<span>5d^2 + 4d - 3 - (3d^2 - 2d + 4)
=</span>5d^2 + 4d - 3 - 3d^2 + 2d - 4
= 2d^2 + 6d - 7
Answer:
Option 4: 0.554
Step-by-step explanation:
As we can see that the intervals and their frequencies are given.
We have to calculate the probability of students' score falling between 70 and 89. It will use the frequency of both intervals 70-79 and 80-89.
So, combined scores of both intervals are:
172+105 = 277
Now to find the probability
= 277/500
=0.554
So option no 4 is the correct answer ..
Answer:
The initial population was 2810
The bacterial population after 5 hours will be 92335548
Step-by-step explanation:
The bacterial population growth formula is:

where P is the population after time t,
is the starting population, i.e. when t = 0, r is the rate of growth in % and t is time in hours
Data: The doubling period of a bacterial population is 20 minutes (1/3 hour). Replacing this information in the formula we get:





Data: At time t = 100 minutes (5/3 hours), the bacterial population was 90000. Replacing this information in the formula we get:



Data: the initial population got above and t = 5 hours. Replacing this information in the formula we get:


It is known that 6 things can get arranged in 720 ways, let's look at the math of this.
There are six things so:
1×2
2×3
6×4
24×5
120×6
720
Answer:
Linear Pair:
∠ 1 and ∠ 2
Vertical Angles:
∠ 1 and ∠ 3
Supplementary Angles:
∠ 7 and ∠ 6
Step-by-step explanation:
Linear Pair:
A linear pair of angles is formed when two lines intersect.
Two angles are said to be linear if they are adjacent angles formed by two intersecting lines.
The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees.
Example
∠ 1 and ∠ 2 ∠ 8 and ∠ 5 ,etc
Vertical Angles:
The angles opposite each other when two lines cross.
They are always equal.
Example
∠ 1 and ∠ 3 ∠ 8 and ∠ 6 ,etc
Supplementary Angles:
Two Angles are Supplementary when they add up to 180 degrees.
Examples two angles (140° and 40°)
All Linear pair are Supplementary angles
Example
∠ 7 and ∠ 6 ∠ 8 and ∠ 5 ,etc