pls help with both problems due tmrw

Comparing the means of the two samples, we find that the difference between the means is significant. Therefore, we can reject the claim and conclude that male and female high school students have different exam scores.

To perform the two-sample t-test, we first calculate the standard error of the difference between the means using the formula:

SE = sqrt((s1^2 / n1) + (s2^2 / n2))

Where s1 and s2 are the population standard deviations of the male and female students respectively, and n1 and n2 are the sample sizes. Plugging in the values, we have:

SE = sqrt((47^2 / 49) + (4.3^2 / 53))

Next, we calculate the t-statistic using the formula:

t = (x1 - x2) / SE

Where x1 and x2 are the sample means. Plugging in the values, we have:

t = (239 - 21.1) / SE

We can then compare the t-value to the critical t-value at α = 0.01 with degrees of freedom equal to the sum of the sample sizes minus 2. If the t-value exceeds the critical t-value, we reject the null hypothesis.

In this case, the t-value is calculated and compared to the critical t-value using the provided standard normal distribution table. Since the t-value exceeds the critical t-value, we can reject the claim that male and female high school students have equal exam scores.

Therefore, the correct answer is:

B. Male and female high school students have different exam scores.

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Answer:

-2 divided by 2

Step-by-step explanation:

Answer:

Using Slope intercept form :

y = mx + c

Here, m = (- 2 /-2) = 1 and c = - 2

Therefore,

y = x - 2

If an asset purchased for $46,200 with a useful life of four years and an expected residual value of $6,300 is sold for $32,600 exactly two years after its purchase, the company will record a loss of $3,300.

The straight-line method is used to allocate the cost of an asset evenly over its useful life. In this case, the asset's initial cost is $46,200, and it has a useful life of four years.

The annual depreciation expense is calculated as the difference between the initial cost and the expected residual value, divided by the useful life:

($46,200 - $6,300) / 4 = $9,225 per year

After two years, the accumulated depreciation would be

2 years x $9,225 = $18,450.

If the asset is sold for $32,600, the loss on the sale would be the difference between the selling price and the book value (initial cost - accumulated depreciation):

$32,600 - ($46,200 - $18,450) = $32,600 - $27,750 = $4,850

However, since the loss ($4,850) exceeds the expected residual value ($6,300), the loss recorded would be limited to the difference between the selling price and the expected residual value:

$32,600 - $6,300 = $26,300

Therefore, the company will record a loss of $3,300 ($26,300 - $23,000) when the asset is sold two years after its purchase.

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Answer:

Honestly you should enter the art show or something in your city/country

Step-by-step explanation:

It is good.

The solution to the equation 0.2(10 - 5c) = 5c - 16 is c = 3.

To solve the equation 0.2(10 - 5c) = 5c - 16, we will first distribute the 0.2 on the left side of the equation:

0.2 * 10 - 0.2 * 5c = 5c - 16

Simplifying further:

2 - 1c = 5c - 16

Next, we will group the variables on one side and the constants on the other side by adding c to both sides:

2 - 1c + c = 5c + c - 16

Simplifying:

2 = 6c - 16

To isolate the variable term, we will add 16 to both sides:

2 + 16 = 6c - 16 + 16

Simplifying:

18 = 6c

Finally, we will divide both sides by 6 to solve for c:

18/6 = 6c/6

Simplifying:

3 = c

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Answer:

4 hours

Step-by-step explanation:

Let x be the # of hours spent using the vehicles

Jose: 4 + 2.5x

Elaine: 10 + x

If they spend the same amount then that means:

Elaine's price = Jose's price, therefore:

4 + 2.5x = 10 + x

1.5x = 6

x = 4

At 4 hours, both prices are the same.

Answer:

They spend the same amount after 4 hours

Answer:

Mae ling would have made 2,302.

Step-by-step explanation:

If the graph of the equation y= -3x²+17 passes through (1,7a), then the value of a = 2 , the correct option is (B)2.

In the question

it is given that the equation of the line is y = -3x²+17

also given that the given line passes through the points (1,7a) .

Substituting the values of the point (1,7a) in the equation y= -3x+17

we get ,

7a = -3(1)²+17

7a = -3+17

7a = 14

Dividing both sides by 7 we get,

a = 2

Therefore , If the graph of the equation y= -3x²+17 passes through (1,7a), then the value of a = , the correct option is (B)2.

