Solve For The Variable
2 answers:
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See picture for the set up. You finish. Do the math.
Correct option C) 0.98%
<u>Step-by-step explanation:</u>
We know that , there are 2 black ace cards out of 52 cards in a deck & 13 hearts out of 52 cards . Here we have to tell What is the probability of drawing a black ace followed by a heart out of a deck when the cards aren't replaced . Let's find out:
Firstly , a black ace is drawn , so probability :
⇒
Now , A heart is drawn out of 51 cards ( as one black ace is already drawn !):
⇒
So , Probability of occurring both events is :
⇒
⇒
⇒
Percentage = %
Therefore , Correct option C) 0.98%
Given:
It is given that,
PQ ⊥ PS and
∠QPR = 7x-9
∠RPS = 4x+22
To find the value of ∠QPR.
Formula
As per the given problem PR lies between PQ and PS,
So,
∠QPR+∠RPS = 90°
Now,
Putting the values of ∠RPS and ∠QPR we get,
or,
or,
or,
or,
Substituting the value of in ∠QPR we get,
∠QPR =
or, ∠QPR =
Hence,
The value of ∠QPR is 40°.