There is a study on exercise and health: a group of women who have been exercising regularly for 5 years are grouped and given a wellness exam and compared to a group of women who have not exercised in the past five years. What kind of data collection is this?


Experiment

Survey

Simulation

Observational Study

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Answer:

  a) $7715.10

  b) $6022.02

  c) 15263.10

Step-by-step explanation:

A calculator or spreadsheet can evaluate the formulas for you using the given parameters.

The compound interest formula is ...

  A = P(1 +r/n)^(nt)

where P is the principal amount, r is the annual rate, n is the number of times interest is compounded per year, and t is the number of years.

The continuously compounded interest formula is ...

  A = Pe^(rt) . . . . where P, r, t are defined as above

Often the function e^x is defined as the exp(x) function.

__

A calculator or spreadsheet can perform rounding for you, but we elected not to confuse the issue with that step. The calculator results below are rounded in the answer list above.

For part (a), we have ignored the fact that 7 years will have an additional week, since there are 1 or 2 extra days (beyond 52 weeks) in each year. Taking that into account adds a penny to the account balance.

The extra day in a leap year affects the account balance in the 8th significant figure. Our balance has only 6 significant figures, so we do not need to be concerned with the effect of a possible leap year in the 3-year period of part (b).

Answer:

C

Step-by-step explanation:

Mean is calculated as

mean = [tex]\frac{sum}{count}[/tex] , then

[tex]\frac{sum}{40}[/tex] = 70 ( multiply both sides by 40 )

sum = 40 × 70 = 2800 → C

Answer:

D

Step-by-step explanation:

We want to find the difference between the two polynomials:

[tex](5x^3+4x^2)-(6x^2-2x-9)[/tex]

Distribute the negative:

[tex]=(5x^3+4x^2)+(-6x^2+2x+9)[/tex]

Rearrange the terms:

[tex]=(5x^3)+(4x^2-6x^2)+(2x)+(9)[/tex]

Combine like terms. Hence:

[tex]=5x^3-2x^2+2x+9[/tex]

Our answer is D.

9514 1404 393

Answer:

  D

Step-by-step explanation:

The left portion of the curve is defined for x < 1, except x=0. The right portion of the curve is defined for x ≥ 1. The only answer choice with these domain segments is the last one.

Step-by-step explanation:

help me you nedd to add position

Answer:

29/35

Step-by-step explanation:

Least common denominator of 5 and 7 is 35

[tex]\frac{2}{5}=\frac{2*7}{5*7}=\frac{14}{35}\\\\\frac{3}{7}=\frac{3*5}{7*5}=\frac{15}{35}\\\\\frac{2}{5}+\frac{3}{7}=\frac{14}{35}+\frac{15}{35}\\\\ \ = \frac{14+15}{35}\\\\ = \frac{29}{35}[/tex]

The coordinate of K on the line segment JL is (4,5).

When a point divides a line segment externally or internally in some ratio, we use section formula to find the coordinates of that point.

[tex]P(x, y) = (\frac{mx_{2} +nx_{1} }{m+n} ,\frac{my_{2}+ny_{1} }{m+n})[/tex]

Where,

(x, y) are the coordinates of point P.

[tex](x_{1},y_{1} )[/tex] are the coordinates of point A.

[tex](x_{2},y_{2})[/tex] are the coordinates of point B.

m and n are the ratio values in which P divides the line segment AB internally.

According to the given question.

Coordinates of points J and L are (4, 2) and (4, 6) respectively.

K divides the line segment JL in the ration 3:1.

Therefore, the coordinates of K by section formula is given by

[tex]K(x, y) = (\frac{3(4)+1(4)}{3+1} , \frac{3(6)+1(2)}{3+1} )[/tex]

⇒ [tex]K(x, y) = (\frac{12+4}{4} , \frac{18 + 2}{4} )[/tex]

⇒ [tex]K(x, y) = (\frac{16}{4} ,\frac{20}{4})[/tex]

⇒[tex]K(x, y) = ( 4, 5)[/tex]

Hence, the coordinate of K on the line segment JL is (4,5).

Find out more information about section formula here:

https://brainly.com/question/20320420

#SPJ2

Answer:

77,786.251

Step-by-step explanation:

Answer:

-x^2+3x-2

Step-by-step explanation:

I think one of the signs are wrong in the equation.

Answer:

5

Step-by-step explanation:

2/5 pickled peppers means that there are 2 pickled peppers out of 5 total peppers.

33+n

Hope it helps you...

Answer:

C

Step-by-step explanation:

The pattern seems to go as follows:

1. Top left portion is in blue

2. Top left portion is in blue as well as the rest of the upper half filled with red.

3. Another portion of blue is added directly underneath the red.

This leads me to believe that the colors are alternating from blue to red to blue to finally, red. This makes your answer C. Please let me know if you still need help!

Answer

No solution

Step-by-step explanation:

4y + 2x = 18

3x + 6y = 26

You need either the x's or the y's to have the same coefficients.

let's line things up first.

4y + 2x = 18   (multiply by 3)

6y + 3x = 26  (multiply by 2)

to keep numbers relatively small we will multiply the top equation by 3 and the bottom equation by 2. Multiply all terms. This will make the coefficients equal.

12y + 6x = 54

12y + 6x = 52

So, if you subtract them from each other you get :

0 = 2

When this happens the solution set is : no solution

Answer:

Impossible

Step-by-step explanation:

Ok, so we first rearrange for convenience:

2x+4y=18

3x+6y=26

We multiply the two equations to eliminate x:

2x+4y=18 * -3

3x+6y=26 * 2

So:

-6x-12y=-54

6x+12y=52

And now we add the two equations:

0+0= -2

Try multiplying the two equations by any other number which will lead to them cancelling, (eg. -9, 6), still the equation will not work.

