Answer:
1. There is a <u><em>1/5</em></u> chance you will get a blue one from both bags.
2. There is a <u><em>3/32</em></u> chance you will get a 1 and then a 2.
3. There is a <u><em>5/12</em></u> chance of rolling a factor of 12 and then an odd number.
Step-by-step explanation:
<u><em>Question 1</em></u>
Add all the marbles together.
3 + 2 = 5
4 + 2 = 6
Make a fraction.
blue/all
Use it on the numbers.
3/5
2/6
Multiply them together.
6/30
Simplify.
1/5
There is a <u><em>1/5</em></u> chance you will get a blue one from both bags.
<u><em>Question 2</em></u>
Add all the numbers together.
There are 8.
Make the two crucial fractions.
ones/all
twos/all
Use them.
3/8
2/8
Multiply them together.
6/64
Simplify.
3/32
There is a <u><em>3/32</em></u> chance you will get a 1 and then a 2.
<u><em>Question 3</em></u>
Find the factors of 12.
1, 2, 3, 4, 6
Make a fraction.
factors/all
Use the fraction.
5/6
Find the odd numbers.
1, 3, 5
Make a fraction.
odd/all
Use the fraction.
3/6
Multiply them together.
15/36
Simplify.
5/12
There is a <u><em>5/12</em></u> chance of rolling a factor of 12 and then an odd number.
Step-by-step explanation:
First, find the degrees of freedom:
df = n − 1
df = 49
To find the p-value manually, use a t-score table. Find the row corresponding to 49 degrees of freedom. Then find the α column that corresponds to a t-score of 1.421. You'll find it's between α = 0.10 (t = 1.299) and α = 0.05 (t = 1.677). Interpolating, we get an approximate p-value of 0.084. For a more accurate answer, you'll need to use a calculator.
Given:
In the given circle O, BC is diameter, OA is radius, DC is a chord parallel to chord BA and 
.
To find:
The 
.
Solution:
If a transversal line intersect two parallel lines, then the alternate interior angles are congruent.
We have, DC is parallel to BA and BC is the transversal line.
[Alternate interior angles]
In triangle AOB, OA and OB are radii of the circle O. It means OA=OB and triangle AOB is an isosceles triangle.
We know that base angles of an isosceles triangle are congruent.
[Base angles of an isosceles triangle]
In triangle AOB,
Therefore, the measure of angle AOB is 120 degrees.
Answer:
y = - c/B + Ax/B
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
