What expression is equivalent to 3(6x-2)+2(x+5)

2 answers:

6 0

3(6x-2)+ 2(x+5)
= 3*(6x)-3*2 +2x +2*5 (distributive property)
= 18x -6 +2x +10
= (18x +2x) +(10-6)
= 20x +4

The final answer is 20x+4.

Hope this helps~

inessss [21]2 years ago

4 0

3(6x-2)+2(x+5)=18x-6+2x+10=20x+4=4(5x+1)

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When purchasing bulk orders of batteries, a toy manufacturer uses this acceptance sampling plan: Randomly select and test 56 b

nydimaria [60]

Answer:

98.1% chance of being accepted

Step-by-step explanation:

Given:

sample size,n=56

acceptance condition= at most 2 batteries do not meet specifications

shipment size=7000

battery percentage in shipment that do not meet specification= 1%

Applying binomial distribution

In this formula, a is the acceptable number of defectives;

n is the sample size;

p is the fraction of defectives in the population.

Now putting the value

a= 2

n=56

p=0.01

$\frac{56!}{0!\left(56-0\right)!}\left(0.01\right)^0\:\left(1-0.01\right)^{\left(56-0\right)} + \frac{56!}{1!\left(56-1\right)!}\left(0.01\right)^1\:\left(1-0.01\right)^{\left(56-1\right)} +$ $\:\frac{56!}{2!\left(56-2\right)!}\left(0.01\right)^2\:\left(1-0.01\right)^{\left(56-2\right)}$

=0.56960+0.32219+0.08949

After summation, we get 0.981 i.e. a 98.1% chance of being accepted. As this is such a high chance, we can expect many of the shipments like this to be accepted!

7 0

2 years ago

The express the area of the entire rectangle

Sonja [21]

Answer:

area= x^2+8x+7

Step-by-step explanation:

a=l*w

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w=x+1

a=(x+7)(x+1)

a= x^2+8x+7