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Julli [10]
3 years ago
11

Please help with this.

Mathematics
1 answer:
sergiy2304 [10]3 years ago
7 0
Internal conflict I think
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Use the distributive property to simplify the expression 7(x-20)
grigory [225]

Multiply "7" by each term inside the parentheses.

7(x-20) = 7x-140

answer: 7x-140

6 0
4 years ago
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Question Help When purchasing bulk orders of​ batteries, a toy manufacturer uses this acceptance sampling​ plan: Randomly select
horrorfan [7]

Answer:

The probability is P(X  \le 2 ) = 0.9072

The company will accept 90.72% of the shipment and will reject (100 -90.72) =  9.2\% of the shipment , so many of the shipment are rejected

Step-by-step explanation:

From the question we are told that

   The  sample size is  n =  36

   The  proportion that did not meet the requirement is  p =  0.03

Generally the probability that the whole shipment is accepted is equivalent to the probability that there is at most 2 batteries that do not meet the requirement , this is mathematically represented as

     P(X  \le 2 ) = [ P(X =  0 ) +  P(X =  1 ) + P(X = 0)]

=>   P(X  \le 2 ) = [ [^{n}C_0 * (p)^{0} *(1-p)^{n-0} ] +  [^{n}C_1 * (p)^{1} *(1-p)^{n-1} ] +  [^{n}C_2 * (p)^{2} *(1-p)^{n-2} ]]

Here C stands for Combination (so we will be making the combination function in our  calculators )

So

=> P(X  \le 2 ) = [ [^{36}C_0 * (0.03)^{0} *(1-0.03)^{36-0} ] +  [^{36}C_1 * (0.03)^{1} *(1-0.03)^{36-1} ] +  [^{36}C_2 * (0.03)^{2} *(1-0.03)^{36-2} ]]

=> P(X  \le 2 ) = [ [1 * 1 * 0.3340  ] +  [36* 0.03 *0.3444 ] +  [630 * 0.0009 *(0.355 ]]

=>P(X  \le 2 ) = 0.9072

The company will accept 90.72% of the shipment and will reject (100 -90.72) =  9.2\% of the shipment , so many of the shipment are rejected

 

8 0
3 years ago
What is the root of the polynomial equation x(x-2)(x+3) = 18? Use a graphing calculator and a system of equations.
Trava [24]

9514 1404 393

Answer:

  x = 3

Step-by-step explanation:

The equation can be rewritten to make use of the graphing calculator's ability to identify function zeros:

  x(x -2)(x +3) -18 = 0

The attached shows x = 3 is the only real solution.

_____

We're not sure what "system of equations" is intended. Perhaps it is ...

  y = 18

  y = x(x -2)(x +3)

To create the expression we graphed, we effectively subtracted the first equation from the second.

3 0
3 years ago
Is (-4x+9) squared a perfect square
kaheart [24]

Answer:

+ 6x + 9 ...so x2 + 6x + 9 is a perfect square trinomial. ... The first term, 16x2, is the square of 4x, and the last term, 36, is the square of 6. (4x)2 – 48x + 62.

Step-by-step explanation:

5 0
3 years ago
What is X for? x+20=35-4x
Helen [10]
X+4x=35-20. 5x=35-20. 5x=15. X=3
4 0
3 years ago
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