Childhood participation in sports, cultural groups, and youth groups appears to be related to improved self-esteem for adolescents (McGee, Williams, Howden-Chapman, Martin, & Kawachi, 2006). In a representative study, a sample of n = 100 adolescents with a history of group participation is given a standardized self-esteem questionnaire. For the general population of adolescents, scores on this questionnaire form a normal distribution with a mean of μ = 50 and a standard deviation of σ = 15. The sample of group-participation adolescents had an average of M = 53. 8.

Does this sample provide enough evidence to conclude that self-esteem scores for these adolescents are significantly different from those of the general population? Use a two-tailed test with α =. 5.

The null hypothesis is H₀: , even group participation.

The standard error is , so z =

(to two decimal places). Using the Distributions tool, the critical value of z =

Answer:

  16°

Step-by-step explanation:

The trig function tangent relates an acute angle of a right triangle to the measures of the adjacent and opposites sides. Those are the sides given here, so the relevant trig relation is ...

  Tan = Opposite/Adjacent

  tan(?) = 14/49 = 2/7

When the tangent of the angle is known, the inverse tangent function can be used to find the angle:

  ? = arctan(2/7) ≈ 16°

The value of "?" is about 16°.

Answer:

[tex]x=\frac{y-b}m[/tex]

Step-by-step explanation:

We subtract b from both sides.

[tex]y-b = mx[/tex]

We divide both sides by m  (as long as [tex]m\ne0[/tex]) and read right to left.

[tex]x= \frac{y-b}m[/tex]

Answer:

[tex]x=\frac{y-b}{m}[/tex]

Step-by-step explanation:

[tex]\mathrm{Switch\:sides}[/tex]

[tex]mx+b=y[/tex]

[tex]\mathrm{Subtract\:}b\mathrm{\:from\:both\:sides}[/tex]

[tex]mx+b-b=y-b[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]mx=y-b[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}m;\quad \:m\ne \:0[/tex]

[tex]\frac{mx}{m}=\frac{y}{m}-\frac{b}{m};\quad \:m\ne \:0[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]x=\frac{y-b}{m};\quad \:m\ne \:0[/tex]

[RevyBreeze]

Answer: The answer is 5

5/1

Step-by-step explanation:

you get the whole number which is 5, turn it into a fraction which is 5/1 and it says 5 students like to sing.

I hope this helped

#5/1 is answer

Step-by-step explanation:

again, 2 unknowns.

x = number of 2- points baskets

y = number of 3- points baskets

we know they hit the basket 37 times in a so far unknown mixture of 2-point and 3- point throws.

x + y = 37

which gives us e.g.

x = 37 - y

and we know that with this unknown mixture they scored 80 points.

so,

2x + 3y = 80

as every successful 2-points throw scores 2 points, and every successful 3-points throw scores 3 points.

so, again our 2 equations :

x = 37 - y

2x + 3y = 80

remember, we prepared the first equation so that it gives us already an identity expressing one variable by the other. and that we use in the second equation :

2×(37 - y) + 3y = 80

74 - 2y + 3y = 80

74 + y = 80

y = 6

and from

x = 37 - y

we get

x = 37 - 6 = 31

so, they had 31 2-points throws and 6 3-points throws.

Answer:

A = P (1 + i)^n      A is the final amount

                            P is the initial amount

                            i = interest / period

                            n = number of periods

A = 315 * (1 + .015)^1.5 = 322.11

Answer:

i THINK its 18.75% per year

Step-by-step explanation:

r = (1/8)((3,000/1200) - 1 ) = 0.1875

r = 0.1875 * 100 = 18.75

(dont take my word tho, u should double check yourself)

The sum of all the angles of a triangle is equal to 180°. The value of x is 12.

The sum of all the angles of a triangle is equal to 180°.

The Exterior Angle is the angle formed by either of a shape's sides and a line drawn from the opposite side.

