ANSWER
-9
EXPLANATION
We want to evaluate the line integral:

The parametric equations for the line segment from (2,1,2) to (6,7,-5) is



This implies that:



Our integral now becomes:

We simplify to get:

This integral evaluates to:

Answer:
0.486
Step-by-step explanation:
Given that a box contains recipes from five categories.
The following table shows the possible categories and the associated probability for a recipe randomly chosen.
Genre Probability
Main Dish 0.421
Appetizer 0.210
Desert 0.103
Salad 0.173
Vegetable 0.093
This is a proper probability distribution function because total prob =1 and also each prob lies between 0 and 1.
The probability of randomly selecting anything but a vegetable or a main dish category
= Prob of selecting appetizer or dessert or salad
= 
This is a right angled triangle. one of the angles is 90 degrees.
angles of a triangle add up to 180
angle x :
180-90-24=66
Answer:
0.75
Step-by-step explanation:
Z-score tells the no. of standard deviations a data point is from the mean.
the formula for z score is given by
z-score= (data value - mean) / standard deviation
Given:
mean=44
standard deviation= 8
data point=50
putting the values of mean(44), standard deviation(8) and given data value(50) in the above equation
z-score= (50-44)/8
= 6/8
=0.75 !
Answer : 3m^6-12m^5-14m^4+15m^3-12m^2-6