Answer:
Length of XM is 5.5 units.
Step-by-step explanation:
Given △XYZ where MZ is the angle bisector of ∠YZX . we have to find the length of XM.
A triangle with vertices X, Y, and Z. Side XZ is base. A line segment drawn from Z to M bisects ∠YZX into two parts ∠YZM and ∠XZM.
YZ=7 units, XZ=11 units and YM=3.5 units
By angle bisector theorem which states that an angle bisector of an angle divides the opposite side in two segments that are proportional to the another two sides of the triangle.
Hence,
⇒
⇒ MX=5.5 units.
Hence, length of XM is 5.5 units.
Among choice above the one statement that use the law of syllogism is letter C which is "If the weather is wet, Nathan can stop at the ice cream shop". <span>The </span>law of syllogism<span> takes two conditional statements and forms a conclusion by combining the hypothesis of one statement with the conclusion of another. </span>
So first divide by 10 to get 32.2 then multiply by the remaining which is 3/10 so 3. 32.2 times 3 is 96.9 round up 97 add to 322 to get 419.
Your welcome
Answer:
14.4
Explenation
We just use the pythagorus theorum
a^2+b^2=c^2
8^2+12^2=c^2
208=c^2
sqrt208=c
14.4=c
so the answer is c
thank you, hope it helps :)
Using the binomial distribution, it is found that the probabilities are given as follows:
a) 0.3185 = 31.85%.
b) 0.7998 = 79.98%.
c) 0.5187 = 51.87%.
<h3>What is the binomial distribution formula?</h3>
The formula is:
The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
In this problem, the parameters are given as follows:
n = 5, p = 0.51.
Item a:
The probability is P(X = 3), hence:
Item b:
The probability is:
P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)
Then:
So:
P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0282 + 0.1470 + 0.3061 + 0.3185 = 0.7998.
Item c:
The probability is:
In which:
P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0282 + 0.1470 + 0.3061 = 0.4813.
Then:
More can be learned about the binomial distribution at brainly.com/question/24863377
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