Option A:
The probability that Everett and Finley end up with an even number and a blue disk is
.
Solution:
Given data:
Everett is rolling a block with numbers = {1, 2, 3, 4, 5, 6}
Finley is drawing one disk from basket with colors = {blue, red, yellow}
Total number of numbers = 6
Total number of colors = 3





Divide numerator and denominator by the common factor 3.


Option A is the correct answer.
Hence the probability that Everett and Finley end up with an even number and a blue disk is
.
Answer:
domain is [-3,3] & range is [-3,3]
Step-by-step explanation:
When given a graph of a circle and ask to solve range and domain....
First: <u>find the four points</u> of the circle:
(-3,0);(3,0);(0,-3);(0,3) . <em> **Best to plot these points on this graph to understand where the points are and what we are looking at.</em>
Second: Look for <u>range(vertical directions/left and right) and domain(horizontal direction/up and down)</u>.
domain: x-values, first coordinate (-3,0) & (3,0)
range: y-values, second coordinate (0,-3);(0,3)
Third: take what you know and solve domain and range*include bracket to show domain and range
domain is [-3,3] & range is [-3,3]
The expansion of the binomial:
( 2 x² + y² ) ^4 =

=
Answer:
- <u>3 </u><u>and</u><u> 17</u> are required integers
Step-by-step explanation:
- Let one integer be x
- And other integer be y
x = 4y + 5
xy = 51
<u>According to </u><u>question </u><u>:</u>
➞ (4y + 5)y = 51
➞ 4y² + 5y = 51
➞ 4y² + 5y - 51 = 0
➞ 4y² + 17y - 12y - 51 = 0
➞ y (4y + 17) - 3(4y + 17) = 0
➞ (y - 3)(4y - 17) = 0
➞ y - 3 = 0
➞ <u>y = 3</u>
Hence,
➞ <u>y = 3</u>
➞ x = 4y + 5
➞ x = 4 (3) + 5
➞ x = 12 + 5
➞<u> </u><u>x = 17</u>
∴ The required integers are <u>3 and 17</u>
Answer:
Divisible by 2, 5 AND 10.
Step-by-step explanation:
72590÷2=36295
72590÷5=14518
72590÷10=7259