height of the chimney from the ground = (30 + 33) = 63 feet.
Now, the ladder makes a right triangle with the ground and the chimney and the ladder makes an angle of 75.5° with the ground.
Therefore, using trigonometry we can write,

⇒ The length of the ladder = 65 feet.
Hence, the ladder has to be 65 feet long to the nearest foot. (Answer)
<span>A transversal is two parallel lines intersected by a third line at an angle. The third line is referred to as thetransversal line. When this line happens, severalangles are created. You can use these angles to find the measurements of other angles.</span>