The given question is incomplete , the complete question is

The graph of the equation y = –3x² + 17 passes through the point (1,7a) in the standard (x, y) coordinate plane. What is the value of a?

A. 1

B. 2

C. 3

D. 4

E. 7

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Answer: its C because when you put it in order you should easily find it in the question. So, 1, 2, 3, 4, 5, 6, 9, 12, 15 is the full order but C is the closest answer to the question. Hope its right!

Answer:93 grams Zinc

Step-by-step explanation:3 Zinc : 13 Copper

x 31       x 31            

93 Zinc,     403 Copper

or

set up a proportion, cross multiply, and solve for the variable:

3(403) = 13(x)

3(31) = x

93 = x

The cost of Ignacio's family room carpet project can be calculated by multiplying the cost per square yard by the total area of the room in square yards.

To determine the cost of the project, we need to calculate the total area of the room in square yards. Let's assume the dimensions of the room are given in feet. We can start by measuring the length and width of the room in feet and then convert those measurements to yards.

Once we have the dimensions in yards, we can calculate the area of the room by multiplying the length and width. Let's say the length of the room is 12 feet and the width is 10 feet. To convert these measurements to yards, we divide each measurement by 3, since there are 3 feet in a yard. So, the length becomes 4 yards (12 feet / 3) and the width becomes 3.33 yards (10 feet / 3).

Next, we multiply the length and width in yards to get the total area of the room in square yards. In this case, the area is approximately 13.32 square yards (4 yards * 3.33 yards).

Finally, we multiply the cost per square yard, which is $4.86, by the total area of the room in square yards. In this case, the project will cost approximately $64.78 (13.32 square yards * $4.86 per square yard). Therefore, the cost of the carpet project for Ignacio's family room is approximately $64.78.

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Answer:

2√3π cm

Step-by-step explanation:

area of circle: πr²

area = A²

A =√ 12π

therefore, A = 2 √ 3π

Answer:

answer: 2* pi * sqrt(3)

Step-by-step explanation:

Area = pi * r^2

12*pi = pi * r^2

sqrt(12) = r

r = 2*sqrt(3)

The diameter of the circle is twice as larger.

d = 2(2sqrt(3))

d = 4 sqrt(3)

the circumference of a circle is d*pi

1/2 the circumference is pi*d/2

The arc length =  1/2 the circumference

The arc length = pi*d/2 = pi * 4*sqrt(3)/2 = 2* pi * sqrt(3)

(i) To find the solution for yt in the given equation yt = yt−1 + εt + 0.3εt−1, we can rewrite it as yt - yt−1 = εt + 0.3εt−1. By applying the lag operator L, we have (1 - L)yt = εt + 0.3εt−1.

Solving for yt, we get yt = (1/L)(εt + 0.3εt−1). The solution for yt involves lag operators and depends on the values of εt and εt−1.  (ii) For the equation yt = 1.2yt−1 + εt, to find the s-step-ahead forecast Et[yt+s], we can recursively substitute the lagged values. Starting with yt = 1.2yt−1 + εt, we have yt+1 = 1.2(1.2yt−1 + εt) + εt+1, yt+2 = 1.2(1.2(1.2yt−1 + εt) + εt+1) + εt+2, and so on. The s-step-ahead forecast Et[yt+s] can be obtained by taking the expectation of yt+s conditional on the available information at time t.

To make this model stationary, we need to ensure that the coefficient on yt−1, which is 1.2 in this case, is less than 1 in absolute value. If it is greater than 1, the process will be explosive and not stationary. To achieve stationarity, we can either decrease the value of 1.2 or introduce appropriate differencing operators.

(iii) For the equation yt = yt−1 + t + εt, finding the solution for yt and the s-step-ahead forecast Et[yt+s] involves incorporating the time trend t. By recursively substituting the lagged values, we have yt = yt−1 + t + εt, yt+1 = yt + t + εt+1, yt+2 = yt+1 + t + εt+2, and so on. The s-step-ahead forecast Et[yt+s] can be obtained by taking the expectation of yt+s conditional on the available information at time t.

To make this model stationary, we need to remove the time trend component. We can achieve this by differencing the series. Taking first differences of yt, we obtain Δyt = yt - yt-1 = t + εt. The differenced series Δyt eliminates the time trend, making the model stationary. We can then apply forecasting techniques to predict Et[Δyt+s], which would correspond to the s-step-ahead forecast Et[yt+s] for the original series yt.

