The "middle" of a sorted list of numbers. To find the Median, place the numbers in value order and find the middle number.
When there are two middle numbers we average them.
We have:
3.9, 7, 3.3, 1, 1.4, 1.7, 2.1, 3.3, 5.2
Let's sort the numbers from the smallest to the largest
1, 1.4, 1.7, 2.1, 3.3, 3.3, 3.9, 5.2, 7
The median is 3.3Answer:
3.3
Step-by-step explanation:
The first thing you have to do is put them in order from least to greatest.
1, 1.4, 1.7, 2.1, 3.3, 3.3, 3.9, 5.2, 7
Check off one from the left side and one from the right side until you are left with the one in the middle.
When you do that, you are left with 3.3
Solve |2x + 2| = 10
Answer:
x = - 6 , x = 4
Step-by-step explanation:
the absolute value function always gives a positive value but the expression inside can be positive or negative , that is
2x + 2 = 10 or - (2x + 2) = 10
solving both
2x + 2 = 10 ( subtract 2 from both sides )
2x = 8 ( divide both sides by 2 )
x = 4
or
- (2x + 2) = 10
- 2x - 2 = 10 ( add 2 to both sides )
- 2x = 12 ( divide both sides by - 2 )
x = - 6
i need help asappppp
Answer:
a = 11, b = 7
Step-by-step explanation:
See picture
Solve the following
[tex]5x-2= -9x+8[/tex]
Answer:
5x - 2 = (-9x) + 8
5x + 9x = 8 + 2
14 x = 10
x = 10 / 14
x = 5/7
Answer:
5 / 7
Step-by-step explanation:
Step 1: Move the variables to one side and the numbers to the other. We get 14x = 10.
Step 2: Then we solve for x. x is equal to 10 / 14, which simplifies to 5 / 7.
HELP! WILL GIVE BRAINLIEST AND 50 POINTS!
A study showed that low-intensity vibration therapy reduces pain levels in patients with fibromyalgia. During each session in the study, vibration pads were placed on the pain site indicated by the patient. Pain reduction was measured through self-reporting after each session.
Another study is being designed to examine whether low-intensity vibration therapy also reduces pain in patients suffering from ruptured disks in the lumbar region of the back. Three hundred male patients are subjects in the new study.
Part A: What is an appropriate design for the new study? Include treatments used, method of treatment assignment, and variables that should be measured. (4 points)
Part B: If the study consisted of 150 male and 150 female patients instead of 300 male patients, would you change the study design? If so, how would you modify your design ? If not, why not? (4 points)
Part C: Could your design be double-blind? Explain. (2 points)
Answer:
Part A: The appropriate design would be: 300 male patients chosen should be suffering from ruptured disks in the lumbar region of the back, with similar magnitude of pain (or segregating these 300 as per magnitude of pain)
Part B: If the study consisted of 150 male and 150 female patients instead of 300 malepatients, I would change the study design, because the pain level could endure for femalecould vary compare to male.
Part C:Yes, I could design a double-blind, because it is a very good ways to show theeffect of the therapy because neither the participants nor the researchers knows whichgroups of participants is assigned to which treatment, and who are the groups of participant receiving it.
A negative number raised to an odd power is_____ negative.
always
never
sometimes
negative number taken to an odd power gives a negative result (because, after cancelling, there will be one minus sign left over).
the answer is always. negative numbers raised to odd powers remain negative. negative numbers raised to even powers become positive.
Norman plants a garden each
year. This year, his garden
produced 40% fewer tomatoes
than it did last year. If Norman’s
garden produced 30 tomatoes
this year, how many tomatoes
did his garden produce last year?
Answer:
50
Step-by-step explanation:
if last year 100% of the tomatoes were produced and this year 40% less were produced then that would mean 60% of tomatoes were produced this year.
if 60% = 30 then
100% = ?
100x30÷60
What is the solution to the linear equation?
8-10-28+7=8+d-10-36
0 d=-5
O d=1
0 d=5
Mark this and retur
Save and Exit
Next
Submit
Answer:
d = 15
Step-by-step explanation:
8 - 10 - 28 + 7 is equal to -23
8 + d - 10 - 36 is equal to -38 + d
if -23 = -38 +d
15 = d
The solution of the equation is d = 15
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is 8-10-28+7=8+d-10-36
In the equation d is the variable
We have to solve for d
8-10-28+7=8+d-10-36
-23 = -38+d
Add 38 on both sides
-23+38=d
15=d
Hence, the solution of the equation is d = 15
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Please help!!!!!!!!!!!
