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Nata [24]
3 years ago
7

Lucia has collected a set of data and calculated the mode to be 31. The set contains 87 numbers, but Lucia gets an email telling

her to add the following 6 numbers to her data: {23, 26, 28, 30, 31, 40}
Mathematics
1 answer:
miskamm [114]3 years ago
6 0
The problem seems to be lacking a question. But looking for the same problem from another source, we're looking for the new mode after adding the 6 numbers into the data set. 

Mode, in its most basic definition, is the number or data that is most repeated in a data set. For example, in {1, 1, 1, 2, 2, 3}, the most repeated number is 1. Hence, the mode is 1. 

Now, going back to Lucia's problem. Prior to adding the 6 numbers, the mode of the set of 87 numbers is already 31. That means 31 is the most repeated number in the set. Checking the numbers that were added, since another count for 31 is to be added, even if the number of 23, 26, 28, and 40 are increased by 1. 31 will still be the most repeated number in the set. Hence, the mode is still 31.

Answer: 31
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3 years ago
The measure of the vertex angle of an isoceles triangle is one- fourth that of a base angle
horsena [70]

Answer:

Base angle = 72

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Step-by-step explanation:

Measure of the base angle = x. But there are two of them. (Definition of isosceles).  Keep that in mind.

The vertex angle is 1/4 of one of the base angles. That means that the vertex is 1/4 x

All three angles = 180 degrees.

So we have x + x + x/4 = 180 degrees.

change 1/4x to 0.25x x since 1/4 = 0.25

Equation

x + x + 0.25 = 180

2.5x  = 180

Solution

2.5x = 180                      Divide by 2.5 on both sides

2.5x/2.5 = 180/2.5

x = 72

Answer

That means that each base angle = 72 degrees

The Vertex Angle = 72/4 = 18

8 0
3 years ago
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valentinak56 [21]

Answer:

A .cos(x)<1

Step-by-step explanation:

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x cannot be leas than 0. According to the range not value, 0≤x which is equivalent to x≥0. Thus means otvis either x = 0 or x> 0.

For the second option

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This inequality also has solution within the range 0 ≤ x ≤ 2pi since 0 falls within the range of values.

For the inequality csc(x)<1

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sinx>1

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This inequality also has solution within the range 0 ≤ x ≤ 2pi since π/2 falls within the range of values

For the inequality csc(x/2)<1

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sin(x/2)> 1

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This value of x also has a solution within the range.

Therefore option A is the only inequality that does not have a solution with the range.

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3 years ago
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Answer:

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Step-by-step explanation:

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