you have an ant farm with 34 ants. the population of your ants will double every 3 months. the table shows the population growth of the ants over 9 months. decide whether the table represents a linear function or a nonlinear function. after one year how many ants will there be on the farm?​

Answer:

The quartile 3 is 0.3

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

[tex]f(x) = \mu e^{-\mu x}[/tex]

In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.

The probability that x is lower or equal to a is given by:

[tex]P(X \leq x) = \int\limits^a_0 {f(x)} \, dx[/tex]

Which has the following solution:

[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]

The probability of finding a value higher than x is:

[tex]P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}[/tex]

X~Exp (0.2)

This means that [tex]m= 0.2, \mu = \frac{1}{0.2} = 5[/tex]

Find the quartile 3.

The 3rd quartile is the 75th percentile, for which [tex]P(X \leq x) = 0.75[/tex], or [tex]P(X > x) = 1 - 0.75 = 0.25[/tex]

Since

[tex]P(X > x) = e^{-\mu x}[/tex]

[tex]e^{-5x} = 0.25[/tex]

[tex]\ln{e^{-5x}} = \ln{0.25}[/tex]

[tex]-5x = \ln{0.25}[/tex]

[tex]x = -\frac{\ln{0.25}}{5}[/tex]

[tex]x = 0.277[/tex]

Rounding to the nearest tenth, the quartile 3 is 0.3.

Answer:

See answers below

Step-by-step explanation:

Perimeter of a square = 4L

L sis the side length of the square

L = 5x^4y^2

perimeter = 4(5x^4y^2)

perimeter = 20x^4y^2

2) Length = 6x-10

Width = 4x+3

Area of rectangle = Length * Width

Area of rectangle = (6x-10)(4x+3)

Area of rectangle = 24x^2+18x-40x-30

Area of rectangle= 24x^2-22x-30

perimeter = 2(L+W)

perimeter 2(6x-10+4x+3)

perimeter = 2(10x-7)

perimeter  = 20x-14

Hence the perimeter of the rectangle is 20x-14

Pierre and Jen collect badges. Pierre has 3 times as many badges as Je

This can be shown by p= 3j, where p = the number

Answer:

18+(93-57)

18+(36)

54

Step-by-step explanation:

Multiply before addition.Using bodmas

Answer:

a) The point estimate of the population proportion of adults who lack confidence they will be able to afford health insurance in the future us 0.58.

b) The margin of error is of 0.03.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

Point estimate:

The point estimate is [tex]\pi[/tex].

Margin of error:

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

(a) What is the point estimate of the population proportion of adults who lack confidence they will be able to afford health insurance in the future.

579 out of 1007 adults. So

[tex]\pi = \frac{579}{1007} = 0.575[/tex]

Rounding to two decimal places, 0.58

The point estimate of the population proportion of adults who lack confidence they will be able to afford health insurance in the future us 0.58.

(b) At 90% confidence, what is the margin of error

90% confidence level

So [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]M = 1.645\sqrt{\frac{0.58*0.42}{1007}}[/tex]

[tex]M = 0.03[/tex]

The margin of error is of 0.03.

Answer:

The figure in the upper right corner.

A trapezoid has two parallel sides

Step-by-step explanation:

Answer:

The answer would be the shape on the right side on the top! NOT THE Rectangle (on the right bottom side)  or the rhombus (on the left top side). The shape on the left bottom side IS a trapezoid.

Hope that helps. And this wasnt worth 40 points, it was only 5 points!?

Answer:

Step-by-step explanation:

the first picture shows that two sides are the same and one angle so you know it's a SAS,    the one tick mark and that the two trialge share one common side is how you know 2 sides are the same,  and the 90 °  corner symbol shows you know an angle in each , that is also the same.

the second picture shows 3 sides the same  so SSS,  the triangles share one side, and have the tick marks, showing that each of the respective sides are the same.  

:)

Answer:

x > 16

Step-by-step explanation:

3/4x > 12

3x > 48

x > 16

hope this helps

Answer: move the medium desk to the left peg. Move the small desk to the left peg. Move the large desk to the right peg. With the small disc to the middle peg. Move the middle desk to the right peg. With the small desk to the right peg.

Step-by-step explanation:

Answer:

Move the medium disk to the left peg.

Move the small disk to the left peg.

