Which expression is equivalent to 7

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

Rewrite the equation by completing the squares x^2-x-20

yuradex [85]

Answer: x = ¹/₂ ± √⁸¹

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2

Step-by-step explanation:

First write out the equation

x² - x - 20

Now we now write the equation by equating to 0

x² - x - 20 = 0

We now move 20 to the other side of the equation. So

x² - x = 20,

We now add to both side of the equation square of the half the coefficient of the (x) and not (x²) which is (1) . So, the equation now becomes

x² - x + ( ¹/₂ )² = 20 + ( ¹/₂ )²

x² - ( ¹/₂ )² = 20 + ¹/₄

( x - ¹/₂ )² = 20 + ¹/₄, we now resolve the right hand side expression into fraction

( x - ¹/₂ )² = ⁸¹/₄ when the LCM is made 4

Taking the square root of both side to remove the square,we now have

x - ¹/₂ = √⁸¹/₄

x - ¹/₂ = √⁸¹/₂

Therefore,

x = ¹/₂ ± √⁸¹

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2

3 0

3 years ago

In 2002, Takaru Kobyashi ate fifty hot dogs in twelve minutes. At that rate, and assuming that he wouldn’t explode, how many dog

kupik [55]

So he ate 50 in 12 minutes.
There are 60 minutes in an hour. You want to divide 12 into 60 minutes.
Multiply your answer on 5 times the number of Hog-Dogs.
= 250 Hot-Dogs

5 0

3 years ago

Which word phrase has the same meaning as y+7

dangina [55]

7 added to a number, 7 plus a number, 7 and a number, etc. It's written in many ways.

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sorry if this doesn't help

3 0

2 years ago

Read 2 more answers

The histogram to the right represents the weights (in pounds) of members of a certain high-school math team.

kupik [55]

Answer: There are total 20 team members.

Step-by-step explanation:

Ans: There are total 20 team members.

Concept: In the given picture a graph shows the relation between the number of people and their weight. The y-axis shows the number of team members and the x-axis shows the weight of those particular number of members. So, just notice the number of members corresponding to all the given weights and add them.

Solution step by step

Step 1: Members corresponding to 115kg

There are total 5 members having 115kg weight.

Step 2: Members corresponding to 135kg

There are total 3 members having 135kg weight.

Step 3: Members corresponding to 155kg

There are total 2 members having 155kg weight.

Step 4: Members corresponding to 175kg

There are total 0 members having 175kg weight.

Step 5: Members corresponding to 195kg

There are total 3 members having 195kg weight.

Step 6: Members corresponding to 215kg

There are total 4 members having 215kg weight.

Step 7: Members corresponding to 235kg

There are total 3 members having 235kg weight.

Step 8: Add the number of members

The total number of members are 5+3+2+0+3+4+3=20

So, the total number of members are 20.

#SPJ10

5 0

1 year ago