Answer:
1/2
Step-by-step explanation:
Assume the coin is a fair coin.
Since we already know that the first 9 tosses were heads, the probability of 9 straight heads in the first 9 tosses is 1.
It all depends on the last toss. There is an equal probability of heads and tails in a single toss of a fair coin.
p(heads) = 1/2
p(10 heads) = 1/2
It is convenient to remember that 5-12-13 is a Pythagorean triple.
Her ladder is 12 ft above the ground where it rests on the house.
_____
Using the Pythagorean theorem, you are given the hypotenuse as 13 ft and one leg as 5 ft. Then the other leg is
.. √(13^2 -5^2) = √(169 -25) = √144 = 12
Step-by-step explanation:
Make a table to find the values of x
P.s pick random y value
When x is 1,
y is 4........ Plug 1 into the equation ur given u get the value of y. So, 2(1)+2
When x is 2,
y is 6......... Plug 2 into the equation ur given u get the value of y. So, 2(2)+2
So this point is (2,6)
When x is 3
y is 8 ......2(3)+2
So this point is (3,8)
When x is 4
y is 10.... 2(10)+2
So this point is (4,10)
Hope this helps
Let the numbers be X and X+1.
X+2(X+1)=29
X+2X+2=29
3X=29-2
X=27/3
X=9.
Thus, the Numbers are therefore 9 and 9+1=10
i.e 9 & 10.
Thus, when 9 is added to (2*10=20), the result is 29.
Answer:
(- 1, 4 ) and (2, 7 )
Step-by-step explanation:
Given the 2 equations
y = x² + 3 → (1)
y = x + 5 → (2)
Substitute y = x² + 3 into (2)
x² + 3 = x + 5 ← subtract x + 5 from both sides
x² - x - 2 = 0 ← in standard form
(x - 2)(x + 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 2 = 0 ⇒ x = 2
x + 1 = 0 ⇒ x = - 1
Substitute these values into (2) for corresponding values of y
x = 2 : y = 2 + 5 = 7 ⇒ (2, 7 )
x = - 1 : y = - 1 + 5 = 4 ⇒ (- 1, 4 )
