The nature of the research is called Observational Study while the target Population is American Students.
How to find the sampling method?
1) In study, we survey members of a sample without trying to affect them while in experiment, we assign people or things to groups and apply some treatment to one of the groups, while the other group does not receive treatment. Thus, this is an observational study.
2) The sample is the 100 students made up of 50 boys and 50 girls.
3) The target Population are American College Students
4) The sampling method is; Simple random Sampling
5) The data is qualitative because it deals with description of feelings rather than dealing with numbers and figures.
6) It is unlikely that the results would be invalid because of sampling bias as it was only done in a private university.
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The function h(x) = 1/4|x| is a transformation of the absolute value parent
function, F(x) = |x|. Which graph shows h(x)?
The graph of the dilated absolute value function can be seen below.
How to get the graph of h(x)?
We know that h(x) = (1/4)*f(x), where f(x) is the parent absolute value function.
Then we have a vertical dilation of scale factor k = 1/4. Then the graph of h(x) wil be four times wider than the parent absolute value function.
The graph of h(x) is the one you can see below. Where there is also the graph of f(x) so you can compare them.
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Perform the given operation and simplify.
(m-2)(m*2+2m-3)
Answer:
=4m^2−11m+6
Step-by-step explanation:
Given algebraic expression:
(m-2)(m•2+2m-3)
To:
Simplify
Solution:
(m−2)(m(2)+2m−3)
=(m)(m(2))+(m)(2m)+(m)(−3)+(−2)(m(2))+(−2)(2m)+(−2(−3)
=2m^2+2m^2−3m−4m−4m+6
=4m^2−11m+6
Calculate the volume of the figure below
Answer:
40 cm³Step-by-step explanation:
Calculate the volume of the figure below
find the volume of the two rectangular parallelopipeds and add the results2*2*6 + (6-2)*2*2 =
24+4*2*2=
24+16=
40cm³
The means and mean absolute deviations of the individual times of members of two relay swim teams are shown in the table below.
Means and Mean Absolute Deviations of
Individual Times of Members of 4 times 200 meter Relay Swim Teams
Team A
Team B
Mean
127.9 s
127.4 s
Mean Absolute Deviation
0.26 s
0.23 s
The difference of the means is found and then compared to each of the mean absolute deviations. Which is true?
The difference between the mean times is about equal to the mean absolute deviation of the data sets.
The difference between the mean times is about 2 times the mean absolute deviation of the data sets.
The difference between the mean times is about 5 times the mean absolute deviation of the data sets.
The difference between the mean times is about 16 times the mean absolute deviation of the data sets.
The correct answer is option D which is the difference between the mean times is about 16 times the mean absolute deviation of the data sets.
What is mean?Mean is defined as the ratio of the sum of the number of the data sets to the total number of the data.
The difference between the mean times is about 16 times the mean absolute deviation of the data set.
127.9-127.4=0.5
0.26-0.23=0.03
0.5/0.03=16.6666
We can see that the ratio of the mean times difference is 16 times the mean deviation by solving the above.
Therefore the correct answer is option D which is the difference between the mean times is about 16 times the mean absolute deviation of the data sets.
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Answer: D
Step-by-step explanation:
What is the maximum number of right angles in a triangle that lies on a sphere?
A.
three
B.
two
C.
zero
D.
one
Answer:
A. Three
explanation :
In Spherical Geometry, a triangle can have three right angles!
Question 1 of
Select the correct answer.
A rectangular sheet of steel is being cut so that the length is four times the width. The perimeter of the sheet must be less than
100 inches.
length (/)
width (w)
Which inequality can be used to find all possible lengths, I, of the steel sheet?
5/2L > 100
10L < 100
5/2L< 100
10L > 100
Answer:
5L/2 < 100
Step-by-step explanation:
Let's get started!
Let :
⇒ Length = L
⇒ Width = L/4
It mentions the perimeter must be less than 100 inches.
Perimeter Formula :
Perimeter (Rectangle) = 2(Length + Width)
Then, the inequality formed will be :
⇒ 2 (L + L/4) < 100
⇒ 2 (5L/4) < 100
⇒ 10L/4 < 100
⇒ 5L/2 < 100
Length be L
width be L/4
Now
Perimeter=2(Length+Breadth)
2(L+L/4)<1002(5L/4)<1005L/2<100The ratio opposite/hypoenuse describes which function
A. Cosine
B. Secant
C. Sine
D. Tangent
x^2+ 4x +29=0 solve the quadratic equation by completing the square.