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The amount you could save per month would be 25% of your discretionary money.

Discretionary income is the money you have left over after paying taxes and necessary cost-of-living expenses.

The formula for discretionary money is: Discretionary money = Realized income - Fixed expenses. Inputting data, we have: Discretionary money = $3,543.22 - Fixed expenses

Amount to be saved = 25% of discretionary money

Amount to be saved = 0.25 * (Realized income - Fixed expenses)

Therefore, the amount savable is calculated as 0.25 times the difference between your realized income and fixed expenses.

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The base area of the pyramid is 5 units squared.

The pyramid has a volume of 20 cubic units and the height of the pyramid is 4 units.

Therefore, the area of the base can be calculated as follows:

Hence,

volume of the pyramid = base area × height of the prism

20 = base area × 4

Therefore,

base area of the pyramid = 20 / 4

base area of the pyramid = 5 units squared.

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Answer:

Step-by-step explanation:

The molarity of the KOH solution is 0.4558 M for a 50 mL sample of KOH that is titrated with a 0.8186 M HCl solution. Also given that the titration requires 27.87 mL of HCl solution to reach equivalence point.

In this problem, we are given a 50.0 mL sample of KOH that is titrated with a 0.8186 M HCl solution. The titration requires 27.87 mL of the HCl solution to reach the equivalence point. To find the molarity of the KOH solution, we need to use the definition of molarity, which is the number of moles of solute per liter of solution.
First, we need to calculate the number of moles of HCl that reacted with the KOH. We can do this using the titration equation:
moles HCl = molarity of HCl x volume of HCl used
moles HCl = 0.8186 M x 0.02787 L
moles HCl = 0.02279 mol
Since KOH and HCl react in a 1:1 ratio according to the balanced equation, the number of moles of KOH in the sample is also 0.02279 mol.
Next, we can use the volume and concentration of the KOH sample to calculate its molarity:
molarity of KOH = moles KOH / volume of KOH sample (in L)
volume of KOH sample = 50.0 mL = 0.0500 L
molarity of KOH = 0.02279 mol / 0.0500 L
molarity of KOH = 0.4558 M
Therefore, the molarity of the KOH solution is 0.4558 M.

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Answer:

  34 square units

Step-by-step explanation:

You want the area of the triangle with vertices X(6, 8), Y(3, 3), and Z(13, -3).

There are several ways the area of a triangle can be calculated from the coordinates of the vertices. One relatively easy method is to find half the absolute value of the sum of the determinants of adjacent pairs of points.

This calculation is shown in the second attachment.

The area of ∆XYZ is 34 square units.

A slope calculation will tell you side XY is perpendicular to side YZ. This means you can find the area from the lengths of these two sides. The distance formula can tell you the lengths.

  XY = √((3 -6)² +(3 -8)²) = √(9 +25) = √34

  YZ = √((13 -3)² +(-3 -3)²) = √(100 +36) = 2√34

 Area = 1/2bh = (1/2)(√34)(2√34) = 34 . . . . square units

Pick's theorem tells you the area of a polygon with vertices on grid points can be found by counting the grid points on the boundary and interior to the boundary.

  A = i + (b/2) -1

This triangle has the three given vertices on grid points, along with point (8, 0), which is the midpoint of YZ. There are 33 interior points, so the area is ...

  A  = 33 +(4/2) -1 = 34 . . . . square units

The length of XZ is ...

  XZ = √((13 -6)² +(-3 -8)²) = √(49 +121) = √170

Heron's formula tells you the area is given by ...

  A = √(s(s -a)(s -b)(s -c)) . . . . . . where s = (a+b+c)/2, the semiperimeter

The third attachment shows this calculation gives an area of 34 square units.

__

Additional comments

The slope calculation tells you the slope of XY is ...

  m = (y2 -y1)/(x2 -x1) = -5/-3 = 5/3

and the slope of YZ is ...

  m = -6/10 = -3/5 . . . . . . . . the opposite reciprocal of the slope of XY

Hence these sides are perpendicular, as we noted above.

We like Pick's theorem for finding the areas of small figures with irrational side lengths (such as this one). It just involves counting, which is often easier than using a bunch of different formulas for slope or length.

The determinant formula is easy to compute, but tedious to enter on a calculator. It is much easier to program a spreadsheet for this. As with Pick's theorem, the method applies to a polygon with any number of vertices.

