Answer:
2,400,000
Step-by-step explanation:
Pilates is a popular set of exercises for the treatment of individuals with lower back pain. The method has six basic principles: centering, concentration, control, precision, flow, and breathing. An article reported on an experiment involving 84 subjects with nonspecific low back pain. The participants were randomly divided into two groups of equal size. The first group received just educational materials, whereas the second group participated in 6 weeks of Pilates exercises. The sample mean level of pain (on a scale from 0 to 10) for the control group at a 6-week follow-up was 5.2 and the sample mean for the treatment group was 3.2; both sample standard deviations were 2.3.
a. Does it appear that true average pain level for the control condition exceeds that for the treatment condition? Carry out a test of hypotheses using a significance level of .01 (the cited article reported statistical significance at this α, and a sample mean difference of 2.1 also suggests practical significance).
b. Does it appear that true average pain level for the control condition exceeds that for the treatment condition by more than 1? Carry out a test of appropriate hypotheses.
Answer:
a) We reject H₀ We find difference between the mean of the two groups
b) we accept H₀ : There is no statistical difference ( in the scale of pain) when the difference in samples means is 1
Step-by-step explanation:
Group 1: Only with educational material
Sample size n₁ = 42
Sample mean x₁ = 3,2
Sample standard deviation s₁ = 2,3
Group 2: With exercises with the treatment of individuals
Sample size n₂ = 42
Sample mean x₂ = 5,2
Sample standard deviation s₂ = 2,3
Test Hypothesis
Null Hypothesis H₀ x₂ - x₁ = 0 or x₁ = x₂
Alternative Hypothesis Hₐ x₂ - x ₁ > 0 or x₂ > x₁
Significance level α = 0,01
Sample sizes are n₁ = n₂ > 30
We use z-test
for α = 0,01 z(c) ≈ 2,32
To calculate z(s)
z(s) = ( x₂ - x₁ ) / √ (2,3)²/42 + (2,3)²/42
z(s) = ( 5,2 - 3,2 )/ √0,2519
z(s) = 2 / 0,5
z(s) = 4
Comparing z(s) and z(c)
z(s) > z(c)
z(s) is in the rejection region. We reject H₀ the true average pain level for the control condition exceeds that for the treatment condition.
b) Does the true average pain level for the control condition exceed that for the treatment condition by more than 1.
In this case
z( s) = x₂ - x₁ / 0,5
z(s) = 1 /0,5
z(s) = 2
Comparing z(s) and z(c) now
z(s) < z(c) 2 < 2,32
And z(s) is in the acceptance region ( for the same significance level) and we should accept H₀ equivalent to say that the two groups statistical have the same mean
6 cm
4 cm
2 cm
3 cm
What is the area of the polygon?
Answer:
36 cm^2 is the area
Explanation -->
- first, separate the polygon into two separate ones, horizontally, to make two rectangles
- NOTE : Area = length x width
- 6 times 4 = 24
- 4 times 3 = 12 (self-explanatory, you get 4 by subtracting 6 and 2, as you can see)
- 24 + 12 = 36
-- You get 36 cm^2 --
Hope this helps!! Please mark as Brainliest!
A stereo speaker in the shape of a triangular pyramid has a height of 8.25 inches. The area of the base of the speaker is 22 square inches. What is the volume of the speaker in cubic inches?
A. 60.5 in3
B. 181.5 in3
C. 90.75 in3
D. 243 in3
Answer:
A. 60.5 [tex]in^{3}[/tex]
Step-by-step explanation:
A = 1/3(area of base)(h)
= 1/3(22)(8.25)
= 60.5 [tex]in^{3}[/tex]
4−(3−5)=.
does anyone know what this is ??
a slice of a right square pyramid perpendicular to its base but not through its top vertex
A. Square
B. Trapezoid
Answer:
This is a trapezoid.
Step-by-step explanation:
Helppppppp mmemeeeeme plzzzz
Hope this helps you solve your math problem.
Can someone explain me this
Answer:
area of circle - area of hexagon
Step-by-step explanation:
The formula for the volume of a pyramid is
V = 1/3 Bh. What can be concluded about this triangular pyramid? Check all that apply.
The height is 7 cm.
The base area is 73.5 cm2.
The volume is 171.5 cm3.
The volume of a prism with the same base area and height is 3 times the volume of this pyramid.
The area of a lateral face is used to find the volume.
Answer: C and D
Step-by-step explanation:I just did it my bad for the late response.
What is the range of y = 7x^2 + 14x – 9?
Answer:
-1,-16
Step-by-step explanation:
y=ax^2+box+c
The population of a city has increased by 33% since it was last measured. If the current population is 26,600, what was the previous population?
Answer:
26600 - 33 = 26566
Step-by-step explanation:
sum
Answer:
17,420
Step-by-step explanation:
you multiply 26,000 by .33 which gets 8,580
then subtract 8,580 from 26000 which is 17420
Hurry plz don't be bots The scale on a map shows that 10 kilometers is represented by 4 centimeters. Which proportion can be used to find
the actual distance, x, represented by 20 centimeters on the map?