We know that in a triangle the sum of the exterior angle and the interior angle is 180°. Therefore, the following angles of the triangle can be written as,

[tex]\angle H=180-(9x+6)[/tex]

[tex]\angle G=180-(10x-1)[/tex]

[tex]\angle J=180-(10x+7)[/tex]

Now, the sum of all the angles of the triangle is 180°, therefore, the sum can be written as,

[tex]\angle H+\angle G+\angle J=180^o\\\\180-(9x+6) + 180-(10x-1) + 180-(10x+7) = 180\\\\540-(9x+6)-(10x-1)-(10x+7)=180\\\\540-180 = (9x+6)+(10x-1)+(10x+7)\\\\360=9x+6+10x-1+10x+7\\\\360=29x+12\\\\360-12=27x\\\\x = 12[/tex]

Hence, the value of x is 12.

Learn more about Exterior Angle:

https://brainly.com/question/2125016

Answer:

12

Step-by-step explanation:

Answer:

[tex]\textsf{area of a sector}=\dfrac{\theta\pi r^2}{360\textdegree} \mathsf{\ \ (where\ \theta \ is\ in\ degrees)}[/tex]

Given:

[tex]\implies \textsf{area}=\dfrac{60\textdegree \times\pi \times 6^2}{360\textdegree}[/tex]

[tex]\implies \textsf{area}=\dfrac{2160\pi}{360}[/tex]

[tex]\implies \textsf{area}=6\pi \textsf{ cm}^2[/tex]

[tex]\implies \textsf{area}=18.85\textsf{ cm}^2 \textsf{ (nearest hundredth)}[/tex]

The degree of the polynomial function f is the number of zeros function f has.

The remaining zeros of the polynomial function are -i, 4 + i and 2 - i

The degrees of the polynomial is given as;

Degree = 6

The zeros are given as:

i, 4-i,2+i

The above numbers are complex numbers.

This means that, their conjugates are also zeros of the polynomial

Their conjugates are -i, 4 + i and 2 - i

Hence, the remaining zeros of the polynomial function are -i, 4 + i and 2 - i

Read more about polynomials at:

https://brainly.com/question/4142886

Answer:

[tex]=\frac{49}{9}[/tex]

Step-by-step explanation:

Given the following question:

[tex]5\frac{4}{9}[/tex]

In order to convert a mixed number into an improper fraction, you have to multiply the denominator by the whole number (in this case; 9 and 5) and then add the numerator (in this case; 4) to receive your answer. Of course, keeping the denominator the same.

[tex]5\frac{4}{9}[/tex]
[tex]5\frac{4}{9}=9\times5=45+4=49=\frac{49}{9}[/tex]
[tex]=\frac{49}{9}[/tex]

Hope this helps.

The improper fraction for the given mixed fraction is 49/9.

The given fraction is [tex]5\frac{4}{9}[/tex].

These are just improper fractions written as a sum of whole number and a proper fraction. (improper fraction has the upper value(also called numerator) bigger or equal to denominator(the bottom value) and proper fraction has numerator value is less than that of the denominator)

They are written and can be converted to fraction as [tex]a\frac{b}{c}=\frac{(a\times c)+b}{c}[/tex]

Now, [tex]5\frac{4}{9}=\frac{(5\times9)+4}{9}[/tex]

= (45+4)/9

= 49/9

Therefore, the improper fraction for the given mixed fraction is 49/9.

Learn more about mixed fractions here:

brainly.com/question/886123.

#SPJ6

Your second last answer is right mark me Brainlist as you say : )

Answer:

24

Step-by-step explanation:

There 3 cake flavor choices.

There are 2 frosting choices.

There are 4 size options.

Multiply to find the total number of choices.

3×2×4

= 24 different cakes can be made with these choices.

Answer:

Because its a isoceles triangle

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

  1400 cm²

Step-by-step explanation:

The ratio of volumes of similar figures is the cube of the scale factor. Here, that is 3125/675 = sf³. That means the scale factor is ∛(3125/675) = 5/3.

The ratio of areas of similar figures is the square of the scale factor. Here, that is (5/3)² = 25/9.

The area of the larger pyramid is 25/9 times the area of the smaller one:

  A = (25/9) × 504 cm² = 1400 cm²

The surface area of pyramid 2 is 1400 cm².

_____

Additional comment

You don't need to find the scale factor. You can jump directly to the fact that the surface area multiplier is the 2/3 power of the volume ratio.

