Answer and Step-by-step explanation:

<u><em>→ Prime factorization of 1624 is :</em></u>
= 2 × 2 × 2 × 7 × 29
<u><em>→ Prime factorisation of 522 is :</em></u><em> </em>
= 2 × 3 × 3 × 29
<u><em>→ Prime factorisation of 1276 is :</em></u><em> </em>
= 2 × 2 × 29 × 11
→
<em> </em>
× 
<h3>
Answer:</h3>
x=2
<h3>
Solution:</h3>
- In order to isolate x, we should first of all take the square root of both sides.
- If we take the square root of the left-hand side, we will get

- How about the right-hand side? Well, we should take the square root of the numerator (9) and the denominator (4)
- So we have

- Move -1/2 to the right:


- x=2
Hope it helps.
Do comment if you have any query.
Answer:
Find the answers below
Step-by-step explanation:
Using m<X as the reference angle
Opposite YZ = 7
Adjacent XY = 10
Hypotenuse XZ = √149
Using the SOH CAH TOA identity
sinX = opp/hyp
sinX =YZ/XZ
sinX = 7/√149
For cos X
cos X = adj/hyp
cos X =10/√149
Using m<Z as reference angle;
Opposite XY = 10
Adjacent YZ = 7
Hypotenuse XZ = √149
Using the SOH CAH TOA identity
sinZ = opp/hyp
sinZ =10/√149
sinZ = 7/√149
For cos Z
cosZ = 7/√149
The answer would be 5000.
The probability of selecting exactly one ace is its likelihood
The probability that a five-card poker hand contains exactly one ace is 29.95%
<h3>How to determine the probability?</h3>
There are 4 aces in a standard deck of 52 cards.
The probability of selecting an ace would be:
p = 4/52
Also, there are 48 non-ace cards in the standard deck
So, the probability of selecting a non-ace after an ace has been selected is:
p = 48/51
The probability of selecting a non-ace up to the fifth selection are:
- After two cards have been selected is: 47/50.
- After three cards have been selected is: 46/49.
- After four cards have been selected is: 45/48.
The required probability is then calculated as:
P(1 Ace) = n * (4/52) * (48/51) * (47/50) * (46/49) * (45/48)
Where n is the number of cards i.e. 5
So, we have:
P(1 Ace) = 5 * (4/52) * (48/51) * (47/50) * (46/49) * (45/48)
Evaluate
P(1 Ace) = 0.2995
Express as percentage
P(1 Ace) = 29.95%
Hence, the probability that a five-card poker hand contains exactly one ace is 29.95%
Read more about probability at:
brainly.com/question/25870256