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3 years ago

22nd term: 28, 23, 18, 13,..

Mathematics

1 answer:

Verizon [17]3 years ago

7 0

Answer:

The 22nd Term is -77.

Step-by-step explanation:

The pattern is -5. If you subtract 5 from each starting number you'll get the following number.

Ex: 28 - 23 = 5

23 - 18 = 5

18 - 13 = 5

Subtract 5, 22 times and you will get -77.

I hope this was the most brainliest answer, thank you for letting me help you !

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List S and list T each contain 5 positive integers, and for each list the average (arithmetic mean) of the integers in the list

gtnhenbr [62]

Answer:

Yes, SDS > SDT

Step-by-step explanation:

List S

25, 30, 40, 50, XS

Average list S = 40

So, we could write,

Average list S = 40 = (25 + 30 + 40 + 50 + XS) / 5

Solving for XS

XS = 40 x 5 – 25 – 30 – 40 – 50 = 200 – 145 = 55

SDs = SD (25, 30, 40, 50, 55) = 12.74

List T

30, 40, 45, 50, XT

Average list T = 40

So, we could write,

Average list T = 40 = (30 + 40 + 45 + 50 + XT) / 5

Solving for XT

XT = 40 x 5 – 30 – 40 – 45 – 50 = 200 – 165 = 35

SDT = SD (30, 35, 40, 45, 50) = 7.1

Even at first sight SDS > SDT because 25 is out of the range 30-50, while 45 is within that range.

List S is more spread than list T.

3 0

3 years ago

I’d really appreciate some help :)

olga2289 [7]

Answer/Step-by-step explanation:

The corresponding side lengths of two triangles are always equal. Apply this in solving for x

4. $\frac{9}{6} = \frac{x}{5}$

Cross multiply

$6*x = 5*9$

6x = 45

divide both sides by 6

y = 7.5

5. $\frac{10}{8} = \frac{x}{11}$

Cross multiply

$8*x = 10*11$

8x = 110

divide both sides by 8

x = 13.75

6. $\frac{12}{x} = \frac{7}{4}$

Cross multiply

$x*7 = 12*4$

7x = 48

divide both sides by 7

x = 6.86 (nearest hundredth)

7 0

3 years ago

Can someone solve this? Thanks

xxTIMURxx [149]

Answer:

k = $\frac{13}{2}$

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y-intercept )

note the line crosses the y-axis at - 3 ⇒ c = - 3

y = 2x - 3 ← is the equation of the line

Since (k, 10) lies on the line then the coordinates of the point make the equation true.

substitute (k, 10) into the equation and solve for k

10 = 2k - 3 ( add 3 to both sides )

13 = 2k ( divide both sides by 2 ), hence

k = $\frac{13}{2}$

3 0

3 years ago

A machine is used to fill plastic bottles with bleach. A sample of 18 bottles had a mean fill volume of 2.007 L and a standard d

abruzzese [7]

Answer:

The 99% confidence interval for the difference between the mean fill volumes at the two locations is;

-0.1175665 L < μ₁ - μ₂ < 0.1295665 L

Step-by-step explanation:

The number of bottles in the sample at the first location, n₁ = 18 bottles

The mean fill volume, $\bar{x}_{1}$ = 2.007 L

The standard deviation, σ₁ = 0.010 L

The number of bottles in the sample at the second location, n₂ = 10 bottles

The mean fill volume, $\bar{x}_{2}$ = 2.001 L

The standard deviation, σ₂ = 0.012 L

The nature of the variance of the two samples = Equal variance

The confidence interval of the statistics, C = 99%

The difference between the mean

$\mu_1 - \mu_2 = \left (\bar{x}_{1}- \bar{x}_{2} \right )\pm t_{\alpha /2} \times \sqrt{\dfrac{\sigma _{1}^{2}}{n_{1}}+\dfrac{\sigma _{2}^{2}}{n_{2}}}$

(1 - C)/2 = (1 - 0.99)/2 = 0.005, the degrees of freedom, f = n₁ - 1 = 10 - 1 = 9

∴ $t_{\alpha /2}$ = 3.25

Therefore, we have;

$\mu_1 - \mu_2 = \left (2.007- 2.001 \right )\pm 3.25 \times \sqrt{\dfrac{0.01^{2}}{18}+\dfrac{0.12^{2}}{10}}$

Therefore, we have the difference of the two means given as follows;

-0.1175665 L < μ₁ - μ₂ < 0.1295665 L

8 0

3 years ago

The drawing has a scale of 2/5in = 4ft. What is the actual length of a bus

ale4655 [162]

I think the answer is 10 feet long

4 0

2 years ago