An investor who earns $65,000 from employment and saves 4.5 percent from his total income would have increased her net worth in one year by O a. $2925. O b. $0. O C. $3000. O d. $2900.

Internal validity explains the association between binge-watching tv and irritability.

In the context of a specific study, internal validity refers to how strongly a piece of evidence supports a claim regarding cause and effect. It is one of the most crucial characteristics of scientific research and a crucial idea when considering evidence more generally.

The extent to which alternative explanations for a study's findings (often, sources of systematic error or "bias") can be ruled out is a measure of its internal validity. In contrast, external validity measures how well data support judgments made regarding other situations (that is, the extent to which results can be generalized).

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The measure of angles x= 113° y=67° z=113°

Measure of angle is defined as when two lines or rays intersect at a common point, an angle is formed. The common point is referred to as the vertex. An angle measure in geometry is the measurement of the angle formed by two rays or arms at a common vertex.

Given that Lines m and n are parallel

We have to find the measures of angles x, y, and z

Given x =? y= 67 z =?

We know sum of angle = 180

X + y = 180

X + 67 = 180

X = 113

Y is the corresponding or alternative interior angle to 67. As a result, it measures 67°

Z, which is a corresponding angle to x, implies that x=z.

Therefore the measure of angle x= 113° y=67° z=113°

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The ordered pair at which the function f(x) = √(x - 4) + 7 would begin on the coordinate plane is (4, 7).

A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.

An ordered pair can be defined as a pair of two elements that are typically written in a fixed order within parentheses as (x, y), which represents the x-axis (abscissa) and the y-axis (ordinate) on a coordinate plane.

By critically observing the graph of this function (see attachment), the ordered pair would begin at (4, 7) on the cartesian coordinate.

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Complete Question:

At which ordered pair will the function f(x) = √(x - 4) + 7 begin on the

coordinate plane?

To make sure the accessory is proportional from Dan to Marcellus, we need to maintain the same ratio of height between the two figures.

Since Marcellus is two times as tall as Dan, we can use the ratio stated above to determine the appropriate size of the accessory.

For example, let's say we want to give Dan and Marcellus a hat. We would need to make sure that the size of the hat for Marcellus is twice the size of the hat for Dan, to maintain the same ratio of height between the two figures.

To know that it is proportional, we can use a ruler or measuring tape to measure the height of Dan and Marcellus in the image, and then measure the size of the accessory for each figure.

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square

its the middle bit that looks darker than the rest.

Answer:

-1/10

Step-by-step explanation:

     \(\sf (-3 , \frac{-7}{2}) \ ; \ x_1 = -3 ; \ ; y_1=\frac{-7}{2}\)

     \(\sf (2 , -4) ; \ x_2 = 2 \ ; \ y_2 = -4\)

             \(\sf \boxed{slope = \dfrac{y_2-y_1}{x_2-x_1}}\)

                       \(= \dfrac{-4-[-\frac{7}{2}]}{2-[-3]}\\\\\\= \dfrac{-4+ \frac{7}{2}}{2+3}\\\\\)

                        \(\sf = \dfrac{ \frac{-4*2}{1*2}+ \frac{7}{2}}{5}\\\\\\= \dfrac{ \frac{-8+7}{2}}{5}\\\\\\= \dfrac{ \dfrac{-1}{2}}{5}\\\\= \dfrac{-1}{2*5}\\\\\\= \dfrac{-1}{10}\)

Answer:

a

Step-by-step explanation:

The radius of the full-size pool is 2 times greater than the radius of kiddie pool

The formula for determining the area of a circle is expressed mathematically as;

Area = πr²

Where;

From the information given, we have that;

Radius = √A/3

Where;

A is the radius of the circle

For the circular kiddie, we have;

Radius = √28/3

Find the ratio

Radius = √9. 3

Find the square root

Radius = 3 feet

For the circular pool

Radius = √ 113/3

Find the ratio

Radius = √37. 66

Find the square root

Radius = 6 feet

We then have;

Radius of the pool/radius of the kiddie pool

6/3

Find the quotient

2

Hence, the value is 2

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Answer:

Step-by-step explanation:

the answer is the first left bottom picture

We can determine whether two lines are parallel, perpendicular, or neither using the slopes of the lines.

