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2 years ago

On a piece of paper, graph f(x)={2x if x <3

Mathematics

1 answer:

Lostsunrise [7]2 years ago

4 0

Answer:

The choice that matches the graph of the function as is defined to us is:

Graph A.

Step-by-step explanation:

We are given a function f(x) as:

f(x)= 2x if x < 3

and 4 if x ≥ 3

This means that in the region (-∞,3) the graph of a function is a straight line that passes through the origin and has a open circle at x=3.

and in the region [3,∞) the graph is a straight horizontal line i.e. y=4.

Hence, the graph of this function is:

Graph A.

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The sum of Emma’s age and her sisters age is 41 years. Emma is 11 years older than her sister. What is Emma’s age and what is he

meriva

Emma’s age is 26 and her sister is 15 because 26 - 15 = 11 (The age that Emma is older by) and once you add 26 and 15, it equals 41

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2 years ago

Three boards are placed end to end to make a walkway. The first board is 4 feet 5 inches long, the second board is 6 feet 9 inch

Kazeer [188]

Answer:

15 feet and 1 inch long

Step-by-step explanation:

add up the feet: 4+6+3= 13 feet

add up the inches: 5+9+11 = 25 inches

25/12= 2 feet 1 inch

13 feet + 2 feet + 1 inch= 15 feet 1 inch

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2 years ago

A bus traveling from Philadelphia to Boston travels at an average speed of 55 miles per hour. The bus stops for 1 hour halfway b

igor_vitrenko [27]

55t+1=310
hope this helps you

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2 years ago

On the island of liars each inhabitant lies with probability 2/3. You overhear an inhabitant making a statement. Next you ask an

bonufazy [111]

Answer:

The probability that the inhabitant spoke thruthfully given than the other one says so is 1/4.

Step-by-step explanation:

Let A be the event 'the first inhabitant speaks the truth' and B the event the person you asked speaks the truth'

We have that

P(A) = P(B) = 1/3

The second person will say that the first person speaks the truth if:

- Both are lying

- Both are saying the truth

The probability that both inhabitants lies is 2/3 * 2/3 = 4/9

The probability that both inhabitants speaks the truth is 1/3² = 1/9

Therefore, in this problem, we want to know P(A ∩ B | (A∩ B) ∪ (A^c ∩ B^c) )

(note that, since the second persons says that A didnt lie, then in order for it to be true then the second person have to also say the truth).

We know that P(A ∩ B) = 1/9 and P((A∩ B) ∪ (A^c ∩ B^c)) = 4/9 + 1/9 = 5/9. Using the bayes formula we have

P(A ∩B | (A∩ B) ∪ (A^c ∩ B^c) ) = P((A∩ B) ∪ (A^c ∩ B^c) | A ∩ B) * P(A∩ B)/ P((A∩ B) ∪ (A^c ∩ B^c))

Note that P((A∩ B) ∪ (A^c ∩ B^c) | A∩B) = 1 because the condition is more restrictive than the probability we are asking for, therefore

P(A ∩B | (A∩ B) ∪ (A^c ∩ B^c) ) = P(A∩ B)/P((A∩ B) ∪ (A^c ∩ B^c)) = (1/9) / (4/9) = 1/4.

The probability that the inhabitant spoke thruthfully given than the other one says so is 1/4.

7 0

2 years ago

It is believed that 3/4 of our dreams involve people that we know. Write an expression to describe the number of dreams that fea

professor190 [17]

3/4 of dreams = 3/4 of 'd'

The expression is $\frac{3}{4}d$

When d = 28
Number of dreams = $\frac{3}{4}(28)= \frac{3*28}{4}=21$

Answer: 21 dreams

6 0

2 years ago