Assume that a procedure yields a binomial distribution with a trial repeated n times. use the binomial probability formula to find the probability of x successes given the
probability p of success on a single trial. round to three decimal places.
n = 4, x = 3, p =1/6
0.015
0.012
0.004
0.023

Jimmy's age = (serena age + tyler age) - 1

Janelle will earn approximately 729.19 more with the compound interest option compared to the simple interest option over a period of 7 years.

The amount Janelle will earn with the compound interest option can be calculated using the formula for compound interest:

\(A = P(1 + r/n)^{(nt)}\)

Where:
A is the total amount after interest has been compounded
P is the principal amount (the initial deposit)
r is the annual interest rate (expressed as a decimal)
n is the number of times interest is compounded per year
t is the number of years

In this case, Janelle deposits 3,000 at an interest rate of 3% for 7 years. We'll compare the simple interest and compound interest options.

For the simple interest option, the interest is calculated using the formula:

I = P * r * t

Where:

I is the total interest earned

Using the given values, we can calculate the interest earned with simple interest:

I = 3000 * 0.03 * 7
I = 630

Now, let's calculate the total amount earned with the compound interest option.

Since the interest is compounded monthly, the interest rate needs to be divided by 12 and the number of years needs to be multiplied by 12:

r = 0.03/12

t = 7 * 12

Using these values, we can calculate the total amount with compound interest:

\(A = 3000 * (1 + 0.03/12)^{(7*12)}\)

A ≈ 3,729.19

To find out how much more Janelle will earn with the compound interest option, we subtract the initial deposit from the total amount with compound interest:

Difference = A - P
Difference = 3,729.19 - 3,000
Difference ≈ 729.19

Therefore, Janelle will earn approximately 729.19 more with the compound interest option compared to the simple interest option over a period of 7 years.

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The area of the rectangle is 231 square meters.

To find the area of a rectangle, we need to multiply its length by its width.

Given that the length of the rectangle is 21 meters and the width is 11 meters, we can find the area as:

Area = Length x Width

Area = 21 meters x 11 meters

Area = 231 square meters

Therefore, the area of the rectangle is 231 square meters.

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Answer:

0,13

Step-by-step explanation:

the answer of the question is 14/25

The major shortcoming of the general linear probability model y = β0 + β1x1 + β2x2 + … + βkxk + ε, is that the predicted values of y can be sometimes greater than 1 or less than 0.

The linear probability model does not take into account the fact that probabilities are bounded between 0 and 1. As a result, the predicted values of y can sometimes fall outside of this range, which is not meaningful or interpretable in terms of probability. To address this issue, alternative models such as logistic regression or probit regression can be used, which are specifically designed to model probabilities and ensure that predicted values fall within the appropriate range. These models use non-linear functions to map the values of the independent variables to probabilities, thereby avoiding the problem of predicted values falling outside the valid range.

Therefore,the major shortcoming of the general linear probability model y = β0 + β1x1 + β2x2 + … + βkxk + ε, is that the predicted values of y can be sometimes greater than 1 or less than 0.

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Answer:

The perimeter of a rectangle is: P = 2x+16

The area of a rectangle is: A = 6x+12.

Step-by-step explanation:

Given

The length of a rectangle = l = 6

The width of a rectangle = w = (x+2)

To determine

The perimeter of a rectangle = P

The area of a rectangle = A

Determining the Perimeter of a rectangle

The perimeter of a rectangle can be determined using the formula

P = 2(l+w)

substitute l = 6 and w = (x+2)

P = 2(6+x+2)

P = 2(8+x)

P = 2x+16

Therefore, the perimeter of a rectangle is: P = 2x+16

Determining the Area of a rectangle

The Area of a rectangle can be determined using the formula

A = lw

substitute l = 6 and w = (x+2)

A = (6)(x+2)

A = 6x+12

Therefore, the area of a rectangle is: A = 6x+12.

Answer: it’s gunna be (4, -3)

Step-by-step explanation:

Answer:

Your brother can buy anywhere from 1 to 6 baseball cards depending on how rare they are!

Answer:

15

Step-by-step explanation:

To find the area of an triangle use the formula BH(1/2) in this case

The base is 2 so the height must be 15 because 2 times 15 is 30 divided by 2 is 15

Tell me if I'm wrong if not

Hope this helped :]

The height of the triangle is 15 centimeters.

Given the following data:

To find the height of the triangle:

Mathematically, the area of a triangle is given by the formula;

\(Area \;of\; a \;triangle = \frac{1}{2}\) × \(base\) × \(height\)

Substituting the values into the equation, we have;

\(15 = \frac{1}{2}\) × \(2\) × \(height\)

Height = 15 cm

Therefore, the height of the triangle is 15 centimeters.

