Answer:
Slope = 1/3
Step-by-step explanation:
<em>Step 1: Define general form of equation of line</em>
An equation of a straight line on two-dimensional plane could be represented in form of: y = Mx + b, with M is slope and b is y-intercept
<em>Step 2: Set up the system to solve for slope M of equation of line</em>
That equation passes 2 points, which are represented in form of (x, y), (3, 7) and (6, 8).
Substitute these values of x and y into the original equation in step 1:
7 = 3M + b
8 = 6M + b
<em>Step 3: Solve the system of equations in step 2 for M</em>
Subtract 1st equation from 2nd equation:
8 - 7 = 6M - 3M + b - b
Simplify both sides:
1 = 3M
Divide both sides by 3:
=> M = 1/3
Hope this helps!
:)
Answer: 0.5
Step-by-step explanation:
Formula for binomial probability :-
, where P(x) is the probability of getting success in x trials , n is the total number of trials and p is the probability of getting success in each trial.
Given : The number of trails : n=7
The probability of success for each trial : p=0.5
Now, the probability that the number x of correct answers is fewer than 4 will be :-
Hence, the probability that the number x of correct answers is fewer than 4 = 0.5
Answer:
It is important because it allows you to calculate the surface area of a trapezoidal prism
Step-by-step explanation:
The factored form for this question is (5x-1)(x-5)
5 of the planets are earth like and 2 are mars like
5 * 2 = 10
<u>1 * 2 = 2</u>
Total 12
4 earth like and 4 mars like
Earth = 4*2 = 8
<u>Mars = 4 * 1 = 4</u>
Total 12
3 Like Earth 6 like mars
Earth 3 * 2 = 6
<u>Mars 6 * 1 = 6</u>
Total 12
Those answers are the only ones possible.
