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:

Step-by-step explanation:

Answer:

Supplementary angles are angles that add up to 180° so they need to add up to 180 degrees.

Step-by-step explanation:

Answer:

There is no error. This is a correct conclusion.

Step-by-step explanation:

If a sequence of rigid transformations

(translations, reflections, and rotations) and dilations can map △DCE onto △ABE, then the figures are similar.

Notice that both triangles are right triangles (at vertices B and C), with line AB and DC being the longer legs.

Therefore, if the triangles are similar, we should be able to map each pair of corresponding points onto each other with rigid transformations and dilations:

   D should be mapped onto A.

   C should be mapped onto B.

   E should be mapped onto itself.

Lennox used a reflection across line BE and a dilation about E to get △DCE as close as possible to △ABE. But still, point D did not map onto point A.

So we can conclude that it's not possible to map △DCE onto △ABE using a sequence of rigid transformations and dilations.

Lennox concluded:

"It's not possible to map △DCE onto △ABE using a sequence of rigid transformations and dilations, so the triangles are not similar."

There is no error. This is a correct conclusion.

Answer:

there is no error

Step-by-step explanation:

I took the quiz on Khan and got it correct!

Answer:

Step-by-step explanation:

I don't say u must have to mark my ans as brainliest but if it has really helped u plz don't forget ro thank me...

There are 41 white marbles in the bag.

Let's assume the number of green marbles is represented by "x". According to the given information, the number of white marbles is 3 less than 4 times the number of green marbles.

Number of white marbles = 4x - 3

The total number of marbles is given as 52, so we can write the equation:

Number of white marbles + Number of green marbles = Total number of marbles

(4x - 3) + x = 52

Combining like terms:

5x - 3 = 52

Adding 3 to both sides:

5x = 55

Dividing both sides by 5:

x = 11

Therefore, the number of green marbles is 11.

To find the number of white marbles:

Number of white marbles = 4x - 3

                       = 4 * 11 - 3

                       = 44 - 3

                       = 41

Hence, there are 41 white marbles.

To know more about marbles, refer here:

https://brainly.com/question/949406

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Answer:

one solution

Step-by-step explanation:

3x - 4y = -35

3x + 4y = 5

6x = -30

x = -5

3(-5) + 4y = 5

-15 + 4y = 5

4y = 20

y = 5

(-5, 5)

The system of equations has one solution (-5.5) which is correct option (A).

The equation is the defined as mathematical statements that have a minimum of two terms containing variables or numbers is equal.

A linear equation is defined as an equation in which the highest power of the independent variable is always one.

Given the system of equations as :

3x - 4y = -35

3x + 4y = 5

Addition the both equations

3x - 4y + 3x + 4y = -35 + 5

6x = -30

Divided by 6 both the sides,

x = -30/6

x = -5

Substitute the value of x =2 in the equation 3x + 4y = 5

So, 3(-5) + 4y = 5

-15 + 4y = 5

4y = 20

Divided by 4 both the sides,

y = 20/4

y = 5

So, It has one solution x = -5 and y = 5

Hence, the system of equations has one solution (-5.5).

Learn more about equation here:

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Answer:

  (x, y) = (4, 0)

Step-by-step explanation:

It looks like you want to solve ...

Adding the two equations gives ...

  2x = 8

  x = 4 . . . . divide by 2

Then ...

  y = 4 - x = 0

The solution is (x, y) = (4, 0).

_____

If you think about what you're seeing when you read the equations, you realize that adding or subtracting y gives the same result. Hence y=0 and x=4.

Answer:

Decimal form: 0.00780379

Step-by-step explanation:

Used a calculator tbh.

Plz click the Thanks button!

<Jayla>

Answer:

n is 41.67 degrees

Step-by-step explanation:

At the intersection point of two lines, there are two angles, a and b. The sum of these two angles is 180.

In this question:

One of the angles is (3n - 28)

The other is 83.

Then

[tex]3n - 28 + 83 = 180[/tex]

[tex]3n + 55 = 180[/tex]

[tex]3n = 180 - 55[/tex]

[tex]3n = 125[/tex]

[tex]n = \frac{125}{3}[/tex]

[tex]n = 41.67[/tex]

Answer:

Step-by-step explanation:

Hi Sorry this took so long!

1. True

A=hbb /2 or Half of Base times Height.

2.False it would be 63

A= b * h

3.True

A=a+b/2 * h

Hope this helps!

Answer:

Mean of original test scores is 88.5

Mean of test scores , with three marks added to each score is 91.5

The mean of the test score with three marks added to each score is higher than the original mean of score is increased by three .

Explanation : hope it works out !!

Answer:

4

Step-by-step explanation:

[tex]256^{0.16}\cdot 256^{0.09}=\\256^{0.16+0.09}=\\256^{0.25}=\sqrt[4]{256}=4[/tex]

Hope this helps!

Answer:

 -41r - 16

Step-by-step explanation:

Step  1  :

Step  2  :

Pulling out like terms :

2.1     Pull out like factors :

  -5r - 2  =   -1 • (5r + 2)

Equation at the end of step  2  :

 -r +  -8 • (5r + 2)

Step  3  :

Step  4  :

Pulling out like terms :

4.1     Pull out like factors :

  -41r - 16  =   -1 • (41r + 16)

Answer:

(a) The mean and standard deviation of X is 2.6 and 1.2 respectively.

(b) The mean and standard deviation of T are 390 and 180 respectively.

(c) The distribution of T is N (390, 180²). The probability that all students’ requests can be accommodated is 0.7291.

Step-by-step explanation:

(a)

The random variable X is defined as the number of tickets requested by a randomly selected graduating student.

The probability distribution of the number of tickets wanted by the students for the graduation ceremony is as follows:

X      P (X)

0      0.05

1       0.15

2      0.25

3      0.25

4      0.30

The formula to compute the mean is:

[tex]\mu=\sum x\cdot P(X)[/tex]

Compute the mean number of tickets requested by a student as follows:

[tex]\mu=\sum x\cdot P(X)\\=(0\times 0.05)+(1\times 0.15)+(2\times 0.25)+(3\times 0.25)+(4\times 0.30)\\=2.6[/tex]

The formula of standard deviation of the number of tickets requested by a student as follows:

[tex]\sigma=\sqrt{E(X^{2})-\mu^{2}}[/tex]

Compute the standard deviation as follows:

[tex]\sigma=\sqrt{E(X^{2})-\mu^{2}}\\=\sqrt{[(0^{2}\times 0.05)+(1^{2}\times 0.15)+(2^{2}\times 0.25)+(3^{2}\times 0.25)+(4^{2}\times 0.30)]-(2.6)^{2}}\\=\sqrt{1.44}\\=1.2[/tex]

Thus, the mean and standard deviation of X is 2.6 and 1.2 respectively.

(b)

The random variable T is defined as the total number of tickets requested by the 150 students graduating this year.

That is, T = 150 X

Compute the mean of T as follows:

[tex]\mu=E(T)\\=E(150\cdot X)\\=150\times E(X)\\=150\times 2.6\\=390[/tex]

Compute the standard deviation of T as follows:

[tex]\sigma=SD(T)\\=SD(150\cdot X)\\=\sqrt{V(150\cdot X)}\\=\sqrt{150^{2}}\times SD(X)\\=150\times 1.2\\=180[/tex]

Thus, the mean and standard deviation of T are 390 and 180 respectively.

(c)

The maximum number of seats at the gym is, 500.

According to the Central Limit Theorem if we have a population with mean μ and standard deviation σ and we take appropriately huge random samples (n ≥ 30) from the population with replacement, then the distribution of the sum of values of X, i.e ∑X, will be approximately normally distributed.  

Here T = total number of seats requested.

Then, the mean of the distribution of the sum of values of X is given by,  

[tex]\mu_{T}=n\times \mu_{X}=390[/tex]  

And the standard deviation of the distribution of the sum of values of X is given by,  

[tex]\sigma_{T}=n\times \sigma_{X}=180[/tex]

So, the distribution of T is N (390, 180²).

Compute the probability that all students’ requests can be accommodated, i.e. less than 500 seats were requested as follows:

[tex]P(T<500)=P(\frac{T-\mu_{T}}{\sigma_{T}}<\frac{500-390}{180})\\=P(Z<0.61)\\=0.72907\\\approx 0.7291[/tex]

Thus, the probability that all students’ requests can be accommodated is 0.7291.

Answer: 1st and 3rd 2nd and fourth hope this helps :3

Step-by-step explanation:

Answer:

Answer shown from explanation

Step-by-step explanation:

Area of trapezium =1/2 * sum of parallel side * height = 1/2. *(6+12) *4= 36sqft

Answer:

A: The expression is a trinomial with a degree of 4.

Step-by-step explanation:

The expression has three parts, so it's a tronomial.

The largest exponent is 4, so it has a degree of 4.  

Answer:

Yea he is right it is a

Step-by-step explanation:

Answer:

A. a one-tailed paired t-test.

Step-by-step explanation:

Answer:

< 12,098

Step-by-step explanation:

Because yes

...........

It is <12,098

One of them is correct

Answer:

[tex] y= 7(x+5)^2 -4[/tex]

The vertex form for a parabola is given by this expression:

[tex] y = a(x-h)^2 +k[/tex]

By direct comparison we see that for this case:

[tex] a = 7, h = -5 and k=-4[/tex]

And we know from the general expression that the vertex is:

[tex] V= (h,k)[/tex]

So then the vertex for this case is:

[tex] V= (-5,-4)[/tex]

Step-by-step explanation:

For this case we have the following function:

[tex] y= 7(x+5)^2 -4[/tex]

And we need to take in count that the vertex form for a parabola is given by this expression:

[tex] y = a(x-h)^2 +k[/tex]

By direct comparison we see that for this case:

[tex] a = 7, h = -5 and k=-4[/tex]

And we know from the general expression that the vertex is:

[tex] V= (h,k)[/tex]

So then the vertex for this case is:

[tex] V= (-5,-4)[/tex]

Answer:

83 posters

Step-by-step explanation:

$1,494/$18 = 83

Answer:

An online movie store made $1,494 on  poster sales last week.

