Considering the given probability distributions, distribution D is valid.
<h3>When a probability distribution is valid?</h3>
A probability distribution is valid if:
- There are no negative probabilities.
- The sum of all probabilities is of 1.
In this problem, only distribution D has a sum of 1, hence it is the only valid distribution.
More can be learned about probability distributions at brainly.com/question/23670007
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Answer:
24 + 40 = 8*(3 + 5)
Step-by-step explanation:
The factors of:
24: 1, 2, 3, 4, 6, 8, 12, 14
40: 1, 2, 4, 5, 8, 10, 20, 40
the prime factors:
24: 2 * 2 * 2 * 3
40: 2 * 2 * 2 * 5
The most shared factors are (2*2*2=8)
Factoring out 8 we have:
24 + 40 = 8*(3 + 5)
7.5 it's is hat answer or if I'm wrong use photomath it's the best app
Answer:
Congurent triangles are those which map onto them selves perfectly. This means they share the same angle measurements and side lengths. Therefor we can figure out the side lengths by using the information in both triangles.
AD=5x+11
in the congurent triangle, the corresponding side equals:
CM=7x-3
CM and AD are congurent triangles meaning their sidelengths equal the same. Therefore...
5x+11=7x-3
Now we just solve to find the length of AD and CM (equal lengths)
5x+11=7x-3
11=2x-3
14=2x
7=x
x=7
If x=7 then we can plug it in for AD to find the side length.
5(7)+11=46
Notice that CM equals the same 7(7)-3=46
This is because... they are congruent triangles.
These rules also apply for all angle measurements of congruent triangles:
The m<v is equal to the meaasure of E (corresponding angles in congrurent triangles are equal)
We already astablished what x was (x=7) meaning if we find the measure of E then we have the measure of V sicne they are corresponding angles in a congrurent triangle.
(6x7+1)=43°
therefore the m<v is equal to 43°
46 and 43° is your answer
Step-by-step explanation:
Answer:
0.0455
Step-by-step explanation:
<u>The formula for calculator probability is
</u>
# of favorable outcomes / # of possible outcomes
<u>The total number of marbles in the bag: </u>
7+3+2=12
<u>Probability of the first marble being blue:</u>
3/12
<u>Probability of the second marble being blue:</u>
2/11 -- 2 because only 2 blue marbles left after drawing the first one out, 11 because after taking the first marble out, we have 11 marbles left in the bag
<u>Formula for both events happening:</u>
p(A and B) = p(A) * p(B)
In this problem,
A = first one blue
B = second one blue
<u>Probability that if two marbles are drawn out of the bag, both are blue:</u>
3/12 x 2/11 = 0.045454
<u>Rounded answer:</u>
0.0455 (or 4.55%)
