The standard deviation of the dataset is the square root of the variance
The mean and the standard deviation of the dataset are 24.6 and 5.70, respectively
How to determine the mean?The dataset is given as;
25, 24, 32, 16, 22, 34. 19. 27, 18, 29
Calculate the mean using:
μ = Sum/Count
So, we have:
μ = (25+ 24+ 32+ 16+ 22+ 34+ 19+ 27+ 18+ 29)/10
Evaluate
μ = 24.6
How to determine the standard deviation?The standard deviation is then calculated using:
[tex]\sigma =\sqrt{ \frac{\sum(x - \mu)^2}{n}[/tex]
So, we have:
[tex]\sigma = \sqrt{\frac{(25 - 24.6)^2 + .................. + (27- 24.6)^2 + (18- 24.6)^2 + (29- 24.6)^2}{10}}[/tex]
Evaluate
[tex]\sigma = \sqrt{32.44}[/tex]
Evaluate the square root
[tex]\sigma = 5.70[/tex]
Hence, the mean and the standard deviation of the dataset are 24.6 and 5.70, respectively
Read more about variance at:
https://brainly.com/question/15858152
Question is in the picture below, please help.
Answer:
A)6 cm B)32 inch
Step-by-step explanation:
A)1 cm:8 inch
(1×6)cm:(8×6)inch
Thus, if the height is 48 inch, the scale in cm is 6 cm
B)Normal linear form
The length=4cm
(1×4) cm:(8×4) inch
Thus, if the scale length is 4 cm, the real painting length will be 32 inch
ASAP Pllease Giving 20 points
Answer:
20, 22 and 24
Step-by-step explanation:
18 / 3/4
18 x (4/3)
18 x 1.3333
23.9
≅ 24
So if its ≅ 24, it means the answer is 24 and below. Therefore the three answers are 20, 22 and 24.
My sister needs help again quick
mistake: the storm trooper used the wrong order of solving the problem, you first do × and : and then + and -
correct answer:
6×7-16:4
= 42-4
= 38
Select the correct answer.
Which statement is always true?
A.
A cross section parallel to the base of a right rectangular prism is a square.
B.
A cross section perpendicular to the base of a right rectangular prism is congruent to the base.
C.
A cross section parallel to the base of a right rectangular prism is congruent to the base.
D.
A cross section perpendicular to the base of a right rectangular prism has the same dimensions as the base.
Answer: C. A cross section parallel to the base of a right rectangular prism is congruent to the base.
Step-by-step explanation: Cross sections that are parallel to the base will give the shape of the base. That means that when you do a cross section that's parallel to the base, you're making a horizontal line that goes left to right that is the same as the base. Therefore, C is your answer.
Let me know if this is right! :)
this really hard for me so if you could leave a explanation that would be great.
Answer: The answer is B and C.
Step-by-step explanation: Answer the main question and write down the answer then check each choice and see which one matches the answer you wrote down.
FIND THE AREA OF THE FIGURE BELOW
Answer:
220 squared units
Step-by-step explanation:
first, find the area of the rectangle by multiplying 8 by 20. Then, fin the area of the triangle by multiplying 6 by 20 and then dividing the result by 2.
8*20=160
6*20=120
120/2=60
Finally, add them together and you get 220 units squared.
what is the area of a rectangle that has a length of 4.5 centimeters and width of 3.25 centimeters? use the formula A=l*w
Given the values for the length and width of the rectangle, area of the rectangle is 16.625 square centimeter.
What is a Rectangle?A rectangle simply a is a 2-dimentional shape in geometry with 2 equal opposite sides and 4 corners each at 90 degrees.
The area of a rectangle is;
A = Length × Width
A = L × W
Given the data in the question;
Length of the rectangle L = 4.5cmWidth of the rectangle W = 3.25cmArea A = ?To determine the area of the retcangle, we substitute our given values into the expression above.
A = L × W
A = 4.5cm × 3.25cm
A = 16.625cm²
Therefore, the area of the rectangle with the given length and width is 16.625cm².
Learn more about area of rectangle here: https://brainly.com/question/12019874
A baker mixes 8\frac{3}{4}8
4
3
cups of white flour with 2\frac{1}{2}2
2
1
cups of rye flour for a bread recipe.