Answer:

9ft =2.743m

kjhgfdfvhhgddfcvh

Answer:

See attachment for the translated kite

Step-by-step explanation:

Given

The attached image of BCDE

Required

Translate 5 units down

From the attachment;

[tex]B = (-7,0)[/tex]

[tex]C = (0,5)[/tex]

[tex]D =(-7,10)[/tex]

[tex]E = (-10,5)[/tex]

The rule to translate 5 units down is:

[tex](x,y) \to (x,y-5)[/tex]

So:

[tex]B' = (-7,-5)[/tex]

[tex]C' = (0,0)[/tex]

[tex]D' = (-7,5)[/tex]

[tex]E' = (-10,0)[/tex]

See attachment for the translated kite

Answer:

A

Step-by-step explanation:

I will edit and add my explanation

The 3 and 2 are both positive if the information that was given in the screenshot is standalone.

So if the numerals are both positive, they must be traveling to the right because the number line is increasing towards the right.

We can narrow the choices down to A and C because they both move right.

Since neither of the numbers are negative, it must start from the center 0 and increase, so it must be A.

3 * 2 is also 6, so it must end on 6.

Answer:

[tex]{ \bf{area = \pi {r}^{2} }} \\ { \tt{ = 3.14 \times {( {8.1}) }^{2} }} \\ = { \tt{206.1 \: {cm}^{2} }}[/tex]

Answer:

( - infinity, -3 ] [ -2, infinity )

square bracket means it includes the end point.

Step-by-step explanation:

(-∞, -3]U [-2,∞)

Answer:

AA

Step-by-step explanation:

HL = requires actual measurements of sides

LL = There are no measurements for the legs

HL = There are no measurements for the legs or hypotenuse

HA = Doesn't exist

Answer:

a)  P  ( - 1.96  < Z < 1.96 )

b) P  ( - 2.58 < Z < 2.58)

c) P (  -0.995  < Z < 0.995 )

d) P  ( - z  <  Z  < z )     =  P ( ( Z ± 3σ )   then that is close to 1

Step-by-step explanation:

a)  P  ( - z  <  Z  < z )     =   P  ( - 1.96  < Z < 1.96 )

CI = 95 %   significance level  α  = 5 %   α  = 0.05    α/2 = 0.025

z = 1.96

b)  P  ( - z  <  Z  < z )     =   P  ( - 2.58 < Z < 2.58)

CI = 99 %   significance level  α  = 1 %   α  = 0.01    α/2 = 0.005

z = 2.58

c) P  ( - z  <  Z  < z )     =   P (  -0.995  < Z < 0.995 )

CI = 68 %   significance level  α  = 32 %   α  = 0.32    α/2 = 0.16

z ≈ 0.9954

We interpolate in this case

1             ⇒  0.1587

0.99      ⇒  0.1611

0.01    ⇒   0.0024        

 x       ⇒    0.0013       x  =  0.01 *0.0013  /  0.0024  

x =  0.005416

and    z =  0.99 + 0.005416

z = 0.9954

d) P  ( - z  <  Z  < z )     =   P (  - 0.00 < Z < 0. 00)

CI = 0.9973 %   significance level  α  = 0.0027 %   α  = 0.000027             α/2 = 0.0000135

z = 0.00003375     ⇒ z = 0.00

NOTE: The value of α  is too small. The Empirical Rule establishes that 99.7 % of all values in a normal distribution fall in the interval ( Z ± 3σ)

that means all the values. Then the probability of finding the random variable between that range is close to 1 and we can not find in tables a number to approximate just with only two decimal places

Answer:

D

Step-by-step explanation:

(f-g)(x) = f(x) - g(x)

=3x^3+8x^2-7x-4-(2x-6)

=3x^3+8x^2-9x+2

Answer: hello the exercise is missing from your question below is the missing exercise for reference

answer:

0.1745

Step-by-step explanation:

Determine  P ( Y > 3 )

Given that y follows Poisson distribution with mean

P( Y = y ) = [tex]\frac{e^{-1} }{y!}[/tex]

assuming that yi represents number of autos that will enter the tunnel and

also let A represent Y > 3 at one of the ten two-minute interval

step 1 : hence finding  P(A )

= P(Y > 3 ) = 1 - P( Y≤ 3 )

= 1 - [ [tex][\frac{e^{-1} }{0!} +\frac{e^{-1} }{1!} +\frac{e^{-1} }{2!} +\frac{e^{-1} }{3!} ][/tex]

= 0.018988

since the ten observations are independent

P(X≥ 1 ) = 1 - P( X = 0 )

            = 1 -  [tex]\left[\begin{array}{ccc}10\\0\\\end{array}\right][/tex]  * (0.018988)^0 ( 1 - 0.018988)^10-0

            = 1 - 0.8255 = 0.1745

Answer:

Hello There!!

Step-by-step explanation:

Firstly, find out how many students there are in 7 batches. You can do this by timesing 48 by 7 to get 336. So there are 336 students in 7 batches. Each student does 24 hours of community service in a year so do 336 times by 24 which is 8,064. Therefore,the college contributes 8,064 hours of community service in a year.

hope this helps,have a great day!!

~Pinky~

Answer:

Step-by-step explanation:

..........................

Answer:

This Symbol has 4 lines of Symmetry

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Answer:

  (a)  -1215/32

Step-by-step explanation:

The sequence is apparently geometric. The common ratio is ...

  (-135/2)/90 = -135/180 = -3/4

Then the next term is ...

  (405/8)(-3/4) = -1215/32

Answer:

abcdefg omlllfffg

Step-by-step explanation: