Cara deposited $200 dollars into her savings account bringing her balance up to $450. Which equation can be used to find, x, the savings account balance before the $200 deposit?
A x + 200 = 450
B x200=450
C x−200=450
D 200x = 450

The example of a  hypothesis is: a person is innocent until proven guilty. The statement is true

Here the given situation is

A person is innocent until proven guilty.

The hypothesis test is defined as the test in statistics whereby an analyst tests an assumption regarding a population parameter. In hypothesis test using the data from the different types of t sample and the determine the other parameters of the population

The null hypothesis is defined as the a statement of what the statistician expects NOT to find.

Here the given situation is a person is innocent until proven guilty. Therefore, it is a null hypothesis.

In hypothesis test we assume that null hypothesis until it is proven

Therefore, the given statement true

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Step-by-step explanation:

When we multiply or divide both sides of an inequality by a negative number, what happens to the inequality symbol?

Answer:

The sign flips.

≤ becomes ≥

and ≥ becomes ≤

To answer your question, we can use the principle of permutations, which states that the number of arrangements of n distinct objects taken r at a time, where order matters, is given by nPr = n!/(n-r)!. there are 30,240 different ways to create a 5 digit number using the ten digits such that no digit is repeated.

In this case, we have 10 digits and we want to create a 5 digit number such that no digit is repeated. Therefore, we need to find the number of permutations of 10 objects taken 5 at a time, which is 10P5 = 10!/5! = 30240.
This means that there are 30,240 different ways to create a 5 digit number using the ten digits such that no digit is repeated.
, we can also consider the reasoning behind this calculation. Since we have 10 digits to choose from and we want to create a 5 digit number, we have 10 choices for the first digit, 9 choices for the second digit (since we cannot repeat the first digit), 8 choices for the third digit (since we cannot repeat the first two digits), 7 choices for the fourth digit, and 6 choices for the fifth digit.
Using the multiplication principle, we can multiply the number of choices at each step to get the total number of possible arrangements, which is 10 x 9 x 8 x 7 x 6 = 30,240.
Therefore, there are 30,240 different ways to create a 5 digit number using the ten digits such that no digit is repeated.

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The identity is proven by applying vector calculus properties and manipulating the expressions for divergence and curl.

First, we expand the expression for the divergence of the cross product (F X G): div(F X G) = div(F) X G - F X curl(G)

Next, we use the vector identity for the curl of a cross product: curl(F X G) = F X curl(G) + grad(div(F) X G) - G X grad(div(F))

Substituting this back into the expression for the divergence of the cross product, we get: div(F X G) = div(F) X G - F X curl(G) + grad(div(F) X G) - G X grad(div(F))

By rearranging the terms, we can rewrite it as: div(F X G) = G X curl(F) - F X curl(G). This proves the given identity.

In summary, the identity is proven by applying the properties of vector calculus, the definition of the cross product, divergence, and curl operators, and manipulating the expressions to obtain the desired result.

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Answer: 274

7124 divided by 26 in decimal = 274

7124 divided by 26 in fraction = 7124/26

7124 divided by 26 in percentage = 27400%

Hope this helps

Answer:

it's 1/2

rise over run

HOPE THIS HELPS

BRAINLIEST PLEASE

Answer:

Slope: 1/2

Step-by-step explanation:

When determining a slope you look at how many units the line is going up by and how much it is going forward/backward by. Look at how much the line is moving per unit upward and look how much the line is moving per unit forward. Then, take these two number and put them in a format of (units upward) / (units forward). In this case, the line is going up by 1 unit while going forward 2 units. Using the same formula we find that the slope is 1/2 or 0.5.

Answer:

3 OR 8  hope this helps!

Step-by-step explanation:

P(X > 203.4) is approximately 0.5578.

To find the probability that a single randomly selected value from a normal distribution with μ = 208.5 and σ = 35.4 is greater than 203.4, we can use the z-score formula and the standard normal distribution.

First, we calculate the z-score using the formula:

z = (x - μ) / σ

where x is the value of interest, μ is the population mean, and σ is the population standard deviation.

Plugging in the values, we have:

z = (203.4 - 208.5) / 35.4 = -0.143

Next, we use a standard normal distribution table or a calculator to find the probability associated with the z-score. The probability of a value being greater than 203.4 is equivalent to the area under the curve to the right of the z-score.

Using the table or calculator, we find that the probability is approximately 0.5578.

Therefore, P(X > 203.4) is approximately 0.5578.

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Hence,  when \(n=10\) the given inequality is true.

What is the inequality?

