The number of branches on a large tree after the year 2000 is represented by the following table:
Time (years)
Branches

Which model for B(t), the number of branches t years after the year 2000, best fits the data?

Step-by-step explanation:

you have to have some number for someone to solve it

Answer:

min: 56

lower quartile: 70

median: 74

upper quartile: 80

max: 86

Answer:It would be 40•.25=10

Step-by-step explanation: which means 40-10=30 so it’d be .25 and you’d move the decimal over 2 spots so it’d be 25% off

Answer:

the function is an exponential funtion.

Step-by-step explanation:

learned it

Answer:

its D

Step-by-step explanation:

got it right on edge

Answer:

d

Step-by-step explanation:

edge 2021

Data for the question :

102.05 99.85 112.3 97.15 111.23 105.37 105.64 106.5 102.97 107.82 106.36 111.24 107.28 114.14 106.28 106.96 98.25 111.55 107.75 101.02 101.12 97.7 97.66 100.54 115.77 112.91 111.04 112.15 102.87 101.14 107.13 108.56 109.56 103.57 108.68 104.59 116.74 116.22 100.22 103.97 111.2 109.34 115.78 101.59 107.93 104.23 96.25 103.84 102.47 102.96 99.26 101.42 108.58 107.69 99.88 102.71 111.25 99.4 117.04 106.35 110.44 102.34 107.25 107.63 105.2 109.14 115.54 101.51 108.49 112.32 109.27 97.54 102.46 105.94 109.42 111.05 102.63 106.99 102.03 108.84 118.8 108.64 95.35 105.47 104.45 102.15 111.4 108.27 104.82 108.4 109.05 116.11 103.7 121.2 99.62 102.81 109.56 103.35 113.02 103.79

Answer:

Range = 25.35

Variance = 29.46

Standard deviation = 5.43

The variation in price of Prozac is high

Step-by-step explanation:

The range of the data :

Maximum - Minimum.

121.2 - 95.35 = 25.35

The variance, s :

s² = Σ(X - m²) / n - 1

Mean, m = Σx / n

X = individual data point

m = mean of data

n = sample size

Using a calculator of save time and ensure accuracy :

s² = 29.45522

The standard deviation, s

s = sqrt(variance)

s = sqrt(s²)

s = sqrt(29.45522)

s = 5.42726.

The range, variance and standard deviation, all measure the degree of variation in a dataset. The values of these statistical measure obtain for the price of 1 product across different pharmaceutical stores, suggests thatvthe variation in price is high;

With a range of about 25.35 and standard deviation of 5.43

Answer:

Step-by-step explanation:

1. j

2. k

3. L

4. Lj

5. kL

6. jk

Answer:

J= Javiers age

5J=60

5J/5= 60/5

J= 12

Check:

5(12)= 60

60=6p

Step-by-step explanation:

see answer

hope this helps

Answer:

\(a_{n}\) = 8\(a_{n-1}\) ; a₁ = - 2

Step-by-step explanation:

a recursive formula in a geometric sequence allows a term to be found by multiplying the preceding term by the common ratio r

here r = \(\frac{a_{2} }{a_{1} }\) = \(\frac{-16}{-2}\) = 8 , then

\(a_{n}\) = 8\(a_{n-1}\) ; a₁ = - 2

The probability of Ronald reds winning is  o.375 or 37.5%.

The possibility of an event happening divided by the total number of possible outcomes is another way to define probability. When there are several events, the probability is calculated by dividing each likelihood into a distinct computation, adding the results together to produce a single probable result.

The ratio of favorable outcomes to all possible outcomes is the same as the probability of an event. Probabilities are always in the 0 to 1 range. The generic probability equation can be written as follows:

Probability is calculated as the ratio of the number of favorable outcomes to all possible outcomes.

Where,P(A) is the likelihood that event A will occur, and f is the total number of possible outcomes (frequency),N is the total number of conceivable outcomes.

According to question,

P(A)=P(number greater than 5),

number greater than 5=6,7,8 in spin so,number of possible outcomes is 3

so,f=3 and total number of outcomes N =8

⇒P(A)=0.375

or P(A)=37.5%

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The complete question is:

Answer:

418

Step-by-step explanation:

Answer:

418 because just multiply it

Based on the net present value profile, Project H has a higher NPV than Project E.

