The probability mass function of X equals 0.03. To clarify:
Assuming the requirement for winning is one side as heads and the opposing side as tails, the likelihood of both outcomes is 1/2 or 0.5. Thus, we can construct a graph to calculate all probabilities related to achieving heads. In this context, X indicates the dollar amounts won during the coin flips, while the probability of heads reflects the likelihood of each outcome and the potential winnings. The chances of winning decrease as the winning amount rises.
Answer:
43.2in
Step-by-step explanation:
If the two individuals maintain proportionality, then with the waist measurement of one person known, we can determine the other's waist size through the established ratio.
36in*(1*20%) = 36in*1.2 = 43.2in
Answer: 6000 steps Step-by-step explanation: 1/15 +1/10+1/2=2/30+3/30+15/30=20/30=2/3. Therefore, 2/3 equals 12000 steps, meaning 1/3 is 6000 steps. Overall, she should tally 18000 steps, and she has recorded 12000 steps, hence 18000-12000=6000 steps.
We opt to accept the null hypothesis. Given the following details provided: the Sample mean equals 28.8 miles per gallon, Sample size n is 120, and Alpha α is 0.01 with a sample standard deviation of 6.89 miles per gallon. Initially, we set up the null and alternative hypotheses. Utilizing a two-tailed t-test facilitates this hypothesis testing. By substituting the relevant values we calculate, and eventually conclude that we fail to reject the null hypothesis, endorsing that the average MPG for the Toyota Highlander Hybrid vehicles is indeed 28 miles per gallon.
<span>Applying the kinematic formulas:
(final speed)^2 = (initial speed)^2 - 2 * acceleration * distance
We are assuming the car experiences a constant braking force, yielding constant deceleration. To convert 34 mph into meters per second, we use 0.447 (thus, 34 mph equals 15.2 m/s).
(0)^2 = (15.2)^2 - 2 * acceleration * 29
This results in an acceleration of 4.0 m/s^2.
If the car were traveling at 105.4 mph (which is 47.1 m/s), it follows that:
(0)^2 = (47.1)^2 - 2 * 4 * distance
distance = 277 meters</span>
