A cylindrical jar's lid has a radius of 4 inches. If the volume is 351.68 in , approximately what is the height of the jar?
1 answer:
Answer:
7 inches
Step-by-step explanation:
The volume of a cylinder is calculated using
where r =4 inches is the radius and V=351.68 is the volume.
To find the height of the jar, we substitute these values and solve for h.
Divide both sides by 50.24 to get:
h=7 inches
Therefore the height of the jar is 7 inches
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Answer:
B, 33%
Step-by-step explanation:
Let us find the original price of four chairs without the special deal, and <u>compare</u> it with the deal to find the percent savings.
Step 1:
A customer must buy 4 chairs costing $75 each to recieve the deal. Let us <u>multiply</u> 4 by 75 to find the total cost without the deal:
Step 2:
We now know the original cost of the 4 chairs, and the price of 4 chairs with a deal. Let us <u>subtract the difference of costs</u> and convert it into a <u>percentage</u> to find percent savings:
%
<u>Therefore, B, the percent savings is 33%.</u>
<em>I hope this helps! Let me know if you have any questions :)</em>
Answer:
Are the events A and B disjoint? Yes
Step-by-step explanation:
Disjoint events are those events that cannot occur at the same time, i.e. for events <em>X</em> and <em>Y</em> to be disjoint, .
The event <em>A</em> is defined as the number of students whose age is at most 32.
And event <em>B</em> is defined as the number of students whose age is at least 37.
The events <em>A</em> and <em>B</em> are disjoint events.
- The sample space for event <em>A</em> consists of all the students of age group (under 21), (21 - 24), (25 - 28) and (29 - 32).
- Whereas the sample space for event <em>B</em> consists of all the students of age group (33 - 36), (37 - 40) and (Over 40).
The sample space for the intersection of these two events is:
Sample space of (<em>A</em> ∩ <em>B</em>) = 0
As there are no common terms in both the sample.
Hence proved, events <em>A </em> and <em>B</em> are disjoint.