Two lines are parallel when both of the lines have the same slope, for example:

Two lines are perpendicular to each other when the product between the lines is equal to -1, for example:

if none of the conditions stated before the lines are neither parallel nor perpendicular.

In the given exercise:

both lines have different slopes, then they are not parallel.

Find the product between the slopes,

Answer:

The lines shown are perpendicular to each other because the product between the slopes is equal to -1.

250

250 is in-between 200 nd 300

The  |120-x| simplifies to 120-x when x is less than 120.

S If x is less than 120, then the expression |120-x| simplifies to 120-x. This is because the absolute value bars mean that the result must be positive,

so if x is already less than 120, then subtracting x from 120 will give a positive result.

For example, if x is 115, then |120-x| would equal |120-115|, which simplifies to |5|, which equals 5.  

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Answer:

You stated the question, "Is the experimental probability of pulling a red cube greater than, less than, or equal to the theoretical probability of pulling a red cube?

Step-by-step explanation:

Therefore, this question makes no sense.

Answer:

- 4

Step-by-step explanation:

2x + 5 = - 3 ( subtract 5 from both sides )

2x = - 8 ( divide both sides by 2 )

x = - 4

then the number from the set which is the solution to the equation is - 4

To have an average speed of 4mph, you should run the next 0.5 hour at a speed of 7mph.

To find the average speed, you need to use the formula:

average speed = total distance / total time

First, find the total distance you traveled during the 1.5 hours of walking:

distance = speed × time

distance = 4mph × 2 hours

distance = 8 miles

Subtract the distance you traveled during the 1.5 hours of walking from the total distance to find the distance you need to travel during the 0.5 hours of running:

8 miles - 4.5 miles = 3.5 miles

Finally, use the formula for distance to find the speed you need to run:

distance = speed × time

3.5 miles = speed × 0.5 hours

speed = 7mph

Therefore, you need to run at a speed of 7mph for 0.5 hours to have an average speed of 4mph.

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Nadia has £5 to buy pencils and rulers. She says,"I will buy 15 pencils. Then I will buy as many rulers as possible. With my change, I will buy more pencils.

"Let the price of each pencil be p and the price of each ruler be r. Presenting the above scenario into the equation,15p + (x × r) = 5Here, x is the number of rulers to be bought. To minimize the number of pencils Nadia will buy with the change, we have to calculate the maximum number of rulers she can buy with the given £5.Let's assume Nadia buys a maximum of y rulers with all of her money, thus the number of pencils she will be left to buy will be,15p + (y × r) ≤ 5Therefore, Nadia can purchase 15 pencils and 2 rulers with £5 as shown below,15p + (2 × r) = 5Nadia can then buy more pencils with the remaining money, which is,£5 − [(15 × p) + (2 × r)] = Remaining money£5 − [(15 × 0.20) + (2 × 0.35)] = 0.40Hence, Nadia can buy 2 rulers and 15 pencils. She can buy only 2 rulers as many rulers she can buy with £5 is only 2.

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Answer:

D

Step-by-step explanation:

can't really explain it just is the answer

hope this helps!

The particular solution that satisfies the differential equation and the initial condition f(0) = a is: f(x) = -sin(x) + C1x + a.

To find the particular solution that satisfies the differential equation f''(x) = sin(x) and an initial condition, we need to integrate the equation twice and apply the initial condition.

1. First Integration:

Integrating the differential equation f''(x) = sin(x) with respect to x once gives us:

f'(x) = -cos(x) + C1

where C1 is the constant of integration.

2. Second Integration:

Integrating f'(x) = -cos(x) + C1 with respect to x again gives us:

f(x) = -sin(x) + C1x + C2

where C2 is another constant of integration.