To compare the net present value (NPV) of Project E and Project H, we need to calculate the present value of cash flows for each project and determine which one has a higher NPV. The cash flow patterns for the two projects are as follows:

Project E:

Initial investment: -$100,000

Cash flows for Year 1: $40,000

Cash flows for Year 2: $50,000

Cash flows for Year 3: $60,000

Project H:

Initial investment: -$120,000

Cash flows for Year 1: $60,000

Cash flows for Year 2: $50,000

Cash flows for Year 3: $40,000

To calculate the present value of cash flows, we need to discount them using an appropriate discount rate. The discount rate represents the required rate of return or the cost of capital for the company. Let's assume a discount rate of 10%.

Using the formula method, we can calculate the present value (PV) of each cash flow and sum them up to obtain the NPV for each project:

For Project E:

PV = $40,000/(1 + 0.10)^1 + $50,000/(1 + 0.10)^2 + $60,000/(1 + 0.10)^3

PV = $36,363.64 + $41,322.31 + $45,454.55

PV = $123,140.50

For Project H:

PV = $60,000/(1 + 0.10)^1 + $50,000/(1 + 0.10)^2 + $40,000/(1 + 0.10)^3

PV = $54,545.45 + $41,322.31 + $30,251.14

PV = $126,118.90

Using the financial calculator method, we can input the cash flows and the discount rate to calculate the NPV directly. By entering the cash flows for each project and the discount rate of 10%, we find that the NPV for Project E is approximately $123,140.50 and the NPV for Project H is approximately $126,118.90.

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The value of f(x) when x is 3 is 15

A Function in mathematics is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

For example, if f(x) = x² +2x +5 , the value of f(x) when x is 2 is calculated as;

f(x) = 2² + 2(2) + 5

f(x) = 4 +4+5

= 13

This done by substituting the given value of x into the expression.

Similarly , if f(x) = 5x, the value of f(x) when x is 3 is calculated as;

f(x) = 5(3)

f(x) = 15

therefore the value of f(x) when x is 3 is 15

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Answer:

a) figure A

b) none of the above

c) figure c

The kangaroo traveled 1.2 km in 3 minutes.

What is distance?

The distance between two points is the length of a straight line segment that links them. The distance of a point from a line is the length of the shortest line segment from the point to the line. This will also be perpendicular to the line.

Given,

kangaroo travel the distance in 5 min = 2

in 1 min, the distance covered by kangaroo = 2/5

and in 3 minutes, kangaroo will traveled = 2/5(3) = 1.2 km.

Hence, the distance covered by the Kangaroo in 3 minutes is 1.2 km.

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The LCM of A = 3² × 5⁴ × 7 and B = 3⁴ × 5³ × 7 × 11 is 3898125 using Prime factorization.

Given are two numbers which are showed in the prime factorized form.

A = 3² × 5⁴ × 7

B = 3⁴ × 5³ × 7 × 11

Prime factorization is the factorization of a number in terms of prime numbers.

In order to find the LCM of these two numbers, we have to first match the common primes and write down vertically when possible and then bring down the primes in each column.

A = 3² ×         5³ × 5 × 7

B = 3² × 3² × 5³ ×       7 × 11

Bring down the primes in each column.

LCM = 3² × 3² × 5³ × 5 × 7 × 11

        = 3898125

Hence the LCM is 3898125.

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Answer:

See below.

Step-by-Step Explanation:

Please refer to the attachment.

If you have any questions, feel free to comment!

Answer:

(-1,-1)

Step-by-step explanation:

theta = -3 pi/4

Changing to degrees =

theta = -3 * 180/4 =-135

x coordinate of -1

The y value would be

= 45

tan 45 = y /1

y = tan 45

y = 1

But we are in the third coordinate so x and y are negative

The coordinates are

(-1,-1)

Answer:

Yes!

Step-by-step explanation:

You can change 11/10 to 1.1 meaning it is!

(There is a website called "Mathisfun.com" In the rational number section that is a great place to look if you need help)

Answer:

Step-by-step explanation:

Tina is training for a biathlon. To train for the running portion of the race, she runs 7 miles each day over the same course. The first 4 miles of the course is on level ground, while the last 3 miles is downhill. She runs 3 miles per hour slower on level.

Step-by-step explanation:

(4-t)(4-t)/2-t

t^2-8t+16/2-t

the domain is all real number without 2

Answer: (a) Using the Z-score formula, we have:

Z = (225 - 180) / 30 = 1.5

Using a standard normal distribution table, we find that the probability of a randomly selected adult weighing more than 225 pounds is approximately 0.0668.

