Here are the ages of 14 adults.

42
35
56
39
40
51
47
38
42
55
42
48
49
41

Draw an ordered stem and leaf diagram for these ages.

Answer:

B & D

Step-by-step explanation:

B & D

Answer:

Given the series,

∑ ∞ n = 1 − 4 ( − 1 / 2 ) n − 1

I think the series is summation from n = 1 to ∞ of -4(-1/2)^(n-1)

So,

∑ − 4 ( − ½ )^(n − 1). From n = 1 to ∞

There are different types of test to show if a series converges or diverges

So, using Ratio test

Lim n → ∞ (a_n+1 / a_n)

Lim n → ∞ (-4(-1/ 2)^(n+1-1) / -4(-1/2)^(n-1))

Lim n → ∞ ((-4(-1/2)^(n) / -4(-1/2)^(n-1))

Lim n → ∞ (-1/2)ⁿ / (-1/2)^(n-1)

Lim n→ ∞ (-1/2)^(n-n+1)

Lim n→ ∞ (-1/2)^1 = -1/2

Since the limit is less than 0, then, the series converge...

Sum to infinity

Using geometric progression formula

S∞ = a / 1 - r

Where

a is first term

r is common ratio

So, first term is

a_1 = -4(-½)^1-1 = -4(-½)^0 = -4 × 1

a_1 = -4

Common ratio r = a_2 / a_1

a_2 = 4(-½)^2-1 = -4(-½)^1 = -4 × -½ = 2

a_2 = 2

Then,

r = a_2 / a_1 = 2 / -4 = -½

S∞ = -4 / 1--½

S∞ = -4 / 1 + ½

S∞ = -4 / 3/2 = -4 × 2 / 3

S∞ = -8 / 3 = -2⅔

The sum to infinity is -2.67 or -2⅔

It looks like the series is

[tex]\displaystyle \sum_{n=1}^\infty \frac{n^{2n}}{(1+n)^{3n}} = \sum_{n=1}^\infty \left(\frac{n^2}{(1+n)^3}\right)^n[/tex]

Checking for convergence is most easily done with the (Cauchy) root test for convergence: the infinite series

[tex]\displaystyle \sum_{n=1}^\infty a_n[/tex]

converges absolutely if the limit

[tex]\displaystyle \lim_{n\to\infty} \sqrt[n]{|a_n|} < 1[/tex]

Here we have

[tex]\displaystyle \lim_{n\to\infty} \sqrt[n]{\left|\left(\frac{n^2}{(1+n)^3}\right)^n\right|} = \lim_{n\to\infty} \frac{n^2}{(1+n)^3} = 0 < 1[/tex]

so the given series converges.

Answer:dont lnow sorry. Only if u give me robux

Step-by-step explanation:

Answer: the answer for x is ( x = 2 (y+8)    a the

answer for y = x-16\2

Answer:

Perimeter=18; Area= 18

Step-by-step explanation:

For perimeter, the vertical sides are 3 and the Horizontal sides are 6. So 6+6+3+3= 18

For area, the vertical side is 3 and the Horizontal side is 6, this 6*3=18

Answer:

[tex]\huge\boxed{\sf <E = 40\°}[/tex]

Step-by-step explanation:

∠E = 1/2 (mCD - mAB)

Where mCD = 110° and mAB = 30°

∠E = 1/2 (110° - 30°)

∠E = 1/2 (80°)

∠E = 40°

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

8

Step-by-step explanation:

8*8 = 64

b*h = a

Answer:

yes it is valid influence because he asked all 25 student in her math class

Answer:

y = 5

Step-by-step explanation:

if y = 5 then

(√10-1) -1 = 2

3 - 1 = 2

true

Answer:

y = 5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Circumference of circle = 2π18 = 36π inches.

40° is 1/9 of a circle. Arc length = 1/9 of circumference = 4π inches.

Answer: transverse and surface waves

Step-by-step explanation:

Answer:

4

Hope it helps

Please mark me as the brainliest

Thank you

common difference = t2 - t1 for all terms.

therefore d = -2 - (-6)

= -2 + 6

= 4

hope it helps :D

Answer:

s= -2

Step-by-step explanation:

Answer:

a) 0.222

b) 0.643

c) 0.811

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

First you do 325 - 13.50 , then you just divide 311.50 by 21.25, and because you cant have .6 of a friend its 14 :)

Answer:

y=4

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation

x=2 is where you could fold the quadratic function and have the sides overlap perfectly

Answer:

i dont know i just need points for more questions sorry

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

A statiscal experiment can be repeated multiple times and is usually random. The number of accidents on the street are random each year, and by comparing them to last year's, it always be random.

Answer:

2.75632 rounded to 5 decimal places

Step-by-step explanation:

a(r^n-1)/r-1 is the formula for sum of geometric series

where a= first term (1.4)

n= number of terms(6)

r= common ratio(0.5)

Answer:

r = 0.732 d = 1.46 C = 4.6

Step-by-step explanation:

Answer:

16.62

Step-by-step explanation:

formula for area of a circle is [tex]\pi r^{2}[/tex] 4.6 is the diameter and radius is 1/2 of diameter so [tex]\pi 2.3^{2}[/tex] is the equation

The fraction of each piece of a cake is 1/6.

Given that, Joe has four birthday cakes to share with his 24 guests joe doesn't eat cake.

We need to find what fraction is each piece of cake.

A fraction represents a part of a whole or, more generally, any number of equal parts. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.

Now, 4 cakes are shared among 24 guests.

So, 24/4=6

Thus, each cake needs to divide into 6 slices.

Therefore, the fraction of each piece of a cake is 1/6.

To learn more about the fractions visit:

https://brainly.com/question/1301963.

#SPJ2

Answer:

25

Step-by-step explanation:

20 : 100 = 5 : x

x = (5 x 100) / 20 = 25

Answer:

Step-by-step explanation:

H0 : μ ≥ 6

H1 : μ < 6

Test statistic :

n = 20

Sample Mean, x = 3

σ = 1.5

Test statistic = (x - μ) ÷ σ/sqrt(n)

Test statistic = (3 - 6) ÷ 1.5/sqrt(20)

Test statistic = - 3 / 0.3354101

Test statistic = −8.944271

Since, sample size is < 30 ;

Obtaining the Critical value using the from T;

Tcritical at 0.05, df = 19 = - 1.729

Tstatistic < Tcritical

−8.944271 < - 1.729

Hence, we reject the Null:

We can conclude that there is significant evidence that the number of complaints received by Lara music store is different from number of complaints received by music stores in general.

Answer:

sin θ/2 = ± √2/13

Step-by-step explanation:

tan θ = - 12/5       (in quadrant 4)      sin θ = - 12/13   and   cos θ = 5/13

sin θ/2 = ± (√1 - cos θ) / 2 = ± (√1 - 5/13) / 2 = ± √8/13 / 2 = ± √2/13

tan θ/2 = (1 - cos θ) / sin θ = sin θ / (1 + cos θ)

Let you to calculate the tan θ/2 part by yourself

Answer:

13

Step-by-step explanation:

it is on 100th place so 100th term is 13

Answer:

401

Step-by-step explanation:

arithmetic sequence formula: an=a1+d(n-1)

n= term # you're looking for

d= common difference

a1= 1st term in sequence

a100=5+4(100-1)

5+4(99)

5+396

a100=401