Answer:
The correct answer is
Explanation:
We are given the points:
(0, 4)
(1, 5)
(2, 6)
(3, 7)
We can see that for each unit that x-coordinate grows, the y-coordinate also grows one.
This means that the slope of the line is m = 1
The first point given, tell us the y-intercept: (0, 4)
The slope-intercept form of a line is:
Where m is the slope and b the y-intercept.
For the points given:
m = 1
b = 4
Thus:
The tree diagram for the probability is shown below
P(Clay|Positive) is read 'Probability of Clay given the result is Positive'.
This is a case of conditional probability.
The formula for conditional probability is given as
P(Clay|Positive) = P(Clay∩Positive) ÷ P(Positive)
P(Clay∩Positive) = 0.21×0.48 = 0.1008
P(Positive) = P(Rock∩Positive) + P(Clay∩Positive) + P(Sand∩Positive)
P(Positive) = (0.53×0.53) + (0.21×0.48) + (0.26×0.75)
P(Positive) = 0.2809 + 0.1008 + 0.195
P(Positive) = 0.5767
Hence,
P(Clay|Positive) = 0.1008÷0.5767 = 0.175 (rounded to 3 decimal place)
Feel free to change it up a little.
Sam and his friend went out for pancakes. They ordered a huge stack of pancakes but the waitress didn't give them enough maple syrup. Sam got 1/5 of a cup of syrup and his friend got 1/2 of a cup. If they wanted a lot of syrup, they would have to combine their cup of syrup.
How much syrup would they have if they combined their cups of syrup?
Now solve.
First, find the common denominator
10 is the common denominator
1/5=2/10 1/2=5/10
2/10+5/10=7/10
Sam and his friend has 7/10 cups of syrup, now they have enough and are satisfied
The formula for volume of a sphere is V=4/3πr^3.
If we substitute 18 in for "r", we can work the problem out from there.
V = 4/3(3.14)(18)^3
V = 24,416.64 cubic units, so your answer will be C.
Hope that helps!
Answer:
y = 5
Step-by-step explanation:
Calculate the slope m using the slope formula
m = 
with (x₁, y₁ ) = (7, 5) and (x₂, y₂ ) = (- 9, 5)
m = 
= 
= 0
This means the line is horizontal and parallel to the x- axis with equation
y = c
where c is the value of the y- coordinates the line passes through.
The line passes through (7, 5) and (- 9, 5) with y- coordinates 5, thus
y = 5 ← equation of line