3. Applying the Initial Condition:

To apply the initial condition, we need to use the given information about the problem. Let's say the initial condition is given as f(0) = a, where 'a' is a specific value.

Substituting x = 0 and f(x) = a into the equation, we get:

a = -sin(0) + C1(0) + C2

a = 0 + 0 + C2

C2 = a

Therefore, the particular solution that satisfies the differential equation and the initial condition f(0) = a is:

f(x) = -sin(x) + C1x + a

In this particular case, the initial condition f(0) = a determines the value of the constant C2, which becomes C2 = a. The resulting particular solution incorporates the constant C1 from the first integration and the constant a from the initial condition.

Note that without a specific initial condition or boundary condition, the constants C1 and C2 remain arbitrary and can be adjusted to fit different situations or additional information if provided.

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Answer:

120ft

Step-by-step explanation:

If the bases are 120ft apart from each other you would have to find the distance of going from first to second then to third. Then you divide it in half because you arent going around the diamond, you are cutting right through it.

Answer:

a

Step-by-step explanation:

a

Answer:

x = 4

Step-by-step explanation:

We can find RT

sin theta = opposite / hypotenuse

sin 60 = 2 sqrt(3) / RT

RT = 2 sqrt(3) / sin 60

RT = 2 srt(3) / ( sqrt(3) / 2)

RT = 4

tan theta = opp/ adjacent

tan 45 = x / RT

tan 45 = x / 4

4 tan 45 = x

4 * 1 = x

4 = x

To maximize the sugar you can gain from street vendors and satisfy your sweet tooth, you can use the following expression:

m[i] = max(m[i-1] + s[i], s[i])

Here, m[i] represents the maximum sugar you can consume so far on the i-th vendor, and s[i] denotes the sugar content of the i-th vendor's offering.

The expression utilizes dynamic programming to calculate the maximum sugar consumption at each step. The variable m[i] stores the maximum sugar you can have up to the i-th vendor.

The expression considers two options: either including the sugar content of the current vendor (s[i]) or starting a new consumption from the current vendor.

To calculate m[i], we compare the sum of the maximum sugar consumption until the previous vendor (m[i-1]) and the sugar content of the current vendor (s[i]) with just the sugar content of the current vendor (s[i]). Taking the maximum of these two options ensures that m[i] stores the highest sugar consumption achieved so far.

By iterating through all the vendors and applying this expression, you can determine the maximum sugar you can gain from the street vendors and satisfy your sweet tooth.

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Answer:

A.

Step-by-step explanation:

Because If you are simplifying then -3 would become -1 and -5 would become -3 and -4 would become -2 so your basically just simplifying

A graph which represent the inequality -5x + 3y > 9 is shown below.

In order to to graph the solution to the given linear inequality on a coordinate plane, we would use an online graphing calculator to plot the given linear inequality and then take note of the points that lie on its line;

-5x + 3y > 9

3y > 9 + 5x

y > 9/3 + 5x/3

y > 5x/3 + 3

Next, we would use an online graphing calculator to plot the given linear inequality as shown in the graph attached below.

Based on the graph (see attachment), we can logically deduce that a possible solution for the linear equation is the ordered pairs (0, 3) and (-1.8, 0), with a dashed line that is shaded above to indicate the solution, and this must be represented with the greater than or equal to (>) inequality symbol.

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Answer:

\(Length = 5x + 3\)

\(Width = x +1\)

Step-by-step explanation:

Given

\(Area = 5x^2 + 8x + 3\)

Required

Determine the dimensions

To do this, we simply factorize the given expression.

\(Area = 5x^2 + 8x + 3\)

Expand

\(Area = 5x^2 + 5x +3x+ 3\)

Factorize

\(Area = 5x(x + 1) +3(x+ 1)\)

Factor out x + 1

\(Area = (5x +3) (x+ 1)\)

Area is calculated as:

\(Area = Length * Width\)

So:

\(Length = 5x + 3\)

\(Width = x +1\)

I'm not in highschool but I did the math I think it's 18

Answer:

The Answer is D

Step-by-step explanation:

437-18.5=419.5

Answer:

1.52

Step-by-step explanation:

You can convert all the numbers into a fraction to solve the expression.

