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Veronika [31]
3 years ago
10

All lines are straight or a triangle has four sides.

Mathematics
2 answers:
sveta [45]3 years ago
7 0

This is a disjunction, B, because it has 2 statements with an OR in the middle.

elena-s [515]3 years ago
4 0

Answer:

B. DISJUCTION

Step-by-step explanation:

You might be interested in
Suppose there are 200 lockers and 200 students. Kayla reasons that since there are 10
Rus_ich [418]

Answer:

Kayla's reasoning is not correct.

Step-by-step explanation:

The locker problem is as follows:

Imagine you are at a school that has student lockers. There are 200 lockers, all shut and unlocked, and 200 students. Suppose the first student goes along the row and opens every locker. The second student then goes along and shuts every other locker beginning with number 2. The third student changes the state of every third locker beginning with number 3. (If the locker is open the student shuts it, and if the locker is closed the student opens it). The fourth student changes the state of every fourth locker beginning with number 4. Imagine that this continues until the 200 students have followed the pattern with the 200 lockers. At the end, which lockers will be open and which will be closed? Why?

Solution:

So from the information we know that the first student goes along the row and opens every locker.

Then the second student shuts every other locker, i.e. locker numbers 2, 4, 6, 8, 10, ..., 196, 198 and 200.

Then the third students changes the state of every third locker, i.e. he/she closes an open locker and opens a closed locker.

So the open lockers are: 1, 5, 6, 12,...

Then the fourth students changes the state of every fourth locker.

So the open lockers are: 1, 4, 5, 6, 8,....

So, on we will observe that the open lockers have a perfect square number such as, 1, 4, 9, 16,....

Consider that the pattern is as follows:

Student 1 opens the locker, Student 2 closes it, Student 3 opens it, person 4 Student and so on.

This is because the square numbers always have an odd number of factors, which leads them to be open at the end.

Take any locker number, 40, for example. Its state (open or closed) is changed for every student whose number in line is a factor of the locker number.

Student      Locker 40 status

     1                    Open

     2                   Close

     4                   Open

     5                   Close

     8                   Open

     10                  Close

    20                  Open

    40                  Close

Like all other lockers numbered with non-square numbers, it ends up closed after all the students have gone through the line because it has an even number of factors.

Consider the locker number 16:

Student      Locker 16 status

     1                    Open

     2                   Close

     4                   Open

     8                   Close

     16                  Open

Thus, we can conclude that all the doors with square numbers on them will remain open because all square numbers have an odd number of factors and the doors with non-square numbers on them will remain close because they have even number of factors.

There will be a total of 14 lockers open.

1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169 and 196

So, if there are 10 lockers open in the first 100 lockers there must be only 4 other lockers opened in the next 100.

5 0
2 years ago
Jake and Seth put some money into their money boxes every week. The amount of money (y), in dollars, in their money boxes after
Maru [420]
1)  How many weeks will Jake and Seth be equal? set the equations equal to each other and solve for x:

5x + 85 = 20x + 40

45 = 15x

<u><em>x = 3 weeks</em></u>

2)  How much money will that be? plug x = 3 back into the equation to solve for y:

Jake:  5(3) + 85 = $100
Seth:  20(3) + 40 = $100

<u><em>answer is $100</em></u>
4 0
3 years ago
3. The weights of apples in a shipment from Al's Orchards are normally distributed with a mean of 142 grams and a standard devia
Kamila [148]
The z scores corresponding to the mean weight of a rotten apple relative to the apples from either orchard are, respectively,

\dfrac{142-156}9\approx-1.56

\dfrac{165-156}{13}\approx0.69

The mean for the standard normal distribution is 0, which means that z scores closer to 0 represent data points that are more likely to occur. Therefore it's reasonable to believe that rotten apples occur more often in shipments from Zippy's.
3 0
3 years ago
What are the first three terms of the Arithmetic Sequence a, = 15 - 2(n - 1)?
IgorC [24]

Answer:

C

Step-by-step explanation:

Plug 1, 2, and 3 into n and you'll get 15, 13, and 11 respectively

4 0
2 years ago
Line ef is tangent to circle g at point h. segment gh is a radius of circle g. what can be concluded about triangle fhg?
solong [7]
We know that

A line tangent to a circle is perpendicular to the radius to the point of tangency.
so
<span>Line ef is </span>perpendicular to the segment gh

hence
Triangle FHG is a right triangle
3 0
3 years ago
Read 2 more answers
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