A researcher is interested in exploring the relationship between calcium intake and weight loss. Two different groups, each with 25 dieters, are chosen for the study.
Group A is required to follow a specific diet and exercise regimen, and also take a 500-mg supplement of calcium each day.
Group B is required to follow the same diet and exercise regimen, but with no supplemental calcium. After six months on the program, the members of Group A had lost a mean of 12.7 pounds with a standard deviation of 2.2 pounds. The members of Group B had lost a mean of 10.8 pounds with a standard deviation 2.0 pounds during the same time period. Assume that the population variances are not the same.
Create and interpret a 95% confidence interval to estimate the true difference between the mean amounts of weight lost by dieters who supplement with calcium and those who do not.

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Answer:

Step-by-step explanation:

Given expression:

Simplify considering like terms:

The simplified expression is:

Answer:

C

Step-by-step explanation:

i need a points point muna

Answer:

6a+6b=ma

?? Not 100% sure, so have someone else answer please too

Answer:

(-2,5)

Step-by-step explanation:

Answer:

The is answer is 19.1x8.6= 164.26

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\frac{1}{3} * \frac{5}{3} = \frac{1 * 5}{3*3} = \frac{5}{9}[/tex]

The answer is 5/9 as you can see. 5/9 = 20 inches each.

1 yard = 36 inches

(5/9 * 36)  = 5 * 4 = 20 inches.

Answer:

5/9

Step-by-step explanation:

I have a trick id like to teach here. Whenever you have a fraction being divided by a whole number, you can multiply the denominator by the diviser

So what I did was multiply the 3 by the diviser(3) and got 9

This left me with 5/9

===================================================

Explanation:

Highlight the rows that correspond to 6 months and 10 months.

This leads to the two points (6,330) and (10,460).

Apply the slope formula. This is because the slope is the average rate of change.

m = (y2-y1)/(x2-x1)

m = (460-330)/(10-6)

m = 130/4

m = 32.5

This is the average rate of change from month 6 to month 10.

Let A = 32.5 so we can compare it later.

---------------------------

Now let's focus on months 4 and 8

We get the two points (4, 300) and (8, 410)

Use the slope formula again

m = (y2-y1)/(x2-x1)

m = (410-300)/(8-4)

m = 110/4

m = 27.5

Let B = 27.5

--------------------------

For the third answer choice, we have the points (2,240) and (8,410)

Once again, use the slope formula.

m = (y2-y1)/(x2-x1)

m = (410-240)/(8-2)

m = 170/6

m = 28.33 approximately

Let C = 28.33

--------------------------

Lastly for choice D we have the points (4,300) and (10,460)

So,

m = (y2-y1)/(x2-x1)

m = (460-300)/(10-4)

m = 160/6

m = 26.67 approximately

Let D = 26.67

--------------------------

To recap everything, we found these four average rates of change for choices A through D

We see that A is the largest of that group. Therefore, the greatest average rate of change of that group is from month 6 to month 10. This is why choice A is the final answer.

Here we must write and solve a system of equations to find the speed of the boat and the speed of the stream. We will find that the boat's speed is 23km/h and the river's speed is 4km/h.

First, remember the relation:

Distance = Speed*Time.

Now let's define the variables we will be using:

When the boat travels downstream, the total speed of the boat is the speed of the boat plus the speed of the river, and we know that in that case it travels 54km in 2 hours, then:

54km = (B + R)*2h

When the boat travels upstream, we must subtract the speed of the river. In that case, we know that the boat travels 57km in 3 hours, then we have:

57km = (B - R)*3h

Then our system of equations is:

54km = (B + R)*2h

57km = (B - R)*3h

To solve this, first, we need to isolate one of the variables in one of the equations, let's isolate B in the second one:

57km = (B - R)*3h

57km/3h + R = B

19 km/h + R = B

Now we can replace that in the other equation:

54km = (B + R)*2h

54km/2h = B + R

27 km/h = B + R = (19 km/h + R) + R

Now we can solve this for R:

27 km/h = 19km/h + 2*R

27 km/h - 19km/h = 2*R

8 km/h = 2*R

(8km/h)/2 = 4km/h = R

Now that we know the value of R, we can use:

B = 19 km/h + R  = 19 km/h + 4km/h = 23 km/h

So the boat's speed is 23km/h and the river's speed is 4km/h.