(b) The mean of the sample means is equal to the population mean, which is 180 pounds. The standard deviation of the sample means is given by:

σ/√n = 30/√16 = 7.5 pounds

(c) The total weight of the 16 people in the elevator should not exceed the maximum load of 3,600 pounds. Therefore, the mean weight of the 16 people should not exceed:

3,600 / 16 = 225 pounds

(d) Using the central limit theorem, we can approximate the distribution of the sample means to be approximately normal with a mean of 180 pounds and a standard deviation of 7.5 pounds. To find the probability that the load will be exceeded, we can find the probability that the sample mean is greater than 225 pounds. Using the Z-score formula:

Z = (225 - 180) / 7.5 = 6

Since the Z-score is extremely high, the probability of the sample mean being greater than 225 pounds is extremely low and can be approximated as 0.

Step-by-step explanation:

Answer:

600.5%

Step-by-step explanation:

6.005 × 100 is 600.5%

"per cent" means per hundred, so TIMES by 100 to change a number to a percent. DIVIDE by 100 to change a percent to a decimal number.

Some people memorize this as move the decimal two places to the right (decimal to percent) or left (percent to decimal)

Using the same-side interior angles theorem,

\(8x+30+6x+24=180 \\ \\ 14x+54=180 \\ \\ 14x=126 \\ \\ \boxed{x=9}\)

Using vertical angles,

\(6(9)+24=10y+2 \\ \\ 78=10y+2 \\ \\ 10y=76 \\ \\ \boxed{y=7.6}\)

The domain of the relation of the graph representing a relation where x represents the independent variable and y represents the dependent variable is {−4, −2, 0, 3, 5}.

The domain of a relation is the set of all possible input values (independent variable) for which the relation is defined.

Looking at the given points, the x-coordinates are -4, -2, 0, 3, and 5. So, the possible input values are -4, -2, 0, 3, and 5.

Therefore, the domain of the relation is {−4, −2, 0, 3, 5}.

Hence, the correct option is {−4, −2, 0, 3, 5}.

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The perimeter of the figure with side length of 5 units is 50 units

From the question, we have the following parameters that can be used in our computation:

Shape = rectangle

Smaller shapes = squares

Side lengths = 5 units

The perimeter of the figure is calculated as

Perimeter  = Number of visible sides * Side length of the square shape

In this case, we have

Number of visible sides = 10

Substitute the known values in the above equation, so, we have the following representation

Perimeter  = 10 * 5

Evaluate the products

Perimeter  = 50 units

Hence, the perimeter is 50 units

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Answer:

Division

Step-by-step explanation:

PEMDAS

Parenthesis

Exponents

Multiplecation

Division

Addition

Subtraction

You have both exponents and parenthesis, so your third step would be multiplecation, but you don't have that, so it would be division.

Answer:

Step-by-step explanation:

considering A). hemisphere diameter = 48 yd

volume of hemisphere = (2/3)*pi*(r)^3

the radius of hemisphere = diameter/2 = 48/2 = 24 yd

hence, the volume of hemisphere = (2/3)*pi*(24)^3  yd^3

taking pi = 3.14

volume = 28938.24 yd^3 approximately volume = 28940 yd^3

considering B). Circumference of a great circle = 26 m

circumference of sphere = 2*pi*r

therefore r = 4.14 m

volume of sphere = (4/3)*pi*(r)^3

volume of sphere = 297.077 m^3

Answer:

24. A. 28952.9 yd²

B. 297.2 m³

Step-by-step explanation:

24.

A.

diameter=48 yd

radius (r)=diameter/2=48/2=24yd

We have

Volume of Hemisphere= ⅔*πr³=⅔*π*r³

Substituting value

Volume of Hemisphere=⅔*π*24³=28952.9 yd³

B.

Circumference of great circle=2πr=26m

2πr=26

r=26/(2π)

r=4.14

Now

Volume of sphere = 4/3*πr³

Volume of sphere=4/3*π*4.14³=297.2 m³

Answer:

63 cm

Step-by-step explanation:

If Chubby ran his wheel, which has a diameter of 20cm, we want to find its circumference - this will tell us how far Chubby has ran one one full rotation of the wheel.

The formula for the circumference of a circle is \(2\pi r\), where r is the radius. We know the diameter is 20, which is double the radius, so the radius is \(20\div2=10\) cm.

We can know substitute inside the formula:

\(2\cdot \pi \cdot10\\\\2\cdot 3.14 \cdot10\\\\ 6.28\cdot10\\\\62.8\)

62.8 rounded to the nearest cm is 63.

Hope this helped!

Answer:

6280

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

12/18 = 2/3

Answer:c

Step-y-step explanat:c

Answer:

33

Step-by-step explanation: