look at pic 10 pts will mark brainilest

Answer:

a-The probability that item A is discovered as a defective item by method 1 is 0.4

b. The probability that item A is discovered as a defective item by method 2 is 0.4

c-As the probability of detecting A as a defective item is same for the two methods, thus it can be stated that each of the methods is equally effective.

Step-by-step explanation:

a-

The first method where the inspector chooses two of the five items randomly, so the total pairs are as given below:

[tex]N_{total}=n(S_{total})\\N_{total}=n(\{AB,AC,AD,AE,BC,BD,BE,CD,CE,DE\})\\[/tex]

As the total experiments in the overall space is 10 so [tex]N_{total}[/tex] is 10.

As A comes in 4 of these experiments, thus the value of [tex]N_{A}[/tex] is 4.

So the Probability of A is given as

[tex]P(A)=\dfrac{N_{A}}{N_{total}}\\P(A)=\dfrac{4}{10}\\P(A)=0.4[/tex]

The probability that item A is discovered as a defective item by method 1 is 0.4.

b-

Now in order to find the probability of finding item A as defective by method 2, first consider the probability of not finding item A as defective.

This is given as

[tex]P(A)=1-P(A)'[/tex]

Here P(A)' is given as

[tex]P(A)'=P(A)'_{1^{st}}\times P(A)'_{2^{nd}}[/tex]

Here

P(A)'_1st is the probability that the first inspector fails to detect A as a defective item which is given as

[tex]P(A)'_{1^{st}}=1-\dfrac{1}{N_{total\ items}}[/tex]

Here N_total items is 5. so the equation becomes

[tex]P(A)'_{1^{st}}=1-\dfrac{1}{N_{total\ items}}\\P(A)'_{1^{st}}=1-\dfrac{1}{5}\\P(A)'_{1^{st}}=\dfrac{5-1}{5}\\P(A)'_{1^{st}}=\dfrac{4}{5}[/tex]

Similarly

P(A)'_2nd is the probability that the second inspector fails to detect A as a defective item which is given as

[tex]P(A)'_{2^{nd}}=1-\dfrac{1}{N_{total\ items}}[/tex]

Here N_total items is 4 as 1 item has already been checked. so the equation becomes

[tex]P(A)'_{2^{nd}}=1-\dfrac{1}{N_{total\ items}}\\P(A)'_{2^{nd}}=1-\dfrac{1}{4}\\P(A)'_{2^{nd}}=\dfrac{4-1}{4}\\P(A)'_{2^{nd}}=\dfrac{3}{4}[/tex]

So the main equation becomes

[tex]P(A)=1-P(A)'\\P(A)=1-(P(A)'_{1^{st}}\times P(A)'_{2^{nd}})[/tex]

Substituting the values give

[tex]P(A)=1-(P(A)'_{1^{st}}\times P(A)'_{2^{nd}})\\P(A)=1-(\dfrac{4}{5}\times \dfrac{3}{4})\\P(A)=1-\dfrac{3}{5}\\P(A)=\dfrac{5-3}{5}\\P(A)=\dfrac{2}{5}\\P(A)=0.4[/tex]

The probability that item A is discovered as a defective item by method 2 is 0.4.

c-

As evident from the above, that the value of probabilities for both the methods is same therefore the overall effectiveness of each of the methods is same.

Answer:

6g-27=3

6g=30 add 27 on both sides

g=5 divide by 6

final answer is 5

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

Bookstore to pet store: Down 6 units

Bookstore to Ice cream shop: Down 1 unit, 5 units to the left

Ice cream shop to pet store: Down 5 units, 5 units to the right

Sorry if this is wrong the image is a little blurry

Answer:

A

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

The solution for system of two equations is simply the intersection of the two functions. Hence (b) is the answer

Answer:

wow that

Step-by-step explanation:

a lot

Answer:

The amplitude is 1/5

Step-by-step explanation:

Given

[tex]y = -\frac{1}{5}\sin(x)[/tex]

Required

Determine the amplitude

The general cosine function is:

[tex]y = A\sin(k(x + c)) +d[/tex]

Where

[tex]Amplitude = |A|[/tex]

Compare [tex]y = A\sin(k(x + c)) +d[/tex] and [tex]y = -\frac{1}{5}\sin(x)[/tex]

[tex]A = -\frac{1}{5}[/tex]

So:

[tex]Amplitude = |-\frac{1}{5}|[/tex]

[tex]Amplitude = \frac{1}{5}[/tex]

Answer:

hmm easy peesy

3x+6= 21

21-6=3x

15=3x

5 = X

meet my dog; (Frankie the sleeping beauty )

Answer:

x = 5

Step-by-step explanation:

Expand:

Use distributive property:

3x + 6 = 21

3x = 15

x = 5

Divide:

(x + 2) = 21/3

x + 2 = 7

x = 5

Check your work:

3(5 + 2) = 21

15 + 6 = 21

21 = 21

Correct

Answer:

D

Step-by-step explanation:

1) remember that x indicates the independent variable, while y the dependent variable

2) remember that the first diagram represents the values of x, while the second the values of y

Mapping diagram A represent the number of tickets sold on that day. Therefore, option A is the correct answer.

The given set of ordered pairs are {(1,19), (2,23), (3,23), (4,29), (5,31)}.

In math, a relation defines the relationship between sets of values of ordered pairs. The set of elements in the first set are called domain which is related to the set of the element in another set, which is called range.

A mapping diagram consists of two parallel columns. The first column represents the domain of a function [tex]f[/tex], and the other column for its range. Lines or arrows are drawn from domain to range, to represent the relation between any two elements.

Diagram A represents the given ordered pair

Mapping diagram A represent the number of tickets sold on that day. Therefore, option A is the correct answer.

Learn more about the relations here:

https://brainly.com/question/6241820.

#SPJ2

Answer:

20:23?

Step-by-step explanation:

Answer:

Plate Area = PI * radius^2

Plate Area = 3.14159 * 6 * 6

Plate Area = 113.09724  square inches

Plate Area = 113.1 square inches (rounded)

Step-by-step explanation:

Answer:

D: corresponding angle

hope it helps.

Answer:

corresponding angles

Step-by-step explanation:

hope it is helpful ><

Answer:

<MLJ and <NOQ

Step-by-step explanation:

Alternate exterior angles are angles that lie outside of the two parallel lines that are cut across by the transversal line, and are also alternating each other along the transversal

Considering the image and the options given, <MLJ and <NOQ are exterior angles that alternate each other. Therefore, they are alternate exterior angles.

Answer:

$32.40

Step-by-step explanation:

45% = 0.45

72(0.45) = 32.4

Based on the amount Kristian had and the percentage spent on the game, the price of the game is $32.40.

The price of the game can be found as:

= Amount Kristian has x Percentage spent on game

Solving gives:

= 45% x 72

= $32.40

In conclusion, the price of the game is $32.40.

Find out more about percentages at https://brainly.com/question/11570843

Answer:

answer: 117

Hope this helps!

Answer:

117

Step-by-step explanation:

Convert mixed numbers to improper fractions:

7 1/2 = 15/2

4 1/3 = 13/3

3 3/5 = 18/5

15/2 x 13/3 x 18/5

Multiply and cross-cancel:

18/2 x 13/1

Multiply again:

117/1 = 117

Step-by-step explanation:

120=2/5t

120×5/2=t

t=600/2

t=300

hope it helps u

Answer:

2: 176.8mm

4: ?

Step-by-step explanation:

2: 56 times 3.14 = 175.84 --> Nearest tenth: 176.8

4: I can't see the problem, sorry :(

Answer:

2. 2461.8

4. 86.6

Explanation:

your formula for area is pi×radius^2

you are using 3.14 for pi

and your radius is half way across the circle or half the diameter.

2. 3.14×(28)^2

3.14×784

=2461.8

4.This one shows the diameter so you have to divide it by 2 first.

10.5/2=5.25

radius=5.25

3.14×(5.25)^2

3.14x27.5625

=86.6

I ROUNDED BOTH ANSWERS AT THE END

Answer:

fish stick :DDDD  funny

Step-by-step explanation:

4z +6v = 12z + 6v = 12   :? there is something fishy going on here   :/ what did you mean to ask in the question??

Answer:

91.5

Step-by-step explanation:

I did the math. Add up all the numbers and then, divide the result by two to get 91.5

Answer: C.

Step-by-step explanation:

You notice how the number goes from

3.50 to 3.62 to 3.49 to 3.88

hThe 3.49 is out of place. Thus ruining the order of least to greatest.

Answer: Hewo, there your Answer is Below

My answer would Be C

Step-by-step explanation:

I chose this Answer Because, It starts with 3.5 and then 3.62 and then 3.498

Hope this helps you!!

Have a great day!!!

Answer:

D=10

Step-by-step explanation:

Diameter of a Sphere

D = 2 r

D=2(5)

D=10

Answer:

Diameter = 10

Diameter - is the full thing

Radius - Is only half of the diameter.

Step-by-step explanation:

The picture will explain it to you visually

Answer:

We know that

6 × 3 = 2 × x

18 = 2x

x = 9

Answer: X≥6

Step-by-step explanation:

x/-2≤-3

x≥-3(-2)

X≥6

Answers:  -2 and 2

Explanation:

The solutions to a graph are the same as the roots, zeros, or x intercepts. The x intercept is the location of the curve where it crosses or touches the x axis. In this case, it does so when x = -2 and x = 2.

Answer:

55

Step-by-step explanation:

The angle is 1/2 of the arc

Answer:

3.5

Step-by-step explanation:

n+7=3n

7=2n

n=3.5

Answer:

n=7/2

Step-by-step explanation:

n+7=3n

-n     -n

7=2n

/2  /2

7/2=n