Hi, What is the lowest positive integer greater than 1, which when divided by 5 or 8 leaves a remainder of 1

1 answer:

3 0

Very interesting question!

Let's try to get something that would work for just 5 for now.
Any of these numbers would leave a remainder of 1 when divided by just 5:
6, 11, 16, 21, 26, 31, 36, 41, 46, 51, 56, 61, 66, 71, 76, 81, 86, ...
Notice that they all look like 5*(something) + 1. Basically, they are all multiples of 5 plus 1.

Let's see what would work for just 8:
9, 17, 25, 33, 41, 49, 57, 65, 73, 81, 89, ...

Are there any matches... AHA! It's 81. This is the lowest positive integer greater than 1 that follows the rule for both 5 and 8.

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HELP! Find the value of the 30th percentile of the following set of data. 129, 113, 200, 100, 105, 132, 100, 176, 146, 152

BlackZzzverrR [31]

Let list the data in ascending order 100, 100, 105, 113, 129, 132, 146, 152, 176, 200

There are ten numbers so the thirtieth percentile would be the .3 * 10

= 3rd number, ordered from smallest to largest.

so the third number, the thirtieth percentile, is 105

7 0

3 years ago

50 points please help!!

igomit [66]

I’m really not to sure sorry about that

8 0

3 years ago

Read 2 more answers

Find all solutions for a triangle with c=70 c=24 and a=25

Slav-nsk [51]

Answer:

see the attachments for the two solutions

Step-by-step explanation:

When the given angle is opposite the shorter of the given sides, there will generally be two solutions. The exception is the case where the triangle is a right triangle (the ratio of the given sides is equal to the sine of the given angle). If the given angle is opposite the longer of the given sides, there is only one solution.

When a side and its opposite angle are given, as here, the law of sines can be used to solve the triangle(s). When the given angle is included between two given sides, the law of cosines can be used to solve the (one) triangle.

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Here, the law of sines can be used to solve the triangle:

A = arcsin(a/c·sin(C)) = arcsin(25/24·sin(70°)) = 78.19° or 101.81°

B = 180° -70° -A = 31.81° or 8.19°

b = 24·sin(B)/sin(70°) = 13.46 or 3.64