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The measure of the angles are: K, L, C, N, O G = -3/4, 65, 8 40.4, 89 and 44 respectively

To determine K

9x + 2 = 23 + 5x -1

9x -5x = -1 +2

4x = -3Making x the subject we have

x= -3/4

To find the value of L

Let angle L be x

x + 65 = 130

x=130-65

That is x = 65

To find the m<C

4x + 7 = 3x + 15

Collecting like terms

4x - 3x = 15-7

Making x the subject of the relation we have

x=8

To find the m<N

7x + 6x - 1 = 90

13x = 89

x=89/13

x= 6.9

Substitute x = 6.9 in 6x -1

6(6.9) -1

m<L = 40.4

To find the m<O

5x - 11 = 4x +9

5x-4x = 9 +11

x=20

By substitution in 4x +9 we have

4(20) +9

80+9

m<S = 89

To find the value of the angle G

6x - 4 = 5x +4

6x - 5x = 4+4

x = 8

Therefore the m<G is

5x +4

5(8) +4

40+4 = 44 digress

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Answer:

A 36/100

Step-by-step explanation:

the probability is going to be this because the rates in honor roll and sports are higher than the other 27 that do both.

Answer:

x = 4

Step-by-step explanation:

In this equation, x is being cubed to equal 64. When x is being cubed, it means that x is multiplied by itself 3 times to get 64. Thus, we have to find which number to the power of three = 64.

Therefore, x = 4.

Equation: 3√64 = x

In case you needed it

This so happens to be a perfect cube

Cube = A number raised to the power of 3

1 x 1 x 1 = 1

2 x 2 x 2 = 8

3 x 3 x 3 = 27

4 x 4 x 4 = 64

So therefore, x = 4

Hope this helped you!

Answer:

(1, 36)

Step-by-step explanation:

Degrees of freedom for the F-test of the two way ANOVA

Here, we use a two factors, independent measures ANOVA, where, factor \(A\) has 2 level and a factor \(B\) also has 2 levels.

So, here,

\($k_1$\) = number of levels of A = 2

\(k_2\) = number of levels of B = 2

And n = sample size in each treatment condition = 10

So we have,

\(d_1\) = df of the main effect A = (\($k_1$\) - 1) = 2 - 1 = 1

\(d_2\) = df of the main effect A = (\($k_2$\) - 1) = 2 - 1 = 1

\(d_3\) = df of interaction effect (A x B) = (\($k_1$\) - 1)(\($k_2$\) - 1)

                                                        = (2-1)(2-1)

                                                         = 1

And \(d_4\) = df of within variation (i.e. error variation) = \($k_1k_2(n-1)$\)

                                                                                 = 2 x 2 x (10 - 1)

                                                                                  = 36

So, the df value for the F-ratio evaluating the main effect of factors-A is

=  (\(d_1, d_4\))

= (1, 36)

On solving the provided question we can say that in the graph we have been provided with the equation y = 4x^2;  y = 0

Mathematicians use graphs to logically convey facts or values using visual representations or charts. A graph point will typically reflect a relationship between two or more things. Nodes, or vertices, and edges make form a graph, a non-linear data structure. Glue together the nodes, often referred to as vertices. This graph has vertices V=1, 2, 3, 5, and edges E=1, 2, 1, 3, 2, 4, and (2.5), (3.5). (4.5). Statistical charts (bar charts, pie charts, line charts, etc.) graphical representations of exponential growth. a logarithmic graph in the shape of a triangle

here,

in the graph we have been provided with the equation

y = 4x^2

and x = 0

so , y = 0

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Answer:

$-17

Step-by-step explanation:

Answer:

im pretty sure the other person got it correct

The number 28 is divided by the number 3 in fraction form is  9 1/3.

What is a fraction?

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

Given, The number 28 is divided by the number 3.

This can be written in fraction form as 28/3.

Now, 3×9 = 27.

Therefore, 28/3.

= 9 1/3.

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Therefore, $22.95 would be the best estimate for the cost of a vehicle to drive through the safari in 2011.

The estimated cost of a vehicle to drive through the safari in 2011, we need to substitute the value of x (number of years since it opened in 2005) as 6 into the regression equation y = 3.648 * 1.182x.

Plugging in x = 6, the equation becomes: y = 3.648 * 1.182 * 6

Calculating the expression: y = 25.849536

Rounding to two decimal places, the estimated cost is approximately $25.85.

Among the given options, the closest value to $25.85 is $22.95 (Option B). Therefore, $22.95 would be the best estimate for the cost of a vehicle to drive through the safari in 2011.

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Answer:

d b c

Step-by-step explanation:

fdfbwhgbcsjbcjbchsvbchwgchwvcdn

Answer:

y = mx + b

Step-by-step explanation:

so you first put the points on the graph and connect them with a slanted line.

Next, for your equation start of with y =

then, your going to find your slope, after you find it put it in front of x (slope x) (Ex; if the slope was 3 then it would look like this 3x)

finally you write + and the y intercept (at which point the line goes through the y axis)

the equation together should look like y = slope x + y intercept

Answer:

60 minute equals to 1 hour

\(( \frac{x + y > 3}{x + y < 3} )\\\)

Answer: I don’t see the table so I can’t really help with that unless you can edit the post

Step-by-step explanation:

Northside Christian Academy has 528 students enrolled this year. That is an in- crease of 10% over last year's enrollment. How many students were enrolled last year?

Let

x ------> students enrolled last year

we have that

100%+10%=110%=110/100=1.10

so

528=1.10x

solve for x

x=528/1.10

x=480

Refer to the image for the graph of the lines.

