Answer:
Step-by-step explanation:
Slope-intercept form: y = mx + b
Slope formula: 
Given points: (3, -7), (7, 2)
(3, -7) = (x1, y1)
(7, 2) = (x2, y2)
To write the equation in slope-intercept form, we need to find the slope(m) and the y-intercept(b) of the equation.
First, let's find the slope. To do this, input the given points into the slope formula:
Simplify:
2 - (-7) = 2 + 7 = 9
7 - 3 = 4
The slope is .
To find the y-intercept, input the slope and one of the given points(in this example I'll use point (7, 2)) into the equation and solve for b:
The y-intercept is 
.
Now that we know the slope and the y-intercept, we can write the equation:
Answer:
x = 36
Step-by-step explanation:
<em>A triangle has 180°</em>.
That <em>third angle is 360 - 8x</em>.
So the equation is: <em>180 = 2x + x + 360 - 8x</em>.
Simplify: 180 = -5x + 360
Add/Subtract: 5x = 180
Divide: x = 36.
Answer:
The heaviest 5% of fruits weigh more than 747.81 grams.
Step-by-step explanation:
We are given that a particular fruit's weights are normally distributed, with a mean of 733 grams and a standard deviation of 9 grams.
Let X = <u><em>weights of the fruits</em></u>
The z-score probability distribution for the normal distribution is given by;
Z = 
~ N(0,1)
where, 
= population mean weight = 733 grams
= standard deviation = 9 grams
Now, we have to find that heaviest 5% of fruits weigh more than how many grams, that means;
P(X > x) = 0.05 {where x is the required weight}
P( > 
) = 0.05
P(Z > ) = 0.05
In the z table the critical value of z that represents the top 5% of the area is given as 1.645, that means;
x = 747.81 grams
Hence, the heaviest 5% of fruits weigh more than 747.81 grams.
Angle 12 and Angle 10 are vertical angles.
