Answer:
One number is 561
The other number is 23.6854
Step-by-step explanation:
x = y^2 One number = the square of another
x + y^2 = 1122 The sum of the two numbers is 1122
Substitute y^2 in for x on the second equation.
y^2 + y^2 = 1122 Combine like terms on the left
2y^2 = 1122 Divide by 2
y^2 = 1122/2
y^2 = 561 Take the square root of both sides.
y = 23.6854
x = y^2
x = 561
y^2 = 561
Answer:
no
Step-by-step explanation:
A function cannot have 2 outputs for one input.
You should only ever have on value correlate with another.
4 as x has two outputs, 0 & 3 making it not a function
Quotient just means answer so if it’s asking the answer for 13.75/2.5 the answer is 5.5
Answer: 0.0000842890
Step-by-step explanation:
Given that :
Number of cards in a deck = 52
Number of hearts in a deck = 13
Probability of being dealt 6 hearts :
Probability = (required outcome / Total possible outcomes)
Required outcome = choosing 6 hearts from a possible 13
13C6:
Recall : nCr = (n! / (n-r)!r!)
13C6 = 13! / (13-6)!6!
13C6 = 13! / 7!6!
13C6 = (13*12*11*10*9*8)/(6*5*4*3*2*1)
13C6 = 1235520 / 730
13C6 = 1716
Total possible outcomes :
52C6 = 52! / (52-6)!6!
52C6 = 52! / 46!6!
52C6 = (52*51*50*49*48*47)/(6*5*4*3*2*1)
52C6 = 14658134400 / 720
52C6 = 20358520
Hence,
P(6 hearts) = 1716 / 20358520
P(6 hearts) = 0.0000842890