<span>4(x+5) = 4x +5x
Simplify by distributing and combining like terms
</span>(4)(x)+(4)(5)=4x+5x
4x+20=4x+5x
4x+20=(4x+5x)
4x+20=9x
Subtract 9x from each side
4x+20−9x=9x−9x
5x+20=0
<span />
Subtract 20 from each side
−5x+20−20=0−20
−5x=−20
Divide each side by -5
-5x ÷ -5 = -20 ÷ -5
x = 4
P.S this was actually harder than most algebra problems, so don't beat yourself about it :D<span /><span /><span /><span /><span />
Radius- 5
The radius is half, so if you want to find the radius, you have to see what if half of the diameter, which is 10. So 10 divided by 2 is 5 which is the radius. Easy.
Answer:
-10x⁶+20x⁵+4x⁴-46x³+16x²+12x-24
Step-by-step explanation:
(-5x³ + 2x - 4)(2x³ - 4x² + 6)
= -10x⁶ + 4x⁴ - 8x³ + 20x⁵ - 8x³ + 16x² - 30x³ + 12x - 24
= -10x⁶+20x⁵+4x⁴-46x³+16x²+12x-24
(-5x³ + 2x - 4)(2x³ - 4x² + 6)
Is same as
(2x³ - 4x² + 6)(-5x³ + 2x - 4)
Because multiplication is commutative.
a×b = b×a
Answer:
P (X≤1) = 0.000
Step-by-step explanation:
Data given:
p = 79% = 0.79
q = 1 - 0.79 = 0.21
n = 16
P (no more than 1 in 16 adults) = P (X≤1)
P (X≤1) = P (X=0) + P (X=1)
We can find the probability by using binomial functions:
![P=\frac{n!}{x!(n-x)!}p^x(1-p)^{n-x}](https://tex.z-dn.net/?f=P%3D%5Cfrac%7Bn%21%7D%7Bx%21%28n-x%29%21%7Dp%5Ex%281-p%29%5E%7Bn-x%7D)
<h3>P(X=0):</h3>
P(X=0) = (16! / 0!(16-0)!) · 0.79⁰ · 0.21¹⁶
Use calculator to solve:
P(X=0) = 0.000000000798
<h3 /><h3>P(X=1):</h3>
P(X=1) = (16! / 1!(16-1)!) · 0.79¹ · 0.21¹⁵
Use calculator to solve:
P(X=1) = 0.000000034506
<h3>P(X≤1)</h3>
P (X≤1) = P (X=0) + P (X=1)
P (X≤1) = 0.000000000798 + 0.000000034506
P (X≤1) = 0.00000003530
P (X≤1) = 0.000
As 1 is a very low number, its probability is very small