Answer:
The Proof is below.
Step-by-step explanation:
Given:
To Prove:
Proof:
In ΔLPM and ΔNPM
……….{Given}
……….{Given}
……….{Reflexive Property}
ΔLPM ≅ ΔNPM ….{ By Side-Side-Side congruence test}
∴ ∠LMP ≅ ∠NMP ...{Corresponding parts of congruent triangles (c.p.c.t).}.....( 1 )
Now In ΔLMQ and ΔNMQ
……….{Given}
∠LMQ ≅ ∠NMQ ..........{From 1 above}
……….{Reflexive Property}
ΔLMQ ≅ ΔNMQ ....{ By Side-Angle-Side Congruence test}
∴ ...{Corresponding parts of congruent triangles (c.p.c.t).}.....Proved
Answer:
The probability that she gets all 7 questions correct is 0.0078.
Step-by-step explanation:
We are given that Karri takes a 7 question true-false test and guess on every question.
The above situation can be represented through binomial distribution;
where, n = number of samples (trials) taken = 7 question
r = number of success = all 7 questions correct
p = probability of success which in our question is probability that
question is correct, i.e. p = 50%
Let X = <u><em>Number of question that are correct</em></u>
So, X ~ Binom(n = 7, p = 0.50)
Now, the probability that she gets all 7 questions correct is given by = P(X = 7)
P(X = 7) = 
= 
= <u>0.0078</u>
84+83+92+80+95=434
434/5= 86.8
The correct answer is C
The answer is 40.
1000/25 will give you the new ratio
Simple way of thinking about it
25 enlisted men = 1 officer
1000enlisted men = X officer
Cross multiply (25 by X officer and the 1 officer by the 1000)
25x = 1000
X= 40.