Move the large disk to the right peg.

Move the small disk to the middle peg.

Move the middle disk to the right peg.

Move the small disk to the right peg.

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

i thing bbbbbbbbbbbbb

Answer is in the photo. I can't attach it here, but I uploaded it to a file hosting. link below! Good Luck!

tinyurl.com/wpazsebu

Answer:

Step-by-step explanation:

Answer:

I believe the amount that the shopkeeper would've paid for the stove is $2083

Step-by-step explanation:

2500×100/120 = 2083.33

Answer:

28.3

Step-by-step explanation:

2 x r x pi = 9 x pi = 28.27433388

to the nearest tenth 28.3

Answer:

x=19

HOPE THIS HELPS

-Todo <3

Step-by-step explanation:

6x+3x-5+14=180

9x+9=180

   -9    -9

9x=171

/9   /9

x=19

Answer:

1. he started with 15 and 5 per week. w is week

a is andre

a = 15 + 5w

Step-by-step explanation:

Answer: 1. Y= 5x + 15

2. Start at 15 and go up 5

3.when they both had the same amount of money at the same time

Step-by-step explanation:

Answer:

2.6>2.59 - Yes

2.09=2.9- No

9514 1404 393

Answer:

  -0004.00

Step-by-step explanation:

The segment has a "rise" of -4 units for the "run" of 1 unit between x=2 and x=3. Then the slope is ...

  slope = rise/run = -4/1 = -4

Answer:

8 weeks

Step-by-step explanation:

Given data

Matteo

Amount= $400

Spending per week= $10

Hence his balance after x weeks is given as

y=400-10x-------------1

Luca

Amount= $200

Spending per week= $15

Hence his balance after x weeks is given as

y=200+15x-------------2

Equate 1 and 2

400-10x=200+15x

collect like terms

400-200=15x+10x

200=25x

x= 200/25

x= 8 weeks

Hence it will take 8 weeks

Answer:f is the answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

Take the paying multiply by months then take the years - the total loan

so you'd have 568.97(12)30-150000=54829.20

Answer:

6.5

Step-by-step explanation:

im doing this for points ok

The solution is, it take 6.5 hours for the container to empty.

Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

here, we have,,

given that,

A container holds 54.6 gallons of liquid.

The container leaks 8.4 gallons per hour.

i.e. we get,

8.4 gallons leak in 1 hour

so, 54.6 gallons will leak in = 54.6/ 8.4 hours

now, we get,

54.6/ 8.4

=6.5

Hence, The solution is, it take 6.5 hours for the container to empty.

To learn more on division click:

brainly.com/question/21416852

#SPJ3

Answer:

The answer to part B is B.

Step-by-step explanation:

Could you take another photo so I can see the bottom of the page?

Answer:

Samia Suluhu HassanStep-by-step explanation:

Answer:

The current president of the United Republic of Tanzania is

Her excellency Mama Samia Suluhu Hassan.

Step-by-step explanation:

Respect to this woman .

She is from the beautiful island of Zanzibar.

UR of Tanzania is a union government of Tanganyika and Zanzibar .

Currently the president ofZanzibar is from Zanzibar islands and the president of Tanzania also is from Zanzibar islands

Respectt to Zanzibar islands.

Answer:

-1,-3 is on quadrant 3

-1,7 is on quadrant 2

Step-by-step explanation:

Answer:

its B and C

Step-by-step explanation:

9514 1404 393

Answer:

  3.77

Step-by-step explanation:

For daily compounding, the balance is ...

  A = P(1 +r/365)^n . . . . principal P invested at annual rate r for n days

  A = 1000(1 +0.055/365)^25 ≈ 1003.77

Of this amount, 1000 is the original principal. The difference is the interest.

The interest earned is 3.77.

Answer:

3/8

Step-by-step explanation:

After spending 3/8 of her money on a bag, she has 5/8 of the original amount of money left. As she gave 2/5 of the remaining amount of money to her sister, she gave 1/4 of the original amount of money to her sister (5/8 × 2/5 = 1/4). Therefore, there's only 3/8 (1 - 3/8 - 1/4 = 3/8) of the original amount of money left in her bag.

Answer:

10 dollars

Step-by-step explanation:

he is racking in the money

answer is 90Kg/m3

use this formula : Density = mass / volume