If you want to learn more, you can read:

https://brainly.com/question/12895249

Answer:

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Answer:

Negative correlation

Step-by-step explanation:

As TV hours increase, exercise hours decrease.

The answer is A.

A negative x a negative equals a positive so the square root of a negative value cannot be a negative value.

[tex]\huge \rm༆ Answer ༄[/tex]

The value of x is ~

[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]

Let's solve for x ~

I hope it helped ~

[tex]꧁  \:  \large \frak{Eternal \:  Being } \: ꧂[/tex]

The value of x in the given equation is [tex]-\frac{4}{5}[/tex]

From the question,

We are to solve the given equation

The given equation is

[tex]log_{6}(36) = 5x +6[/tex]

This becomes

[tex]log_{6}(6^{2} ) = 5x +6[/tex]

From one of the laws of logarithms, we have that

[tex]log_{x}(x^{2} ) = 2log_{x}(x)[/tex]

and

[tex]log_{x}(x) = 1[/tex]

∴ [tex]log_{6}(6^{2} ) = 5x +6[/tex] becomes

[tex]2log_{6}(6) = 5x +6[/tex]

and

[tex]2(1)= 5x +6[/tex]

[tex]2 = 5x +6[/tex]

Now, subtract 6 from both sides

[tex]2-6 = 5x +6-6[/tex]

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

∴ [tex]x = -\frac{4}{5}[/tex]

Hence, the value of x in the given equation is [tex]-\frac{4}{5}[/tex]

Learn more on solving equations here: https://brainly.com/question/11802986

Answer: HIs income was  $6744.04

Step-by-step explanation: 8798.04 + 3650 - 5700 = 6744.04 Hope this helps!

The taxable income last year is $552.

The interest that is calculated using both the principal and the interest that has accrued during the previous period is called compound interest. It from simdiffers ple interest in that the principal is not taken into account when determining the interest for the subsequent period with simple interest.

We have,

Last year, a part-time housekeeper earned $8798.

He claimed he was exempt, costing $365.

$570.00 is the standard deduction.

Gross income less the standard deduction and all exemptions equals taxable income.

= 8798 - 3650 - 5700

= $-552

The negative sign indicates that he owes no taxes.

learn more about compound interest here:

brainly.com/question/28020457

#SPJ7

Answer:

I'm pretty sure the answer is B, I hope this helps!

Answer:

Yes all of the logs can be used in such a grouping.

We'll have 19 logs in the bottom row (and have 19 rows)

========================================================

Explanation:

Let n be the number of layers. Let T(n) represent how many logs there are total.

This process continues for however long you like. The sequence 1,3,6,10,15 is the set of triangular numbers, since the logs form a triangular or pyramid shape when stacked this way. To get the nth value in the triangular number sequence, use this formula

T(n) = 0.5*n*(n+1)

---------------

For example, let's say we wanted to find how many logs there were in the fifth layer

T(n) = 0.5*n*(n+1)

T(5) = 0.5*5*(5+1)

T(5) = 15

This matches from earlier.

The purpose of bringing in a formula is to see if we can get T(n) = 190 for some integer n.

-------------------

T(n) = 0.5*n*(n+1)

190 = 0.5*n*(n+1)

190*2 = n(n+1)

380 = n^2+n

0 = n^2+n-380

n^2+n-180 = 0

Applying the quadratic formula will lead to the two solutions: n = -20 and n = 19. We ignore the negative value of n as we can't have a negative number of rows. Therefore, n = 19 is the only valid solution here.

If we wanted to stack 190 logs in this triangular pyramid fashion, then we'll need to have 19 rows. The bottom row will have 19 logs.

