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3 years ago

Everything is in the picture

Mathematics

1 answer:

Dmitrij [34]3 years ago

4 0

Answer:

-2

Step-by-step explanation:

We have the graph of $y=f(x)$ .

We want to find $f(-6)$ .

In other words, what is the value of the graph when $x=-6?$

We can see that when $x=-6$ , our graph $f(x)$ is at the point B(-6, -2).

Therefore, $f(-6)=-2$

So, our answer is -2.

You might be interested in

The perimeter of a quadrilateral (four-sides polygon) is 50 inches. The longest side is three times as long as the shortest side

kkurt [141]

The side lengths of quadrilateral are 21 inches; 11 inches; 11 inches; 7 inches.

<u>SOLUTION:</u>

Given, the perimeter of a quadrilateral (four-side polygon) is 50 inches.

Let the length of shortest side be n inches. The longest side is three times as long as the shortest side.

That is, length of largest side = 3n inches

The other two sides are equally long and are 4 inches longer than the shortest side.

Then, length of remaining two sides = 4 + n inches

We have to find the length of all four sides.

Now, we know that, perimeter = 50 inches

$\begin{array}{l}{\rightarrow \text { Sum of all sides }=50} \\\\ {\rightarrow n+3 n+n+4+n+4=50} \\\\ {\rightarrow n+3 n+n+n=50-4-4} \\\\ {\rightarrow 6 n=42} \\\\ {\rightarrow n=7}\end{array}$

So, length of sides will be,

$7 \text { inches; } 3\times7=21 \text { inches; } 7+4=11 \text { inches; } 7+4=11 \text { inches. }$

6 0

4 years ago

A family buys airline tickets online. Each ticket costs $167. The family buys travel insurance with each ticket that costs $19 p

Gennadij [26K]

The answer should be 6 tickets

6 0

3 years ago

Alexis is a lawyer. She bills her clients $100 an hour for her services. She can also mow her lawn in 30 minutes. She can hire s

Papessa [141]

Answer:

b) $49

Step-by-step explanation:

The question here is not if Alexis can mow the lawn faster or slower than the person who hires (actually, the time that the person hired took to mow the lawn is irrelevant).

The important part is the time Alexis can save hiring someone:

Alexis mow her lawn in 30 minutes.

Alexis earns $100 an hour. Then 30 minutes of her time is worthy $50.

Then, paying $50 or less is a good choice for Alexis.

Therefore the answer is b) $49.

8 0

4 years ago

100 liters equals what, use the correct unit of measurement to convert Thank you

hram777 [196]

Thanks for the question!

Using the metric acronym:

King - Kilo-
Henry - Hecto-
Died - Deka-
By - Base
Drinking - deci-
Chocolate - centi-
Milk - milli-

Since hecto- is two up from base and 100 has 2 zeros. your answer is a hectoliter.

Hope this helps!

7 0

4 years ago

Starting at 6 a.m. every morning, Matilda receives text messages on her cell phone from her mother, her best friend, and her bro

Dafna1 [17]

Answer:

a) 0.0013 = 0.13% probability that by 7:30 a.m. Mary receives exactly four messages – two of her best friend and two of her mother.

b) $1.6 \times 10^{-9}$ probability that there are no typos in the text messages Matilda receives between 2 p.m. and 5 p.m.

Step-by-step explanation:

Poisson distribution:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given interval.

A) Find the probability that by 7:30 a.m. Mary receives exactly four messages – two of her best friend and two of her mother.

Two from the best friend:

Her best friend sends a message once every 10 minutes.

From 6 to 7:30, there is an hour and a half, that is, 90 minutes, so the mean for her best friend is $\mu = \frac{90}{10} = 9$

Two messages is P(X = 2). So

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 2) = \frac{e^{-9}*9^{2}}{(2)!} = 0.0050$

Two from the mother:

Message every hour = 60 minutes. So $\mu = \frac{90}{60} = 1.5$ . This is P(X = 2).

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 2) = \frac{e^{-1.5}*1.5^{2}}{(2)!} = 0.2510$

Two of her best friend and two of her mother:

Independent events, so the probability of both happening is the multiplication of their separate probabilities.

$p = 0.005*0.251 = 0.0013$

0.0013 = 0.13% probability that by 7:30 a.m. Mary receives exactly four messages – two of her best friend and two of her mother.

B) With a chance of 75% a text message contains a typo independent of the sender. Find the probability that there are no typos in the text messages Matilda receives between 2 p.m. and 5 p.m.

In 3 hours, she is expected to receive:

3*60/10 = 18 messages from her best friend.

3*60/60 = 3 messages from her mother.

3*60/30 = 6 messages from her brother.

In total, 27 messages.

75% probability of a typo, so $\mu = 0.75*27 = 20.25$

This is P(X = 0).

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 0) = \frac{e^{-20.25}*20.25^{0}}{(0)!} = 1.6 \times 10^{-9}$

$1.6 \times 10^{-9}$ probability that there are no typos in the text messages Matilda receives between 2 p.m. and 5 p.m.

8 0

3 years ago

Everything is in the picture​

Everything is in the picture