Answer:
x = 3
Step-by-step explanation:
Answer:
a. 1/13
b. 1/52
c. 2/13
d. 1/2
e. 15/26
f. 17/52
g. 1/2
Step-by-step explanation:
a. In a deck of cards, there are 4 suits and each of them has a 7. Therefore, the probability of drawing a 7 is:
P(7) = 4/52 = 1/13
b. There is only one 6 of clubs, therefore, the probability of drawing a 6 of clubs is:
P(6 of clubs) = 1/52
c. There 4 fives (one for each suit) and 4 queens in a deck of cards. Therefore, the probability of drawing a five or a queen is:
P(5 or Q) = P(5) + P(Q)
= 4/52 + 4/52
= 1/13 + 1/13
P(5 or Q) = 2/13
d. There are 2 suits that are black. Each suit has 13 cards. Therefore, there are 26 black cards. The probability of drawing a black card is:
P(B) = 26/52 = 1/2
e. There are 2 suits that are red. Each suit has 13 cards. Therefore, there are 26 red cards. There are 4 jacks. Therefore:
P(R or J) = P(R) + P(J)
= 26/52 + 4/52
= 30/52
P(R or J) = 15/26
f. There are 13 cards in clubs suit and there are 4 aces, therefore:
P(C or A) = P(C) + P(A)
= 13/52 + 4/52
P(C or A) = 17/52
g. There are 13 cards in the diamonds suit and there are 13 in the spades suit, therefore:
P(D or S) = P(D) + P(S)
= 13/52 + 13/52
= 26/52
P(D or S) = 1/2
Answer:
180x²(3x⁴+2)⁴+240x³(3x⁴+2)³
Step-by-step explanation:
we need to break this up using the chain rule
(3x⁴+2)=u
so we have
So now we take 3x⁴+2 and take the derivative (which I will assume you know how to do, if not lmk)
which is 12x³
we now need to take the derivative of u⁵=5u⁴
Mulitply these together
60x³u⁴=60x³(3x⁴+2)⁴
do the same thing again
60x³u⁴
we now need to do the mulitplication rleu
(60x³)'(u⁴)+(60x³)(u⁴)'
=
180x²u⁴+60x³*4u³
simplify
180x²(3x⁴+2)⁴+240x³(3x⁴+2)³
while you could do more to simplify it, it would get really messy
Answer:
They are perpendicular.
Step-by-step explanation:
When we convert the equation 6x-2y=-5 into y=mx+b form, it changes into y=3x-5/2. Since we know that perpendicular slopes are opposite reciprocal, the opposite reciprocal of -x/3 is 3. So, we know that these 2 slopes are perpendicular.
The greatest amount of money that could be rounded to $105.40 would be $105.44. Any higher, and it would be rounded to $105.50.
