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3 years ago

IT'S WORTH 50 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Mathematics

1 answer:

Slav-nsk [51]3 years ago

6 0

They will be back together at:
10:20 am

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A. the series is absolutely convergent.

Dovator [93]

$\displaystyle\sum_{n=1}^\infty\left(1+\frac5n\right)^n$

Notice that

$\displaystyle\lim_{n\to\infty}\left(1+\frac5n\right)^n=e^5\neq0$

which means the series is divergent. So if this is one of those "select all that apply" questions, then both (c) and (j) are the only choices that do.

7 0

3 years ago

The life in hours of a 75-watt light bulb is known to be normally distributed with standard deviation σ = 25 hours. A random sam

irina [24]

Answer: a) (1008.34,1019.658) b) (1009.24,1018.76)

Step-by-step explanation:

Since we have given that

n = 75

mean = 1014 hours

Standard deviation = 25 hours

At 95% two sided , z = 1.96

So, confidence interval would be

$\bar{x}\pm z\dfrac{\sigma}{\sqrt{n}}\\\\=1014\pm 1.96\dfrac{25}{\sqrt{75}}\\\\=1014\pm 5.658\\\\=(1014-5.658,1014+5.658)\\\\=(1008.34,1019.658)$

(b) Construct a 95% lower confidence bound on the mean life.

z = 1.65

So, confidence interval would be

$\bar{x}\pm z\times \dfrac{\sigma}{\sqrt{n}}\\\\=1014\pm 1.65\times \dfrac{25}{\sqrt{75}}\\\\=1014\pm 4.76\\\\=(1014-4.76,1014+4.76)\\\\=(1009.24,1018.76)$

Hence, a) (1008.34,1019.658) b) (1009.24,1018.76)

4 0

4 years ago

Julia measured the high temperature in her town for one week. Using the chart below, find the mean absolute deviation for the hi

Alex

Finding the mean is you have to add it all up:
49+55+52+46+47+42+38= 328
The divide it by the amount of numbers so, 329/7= 47.
Subtract 47 from every number then, but even if you get a negative number you gotta keep it a positive so just ignore it if you get a negative answer when subtracting, once you do that you would add up those answers you got so;
2+8+5+1+0+5+9= 30
Then divide it again, 30/7
Which then you get the M.A.D which is 4.3, rounded to the nearest ten.

8 0

2 years ago

Help, two of these questions plz

Olenka [21]

Answer:

First Answer: y= 64 and x=64

Second Answer: 1&4, 2&3, 6&7, 5&8

Step-by-step explanation:

First Answer: 63 and ∠y is the same measure since there are

Second answer: They are vertical angles, each of the pairs of opposite angles made by two intersecting lines.

Hope this helps:)

4 0

3 years ago

Read 2 more answers

Does anyone know how to do this, i’ll give you brainliest and there’s 16 points

leva [86]

6y-4=4y+2

2y=6, so y=3.

Plugging it in, you get that AC equals 4*3+2=14.

This is an isosceles triangle.

6 0

3 years ago