Answer: P (3 or odd) = 1/2
Step-by-step explanation:
<u>Concept:</u>
Here, we need to know the idea of probability.
Probability is a measure of the likelihood of an event to occur.
If you are still confused, please refer to the attachment below for a graphical explanation.
<u>Solve:</u>
The numbers on a dice: 1, 2, 3, 4, 5, 6
Total numbers = 6
Number of 3 = 1
Number of Odd = 3
[Since 3 is one of the odd numbers and they are overlapping, so we should subtract 1 from the number of favorable outcomes]
P (3 or odd) = Favorable / Total (refer to the attachment)
P (3 or odd) = [(1 + 3) - 1] / 6
P (3 or odd) = (4 - 1) / 6
P (3 or odd) = 3 / 6
P (3 or odd) = 1/2
Hope this helps!! :)
Please let me know if you have any questions
Answer:
A) Reflect the graph of the first function across the x-axis, translate it pi/4 units to the left, and translate it 2 units up
Step-by-step explanation:
We are given
parent function as
and new function as
We can also write as new function as
We can see that
x-value is added by pi/4
So, it is shifted left side pi/4
and y-value is added by 2 units
so, it moves 2 units upward
we can see that
y-value is multiplied by -1
so, it reflected about x-axis
so,
A) Reflect the graph of the first function across the x-axis, translate it pi/4 units to the left, and translate it 2 units up
Answer:
Option (1)
Step-by-step explanation:
Equation of a quadratic function,
y = a(x - h)² + k
Here (h, k) is the vertex
From the picture attached,
Vertex of the parabola is (2, -5)
So the equation of the function will be,
y = a(x - 2)² - 5
Since, the graph passes through a point (0, 3)
3 = a(0 - 2)² - 5
3 = 4a - 5
4a = 8
a = 2
Equation will be,
y = 2(x - 2)² - 5
y = 2(x² - 4x + 4) - 5
y = 2x² - 8x + 8 - 5
y = 2x² - 8x + 3
But the shaded area is outside the graph so the quadratic inequality will be,
y ≤ 2x² - 8x + 3
Option (1) will be the answer.
Answer:
1,864
Step-by-step explanation:4 X 1398 would be 5592 then you divide it by 3 and get 1,864
Answer:
The slope intercept form of a line os :y=mx+b where m is the slope and b is the y-intercept.The y-intercept is always where the line intersects the y-axis,and will always appear as (0,b) in co-ordinate form .