Answer:

The degree of a polynomial is the largest exponent on one of its variables (for a single variable), or the largest sum of exponents on variables in a single term (for multiple variables).

Step-by-step explanation:

ere, the term with the largest exponent is , so the degree of the whole polynomial is 6.

Answer:

200mm^2 is the area of shadded region

The dimensions of the rectangular storage room are length = 15 ft and width = 13 ft

Let the

Givent hat its length is 2 feet longer than its width, we have that

L = W + 2

The area of the room is a rectangle A = LW where

Since the area of the room A= 195 ft², we have that

A = LW

LW = 195

Substituting the value of L into the equation, we have

LW = 195

(W + 2)W = 195

W² + 2W = 195

W² + 2W - 195 = 0

W² + 15W - 13W - 195 = 0

W(W + 15) - 13(W + 15) = 0

(W + 15)(W - 13) = 0

W + 15 = 0 or W - 13 = 0

W = -15 or W = 13.

Since W cannot be negative, W = 13 ft

Since L = W + 2

Substituting W into the equation, we have

L = 13 + 2

L = 15 ft

So, the dimensions of the rectangular storage room are length = 15 ft and width = 13 ft

Learn ore about dimensions of rectangle here:

https://brainly.com/question/25855344

Answer: Choice A

Step-by-step explanation:

4.2 is biggest 4.2 is bigger than 4.18

20 > 18

20 > 9 so other one is smaller too

Step-by-step explanation:

this is one of the formulas you should remember for life :

the general solution for a quadratic equation

ax² + bx + c = 0

is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case that is

x = (-4 ± sqrt(4² - 4×1×-1))/(2×1) = (-4 ± sqrt(16 + 4))/2 =

= (-4 ± sqrt(20))/2 = (-4 ± sqrt(4×5))/2 =

= (-4 ± 2×sqrt(5))/2 = -2 ± sqrt(5)

x1 = -2 + sqrt(5) = 0.236067977...

x2 = -2 - sqrt(5) = -4.236067977...

so, the negative solution is the x2 solution :

-4.236067977...

I don't know to how many decimal positions you are supposed to round. it is not specified in your problem definition.

Answer:

13 years the value of the car is 7700 dollars.

Step-by-step explanation:

Your search - { Present Volue = initial value (1-7.5%) t t is the years

∴7700 = 22300 (1-7,5%)^t

= $10.925 ) t = [tex]\frac{7700}{23300}[/tex] = 0.345    t=13

Supplement:

I year.

P value = 22300- 22300.7.5%

2 years

p value = (122300 - 22300. 7.5% ) - (22300-223107.5%)

             = (22300 - 12300.7.5% ) (1-7.5%)

              = 22300 (1-7.5%)(1-7.5%).

so t years :

p value = 22300 (1-7.5%)^t

The fraction of time that Snowy slopes get 12 inches of snow or less is: 50% (1/2).

In a box plot, the distribution of a data set is displayed showing data points that lie between 25% (1/4), 50% (1/2), and 75% (3/4) of the data set.

50% is indicated by the vertical line that divides the rectangular box in the box plot.

Snowy slopes that get 12 inches of snow or less lie at 50%, which is 1/2 of the time.

Therefore, the fraction of time that Snowy slopes get 12 inches of snow or less is: 50% (1/2).

Learn more about box plot on:

https://brainly.com/question/3209282

1/2 ; got it right on IXL

Answer:

1) The error is 3x² - 3x - 18 = 3(x² - 3x - 18)

The 3 needs to be factorised out of each term in the brackets not just 3x² → the correction is 3x² - 3x - 18 = 3(x² - x - 6) → 3(x - 3)(x + 2)

2) The 5 and 1 are written in the wrong brackets; it should be (10x - 1)(x + 5)

Hope this helps!

Answer: It's the third one / C

Step-by-step explanation:

Answer:

1). Flooding

2). A farming method of the Maya was Slash and Burn

3). Japan

4.)C) Incas Indians

Step-by-step explanation:

Hope this helps

Answer:

A. 1/3 (3/2 x -1) = -1/2

Step-by-step explanation:

Step by step is in the document.

hope that helps