It charged $18 for  each poster.

=> The number of sold posters:

N = 1494/18 = 83

Hope this helps!

:)

Step-by-step explanation:

Random: stated

a) Conditions met Random: stated

Normal: [tex]n_{1} p_{1}=333>10[/tex]

[tex]n_{1}\left(1-p_{1}\right)=2122[/tex]

[tex]n_{2} p_{2}=499>10[/tex]

[tex]n_{2}\left(1-p_{2}\right)=1953[/tex]

Independent: Sample is less than of population.

b) (0.047,0.089) Use 2 -prop interval function of graphing utility

[tex]x_{1}: 333[/tex]

[tex]n_{1}: 2455[/tex]

[tex]x_{2}: 499[/tex]

[tex]n_{2}: 2452[/tex]

[tex]C-[/tex]Level : 0.95

c) The vaccine appears to be effective because we are 95% confident that the proportion of infants without the vaccine who got ear infections was 4.7% to 8.9% more than infants who are vaccinated.

Answer:

The answer is "14.625 ft"

Step-by-step explanation:

In the given question some information is missing that is attachment of file which can be described as follows:

Add products:

[tex]\rightarrow \ (\frac{1}{8})\times 1+(\frac{1}{4})\times 1+(\frac{1}{2})\times 3+(\frac{3}{4})\times8+(1)\times4+1 \frac{3}{8}\times (2)1 \frac{3}{8} \\\\ \rightarrow 11/8\\\\[/tex]

[tex]\rightarrow \frac{1}{8}\times 1+(\frac{1}{4})\times1+(\frac{1}{2})\times3+(\frac{3}{4})\times8+(1)\times4+\frac{11}{8}\times(2)\\\\[/tex]

[tex]\rightarrow (\frac{1}{8})+(\frac{1}{4})+(\frac{3}{2})+(6)+(4)+\frac{11}{4}\\\\\rightarrow (\frac{1+2+12+48+32+22}{8}) \\\\\rightarrow \frac{117}{8} \\\\ \rightarrow 14.625 \ ft \\[/tex]

Answer:

Option C is correct.

Step-by-step explanation:

The area of 1 side of the divider is approximately 8 x 3 = 24 < 25  

Hope this helps!

:)

Answer:

Step-by-step explanation:

Given the length(l), height(h) and width(w) of a rectangular prism.

Surface Area=2(lw+lh+wh)

For a rectangular prism with a height of h yards, a length of 2.6 yards, and a width of 3.5 yards.

Surface Area[tex]=2(2.6*3.5+2.6h+3.5h)[/tex]

[tex]=2(9.1+2.6h+3.5h)\\=18.2+5.2h+7h\\[/tex]

Surface Area= (18.2+12.2h) square yards

If the height, h=4 yards

Then the surface area of the rectangular prism

=18.2+12.2h

=18.2+12.2(4)

=18.2+48.8

=67 square yards

Answer:

M=0

Step-by-step explanation:

Answer:

The minimum number of widgets for the company to earn more than 50 dollars = 104 widgets.

Step-by-step explanation:

Complete Question

Inequality

Imagine the polynomial function shown represents the profits, in y dollars, earned by the production of x widgets.

y = -0.04x² + 40x - 3600

What is the minimum number of widgets for the company to earn more than 50 dollars?

Solution

For the profit to be more than 50

y > 50

-0.04x² + 40x - 3600 > 50

-0.04x² + 40x - 3650 > 0

0.04x² - 40x + 3650 < 0

(x - 898.4) (x - 101.6) < 0

Using the inequality table to obtain the required solution to this inequality

Eqn | x < 101.6 | 101.6 < x < 898.4 | x > 898.4

(x - 898.4) | -ve | - ve | + ve

(x - 101.6) | -ve | + ve | + ve

(x-898.4)(x-101.6) | +ve | - ve | +ve

Hence, the inequality that satisfies the equation of (x - 898.4) (x - 101.6) < 0, that is, negative, is 101.6 < x < 898.4.

And from this range, the minimum number of widgets for the company to earn more than 50 dollars = 102 widgets.

But 102 widgets give a profit of 13 dollars, 103 widgets give a profit of 47 dollars and it is until 104 widgets that the profits exceed 50 dollars truly.

Hope this Helps!!!

Answer:4

Step-by-step explanation:

Step-by-step explanation:

4x - 12 < 16 + 8x

Bringing like terms on one side

-12 - 16 < 8x - 4x

-28 < 4x

-28/4 < x

-7 < x