A weight loss center provided a loss for 72% of its participants. The center's doctor believes this is not a sufficient percentage of people losing weight. She decides to test a new weight loss program on a random sample size of 140 subjects and found weight loss in 78% of the participants. Test an appropriate hypothesis and state your conclusion. Be sure the appropriate assumptions and conditions are satisfied before you proceed.

Answer:

100 cm 3

Step-by-step explanation:

20 x 1 = 20

20 x 5 = 100 cm 3

100 cm 3 is the volume

Answer:

a= 1/(a-5) then a2-1/A2 = 5√29

Step-by-step explanation:

Answer:

The equation to find the circumference is C=2πr. This means you do not need the diameter. However, if you did want to find the diameter, it is 2 times the radius.

Step-by-step explanation:

As per the given question, it is stated that the length of a rectangle is 5 m less than twice the breadth.

Assumption : Let us assume the length as "l" and width as "b". So,

[tex] \twoheadrightarrow \quad\sf{ Length =2(Width)-5} [/tex]

[tex] \twoheadrightarrow \quad\sf{ \ell=(2b-5) \; m} [/tex]

Also, we are given that the perimeter of the rectangle is 50 m. Basically, we need to apply here the formula of perimeter of rectangle which will act as a linear equation here.

[tex]\\ \twoheadrightarrow \quad\sf{ Perimeter_{(Rectangle)} = 2(\ell +b) } \\[/tex]

[tex]\\ \twoheadrightarrow \quad\sf{50= 2(2b-5+b)} \\[/tex]

[tex]\\ \twoheadrightarrow \quad\sf{50= 2(3b-5)} \\[/tex]

[tex]\\ \twoheadrightarrow \quad\sf{50= 6b - 10} \\[/tex]

[tex]\\ \twoheadrightarrow \quad\sf{50+10= 6b} \\[/tex]

[tex]\\ \twoheadrightarrow \quad\sf{60= 6b} \\[/tex]

[tex]\\ \twoheadrightarrow \quad\sf{\cancel{\dfrac{60}{6}}=b} \\[/tex]

[tex]\\ \twoheadrightarrow \quad\underline{\bf{10\; m = Width }} \\[/tex]

Now, finding the length. According to the question,

[tex] \twoheadrightarrow \quad\sf{ \ell=(2b-5) \; m} [/tex]

[tex] \twoheadrightarrow \quad\sf{ \ell=2(10)-5\; m} [/tex]

[tex] \twoheadrightarrow \quad\sf{ \ell=20-5\; m} [/tex]

[tex]\\ \twoheadrightarrow \quad\underline{\bf{15\; m = Length }} \\[/tex]

Therefore, length and breadth of the rectangle is 15 m and 10 m.

Given:

The figures of triangles and their mid segments.

To find:

The values of n.

Solution:

Mid-segment theorem: According to this theorem, mid segment of the triangle is a line segment that bisect the two sides of the triangle and parallel to third side, The measure of mid-segment is half of the parallel side.

11.

It is given that:

Length of mid-segment = n+8

Length of parallel side = 6n

Using mid-segment theorem, we get

[tex]n+8=\dfrac{1}{2}(6n)[/tex]

[tex]n+8=3n[/tex]

[tex]8=3n-n[/tex]

[tex]8=2n[/tex]

Divide both side by 2.

[tex]\dfrac{8}{2}=n[/tex]

[tex]4=n[/tex]

Therefore, the value of n is equal to 4.

12.

It is given that:

Length of mid-segment = 5n

Length of parallel side = 8n+10

Using mid-segment theorem, we get

[tex]5n=\dfrac{1}{2}(8n+10)[/tex]

[tex]5n=4n+5[/tex]

[tex]5n-4n=5[/tex]

[tex]n=5[/tex]

Therefore, the value of n is equal to 5.

Answer:

A) 1227

Step-by-step explanation:

[tex]\frac{12^9}{12^3}=2985984[/tex]

[tex]12^{3}=1728\\and 12^{9}=5159780352[/tex]

Answer:

...

Step-by-step explanation:

bottom left and the square and the parallelogram(top right)

A parallelogram is a rectangle.

Answer:

I think the answers are the bottom two.

Step-by-step explanation:

The first one I believe is a trapezoid, the second is a rhombus .

Sometimes a square is considered a rectangle.

Hope this helped.

Sorry if I am wrong.

Answer:

Imagine there's 100 students in the school. 72 students are taking environmental science. 25 students take both environmental science and geography.