----------

Check:

1+2+3+4+5+6+7+8+9+10 = 55

11+12+13+14+15+16+17+18+19 = 135

55+135 = 190

Or you could say,

T(n) = 0.5*n*(n+1)

T(19) = 0.5*19*(19+1)

T(19) = 190

Either way, the answer is confirmed.

Answer:

3x - b

3 (-2/15) - 3/10

-6/15 -3/10

-60/150 - 45/150

- 105/150

Here is my solution, I hope it is helpful.

Answer:

x = 15

Step-by-step explanation:

Answer:

  x = 1/3

Step-by-step explanation:

Both bases can be written as powers of 6.

  36^x = (1/6)^(x-1) . . . . . . given

  (6^2)^x = (6^-1)^(x -1) . . . . . bases as powers of 6

  6^(2x) = 6^(-x+1) . . . . . . . . . simplify exponents

  2x = -x +1 . . . . . . . . . . . . . . . .equate exponents of the same base

  3x = 1 . . . . . . . add x

  x = 1/3 . . . . . divide by 3

Answer:

Check step-by-step

Step-by-step explanation:

18 + s = 33 = (15)

27 = 9 • s = (3)

40 - s = 23 = (17)

5 • m = 35 = (7)

18/s = 3 = (6)

m/5 = 10 = (50)

m + 14 = 18 - m= (2)

m + m + 12 = 22 (5)

n + 7 = 18 (11)

n - 9 = 22 (31)

Have A good day! Let me know if this helps!

Answer:

7/8x ≥ 14

Step-by-step explanation:

(sum means addition in case you forgot)

You would start by writing 7/8x + 20 ≥ 34

You would then subtract 20 from both sides to isolate the variable x.

You would then have 7/8x ≥  14

Answer: B. y= -2x+28

Steps:

In the equation, take,"y" as result of the distance of the motorboat from the shore.

Now take the "x" value as the time taken. And hold the unit of x as 12 because you already know that in 12 minutes the motorboat is 4km far from the shore. Then solve the four equations and find out which ones value of,"y" comes 4

After doing all the equations i m pretty sure you will that B. y=  -2x + 28

y= -2 * 12 + 28

y= -24+28

y= 4

Answer:

The answer is B

Step-by-step explanation:

Answer:

$2.72

Step-by-step explanation:

2.74x0.89=2.4475

0.8x0.34=0.272

2.447+0.272=2.719, rounded is 2.72

[tex]a) \\\\\dfrac {2x}{3} =8 \\\\\implies 2x = 8 \times 3 = 24\\\\\implies x = \dfrac{24}2 = 12\\\\b)\\\\\dfrac{3x}2 = 6\\\\\implies 3x = 6\times 2 = 12\\\\\implies x = \dfrac{12}3 =4[/tex]

A) given that in 2019 you were among the 21.11% of the best students in the class, in that year you had the higher percentile ranking, and B) the measure of average that would be the most meaningful is the median.

Given that your class rank in 2018 was 89 out of 360 students, while in 2019 your class rank was 95 out of 450 students, to determine A) in which year did you have the higher percentile ranking, and B) if you had the data on the cumulative GPA of each student at the end of the spring semester in 2018, which measure of average would be the most meaningful - mean, median or mode -, the following calculation should be performed:

Therefore, A) given that in 2019 you were among the 21.11% of the best students in the class, in that year you had the higher percentile ranking, and B) the measure of average that would be the most meaningful is the median.

Learn more about maths in https://brainly.com/question/25748895

Answer:

Concrete can be purchased by the cubic yard. How much will it cost to pour a slab 18 feet by 18 feet by 6 inches for a patio if the concrete costs $42.00 per cubic yard?

Step-by-step explanation:

I HOPE THIS HELPS

Answer:

12.4 ft

Step-by-step explanation:

Everything is done right so far.

Now to calculate the height of the tree, 12tan46, put the equation into a calculator.

Either a graphing calculator (make sure it is in degrees, not radians),

or the one on your phone (turn your phone landscape in the calculator app to get the trig functions.))

12tan46= 12.4 ft

Answer:37.5 hrs

Step-by-step explanation:

15/4 = 3.75

3.75*10=37.5

The answer is 37.5 hours