Advertisements for the Sylph Physical Fitness Center claim that completion of their course will result in a loss of weight (measured in pounds). A random sample of 8 recent students revealed the following body weights before and after completion of SPF course.
Student 1 2 3 4 5 6 7 8
Before 155 228 141 162 211 185 164 172
After 154 207 147 157 196 180 150 165
The above data summarizes to the following (Note that "Difference = Before - After").
Mean Std Dev
Before 177.25 29.325
After 169.50 22.431
Difference 7.75 8.598
Construct a 90% confidence interval for the mean weight loss for the population represented by this sample assuming that the differences are coming from a normally distributed population.

Answers

Answer 1

Answer:

90% confidence interval for the mean weight loss for the population represented by this sample assuming that the differences are coming from a normally distributed population is [1.989 ,13.5105]

Step-by-step explanation:

The data given is

                        Mean                 Std Dev

Before            177.25                29.325

After              169.50                    22.431

Difference        7.75                    8.598

Hence d`=   7.75 and sd=   8.598

The 90% confidence interval for the difference in means for the paired observation is given by

d` ± t∝/2(n-1) *sd/√n

Here  t∝/2(n-1)=1.895  where n-1= 8-1= 7 d.f

and  ∝/2= 0.1/2=0.05

Putting the values

d` ± t∝/2(n-1) *sd/√n

7.75  ±1.895 *  8.598 /√8

 7.75  ± 5.7605

1.989 ,13.5105

90% confidence interval for the mean weight loss for the population represented by this sample assuming that the differences are coming from a normally distributed population is [1.989 ,13.5105]


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Kyle volunteered 5.5 hours at the library this week. He needs to volunteer a total of 12 hours. Which equation can be used to find the number of hours, h, Kyle still needs to volunteer this week?​

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Determine whether the following statement is always, sometimes, or never true.

If two pairs of corresponding sides of two right triangles are congruent, then the triangles are
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Answer:

this statement is true because then the triangles will be congruent by rhs axiom

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Answer:

-19

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Step-by-step explanation:

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Answer:

a) G

b) C

Step-by-step explanation:

Triangle A is congruent to triangle G

Triangle D is congruent to Triangle C

jada makes sparkiling juice by mixing 2 cups of sparkiling water with every 3 cups of aplle juice.

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Answers

Answer:

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Step-by-step explanation:

we can set up a proportion of cups of water over cups of apple juice

2/3 = w/15

if you cross-multiply you will get:

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Sangay runs 2/3 hours each day. how many hours does he run in two weeks?​

Answers

Answer:

Step-by-step explanation:

2/3 x 14 = 28/3 = 9 1/3 hours in two weeks

What are the coordinates of the vertex of the graph of y = x2 + 8x + 1?

Answers

Answer:

y= x2 + 8x - 1 is y=(x+4) 2-17

Step-by-step explanation:

First find  - b/2 = - 4, so  -4 will be added to x inside the parenthesis.

Next , find c - b2 to find the value you added at the end

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jessica has at least 20 pairs of shoes in her closet

Answers

What’s the question

The mass of a dime is about 0.002268 kg. Which is the best estimate of the mass?
A 2 x 10-3
B 2 x 10-2
C 2 x 102
D 2 x 103

Answers

Answer:

A.

[tex] = > \: 2 \times {10}^{ - 3} [/tex]

what digit could be in the ten millions place of a number that is greater than 70,000,000 but less than 100,000,000

Answers

Answer:

hiiiiiiiiiiiiiiiiiiiiiiiiiiii bro

someone please help me answer this

Answers

Answer:

77.91 units²

or

77.91 square units

Step-by-step explanation:

the area of a circle is A=pi*r²

since we only need a certain fraction, we will multiply it with 62/360

62° is the given angle. 360° would be the full circle

A = pi * 12² * 62/360

note that the answer is in square units, bc in "r²" the units themselves get squared, even tough we don't know if its inch or kilometers, its definitely squared

Terri wants to know the value of n in the equation 7.638xn=763.8 what value for n makes the equation true?

Answers

Answer: 100

Step-by-step explanation:

Since we are given the equation 7.638 × n = 763.8 and told that Terri wants to know the value of n in the equation that will make it true. To do this goes thus:

7.638 × n = 763.8

7.638n = 763.8

Divide both side by 7.638

7.638n/7.638 = 763.8/7.638

n = 100

Therefore, n = 100 will make the equation true.

Let V1=(1,2,-5)^T v2=((2,5,6)^T and b=(7,4,-3)^T cn be expressed as a linear combination of V1 and V2?

Answers

I assume the question is whether the vector b is a linear combination of v₁ and v₂. If it is, then that means there are scalars c₁ and c₂ such that

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but substituting this into any two equations in the system gives contradictory results. For instance,

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This means that b is not a linear combination of v₁ and v₂.

Choose the graphs that indicate equations with no solution

Answers

Answer:

A and E

Step-by-step explanation:

Given

Graphs A to E

Required

Which do not have solutions

When there are no point of intersection between lines and/or curves of a graph, then such graph has no solution.

Using the above description as a yard stick, the first (A) and the last (E) graph have no solution.

\Suppose that a person has an average heart rate of 88.6 beats/min. (Express your answers to problems in this section to the correct number of significant figures and proper units.) (a) How many beats does he or she have in 5.0 y

Answers

Answer:

He or she has 232,840,800 beats in five minutes.

Step-by-step explanation:

This question is solved by proportions.

In this question:

A year has 365 days.

Each day has 24 hours.

Each hour has 60 minutes.

Minutes in five years:

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88.6 beats/min, 2,628,000 minutes. So the number of bears is:

88.6*2628000 = 232,840,800

He or she has 232,840,800 beats in five minutes.