An inequality is said to be sharp if it cannot be relaxed and still be valid in general.

Here given that,

Which integer will make the inequality \(2(n + 2) < 5(n -1)\) true.

So,

\(2(n + 2) < 5(n-1)\)

When

\(n=10\\\\\\2(10+2) < 5(10-1)\\\\2(12) < 5(9)\\\\24 < 45\)

Hence,  when \(n=10\) the given inequality is true.

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Answer:

H.C.F = 15

Step-by-step explanation:

60 = 2 × 2 × 3 × 5

75 = 3 × 5 × 5

90 = 2 × 3 × 3 × 5

HCF = 3 × 5 = 15

Maintaining a crew is a cost-justified investment in precaution as it reduces the expected harm by $50 while the cost of maintaining a crew is $25. Failure to crew the barge may be considered negligent according to the Hand Rule.

To answer the given questions, we need to calculate the expected harm in both scenarios:

Expected harm with no crew:

Probability of barge breaking loose without crew = 1%

Damage caused by barge breaking loose = $10,000

Expected harm = Probability of event * Damage caused = 1% * $10,000 = $100

Expected harm with a crew:

Probability of barge breaking loose with crew = 0.5%

Damage caused by barge breaking loose = $10,000

Expected harm = Probability of event * Damage caused = 0.5% * $10,000 = $50

To determine if maintaining a crew is a cost-justified investment in precaution, we compare the cost of maintaining a crew to the reduction in expected harm:

Cost of maintaining a crew = $25

Reduction in expected harm = Expected harm without crew - Expected harm with crew

= $100 - $50 = $50

Since the reduction in expected harm ($50) is greater than the cost of maintaining a crew ($25), maintaining a crew is a cost-justified investment in precaution.

From the perspective of the Hand Rule, negligence is determined by comparing the burden (cost of precaution) to the probability of harm and the magnitude of harm. In this case, considering the reduced probability of harm with a crew and the significant damage ($10,000) caused by the barge breaking loose, failure to crew the barge may be considered negligent according to the Hand Rule.

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Randomization is important to ensure that both groups are roughly equivalent regarding students’ preparedness, anxiety levels, and study skills.

Randomization is when subjects in an experiment are placed in either the control group or the treatment group without any structure. They are placed in either groups randomly. The purpose of randomization is to ensure that subjects in either group are homogenous.

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Answer:

x=1

Step-by-step explanation:

Answer:

x=1

Step-by-step explanation:

4x−7=−3x

Step 1: Add 3x to both sides.

4x−7+3x=−3x+3x

7x−7=0

Step 2: Add 7 to both sides.

7x−7+7=0+7

7x=7

Step 3: Divide both sides by 7.

7x

7

=

7

7

x=1

The expected return on James's portfolio is 18%.

The expected return on Siebling Manufacturing Company's common stock is 8.4%.

To calculate the expected return on James's portfolio, we need to take the weighted average of the expected returns of MSFT and AAPL based on their respective investments.

Let's assume James invests x% in MSFT and (100 - x)% in AAPL.

The expected return on James's portfolio can be calculated as:

Expected Return = (x * Expected Return of MSFT) + ((100 - x) * Expected Return of AAPL)

Substituting the given values:

Expected Return = (x * 12%) + ((100 - x) * 24%)

To find the value of x that makes James's investments equal, we set the weights equal:

x = 100 - x

Solving this equation gives us x = 50.

Now we can substitute this value back into the expected return equation:

Expected Return = (50% * 12%) + (50% * 24%)

Expected Return = 6% + 12%

Expected Return = 18%

Therefore, the expected return on James's portfolio is 18%.

To calculate the expected return on Siebling Manufacturing Company's common stock, we can use the Capital Asset Pricing Model (CAPM).

The CAPM formula is:

Expected Return = Risk-Free Rate + Beta * Market Premium

Risk-Free Rate = 2%

Market Premium = 8%

Beta = 0.8

Expected Return = 2% + 0.8 * 8%

Expected Return = 2% + 6.4%

Expected Return = 8.4%

Therefore, the expected return on Siebling Manufacturing Company's common stock is 8.4%.

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Answer:

none are a solution

Step-by-step explanation:

9. 2=2·3             10. 6=2·-1         11.-14=2·-1.5

2=6                     6=-2                  -14=-3

WRONG             WRONG           WRONG

(3,2)                     (-1,6)                  (1.5,-14)

Given equation:y=2x+4

Answer

x=7

Step-by-step explanation:

I honestly forgot how to explain but my logic is that 43+137+137+43=360

so, x would equal 7

Answer:

choice 3) area = 1188 in²

Step-by-step explanation:

area = 36 x 33 = 1188 in ²

Cross-multiplying, we have:1 x = 20 × 25x = 500Therefore, the actual width of the park is 500 feet, which is option C.

