Answer:

Step-by-step explanation:
We have been given that there are 4 red marbles and 7 blue marbles and 5 yellow marbles in a bag. Monica will randomly pick two marbles out of the bag replacing the first marble before picking the second marble.
Since Monica will replace the first marble before picking the second marble, therefore, probability of both events will be independent and probability of occurring one event will not affect the probability of second event's occurring.
Since the probability of two independent compound events is always the product of probabilities of both events.

Now let us find probability of picking a red marble out of 16 (4+7+5) marbles.

Probability of picking blue ball out of 16 (4+7+5) marbles:

Now let us find probability of Monica picking a red and then a blue marble.





Therefore, the probability of picking a red and then blue marble is
.
Answer: d)In repeated samples of the same size, approximately 95 percent of the intervals constructed from the samples will capture the population difference in means.
Step-by-step explanation:
Confidence interval is constructed to estimate a range of values that could possibly contain the population parameter. This could be the population mean or population proportion. A 95 percent confidence interval does not mean 95% probability. It tells how confident that we are that the confidence interval contains the population proportion. If we construct 100 of the given confidence interval, we are confident that 95% of them would contain the true population parameter. Therefore, the correct option is
d)In repeated samples of the same size, approximately 95 percent of the intervals constructed from the samples will capture the population difference in means.
Answer:
The sports car, because it has less mass and therefore less inertia
Step-by-step explanation:
When an object has less inertia it is easier to be put into and out of motion, and a sports car would obviously weigh less than a van.
Given:
Morning Temperature = 15 degrees, Afternoon Temperature = 30 degrees
Morning Temperature = 20 degrees, Afternoon Temperature = 40 degrees
Morning Temperature = 26 degrees, Afternoon Temperature = 52 degrees
To find:
The ratio of the afternoon to morning.
Solution:
Taking any one pair of morning and afternoon temperature, we can find the ratio.
Morning Temperature = 15 degrees
Afternoon Temperature = 30 degrees




Therefore, the correct option is C.
Answer:
0.40404040.
Step-by-step explanation: