0.1 repeating is 1/9 as a fraction
Answer:
Less than 30: 26
Less than 40: 62
Less than 50: 75
Less than 60: 78
Less than 70: 85
Less than 80: 86
Less than 90: 88
Step-by-step explanation:
We have this frequency information:
20-29: 26
30-39: 36
40-49: 13
50-59: 3
60-69: 7
70-79: 1
80-89: 2
We can add each category and have a cumulative frequency table
<30: 26
<40: 26+36 = 62
<50: 62 +13 = 75
<60: 75 + 3 = 78
<70: 78 + 7 = 85
<80: 85 + 1 = 86
<90: 86 + 2 = 88
Answer:
There are 3120 chocolate eggs.
Step-by-step explanation:
We are given the following in the question:
Total number of eggs = 4680
Number f chocolate eggs =
the number of real eggs
We have to find the number of chocolate eggs.
Number of chocolate eggs =
Thus, there are 3120 chocolate eggs.
Keywords:
<em>Quadratic equation, vertex shape, parabola
</em>
For this case we have to rewrite the given quadratic equation, in the form of vertex, for this, we must take into account that a quadratic equation of the form , can be rewritten in the form of vertex as: Vertice is the lowest or highest point of the parabola. The vertex is given by: . So, let: , to find the equation in the form of vertex, we follow the steps below:
Step 1:
We take the common factor to the first two terms of the equation:
Step 2:
We work square:
We divide the coefficient of the term by 2 and its result is squared, that is:
So, we have:
Step 3:
We simplify:
Step 4:
We factor:
Thus,
Answer:
The equation in the form of vertex is: , and the vertex is