How many cups of white flour does the baker mix for every 11 cup of rye flour?
Fractions are written as the ratio of two integers. 3 1/7 cups white flour will be needed for every 11 cup of rye flour
Ratio and proportionFractions are written as the ratio of two integers. If a baker mixes 8 3/4 cups of white flour with 2 1/2 cups of rye, the number of cups of rye needed for 1 cup ofwhile flour will be:
For 1 cup of flour = (2 1/2)/(8 3/4)
For 1 cup of flour = (5/2)/(35/4)
For 1 cup of flour = 5/2 * 4/35
For 1 cup of flour = 2/7 cups of rye
For 11 cups:
For 11 cup of rye flour = 11 * 2/7
11 cup of rye flour = 22/7=3 1/7 cups
Hence 3 1/7 cups white flour will be needed for every 11 cup of rye flour
Learn more on ratio and proportion here:https://brainly.com/question/2914376
Hello! How to sketch the graph?
Answer:
Draw your y and x axis , the y axis is going to be a vertical line while the x axis is going to be a horizontal line
In the figure shown, what is the measure of angle x?
Triangle ABC has measure of angle BAC equal to 40 degrees and the measure of angle ABC is equal to 70 degrees. The side BC of the triangle is extended till D. The angle ACD is labeled as x.
100 degrees
110 degrees
120 degrees
140 degrees
➾Firstly, we will find the measure of [tex]\angle[/tex]ACB.
We know that,
Sum of all interior angles of a triangle = 180°.
[tex]\rightarrow[/tex][tex]\angle[/tex]BAC + [tex]\angle[/tex]ABC + [tex]\angle[/tex]ACB = 180°
[tex]\rightarrow[/tex] 40°+70°+[tex]\angle[/tex]ACB = 180°
[tex]\rightarrow[/tex] 110°+[tex]\angle[/tex]ACB = 180°
[tex]\rightarrow[/tex] [tex]\angle[/tex]ACB = 180°-110°
[tex]\rightarrow[/tex][tex]\angle[/tex]ACB = 70°
So, the measure of [tex]\angle[/tex]ACB = 70°.
➾ Side BC of the triangle is extended till D. So, we have to find the measure of [tex]\angle[/tex] ACD.
As we know that,
Sum of any two or more angles that lie on a straight line = 180°.
So, [tex]\sf\angle{ACB}[/tex]+[tex]\sf\angle{ACD}[/tex] = 180°
[tex]\rightarrow[/tex] 70° + [tex]\sf\angle{ACD}[/tex] = 180°
[tex]\rightarrow[/tex][tex]\sf\angle{ACD}[/tex] = 180°-70°
[tex]\rightarrow[/tex][tex]\sf\angle{ACD}[/tex] = 110°.
Therefore, measure of [tex]\sf\angle{ACD}[/tex] = 110°.
____________________________
Hope it helps you:)
Help! The question is in the image.
Answer:
it is on y axis so that the points are (0,4)&(0,8) on the horizontal angle & it will touch the x axis on (-8&2)
If the smaller pyramid has a surface area of 25.49 ft2, what is the surface area of the larger pyramid? round to the nearest hundredth. ft2
The surface area of the larger pyramid is 159.21 ft²
How to determine the surface area of the larger pyramid?The surface area of the small pyramid is given as:
A = 25.49 ft²
The corresponding sides of the pyramids are:
Small = 6; Large = 15
The surface area of the large pyramid is then calculated using:
Area = A * (Large/Small)²
This gives
Area = 25.49 * (15/6)²
Evaluate
Area = 159.21
Hence, the surface area of the larger pyramid is 159.21 ft²
Read more about surface area at:
https://brainly.com/question/4149680
Answer:
159.31
Step-by-step explanation:
Right on Edge
Find the number that makes the ratio equivalent to 36:81.
4:
Answer:
9
Step-by-step explanation:
9*4 = 36
9*9 = 81
divide both by 9 and you get 4:9
What is the perimeter of 4ft and 8ft
Answer:
24
Step-by-step explanation:
4+4+8+8
8 + `16 = 24
Tess owns a fudge shop in town. She made 3 pounds of fudge and cut it up into 12 equal-sized squares. Tess sells fudge for $2 per pound. A customer bought 5 squares of fudge. How much money did the customer spend?
the customer spent $13 if it's not 13 it's the closest answer too 13
Answer:
$0.85, or 85 cents.
