(a) 1
Explanation:
The mode of the data set is the number that occurs most frequently in the set. To easily find the mode. put the numbers in order from least to greatest and count how many times each number occurs. The number that occurs the most is the mode.
If 5 different numbers are there in a data set then, the mode would be 1 as a number is present minimum one number of times.
Answer:
Step-by-step explanation:
The two base angles in each triangle are equal. (The triangle is isoceles and the property used is angles opposite equal sides are equal).
Now the tricky part. The peak angles are also equal. That's because both peak angles are made equal by Peak angle + 2*base angle = 180
Peak angle = 180 - 2*base angle
Therefore the triangles are congruent by SAS.
I suppose you could get them equal by taking one of the base angles (all 4 are equal to each other) and the peak angles and claim equality by ASA, but it seems a little bit tortuous to me.
The <u>different</u> selections of<u> one</u> meat and <u>one</u> vegetable are possible are 18 selections.
Since the Hickory Stick has a selection of 3 meats and 6 vegetables, the number of ways we can select <u>one </u>meat out of 3 is ³C₁ = 3.
Also, the number of ways we can select <u>one </u>vegetable out of 6 is ⁶C₁ = 6.
So, the total number of selections of <u>one</u> meat and <u>one</u> vegetable is ³C₁ × ⁶C₁ = 3 × 6
= 18 selections
So, the <u>different</u> selections of<u> one</u> meat and <u>one</u> vegetable are possible are 18 selections.
Learn more about combination here:
brainly.com/question/19341024
The architect's puzzle is to build as many different houses as possible from four cubes given that the cubes must be placed face to face. Orientation on the 'block of land' determines whether two houses are the same. If a house could be rotated on the block to fit the shape of another house, then the two are the same.