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Without specific information about the number of green marbles drawn by Ginny and Carter, we cannot determine how the probability of drawing a green marble changed between the two situations.

The probability of drawing a green marble can only be determined if we have information about the total number of marbles and the number of green marbles in each situation.

In the given question, no such information is provided. Therefore, we cannot analyze or compare the probability of drawing a green marble between Ginny's and Carter's situations.

To calculate the probability of an event, we need to know the number of favorable outcomes (in this case, the number of green marbles) and the total number of possible outcomes (the total number of marbles). Without this data.

It is impossible to quantify the change in probability between the two scenarios. It is essential to have specific details about the marbles drawn or the proportions of green marbles to make any meaningful comparisons or calculations regarding probability changes.

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n(t) = 360 * 1.05^t. This formula assumes the growth rate of the student population remains constant at 5% per year. In reality, the growth rate may vary from year to year depending on various factors such as the school's reputation, enrollment policies, and local demographics

The formula for the function n(t) is based on the assumption that the student population grows by 5% per year. To calculate the number of students attending the charter school t years after 1994, we start with the initial number of students in 1994, which is 360, and then multiply it by 1.05 raised to the power of t.

For example, if we want to know how many students are attending the school in 2023 (29 years after 1994), we plug in t=29 into the formula:

n(29) = 360 * 1.05^29

≈ 1,188 students

This formula assumes that the growth rate of the student population remains constant at 5% per year. In reality, the growth rate may vary from year to year depending on various factors such as the school's reputation, enrollment policies, and local demographics. However, the formula provides a useful estimate of the school's enrollment over time based on a simple, consistent assumption.

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Answer:

$79.670.

Step-by-step explanation:

Dado que María tiene en su libreta de ahorros un capital de $ 123.000,si deposita el día lunes la cantidad de $12.670, y el día miércoles por una urgencia, realiza un giro de $56.000, para determinar cuál es el nuevo capital que posee se debe realizar el siguiente cálculo:

123.000 + 12.670 - 56.000 = X

135.670 - 56.000 = X

79.670 = X

Así, el nuevo capital que María posee en su cuenta es de $79.670.

Answer:

25: No

6: Yes

5: No

8: No

3: Yes

10: No

4: Yes

2: Yes

9: Yes

Step-by-step explanation:

25: No. The number needs to end in a 5 or 0 at minimum

6: Yes. The number is divisible by 6

5: No. The number needs to end in a 5 or 0

8: No. It is not divisible

3: Yes. It is divisible

10: No. The number must end in 10

4: Yes. It is divisible

2: Yes. It is even

9: Yes. A fun way to do this. If you add up all the digits of the number, in this case, 7, 5, and 6, and the resulting number is divisible by 9, then the number is divisible by 9. 7 + 5 + 6 = 18/9 = 2. So yes.

Answer:

X =65 degrees

Step-by-step explanation:145=(2x+15)

grouping like terms ,the +15 crosses the equal to and turns into -15 and attaches itself to 145.            145-15=2x

                                                   130=2x

if 2x =130 then x will be = 130/2=2x/2

                                             65=x

Answer:

27a + 9b + c is reminder

Step-by-step explanation:

Remainder theorem says that when p(x) is divided by (x – a) the remainder is given

by p(a)

Let p(x) = ax³ + bx²+ c

P(x) when divided by (x – 3)

Using Remainder theorem, we have

Remainder = p(3) = a(3³) + b(3²) +c

= 27a + 9b + c

Answer:

the answer to this question is -77.41

Answer:

  A)  40%

Step-by-step explanation:

25% of yards have 6-8 trees; 10% of yards have 8-10 trees; 5% of yards have more than 10 trees. So, a total of 25% +10% +5% = 40% of yards have 6 trees or more. If a yard is randomly chosen, the probability it will have 6 or more trees is 40%.

The approximate base of the water tower is 1962.5 square feet.

Given: Height of the tower = 20 feet

Radius of the tower = 25 feet

Approximate value of π = 3.14

We need to find the approximate base of the water tower.

As we know that the base of the water tower is a circular base. The formula for the area of the circle is given byπr²

Where,

π = 3.14

r = radius of the circle = 25 feet

∴ Area of the circular base = 3.14 × (25)²= 3.14 × 625 = 1962.5 square feet

Therefore, the approximate base of the water tower is 1962.5 square feet.

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Answer:

the answer is 22

Step-by-step explanation:

The graph which represents the function; y = 2 x - 2 is the second graph from the left.

By considering the slope-intercept form of the equation of a straight line;

By observation, the graph of the function has y-intercept, -2 and has slope, m = 2

The graph most comparable to the information above is the third graph and hence is the graph of the function.

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Answer:

3rd one or c

Step-by-step explanation:

Monica's age is 20 years and her father's age is 52

Simultaneous equations are two or more algebraic equations that share variables e.g. x and y . They are called simultaneous equations because the equations are solved at the same time. For example, below are some simultaneous equations: 2x + 4y = 14 4x − 4y = 4.

Represent Monica's age by x and her father's age by y

y -x = 32 equation 1

y-16= 9(x-16)

= y-16 = 9x -144

y-9x = -144+16

y - 9x = -128 equation 2

subtract equation 2 from 1

-x-( -9x )= 32-(-128)

8x = 160

x = 160/8

x = 20

substitute 20 for x in equation 1

y = 32+x

y = 32+20

y = 52

Therefore Monica's age is 20 and her father's age is 52

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Answer: Area of tank = lbh

                                    = 6 x 4.3 x 3.5

                                    = 90.3 m^3

1 liter = 1000cm^3

90.3m^3 = 90300 cm^3

90.3l

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The ordered pair that could be taken from the table is: C. (–2, 1).