Let's take this problem step by step:
To find the ordered pair of the system:
⇒ must set both equations equal to each other
⇒ and solve for 'x'
Let's solve:
[tex]x^2-2x+3=-2x+19\\x^2-2x+2x+3-19=0\\x^2-16=0\\(x+4)(x-4)=0[/tex]
Let's find the x-values:
[tex](x-4)=0\\x=4\\\\(x+4)=0\\x=-4[/tex]
Let's find f(x)'s value for each 'x':
[tex]x=4\\f(4)=-2(4)+19=-8+19=11\\\\x=-4\\f(-4)=-2(-4)+19=8+19=27[/tex]
Answer: (4, 11), (-4,27)
Hope that helps!
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On a coordinate plane, a parabola opens up. It goes through (negative 8, negative 2), has a vertex at (negative 5, negative 6.5), goes through (negative 2, negative 2), and has a y-intercept at (0, 6).
Over which interval is the graph of f(x) = one-halfx2 + 5x + 6 increasing?
The graph is increasing for x > -5
EEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE I NEED HELP
Answer:
B.
Step-by-step explanation:
It is the only one that is not a fraction or a decimal that terminates or repeats.
may I have some assistance please
What method can be used to write the equation of a line in slope-intercept form given two points? Find the slope using the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction, and then substitute one point and the slope into the equation y = m x + b to find the y-intercept. Find the slope using the formula m = StartFraction x 2 minus x 1 Over y 2 minus y 1 EndFraction, and then substitute one point and the slope into the equation y = m x + b to find the y-intercept. Find the y-intercept using the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction, and then substitute one point and the y-intercept into the equation y = m x + b to find the slope. Find the y-intercept using the formula m = StartFraction x 2 minus x 1 Over y 2 minus y 1 EndFraction, and then substitute one point and the y-intercept into the equation y = m x + b to find the slope.
The method that can be used to write the equation of a line in slope-intercept form given two points is option A.
Calculations and ParametersWhen a person wants to write the equation of a line in slope-intercept form given two points, he would have to:
Know the two pointsUse them to find the slopeYou would get the value of mUse it to solve the equation y= mx + bFind the y-interceptTherefore, the answer is option A.
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A sequence starts with: 32, 31, 30, 29...
Calculate the next 3 terms
Answer:
28,27,26
sequence=-3
Step-by-step explanation:
Answer:
[tex]\fbox {28, 27, 26}[/tex]
Step-by-step explanation:
Given :
⇒ a = 32
⇒ d = 31 - 32 = -1
Finding next 3 terms :
⇒ 29 - 1 = 28
⇒ 28 - 1 = 27
⇒ 27 - 1 = 26
A basketball team scored a total of 97 points in a basketball game. They made a total of 42 two-point and three-point baskets. How many two-point baskets did they make? How many three-point baskets did they make? Let x= the number of two-point baskets Let y= the number of three-point baskets Equation for total number of baskets _____________________
Therefore the number of two point baskets = 29 and three point baskets = 13.
What is the system of equations?A set of equation that have a common factor that satisfies them
It is given in the question that
x = the two point baskets
y = the three point baskets
A basketball team scored a total of 97 points in a basketball game
2x +3 y = 97
They made a total of 42 two-point and three-point baskets.
x +y = 42
y = 42- x
2x + 3(42-x) = 97
On solving we get x = 29
Two point baskets = 29
and y = 13
Three point baskets = 13
Therefore the solution of the given system of equations are two point baskets = 29 and three point baskets = 13.
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(Giving 75 points! Please do not answer without showing work and do not answer if you do not know the answer.)
Since we know U is the midpoint, we can say TU=
substituting in our values for each we get:
? =12x−1
Solve for x
We now want to solve for x.
−4x+11=−1
−4x= ?
x= 3
Solve for TU, UV, and TV
This is just the first part of our question. Now we need to find TU, UV, and TV. Lets start with TU and UV.
TU=8x+11 We know that x=3 so let’s substitute that in.
TU=8(?)+11
TU= ?
We will do the same for UV. From our knowledge of midpoint, we know that TU should equal UV, however let’s do the math just to confirm.
UV=12x−1 We know that x=3 so let’s substitute that in.
