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Allisa [31]
3 years ago
6

Work out m and c for the line:3x+2y-1=0

Mathematics
1 answer:
zhuklara [117]3 years ago
8 0

Answer:

3x + 2y - 1 = 0 \\ 2y =  - 3x + 1 \\ y =  -  \frac{3}{2} x +  \frac{1}{2}  \\ from \: general \: equation \:  \: y = mx + c \\ by \: comparison \\ m =  -  \frac{3}{2}  \\ c =  \frac{1}{2}

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A certain unsavory bar for poker-playing dogs is attended by only two types of dogs: "good dogs" and "bad dogs." For a randomly
SVETLANKA909090 [29]

Answer: The required probability is 0.1923.

Step-by-step explanation:

Since we have given that

Probability that it's a good dog = 0.4

Probability that it's a bad dog = 1-0.4 = 0.6

Probability that the dog smokes given that its a bad dog = 0.7

Probability that it smokes given that its a good dog = 0.25

According to question, probability of smoking pipe would be

P(good).P(Smoking pipe|good)+P(bad).P(smoking pipe|bad)

0.4\times 0.25+0.6\times 0.7\\\\=0.1+0.42\\\\=0.52

So, Probability of getting a good dog given that it is smoking pipe is given by

\dfrac{P(good).P(smoking\ pipe|good)}{P(smoking\ pipe)}\\\\=\dfrac{0.4\times 0.25}{0.52}\\\\=\dfrac{0.1}{0.52}\\\\=0.1923

Hence, the required probability is 0.1923.

3 0
2 years ago
Read 2 more answers
Find the slope of every line that is perpendicular<br> to this one
ArbitrLikvidat [17]

Answer:

1

Step-by-step explanation:

The slope of this line is -1 or -1/1, and to find the perpendicular slope you find the opposite of the reciprocal, which in this case would be 1/1 which simplifies to 1.

7 0
3 years ago
Molly had a $12 gift card to download music. She bought 8 songs that each cost the same amount. Write a variable equation, then
inn [45]

Answer:

1.Equation ----- 8x=12

2. x=1.5

3. cost of a single song is $1.5

4.$12 gift card will download 8 songs

Step-by-step explanation:

The amount of money the gift card holds is $12

Number of songs bought= 8 songs

Let the cost of a single song to be =$x

The cost of 8 songs will be =$x × 8=$ 8x

So the 8 songs will all cost $12

This means; $ 8x = $12

Equation------ 8x=12

Finding cost of a single song

8x=12------------------divide by 8 both sides

x=12/8------------------simplify

x=3/2 = $ 1.5

Checking for solution

if a single song costs $1.5 , who many songs can a gift card with $12 download?

Here we divide $12 by $1.5 = $12/$1.5= 8 songs------------correct number of songs as mentioned in the question.

7 0
3 years ago
What are some examples of how you have used, or could use, algebraic equations to solve problems in your everyday life?
pshichka [43]
We use algebraic equations in our daily lives without knowing it. For example, when we go shopping, calculate grocery expenses, or even fill our gas tanks, we are using equations. Let's say we needed to fill our gas tank, but we only had $15.00 to do so. If the price of gas is $3.00 per gallon, how many gallons could we buy? We use the simply algebraic equation of \frac{x}{y} to calculate the total gallons that can be bought. x = the money we have. y = price per gallon of gas. \frac{15}{3} = 5. So with $15.00, we can buy 5 gallons of gas; and that is just one example of using an algebraic equation in everyday life!
3 0
3 years ago
Two friends bring hamburger meat to your cookout. One brings 2.7 pounds, and the other brings 3.54 pounds. How much hamburger me
inessss [21]
Answer:
They bought 6.24 pounds of hamburger meat

Explanation:
We are given that:
The first friend brought 2.7 pounds of hamburger meat
The second friend brought 3.54 pounds of hamburger meat

The total amount of hamburger meat they both brought would be simply the summation of what they brought individually.

This means that:
Total amount brought = 2.7 + 3.54
Total amount brought = 6.24 pounds of hamburger meat

Hope this helps :)
4 0
3 years ago
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