The standard deviation of the given data is 3.5
How to calculate the standard deviation of data?Standard deviation is used to determine the rate of dispersion of data with respect to the mean.
The formula for calculating the standard deviation of data is given as:
[tex]\sigma = \sqrt{\frac{\sum (x-\overline x)^2}{n-1} }[/tex]
Given the data below:
10.4, 10.3, 11.7, 11.1, 8, 4.4, 2.6, 1.8, 2.5, 4.4, 7.3, 9.5
Using the stdevp calculator the standard deviation is calculated as:
σ = √12.405
σ = 3.5
Hence the standard deviation of the given data is 3.5
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a rectangle has an area of 30 square meters and a permiter of 34 meters what are the dimensions of the rectangle
Answer:
2m by 15m
Step-by-step explanation:
Form a system of equations where x is the length and y is the width.
Area: xy=30
Perimeter: 2x+2y=34
x=2, y=15 (solve by substitution)
Determine the center and radius: x2 + y2 - 10x + 8y -8 = 0
So our equation currently is ⇒ [tex]x^2+y^2-10x+8y-8 = 0[/tex]
Let's first move all the constant to one side and group 'like variables' together:
[tex](x^2-10x)+(y^2+8y) = 8[/tex]
Now lets complete the square of both equations
[tex](x^2-10x+25)+(y^2+8y +16) = 8 + 25 + 16\\(x-5)^2+(y+4)^2 = 49\\(x-5)^2+(y+4)^2 = 7^2[/tex]
Now we know the circle's general equation format is:
⇒[tex](x-h)^2+(y-k)^2 = r^2[/tex]
(h, k) ⇒ coordinate of the center of the circler ⇒ length of radius of circleThus the radius of the circle is 7
Hope that helps!
Question 10 of 10
Which of the following graphs is described by the function given below?
Y = x - 6x -7
• A. Graph A
• B. Graph B
• C. Graph C
• D. Graph D
PLEASE!!!!!!!
Answer:
Graph A
Step-by-step explanation:
The y intercept of the graph is (0, -7), which is what the graph's y intercept lies on.
John owns a clothing store
Answer:
I think John does not own a clothing store
Witch is a following radical to …
Answer:
B
Step-by-step explanation:
If the rate of markup on selling price is 40%, what is the rate of markup on cost.
A phone sells for $245. It is now on sale for off the original price.
April has a coupon for an extra 10% off the sale price. To the nearest
dollar, how much less than the original price will April pay for the
phone?
A. $25
B. $49
C. $68
D. $69
Answer:
$25
Step-by-step explanation:
[tex]current \: selling \: price = 245 \\ 10 \: percent \: of \: 245 = \frac{10}{100} \times 245 \\ = 0.1 \times 245 = 24.5 \\ 25 \: to the nearest dollar \\ he \: will \: pay \: 25dollars \: less[/tex]
$25
PLEASE RATE AND MARK BRIANLIEST
Which of the following is the growing elderly population attributed to?
Baby boomers are now approaching elderly ages.
Lower death rates means more people live longer.
Advancements in science and medicine extend lives.
Preventive health care has eliminated deadly diseases.
Answer: lower death rates
Step-by-step explanation:
What is the median value of the data set shown on the line plot?
Enter your answer in the box.
Answer:
please add the picture for us to see.
Step-by-step explanation:
Help with this math question please
Answer:ur doomed dude I don’t know
Step-by-step explanation:
The circumference of a circle is37.68 kilometers. What is the circle's radius?
circumference= 37.68 km
to find:the circle's radius.
solution:[tex]r = \frac{c}{2\pi} [/tex]
[tex]r = \frac{37.68}{2\pi} [/tex]
[tex]r = 5.99696 \: km[/tex]
[tex]r =6 \: km[/tex]
In an RPG game, each player can choose among 5 basic classes: Mage, Warrior, Archers, Priests, Monks. Each basic class can advance to 4 sub-classes. If each character can have two sub-classes at the same time, how many different combinations are there?