Step-by-step explanation:
To find this, we first need to find out how much it costs for one square. We know it is $2 per pound, and there are twelve squares in each pound. So to find out how much one square costs, we need to divide $2 by 12. We get an answer that is never-ending when we solve this, so we will round to the hundredths place since we are working with money. What we get as a result is that one square costs $0.17.
Now we multiply the above number by five to find out how much the customer spent. This comes out to be $0.85. In total, the customer spent 85 cents for all five squares of the fudge.
X-5y= -3
3x-5y=11
please show work
Answer:
x= -4
Step-by-step explanation:
You need to the elimination method!
x-5y=-3
3x-5y=11
You need to multiply the top by -1
This means every number has to be multiplied by -1 on the x-5y=-3
-x+5y=3
3x-5y=11
The 5y's should cancel out
-x=3
3x=11
Now do -x+3x and 3-11
2x=-8
x= -4
What is the equation of the following line? Be sure to scroll down first to see all answer options.
Answer: D
Step-by-step explanation:
Using the two point slope form with points (0, 0) and (4, -3):
[tex]\frac{y-0}{x-0}=\frac{4-0}{-3-(0)}[/tex]
[tex]\begin{aligned}&\frac{y}{x}=\frac{4}{-3} \\&y=-\frac{3}{4} x\end{aligned}[/tex]
Therefore, D is the correct answer
Answer:
D. y=-3/4x
Step-by-step explanation:
because when doing slope, you have to remember that it goes y/x and the fact that this is a negative slope meaning that you count from point (0,0) to (4,-3), and the lines on the graph count by 2's, so you would be counting down 3 (because point (4,-3) is inbetween -2 and -4) and to the right 4. making the answer -3/4, and it is negative because it is a downward facing slope. oh, and the x is there because it is an ever changing variable (ever continuing)
For PQR, which one is equal to sin(P)?
Answer:
The third option.
[tex]cos(Q)=\frac{RQ}{PQ}[/tex]
Step-by-step explanation:
SIN is opposite over hypotenuse.
COS is adjacent over hypotenuse
Therefore
[tex]sin(P)=\frac{RQ}{PQ}[/tex]
Then we have 4 options.
It is not the first option beacause we can't determine which side is adjacent to the angle.
The second option
[tex]sin(Q)=\frac{RP}{QP}[/tex]
The third option
[tex]cos(Q)=\frac{RQ}{PQ}[/tex]
It is not the fourth option beacause we can't determine which side is opposite to the angle.
Finally we see that
[tex]cos(Q)=\frac{RQ}{PQ}[/tex]
and
[tex]sin(P)=\frac{RQ}{PQ}[/tex]
are equivalent.
can somebody please tell me the awnser
Answer: 50ft I think
Step-by-step explanation: add them all . The length of a line is missing so make 16 minus 6 will give you 10 and add the rest . Please mark brainliest . 4 and 10 and 5 and 6 and 9 and 16 Will give 50 ft only
Ah, yes. Perimeters. Perimeters are found by adding up the lengths of all the sides. But, as stated in the question description, there's one side missing. The way we find it is by subtracting the 6-foot side from the 16-foot side. The way this works is because 1) every corner is a right angle 2) and if that's so, the side with no number and the 6-foot side will add up to equal 16 feet, the same as the side opposite it.
If we subtract 6 from 16, we get 10. So, therefore, the missing side's length is 10 feet.
Now let's add all the sides together.
9 + 6 + 5 + 10 + 4 + 16 = 50
The perimeter of this shape is 50, if my geometry memory serves me correctly.
I hope this answers your question.
-Toremi
Megan played 5 Sudoku games that were at medium
difficulty level. The mean completion time per game
was 5.9 minutes. She completed a sixth Sidoku game
in 2 minutes and 54 seconds. Which of the following
statements must be true about the changes between
Megan's completion times for the 6 games and her
completion times for the 5 games?
