Answer:
C
Step-by-step explanation:
I took the test
3x-3 and 4x-6 are complementary angles meaning together they add up to 180°. Set them equal to each other. So you get 3x-3=4x-6 now simplify this. Now you have x=3 and there you have it! If you plug 3 into x in both equations it works! Hope this helps!
Answer:
Step-by-step explanation:
The expected value is the probability of an event multiplied by the number of times the event happens. And if there is more than 1 event, the expected value is the sum of those.
There are 52 cards in a deck.
There are 12 face cards in a deck. (gain 10)
There are 4 ace in a deck. (gain 20)
Any other card is 36 of them. (lose 5)
The probability of face card is 12/52
The probability of ace is 4/52
The probability of any other card is 36/52
Thus the expected values is:
(12/52)(10) + (4/52)(20) + (36/52)(-5) = $0.38
The probability that all of the next ten customers who want this racket can get the version they want from current stock is 0.821
<h3>How to solve?</h3>
Given: currently has seven rackets of each version.
Then the probability that the next ten customers get the racket they want is P(3≤X≤7)
<h3>Why P(3≤X≤7)?</h3>
Note that If less than 3 customers want the oversize, then more than 7 want the midsize and someone's going to miss out.
X ~ Binomial (n = 10, p = 0.6)
P(3≤X≤7) = P(X≤7) - P(X≤2)
From Binomial Table:
= 0.8333 - 0.012
= 0.821
To learn more about Probability visit :
brainly.com/question/25870256
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Answer:
The length of the unknown side x is 4 cm
Step-by-step explanation:
we know that
The perimeter of a polygon is equal to the sum of its length sides
Remember that
1 cm=10 mm
In this problem we have
AB=45 mm ------> convert to cm -----> AB=45/10=4.5 cm
BC=10 cm 4 mm -----> convert to cm -----> BC=10+4/10=10.4 cm
CD=5 cm 6 mm -----> convert to cm -----> CD=5+6/10=5.6 cm
DE=35 mm ------> convert to cm -----> DE=35/10=3.5 cm
EA=x cm
P=280 mm ------> convert to cm -----> P=280/10=28 cm
The perimeter of the irregular polygon is equal to
P=AB+BC+CD+DE+EA
substitute the values
28=4.5+10.4+5.6+3.5+x
28=24+x
x=28-24
x=4 cm