Answer:
In RPGs a Character Class is a designation that determines a player's abilities and fighting style (and depending on the game possibly even their origin, education, and home area) often in the form of a job or archetype. A character class is defined by the abilities that it lends to a character — as such, two different characters with the same class are theoretically interchangeable, in that they have the same "power set" and can play the same role in gameplay because of their similar abilities. However, character class systems can come with varying levels of customization — ranging from characters of a given class being literally identical to having so much variety that character class is no longer even a good indicator of that character's abilities. While most common in fantasy Role-Playing Games, they have recently began to appear in other genres, such as trading card games and MOBAs.
Step-by-step explanation:
what is the median for 55, 75, 45, 80, 50, 70, 45, 85, 60, 70
Answer:
it’s 60
Step-by-step explanation:
what you do is take the two middle numbers 50 and 70 add them both up get 120 then divide by 2 and get 60
a cube shaped shed has a 6 foot high walls if all the shed's walls are painted not including the floor or ceiling how much area will be painted
what is the sum of 10000+101010
Answer:
10000+101010 = 111010
[tex] \orange{ \boxed{ \sf{111010}}}[/tex]
Answer:
10000+101010 = 111010
Step-by-step explanation:
10000+101010 = 111010
Please help me understand the question
Answer:
○ [tex]\displaystyle \textcolor{black}{C.}\:triangle[/tex]
Explanation:
This is a triangular prism. Its faces are triangular, but the lateral faces are rectangular. All prisms will have lateral faces shaped as rectangles. Do not ever forget this.
I am joyous to assist you at any time.
The tent shown is a triangular prism. What is the amount of space inside the tent?
A.What is the length of the tent, to the nearest foot, from the front to the back?
B. What formula will find the space inside the tent ? what is the space inside the tent?
The length of the tent to the nearest foot, from the front to the back is 42 ft. the total amount of space inside the tent is 816.83 cubic feet.
What is the volume of a right triangular prism?A right triangular prism is a 3-dimensional triangle with two congruent triangular faces and 3 rectangular faces that connect the triangular.
The volume of a right triangular prism = ( height × Base Area)
A. The length of the tent to the nearest foot, from the front to the back
= 15 + 6 + 15+ 6
= 42 ft
B. Given that the tent is in the shape of a triangular prism the volume of the prism will be given by:
The volume of a right triangular prism = ( height × Base Area)
height = √(36 - 9)
= √27
The volume of a right triangular prism = √27 × 157.2
= 816.83
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Kristen is doing her math homework for each problem she uses 1/3 of a sheet of paper how many sheets of paper will she need for nine problems
Answer:
Step-by-step explanation:
because nine is greater than one, you get one whole for each time you can fit 9 in 3. The answer will be 3. (3x3 is nine)
what is the inverse of F(C) = 9 5 C + 32 is
basically f(c) is like y and 95c is like 95x. to find the inverse function you basically just reverse x and y and then solve for y again.
y=95x+32
x=95y+32
x-32=95y
(x/95)-(32/95)=y
wanting some extra help with factoring while knowing what method it would be like gcf or grouping etc
d) You have a difference of squares:
49y² - 9 = (7y)² - 3²
Recall the identity,
a² - b² = (a - b) (a + b)
So,
49y² - 9 = (7y - 3) (7y + 3)
e) Pull out the common factor 3 from each term:
3x² - 3x - 90 = 3 (x² - x - 30)
Now use the sum-product method. Notice that we can write 30 = 5 • 6, and 5 - 6 = 1, so
3x² - 3x - 90 = 3 (x + 5) (x - 6)
f) Same as in (e), use the sum-product method. Notice that 42 = 7 • 6, and -7 - 6 = -13, so
x² - 13x + 42 = (x - 7) (x - 6)
#1
49y²-9(7y)²-3²(7y-3)(7y+3)#2
3x²-3x-903(x²-x-30)3(x-6)(x+5)#3
x²-13x+42x²-7x-6x+42(x-7)(x-6)56 units needed, 6 units per case
Answer:
10 cases 4 units over
Step-by-step explanation:
please read the picture and help
Answer:
A.) (-4,-2)
Step-by-step explanation:
Because the lines intersect
the 5 degree measures of 5 angles are 30 degrees, 40 degrees, 35 degrees, 50 dgrees, and 55 degrees. Find the measdian angle measure. Change it to radius. round your answer to the nearest hundredth.