Answer + Step-by-step explanation:
x² + 4x + 29 = 0
⇔ [x² + 4x] + 29 = 0
⇔ [x² + 4x + 4 - 4] + 29 = 0 (just add and subtract 4)
⇔ [x² + 4x + 4] - 4 + 29 = 0
⇔ (x + 2)² - 4 + 29 = 0 (Replace x² + 4x + 4 by (x + 2)²)
⇔ (x + 2)² + 25 = 0
⇔ (x + 2)² = -25 impossible because (x + 2)² > 0 and -25 < 0
Then there is no solution to the quadratic.
WILL MARK BRAINLIEST 50 POINTS Find the area of the regular pentagon if the apothem is 7 ft and a side is 10 ft. Round to the nearest whole number.
175 ft2
350 ft2
35 ft2
70 ft2
Answer:
175 ft^2
Step-by-step explanation:
split the pentagon into 5 triangles with base length 10ft and height 7ft. each triangle then has an area of 10 * 7 * 1/2 = 35 ft^2
then the pentagon has an area 35*5 = 175 ft^2
Five times a number decreased by nine is equal to twice the number increased by 23 which equation could be used to solve the problem
Answer:
(5 • x) - 9 = 2x + 23
Write a quadratic equation in standard form given the roots: -3 and 4/5
Answer:[tex]x^{2}+\frac{11x}{5}-\frac{12}{5}[/tex]
Step-by-step explanation:
The roots are really just what x is when the equation is equal to zero. So, an equation with these roots would look like this:
(x+3)(x-4/5)=y
however, this is not standard form. To get standard form we will need to expand the equation using FOIL.
x^2+3x-4x/5-12/5=
x^2+11x/5-12/5
and that would be your answer.
This stuff is a bit tricky and it get annoying with those pesky fractions. If you have any questions just comment.
Convert the following equation into standard form y=10x+12
Answer:
y = 10x + 12
y + (-12) = (10x + 12) + (-12)
y - 12 = 10x + 12 -12
x = [tex]\frac{y-12}{10}[/tex]
Which of the following is closest to the area of the figure below, consisting of a semicircle and rectangle
Examine the diagram. It is not drawn to scale.
X
50°
3
55°
Y
75°
N
What is the m<3?
m23 =
Answer:
M3 = 105°
angles on a straight line add up to 180°
M3 = 180 - 75
= 105°
PLS HELP!!! Explain how to use estimation to help find the product of two decimals. Give an example with both estimated and actual answers.
Answer: if you multiply decimals , the estimate value is necessary !
it could be understood easily, if at any place the number exceeds 4 , then the value in front is raised by one !
as;
2.234 = 2.23 , it will remain same but,
2.235 = 2.24 the 3 raised to 5 !!
Step-by-step explanation:
How to convert 1 kg into centigrams
Answer:
[tex]1 ~\text{kg}= 100000~ \text{centigram}.[/tex]
Step-by-step explanation:
[tex]1 ~ \text{kg}\\\\=1000~ \text{g}\\\\=1000 \times 100~ \text{cg}\\\\=100000~ \text{cg}.[/tex]
Which option is an even function?
The correct answer is option D. Which is the even function is f (x) = x⁴.
What is an even function?The function in which when the sign of the input variable is changed the output remains the same is called the even function. Mathematically we can write it as f(x) = f(-x ).
let us check the given four options:-
A f(x) = √x ; f(-x) = √-x here f(x) ≠ f(-x)
B f(x) = x ; f(-x) = -x here f(x) ≠ f(-x)
C f(x) = x³ + 1 ; f(-x) = -x³ + 1 here f(x) ≠ f(-x)
D f(x) = x⁴ ; f(-x) = (-x)⁴ = x⁴ here f(x) = f(-x)
We can see that in the option D the f(x) = x⁴ is an even function because f(x) = f(-x).
Therefore the correct answer is option D. Which is the even function is f (x) = x⁴.
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X 49°
14
i will give points!!
In the given diagram, the length of the side marked x is 21.34
TrigonometryFrom the question, we are to determine the value of the side marked x
In the given diagram,
Hypotenuse = x
Adjacent = 15
Included angle = 49°
Using SOH CAH TOA
We can write that,
cos 49° = 14 / x
∴ x = 14 / cos 49°
x = 21.34
Hence, the length of the side marked x is 21.34.
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13-3-2-1+6 = please show your work.
