In testing the validity of a multiple regression model in which there are four independent variables, the null hypothesis is:_________.

The solution of given system of equations is (1/5, 6).

What is system of equation?

A set or group of equations that you solve all at once is referred to as a "system" of equations. The simplest linear system is one with two equations and two variables. Linear equations are simpler than non-linear equations because they graph as straight lines.

Given equations : 5x+y=7

                             20x+2=y

We can solve it by using substitution method:

Now, we have 5x+y=7

it can be written as,

         y = 7 - 5x .... equation 1

Similarly, we have 20x+2=y

can be written as,

           y = 20x+2 ..... equation 2

Subtracting equation 1 from equation 2

we get,  20x+2 - ( 7 - 5x ) = 0

             20x + 5x + 2 - 7 = 0

             25x = 5

               x = 1/5

Putting x=1/5 in equation 1,

we get, y = 20 × 1/5 + 2

               = 4 +2

               = 6

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The present value of the annuity is approximately `7032.08. The correct answer is option (d) None of these.

To find the present value of an annuity, we can use the formula:

PV = PMT * (1 - (1 + r)^(-n)) / r

Where PV is the present value, PMT is the periodic payment, r is the interest rate per period, and n is the number of periods.

In this case, the periodic payment is `200, the interest rate is 5% (or 0.05) converted quarterly, and the number of periods is 10 years, which equals 40 quarters.

Plugging in these values into the formula, we get:

PV = 200 * (1 - (1 + 0.05)^(-40)) / 0.05

Simplifying the equation, we find:

PV ≈ 200 * (1 - 0.12198) / 0.05

PV ≈ 200 * 0.87802 / 0.05

PV ≈ 35160.4 / 0.05

PV ≈ 7032.08

Therefore, the present value of the annuity is approximately `7032.08.

None of the provided answer options (a), (b), or (c) match this result. The correct answer is (d) None of these.

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Answer:

Step-by-step explanation:

Answer:

4x + 7x - 2 + 5x - 10 = 180

16x - 12 = 180

16x = 192

x = 12

m<A= 4x = 4(12) = 48

m<B = 7x - 2 = 7(12) - 2 = 84 - 2 = 82

m<C = 5x - 10 = 5(12) - 10 = 60 - 10 = 50

Step-by-step explanation:

.

Answer:

H. 40%

Step-by-step explanation:

I want a hug because I am a little sad

Answer:

To solve a geometric shape, you need to know its properties such as the number of sides, angles, and other measurements that are relevant to the particular shape. Here are some steps to solve a geometric shape:

1. Identify the shape: Determine the name of the shape, such as a square, circle, triangle, or rectangle.

2. Determine the properties: Find out the properties of the shape based on its name. For example, a square has four equal sides and four right angles.

3. Measure the dimensions: Measure the dimensions of the shape such as the length of the sides, the diameter, or the radius.

4. Use formulas: Use the appropriate formulas to calculate missing measurements such as the area or perimeter of the shape.

5. Check your work: Finally, check your work to ensure that all calculations and measurements are correct.

Remember that the solution to a geometric shape problem will depend on the specific properties and measurements of that shape.

-5 > - 18

Option 5 is correct

Note that:

• > is read as "greater than"

• Negative numbers with lower magnitude is greater than negative numbers with higher magnitude

• Negative numbers are lower than positive numbers

Therefore, following the points highlighted above, the correct option is:

-5 > -18

For Serenity's lemonade recipe, the lemons being used per cup of lemonade is 0.8

Ratio is a comparison of two quantities that are expressed in relation to each other. Ratios are typically expressed in the form of a fraction, with the numerator representing one quantity and the denominator representing the other quantity.

To find the rate at which lemons are being used in lemons per cup of lemonade, we need to calculate the ratio of lemons used to cups of lemonade.

According to the recipe, 4 lemons are required to make 5 cups of lemonade. So the rate of lemons used is:

4 lemons / 5 cups = 0.8 lemons per cup of lemonade

This means that for every cup of lemonade, 0.8 lemons are used.

Alternatively, we can also express this rate as a fraction, which gives us:

0.8 lemons / 1 cup of lemonade

Either way, the rate of lemons used is 0.8 lemons per cup of lemonade.

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Account Compounding Interest after 6 years

1 quarterly

A1 = -$1798.42

2 monthly $

A2 = -$1798.01

3 daily $

A3 =  -$1797.96

1) An account with quarterly compounding: After 6 years, the formula to calculate the interest is:

Interest = Principal \(\times\)(1 + (rate / \(n))^{(n * t)}\) - Principal

Substituting the given values:

Principal = $2200

Rate = 3% = 0.03

n = 4 (quarterly compounding)

t = 6 years

Interest = $2200 \(\times\) (1 + (0.03 / \(4))^{(4 \times 6)}\) - $2200

Interest = $2200 \(\times\)\((1.0075)^{(24)}\) - $2200

Interest ≈ $401.58 - $2200

Interest ≈ -$1798.42 (rounded to two decimal places).

2) An account with monthly compounding: After 6 years, the formula remains the same, but the compounding frequency changes:

   Principal = $2200

   Rate = 3% = 0.03

   n = 12 (monthly compounding)

   t = 6 years

Interest = $2200 \(\times\)(1 + (0.03 / \(12))^{(12 \times 6)}\) - $2200

Interest = $2200 \(\times\)\((1.0025)^{(72)}\) - $2200

Interest ≈ $401.99 - $2200

Interest ≈ -$1798.01 (rounded to two decimal places)

3) An account with daily compounding: Using the same formula with the compounding frequency:

   Principal = $2200

   Rate = 3% = 0.03

   n = 365 (daily compounding)

   t = 6 years

Interest = $2200 \(\times\)(1 + (0.03 / \(365))^{(365 \times 6)}\) - $2200

Interest = $2200 \(\times\)\((1.000082)^{(2190)}\) - $2200

Interest ≈ $402.04 - $2200

Interest ≈ -$1797.96 (rounded to two decimal places)

In all three cases, the interest earned is negative, indicating that the accounts would have lost money rather than gained interest.

This suggests that there might be an error in the calculations or the provided interest rates. It's important to verify the given information to ensure accurate calculations and resolve any discrepancies.

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The measure of angle ∠NSR  is 118 degrees

The central angle of an arc is the central angle subtended by the arc.

The measure of an arc is the measure of its central angle.

We have to find angle ∠NSR

The measure of angle NSR is the half of the sum of the two arc measures

186 degrees and 50 degrees are the measures of the arcs in the given circle.

∠NSR = 1/2(186+50)

= 1/2(236)

When we divide numerator and denominator by 2 we get one hundred eighteen

=118 degrees

Hence, the measure of angle ∠NSR  is 118 degrees

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The solution is A = ( a - 12 )

The value of the equation is A = ( a - 12 )

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

A = ( a² - 15a + 36 ) / ( a - 3 )   be equation (1)

On simplifying the equation , we get

Factorizing the numerator , we get

( a² - 15a + 36 ) = a² - 3a - 12a - 36

Taking the common factors , we get

a² - 3a - 12a - 36 = a ( a - 3 ) - 12 ( a - 3 )

Now , on further simplification , we get

( a² - 15a + 36 ) = ( a - 12 ) ( a - 3 )

So , the equation A is expressed as

A =  ( a - 12 ) ( a - 3 ) / ( a - 3 )

The common term is cancelled out , and the equation is

A = ( a - 12 )

Therefore , the value of A is ( a - 12 )

Hence , the equation is ( a - 12 )

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Answer:

the answer is: O 50%

It would be wiser for the couple to stay in the old apartment and save $1400.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

Explanation:

If they stay until the end of the lease, total money that will be paid out is $1000 x 6 = $6000,

If they leave, they'll have to forgo $1000.

If they move to their new apartment, they'll pay $900 x 6 = $5400

total expenditure if they move to the new place at the end of the six months period will be, the $1000 that will not be refunded back to them on the old apartment, plus this new $5600 for six month's rent in this new apartment, and that will be a total of $6400.

It would be wiser for the couple to stay in the old apartment and save $1400.

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The 99% confidence interval for the population proportion p is (0.776, 0.824).

To find the 99% confidence interval for a proportion, we can use the formula:

CI = p^ ± z*(SE)

where p^ is the sample proportion, SE is the standard error, and z is the critical value from the standard normal distribution corresponding to the level of confidence.

For a 99% confidence interval, the critical value z is 2.576.

Substituting the given values into the formula, we have:

CI = 0.80 ± 2.576*(0.03/√200)

Simplifying this expression, we have:

CI = 0.80 ± 0.024

This means that we are 99% confident that the true population proportion falls between 0.776 and 0.824. We can interpret this interval as a range of plausible values for the population proportion, based on the sample data.

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Answer:

too far to be human

Step-by-step explanation:

in 10 mins i walk 1 mile

Answer:

96 miles

Step-by-step explanation:

There are 60 minutes in 1hr so 10*6= 60

16*6= 96

:)

The nth term of the given sequence is 1/n².

An arithmetic progression (AP) is a sequence of numbers in which each term, starting from the second term, is obtained by adding a fixed constant value to the previous term. This constant value is called the common difference, and it remains the same throughout the sequence.

A geometric progression (GP) is a sequence of numbers in which each term, starting from the second term, is obtained by multiplying the previous term by a fixed constant value. This constant value is called the common ratio, and it remains the same throughout the sequence.

In the given question,

The given sequence is of the form:

1, 1/2², 1/3², 1/4², ...

So, the nth term can be written as:

1/n²

Therefore, the nth term of the given sequence is 1/n².

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Answer:

\(-\frac{21}{2} x+5\)

Step-by-step explanation:

To find the slope of the equation, you use \(\frac{rise}{run}\) , or \(\frac{y_{2} - y_{1}}{x_{2} - x_{1}}\) :

\(\frac{-16-47}{2+4}\)=\(\frac{-63}{6}\)=\(\frac{-21}{2}\)

Then you have to find the y intercept. First, plug in the x of a point and solve:

\(\frac{-21}{2}\) * 2= -21

Then, find the distance between the answer and the y of the given point. Since our answer is smaller than the y of the point, we'll get a positive y- intercept.

21-16=5

This will give us the equation:

\(-\frac{21}{2} x+5\)

The coordinate matrix of x relative to an orthonormal basis b in \(R^n\) can be found by computing the inner product of x with each basis vector and representing these inner products as the entries of a column vector.

To find the coordinate matrix of x relative to an orthonormal basis b in R^n, we need to express x as a linear combination of the basis vectors in b. This can be done by computing the inner product (dot product) of x with each basis vector and representing these inner products as the entries of a column vector. The resulting vector is the coordinate matrix of x relative to the orthonormal basis b.

For example, let x be a vector in \(R^n\\\), b = \({b_1, b_2, ..., b_n}\) be an orthonormal basis in R^n, and let A be the coordinate matrix of x relative to b. Then the entries of A are given by:

A = \(( x, b_1 , x, b_2 , ..., x, b_n )^T\) where \(x, b_i\) denotes the inner product of x and \(b_i\).

It is important to note that the basis b must be orthonormal for the coordinate matrix to have this form, if the basis is not orthonormal, the process will be different.

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After 4 half-lives, only 1/16th (or 0.0625) of the initial amount of the radioactive isotope will remain.

The amount of a radioactive isotope remaining after a certain number of half-lives can be calculated using the formula:

Amount remaining = Initial amount × (1/2)^(number of half-lives)

In this case, we are given the initial amount as "grams" and we want to find out the amount remaining after 4 half-lives.

So, the equation becomes:

Amount remaining = Initial amount × (1/2)^4

Since each half-life reduces the quantity to half, (1/2)^4 represents the fraction of the initial amount that will remain after 4 half-lives.

Simplifying the equation:

Amount remaining = Initial amount × (1/16)

Therefore, after 4 half-lives, only 1/16th (or 0.0625) of the initial amount of the radioactive isotope will remain.

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Answer:

124 mm is the longest side

Step-by-step explanation:

5x + 3 + 7x + 5 + 12x -20 = 276

24x -12 = 276

24x = 288

x = 12

1st side = 5x+3 =5(12)+3=63 mm

2nd side = 7x + 5=7(12) + 5=89 mm

3rd side = 12x -20= 12(12) -20=124 mm

a. 0.7787; b. 0.0228; c. 0.7453; d. 0.9793. The probabilities are found by looking up the Z-value in Table 1 and finding the corresponding probability.

a. To find the probability that Z is greater than 0.74, we look up 0.74 in Table 1 and find the corresponding probability. The probability that Z is greater than 0.74 is 0.7787, which is the area to the right of the Z-value in the table.

b. To find the probability that Z is less than or equal to −1.92, we look up −1.92 in Table 1 and find the corresponding probability. The probability that Z is less than or equal to −1.92 is 0.0228, which is the area to the left of the Z-value in the table.

c. To find the probability that Z is between 0 and 1.62, we look up 0 and 1.62 in Table 1 and find the corresponding probabilities. The probability that Z is between 0 and 1.62 is 0.7453, which is the area between the two Z-values in the table.

d. To find the probability that Z is between −0.90 and 2.94, we look up −0.90 and 2.94 in Table 1 and find the corresponding probabilities. The probability that Z is between −0.90 and 2.

