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marissa [1.9K]
3 years ago
12

X2 +x − 4 = 0

Mathematics
1 answer:
Rus_ich [418]3 years ago
3 0

Answer:

  • a=1
  • b=1
  • c=-4
  • x =  (-1 ±√17)/2

Step-by-step explanation:

The coefficient of x^2 is "a". That is 1.

The coefficient of x is "b". That is 1.

The constant term is "c". That is -4.

The values of a, b, and c are 1, 1, and -4, respectively.

_____

The solution is ...

  x = (-b ±√(b^2-4ac))/(2a)

Filling in the values of a, b, and c, this is ...

  x = (-1 ±√(1^2 -4·1·(-4)))/(2·1)

  x = (-1 ±√17)/2

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A taste test asks people from Texas and California which pasta they prefer,
melamori03 [73]

Answer:

Yes, they are independent because P(Texas) ≈ 0.45 and P(Texas/brand A) ≈ 0.45.

Step-by-step explanation:

We are given that a taste test asks people from Texas and California which pasta they prefer,  brand A or brand B. The table is given in the question.

A person is randomly selected from those tested.

And we have find that are being from Texas and preferring brand A independent events or not.

Firstly, we know that these two events will be independent when;

               P(Texas) = P(Texas/brand A)

Now, P(Texas) =  \frac{\text{Number of people from Texas}}{\text{Total number of people}}

                        =  \frac{125}{275}  ≈ 0.45

Also,  P(Texas/brand A)  =  \frac{P(Texas \bigcap Brand A)}{P(Brand A)}

                                        =  \frac{\text{Number of people from Texas and preferring brand A}}{\text{Number of people preferring brand A}}

                                        =  \frac{80}{176}  ≈ 0.45

Therefore, being from Texas and preferring brand A are independent events because P(Texas) ≈ 0.45 and P(Texas/brand A) ≈ 0.45.        

6 0
3 years ago
A child walks 3/10 of a mile in 1\5 hour. At this rate, how far will the child walk in 1 hour
defon

Answer:

1½ mile

Step-by-step explanation:

Given

3/10 mile = ⅕ hour

Required

Determine the distance in 1 hour

Since rate is constant, we have:

3/10 mile = ⅕ hour

Multiply both sides by 5

5 * 3/10 mile = ⅕ hour * 5

15/10 mile = 5/5 hour

3/2 mile = 1 hour

1½ mile = 1 hour

Hence,the child will walk 1½ mile in 1 hour

8 0
4 years ago
Which product is better to buy small 18 ounces for $3.25 or large 32 ounces for 5.50
labwork [276]

Answer:

the 32 ounce is the better buy

Step-by-step explanation:

if you bought two small products the ounces would equal up to 36 but then the cost would be more than 5.50 it would be 6.50

8 0
3 years ago
3. A fast food restaurant has the following options for toppings on their hamburgers: mustard, ketchup, mayo, onions,
Hunter-Best [27]

Answer:

35

Step-by-step explanation:

Given that a fast food restaurant has the following options for toppings on their hamburgers: mustard, ketchup, mayo, onions,  pickles, lettuce, and tomato.

A customer can choose from these 7 options 4 different options in 7C4 ways

This is because order does not matter here

So we use combinations here

Total no of ways a customer choose four different toppings from these

options=7C4

=35

Answer is 35

7 0
3 years ago
What is the solution to the system of 4x-3y=1 and y+2x=3?
Svetradugi [14.3K]
By any chance will it be (1,1)
3 0
3 years ago
Read 2 more answers
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