<h2>
Answer:</h2>
<u>The length is</u><u> 250 meters</u>
<h2>
Step-by-step explanation:</h2>
If we look at the left corner of the diagram we see a scale. According to the scale factor of the map
1 cm :1000 cm
The length of the lap on the map is 25 cm
So (25 × 1000) = 25000 cm
Since
1 meter = 100 centimeter
So the actual length of the lap = 25000 ÷ 100 = 250 meters
Answer: 0.9990
Step-by-step explanation:
Given : The number of bits in a string = 10
The value taken by a bit is either 0 or 1.
Therefore, the probability that the bit is zero = 
Binomial probability distribution formula :-
, where P(x) is the probability of getting success in x trials , n is the total number of success and p is the probability of getting success in each trial.
Now, the probability that you picked a string with at least one zero is given by :-

Hence, the probability that you picked a string with at least one zero = 0.9990
Find lengths of BC and DC.
Then use Pythagorean Theorem to find BD (the hypotenuse of right triangle DCB). So Pythag here would be:

See attached picture for full work.
Answer:
We conclude that the range of the function is 'all positive real numbers'.
Thus, option (A) is true.
Step-by-step explanation:
Given the expression

Determining the domain:
The domain of a function is the set of input values for which the function is real and defined.
It is clear that the given function has no undefined points nor domain constraints.
Therefore, the domain is: -∞ < x < ∞
Thus,

Determining the range:
The range is the set of values of the dependent variable for which a function is defined.
We know that the range of an exponential function of the form


In other words, the range is all positive real numbers.
Thus,

Therefore, we conclude that the range of the function is 'all positive real numbers'.
Thus, option (A) is true.
-$34 because -$34 is closer to zero than -$67. The numbers, if they are closer to zero, then they are bigger.