[x] [y]
2 answers:
Answer:
B) x = 1, y = 46/3
Step-by-step explanation:
The general equation for a straight line is
y = mx + b
Step 1. Find the <em>slope of the line </em>
The slope m is
m =(y₂ -y₁)/(x₂/x₁)
Two of your points are (0, 2) and (3, 7).
m = (7 – 2)/(3 – 0)
m = 5/3
Step 2. Find the <em>equation of the line</em>
Use point (0, 2).
2 = ⁵/₃ × 0 + b
2 = 0 + b
b = 2
The equation of the line is
y = ⁵/₃x + 2
===============
Step 3.Find the coordinates of the <em>first missing point</em>.
(x, 11/3)
11/3 = ⁵/₃x + 2 Multiply each side by 3
11 = 5x + 6 Subtract 6 from each side
5 = 5x Divide each side by 5
x = 1
The missing value is x = 1.
===============
Step 4. Find the coordinates of the <em>second missing point </em>
(8, y)
y = ⁵/₃ × 8 + 2 Multiply each side by 3
3y = 40 + 6 Combine like terms
3y = 46 Divide each side by 3
y = 46/3
The missing value is y = 46/3.
Your three known points give the green line in the graph below.
The orange dot represents the first missing point at (1, 11/3).
The red dot represents the second missing point at (8, 46/3).
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Answer:
Step-by-step explanation:
<u><em>Using Pythagorean Theorem:</em></u>
=>
Where c is hypotenuse, a is base and b is perpendicular and ( a, b = 4)
=>
=>
=>
Taking sqrt on both sides
=> c = 5.7 units
Answer:
Step-by-step explanation:
Previous concepts
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
Solution to the problem
Let X the random variable of interest, on this case we now that:
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
The mean for the binomial distribution is given by:
And the variance is given by:
And the deviation is just the square root of the variance so we got: