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Strike441 [17]
3 years ago
5

A manager sample the receipts of every fifth person who goes through the line. Out of 50 people,4 had a mispriced item. If 600 p

eople go to this store each day, how many people would you expect to have a mispriced item?
Mathematics
1 answer:
zepelin [54]3 years ago
3 0
The answer is 48.

<span>Out of 50 people, 4 had a mispriced item: 50 people - 4 mispriced
Out of 600 people, x will have a mispriced item: 600 people - x

Make a proportion:
50 : 4  = 600 : x
50 * x = 4 * 600
50x = 2400
x = 2400 / 50
x = 48</span>
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Consider two independent tosses of a fair coin. Let A be the event that the first toss results in heads, let B be the event that
aliina [53]

Answer with Step-by-step explanation:

We are given that two independent tosses of a fair coin.

Sample space={HH,HT,TH,TT}

We have to find that A, B and C are pairwise independent.

According to question

A={HH,HT}

B={HH,TH}

C={TT,HH}

A\cap B={HH}

B\cap C={HH}

A\cap C={HH}

P(E)=\frac{number\;of\;favorable\;cases}{total\;number\;of\;cases}

Using the formula

Then, we get

Total number of cases=4

Number of favorable cases to event A=2

P(A)=\frac{2}{4}=\frac{1}{2}

Number of favorable cases to event B=2

Number of favorable cases to event C=2

P(B)=\frac{2}{4}=\frac{1}{2}

P(C)=\frac{2}{4}=\frac{1}{2}

If the two events A and B are independent then

P(A)\cdot P(B)=P(A\cap B)

P(A\cap)=\frac{1}{4}

P(B\cap C)=\frac{1}{4}

P(A\cap C)=\frac{1}{4}

P(A)\cdot P(B)=\frac{1}{2}\cdot \frac{1}{2}=\frac{1}{4}

P(B)\cdot P(C)=\frac{1}{4}

P(A)\cdot P(C)=\frac{1}{4}

P(A)\cdot P(B)=P(A\cap B)

Therefore, A and B are independent

P(B)\cdot P(C)=P(B\cap C)

Therefore, B and C are independent

P(A\cap C)=P(A)\cdot P(C)

Therefore, A and C are independent.

Hence, A, B and C are pairwise independent.

6 0
3 years ago
Solve the any quality then identify the graph the solution -3x-3&lt;6
Tanzania [10]

Answer:

Step-by-step explanation:

-3X-3<6

-3X<9

X>-3    (NOTICE THE SIGN CHANGE BECAUSE WE DIVIDED BY A NEGATIVE NUMBER)

(-3,00) INTERVAL NOTATION

7 0
3 years ago
Read 2 more answers
The trailer ramp is shaped like a triangle prism . The height of the ramp is 14 inches and the volume of the ramp is 4704 inches
Hatshy [7]

Answer:

A = 2167.73 cm²

Step-by-step explanation:

Given that,

A trailer ramp is in the shape of a triangular prism.

the height of the ramp, h = 14 inches

The volume of the ramp, V = 4704 inches²

We need to find the area of the base of the trailer ramp.

The volume of the triangular prism is given by :

V=A\times h

A is area of base and h is height

A=\dfrac{V}{h}\\\\A=\dfrac{4704}{14}\\\\A=336\ \text{inches}^2

or

A = 2167.73 cm²

So, the area of the base of the ramp is 2167.73 cm².

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3 years ago
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Angelina_Jolie [31]

Answer:

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Step-by-step explanation:

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6 0
3 years ago
Please help, I have no idea.
svp [43]
Option 1. Incorrect because if 0 is added to 4 and then 2 is subtracted, it will not greater or equal to 6
option 2. Correct because if 4 or is added to negative 12 or less and then turned into the absolute value and the 2 is subtracted then it will be greater than 6. if there is 4 or more that also works, because 4 plus 4 is 8 and the subtracted 2 is six, everything greater is also valid so option to is the correct answer
8 0
3 years ago
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