Answer:
The line equation is given as: 3 y = 2 x - 9
Step-by-step explanation:
Here, Y intercept is at point ( 0.-3)
So, at x = 0, y = -3
or, C = -3
Also, the point on the equation line is (x,y) = (-9,-9)
Now, by <u>SLOPE INTERCEPT FORM</u> of a line equation,we get:
y = m x + C : m = slope of line ......... (1)
So, substituting the values of C and (x,y) , we get:
-9 = m (-9) + (-3)
or, -9 + 3 = - 9 m
or, m = -6/-9 = 2/3
or, m = 2/3
Now, substitute the value of m back in to the line equation (1)
Hence, the line equation is given as: 3 y = 2 x - 9.
Are there any answer choices??
Answer:
The weight of 12 tennis balls = 691. 2 grams
Step-by-step explanation:
The weight of each tennis ball = 57.6 grams
So, the weight of 12 balls = 12 x ( weight of 1 ball)
= 12 x 57.6 grams
= 691.2 grams
⇒12 balls weigh 691.2 grams
Hence, the weight of 12 tennis balls = 691. 2 grams
Answer:
A) 1.96%
Step-by-step explanation:
You need to know the band between 5.48 g and 5.82 g, the mean is 5.67 g and the standard deviation is .0.070 g, with that information you can calculate the percentage to the left of the mean and the percentage to the right of the mean and add them.
To know its percentage you have to calculate the z score for both values.
x is the value being evaluated
μ is the mean
σ is the standard deviation
For 5.48 g:
and is equivalent to 0.0034
For 5.82 g:
and is equivalent to 0.9838
Those numbers mean that the percentage below 5.48 is equivalent to the 0.34% of the values and the percentage below 5.82 is equivalent to 98.38% of the values. Then the percentage rejected is the percentage above 5.82, 100 - 98.38 = 1.62% plus the percentage below 5.48, 0.34%.
Percentage rejected = 1.62% + 0.34% = 1.96%
The first choice is correct.
in the first function f(x)=3x-2, the smallest value is when x=-1, y=-5, the largest value is when x=0, y=-2, but it doesn't include -2 because there is no = sign.
in the second function, the smallest value of y is when x=0, y=3, the largest value is y=13, but it doesn't include y=13
