Answer:
y=-5/4x+5
Step-by-step explanation:
Please explain your question more in depth next time
Given:
The stem-and-leaf plot or a date set.
To find:
The mode of data set.
Solution:
From the given stem-and-leaf plot, we get the numbers of the data set.
64, 67, 70, 70, 71, 75, 76, 78, 78, 80, 82, 82, 88, 91, 93, 94, 97, 98, 100, 100, 100
Mode of a date set is the most frequent value.
In the given data set the most frequent value is 100 with frequency 3.
Therefore, the mode of data set is 100. Hence, option A is correct.
Answer:
The initial mass of the sample was 16 mg.
The mass after 5 weeks will be about 0.0372 mg.
Step-by-step explanation:
We can write an exponential function to model the situation.
Let the initial amount be A. The standard exponential function is given by:
Where r is the rate of growth/decay.
Since the half-life of Palladium-100 is four days, r = 1/2. We will also substitute t/4 for t to to represent one cycle every four days. Therefore:
After 12 days, a sample of Palladium-100 has been reduced to a mass of two milligrams.
Therefore, when x = 12, P(x) = 2. By substitution:
Solve for A. Simplify:
Simplify:
Thus, the initial mass of the sample was:
5 weeks is equivalent to 35 days. Therefore, we can find P(35):
About 0.0372 mg will be left of the original 16 mg sample after 5 weeks.
Answer:
The frequency does not change with more trials
Step-by-step explanation:
To predict: the probability of the coin landing heads up
Solution:
Probability refers to the chances that an event will occur in an experiment. The value of probability lies between 0 and 1. 0 indicates impossible event and 1 indicates a sure event. The probability of an event can not be greater than 1.
When a coin is tossed, there are two possible outcomes: heads (H), tails (T).
In case of the probability of the coin landing heads up, the frequency does not change with more trials.
