2x - 11 = k , x
2x = k + 11
x = k + 11
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2
The constant π is defined as the ratio of the circumference of a circle with respect to its diameter, mathematically:
π=C/d which can be rearranged to
C=πd
Since the diameter is equal to twice the radius of the circle, ie d=2r
C=2πr dividing both sides by 2π gives you:
r=C/(2π), the "spoke" in our problem is equal to the radius of a circle, and we are told that C=42in so:
r=42/(2π) in
r=21/π in
r≈6.68 in (to nearest hundredth of an inch)
Answer: x = -1
Step-by-step explanation:
i assume you mean
5x-(5x+3) = -1/3(12x+21)
lets start with the left
-(5x+3) can be turnd into -5x-3
now it is
5x-5x-3 and that can be just -3
now lets go to the right and get rid of the 1/3
we see the 3 at the bottom of 1/3, and (12x+21) can be factored with 3
so 1/3 x 3(4x+7) is what we get
1/3 x 3 cancels out so we are left with
-3 = (-4x-7)
lets try to get -4x by itself
if you move -4x to the left, turning it into 4x, and move -3 to the right, turning it into 3, you get 4x = -7 +3
-7 +3 = -4
4x = -4
devide by 4
4x/4 = -4/4
x = -1
Answer:
0.16807 ; 0.83193
Step-by-step explanation:
Given that:
Number of trials, n = 5
Probability of success, p = 0.30
P(r = 0)
Using the binomial probability relation :
P(x =r) = nCr * p^r * (1 - p)^(n - r)
(a) Find P(r = 0).
P(r = 0) = 5C0 * 0.3^0 * (0.7)^(5- 0)
= 1 * 1 * 0.16807
= 0.16807
(b) Find P(r ≥ 1) by using the complement rule
P(r ≥ 1) = 1 - P(r = 0)
P(r ≥ 1) = 1 - 0.16807
P(r ≥ 1) = 0.83193
I think u should divide 8 and 10 then u will get your answer hope that helps