Vigorous exercise helps people live several years longer (on average). Whether mild activities like slow walking extend life is not clear. Suppose that the added life expectancy from regular slow walking is just 2 months. A statistical test is more likely to find a significant increase in mean life expectancy if:_______.
A. respondents tell the truth about exercising.
B. the size of the sample doesn't have any effect on the significance of the test.
C. 95% confidence is high enough.
D. it is based on a very large random sample.
E. it is based on a very small random sample.
Hint:Think about the importance of the sample size.

Answer:

x = y = 24.

Step-by-step explanation:

Here we are given a right angled triangle in which one of the angles is 45° . And one of the known side is 24√2 . And we need to find out the value of x and y.

[tex]\qquad\rm\longrightarrow sin45^o =\dfrac{p}{b} [/tex]

Substituting the respective values,

[tex]\qquad\rm\longrightarrow sin45^o =\dfrac{x}{24\sqrt2}[/tex]

Value of sin 45° is 1/√2 . So that,

[tex]\qquad\rm\longrightarrow \dfrac{1}{\sqrt2}=\dfrac{x}{24\sqrt2}[/tex]

Cross multiply ,

[tex]\qquad\rm\longrightarrow x =\dfrac{24\sqrt2}{\sqrt2} [/tex]

Simplify,

[tex]\qquad\rm\longrightarrow \underline{\boxed{\rm \blue{x = 24}}} [/tex]

Again , the third angle will be 45° . we know that the sides opposite to equal angles are equal. Therefore here ,

[tex]\qquad\rm\longrightarrow \underline{\boxed{\blue{\rm y = 24}}}[/tex]

The values of x and y are 24

The triangle is a right angled triangle with an angle measure of 45 degrees.

The above means that:

The values of x and y are equal

So, we have:

[tex]x^2 + y^2 = (24\sqrt 2)^2[/tex]

Evaluate the squares

[tex]x^2 + y^2 = 1152[/tex]

x and y have equal values,

So, we have:

[tex]x^2 + x^2 = 1152\\\\[/tex]

[tex]2x^2 = 1152[/tex]

Divide through by 2

[tex]x^2 = 576[/tex]

Take the square roots of both sides

[tex]x = 24[/tex]

Hence, the values of x and y are 24

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Answer:

1/4x

Step-by-step explanation:

3/8x(1-1/3)

3/8x - 1/8x = 1/4x

I hope that's right.

Answer:

C, D and F

Step-by-step explanation:

volume of a cuboid = W x L x H

(where W = width, L = length and H = height)

Calculate the volume of each of the prisms (cuboids), then compare their volume with the range of 25 - 40 cubic units

Volumes

A:  4 x 4 x 4 = 64 cubic units

B:  3 x 7 x 2 = 42 cubic units

C:  4 x 4 x 2 = 32 cubic units

D:  2 x 6 x 2 = 24 cubic units

E:  3 x 5 x 3 = 45 cubic units

F:  2 x 3 x 6 = 36 cubic units

Therefore, prisms C, D and F have a volume between 25 and 40 cubic units.

Answer:

125

Step-by-step explanation:

if the school gets $20 per wrapping paper sold

then in order to earn 2500 the school must sell 2500/20=125

Answer:

9375

Step-by-step explanation

75/20 = x/2500

20x=187500

20x/20 = 187500/20

x=9375

x = 6

y = -2

(explanation in image)

Answer:

Step-by-step explanation:

[tex]y=mx+b[/tex] is general equation of linear function

We see that graph is decreasing ⇒ m<0

We have dirt (0;-3) ⇒ b=-3

Then let's try find m

look on dirt (-5;0), x=-5, y=0 ⇒

[tex]0=-5m-3\\-5m=3\\\\m=-\dfrac{3}{5}[/tex]

The answer is D

Step-by-step explanation:

y+110=180 (cointerior angle)

y=180-110

y=70

y=z(Alternate angle)

z=70

x=z(corresponding angles)

x=70

Hope this helps.

It can be deduced that the chord of AB will be 16 cm and the chord of CD will be 12 cm.

From the information given, we will use Pythagoras theorem to find half of AB. This will be:

= ✓10² - ✓6²

= ✓64

= 8.

