Since there is no repetition allowed, there are 10 possibilities for the 1st digit, 9 for the 2nd, 8 for the 3rd, and 7 for the 4th. This gives a total of (10)(9)(8)(7) = 5040 four-digit codes.
For all odd digits to be used, there are 5 possibilities for the 1st digit (1,3,5,7,9), 4 for the 2nd, 3 for the 3rd, 2 for the 4th. This gives a total of (5)(4)(3)(2) = 120 codes that only use odd digits.
Therefore there are 5040 - 120 = 4920 codes that do not consist of all odd digits. The probability is 4920/5040 = 41/42.
Answer:
The Triangle Is A Right Triangle Because 5^2 + 12^2 = 13^2.
Step-by-step explanation:
5^2 = 25. 12^2 = 144. With the Pythagorean theorem, (a^2 + b^2 = c^2), 5 is a, 12 is b, and 13 is c.
25 + 144 = 169.
13 ^ 2 = 169.
Since a^2 + b^2 = c^2 is true, the triangle is a right triangle.
The polar equation is r = 2 + cos(theta).
Given,
A choir is performing in front of an audience. a microphone is placed in front of the choir to capture sound.
The polar equation represents the microphone the choir is using i.e
On edge i.e r = 2 + cos(theta)
Hence, The polar equation is r = 2 + cos(theta).
Learn more about polar equations here brainly.com/question/23575937
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15) a) -3 and -4
-3(-4) = 12 (two negative numbers multiplied or divided together = positive answer)
b) -5 and 6
6(-5) = -30 (one negative number and one positive number multiplied together = negative answer)
-5 + 6 = 1
16) 2.4 kg, 0.7 kg
c) a loss of 15kg should be your answer, because the loss has a larger number proportion than the gained
hope this helps
Answer:
it is 4xy-4y^2+16x-16y
Step-by-step explanation:
My method is to "square them"
2x. -2y.
2y
8
2x * 2y
2x * 8
-2y*2y
-2y * 8
and add all the products together
