Find the 250th term of the sequence below 57, 66, 75, 84, 93

1 answer:

4 0

Hello :
93-84 =84-75 = 75-66 = 66-57 = 9 ...( common diference of arithmetic <span>sequence )
Un = U1 + (n-1)d d= 9 and U1 = 57 n = 250
U250 = 57 +249(9) = 2298</span>

You might be interested in

In a circle, a 90° sector has area 16π ft2. What is the radius of the circle?

Veronika [31]

Sector area = 0.5 * r^2 * angle (in radians)

so:

16 pi = 0.5 * r^2 * (90*pi/180)

r^2 = 16 pi /(0.25 pi) = 64

r = 8

therefore it would be d

7 0

2 years ago

A manager records the repair cost for 4 randomly selected stereos. A sample mean of $82.64 and standard deviation of $14.32 are

zysi [14]

Answer:

CI = (70.861 , 94.418)

Step-by-step explanation:

In order to determine the 90% confidence interval you use the following formula (for a population approximately normal):

$CI=(\overline{x}-Z_{\alpha/2}\frac{\sigma}{\sqrt{n}},\overline{x}+Z_{\alpha/2}\frac{\sigma}{\sqrt{n}})$ (1)

$\overline{x}$ : mean = 82.64

σ: standard deviation = 14.32

n: sample = 4

α: tail area = 1 - 0.9 = 0.1

Z_α/2 = Z_0.05: Z factor = 1.645

You replace these values and you obtain:

$Z_{0.05}(\frac{14.32}{\sqrt{4}})=(1.645)(\frac{14.32}{\sqrt{4}})=11.778$

The confidence interval will be:

$CI=(82.64-11.778,82.64+11.778)=(70.861,94.418)$

The 90% confidence interval is (70.861 , 94.418)

6 0

3 years ago

Please help. Thank you

Inessa [10]

Given:

$PQRS\sim TUVW$

In the given figure, PS=x, RS=35, UV=20, VW=25 and TW=15

To find:

The scale factor from PQRS to TUVW.

Solution:

We have,

$PQRS\sim TUVW$

We know that the corresponding sides of similar figures are proportional. The scale factor is the ratio of one side of image and corresponding side of preimage.

The scale factor is:

$k=\dfrac{VW}{RS}$