Which are the better statistics to use to compare the team scores?27Team A's scoresHO27 29 31 33 35 37 39 41Team B's scoresHhi2931 3335 37 39 4143 4543 45

start by subtracting the maximum and the minimun vaue

now divide that into 4

since is the third quartile mutipli that by 3

round to 7.01

add that to the minimun value

10.82+7.01=17.83

The radius of sphere is r = 6.

The formula for the volume of sphere is,

Substitute the value in the formula to determine the volume of sphere.

Answer: Option A

Answer:

(1, 2)

Explanation:

The solution of the system is the intersection point of the lines. In this case, the intersection point is (1, 2), so the solution set is the order pair (1, 2)

The required set of coordinates with the match is shown.

Distance between points can be evaluated from the distance formula,
(3, 4) and (2, 1)
= √[(3-2)² + (4-1)²]
= √ 10
Similarly,
The points whose distance between them is √10 are,
(3, 4) and (2, 1)
(-2, 3) and (1, 2)
(-4, -2) and (-3, 1)

The points whose distance between them is √29 are,
(3, 7) and (5, 2)
(5,-2) and (3, 3)
(4, -1) and (-1, 1)

Thus, the required set of coordinates with the match is shown.

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Answer:

11: 4.64 m

12: 61.6 in

Step-by-step explanation:

formula for an area of a triangle is base times height divided in half and 2.9 times 3.2 is 9.28 and divided by 2 you get 4.64

formula for a trapezoid is base 1 plus base 2 in half times height and 12 plus 10 is 22 divided by 2 it is 11 and 5.6 times 11 is 61.6

Given:

Al gave correct answers to 11 of the 20 questions on the driving test.

So, the percent of the correct answers =

so, the answer will be

the percent of the questions did he get correct = 55%

The amount that a student would pay in interest on a $1,500 loan for 2 years is $161.70

What is simple interest?

Under simple interest loan arrangement, the same amount of interest is paid every year for the entire duration of the loan as the interest is determined as the loan principal multiplied by interest rate as well as multiplied by the loan duration expressed in years as indicated below:

I=PRT

I=the interest on the Stafford loans in dollars=unknown

P=Stafford loans principal=$1500

R=annual rate of interest on the loan=5.39%

T=the loan period in years=2

I=$1500*5.39%*2

I=$161.70

Over the period of 2 years, the interest on the student's loan is $161.70

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Since the buying price is RS 40

Since the selling price is RS 24

If the selling price is less than the buying price, then it is a loss

To find the percent of loss Divide the loss by the buying price, then multiply the answer by 100%

The percent of the loss is

The percent of loss is 40%

Answer: its A i hope this helps <3

Step-by-step explanation:

We can say that the two triangles are identical, then, the angle GPK is equal to the angle KPH, then we write the following equation:

Now we know the value of x, we can return to the equation and find the value of the angle GPK

Therefore, the measure of the angle GPK is equal to 50 degrees

2

1)In this case, let's plug in 3 from the domain set into the function g(x):

g(3) =8-2(3)

g(3) =8-6

g(3) =2

2) So 2 is the value in the Range when 3 is plugged in from the Domain set.

Answer:

[tex]g(3)=2[/tex]

Step-by-step explanation:

We are given a function:

[tex]g(x)=8-2x[/tex]

We are asked to find g(3).

First, substitute 3 as x in g(x):

[tex]g(x)=8-2x\\\\g(3)=8-2x[/tex]

Then, substitute 3 as x in the function:

[tex]g(3)=8-2x\\\\g(3)=8-2(3)[/tex]

Simplify the function by multiplying 2(3):

[tex]g(3)=8-2(3)\\\\g(3)=8-6[/tex]

Then, simplify by performing the final necessary arithmetic:

[tex]g(3)=8-6\\\\g(3)=2[/tex]

Therefore, g(3) = 2.

The statement ~(p v (p ^ q)) is classified as follows:

C. contingent

When a logic statement is always true, no matter the inputs, it is called a tautology. Otherwise, when a statement is always false, no matter the inputs, it is called a contradiction.

If the statement can be either true or false, depending on the boolean values of the inputs, the statement is called contingent.

The statement given in this problem is as follows:

~(p v (p ^ q))

From the precedence of operations, it is found that:

Since the statement can be either true or false, depending on the boolean values of p and q, it is classified as contingent, and option c is correct.

This problem is incomplete and could not be found on any search engine, hence I will consider that it asks to classify the statement ~(p v (p ^ q)).

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Answer:

[tex]\textsf{(2) \quad $m \angle A=m \angle M$ and $\dfrac{AB}{MN}=\dfrac{AC}{MP}$}[/tex]

Step-by-step explanation:

Two triangles are said to be similar if their corresponding angles are the same size and the corresponding sides are in the same ratio.