Ordered pairs are given as, (x, y). To find either x or y of a pair given an equation, plug in the given given to find the corresponding missing value of the ordered pair.

Input value = x-values, while output value = y-values.

Given:

y = –3x – 5

Let's find the corresponding y-value (output) of x = -2.

Substitute x = -2 into y = –3x – 5.

y = –3(-2) – 5

y = 6 - 5

y = 1

Therefore, the ordered pair that could be taken from the table is: C. (–2, 1).

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Answer:

6

Step-by-step explanation:

We can find the common difference by subtracting one number in the sequence from the one ahead of it.

27-21=6

21-15=6

15-9=6

9-3=6

The differences between each number is 6.

Because the difference is the same between each number in the sequence, that makes 6 the common difference.

\(\fbox{Hii\:student!}\)

__________________________________________________________

\(\multimap\parallel\boldsymbol{Answer.}\parallel\gets\)

\(\textsl{the common difference is 6!}\)

__________________________________________________________

\(\multimap\parallel\boldsymbol{Explanation.}\parallel\gets\)

\(\textsl{here's how we find the common difference in the sequence:}\)

\(\sf 27-21=6 \\ 21-15=6 \\ 15-9=6 \\ 9-3=6 \\the\;result\;is\;the\;common\;difference}\)

\(\maltese\boldsymbol{\therefore,\:6\:is\;the\;common\;dif\!ference}\)

Hope that this helped! Best wishes.

\(\textsl{Reach far. Aim high. Dream big.}\)

\(\boldsymbol{-Greetings!-}\)

________________________________________________________

Answer:

13 degrees

Step-by-step explanation:

5--8=5+8=13

Answer:

y=2/3-6

Step-by-step explanation:

The true statements are:

Proofs in geometry are used to prove or disprove a conjecture or a mathematical statement.

The types of proof in geometry are:

Based on the above types of proof, Joe's and Candice's proofs are direct proofs

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Answer:

Step-by-step explanation:

Answer:

∠ T = 144°

Step-by-step explanation:

let ∠ S = x then ∠ T = 4x ( 4 times ∠ S )

Since the angles are supplementary, then they sum to 180° , that is

x + 4x = 180

5x = 180 ( divide both sides by 5 )

x = 36

Then ∠ S = 36° and ∠ T = 4 × ∠ S = 4 × 36° = 144°

Answer:

Given:

mu = 200 lb, the mean sigma = 25 the standard deviation

For the random variable x = 250 lb, the

z-score is z = (x - mu) / sigma = (250 - 200) / 25 = 2

From standard tables for the normal distribution, obtain

P(x < 250) = 0.977

Answer: 0.977

Step-by-step explanation:

it's answer (a) because he has to multipy the fractions because always fractions goes first and then he needs to add 5

Answer:

perpendicular

Step-by-step explanation:

7y = -x - 3

y = -1/7 x - 3/7

-1/7 is the reciprocal of the opposite, so the lines are perpendicular

The solution of the system of equations using Cramer's rule is x = 37/39 and y = 9/39.

The solution of the system of equations using Cramer's rule is calculated as follows;

The given equations are as follows;

9x - 2y = -9

-3x - 8y = 1

The determinant of the coefficient matrix is calculated as;

D = [9      -2]

      [-3     -8]

D = -8(9) - (-3 x - 2)

D = -72 - 6 = -78

The x coefficient is calculated as;

Dx = [-2      -9]

       [ -8       1]

Dx = -2(1) - (-8 x -9)

Dx = -2 - 72 = -74

The y coefficient is calculated as;

Dy = [9      -9]

       [ -3       1]

Dy = 9(1) - (-3 x -9)

Dy = 9 - 27 = -18

The x and y values is calculated as;

x = Dx/D  = -74/-78 = 74/78 = 37/39

y = Dy/D = -18/-78 = 18/78 = 9/39

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Answer:

122.5^2

Step-by-step explanation:

3.5 x 2 = 7

3.5 x 5 = 17.5

7 x 17.5 =122.5 ft^2 (a=hl^2)

EXPLANATION

The area of the figure can be obtained by applying the following relationship:

Where b=base and height=h

In order to find the height, we need to apply the trigonometric relationship:

Multiplying both sides by 6.4:

Solving the argument:

Switching sides:

Now that we have the height, we can compute the area as follows:

The answer is 53.24 squared inches.

The length of the radius AB is 6 units.

The angle ∠BAC is 90 degrees. The length of arc BC is 3π. The length of  

radius AB can be found as follows:

Hence,

length of arc = ∅ / 360 × 2πr

where

Therefore,

length of arc = 90 / 360 × 2πr

3π = 1 / 4 × 2πr

cross multiply

12π = 2πr

divide both sides by 2π

r = 6 units

Therefore,

radius AB = 6 units

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The Cholesky decomposition of the identity matrix is simply the identity matrix itself

The Cholesky decomposition of the identity matrix is simply the identity matrix itself. To see why this is the case, recall that the Cholesky decomposition of a matrix A is a lower-triangular matrix L such that

A = LL^T.

When A is the identity matrix I, we have I = LL^T.

Since L is lower-triangular, its transpose L^T is upper-triangular. Therefore, the only way for LL^T to be the identity matrix I is for L to also be the identity matrix I.

In summary, the Cholesky decomposition of the identity matrix I is I itself.

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\(~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$3000\\ r=rate\to 6\%\to \frac{6}{100}\dotfill &0.06\\ t=years\dotfill &2 \end{cases} \\\\\\ A = 3000e^{0.06\cdot 2} \implies A \approx 3382.49~\hfill \underset{interest~only}{\stackrel{3382.49~~ - ~~3000}{\approx\text{\LARGE 382.49}}}\)

Answer:

x = -5

Step-by-step explanation: