Unnithan, Houser, and Fernhall (2006) were interested in whether playing the game Dance Dance Revolution (DDR) affected the heart rate of overweight and non-overweight adolescents differently. A group of 22 adolescents, 10 classified as overweight and 12 as not overweight played DDR for 12 minutes, during which time the researchers measured each participant's heart rate. Which statistical test should the researchers use to analyze their data?A) independent-samples t testB) dependent-samples t testC) z testD) single-sample t test

Answer: The answer is 207.4 for the interest

Step-by-step explanation:

766.85 - 559.45= 207.4

The answer 207.4 is the amount of interest on Thayne's credit card bill.

We can find this answer by subtracting the amount of charges from the total bill amount.

Total bill amount = $766.85

Amount of charges = $1118.9

Amount of interest = $766.85 - $1118.9 = $207.4

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Answer:

D

Step-by-step explanation:

To match the graphs of cylinders a and b to cylinders P and Q, we need to analyze the relationship between the height of the water and the volume of water in each cylinder.

Cylinder P would correspond to graph b, while Cylinder Q would correspond to graph a.

The reasoning behind this is as follows:

Cylinder P, corresponding to graph b, shows a steeper increase in height with increasing volume. This indicates that the water level rises quickly as more volume is added, suggesting that the cylinder has a smaller cross-sectional area. Since height is directly proportional to volume for a cylinder, a smaller cross-sectional area would result in a higher rise in height for the same volume of water.

Cylinder Q, corresponding to graph a, shows a slower increase in height with increasing volume. This implies that the water level rises more gradually as more volume is added, indicating a larger cross-sectional area. A larger cross-sectional area would result in a smaller increase in height for the same volume of water.

In summary, the steeper graph b matches Cylinder P with a smaller cross-sectional area, while the gentler graph a matches Cylinder Q with a larger cross-sectional area.

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The surface areas are 110 in², 87.6 mm² and 49 m².

Given that are solid figure, we need to find the surface area of them,

1) Triangular prism = perimeter × length + 2 × base area

= (5 + 5 + 6) × 5 + 2(3×5) = 110 in²

2) Triangular pyramid = base area + perimeter × slant height / 2

= 1/2 × 5.2 × 6 + 3 × 6 × 8/2

= 87.6 mm²

3) Cube = 4side²

= 4 × (3 1/2)²

= 4 × 3.5²

= 49 m²

Hence the surface areas are 110 in², 87.6 mm² and 49 m².

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Answer:

Add more info or the rest so I can help u!

Step-by-step explanation:

Answer:

$69,361.23

Step-by-step explanation:

\( A = P(1 + \dfrac{r}{n})^{nt} \)

\( A = 10000(1 + \dfrac{0.09}{2})^{2 \times 22} \)

\(A = 10000(1.045)^{44}\)

\( A = 69361.23 \)

Answer: $69,361.23

Carly gives a piece of candy to 24 classmates.

What is piece ?

The term "piece" is a noun that refers to a separate or individual part or item of something larger. In the context of the previous question, "piece" is used to describe a single portion of a candy bar that has been cut into smaller sections. "Piece" can also refer to a work of art or literature, such as a painting or a story, or to an object that is considered as a whole, such as a puzzle piece or a chess piece. The meaning of "piece" can vary depending on the context in which it is used.

Your reasoning is correct. If Carly has 4 candy bars, and she cuts each candy bar into 6 pieces, then she has a total of 4 x 6 = 24 pieces of candy. Since she gives one piece of candy to each classmate, the number of classmates who receive a piece of candy bar would be equal to the number of pieces of candy.

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Polynomials have the following product: 3x5 + 2x4 + 5x3 + 2x2 - 32x + 14. An algebraic formula with variables is called a polynomial.

A polynomial is a mathematical expression consisting exclusively of additions, subtractions, multiplications, and positive integer powers of variables. It is an expression of coefficients and uncertainty. x2 4x + 7 represents a single indeterminate x polynomial. An expression in mathematics known as a polynomial is made up of variables (also known as indeterminates) and coefficients that can be added, subtracted, multiplied, and raised to negative integer powers of non-variables. A polynomial is an algebraic formula that includes variables and coefficients. Addition, subtraction, multiplication, and non-negative integer exponents are the only operations that can be included in an expression. This type of statement is known as a polynomial.

given

Multiply each combination of terms:

Combine like terms.

3x^5 + 2x^4 + (-7x^3 + 12x^3) + (8x^2 - 6x^2 ) + (-28x - 4x) +14=

3x^5 + 2x^4 + 5x^3 + 2x^2 - 32x + 14.

Polynomials have the following product: 3x5 + 2x4 + 5x3 + 2x2 - 32x + 14. An algebraic formula with variables is called a polynomial.

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Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522

Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.

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Answer:

Step-by-step explanation

1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.

Now let's check if this result is correct:

1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.

So we have shown that each family paid **Rs 13,522** for the trip

Answer:

{7, 9}

(Numbers from 1 to 10 equal to or greater than 7 are 7 and 9)

Step-by-step explanation:

We have to find the set of whole number greater than and equal to 7 from 1 to 10,

Now, From 1 to 10, the odd numbers are, 1,3,5,7,9,

And of these, 7 and 9 are equal to or greater than 7

So, we get the set,

{7, 9}

Answer =6

Step-by-step explanation:

-2 through positive 3, i'm sorry if this is incorrect!

you can start by dividing the total length of the road by the distance that can be repaired per week:

13 km ÷ 3 1/2 km/week = 3.71 weeks

Rounding up, it will take 4 weeks to repair the entire 13 km stretch of road.

Answer:

y = 3x+3

Step-by-step explanation:

Lexie scores 186 points in the game on Tuesday. The z-score when x = 186 is 2.64. The mean is 149.

This z-score tells you that x = 186 is -2.64 standard deviations to the right of the mean.

A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.

Given that,

Lexie averages points per bowling game = 149 points

Lexie a standard deviation of points = 14 points

Suppose Lexie's points per bowling game are normally distributed.

Let X= the number of points per bowling game.

Then X∼N(149,14).

If necessary, round to three decimal places.

Suppose Lexie scores 186 points in the game on Tuesday.

From the question we are told that,

The  mean is μ = 149 points

The standard deviation is σ = 14 points

The  value of x = 186

Generally the z-score is mathematically represented as,

Z = ( x - μ ) / σ

Substituting these values,

Z = \(\frac{186-149}{14}\)

Z = \(\frac{37}{14}\)

Z = 2.64

Therefore,

Lexie scores 186 points in the game on Tuesday. The z-score when x = 186 is 2.64. The mean is 149.

This z-score tells you that x = 186 is -2.64 standard deviations to the  right of the mean.

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Answer:

3. x=110  y=110  t=70

4. a=105  b=105  c=75  d=75  e=105  g=75  f=75

Step-by-step explanation:

71.5 - 28.742 = 42.758

Answer: 42.758

Step-by-step explanation:

Answer:

Step-by-step explanation:

3.65 ⋅ 10 = 36.5

3.65 ⋅ 100 = 365

3.65 ⋅ 1000 = 3,650

3.65 ⋅ 10000 = 36,500

3.65 ⋅ 100000 = 365,000

There are 5 zeroes on the last one.

This means that 100,000 is 10 to the power of 5.

Hope this helps! <3

The slope of the line is 1.

The slope of the line is 1 because the line moves ror goes up from left to right, making it a positive. The line also moves one block over and one block up.

Answer:

1

Step-by-step explanation:

Answer:

The equation that we most use to find how many chocolates Maggie bought would be:
6 x c = how many chocolates Maggie bought


Maggie bought c times as many chocolates as Tanner. This means to find how many chocolates Maggie bought we would multiply the c (Being how many times more chocolates Maggie bought) by 6 to find the number of chocolates Maggie bought`.






For example:
If the question stated Maggie bought 4 times as many chocolates as Tanner, the equation would be; 6 x 4 = how many chocolates Maggie bought. Which would be 24 chocolates.

Step-by-step explanation:

Have a great rest of your day
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The correct answer is A: 600 <= money <= 2822.4.

This represents the range of possible values that Pankaj's accumulated money could fall into, given the specified conditions of the 3% interest rate compounded weekly for a maximum of 2 years. The lower bound, 600, represents the initial deposit amount, while the upper bound, 2822.4, represents the maximum amount of money Pankaj could earn after 2 years, assuming that interest is compounded every week.

Answer:

The job with a salaried position that is paying $25,000

Step-by-step explanation:

The 2nd option would be better because $13 an hour wouldn't be as much if you time it by one day. For example 13x24=$312 for just one day. But if it was more than one day, option 1 would be the best choice.

Answer:

w = ((u-5)/-4) + 1

Step-by-step explanation:

To make w an independent variable, it must be by itself, so we have

u - 5 = -4(w-1)

We divide both sides by -4

(u-5)/-4 = -4(w-1)/-4

(u-5)/-4 = w-1

Now we add 1 to both sides,

(u-5)/-4+1 = w-1+1

((u-5)/-4) + 1 = w

w = ((u-5)/-4) + 1

Answer:

u = -4w + 9.

Step-by-step explanation:

If w is the independent variable, it will be the variable you are changing.

u - 5 = -4(w - 1)

u - 5 = -4w + 4

u = -4w + 9.

Hope this helps!

Substitute sin(x) = tan(t) and cos(x) dx = sec²(t) dt. We want this change of variable to be reversible, so let's assume bot x and t are bounded between 0 and π/2.

Then we have

\(\displaystyle \int \frac{\cos(x)}{\sqrt{1 + \sin^2(x)}} \, dx = \int \frac{\sec^2(t)}{\sqrt{1 + \tan^2(t)}} \, dt\)

Recall the Pythagorean identity,

1 + tan²(t) = sec²(t)

Then

√(1 + tan²(t)) = √(sec²(t)) = sec(t)

and the integral reduces to

\(\displaystyle \int \frac{\sec^2(t)}{\sqrt{1 + \tan^2(t)}} \, dt = \int \frac{\sec^2(t)}{\sec(t)} \, dt = \int \sec(t) \, dt = \ln|\sec(t)+\tan(t)| + C\)

Change the variable back to x, so the antiderivative is

\(\displaystyle \int \frac{\cos(x)}{\sqrt{1 + \sin^2(x)}} \, dx = \ln \left|\sec\left(\tan^{-1}(\sin(x))\right) + \tan\left(\tan^{-1}(\sin(x))\right) \right| + C \)

\(\displaystyle \int \frac{\cos(x)}{\sqrt{1 + \sin^2(x)}} \, dx = \boxed{\ln \left|\sqrt{1+\sin^2(x)} + \sin(x) \right| + C} \)

Answer:

x=-8; y=-7

Step-by-step explanation:

x+1=2x+9

suy ra x=-8

thay x vào y=x+1

suy ra y=-7

The coefficients in the expression "9x - 2 + 16x + 8 - x + 10" are the numerical values that multiply the variables. In this expression, the coefficients are 9, -2, 16, 8, -1, and 10.

So, the expression can be written as:

9x + 16x - x + 10 = 24x + 10

where 9, -2, 16, 8, -1, and 10 are the coefficients of the expression.

Answer:

The coefficients in this expression would be 10, -2, 8, -1, 10, 9, 16

Step-by-step explanation:

a numerical or constant quantity placed before and multiplying the variable in an algebraic expression

Answer:

Average time per day = 1.2 hours per day
Average time per day = 72 minutes per day

Step-by-step explanation:

To find Clarence's average time per day, we need to divide the total time he takes to walk the 15.5 miles by the number of days he walks, which is five.

Let's calculate his average time per day:

Average time per day = Total time / Number of days

Since Clarence takes a total of 6 hours to walk the 15.5 miles, we'll divide 6 by 5 to find his average time per day:

Average time per day = 6 hours / 5

Average time per day = 1.2 hours per day

To convert hours to minutes, we'll multiply the average time per day by 60:

Average time per day = 1.2 hours * 60 minutes

Average time per day = 72 minutes per day

Therefore, Clarence's average time per day is 72 minutes.

Answer:

Step-by-step explanation:

solve x 2x-7/4 = x+3/3

2x-7/4 = x+3/3

2x - x = 1 + 7/4

x = 11/4

Solution:

\( \frac{2x - 7}{4} = \frac{x + 3}{3} \)

Now, multiply 3 with 2x - 7 and 4 with x + 3.

\( = > 3(2x - 7) = 4(x + 3)\)

We multiply both sides.

\( = > 6x - 21 = 4x + 12\)

Now, transpose 4x to the left hand side and -21 to the right hand side.

\( = > 6x - 4x = 12 + 21 \\ \)

Now, do the addition and subtraction.

\( = > 2x = 33\)

Divide both sides by 2.

\( = > \frac{2x}{2} = \frac{33}{2} \\ = > x = 16.5\)

So we are done.

Answer:

x = 16.5

Hope you could understand.

If you have any query, feel free to ask.