UV=12(3)−1
UV= 35
Using the segment addition postulate we know:
TU+UV=TV
35+35=TV
TV= 70
Answer:
x = 3
TU = 35
UV = 35
TV = 70
Step-by-step explanation:
As U is the midpoint of TV:
⇒ TU = UV
⇒ 8x + 11 = 12x - 1
⇒ 8x + 11 - 11 = 12x - 1 - 11
⇒ 8x = 12x - 12
⇒ 8x - 12x = 12x - 12 - 12x
⇒ -4x = -12
⇒ -4x ÷ -4 = -12 ÷ -4
⇒ x = 3
Substitute the found value of x into the expression for TU:
⇒ TU = 8x + 11
⇒ TU = 8(3) + 11
⇒ TU = 24 + 11
⇒ TU = 35
Using the transitive property of equality:
As UV = TU and TU = 15 then UV = 35
Using the segment addition postulate:
⇒ TV = TU + UV
⇒ TV = 35 + 35
⇒ TV = 70
Hence
TU=8(3)+11=35UV=12(3)-1=35TV=2(35)=70let a,b, and c be real numbers where a ≠ b≠c≠0. which of the following functions could represent the graph below?
The function will be f(x) = x²(x - a)²(x - b)(x - c). Then the correct option is A.
What is a function?A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.
The graph is given below.
The factor of the function will be
(x - 0), (x - a), (x - b), and (x - c)
Then the function will be
Then the function can be written as
f(x) = x²(x - a)²(x - b)(x - c)
Then the correct option is A.
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Answer:
The answer on Edge is Choice A
Step-by-step explanation:
what is the square root of 10,000
Answer:
100
Step-by-step explanation:
The square root of 10000 can be written as (10000)1/2. Thus,
(10000)^/2 = (100 × 100)^1/2
(10000)^1/2 = [(100)2]^1/2
(10000)^1/2 = (100)^2/2
(10000)^1/2 = (100)^1
So,
√10000 = 100
= 1/2 (u+v)t
Where s is the distance traveled by an object (in meters) with an initial velocity u (in m/s) and final velocity (in m/s).
seconds later.
Find s when u is 8 m/s, vis 12 m/s, and t is 5 seconds.
A. 50 m
B. 78 m
C. 100 m
D. 156 m
The distance travelled by an object is 50 m.
What is Distance?The distance between two points is the length of the path connecting them.
Here, given equation of distance
S = 1/2 (u + v)t
Where s is the distance traveled by an object (in meters)
initial velocity u (in m/s)
final velocity v (in m/s).
t in seconds.
Now, given values are;
u = 8 m/s ; v = 12 m/s ; t = 5 sec.
S = 1/2 (8 + 12)5
S = 1/2 (20)5
S = 100/2
S = 50 m.
Thus, the distance travelled by an object is 50 m.
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Use trigonometry to find the height of the triangle. Then use the height to find the area. Round to the nearest hundredth
Answers:
height = 4.46 units
area = 26.73 square units
Both values are approximate
===========================================================
Explanation:
h = height of the triangle
Focus on the smaller triangle on the left.
Use the cosine ratio to find h
cos(angle) = adjacent/hypotenuse
cos(27) = h/5
h = 5*cos(27)
h = 4.4550326 approximately
Your calculator needs to be in degree mode.
We can now find the area of the overall largest triangle.
area = 0.5*base*height
area = 0.5*12*4.4550326
area = 26.7301956
area = 26.73
Answer with a step-by-step explanation:
1) First, let us find the height of the triangle.
For that let us use cos theta to find the triangle's height.
Let us use the below formula to find it.
cos Θ = Adjacent ÷ hypotenuseLet the height (adjacent ) be h.
Let us find it now.
cos Θ = Adjacent ÷ hypotenuse
cos 27° = h ÷ 5
0.8910 = h ÷ 5
0.8910 × 5 = h
4.455 = h
Therefore the height of the triangle is 4.455 units.
2) And now let us find the area of the triangle.
The formula to find the area of a triangle is:
Area = [tex]\frac{1}{2}[/tex] × base × heightLet us find it now.
A = [tex]\frac{1}{2}[/tex] × base × height
A = [tex]\frac{1}{2}[/tex] × 12 × 4.455
A = [tex]\frac{1}{2}[/tex] × 53.46
A = 26.73 units²
Can someone help me please???
Answer:
c is the answer. I hope that helps
Math word problems please help
Which of the following is a true statement about the rhombus shown? A) m angle STP=90^ B) overline ST cong overline PT C) m angle SPQ=90^ D) overline SQ cong overline PR
Answer:
A
Step-by-step explanation:
.......STP=90°........
The coordinate grid shows points A through K. Which points are solutions to the
system of inequalities listed below? (2 points)
2x + y < 10
2x - 4y > 8
EFGHJ
EFG
ACDM
AEF
Answer:
E is the solution of the inequality Coordinates of points A = (-5,4)B = (4,7)C= (-2,7)D= (-7,1)E= (4, -2)F = (1 , -6)G= (-3, -10)H= (-4 , -4)I= (9, 3)J= (7 , -4)K= (2 ,3)putting the values of coordinates in equation to check for the solution.
For A
2x + y < 10
2(-5) + 4 < 10.
-10 - 4 < 10
-14 < 10 ( true)
2x - 4y > 8
2(-5) - 4(4) > 8
-10 - 16 > 8
-26 > 8
false..
it is not the solution of the equation.
similarly we can find for other coordinates.
E is the solution
Step 4: Make a prediction with your data.
a) Using your equation from step 2d, ( y=0.14x+0.75 ) estimate the GPA of a student who studies for 15 hours a
week. Justify your answer.
Answer:
estimated gpa: 2.85
Step-by-step explanation:
Evaluate y=0.14x+0.75 at x = 15 (hours):
y = 0.14(15 hours) + 0.75
= 2.1 + 0.75
y = 2.85 = estimated gpa corresponding to 15 houirs of study
Quadratic Equation Question
Answer: 0.68 or 13.92
Step-by-step explanation:
If the height is 47 meters, then the height, h, is equal to 47.
[tex]47=73t-5t^2\\\\5t^2 - 73t+47=0[/tex]
Using the quadratic formula,
[tex]t=\frac{-(-73) \pm \sqrt{(-73)^{2}-4(5)(47)}}{2(5)}\\\\\\t=\frac{73 \pm \sqrt{4389}}{10}\\\\\\ t=\frac{73+\sqrt{4389}}{10}, \frac{73-\sqrt{4389}}{10}\\\\\boxed{t \approx 0.68, 13.92}[/tex]
What is the value of cos theta in the diagram below
O 3/5
O3/4
O 4/5
O4/3
The value of cos θ is 3/5.
What is Trigonometry?Trigonometric ratios can be used to determine the ratios of any two sides out of a total of three sides of a right-angled triangle in terms of the respective angles.
Here, given point on circle is (0.6, 0.8) or (3/5 , 4/5)
x - axis (base) = 3/5
y - axis (Perpendicular) = 4/5
Radius (Hypotenuse) = 1
Now, we know
cos θ = Base / Hypotenuse
cos θ = 3/5
Thus, the value of cos θ is 3/5.
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Find the distance between -6.77777 and 3.55555.
O 10.3
O 10.33332
O 10.3333332
13.33332
Answer:
10.33332
Step-by-step explanation:
-6.77777 is 6.77777 units away from 0. So there's 6.77777+3.55555 which is 3.55555 units away from 0.
Add those two numbers together and it's 10.33332
Answer:
10.33332
Step-by-step explanation:
distance between -6.77777 and 3.55555 is 10.33332
The table shows results of an experiment that was replicated.
Which best describes the data?
They are precise and reproducible.
They are precise but not reproducible.
They are accurate and reproducible.
They are accurate but not reproducible.
The option that best describes the experiment is accurate and reproducible.
What option describes the data?All the values from the experiment are close in value to the accepted value. This indicates that the experiment is accurate. Two experiments yield the same values. This indicates that the experiment is reproducible.
Here is the table used in answering the question:
Accepted Value: 130
Experiment 1 129
Experiment 2 131
Experiment 3 129
Experiment 4 132
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Answer:
(A)They are precise and reproducible
Step-by-step explanation:
Which choices are in the solution set of the inequality below? Check all that
apply.
18x> 45
A. 3
B. 2
c.
-13
D. 5
E. 2.5
F. 9
Answer: its -0
Step-by-step explanation:
constant equality 123
Answer:
using the identity (a±b) ² = a² + b² ± 2ab1) X² + 1 - 2X
2).x² + 4 - 4x
3) 9 + x² - 6x
4) y² + 16 - 8y
5) 4x² + 1 - 4x
6) 9 + 4y² - 6y
7) 4x² + y²- 8y
8) 1 + 16a² - 8a
9) 9x²+ 4y² - 12xy
10) -x²- 16y² + 8y
11) -x²- 25y + 10xy
Need help (pic included)
Answer:
r = 5
Step-by-step explanation:
The zeroes ( where the function intersects the x - axis) are equi-distant from the vertex line of symmetry
vertex 2,4 to get to -1 , 0 you have to go three units in the negative x direction ..... the other zero is on the OTHER side of the vertex 3 units which would be 5,0 so r = 5
Here is a graph to look at:
