Answer:
Infinitely many triangles.
Step-by-step explanation:
Given the lengths of two sides are 8 inches and 10 inches.
Let's assume third side = x inches.
Using the Triangle Inequalities given as follows:-
1. a+b > c,
2. b+c > a,
3. c+a > b.
Using the lengths given in the problem, we can write:-
1. x+8 > 10 ⇔ x > 10-8 ⇔ x > 2.
2. x+10 > 8 ⇔ x > 8-10 ⇔ x > -2.
3. 8+10 > x ⇔ x < 18.
So, the solution set is 2 < x < 18. It means third side can take any value in interval (2, 18).
Hence, there are infinitely many triangles.
Answer:
(A) There should have been 5 outcomes of HT
(B) The experimental probability is greater than the theoretical probability of HT.
Step-by-step explanation:
Given
-- Sample Space
--- Sample Size
Solving (a); theoretical outcome of HT in 20 tosses
First, calculate the theoretical probability of HT
Multiply this by the number of tosses
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Solving (b); experimental probability of HT
Here, we make use of the table
---- Experimental Probability
In (a), the theoretical probability is:
---- Experimental Probability
By comparison;
Answer:
160 total beads
Step-by-step explanation:
so if 1/4 of the beads are red, then 3/4 of them are not.....so 3/4 is the remainder of beads.....and 3/5 of the remainder are yellow....so 3/5 of 3/4 =
3/5 * 3/4 = 9/20...so 9/20 are yellow.....and the rest (48) are blue.
1/4 + 9/20 = 5/20 + 9/20 = 14/20 reduces to 7/10...so 7/10 of the beads are red and yellow
so if 7/10 of the beads are red and yellow, then 3/10 are blue
3/10 of what number is 48
3/10x = 48
x = 48 * 10/3
x = 480/3
x = 160
let me check it..
1/4 are red......160 total beads.....so red beads = (1/4 * 160) = 160/4 = 40
3/5 of the remainder is yellow.....so 3/5 of (160 - 40) = 3/5(120) = 72 yellow
and then u have 48 blue...
40 + 72 + 48 = 160
so there are 160 total beads.......40 red, 72 yellow, and 48 blue <===
Answer:
kkkkkkkiooooooooooooooooooooooooooooooooooooooooooooooooooo
Step-by-step explanation:
kkkkkkkkkkkiiiiiiiiiiiiiiiiiiiiiiiioooooooooooooooooo
What you're seeing here is 12 being multiplied by its reciprocal. 12 * 1/12 = 1. This is an example of a multiplicative inverse; a multiplicative inverse is when you multiply a number by its reciprocal (1 over the number).