The newly proposed city park is rectangle shaped. Blake drew a scale drawing of the park and used a scale of 1 cm: 20 ft.

If the width on the scale drawing of the city park is 25 centimeters, what is the actual width of the park?

If the scale used is 1 cm: 20 ft, it means that 1 cm on the scale drawing represents 20 feet in the actual park.

Using proportions, the width of the park can be calculated as follows:1 cm : 20 ft = 25 cm : x f

twhere x is the actual width of the park.

because it includes an explanation of how to calculate the actual width of the park using proportions and cross-multiplication.

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a. The variables for this problem is x + y = 140

b. a system of equations that represents this situation is 20x + 10y = 2270

An attribute οr phenοmenοn that may be quantified as a variable and that changes in value οver time. As a result, a variable is a quantity that can be calculated and is subject tο change.

Bοth discrete and cοntinuοus variables are pοssible.

a. Tο sοlve this questiοn we will need twο variables x and y.

Let number οf adults be x and number οf kids be y then we get,

x + y = 140

b. Tο write a system fοr sοlving this questiοn we are given the price οf tickets.

20x + 10y = 2270

and, x + y = 140

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Answer:

81

Step-by-step explanation:

Considering the curve x³y + y³ = sin y - x, the final i is;\(\frac{dy}{dx} = \frac{-2x}{3y^2 - cos(y)} \div (x^3 - cos(y))\)

Implicit differentiation is a technique used to differentiate equations that are not explicitly expressed in terms of one variable. It is particularly useful when you have an equation that defines a relationship between two or more variables, and you want to find the derivatives of those variables with respect to each other.

To find dy/dx for the curve x³y + y³ = sin y - x², the implicit differentiation will be used which involves differentiating both sides of the equation with respect to x.

It is expressed as follows;

\(\frac{d}{dx} x^3y + \frac{d}{dx} y^3 = \frac{d}{dx} sin(y) - \frac{d}{dx} x^2\)

Then we'll differentiate each term:

For the first term, x^3y, we'll use the product rule

\(\frac{d}{dx} x^3y = 3x^2y + x^3 \frac{dy}{dx}\)

For the second term, y^3, we'll also use the chain rule

\(\frac{d}{dx} y^3 = 3y^2 \frac{dy}{dx}\)

For the third term, sin(y), we'll again use the chain rule

\(\frac{d}{dx} sin(y) = cos(y) \frac{dy}{dx}\)

For the fourth term, x², we'll use the power rule

\(\frac{d}{dx} x^2 = 2x\)

Substituting these expressions back into the original equation, we get:

3x²y + x³(dy/dx) + 3y²(dy/dx) = cos(y)(dy/dx) - 2x

Simplifying the equation:3x²y + x³(dy/dx) + 3y²(dy/dx) - cos(y)(dy/dx) = -2x

Dividing both sides by 3y² - cos(y), we get:(x³ - cos(y))(dy/dx) = -2x / (3y² - cos(y))

Hence, the final answer is;\(\frac{dy}{dx} = \frac{-2x}{3y^2 - cos(y)} \div (x^3 - cos(y))\)

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True: Regression calculations are typically done on a computer because the calculations can be quite tedious and lengthy.

A regression is a statistical technique that relates a dependent variable to one or more independent (explanatory) variables. A regression model is able to show whether changes observed in the dependent variable are associated with changes in one or more of the explanatory variables

True. Regression calculations involve complex mathematical computations and analyzing large datasets, which can be time-consuming and prone to errors if done manually. Using a computer with specialized software can automate the process, making it faster, more accurate, and efficient.

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Answer:

6

Step-by-step explanation:

By the segment addition postulate, LM+MN=LN.

\(x+3=2x-3 \\ \\ 3=x-3 \\ \\ x=6\)

Answer:

(2) The statement is true.

-1 < r < 1

The remaining 50.4% of the variance has not been accounted for, and it could be due to other factors that are not captured by the two variables being studied.

If the correlation between two variables is .496, it means that 49.6% of the variance has been accounted for. This is because the correlation coefficient measures the strength and direction of the linear relationship between the two variables, and it ranges from -1 to 1.

A correlation of 1 indicates a perfect positive linear relationship, while a correlation of -1 indicates a perfect negative linear relationship. In this case, a correlation of .496 indicates a moderate positive linear relationship.

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