<span>26 black cards of out 52
probability that a black card is chosen first = 26/52 = 1/2
</span>there are 13 heart
with replaced
The probability of then drawing a heart is 13/52 = 1/4 then
<span>the probability that a black card is chosen first and a heart is chosen second
= </span>(1/2)(1/4) = 1/8
answer
1/8
Answer:
15
Step-by-step explanation:
using the rule of exponents
= 
= 
= 
= 15
Answer:
Option 2 and 5 are correct.
Step-by-step explanation:
We need to tell which one of them is quadratic function.
Option 1 is exponential decay so, it is not quadratic.
Option 2 is quadratic because the diver will take the parabolic shape when jumps.
Option 3 is not quadratic.Option 4 is not quadratic it is linear.
Option 4 is again exponential not quadratic.
Option 5 is quadratic because it takes the parabolic shape again.
Answer: 5 • (2x2 - 17x - 2)
———————————————————
x - 8
Step-by-step explanation:
Step by step solution :
Step 1 :
Equation at the end of step 1 :
Step 2 :
10x2 - 85x - 10
Simplify ———————————————
x - 8
Step 3 :
Pulling out like terms :
3.1 Pull out like factors :
10x2 - 85x - 10 = 5 • (2x2 - 17x - 2)
Trying to factor by splitting the middle term
3.2 Factoring 2x2 - 17x - 2
The first term is, 2x2 its coefficient is 2 .
The middle term is, -17x its coefficient is -17 .
The last term, "the constant", is -2
Step-1 : Multiply the coefficient of the first term by the constant 2 • -2 = -4
Step-2 : Find two factors of -4 whose sum equals the coefficient of the middle term, which is -17 .
-4 + 1 = -3
-2 + 2 = 0
-1 + 4 = 3
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