The common form of the equation of a line is y = mx + c, where m is the slope of the line and c is a constant.

We need to draw any line with a slope m = 2, and

another line with a slope m = -2.

Disclaimer: Let us assume that the constant c = 0.

Then the equation to the line with a slope of "positive" 2 is given by

y = 2x

Then the equation to the line with a slope of "negative" 2 is given by

y = -2x

Refer to the attached image for the graph of the lines with the slope of "positive" 2 and "negative" 2.

f: green line indicates a line with a slope of "positive" 2.

g: blue line indicates a line with a slope of "negative" 2.

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Answer: x=-3

Step-by-step explanation:

Answer:

I believe x=3

Step-by-step explanation:

0.7x- 1.4 = -3.5

+1.4. +1.4

0.7x = 2.1

divide both sides by 0.7 x= 3

Answer:

Step-by-step explanation:

Find the unit rate of Sugar. Then find the cost of  2.5 Kg sugar

1 kg sugar =36 ÷ 4.5

                \(= \frac{36*10}{4.5*10}= \frac{360}{45}\\\\= 8\)

2.5 kg of sugar= 2.5 * 8 = 20.0 = R 20

Answer:

Kg Rupee

4.5 = 36

2.5 = ?

Therefore, 2.5*36/4.5

Therefore, 25*36*10/45*10

Therefore, 25*36/45

Therefore, 5*5*36/9*5

Therefore, 5*36/9

Therefore, 5*3*2*3*2/3*3

Therefore, 5*2*2

Therefore, 10*2

Therefore, 20

2.5 kg =20 Rupees

Answer:

12862.83cm³

Step-by-step explanation:

Volume of the Box: [L×W×H] or [30x30x30] or [27000cm³]

Volume of the Sphere: [\(\frac{4}{3}\pi r^{3}\)] (\(\pi\)=pi=3.14) (r=radius=15) or [\(\frac{4}{3}\)×3.14×3375] or [14137.17cm³]

Volume of the empty space: 27000cm³-14137.17cm³=12862.83cm³

Btw there are online tools to help you find the volume of a sphere (just use it after you understand the equation)

Hope I helped!

The logistic differential equation for the hyena population is given by:

dP/dt = r * P * (1 - P/K)

where P(t) is the hyena population at time t, r is the growth rate, and K is the carrying capacity.

We are given that:

P(t) = 40 + k * e^(-0.57t)

K = 200

To determine the value of k, we can plug in these values into the logistic differential equation and solve for k:

dP/dt = r * P * (1 - P/K)

dP/dt = r * P * (1 - P/200)

dP/dt = r/200 * (200P - P^2)

dP/(200P - P^2) = r dt

Integrating both sides, we get:

-1/200 ln|200P - P^2| = rt + C

where C is a constant of integration.

Using the initial condition P(0) = 40 + k, we can solve for C:

-1/200 ln|200(40+k)-(40+k)^2| = 0 + C

C = -1/200 ln|8000-480k|

Plugging in this value of C and simplifying, we get:

-1/200 ln|200P - P^2| = rt - 1/200 ln|8000-480k|

ln|200P - P^2| = -200rt + ln|8000-480k|

|200P - P^2| = e^(-200rt) * |8000-480k|

200P - P^2 = ± e^(-200rt) * (8000-480k)

Since the population is increasing, we choose the positive sign:

200P - P^2 = e^(-200rt) * (8000-480k)

Using the initial condition P(0) = 40 + k, we get:

200(40+k) - (40+k)^2 = (8000-480k)

8000 + 160k - 2400 - 80k - k^2 = 8000 - 480k

k^2 + 560k - 2400 = 0

(k + 60)(k - 40) = 0

Thus, k = -60 or k = 40. Since k represents a growth rate, it should be positive, so we choose k = 40. Therefore, the value of the constant k is option (A) 4.

For the second part of the question, the logistic equation that could model the growth in the graph is option (B) dM/dt = (20-M)*(M-50). This is because the carrying capacity is between 20 and 50, and the population growth rate is zero at both of these values (i.e. the population does not increase or decrease when it is at the carrying capacity).

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To find the length of the side opposite the angle, multiply the hypotenuse by sin(). Alternatively, to obtain the side next to the angle, multiply the hypotenuse by cos()

The term "hypotenuse" refers to a right-angled triangle's longest side as compared to the base and perpendicular lengths. The right angle, the largest angle of the three angles in a right triangle, is opposite the hypotenuse side. In essence, only the right triangle possesses the hypotenuse feature, not any other triangles. When we study the right-angled theorem, Pythagoras Theorem, or Pythagorean Theorem, this is better understood.

Pythagoras theorem defines the hypotenuse theorem. This theorem states that the square of a right-angled triangle's hypotenuse side is equal to the sum of its base and perpendicular squares, so that;

Hypotenuse2 = Base2 + Perpendicular2

The square root of the sum of the base and perpendicular squares of a right-angled triangle provides the formula to get the hypotenuse. The hypotenuse formula is represented as follows:

Hypotenuse = √[Base2 + Perpendicular2]

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