Answer:
the answer is going to be 13
Answer:
13
Step-by-step explanation:
Follow PEMDAS
13-3-2-1+6
13-3=10
10-2-1+6=
10-2=8
8-1+6
8-1=7
7 + 6=13
A={j,a,c,k,p,o,t} and U={a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u,v,w,x,y,z}, find A′.
Answer:
Answer: {b,d,e,f,g,h,i,l,m,n,q,r,s,u,v,w,x,y,z}
Step-by-step explanation:
A' = U-A
={b,d,e,f,g,h,i,l,m,n,q,r,s,u,v,w,x,y,z}
(x-4)3/4 = 27
solve for x
Answer:
40
Step-by-step explanation:
Lets put the 3/4 at the beginning and expand this bracket :
3/4(x-4) = 27
3/4x - 3 = 27
Now we add 3 to both sides :
3/4x = 30
Now we times both sides by 4 :
3x = 120
Now we divide both sides by 3:
x = 40
Hope this helped and brainliest please
Help me please I been trying to figure out how to do this problem
sin 30 = x/4
sin 30 = 0.5
0.5 = x/4
x = 2
Write a system of equations to describe the situation below, solve using any method, and fill in the blanks. The Osborne family and the Carey family are seeing a movie together in the theater. At the concession stand, Mr. Osborne paid $10 for 2 large popcorns and 1 large drink that his family will share. Mrs. Carey bought 4 large popcorns and 1 large drink and paid $16. How much does each item cost? A large popcorn costs $ and a large drink costs $ .
Answer:
p = 3 dollars d = 4 dollars
Step-by-step explanation:
2 p + 1 d = 10 given
4 p + 1 d = 16 given Subtract second equation from first to get:
-2p = - 6
p = 3 dollars then use this value in either of the equations to find 'd'
2(3) + d = 10
d = 4
You are asked to prepare a prescription for an Antihistamine 12.5mg/5ml elixir. What is the percent strength of the medication?
Answer:
1) 0.25%
Step-by-step explanation:
Ratio= weight in g/ volume in ml
1. percent strength = 12.5× 10-³g /5ml × 100%
=0.25%
Answer:
0.25%
Step-by-step explanation: Convert mg to g (1g = 1000mg)
12.5mg/1000mg = 0.0125g/5ml ( 0.0025) x 100 = 0.25%
Please help I will give the most points
I need help please ASAP?!!!
Answer:
Its 43.2
I hope this helps ^^
Answer:
43.2
Step-by-step explanation:
kilometers, hectometers, decameters, meters, decimeters, centimeters, millimeters
To go right once multiply be ten
To go left once divide by ten
4.32 • 10 = 43.2
What is the common ratio of the geometric sequence below?
-96, 48, -24, 12, -6, ...
0-2
1
2
02
The common ratio of the geometric sequence is -1/2
How to determine the common ratio?The geometric sequence is given as: -96, 48, -24, 12, -6, ...
The common ratio is calculated using:
r = T2/T1
From the sequence, we have:
T2 = 48
T1 = -96
This means that
r = 48/-96
Evaluate the quotient
r = -1/2
Hence, the common ratio of the geometric sequence is -1/2
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Solve the proportion for b.
54
=
812
b = [?]
Answer:
Step-by-step explanation:
b = 8/2 *4
b = 16
The cost of renting a bus for a field trip was split evenly among 20 students. At the last minute, 10 more students joined the trip. The cost of renting the bus was then evenly redistributed among all of the students. The cost for each of the original 20 students decreased by $1.50. What was the total cost of renting the bus, in dollars?
By solving a linear equation, we will see that the total cost for renting the bus is $90.
What was the total cost of renting the bus, in dollars?Let's say that the total cost is C.
When there are 20 students, each student should pay:
p = C/20
When the other 10 students are added (for a total of 30) each student pays:
p' = C/30.
We know that the cost for each of the original 20 students decreased by $1.50, so:
p' = p - $1.50
Then we have 3 equations to work with:
p = C/20
p' = C/30.
p' = p - $1.50
Now we can replace the first and second equations into the third one:
C/30 = C/20 - $1.50
Now we can solve this linear equation for C:
C/20 - C/30 = $1.50
C*( 1/20 - 1/30) = $1.50
C*(30/600 - 20/600) = $1.50
C*(10/600) = $1.50
C*(1/60) = $1.50
C = 60*$1.50 = $90
So the total cost for renting the bus is $90.
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Which values of a and b make this system of equations have infinitely many solutions?
2y + 16 = 6x
y = ax + b
a = -3, b = 8
a = -3, b = -8
a = 3, b = -8
a = 3, b = 8