Answer:
Option b.
Step-by-step explanation:
We can easily solve this problem by using a graphing calculator or plotting tool.
The function is
h(t) = cos (t +1)
Please, see attached picture below.
By looking at the picture, we can tell that the amplitude is equal to 1
The function has a period of T = 2π
We can see there is no vertical shift.
It has a phase shift of +1. (Which moves the graph to the left)
Answer:
Option b.
Since the sum of the probabilities of all possible outcomes must be 100%, we can deduce the following:
- Cooking in under 20 minutes: 10%
- Cooking between 20 and 30 minutes: 85%
- Cooking in more than 30 minutes: 5%
In fact, the probabilities of cooking in less than 20 or more than 30 sum up to 15%, which means that the remaining outcome (i.e. cooking time between 20 and 30) must complete this probability to 15, and in fact 15+85=100.
That being said, all three answers are simply a combination of these three scenarios: let C be the cooking time, for aesthetic reasons:
Answer:
5 of the bouquets are Daises.
Step-by-step explanation:
25 in all. 4/5 are Roses.
4/5 = Rose Bouquets 1/5 = Daisy Bouquets
4/5 = 20/25
1/5 = 5/25
So 5 are Daises
Answer:
78%
Step-by-step explanation:
% increase = Increase ÷ Original Number × 100
% increase= 35.8/46 *100= 77.82=78 %
Answer:
0.677
Step-by-step explanation:Add up the values in the plan A column. There are 10+12+16 = 38 people who prefer plan A.
Add up the values in the "40-49" row to find that 16+8 = 24 people are ages 40 to 49.
We have 38+24-16 = 46 people who either prefer plan A, are aged 40-49, or fit both descriptions. I subtracted off 16 because those 16 people were counted twice when adding 38 and 24.
An alternative way to get this value of 46 is to add up everything that is in column1 or row 3 (or both). So that would get 10+12+16+8 = 46.
Now add up everything in the table to find out how many people were surveyed total. That would be 10+7+12+15+16+8 = 68 people overall.
The probability of someone liking plan A, or being age 40-49, or both is 46/68 = 0.6765 approximately. Rounding to 3 decimal places gives 0.677