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Answer:

Fill in the blanks to declare sum equal to a + b (int _ = a __b)Which of the following is not a valid variable name in python?What shape represents the start and end of a flowchart?Which of the following is not a valid variable name in python?An integer data type can hold decimal values.Which of the following is not a valid variable name in python?An integer data type can hold decimal values.Which of the following is not a valid variable name in python?Fill in the blanks to declare sum equal to a + b (int _ = a __b)Variables must be defined with a name and a data type before they

can be usedAn integer data type can hold decimal values.Which of the following is not a valid variable name in python?Fill in the blanks to declare sum equal to a + b (int _ = a __b)Variables must be defined with a name and a data type before th

The table is not linear nor exponential.

Hence, The answer is neither.

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.

We know that;

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

From the table, we can make coordinates points.

(-10, 3)

(-5, 30)

(0, 300)

(5, 3000)

If the relationship is linear we must have the rate of change between two coordinates equal.

Rate of change between (-10, 3) and (-5, 30) is,

⇒ (30 - 3) / (- 5 - (-10))

⇒ 27 / 5

And, Rate of change between (-5, 30) and (0, 300)

⇒ (300 - 30) / (0 - (-5))

⇒ 270 /  5

⇒ 270/5

So, The relation is not a linear relation.

Now, If we plot the graph we get a curve shape.

This means, The relation is not exponential.

Thus, The table is not linear nor exponential.

The answer is neither.

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The size of the exterior angle in the given 7-sided shape, as shown in the image attached below is: x = 46°.

To calculate the size of the exterior angle in a polygon when the interior angle is known, we can use the following relationship:

Interior angle + Exterior angle = 180°

Given that the interior angle measures 134°, as shown in the image below, we can substitute it into the equation:

134° + Exterior angle = 180°

To isolate the exterior angle, we subtract 134° from both sides of the equation:

Exterior angle = 180° - 134°

Simplifying further:

Exterior angle = 46°

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Answer:

a) Yes , Cause The Expected Returns of stock A is Higher than that of B

b) No,  Cause The Expected Returns of stock B is Lower than that of A

Step-by-step explanation:

From the question we are told that:

Beta A \beta A=1.4

Beta B \beta B=0.8

Stock 1 Growth rates of earnings and dividends G_1=10\%

Stock 2 Growth rates of earnings and dividends  G_2=5\%

Stock 1  Dividend yields D_1=5\%

Stock 2 Dividend yields  D_2=7\%

Generally the equation for Expected Returns is mathematically given by

Expected Returns =Growth rates+Dividend yields

For Stock 1

Expected\ Returns =G_1+D_1

Expected\ Returns =5%+10%

Expected\ Returns =15%

For Stock 2

Expected\ Returns =G_2+D_2

Expected\ Returns =7%+5%

Expected\ Returns =12%

Therefore

a) Yes , Cause The Expected Returns of stock A is Higher than that of B

b) No,  Cause The Expected Returns of stock B is Lower than that of A

Answer:

x = 13.5

Step-by-step explanation:

x = 11 · (sin 34°) / sin 27°

Answer:

120

Step-by-step explanation:

180-27-34=119

119 round up to nearest 10 = 120

You look up at 1 but you are not soposed to answer the question by looking at 1, if you have nearest 10 to round then always look at the units.

Always look at the second digit of the nearest number that you would round up.

Example:

round 560 to the nearest 100.

The answer would be 600 because 0-4 goes down and 5-9 goes up,

and in  this number 5 goes up so the answer would be rounded up.

If the question said round 560 to the nearest 10 then the answer would be the same because the second digit is 0 and 0 goes down so it does not make any difference. If the second digit goes down then you do not need to change your answer the answer would be the same as the question number.

Step-by-step explanation:

Just till the number 9 upside down to make it 6 then

6+11+13=30

The sum of three odd numbers can never be even. so I did it in that way.

I HOPE THIS WILL HELP U

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