His father can drive 25 days without the warning light
Answer:44
Step-by-step explanation:44
Speed=distance/time
Speed=7.5/3
Speed=2.5 mph
Answer:
23.72% probability that 3 of them have hardcover texts.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
The order in which the students are chosen is not important. So we use the combinations formula to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
If you randomly choose 15 students in this class, find the probability that 3 of them have hardcover texts.
Desired outcomes:
3 with hardcover texts, from a set of 25.
15-3 = 12 with paperback texts, from a set of 75. So
Total outcomes:
15 students from a set of 100. So
Probability:
23.72% probability that 3 of them have hardcover texts.
<h3>
Answer: D) The y intercept is (0,1)</h3>
This can be confirmed by plugging x = 0 into the function to find that...
y = (1/2)^x
y = (1/2)^0
y = 1
Recall that any nonzero value to the 0th power leads to 1. So we can say x^0 = 1 as long as x is not zero.
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Extra info (optional section):
- We can rule out choice A because negative x values work in the domain. For instance, if x = -1, then it leads to y = (1/2)^x = (1/2)^(-1) = 2. The negative exponent will apply the reciprocal operation to the base fraction.
- Choice B can also be ruled out because the range is y > 0. Or you could note that it is possible to get positive y values smaller than 1/2. Try x = 2 and you'll see it leads to y = 1/4 which is not greater than 1/2.
- Choice C is false as well. The function f(x) = (1/2)^x is decreasing throughout the domain. A graph visually would show this due to it going downhill when moving from left to right. A table of values is a non-visual way to see we have a decreasing function. The table would show that y decreases when x increases.
