Answer:
Divide the number of ice-cream bars into the number of people. Example: say you have 20 ice cream bars and 10 people you divide 20/10 and get 2 ice cream bars per person
Step-by-step explanation:
Are you also a simp for draco? :3
Range
The range measures the spread of the dataset by calculating the difference between the largest and the smallest element. In your case, marks range from 6 to 10, so the range is 10-6=4.
How many students
The frequency tells you how many students got each mark. So, we know that 5 students got a mark of 6, 4 students got a mark of 7, 7 students got a mark of 8, 10 students got a mark of 9, 4 students got a mark of 10.
This implies that, in total, we have
students.
Mean
The mean is given by the sum of the marks, divided by the number of students. We already observed how many students got each mark, so the sum of all marks will be a weighted sum, where each mark counts once per student:
Now we divide this sum by the number of students to get
So, the average mark is about 8.
Answer:
<em>Similar: First two shapes only</em>
Step-by-step explanation:
<u>Triangle Similarity Theorems
</u>
There are three triangle similarity theorems that specify under which conditions triangles are similar:
If two of the angles are congruent, the third angle is also congruent and the triangles are similar (AA theorem).
If the three sides are in the same proportion, the triangles are similar (SSS theorem).
If two sides are in the same proportion and the included angle is equal, the triangles are similar (SAS theorem).
The first pair of shapes are triangles that are both equilateral and therefore have all of its interior angles of 60°. The AAA theorem is valid and the triangles are similar.
The second pair of shapes are parallelograms. The lengths are in the proportion 6/4=1,5 and the widths are in proportion 3/2=1.5, thus the shapes are also similar.
The third pair of shapes are triangles whose interior acute angles are not congruent. These triangles are not similar
One way to look at it would be to solve for y - if what x is multiplied by is the same for both sides, they're parallel. If one is the negative reciprocal (e.g. for 5/6 the reciprocal is 6/5 and the negative reciprocal is therefore -6/5) of another, they're perpendicular and if they're neither they're neither.Solving for y in x+5y=4, we can subtract x from both sides to get 5y=-x+4. Next, we can divide both sides by 5 to get -x/5+4=y. Since -x/5=(-1/5)(x) and -1/5 is not the negative reciprocal of 5/6 as established earlier, they are neither
Answer:
Step-by-step explanation:
And
And
So the answer to the equation is 18