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A. x-3
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C. 5x-1
D. 3-x​

Answers

Answer:

A. x-3

Step-by-step explanation:

f(x)=3x-2 and g(x)=2x+1

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(f-g)(x) = 3x-2  - 2x-1

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If tickets for a concert cost $9 each, how many tickets can you buy if you have $135?
Write an equation and solve by guess-and-check.
9
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135, 15 tickets
a
X
b. 9 + x = 135; 15 tickets
d. 9 - x = 135: 15 tickets

Answers

Answer:

15

Step-by-step explanation:

135 divided by 9 = 15

(Geometry/shapes) Hi, can any expert guide me in solving this problem? or someone who knows this?
Trapezoid and Kites. (picture below)

Answers

69

Step-by-step explanation:

angles 111 and 3 are the same. in a trapezoid bottom base angles are the same and the top base angles are the same. so in order to find angle 2 you must subtract 111 from 180 because the top angles are supplementary to the bottom

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Answer:

The answer will be 69

This is because angle 3 would also be 111

Angles in a quadrilateral add up to 360

So, 360-(111+111)

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Hope this helps!!

My car payment is 312.67. My water bill is 12percent of the car payment. How much is the water bill

Answers

Answer:

275.15

Step-by-step explanation:

312.67 * 12% = 37.52

312.67 - 37.52 = $275.15

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Answers

Answer:

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Answer:

Step-by-step explanation:

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Answers

There should be multiple answers here.

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Or

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Or

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Answers

Are you serious right now?

Answer:

Expiration dates are especially important for medications because they offer the only indication about whether the product is still safe to use. Food items, on the other hand, often look or smell bad when they have passed their "best-buy" dates.

Step-by-step explanation:

When factored completely, the expression 6x3 – 5x2 – 13x + 12 is
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Answers

Answer:

d. (x - 1)(2x + 3)(3x - 4)

Step-by-step explanation:

6x³ - 5x² - 13x + 12

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(x - 1)(6x² + x - 12)

(x - 1)(6x² + 9x - 8x - 12)

(x - 1)(3x(2x + 3) - 4(2x + 3))

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Answer:

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Step-by-step explanation:

Hope this helps!

What is the value of y?

Answers

Answer:

The answer is C (46)

Step-by-step explanation:

Since the measurement of the triangle is 180 then you must subtract 180 by 88 to create 92 and divided that 92 by 2 to get 46.

Find the balance of the account earning interest compound annually.
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Answers

9514 1404 393

Answer:

  $7571.20

Step-by-step explanation:

Each year, the balance is multiplied by 1+4% = 1.04. After 2 years, the balance is ...

  $7000 × 1.04 × 1.04 = $7571.20

_____

Additional comment

The repeated multiplication is usually indicated with an exponent:

  $7000×1.04²

Find the area of the figure shown

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Answers

Answer:

70

Step-by-step explanation:

area = l×w×h

area= l×h

2l×2h

A cylinder has a height of 12 inches and a radius of 1.5 inches. What is its voulme? Round your answer to the nearest tenth. Use 3.14 for TT.

Answers

Answer:

It's volume is of 84.78 cubic inches.

Step-by-step explanation:

Volume of a cylinder:

The volume of a cylinder with radius r and height h is given by:

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

A cylinder has a height of 12 inches and a radius of 1.5 inches.

This means that [tex]h = 12, r = 1.5[/tex]

What is its volume?

[tex]V = \pi r^2h = 3.14(1.5)^2(12) = 84.78[/tex]

It's volume is of 84.78 cubic inches.

Which calculation correctly uses prime factorization to write V48 in simplest form?
A. 48 = V2 -2 -2 -2 - 3 = 2V12
B. 48 = 14 - 12 = 2/12
C. 48 = V2 -2 -2 -2 - 3 = 4V3
D. V48 = 16 - 3 = 4V3​

Answers

Answer:

C

[tex] \sqrt{48} = \sqrt{2 \times 2 \times 2 \times 2 \times 3} \\ = \sqrt{16 \times 3} \\ = 4 \sqrt{3} [/tex]

The prime factorization to write [tex]\sqrt{48}[/tex] in the simplest form as  

48 = V2 -2 -2 -2 - 3 = 4V3

What is Prime Factorization in Math?

Prime factorization of any number indicates to express that number as a product of prime numbers. A prime number exists as a number that has precisely two factors, 1 and the number itself.

We require to express 48 as the product of its prime factors as 48.

= 2 [tex]\times[/tex] 3 [tex]\times[/tex] 2 [tex]\times[/tex] 2 [tex]\times[/tex] 2.

Therefore, [tex]$\sqrt{48}=\sqrt{ (2 \times 2 \times 2 \times 2 \times 2)}[/tex]

[tex]$=4 \sqrt{3}$[/tex]

[tex]$4 \sqrt{3}$[/tex] exists in the lowest radical form.

Therefore, the correct answer is option C. 48 = V2 -2 -2 -2 - 3 = 4V3.

To learn more about Prime Factorization

https://brainly.com/question/24612438

#SPJ2

write the first ten prime numbers in the line. delete 6 digits to get the largest possible number

Answers

9514 1404 393

Answer:

  7317192329

Step-by-step explanation:

The first 10 primes are ...

  2, 3, 5, 7, 11, 13, 17, 19, 23, 29

The number of interest will keep getting larger as long as the first (or next needed) digit keeps getting larger. That is, we want to delete any digit that is not greater than the one previous. Following this rule until we have deleted 6 digits, we find the largest number to be ...

  7317192329

_____

The digits deleted are those in bold in the list of primes.

Answer:

7317192329

Step-by-step explanation:

hope it helps

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