10 x
0
4 20
10 20
x
리 8 8
Answer:
10/4=20
Step-by-step explanation:
x=50
Step-by-step explanation:
10/4=x/20
this will give you x=50
Given N , what is mABC
If you change the sigh of a point y-coordinate, how will the location of the
point change?
Answer:
It will reflect across the x axis
Hope this helps!
(1 point) Rewrite the logarithmic expression \log(A\sqrt{B}) \log(A^2) in equivalent logarithmic form. There may be more than one correct answer. A. \log(A) - 2\log(B) \log(A^2) B. \frac{\log(A)\log(B)}{2} 2\log(A) C. \log(A) \frac{1}{2}\log(B) \log(A^2) D. \log(A^{3}) \frac{1}{2}\log(B) E. 3\log(A) \frac{1}{2}\log(B) F. \log(A^3\sqrt{B}) G. None of the above
Answer:
Step-by-step explanation:
Answer:
C.D.E.F
Step-by-step explanation:
log(A\sqrt{B}) \log(A^2)
A. \log(A) - 2\log(B) \log(A^2)
Answer A is wrong because sqrt is denoted by 1/2 and the coefficient of log B is 2 not 1/2
B. \frac{\log(A)\log(B)}{2} 2\log(A)
Answer B is wrong because 2 is multiplied by B instead of 1/2
C.\log(A) \frac{1}{2}\log(B) \log(A^2)
Answer C is correct because 1/2 is multiplied by log B
D. \log(A^{3}) \frac{1}{2}\log(B)
Answer D is also correct because 1/2 is multiplied by log B
E. 3\log(A) \frac{1}{2}\log(B)
Answer E is also correct because 3 is co efficient of log A
F. \log(A^3\sqrt{B})
This is correct. Here the log is applied to the given fraction
The amount of interest accrued on
a $7,000 loan with 6% interest after t years.
Answer:
$420t
Step-by-step explanation:
Given data
Principal= $7000
Rate= 6%
Time= t years
The expression for the amount is
Simple interest= PRT/100
Sustitute
Simple interest= 7000*6*t/100
Simple interest= 42000t/100
Simple interest= 420t
Hence the amount after t years is $420t
The probability that you randomly select a red marble from a group of 40 marbles is 7/20 . How many are red marbles?
The sum of the measures of three
angles is 90°
The measure of angle M is 2x
The measure of angle N is 3x + 8
The measure of angle Q is 7x - 2
What is the value of x?
FOR BRAINLIST!!
Answer:
A
Step-by-step explanation:
Equation
2x + 3x + 8 + 7x - 2 = 90
Solution
Combine like terms on the left
12x + 6 = 90 Subtract 6 on both sides
12x = 90 - 6
12x = 84 Divide by 12
x = 84/12
x = 7
Lisa is building a structure to be used in the school play. The structure is in the shape of a right triangular prism.A sketch is shown.Lisa will paint outside of the entire structure after building it.What is the area Lisa will paint.Be sure to include the units label.
Answer:
36.6
Step-by-step explanation:
The amount of area Lisa will paint is 288 square inches.
What is area ?Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.
here, we have,
to determine the area Lisa will paint:
From the question, we have the following parameters that can be used in our computation:
Triangular prisms (1) to (6)
The area Lisa will paint is the literal surface of the shape
Using the above as a guide, we have the following:
Literal Area = (a + b + c) * h
Where
a, b and c = 6, 8 and 10
h = 12
Substitute the known values in the above equation, so, we have the following representation
Literal Area = (6 + 8 + 10) * 12
Evaluate
Literal Area = 288
The above is the literal surface area of the prism
Read more about surface areas at
brainly.com/question/26403859
#SPJ2
please help!! thanks!!
Answer:
_________(ANSWER)_________
1.(C)
2.(D)
3.(B)
4.(A)
6.(D)
Explanation:
(BRAINLEIST PLEASE)❤☺️☻♨️♨️☻☺️❤
plzzzzzzzzz help me on this
Answer:
B . . . . . .. . ....... .......
Answer:
is here a choice D? If there is, it must not be true
A, B, and C are true
A) 50<100
B) 60>30
C) 14>9
Suppose that there is a black urn containing nine black balls and three yellow balls and there is a yellow urn containing six black balls and six yellow balls. An experiment consists of selecting at random a ball from the black urn and then (without replacing the first ball) selecting at random a ball from the urn having the color of the first ball.
1. Construct a tree diagram showing the probabilities associated with this problem. Write a probability on each branch (6 branches). Multiply the the probabilities along each path and write that number at the end of the path (4 answers).