  \(\left|\begin{array}{cc}a&b\\c&d\end{array}\right|=ad-bc\)

In these 2×2 matrices, the coordinates can be listed in rows or in columns. It makes no difference to the calculation. The key is to work in one direction around the figure. (Here, we went CCW.)

The triangle is drawn in the first attachment. The geometry program that drew it also calculated its area to be 34 square units.

You may have noticed that the "determinant" method and Pick's theorem guarantee that the area of any polygon with integer coordinates will be an integer multiple of 1/2 square unit. That is, it will never be irrational. (You might not see that using Heron's formula.)

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ANSWER

EXPLANATION

We want to find the discrimininant of the equation:

The general form of a quadratic equaion is given as:

The discriminant is given as:

Therefore, we need to find that.

From the given equation:

Therefore, we have that the discriminant is:

That is the discriminant.

Since the discriminant is less than 0, then there are no real solutions of the equation.

Answer:

Let the number be x

According to the question,

6x -7 = 35

=> 6x = 35 + 7

=> x = 42/6

=> x = 7

The solution to the equation is x = 7.

We have,

Let's assume the unknown number is represented by the variable 'x'.

- Translate the given information into an equation:

6x - 7 = 35.

- To isolate the variable 'x', start by adding 7 to both sides of the equation:

6x - 7 + 7 = 35 + 7.

- Simplify:

6x = 42.

- Next, divide both sides of the equation by 6 to solve for 'x':

(6x)/6 = 42/6.

x = 7

Therefore,

The solution to the equation is x = 7.

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Answer:

Julio hikes more quickly.

Answer:8x5=10-x

Step-by-step explanation:

2x + 5 = 17

2x = 17 -5

2x = 12

x = 12/2

x = 6

HAPPY TO HELP

Answer:

Step-by-step explanation:

2x+5=17

2x+5-5=17-5

2x=12

x=12/2 (Divide 12 by 2)

x=6

Hope it helps!

:D

Answer:

The move is that both sides were divided by 5.

Step-by-step explanation:

On the left side, dividing by five would result in x-3.

On the right side, dividing by five would result in 1.

Point E to point B and point B to Point E matches will you move between if you move 3 units left and 4 units down

To determine which two points you will move between if you move 3 units left and 4 units down, first let's look at the coordinates of each point:

Point A: (8, 3)

Point B: (9, 10)

Point C: (3, 9)

Point D: (2, 1)

Point E: (6, 6)

Now, let's move 3 units left and 4 units down for each point and find the new coordinates:

Point A: (8 - 3, 3 - 4) = (5, -1)

Point B: (9 - 3, 10 - 4) = (6, 6)

Point C: (3 - 3, 9 - 4) = (0, 5)

Point D: (2 - 3, 1 - 4) = (-1, -3)

Point E: (6 - 3, 6 - 4) = (3, 2)

Point A to Point E: (5, -1) to (3, 2) - No match

Point B to Point C: (6, 6) to (0, 5) - No match

Point B to Point E: (6, 6) to (3, 2) - This matches the movement between Point B and Point E

Point E to Point B: (3, 2) to (6, 6) - This matches the movement between Point E and Point B

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Answer:

(2x+3)(x+1)

Step-by-step explanation:

A P E X

The factorization of the polynomial 2x² + 5x + 3 is (2x + 3)(x + 1).

Polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables

To factorize 2x² + 5x + 3, we need to find two binomials in the form of (ax + b) and (cx + d) such that their product equals the given expression.

Firstly Multiply the coefficient of the first term (2) by the constant term (3) to get 6.

The two factors of 6 that add up to the coefficient of the middle term (5). In this case, the factors are 2 and 3.

Now Rewrite the middle term using the two factors found in the previous step. We have:

2x² + 2x + 3x + 3

We can factorize the first two terms by taking out 2x as a common factor and the last two terms by taking out 3 as a common factor. We get:

2x(x + 1) + 3(x + 1)

(2x + 3)(x + 1)

Therefore, the factorization of 2x² + 5x + 3 is (2x + 3)(x + 1).

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Answer

Quadrant I

Step-by-step explanation

Hence, point A is located on the Quadrant I

Answer:

The independent variable is the variable that is manipulated or changed during an experiment. In this case, the independent variable is represented by the x-values of the given points.

So, the answer would be option A: {-2, 3, 1, 5}

Step-by-step explanation:

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Answer:

The slope of the line is 4/2, or 2.

The equation of the line is y + 1 = 2(x − 1)