Answer:
The standard deviation of the set is 4.2
Step-by-step explanation:
The standard deviation (sd) for the set is calculated as follows:
sd² = [(x1 - mean)² + (x2 - mean)² + ... ]/N
where x1, x2, et cetera are the values in the set and N is the number of elements in the set. Replacing with data:
sd² = [(2 - 7)² + (4 - 7)² + (6 - 7)² + (9 - 7)² + (14 - 7)²]/5
sd = √17.6
sd = 4.2
What if the value of x?
Answer:
x = 5
Step-by-step explanation:
This is a right triangle with hypotenuse x
We can use the Pythagorean theorem
a^2+b^2 = c^2
3^2+4^2 = x^2
9+16= x^2
25=x^2
Take the square root of each side
sqrt(25) = sqrt(x^2)
5 = x
what is the distance between the points (-4,0) and (-7, -14) ?
Answer:
Step-by-step explanation:
(-4,0) ; (-7, -14)
[tex]d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}\\\\ =\sqrt{(-7-[-4])^{2}+(-14-0)^{2}}\\\\ =\sqrt{(-7+4)^{2}+(-14)^{2}}\\\\=\sqrt{(-3)^{2}+(-14)^{2}}\\\\=\sqrt{9+196} \\\\=\sqrt{205} \\\\=14.3178[/tex]
What are the odds against selecting a red marble
Answer: it’s the first one.
Step-by-step explanation:
A small pouch contains 8 black marbles,5 white marbles, and 12 red marbles. Find the probability of picking a red then a black marble if you do not replace the first marble.
Answer:
4/25
Step-by-step explanation:
Total amount of marbles: 8 + 5 + 12 = 25
With 25 marbles, the probability of picking a red is: 12/25
After 1 red marble is removed, the probability of picking a black is: 8/24 = 1/3
Then, the probability of picking a red then a black marble if you do not replace the first marble is: 12/25 * 1/3 = 4/25
True or false.
If the dilated image is larger than the pre-image, then the scale factor of the dilation is less than 1.
Answer:
False
Step-by-step explanation:
In order for the dilated image to become larger, it has to have a scale factor that is more than one not less than one.
False, Because If the scale factor is greater than 1, the image is larger than the preimage.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We know that;
If the scale factor is between 0 and 1, the image is smaller than the preimage. Dilations with a scale factor between 0 and 1 are called reductions.
And, If the scale factor is greater than 1, the image is larger than the preimage. Dilations with a scale factor greater than 1 are called enlargements.
Thus, The given statement is false.
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A plane intersects a pentagonal pyramid horizontally as shown. Describe the cross-section.
A)
pentagon
B)
rectangle
C)
trapezoid
D)
triangle
Answer:
The answer is A I JUST DID it
The cross section of the figure is Pentagon.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
A plane intersects a pentagonal pyramid horizontally as shown.
Now, By the given figure,
The plane slices through the pentagonal pyramid horizontally and forms a pentagon shaped cross-section.
Hence, It represent the Pentagon.
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Toilet paper has been hard to find lately. You go to the store and are surprised to find that they have some toilet paper in stock. Now you have a different problem. There are two brands of toilet paper you can choose from, Roll A and Roll B. Which roll should you buy in order to get the most toilet paper? Round your answer to the nearest whole number.
Total Volume = (3.14) (2.5) ^2 (4.5) =
Subtract the middle rim.
V = (3.14 ) ( .75 ) ( 4.5 )
TOTAL VOLUME - MIDDLE PART VOLUME =
Answer:
77
Step-by-step explanation:
Total Volume = 88
Middle Part Volume = 11
Total - Middle = 77
Solve by completing the square:
x2 + 3x – 9 = 0
Answer:
Step-by-step explanation:
x = 9/5
The solution of the equation [tex]x^2 + 3x - 9 = 0[/tex] by completing the square would be [tex]x = \pm ( \dfrac{\sqrt{45}}{2} - \dfrac{3}{2} )[/tex].