That means of the 72 students taking environmental science, 25 are also taking geography. Thus, the probability that a student is taking geography given than that the student is taking environmental science is 25/72 = 0.347.

Answer:

the second box for y is 9

the third box for x is 2.5

im not sure about the third box for y

Answer:

-8.96

Step-by-step explanation:

so -14/5 is -2.8

and 16/5 is 3.2

so multiple - 2.8×3.2 and you get

-8.96

Answer: 37 donuts

Step-by-step explanation:

coffee for 2,

donuts for 1.5

c = coffee

d = donuts

lets make an equation

c*2 + (80-c)*1.5 = 141.5

from this we get:

c= 43.

if c = 43, then d is 80-43 = 37.

they sold 43 coffees, and 37 donuts.

lets check the math

43*2+37*1.5 = 141.5. math checks out

mark me brainlist

Answer:

c

Step-by-step explanation:

s

Answer:

7

Step-by-step explanation:

To find the maximum number of turning points of any polynomial function, subtract one from the degree.

Since the degree is 8, subtract 1 from this:

8 - 1

= 7

So, the maximum number of turning points is 7.

Answer: 1.18. 18 is repeated.

Explanation is below.

Answer:

427.37 ft2

Step-by-step explanation:

can you see the photo i sent

i hope it can help you

Answer: A Diameter x pi= circumference

Step-by-step explanation:

The circumference of a circle is given as:

= 2πr

where,

π = pi = 3.14

r = radius

Note that diameter = 2 × radius.

Therefore, circumference = 2πr = πd

Therefore, circumference will be pi multiplied by diameter. The correct option is A.

The correct statement is:

A. Diameter x pi = circumference

Step-by-step explanation:

I am not sure what your problem is.

is this one line just a question to you ? is x=6 a solution ?

if that is the case then ... yes, x=6 is a solution to the inequality.

x - 5 < 10

x < 15

so, 6 < 15 is true, therefore, x=6 is a valid solution

Answer:

102

Step-by-step explanation:

Answer:

answer: red flower: 20 blue flower: 5 yellow flower: 2

Step-by-step explanation:

2 + 20 × 5 = 102 so 102 is the answer hope that helps

Answer:

What part do you need help with? Is there a specific problem?

Step-by-step explanation:

Answer:

Applied force

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

Tama poyan

27+27=54

#Keep on Learning

Answer:

11 rabbits

Step-by-step explanation:

11 x 4 = 44

44 + (5 x 2) = 44 + 10 = 54

Answer:

18 seconds

Step-by-step explanation:

Distance between both runners = 450 feets

Bob's speed = 11 ft/s

John's speed = 14 ft/s

Let The time it takes to meet = x

Recall :

Distance = speed * time

Bob's distance + John's distance = 450 feets

11x + 14x = 450

25x = 450

x = 450 / 25

x = 18 seconds

Answer:

n = 118

Step-by-step explanation:

Add 18 to both sides of the equation:

n = 100 + 18n = 100 + 18

Add 100 and 18.

n = 118

John sold 30U

Rick sold 25U

So, Rick sold 5 fewer units than John.

Hope that helps.

Answer:

ok

Step-by-step explanation:

Answer:

1.17279656871

Step-by-step explanation:

Answer:

1.72796569

Step-by-step explanation:

0.4567304 x 2.5678093 = 1.72796569

Answer:

It is not complicated to derive the formula of the surface area of a square pyramid.

Start with a square pyramid as shown below and call the length of the base s and the height of one triangle l



l is the slant height. It is not for no reason this height is called slant height!

The word slant refers also to something that is oblique or bent, or something that is not vertical or straight up. Basically, anything that is not horizontal or vertical!

The area of the square is s2

The area of one triangle is (s × l)/2

Since there are 4 triangles, the area is 4 × (s × l)/2 = 2 × s × l

Therefore, the surface area, call it SA is:

SA = s2  +  2 × s × l :

Example #1:

Find the surface area of a square pyramid with a base length of 5 cm, and a slant height of 10 cm

SA = s2  +  2 × s × l

SA = 52  +  2 × 5 × 10

SA = 25  +  100

SA = 125 cm2

Answer:

10/20 = 5/10, 1/2, 50/100

9/12 = 3/4, 81/108, 90/120

Step-by-step explanation:

Answer:

540°

Step-by-step explanation

From vertex A we can draw two diagonals which separates the pentagon into three triangles. We multiply 3 times 180 degrees to find the sum of all the interior angles of a pentagon, which is 540 degrees.