MATHEMATICS HIGH SCHOOL

Suppose you just received a shipment of twelve televisions. Three of them are defective. Assuming that two televisions are randomly selected, find the following probabilities:What is the probability that both televisons work?
What is the probability that at least one does not work?

Answers

Answer 1
Answer: The probability that both televisons work is 18/33.
The probability that at least one does not work is 15/33.

Let x = number of shipments, x = 12
P(defective) = 3/12
P(working) =  9/12
The probability that two randomly selected televisions are both working is:
9/12 * 8/11 = 72 / 132 or 18/33
P(2 working) = 18/33 
8/11 is used for the second selection since the number of televisions has been reduced due to the first selection.

The probability of 1 not working among the two can be solved through"
P(at least one defective among the 2) = 1 - P(2 working) 
P(at least one defective among the 2)  = 15/ 33

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Answer 2
Answer:

Answer:

Step-by-step explanation:

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The difference of six times a number and seven results in 35.Identify the steps necessary to solve the equation.


Add 7, and then divide by 6.

Divide by 6, and then add 7.

Subtract 7, and then divide by 6.

Divide by 6, and then subtract 7.

Which one is the answer?

Answers

Answer:

Add 7, and then divided by 6

Step-by-step explanation:

Let x be the number

We have to identify the steps necessary to solve the equation.

According the question

6x-7=35

Adding 7 on both sides then we get

6x-7+7=35+7

6x=42

Divided by 6 on both sides then, we get

(6x)/(6)=(42)/(6)

x=7

Answer:Add 7, and then divided by 6
6x - 7 = 35
6x = 35 + 7              (add 7 and then divide by 6)
6x = 42
x = 42/6
x = 7

Figure ABCD is rotated by 180 degrees about the origin in the counterclockwise direction to obtain figure A′B′C′D′:Which statement best compares the lengths of the sides of the two figures?

Length of AB = Length of C′D′
Length of CD = Length of A′B′
Length of CD = Length of B′C′
Length of AB = Length of A′B′

Answers

Hello,
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Solve equation 2x-5=20-x

Answers

Answer:

x = 25/3

Step-by-step explanation:

2x-5=20-x

2x-5+5=x+20+5 (add 5 both to both sides)

2x = -x + 25

2x + x = -x + x + 25 (add x to both sides)

3x = 25

3x/3 = 25/3 (divide both sides by 3)

x = 25/3

Find the total price for each item (Round to the nearest hundredths place): video game: $35.99

sales tax: 6.75%

Answers

Answer:£38.42

Step-by-step explanation:

The vertex of the function y=-3(x - 1)² +2 is?Can Someone please help i need the answer for this

what is the vertex function of
y=-3(x - 1)² +2

Answers

formula: f(x) = a(x – h)2 + k

transformation: 1 unit right 2 units up

vertex: (h,k) -> (1,2) it’s positive because it has to be the opposite

maximum/minimum: maximum

range: (-∞, ∞)
domain: y ≥2

In which of the following stores would you pay the least amount for an item that is priced $360? Store A: Sale of 10% off and a successive discount of 10% off. Store B: Sale of 15% with no additional discount. Store C: Sale of $35 off and a successive discount of 10% off

Answers

The right answer for the question that is being asked and shown above is that: "A: Sale of 10% off and a successive discount of 10% off." The store that would let you pay the least amount for an item that is priced $360 is the Store A.

The correct answer is Store A: Sale of 10% off and a successive discount of 10% off.

Further explanation:

Discount is the reduction of amount in the cost price of any item.

The following formula for discount can be used when the rate of discount and the cost price is given.

\boxed{{\text{Discount}}=\left( {\frac{{{\text{rate of discount}}}}{{100}}}\right)*{\text{cost price}}}

The following formula for selling price can be used when the discount and the cost priceis given.

\boxed{{\text{Selling price}}={\text{Cost price}}-{\text{Discount}}}

Given:

The price of an item is \boxed{\$360}.

Calculation:

Store A is allowing 10% off and then allowing a successive discount of 10%.

The first discount of an item by the use of the formula can be calculated as,

\begin{aligned}{\text{discount}}&=\left( {\frac{{10}}{{100}}}\right)* 360\n&= 36\n\end{aligned}

Now, the selling price after allowing the first discount is,

\begin{aligned}{\text{Selling price}}&={\text{360}}-36\n&=324\n\end{aligned}

The successive discount on the item can be calculated as,

\begin{aligned}{\text{discount}}&=\left( {\frac{{10}}{{100}}}\right)*324\n&=32.4\n\end{aligned}

Now, the selling price after allowing second discount is,

\begin{aligned}{\text{Selling price}}&={\text{324}}-32.4\n&=291.6\n\end{aligned}

Therefore, the amount we have to pay to Store A is \boxed{\$291.6}.

Store B is giving 15% off with no additional discount.

The discount of an item by the use of the formula can be calculated as,

\begin{aligned}{\text{discount}}&=\left( {\frac{{15}}{{100}}}\right)*360\n&=54\n\end{aligned}

Now, the selling price after allowing discount can be calculated as,

\begin{aligned}{\text{Selling price}}&={\text{360}}-54\n&=306\n\end{aligned}

Therefore, the amount we have to pay to Store B is \boxed{\$306}.

Store C is giving $35 off and then allowing a successive discount of  10%.

Now, the selling price after allowing first discount can be calculated as,

\begin{aligned}{\text{Selling price}}&={\text{360}}-35\n&=325\n\end{aligned}

The successive discount on the item can be calculated as,

\begin{gathered}{\text{discount}}=\left( {\frac{{10}}{{100}}}\right)*325\n=32.5\n\end{gathered}

Now, the selling price after deducting second discount can be calculated as,

\begin{aligned}{\text{Selling price}}&={\text{325}}-32.5\n&=292.5\n\end{aligned}

Therefore, the amount we have to pay to Store C is \boxed{\$292.5}.

It can be clearly seen that if we buy an item which is priced at $360 from Store A then we have to pay least amount of $291.6.

Learn more:  

1. Learn more about profit and loss brainly.com/question/2479097

2. Learn more about domain and range of thefunctionbrainly.com/question/3412497

3. Learn more about the word problem for magnitude of the acceleration brainly.com/question/1597065

Answer details:

Grade: Middle school

Subject: Mathematics

Chapter: Profit and Loss

Keywords: Percentage , profit , loss, discount, cost price, selling price, marked price, rate of discount, amount, succesive discount, reduction, maximum, price .
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