Answer: 0.1499
Step-by-step explanation:
Given : The amounts a soft drink machine is designed to dispense for each drink are normally distributed, with mean
Standard deviation :
z-score :
For X = 11.5
For X = 11.6
Now, the probability that the drink is between 11.511.5 and 11.611.6 fluid ounces will be :-
Hence, the probability that the drink is between 11.511.5 and 11.611.6 fluid ounces =0.1499
Answer:
= 9y^4 -6y^3 -17y^2 -18y -10
Step-by-step explanation:
(3y^2 + 2y + 2) x (3y^2 – 4y – 5)
9y^4 - 12y^3 - 15y^2 + 6y^3 -8y^2 -10y +6y^2 -8y -10
= 9y^4 -6y^3 -17y^2 -18y -10
Step-by-step explanation:
So, in order to rationalize the denominator, we need to get rid of all radicals that are in the denominator.
Step 1: Multiply numerator and denominator by a radical that will get rid of the radical in the denominator. ...
Step 2: Make sure all radicals are simplified. ...
Step 3: Simplify the fraction if needed.
Answer:
The slope of the other line is -4/5
Step-by-step explanation:
In this question, we are asked to calculate the slope of a line which is perpendicular to the line ;
10x - 8y = -80
The first thing to do here is to write the equation in the standard form for a linear equation.
The standard form is y = mx + c where m refers to the slope and c refers to the y-intercept
Rewriting the equation we have;
8y-80 = 10x
8y = 10x + 80
Now divide the through by 8
We have;
y = 10x/8 + 10
Thus, comparing with y = mx + c , our m here is 10/8
Now for the two lines to be perpendicular, the product of their slope would be equals to -1
Let’s say the slopes are m1 and m2
mathematically m1m2 = -1
since m1 = 10/8
10m2/8 = -1
m2 = -8/10
m2 = -4/5
M= -3
b= 19
y= -3x +19
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