Answer:
10.315
Step-by-step explanation:
Answer: (-5,4)
When you reflect a point across the line y = x, the x-coordinate and y-coordinate change places. If you reflect over the line y = -x, the x-coordinate and y-coordinate change places and are negated (the signs are changed). the line y = x is the point (y, x).
Answer:
This is 0.14 to the nearest hundredth
Step-by-step explanation:
Firstly we list the parameters;
Drive to school = 40
Take the bus = 50
Walk = 10
Sophomore = 30
Junior = 35
Senior = 35
Total number of students in sample is 100
Let W be the event that a student walked to school
So P(w) = 10/100 = 0.1
Let S be the event that a student is a senior
P(S) = 35/100 = 0.35
The probability we want to calculate can be said to be;
Probability that a student walked to school given that he is a senior
This can be represented and calculated as follows;
P( w| s) = P( w n s) / P(s)
w n s is the probability that a student walked to school and he is a senior
We need to know the number of seniors who walked to school
From the table, this is 5/100 = 0.05
So the Conditional probability is as follows;
P(W | S ) = 0.05/0.35 = 0.1429
To the nearest hundredth, that is 0.14
Answer:
B. -pi/6
Step-by-step explanation:
Answer:
The jumbo box can hold 17,550 toothpicks
Step-by-step explanation:
The volume of the box can be calculated multiplying all of its three dimensions.
If each dimension of the box is tripled, the new volume will be 3*3*3 times higher, so it will be 27 times higher the old volume.
If in the old volume there are 650 toothpicks, the new volume can have 27 times more, so the number of toothpicks the new box can hold is:
27 * 650 = 17550
The jumbo box can hold 17,550 toothpicks.
