Answer:
The problem is about cases of diabetes in old people through months.
The variable is descrete , because it doesn't admit decimal numbers, it represents people, and people are whole numbers.
The frequency table would be
<h3> Months People</h3>
January 24
February 30
March 20
April 18
May 28
June 12
The total number of people is 132.
The mean would be the total number of people divided by the six months.
Therefore, the mean is 22 people per month.
Remember that the median is the value at the center of the data set, which is between March and April, so
Therefore, the mean is 19.
The third statistical value is determined by the major frequency. So, the data that repeats the most is February, which means that month encloses the majority of people.
Answer:
The number of possible color combinations that she can make = 6
Step-by-step explanation:
The number of available colors = 3
The question states that Maria only uses a color on each shape at a time,
The number of possible color combinations that she can make = 3!
n! = n*(n -1)*(n-2)*......*1
3! = 3 * 2 * 1
3! = 6 combinations
The number of possible color combinations that she can make = 6
Answer:
true
Step-by-step explanation:
Answer:
k(x) = -|x + 2| + 3
Step-by-step explanation:
Parent function of the absolute function given in the graph,
f(x) = |x|
1). Function 'g' is reflected across the x-axis, then the image will be,
h(x) = -f(x) = -|x|
2). Function 'h' the shifted 2 units left and 3 units upwards, image function will be,
k(x) = h(x + 2) + 3
k(x) = -|x + 2| + 3
Therefore, the transformed function is k(x) = -|x + 2| + 3.
Answer:
The vertex of the parabola = (-7 , -4)
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given that the parabola y = 4 x² + 56 x +192
y = 4 (x² + 14 x + 48 )
y = 4 ( x² + 2 × 7 (x) + 49-1)
y = 4 ( x² + 2 × 7 (x) + 49)- 4
we apply the formula
(a +b)² = a² + 2ab + b²
y = 4 ( x + 7 )² - 4
<u>Step(ii):-</u>
<em>The general form of the parabola in algebraically</em>
<em> y = a ( x-h)² +k</em>
<em>The equation </em>
<em> y = 4 ( x + 7 )² - 4</em>
y = 4 ( x-(-7))² - 4
The vertex of the parabola (h,k) = (-7 , -4)
<u>Final answer:-</u>
The vertex of the parabola = (-7 , -4)