Used the concept of a quadratic equation that states,
An algebraic equation with the second degree of the variable is called a Quadratic equation.
Given that the equation is,
[tex]x^2 + 3x - 9 = 0[/tex]
Now completing the square as
[tex]x^2 + 3x - 9 = 0[/tex]
Add and subtract by 9/4,
[tex]x^2 + 3x + \dfrac{9}{4} - \dfrac{9}{4} - 9 = 0[/tex]
[tex]x^2 + 3x + ( \dfrac{3}{2})^2 - \dfrac{9}{4} - 9 = 0[/tex]
[tex](x + \dfrac{3}{2} )^2 - ( \dfrac{9}{4}+ 9) = 0[/tex]
[tex](x + \dfrac{3}{2} )^2 - ( \dfrac{45}{4}) = 0[/tex]
[tex](x + \dfrac{3}{2} )^2 = ( \dfrac{45}{4})[/tex]
Taking square root on both sides,
[tex](x + \dfrac{3}{2} ) = \pm ( \dfrac{\sqrt{45}}{2})[/tex]
Therefore, the solution of an equation is,
[tex]x = \pm ( \dfrac{\sqrt{45}}{2} - \dfrac{3}{2} )[/tex]
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Complete 4 A,B 9 for points.
Answer:
R = (1/t) (A/P - 1)
T = (1/r) (A/P - 1)
What is the value of b? -8/5b = 8
Answer:
-0.2 or -2/10
Step-by-step explanation:
hope this helps
During the 1920's there was an overproduction of consumer goods. What happened to the price of goods when demand did not increase?
Prices Increased
Prices decreased
Prices Skyrocketed
Prices stayed the same
Answer:
Prices decreased
Step-by-step explanation:
What happened to the price of goods when demand did not increase is prices decreased.
If a cross section was cut that was parallel to the base of a triangular prism below a shape with that cross section be ?
A. Square
B. Triangle
C. Parallelogram
D. Rectangle
How many servings of
cups are in 33 cups of ice cream?
Answer:
I am 99% sure its 33 servings
Step-by-step explanation:
because the question says that "how many servings of cups are in 33 cups".
(hopefully im right) and HOPEFULLY THIS HELPS. : )
Simplify (2a – 5)2 using the square of a binomial formula.
Question 20 options:
A)
4a2 – 20a + 25
B)
4a2 – 25
C)
4a2 – 10a + 25
D)
4a2 + 25
Answer:
B
Step-by-step explanation:
0-o
Solve this brain teaser, please!!!
Answer:
0 in the end they all burn out
Step-by-step explanation:
Answer: 10
Step-by-step explanation:
Solve the system using elimination and describe your steps.
3x + y = 9
5x + 4y = 22
-------------------
Answer:
x = 2, y=3
Step-by-step explanation:
3x + y = 9
5x + 4y = 22
Multiply the first equation by -4
-4(3x + y) = 9*-4
-12x -4y = -36
Add this to the second equation to eliminate y
-12x -4y = -36
5x + 4y = 22
---------------------------
-7x = -14
Divide each side by -7
-7x/-7 = -14/-7
x = 2
Now find y
3x+y = 9
3(2) +y = 9
6+y = 9
Subtract 6 from each side
-6+6 +y = 9-6
y = 3
Answer:
x = 2, y = 3
Step-by-step explanation:
3x + y = 9 (1)
5x + 4y = 22 (2)
Multiply equation (1) by -4 and add to equation (2)
-12x - 4y = -36
5x + 4y = 22
-7x = -14
x = 2
Using any equation, solve for y
5(2) + 4y = 22
4y = 12
y = 3
What is the value of x? Leave answer in simplest radical form.
8
60°
Answer:
Your answer is A . 8
Step-by-step explanation:
hope it helps !
What’s the missing leg length
Answer:
15
Step-by-step explanation:
pythag theorum
Answer:
15
Step-by-step explanation:
Pythagorean thm. says a^2+b^2=c^2 where a and b are the legs of the triangle and c is the hypotenuse.
The hypotenuse, c = 17
Leg b =8
a^2=c^2-b^2
a^2=17*17-8*8
a^2=289-64
a^2=225
Take the square root of both sides.
a = 15
PLEASE ANSWERRRRR! EASY!!!!!!!!!!!!!
People use water to cook, clean, and drink every day. An estimate of 17.2% of the water used each day is for drinking. If a family uses 68.8 gallons of water a day for drinking, how many gallons do they use every day?
The unit of metric measurement used
when measuring the width of your
pencil point.
A. Milliliters
B. Milligrams
C. Millimeters
D. Centimeters
The unit of metric measurement used
when measuring the width of your
pencil point is millimeters
What type of function is represented?
Answer:
b
Step-by-step explanation:
ITS B NOT C ITS B ITS B ITS B.
Help me please help me helpm
Answer:
[tex]g(x) = {(x + 9)}^{2} [/tex]
What is the value of this expression when c= -4 and d = 10?
1/4(c3+d2)
The value of the expression using BODMAS rule is 9.
What is simplification?
To simplify the arithmetic expression involving more operators, we need to use BODMAS rule. The full form of BODMAS is Brackets (Parts of a calculation inside the bracket always come first), Precedence of brackets are : [{(bar)}], Orders (powers and square roots), Division, Multiplication, Addition, Subtraction.
For the given situation,
The values are c = -4, d = 10
The expression is 1/4(c^3+d^2)
Substitute the above values,
⇒ [tex]\frac{1}{4}(c^{3}+d^{2} )[/tex]
⇒ [tex]\frac{1}{4} (-4^{3} +10^{2} )[/tex]
⇒ [tex]\frac{1}{4}(-64+100)[/tex]
⇒ [tex]\frac{1}{4}(36)[/tex]
⇒ [tex]9[/tex]
Hence we can conclude that the value of the expression using BODMAS rule is 9.
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Answer: 9
Step-by-step explanation:no clue how I got it but the test marked it correct
Examine these points on line u and line v.
Line u: (9,-8), (5,4)
Line v: (4,2), (7.-7)
How many points of intersection are there between line
u and line v?
zero
one
two
infinitely many
Answer:There are zero interception.
Step-by-step explanation:
The equation to Line U: is y=-3x +19 and the equation to line V is y=-3x +14
So as you can see ,the lines have the same slopes but different y-intercepts.This means the lines are going to be parallel when being graph.Parallel lines never cross or intersect so there is no points of intersection.
Answer:
A. zero.
Step-by-step explanation:
i took the assignment.
49 increased by twice a number m
Answer:
The third one I think
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
First -> twice m is -> 2m
Then
49 increased so -> 49+2m
help me with this please I don't exactly get it
Answer:
P = 40.56 in (ANS)
Step-by-step explanation:
radius = 8/2 = 4 in
semi-circle perimeter = pi * R = 3.14 * 4 = 12.56 in
figure perimeter = 12.56 + 10 + 8 + 10 = 40.56 in (ANS)
Use the Distributive Property to write an expression equivalent to 4(p-12).
Answer:
4p - 48
Step-by-step explanation:
(4 × p) + (4 × 12)
I hope this helps!
Answer:
4p - 48
Step-by-step explanation:
(4 × p) + (4 × 12)
Perform the addition of polynomials (middle school math pls help!)
Answer: 1/4a - 1/6b + 1/10c
Hope this helped! Have a great rest of your day :)
If each quadrilateral below is a rectangle find the missing measure in #5
Answer:
What do you mean by #5?
Step-by-step explanation:
Write a quadratic function with a vertex at (-9,13).
Answer:
y = x² + 18x + 94
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (- 9, 13) and letting a = 1, then
y = (x + 9)² + 13 ← expand (x + 9)² using FOIL
= x² + 18x + 81 + 13
= x² + 18x + 94