Answer is The measure of median angle is 0.700 radians.
Help help math math math
Answer: The slope is 3
Step-by-step explanation:
The formula for slope is [tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]
Where
[tex](x_1,y_1)[/tex]= coordinates of the first point in the line
[tex](x_2,y_2)[/tex]= coordinates of the second point in the line
Let's use (2,-3) for the first point and (4, 3) for the second point.
Sub the values into our formula
[tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} }\\\frac{3-(-3)}{4-2}[/tex]
Now simplify
[tex]\frac{3-(-3)}{4-2}\\\frac{6}{2}\\3[/tex]
Answer:
The slope is 3
Step-by-step explanation:
What is the value of s?
s
880
370
Answer: 37 degrees
Step-by-step explanation:
Vertical angles are congruent.
Find the midpoint M of the line segment joining the points C = (-1, 1) and D = (5, – 7).
=
=
Answer: (2,-3)
Step-by-step explanation:
What is the measure of the angle?
Answer: 50 degrees
Step-by-step explanation:
Determine whether [3x + 12 + x] is equivalent to [4(3 + x)]. Use properties of operations to justify your answer.
Answer:
3x + 12 + x = 4x + 12 becuase 3x and x are like terms so you can add them
4(3 + x) = 12 + 4x because 4 times 3 is 12 and 4 times x is 4x so you add them to get 12 + 4x which can be rearranged to equal 4x + 12
So in short: 3x + 12 +x is equivalent to 4(3+x)
The cost of tuition at a community college is $12,000 per academic year. Alejandro is eligible for $7,500 in financial aid, and he will save money for one year to pay for the rest of his first year of college. What is the minimum amount he needs to save each month? Question 9 options: $375 $450 $750 $600
The minimum amount he needs to save each month in order to be able to pay for his first year of college is $375.
What is the mininum monthly saving?The first step is to determine the total amount he needs to save.
Amount he needs to save = $12,000 - $7500 = $4,500
The second step is to divide $4500 by 12.
4500 / 12 = $375
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Which of the following are solutions to the equation below?
Check all that apply.
4x^2 + 20x + 25 = 49
A. x = -1
B. x = 1
C. x = 6
D. x = -6
E. x = √7-5/2
F. x = -√7-5/2
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's solve the given equation ~
[tex]\qquad \tt \dashrightarrow \:4 {x}^{2} + 20x + 25 = 49[/tex]
[tex]\qquad \tt \dashrightarrow \:4 {x}^{2} + 20x + 25 - 49 = 0[/tex]
[tex]\qquad \tt \dashrightarrow \:4 {x}^{2} + 20x - 24 = 0[/tex]
[tex]\qquad \tt \dashrightarrow \:4( {x}^{2} + 5x - 6) = 0[/tex]
[tex]\qquad \tt \dashrightarrow \: {x}^{2} + 5x - 6 = 0[/tex]
[tex]\qquad \tt \dashrightarrow \: {x}^{2} + 6x - x - 6 = 0[/tex]
[tex]\qquad \tt \dashrightarrow \:x(x + 6) - 1(x + 6) = 0[/tex]
[tex]\qquad \tt \dashrightarrow \:(x + 6)(x - 1) = 0[/tex]
Hence, we get -6 and 1 as our roots ~
So, the correct choices are : B and D