4/5 is equal to 80/100, and 0.35 is equal to 35/100. (37/100 is left as it is.)

80/100 + 35/100 + 37/100 = 152/100.

When simplified and converted into a decimal, the answer is 1.52.

Answer to 2a: The mean of Asset A is 0.235  and the variance is 0.0123

Answer to 2b: The correlation coefficient between Asset A and C is approximately\(\(-0.670\) (Boom), \(-0.187\) (Average), \(-0.670\)\)(Bust).

2a. Mean of Asset A (Expected Value):

The mean of Asset A (E(A)) can be calculated as:

\(\[E(A) = \sum_{i} (x_i \cdot P_i)\]\)

where \(\(x_i\)\) represents the return on Asset A in each state and\(v \(P_i\)\) represents the probability of that state.

Using the given information, we have:

Boom:

\(\(E(A) = (0.35 \cdot 0.30) + (0.20 \cdot 0.50) + (0.05 \cdot 0.20) = 0.235\)\)

Average:

\(\(E(A) = (0.35 \cdot 0.30) + (0.20 \cdot 0.50) + (0.05 \cdot 0.20) = 0.235\)\)

Bust:

\(\(E(A) = (0.35 \cdot 0.30) + (0.20 \cdot 0.50) + (0.05 \cdot 0.20) = 0.235\)\)

Therefore, the mean of Asset A is\(\(E(A) = 0.235\).\)

2b. Correlation Coefficient of A and C:

The correlation coefficient\((\(\rho\))\)between Asset A and C can be calculated using the formula:

\(\[\rho = \frac{{\text{{Cov}}(A, C)}}{{\sigma_A \cdot \sigma_C}}\]\)

where\(\(\text{{Cov}}(A, C)\)\) represents the covariance between Asset A and C, and \((\sigma_A\)\) and\(\(\sigma_C\)\)represent the standard deviations of Asset A and C, respectively.

Using the given information, we have:

Boom:

\(\(\text{{Cov}}(A, C) = (0.35 - 0.235) \cdot (0.10 - 0.25) = -0.017\)\)

Average:

\(\(\text{{Cov}}(A, C) = (0.20 - 0.235) \cdot (0.15 - 0.25) = -0.005\)\)

Bust:

\(\(\text{{Cov}}(A, C) = (0.05 - 0.235) \cdot (0.35 - 0.25) = -0.017\)\)

Now, we calculate the standard deviations of Assets A and C:

\(\(\sigma_A = \sqrt{{\text{{Var}}(A)}} = \sqrt{0.0123} \approx 0.1108\)\)

\(\(\sigma_C = \sqrt{{\text{{Var}}(C)}} = \sqrt{0.0517} \approx 0.2274\)\)

Finally, we can calculate the correlation coefficient:

Boom:

\(\(\rho = \frac{{-0.017}}{{0.1108 \cdot 0.2274}} \approx -0.670\)\)

Average:

\(\(\rho = \frac{{-0.005}}{{0.1108 \cdot 0.2274}} \approx -0.187\)\)

Bust:

\(\(\rho = \frac{{-0.017}}{{0.1108 \cdot 0.2274}} \approx -0.670\)\)

Therefore, the correlation coefficient between Asset A and C is approximately\(\(\rho \approx -0.670\) (Boom), \(\rho \approx -0.187\) (Average), and \(\rho \approx -0.670\) (Bust).\)

Answer to 2a: \(The mean of Asset A is \(0.235\) and the variance is \(0.0123\.\)

Answer to 2b: The correlation coefficient between Asset A and C is approximately\(\(-0.670\) (Boom), \(-0.187\) (Average), \(-0.670\)\)(Bust).

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