A) The mode of the 6 completion times decreased.
B) The median of the 6 completion times remained
the same.
C) The mean completion time per game for the
6 games increased by 2.9 minutes.
D) The mean completion time per game for the
6 games decreased by 30 seconds.
Consider the following polynomial
Step-by-step explanation:
Degree is 6
Leading coefficient is 5
Constant term is 8
How do you know if an equation of a line is a vertical line?
Answer:
similarly,on the graph in vertical line,x only takes value.thus, the equation for a vertical line is x=a,where is a value that x takes.
80 wpm how many words typed while typing 12 hours straight
Answer:
57600 words in 12 hours.
Step-by-step explanation:
80 wpm means 80 words per minute.
We need to know how many minutes are in a 1 hour which is 1 hour is 60 minutes.
We want to know how much words in 12 hours.
Given:
[tex]\frac{80 word}{1 min}, \frac{60 min}{1 hour},\frac{12 hour}{1}[/tex]
[tex]\frac{80 word}{1 min} *\frac{60 min}{1 hour} *\frac{12 hour}{1} =[/tex] 57600 words in 12 hours.
Answer: 57,600
Step-by-step explanation:
80 × 60 = 4800 in 1hr
4800 ×12 = 57, 600 in 12hrs
how to find the area of a circle
A=πr²
where
π -> pi (3.14...)
r - radius
r² means you multiply r times itself
Hope it helps!
Which angles are not supplementary
===============================================================
Explanation:
Choice a) can be ruled out because angles A and D are supplementary. Supplementary angles add to 180 degrees by definition. They form a straight line or straight angle.
Choice b) and choice d) are eliminated for similar reasoning as choice a).
Choice c) is the only thing left. It turns out that angles B and D are not supplementary, but rather they are vertical angles. They are opposite one another in this X shape. Vertical angles are always congruent.
Note: Angles B and D are supplementary if and only if the angles are 90 degrees each.
Rectangular pyramid B is the image of rectangular pyramid A after dilation by a scale factor of 33. If the surface area of rectangular pyramid B is 1215 cm^2
2
, find the surface area of rectangular pyramid A, the preimage.
After dilation by a scale factor of 33, the surface area of rectangular pyramid A, the preimage is 1.12 cm²
To find the area of rectangular pyramid A given rectangular pyramid B, we need to know its scale factor.
What is scale factor?Scale factor is the ratio of the corresponding sides of two objects.
Now, since rectangular pyramid B is the image of rectangular pyramid A, we have that (since we are dealing with areas)
(Scale factor)² = surface area of rectangular pyramid B/surface area of rectangular pyramid A
Surface area of rectangular pyramid ASo, surface area of rectangular pyramid A = surface are of rectangular pyramid B/(scale factor)²
Since
scale factor = 33 and surface area of rectangular pyramid B = 1215 cm²surface area of rectangular pyramid A = surface area of rectangular pyramid B/(scale factor)²
So, substituting the values of the variables into the equation, we have
surface area of rectangular pyramid A = 1215 cm²/33²
= 1215 cm²/1089
= 1.12 cm²
So, after dilation by a scale factor of 33, the surface area of rectangular pyramid A, the preimage is 1.12 cm²
Learn more about scale factor here:
https://brainly.com/question/26467371
express 1.284 in form of p/q
Step-by-step explanation:
1.284=1284/1000
divide both by 4
=321/250
Quickly before the timer runs out
Answer:
47°
Step-by-step explanation:
sum of angles in triangle=180
x + 90 + 43 = 180
x = 180 - 90 - 43
= 47
Hope it helps:)
Expand & simplify
4
(
2
p
+
2
)
+
6
(
2
p
−
3
)
Answer:
The answer is 20p – 10 or 10(2p – 1)
Step-by-step explanation:
4(2p + 2) + 6(2p − 3)
8p + 8 + 12p – 18
20p – 10 or 10(2p – 1)
5. Jane invests $5,000 in a stock that loses 2% per year on average. Eqn:
Answer:
The equation would be 5000(1.02)^x with x representing the amount of years, as the values keep multiplying.
Step-by-step explanation:
please mark brainliest if you can thx <3
Answer:
5000(0.98)^x, with x being the amount of years