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3 years ago

Can someone help please?

Mathematics

1 answer:

Vlada [557]3 years ago

5 0

Answer:

Step-by-step explanation:

Vertex of the given parabola = (1, -4)

Since, vertex form of a parabola is given by,

y = (x - h)² + k

Here (h, k) is the vertex

Now substitute the coordinates (1, -4) in the equation.

y = (x - 1)²- 4 [Vertex Form]

Further solve this equation,

y = x² - 2x + 1 - 4

y = x² - 2x - 3 [Standard form]

Further write this equation in the factored form,

y = x² - 3x + x - 3

y = x(x - 3) + 1(x - 3)

y = (x + 1)(x - 3) [Factored form]

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The events "male” and "buys lunch” are not independent because

kvv77 [185]

The events "male” and "buys lunch” are not independent because P(male | buys lunch) = 0.4 and P(male) = 0.3.

<h3>Complete question</h3>

James surveyed people at school and asked whether they bring their lunch to school or buy their lunch at school more often. The results are shown below.

Bring lunch: 46 males, 254 females

Buy lunch: 176 males, 264 females

The events "male" and "buys lunch" are not independent because

<h3>How to determine the probability?</h3>

The number of male students is:

Male = 46 + 176

Male = 222

The number of female students is:

Female = 254 + 264

Female = 518

The total student is:

Total = 222 + 518

Total = 740

Next, calculate the probability of selecting a male student

P(Male) = 222/740

P(Male) = 0.3

Of all the 440 that buy lunch, 176 are male,

So, we have:

P(male | buy lunch) = 176 / 440

P(male | buy lunch) = 0.4

Because

P(male | buy lunch) and P(male) are not equal.

Then, the events "male” and "buys lunch” are not independent

Read more about probability at:

brainly.com/question/25870256

#SPJ1

3 0

2 years ago

In which quadrant does the point (16, 21) lie?

valentina_108 [34]

Answer:

The top right quadrant

Step-by-step explanation:

This is because both the X and the Y are positive numbers meaning they are in the top right quadrant

3 0

3 years ago

Help me asap

Anastaziya [24]

Answer:

y = x - 2 could not be the function equation.

Step-by-step explanation:

The function with an input of 3 has an output of 5.

So, y = 2x - 1 can be the function as y(3) = 2 × 3 - 1 = 6 - 1 = 5.

Now, y = x + 2 can also be the function as y(3) = 3 + 2 = 5

Again, y = 3x - 4 can also be the function as y(3) = 3 × 3 - 4 = 9 - 4 = 5

But y = x - 2 can not be the function as y(3) = 3 - 2 = 1 ≠ 5

Therefore, y = x - 2 could not be the function equation. (Answer)

4 0

3 years ago

Write an expression equivalent to 10+2m by factoring out the greatest common factor from the two terms

Rina8888 [55]

The greatest common factor is 2. So you have to factor out 2 from the equation. So it is (5+m)2.

5 0

3 years ago

Ace car rental rents cars for x dollars per day plus y dollars for each time mile driven. Carlos rented a car fir 4 days, drove

kati45 [8]

4x + 160y = 120
and
1x + 240y = 80

that will be be the equations. if we multiply the bottom equation by 4 we get:
4x + 960y = 320

now subtract one equation from another:
4x + 160y = 120
-(4x + 960y = 320)

and get:
-800y = -200
y = $0.25

now plug this into one equation
x +240(.25) = 80
x + 60 = 80
x = $20

so $20 per day and $0.25 per mile

4 0

3 years ago