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Reptile [31]
3 years ago
7

The graph of an arithmetic sequence is shown.

Mathematics
2 answers:
GalinKa [24]3 years ago
7 0

Answer:

The fifth term is 7

Step-by-step explanation:

Looking at the graph

we have the ordered pairs

(1,5),(2,5.5),(3,6),(4,6.5),(5,7)

so

Let

a_1=5\\a_2=5.5\\a_3=6\\a_4=6.6\\a_5=7

The common difference in this arithmetic sequence is 0.5

The value of the fifth term is a_5

therefore

The fifth term is 7

UkoKoshka [18]3 years ago
6 0

Answer:

<h2>7 is the fifth term.</h2>

Step-by-step explanation:

The graph is showing five different terms: 5, 5.5, 6, 6.5, 7,...

As you can observe, the sequence is growing by a difference of 0.5.

Therefore, the value of the fifth term in the arithmetic sequence is 7, which is represented by the last point.

You might be interested in
It takes 45 minutes for 4 people to paint 5 walls how long does it take 6 people to paint 4 walls
Naily [24]

Answer:

54 Minutes

Step-by-step explanation:

45 minutes/5 walls/4 people=2.25 minutes per person per wall

2.25 times 6 times 4=54 minutes

3 0
3 years ago
Read 2 more answers
The population of a small town is 39,668 and has been continuously declining at a 1.5% a year what will the population be in 13
anyanavicka [17]

Answer:  31, 932.74

Step-by-step explanation:

The population of the small town              =  39,668

Yearly rate of decline                                 = 1.5%

Therefore, to calculate 1.5% of 39,668       = 1.5  x 39,668

                                                                         ------------------

                                                                                  100

                                                                      =   595.02

So, the population is declining by 595.02 on yearly basis.

To ascertain what will the population would have declined to in the next 13 years,

We multiply ,                                                = 595.02 x 13

                                                                      =7,735.26

Now population in 13 years                         = 39,668 - 7,735.26

                                                                      = 31,932.74

                 

                                                                                 

6 0
3 years ago
en una fiesta hay 16 personas de las cuales el 25% son mujeres, luego llegan mas mujeres a la fiesta, de tal manera que ahora lo
coldgirl [10]

Answer:

<u>English (Ingles):</u>
10 Women come to the party.

<u>Spanish (Espanol):</u>

10 Las mujeres vienen a la fiesta.

Step-by-step explanation:

<u>English (Ingles):</u>

We know that there are 16 people there at the start. 25% of those people are women. We can work out by subtracting 100 by 25 that 75% of the p-eople there are men. We need to do 25% of 16 so we can work out how many men and women there are there.

So we find 10% of 16 which is 1.6 then we take off 5% of 1.6 which is 0.08. We then double 1.6 to get 20% which gives us 3.2. We now add on the 5% to make it 25% which gives us 4.

This means 25% of 16 is 4.

This tells us that there are 4 women at the party and 12 men as 16 - 4 = 12.

It now says that more women arrive which makes the percentage for men go down to 60%. We now need to add 5% on to the 25% of women there are which will tell us how many more women there are now and it will let us work out how many women and men there are in total now.

As we can't do this without it giving us 4.8, we know that 25% of people is 4 women which means 50% of people would be 8 women and we make an estimate of how many women have joined which gives us 6 people which means the total amount of women at the party is 10.

<u>Spanish (Espanol):</u>

<u />

Sabemos que hay 16 personas allí al principio. El 25% de esas personas son mujeres. Podemos calcular restando 100 por 25 que el 75% de las personas son hombres. Necesitamos hacer el 25% de 16 para poder calcular cuántos hombres y mujeres hay allí.

Así que encontramos el 10 % de 16, que es 1,6, luego quitamos el 5 % de 1,6, que es 0,08. Luego duplicamos 1,6 para obtener el 20%, lo que nos da 3,2. Ahora sumamos el 5% para convertirlo en 25%, lo que nos da 4.

Esto significa que el 25% de 16 es 4.

Esto nos dice que hay 4 mujeres en la fiesta y 12 hombres como 16 - 4 = 12.

Ahora dice que llegan más mujeres lo que hace que el porcentaje de hombres baje al 60%. Ahora necesitamos agregar un 5% al ​​25% de mujeres que hay, lo que nos dirá cuántas mujeres más hay ahora y nos permitirá calcular cuántas mujeres y hombres hay en total ahora.

Como no podemos hacer esto sin que nos dé 4.8, sabemos que el 25% de las personas son 4 mujeres, lo que significa que el 50% de las personas serían 8 mujeres y hacemos una estimación de cuántas mujeres se han unido, lo que nos da 6 personas que significa que la cantidad total de mujeres en la fiesta es 10.

4 0
2 years ago
For science class, Sammy is using the length of his stride to measure the length of a field. He finds that the field is 157 stri
USPshnik [31]

Answer: 219.8 meters

Step-by-step explanation:

Since his stride measures 1.4 meters and the length of the field is 157 strides, then the length of the stride in meters is 157*1.4 meters.

= 219.8 meters

4 0
2 years ago
A consumer affairs investigator records the repair cost for 4 randomly selected washers. A sample mean of $64.26 and standard de
Mashutka [201]

Answer:

Critical value: z = 1.28

The 80% confidence interval for the mean repair cost for the washers is between $46.487 and $82.033.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.80}{2} = 0.10

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha

So it is z with a pvalue of 1-0.1 = 0.9, so z = 1.28

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

So

M = 1.28*\frac{27.77}{\sqrt{4}} = 17.773

The lower end of the interval is the mean subtracted by M. So 64.26 - 17.773 = $46.487.

The upper end of the interval is M added to the mean. So 64.26 + 17.773 = $82.033.

The 80% confidence interval for the mean repair cost for the washers is between $46.487 and $82.033.

7 0
3 years ago
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