Therefore, if triangle ABC is similar to triangle MNP then their corresponding angles are congruent:

Similarly, if triangle ABC is similar to triangle MNP then their corresponding sides are in the same ratio:

[tex]\implies \dfrac{AB}{MN}=\dfrac{BC}{NP}=\dfrac{AC}{MP}[/tex]

SAS Triangle Similarity

If two sides of one triangle are in the same ratio to the corresponding sides of another triangle, and their included angles are congruent, then the triangles are similar.

∠A is the included angle of sides AB and AC.

∠M is the included angle of sides MN and MP.

Therefore, the only statement that shows that two corresponding sides are in the same ratio and their included angles are congruent is:

[tex]\textsf{(2) \quad $m \angle A=m \angle M$ and $\dfrac{AB}{MN}=\dfrac{AC}{MP}$}[/tex]

According to the solving Each register held eight $20 bills, thirteen $100 bills.

A two-variable linear equation can be thought of as a linear relationship between x and y, or two variables where the value of one (often y) relies on the value of the other (usually x). In this scenario, y is referred to as the dependent variable because it depends on the independent variable, x.

A line in the Euclidean plane is formed by a linear equation's solutions, and every line may be thought of as the collection of all solutions to a linear equation with two variables. This is where the term "linear" for this class of equations came from.

x=number of $20bills

y=number of $100 bills

20x+100y

=1460 20x+100(-x+21)

=1460 20x-100x+2100

=1460 -80x

=-640 x

=8

-8+21 =13

y=13

20x+y=21 --&g t;

y=-x+21

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Given:

We have a rate of 12 degrees every 3 hours, then, to find the rate for every hour we just divide this rate by 3.

We have a rate of decrease of 4 degrees/h.

-42

Explanation

the determinant of a 2 X 2 matrix is given by:

so, the determinant of the matrix

would be

therefore, the answer is

-42

I hope this helps you

The integer that represents the change in Awat's account is $-68.

The difference between the integers that represents withdrawal and deposits is the integer that represents withdrawals is negative while the integer that represents deposits is positive.

In order to determine the total withdrawals in four days, multiply the daily withdrawals by the number of days. Multiplication is the arithmetic operation that is used to determine the product of two or more numbers.

Total withdrawals = daily withdrawal x number of days

$17 x -4 = $-68

When there is a withdrawal, the value of the money in the account would decline. Thus, this would be represented with a negative number. A negative number has a negative sign in front of it. When there is a deposit, the value of the money in the account would increase. Thus, this would be represented with a positive number.

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Given

Stack of 39 pennies is exactly as tall as 31 pennies

Find

the correct options

Explanation

No the two stacks will have different volume.

The two stacks will have same height but the area of cross section of the penny stack is smaller than that of nickel stack

Final Answer

option (b) is correct

The journal entries for the bonds transactions of Shunda Corporation are as follows:

1. Debit Cash $23,829,684

Credit Bonds Payable $22,000,000

Credit Bonds Premium $1,829,684

2. Debit Interest Expense $834,039

Debit Bonds Premium $155,961

Credit Cash $990,000

3. Debit Interest Expense $828,580

Debit Bonds Premium $161,420

Credit Cash $990,000

b. Bond Interest Expense for the first year is as follows:

Annual interest paid = $1,980,000

Premium amortized = $317,381

Interest Expense = $1,662,619

c. The bonds sell for more than their face amount because the market rate of interest is less than the contract interest rate. Investors are willing to pay more for bonds that pay a higher rate of interest (contract rate) than the rate they could earn on similar bonds (market rate).

Face value of bonds = $22,000,000

Bonds Proceeds = $23,829,684

Bonds Premium = $1,829,684 ($23,829,684 - $22,000,000)

Coupon interest rate = 9%

Semi-annual interest payment = $990,000 ($22,000,000 x 9% x 1/2)

Effective market interest rate = 7%

1. Cash $23,829,684 Bonds Payable $22,000,000 Bonds Premium $1,829,684

2. Interest Expense $834,039 Bonds Premium $155,961 Cash $990,000

3. Interest Expense $828,580 Bonds Premium $161,420 Cash $990,000

Interest Payment at 4.5% $990,000

Interest Expense            = $834,039 ($23,829,684 x 3.5%)

Amortized Premium =        $155,961

Bond's carrying value = $23,673,723 ($23,829,684 - $155,961)

Interest Payment at 4.5% $990,000

Interest Expense            = $828,580 ($23,673,723 x 3.5%)

Amortized Premium =        $161,420

Bond's carrying value = $23,512,303 ($23,673,723 - $161,420)

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Answer:

f(x) is a function. For example f(x) = 2x + 1

If you were to say evaluate f(2), you would plug in the '2' to 'x'.

So in the example I gave, f(2) = 2(2) + 1

f(2) = 4 + 1

f(2) = 5

The formula for determining the midpoint of a line is expressed as

(x1 + x2)/2 , (y1 + y2)/2

x1 and y1 represents the coordinates of the starting point of the line

x2 and y2 represents the coordinates of the end point of the line

The given line is FG. It means that the starting point is F and the end point is G. From the information given,

x1 = 8, y1 = - 2

x2 = ?, y2 = ?

For Midpoint coodinates, x = 1, y = 0

Therefore,

(8 + x2)

We are given the function

f(x) = 2(1/2)^1

Firstly, let f(x) = y

Then, y = 2(1/2)^x

To find y, substitute the value of x into the function.

y = 2(1/2)^x

Find y, when x = -1

y = 2(1/2)^-1

y = 2 ( 1/ 1/2)

y = 2(2 x 1 / 1)

y = 2 x 2

y= 4

When x = -1 , y = 4

find y, when x = 0

y = 2(1/2)^0

In mathematics, anything raise to the power of zero is 1

Therefore, (1/2)^0 = 1

y = 2 x 1

y = 2

When x = 0 , y = 2

find y, when x = 1

y = 2(1/2)^1

y = 2 * 1/2

y = 2/2

y = 1

when x = 1, y= 1

find y, when x = 2

y = 2(1/2)^2

(1/2)^2 = (1/4)

y = 2(1/4)

y = 2x 1/4

y = 2/4

y = 1/2 or 0.5

When x = 2, y= 1/2 or 0.5

The new table becomes

x y

-1 4

0 2

1 1

2 1/2

The slope and y-intercept of the line whose equation is given as y=(-x+3)  is -1 and 3 respectively.

As per the question statement, we are supposed to find the slope and y-intercept of the line whose equation is given as y = -x + 3

We know slope-intercept form of line: y = mx + c, where "m" is the slope of the line and "c" is the y-intercept.

Comparing the given equation with y = mx +c

We get slope, m = -1

and y- intercept, c = 3

Hence, the The slope and y-intercept of the line whose equation is given as y= -x + 3 , is -1 and 3 respectively.

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We can find the discounted price of the tennis racket at Sport City by finding the 100% - 15% = 85% of the total price. We can do this by multiplying the total price by the decimal form of 85%:

then, we have that the price of the racket at Sport City is $153

Doing the same but with the price at Tennis World, we get:

since the price of the tennis racket is $160 at Tennis world, we can clearly see that Sport City offers a better deal (since 153 < 160)

well, she needs to sell $"x", which oddly enough is the 100%.

now, we also know that 7% of "x" is $12900, which is what Tonya takes home.

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} x & 100\\ 12900& 7 \end{array} \implies \cfrac{x}{12900}~~=~~\cfrac{100}{7} \\\\\\ 7x=1290000\implies x=\cfrac{1290000}{7}\implies x\approx 184286[/tex]

So, we have the following function:

To calculate the derivative then, we have to make the following calculation:

So, the result of the equation would be as follows:

The graph of the function would be as follows:

Abdoul, this is the solution to the problem:

Goal of the club : raise at least $ 600

Price of each car : $3

Let c the number of cars that the club has to wash

In consequence, the inequality that represents this situatiion is:

Total money raised ≥ 600

Total money raised = 3c

Thus,

3c ≥ 600

(We use higher and equal symbol because the statement says "at least 600". If the statement would say, "more than 600", we shoould use >)

Answer:

P(perimeter) = 40 cm     A(area) = 41.85 ≈ 41.9 cm

Step-by-step explanation:

To find the perimeter of any shape, you just add the length of the sides together. Therefore, you would add the base, 9 cm, with the sides, 12 and 19 cm. 9 + 12 = 21 + 19 = 40 cm, so the perimeter is 40 cm.

To find the area, you need to use the formula for the area of triangles, which is [tex]\frac{1}{2} bh[/tex], where b = base and h = height. So, you would plug the numbers in to get [tex]\frac{1}{2} (9)(9.3)[/tex]. This equals [tex]\frac{1}{2} (83.7)[/tex], which equals 41.85 cm. Since the question says to round to the nearest hundredth, the final answer would be 41.85 ≈ 41.9 cm.

Check the picture below.

[tex]\textit{vertex of a vertical parabola, using coefficients} \\\\ h(t)=\stackrel{\stackrel{a}{\downarrow }}{-16}t^2\stackrel{\stackrel{b}{\downarrow }}{+56}t\stackrel{\stackrel{c}{\downarrow }}{+0} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right)[/tex]

[tex]\left(-\cfrac{ 56}{2(-16)}~~~~ ,~~~~ 0-\cfrac{ (56)^2}{4(-16)}\right) \implies \left( - \cfrac{ 56 }{ -32 }~~,~~0 - \cfrac{ 3136 }{ -64 } \right) \\\\\\ \left( \cfrac{7}{4}~~,~~49 \right)\implies \stackrel{seconds\qquad feet}{\left(1\frac{3}{4} ~~ ~~,~ ~~ ~49 \right)}[/tex]