The most you can make is 16 because you need a dvd in each prize even though there is still pretzels and popcorn
Answer:
16π in
Step-by-step explanation:
circumference formula is 2πr
so as the minute hand goes around with time it will travel 16π in or 50.27in
The area that the dog can wander based on the information provided will be 931π.
<h3>How to calculate the area?</h3>
From the information, we are told that the dog dog is attached to a 35-foot rope fastened to the outside corner of a fenced-in garden that measures 28 feet by 36 feet.
In this case, the dog is in an outside corner. The dog can trace 3/4 of a circle when it starts walking in a circle away form the wall.
The area that the dog can wander will be:
= 3/4(π35²) + 1/4(π(35 - 28)²)
= 3/4π(35)² + 1/4π(7)²
= (3/4 × 1225)π + (1/4 × 49)π
= 918.75π + 12.25π
= 931π
Therefore, the area that the dog can wander based on the information provided will be 931π.
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Answer:
x² + (y+3)² = 4²
Step-by-step explanation:
A close look at the diagram reveals that the center of this circle is (0, -3) and that the radius is 4 units.
Starting from the general equation of a circle, (x - h)² + (y - k)² = r²
and substituting the givens (h = 0, k = -3, r = 4), we get:
x² + (y+3)² = 4². This is Answer B.
Answer:
To use a paired t-test
Step-by-step explanation:
t-tests are essentially tests carried out to compare two different groups to check if there is a major difference in their performances or results which may be related in certain characteristics.
A paired (correlated) t-test is used when there are matched pair of similar units or instances of repeated measurements.
In this case, Mary has to use a paired t-test because the samples (students) have high similarity in characteristics. The students in question has to be from the same class to test her hypothesis (similar characteristics).