Therefore, AB = 8 × 2 = 16cm

The length of CD will be:

= 10² - ✓8²

= ✓36

= 6

The length of CD = 6 × 2 = 12cm.

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Answer:

2:40

Step-by-step explanation:

Short hand (hours): a little past 2

Long hand (minutes): 40 -- 8*5=40

Answer:

y= -2x+6

Step-by-step explanation:

8x+4y=24     move the 8x to the other side

4y=-8x+24    divide by 4

y=-2x+6

The correct statement about Armando’s use of algebra tiles is some of the products do not show the correct powers of x.

Given

Armando used algebra tiles to represent the product 3x (2x -1 ).

The number or expression results from the multiplication together of two or more numbers or expressions.

The correct way to find the product function is;

[tex]\rm = 3x (2x -1 )\\\\=3x \times 2x - 3x\times 1\\\\= 6x^2-3x[/tex]

Hence, the correct statement about Armando’s use of algebra tiles is some of the products do not show the correct powers of x.

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Answer:

1) 100/2 = 50°.

2) 50°

3) 50°

Reasons: rhombus, perpendicular bisector

- Toodles!~

[tex]\bold{\huge{\pink{\underline{ Solutions}}}}[/tex]

We have,

Rhombus RAMS and Angle SMA = 100°

Therefore,

[tex]\sf{\angle{ AMR = 1/2}}{\sf{\angle{ SMS}}}[/tex]

[tex]\sf{\angle{ AMR = 1/2 × 100 }}[/tex]

[tex]\sf{\angle{ AMR = 50° }}[/tex]

Thus, Angle AMR is 50°

Hence, Option D is correct

We know that,

[tex]\sf{\angle{ AMR = }}{\sf{\angle{ RMS}}}[/tex]

[ Alternative interior angles ]

[tex]\sf{\angle{ RMS = 50° }}[/tex]

Thus, The value of Angle RMS is 50°

Hence, Option B is correct

Here, we have to find the value of mAngleMSA

In ΔCMS,

By using Angle sum property

[tex]\sf{ 50° +}{\sf{\angle{MSC + 90° = 180° }}}[/tex]

[tex]\sf{\angle {MSC = 180° - 140°}}[/tex]

[tex]\sf{\angle{MSC = 40° }}[/tex]

Therefore,

[tex]\sf{m}{\sf{\angle{MSA = 40° }}}[/tex]

Thus, The value of mAngle MSA is 40°

Answer:

I think its an lucky chance for an mod or something to notice you

Step-by-step explanation:

Tank is made like Cylinder

So let's find r

[tex]\\ \tt\hookrightarrow V=\pi r^2h[/tex]

[tex]\\ \tt\hookrightarrow r^2=\dfrac{v}{h\pi}[/tex]

[tex]\\ \tt\hookrightarrow r=\sqrt{\dfrac{v}{3.14h}}[/tex]

The equation to find radius of tank is r = √{(V)/(3.14×h)}

The definition of an equation in algebra is a mathematical statement that proves two mathematical expressions are equal.

Types of Equations:

let r be radius of cylindrical tank

h be height of tank

V be volume of tank

Volume of cylinder is given by:

V = π×r²×h

r = √{(V)/(π×h)}

r = √{(V)/(3.14×h)}

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3/2 ( 4x - 8) +3x = 6x - 12 +3x

= 9x - 12

Answer :y=4   x=2

Step-by-step explanation:

Answer:

the selling price is 21 dollars

Hi there!

Parabola x² = 12y

→ x² = 4ay

→ 4a = 12

→ a = 12÷4

→ a = 3

So, the co-ordinates of the focus is:-

S(0,a)=(0,3)

→ Let AB be the latus rectum of the given parabola.

→ Coordinates of end-points of latus rectum are (-2a,a), (2a,a)

→ Coordinates of A are (-6,3), while B's coordinates are (6,3).

→ ∆OAB are O(0,0), A(-6,3), B(6,3)

Area of ∆OAB is :-

(Solving part attached as image)

=> 18 unit² is the required answer.

Answer:

18 sq. unit

Step-by-step explanation:

Parabola is x²=12y

On comparing it with

→x²=4ay

→4a=12

→a=12/4

→a=3

Finding the value of x.

