First of all, this is not an observational study, but an experiment, since we have two groups and one of the two groups is manipulated or treated. In an observational study the subjects are only observed.
Second, the students did not choose their groups - so we can't choose the last answer.
Therefore the correct answer is:
This is an experiment because a treatment was applied to a group.
Answer:
If both Kelsey and Jeana purchase 6 pairs of uniform pants then they would pay the same amount for their purchases.
Step-by-step explanation:
The information provided is as follows:
- Kelsey buys several pairs of uniform pants for $17.95 each, and a sweater for $24.
- Jeana shops at a different store and buys several pairs of uniform pants for $18.95 each, plus a sweater for $18.
The variable <em>x</em> is the number of pairs of pants.
The total cost function for Kelsey will be:
The total cost function for Jeana will be:
Consider that both pay the same total cost for their purchases.
Compute the value of <em>x</em> as follows:
Thus, if both Kelsey and Jeana purchase 6 pairs of uniform pants then they would pay the same amount for their purchases.
<span>The number of dollars collected can be modelled by both a linear model and an exponential model.
To calculate the number of dollars to be calculated on the 6th day based on a linear model, we recall that the formula for the equation of a line is given by (y - y1) / (x - x1) = (y2 - y1) / (x2 - x1), where (x1, y1) = (1, 2) and (x2, y2) = (3, 8)
The equation of the line representing the model = (y - 2) / (x - 1) = (8 - 2) / (3 - 1) = 6 / 2 = 3
y - 2 = 3(x - 1) = 3x - 3
y = 3x - 3 + 2 = 3x - 1
Therefore, the amount of dollars to be collected on the 6th day based on the linear model is given by y = 3(6) - 1 = 18 - 1 = $17
To calculate the number of dollars to be calculated on the 6th day based on an exponential model, we recall that the formula for exponential growth is given by y = ar^(x-1), where y is the number of dollars collected and x represent each collection day and a is the amount collected on the first day = $2.
8 = 2r^(3 - 1) = 2r^2
r^2 = 8/2 = 4
r = sqrt(4) = 2
Therefore, the amount of dollars to be collected on the 6th day based on the exponential model is given by y = 2(2)^(5 - 1) = 2(2)^4 = 2(16) = $32</span>
Answer:
b ) the intersection of two events
Step-by-step explanation:
Gary and Steve are both hosting . There are 50 buttons total, 15 buttons are blue and 27 buttons are red. Gary puts all of the buttons into a bag. Steve and Gary both want to wear red buttons.What is the probability ? To solve this problem, you need to understand the Multiplication Rule of Probability.This probability means to find the probability of the intersection of two events, multiply the two probabilities.
Probability of two events occurring that is called intersection of two events. There are two different set of events , called independent and dependent events.
Independent events event is not affected by a previous event.
A dependent event is when one event influences the outcome of another event . To find the intersection of two events, whether they are independent or dependent, multiply the two probabilities together.
Answer:
4 dollars / yard.
Step-by-step explanation:
Formula
Cost per yard = Total Dollars paid/ yards of fabric
As a decimal 1/4 = 0.25
Givens
Total dollars paid = 13
Total yards of fabric 3.25
Solution
cost per yard = 13 / 3.25
Cost per yard = 4 dollars per yard
