All categories

2 years ago

22. For the sequence 3, 10, 17, 24, ... , write the explicit equation for this sequence, then

Mathematics

1 answer:

Crank2 years ago

7 0

Answer:

see explanation

Step-by-step explanation:

Note the common difference d between consecutive terms

d = 10 - 3 = 17 - 10 = 24 - 17 = 7

This means the sequence is arithmetic with n th term

$a_{n}$ = a₁ + (n - 1)d

Here a₁ = 3 and d = 7, thus explicit formula is

$a_{n}$ = 3 + 7(n - 1) = 3 + 7n - 7 = 7n - 4, thus

$a_{18}$ = (7 × 18) - 4 = 126 - 4 = 122

You might be interested in

Please help me.

mart [117]

Since they are similar both dimensions would have the same ratio. The ratio of 5 and 15 is 3. 15 is 3 times larger than 5, so the unknown dimension is 3 times larger than the known dimension.

3 x 10 = 30

The unknown dimension is 30

5 0

3 years ago

A study was made of seat belt use among children who were involved in car crashes that caused them to be hospitalized. It was fo

borishaifa [10]

Answer:

a) $P(5$

And we can find this probability with this difference:

$P(-1.90$

And using the norma standard distribution or excel we got:

$P(-1.90$

b) $P(X>6) =P(Z> \frac{6-7.37}{1.25}) = P(Z>-1.096)$

And using the complement rule we got:

$P(Z>-1.096) =1-P(Z$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Part a

Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:

$X \sim N(7.37,1.25)$

Where $\mu=7.37$ and $\sigma=1.25$

We are interested on this probability

$P(5$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(5$

And we can find this probability with this difference:

$P(-1.90$

And using the norma standard distribution or excel we got:

$P(-1.90$

Part b

For this case we want this probability:

$P(X>6)$

And we can use the z score and we got:

$P(X>6) =P(Z> \frac{6-7.37}{1.25}) = P(Z>-1.096)$

And using the complement rule we got:

$P(Z>-1.096) =1-P(Z$

8 0

3 years ago

Riley adds 45.3 and 3.21 should his sum be greater than or less than 48 tell how you know

Romashka [77]

His sum should be more than 48.

I know because if you throw away the decimal pieces
and just add up the whole numbers 45 and 3 ,
right there you would have 48 . So when you include
the decimal pieces, they'll make it even bigger.

7 0

3 years ago

Read 2 more answers

<img src="https://tex.z-dn.net/?f=%283%5Csqrt%7B6%7D%29%283%5Csqrt%7B10%7D" id="TexFormula1" title="(3\sqrt{6})(3\sqrt{10}" alt=

mote1985 [20]

18sqrt(15)

This has to be at least 20 characters long so yeaaaa

6 0

2 years ago

$2500 in saving account earing 3,5 perccent interest. what was the the total interest earnedin 6 years

Dvinal [7]

Answer:

$I=\$525$