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3 years ago

Please help me!!!!!!!!!

Mathematics

1 answer:

lara [203]3 years ago

8 0

Answer:

The answer to your question is:

Domain [0, 8)

Range [-3, 1]

f(0) = -3

Step-by-step explanation:

Domain: is the possible values that the "x" can take

Range: are the values that take the function when is evaluated by the independent variable (x).

For this example:

Domain [0, 8) close is zero and open in 8

Range [-3, 1] close in both sides

f(0) = -3

You might be interested in

A survey of 1,000 men and women asked, "Do you earn over $50,000 per year?" The table below shows the responses for males and fe

Effectus [21]

Based on the data, it is found that "being female" and "earning over $50,000" are not independent events. the correct answer is option D.

<h3>What is probability?</h3>

Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Two events, A and B are independent, if:

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

In this problem, the events are:

Event A: Being female.
Event B: Earning over $50,000.

Out of the 1000 people, 450 are female, hence:

P(A) = $\dfrac{450}{1000}$ = 0.45

850 earn over $50,000, hence:

P(B) = $\dfrac{850}{1000}$ = 0.85

375 are women who earn over $50,000, hence:

P(A $\cap$ B) = $\dfrac{375}{1000}$ = 0.375

The multiplication of the probabilities is:

P(A $\cap$ B) = 0.45(0.85} = 0.3825

Therefore based on the data, it is found that "being female" and "earning over $50,000" are not independent events. the correct answer is option D.

To know more about probability follow

brainly.com/question/24756209

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3 0

2 years ago

Write the equation of the conic section with the given properties:

timurjin [86]

Answer:

$\frac{x^2}{64} + \frac{y^2}{25} =1$

Step-by-step explanation:

An ellipse with vertices (-8, 0) and (8, 0)

Distance between two vertices = 2a

Distance between (-8,0) and (8,0) = 16

2a= 16

so a= 8

Vertex is (h+a,k)

we know a=8, so vertex is (h+8,k)

Now compare (h+8,k) with vertex (8,0) and find out h and k

h+8 =8, h=0

k =0

a minor axis of length 10.

Length of minor axis = 2b

2b = 10

so b = 5

General formula for the equation of horizontal ellipse is

$\frac{(x-h)^2}{a^2} + \frac{(y-k)^2}{b} =1$

a= 8 , b=5 , h=0,k=0. equation becomes

$\frac{(x-0)^2}{8^2} + \frac{(y-0)^2}{5} =1$

$\frac{x^2}{64} + \frac{y^2}{25} =1$

5 0

3 years ago

Which option accurately describes a scenario in which a tortoise experiences a displacement of 10 m south? A tortoise starts at

Ahat [919]

Answer:

A tortoise starts at a position of 0 m. It moves 10 m west,10 m east, and then 10 m south.

Step-by-step explanation:

Let's assume southern and eastern movement as positive and northern and western movement as negative. Since we want the displacement, starting position should not be considered.

1-) A tortoise starts at a position of 3 m south. It moves 4 m east, 2 m west, and then 3 m north.

S = -3m

E = 4 - 2 =2m

2-) A tortoise starts at a position of 0 m. It moves 10 m west,10 m east, and then 10 m south.

S= 10m

E= 10 - 10 = 0m

3-) A tortoise starts at a position of 2 m north. It moves 4 m west and then 7 m south.

S= 7m

E= -4m

4-) A tortoise starts at a position of 0 m. It moves 10 m west, 5 m east, and then 5 m south.

S= 5m

E= 5 - 10 = -5m

Analyzing all of the previous scenarios, only one presents a 10 m southern displacement, and that is when the tortoise starts at a position of 0 m. It moves 10 m west,10 m east, and then 10 m south.

4 0

3 years ago

Read 2 more answers

Maaz has a bank account with less than $400 in it. His bank pays no interest on that account, and charges $2 per month for each

Ede4ka [16]

Answer:

Around $352

Step-by-step explanation:

400 -48

5 0

3 years ago

How do i factor this trinomial 5y^2 — 7y — 6

scZoUnD [109]

Answer:

(5y+3) x (y-2)

Step-by-step explanation:

5y^2-7y-6

5y^2+3y-10y-6

y(5y+3(-2(5y+3)

(5y+3) x (y-2)

5 0

3 years ago

Please help me!!!!!!!!!​

Please help me!!!!!!!!!