→x²=12y

→x²=12×3

→x²=36

→x=√36

→x=6

When we have a=3 and x=6

(-x1,a)=(-6,3)

(x1,a)=(6,3)

Let,

(x1,y1)=(0,0)

(x2,y2)=(6,3)

(x3,y3)(-6,3)

Now,

Area=[tex]=\frac{1}{2} *b*h\\\\=\frac{1}{2} [x1(y2-y3)+x2(y3-y1)+x3(y1-y2)\\\\=\frac{1}{2} [0(3-3)+6(3-0)+(-6)(0-3)\\\\=\frac{1}{2} [18+18]\\\\\\=18.sq.units[/tex]

Answer:

x = -6

y = -6

Step-by-step explanation:

Solve using substitution.

Substitute 2x + 6 for y:

4x - 4(2x + 6)=0

Distribute the 4 to each term in the parentheses:

4x - 4(2x) - 4(6) = 0

4x - 8x - 24 = 0

Combine like terms

-4x - 24 = 0

Add 24 to both sides

-4x = 24

Divide both sides by -4

x = -6

Plug -6 back in for x to solve for y:

y = 2x + 6 = 2(-6) + 6 = -12 + 6 = -6

(x, y) = (-6, -6)

Answer:

x= -6 and y= -6

Step-by-step explanation:

Take 4x-4y=0 as eqn 1

and y=2x+6 as eqn 2

Substitute eqn 2 into eqn 1

4x -4(2x+6)=0

4x-8x-24=0

-4x-24=0

Move -24 to the other side

-4x=24

Divide both sides by -4

[tex] \frac{ - 4x}{ - 4} = \frac{24}{ - 4} [/tex]

x= -6

substitute x= -6 in eqn 2

y=2(-6)+6

y= -12+6

y= -6

Answer:

1 km < 3,000 m and 4L = 4,000 mL

Answer:

I think it's y = 1/4+2

Step-by-step explanation:

Answer:

0.85

1.176

Step-by-step explanation:

E = 17/20 D

Let D = 1,

E = 17/20 × 1

E = 17/20 = 0.85

1 dollar = 0.85 Euro

E = 17/20 D

17/20 D = E

D = 20/17 E

Let E = 1,

D = 20/17 × 1

D = 1.176

1 Euro = 1.176 dollar

20 length 2 height. 20 times 2 equals 40 square inches\

Answer:

T=z(0.07)+z

Step-by-step explanation:

Dat right der

Answer: The markup- 122.225%

Revenue/price- 133.33$

Gross profit- 73.33%

Step-by-step explanation:

The gross profit P is the difference between the cost to make a product C and the selling price or revenue R.

P = R - C

To calculate revenue R based on the cost C and the desired gross margin G, where G is in decimal form:

R = C / ( 1 - G)

The gross profit dollars P is the revenue dollars R from the sale times the gross margin G percentage, where G is in decimal form :

P = R * G

The markup percentage M, in decimal form, is gross profit P divided by cost C.

M = P/ C

M * 100 will change the decimal to a percentage.

The selling price of the boots is $93.

Given information:

The Shoe Outlet purchased the boots for $60 and increased their price by 55%

To calculate the selling price of the boots with a 55% mark-up, to add 55% of the original cost to the original cost.

Calculate the mark-up amount as follows:

Mark-up = 55% of $60

Mark-up = 0.55 * $60

Mark-up = $33

Add the mark-up to the original cost to find the selling price as follows:

Selling Price = Original Cost + Mark-up

Selling Price = $60 + $33

Selling Price = $93

So, the selling price of the boots is $93.

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Answer:

D = 18

Step-by-step explanation:

Answer:

Width= 30

Length= 62.5

Step-by-step explanation:

First we simplify the length to width ratio

25/12=

2 1/12 ratio of length to width

width=x

length=2 1/12x

Make the equation for this ratio's perimeter being equal to 185

2(2 1/12x) + 2(x)=185

Solve for x

4 1/6x +2x=185

6 1/6x=185

x=30

Substitute the answer in for x to find the length and width

Width= 30

Length= 2 1/12(30)

Length= 62.5

The word sum for 439 and 514 = 953

Word sum simply means the addition of two or more whole numbers.

This means that to calculate the word sum of 439 and 514, the both given figures are added up together.

Given, 439 plus 514

That is,

439 + 514 = 953

Therefore, the word sum for 439 and 514 = 953

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