Option B is the correct answer
Step-by-step explanation:
When the sample space is represented in the form of tree diagram, the leaf nodes will represent the outcomes.
As there are two sides to a coin and two flips are being done,
Total outcomes will be: 2^2 = 4
We can see that option B has 4 leaf nodes and the outcomes are: {HH, HT, TH, TT}
So,
Option B is the correct answer
Keywords: Sample space, Events
Learn more about sample space at:
#LearnwithBrainly
Answer:
1 1/4 liters of paint
Step-by-step explanation:
Clare is painting some doors that are all the same size. She used 2 liters of paint to cover 1LaTeX: \frac{3}{5}3 5 doors. How many liters of paint are needed for 1 door?
From the above question, we can deduce that:
2 liters of paint covers 1 3/5 doors
Hence:
1 3/5 doors = 2 liters of paint
1 door = x liters of paint
Cross Multiply
1 3/5 doors × x liters = 2 liters × 1 door
x liters = 2 liters × 1 door/ 1 3/5 doors
x liters = 2 ÷ 1 3/5
x liters = 2 ÷ 8/5
x liters = 2 × 5/8
x liters = 5/4 liters
x liters = 1 1/4 liters of paint
Hence: 1 1/4 liters of paint is needed for 1 door
Fro every 4 mystery books checked out, 3 Nonfiction books are checked out.
The piece-wise linear functions can be written as follows:
.
.
.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
For x equal or less than -2, the line passes through (-3,-3) and (-2,-2), hence the rule is:
.
For x greater than -2 up to 1, the y-intercept is of -7, and the line also passes through (1,-8), hence the rule is:
.
For x greater than 1, the function goes through (2,-5) and (3,-3), hence the slope is:
m = (-3 - (-5))(3 - 2) = 2.
The rule is:
y = 2x + b.
When x = 2, y = -5, hence:
-5 = 2(2) + b
b = -9.
Hence:
.
More can be learned about linear functions at brainly.com/question/24808124
#SPJ1
Answer:
800
Step-by-step explanation:
20 x40 =800
x ×y
abcdefghijklmnopqurstuvwxyz