2. Find the probability that the second ball is yellow.
Answer:
See Annex ( Tree diagram )
Step-by-step explanation:
1) Attached
2) Probability of the second ball is yellow is
P(2nd ball is yellow ) = Probability 2nd ball s yellow (if the first one was black) + Probability 2nd ball s yellow (if the first one was Yellow)
P(2nd ball is yellow ) = 0,204 + 0,045
P(2nd ball is yellow ) = 0,249
What does b equal in the picture below?
Answer:
87
Step-by-step explanation:
just subtract 16 from 103
What is 11 3/6 rounded to the nearest
Answer:
12
Step-by-step explanation:
Triangle PQR has vertices P(−3,4), Q(−8,3), and R(−1,−6). Triangle PQR is dilated by a scale factor of 8 centered at the origin to get triangle P′Q′R′.
What are the coordinates of points P′, Q′, and R′ of the image?
P′(−38,−12), Q′(−1,38), R′(−18,−34)
P′(−3,32), Q′(−8,24), R′(−1,−48)
P′(−24,4), Q′(−64,3), R′(−8,−6)
P′(−24,32), Q′(−64,24), R′(−8,−48)
Answer:
The coordinates of points P', Q' and R' are (-24, 32), (-64, 24) and (-8,-48), respectively.
Step-by-step explanation:
Vectorially speaking, the dilation of a vector with respect to a given point is defined by the following formula:
[tex]P'(x,y) = O(x,y) + r\cdot [P(x,y)-O(x,y)][/tex], [tex]r > 1[/tex] (1)
Where:
[tex]O(x,y)[/tex] - Point of reference.
[tex]P(x,y)[/tex] - Original point.
[tex]P'(x,y)[/tex] - Dilated point.
[tex]r[/tex] - Scale factor.
If we know that [tex]O(x,y) = (0,0)[/tex], [tex]P(x,y) = (-3, 4)[/tex], [tex]Q(x,y) = (-8,3)[/tex], [tex]R(x,y) = (-1,-6)[/tex] and [tex]r = 8[/tex], then the new coordinates of the triangle are, respectively:
[tex]P'(x,y) = (0,0) + 8\cdot [(-3,4)-(0,0)][/tex]
[tex]P'(x,y) = (-24, 32)[/tex]
[tex]Q'(x,y) = (0,0) + 8\cdot [(-8,3)-(0,0)][/tex]
[tex]Q'(x,y) = (-64, 24)[/tex]
[tex]R'(x,y) = (0,0) + 8\cdot [(-1,-6)-(0,0)][/tex]
[tex]R'(x,y) = (-8,-48)[/tex]
The coordinates of points P', Q' and R' are (-24, 32), (-64, 24) and (-8,-48), respectively.
Answer:
(-24, 32), (-64, 24) and (-8,-48)
Step-by-step explanation:
A ball rebounds 70% of its original height. It is dropped from an initial height of 400 cm.
Answer:
280cm
Step-by-step explanation:
Given data
Robound= 70%
Initial height= 400cm
Let us calculate the final height after the rebound
=70/100*400
=0.7*400
=280cm
Hence the new height after the rebound is
280cm
Which expression is equivalent to 1/6 (2x+3y)
Answer:
x/3+y/2
Step-by-step explanation:
Hello, to find the equivalent expression in this equation, you would first distribute the 1/6 to 2x+3y like this:
2x(1/6)+3y(1/6)
Then, you multiply and you would get x/3+y/2. And that would be the answer.
What is the volume of a rectangular prism with the dimensions
Para calcular el volumen de un prisma rectangular, multiplica sus 3 dimensiones: longitud x ancho x altura.
HELP QUICK!!
if you know that one figure has a greater surface area than another, do you know whether it has a greater volume
Answer:
Well, it depends on their heights . If both figures have same height, then the one with greater surface area will have greater volume.
Step-by-step explanation:
Hii!! Please help me out. To help me understand the answer just say exactly which part I'm putting the number in and stuff.
Answer:
y = 4;
y = 7;
x = 6
Step-by-step explanation:
Given the rule, y = x/2, find the missing values as shown below:
✔️For the first row, to find y, substitute x = 8 into y = x/2,
y = 8/2
y = 4
✔️For the second row, to find y, substitute x = 14 into y = x/2,
y = 14/2
y = 7
✔️For the third row, to find x, substitute y = 3 into y = x/2,
3 = x/2
3*2 = x
6 = x
x = 6
the area of the trangle is......
Answer:
30 cm²
Step-by-step explanation:
To find the area of a triangle, multiply the base and the height, then, divide the product by 2.
In this case, the base is 6 and the height is 10.
6 x 10 = 60
The product is 60.
60 / 2 = 30
Therefore, the area of this triangle is 30 cm².
Answer:
30
Step-by-step explanation:
Formula for area of a triangle: [tex]A=\frac{bh}{2}[/tex]
where b = base length and h = height
The triangle shown has a base length of 6 cm and a height of 10 cm
Using this information we plug in the values into the formula
So...
[tex]A=\frac{10*6}{2} \\10*6=60 \\\frac{60}{2} =30[/tex]
Hence, the area of the triangle is 30 square centimeters.