Answer:
(4,6)-(-2,-1)
Step-by-step explanation:
The following are all 5 quiz scores of a student in a statistics course. Each quiz was graded on a 10-point scale.
6,6, 5, 8, 10
Assuming that these scores constitute an entire population, find the standard deviation of the population. Round your answer to two decimal places.
Answer:
2
Step-by-step explanation:
Given: 5 quiz scores of a student in a statistics course are 6,6, 5, 8, 10
To find: standard deviation of the population
Solution:
Mean (M) = [tex]\frac{\sum_{i=1}^{n}x_i}{n}[/tex]
here, [tex]x_i[/tex] denotes number of observations and n denotes number of observations.
Variance = [tex]\frac{\sum_{i=1}^{n}(x_i-M)^2}{n-1}[/tex]
Standard deviation = [tex]\sqrt{variance}[/tex]
[tex]M=\frac{6+6+5+8+10}{5}=\frac{35}{5}=7[/tex]
Variance = [tex]\frac{\sum_{i=1}^{n}(x_i-7)^2}{n-1}[/tex]
[tex]=\frac{\left [ (6-7)^2+(6-7)^2+(5-7)^2+(8-7)^2+(10-7)^2 \right ]}{5-1}\\=\frac{1+1+4+1+9}{4}\\=\frac{16}{4}\\=4[/tex]
Standard deviation = [tex]\sqrt{4}=2[/tex]
A circle has a diameter of 12 units what could be the equation of the circle? Check all that apply
Answer: The correct options are
(B) (x-6)^2+y^2=36,
(D) (x+6)^2+y^2=36.
Giving brainliest for CORRECT awnser. Check ALL that apply.
Answer:
C
D
Step-by-step explanation:
C. It is in quadrant I and III
D. It is a hyperbola
QUICK QUESTION!!WILL GIVE BRAINLIEST
If you pay bus fair for the year ahead , what advantages can I get out of the bus fair, like can I use it to get to other places??
Answer:
it matters were you are going
Step-by-step explanation:
6x - y = 5
3x + y = 4
Answer:
1.6x-y=5--->equ.(i)
3x+4=y--->equ.(ii)
substitution method
6x-y=5
y=5+6x--->equ (iii)
Replace y=5+6x into equ--->(ii)
3x-5+6x=4
3x+6x=4+5
9x=9
divide both side by 9
9x/9=9/9
x=1
Replace x=1 into equ (iii)
6(1)-y=5
6-y=5
y=5+6
y=11
then your x and y is
x=1,y=11
Solve
x^2-4=77
E2020
Answer:
Step-by-step explanation:
Answer:
x = 9 or x = -9
Step-by-step explanation:
x² - 4 = 77
then
x² - 4 + 4 = 77 + 4
then
x² = 81
then
x² - 81 = 0
then
x² - 9² = 0
then
(x - 9)(x + 9) = 0
then
x - 9 = 0 or x + 9 = 0
then
x = 9 or x = -9
__________________________
:)
Solve tan x/3 = 1.
Answer:
3π/4 radians
Step-by-step explanation:
arctan(tan(x/3))=1
x/3=π/4 rad
x = 3π/4 radians
Write the equation of the circle graphed below
Answer:
O
Step-by-step explanation:
THIS IS ASSUMING THAT THE RADIUS OF THE CIRCLE IS 4 1/4 UNITS!
Answer:
Standard Equation: (x + 5)^2 + (y+5)^2 = 18.06
General Form: x^2 + 10x + y^2 + 10y + 31.94 = 0
What is the combined probability of getting a heads when flipping a coin and
an odd number when spinning a spinner with 4 equal parts numbered 1 to 4?
OA)
B)
ANNI -
o
100
Answer:
25%
Step-by-step explanation:
50% x 50%
Answer:
A. 1/5
Step-by-step explanation:
got on edge
Calculate the missing amounts for companies a to e
Answer:
where is the question?
Step-by-step explanation:
PLEASE HELP ME with an explanation. Thanks in advance
Answer:
Option 3.
Step-by-step explanation:
Let T=Total, B=Brother and S=Sister. By using given diagram, we get
[tex]n(B)=28+68=96[/tex]
[tex]n(S)=82+68=150[/tex]
[tex]n(T)=28+68+82+52=230[/tex]
[tex]n(B\cap S)=68[/tex]
Using this information, we get
[tex]P(B)=\dfrac{n(B)}{n(T)}=\dfrac{96}{230}\approx 0.42[/tex]
[tex]P(S)=\dfrac{n(S)}{n(T)}=\dfrac{150}{230}\approx 0.65[/tex]
[tex]P(S|B)=\dfrac{P(B\cap S)}{P(B)}=\dfrac{n(B\cap S)}{n(B)}=\dfrac{68}{96}\approx 0.71[/tex]
[tex]P(B|S)=\dfrac{P(B\cap S)}{P(S)}=\dfrac{n(B\cap S)}{n(S)}=\dfrac{68}{150}\approx 0.45[/tex]
The probability P(S|B) has the largest value.
Therefore, the correct option is 3.
Estimate the difference. 9 1/2- 1 6/7
Answer:
[tex] = 7 \frac{9}{14} \\ [/tex]
Step-by-step explanation:
[tex]9 \frac{1}{2} - 1 \frac{6}{7} \\ \frac{19}{2} - \frac{13}{7} \\ \frac{133 - 26}{14} \\ = \frac{107}{14} \\ = 7 \frac{9}{14} [/tex]
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What is the perimeter of rectangle JKLM with vertices J(-1,3),K(2,3),L(2,-5), and M(-1,-5)
Answer:
And we can find the distance between JK like this:
[tex] d_{JK} =\sqrt{(3-3)^2 +(2+1)^2}= 3[/tex]
And we can do something similar for KL and we got:
[tex] d_{KL} =\sqrt{(-5-3)^2 +(2-2)^2}= 8[/tex]
And we can do something similar for LM and we got:
[tex] d_{LM} =\sqrt{(-5+5)^2 +(-1-2)^2}= 3[/tex]
And we can do something similar for MJ and we got:
[tex] d_{MJ} =\sqrt{(-5-3)^2 +(-1+1)^2}= 8[/tex]
And the perimeter would be:
[tex] P = d_{JK} + d_{KL} +d_{LM} +d_{MJ} = 3+8+3+8 =22[/tex]
Step-by-step explanation:
For this case we can use the formula for the euclidean distance given by:
[tex] d = \sqrt{(y_2 -y_1)^2 +(x_2 -x_1)^2}[/tex]
And we can find the distance between JK like this:
[tex] d_{JK} =\sqrt{(3-3)^2 +(2+1)^2}= 3[/tex]
And we can do something similar for KL and we got:
[tex] d_{KL} =\sqrt{(-5-3)^2 +(2-2)^2}= 8[/tex]
And we can do something similar for LM and we got:
[tex] d_{LM} =\sqrt{(-5+5)^2 +(-1-2)^2}= 3[/tex]
And we can do something similar for MJ and we got:
[tex] d_{MJ} =\sqrt{(-5-3)^2 +(-1+1)^2}= 8[/tex]
And the perimeter would be:
[tex] P = d_{JK} + d_{KL} +d_{LM} +d_{MJ} = 3+8+3+8 =22[/tex]
The perimeter of the rectangle with the given vertices is: 22 units.
Recall:
Perimeter of a rectangle = 2(length x width)Distance between two vertices is calculated using: [tex]d = \sqrt{(y_2 - y_1)^2 + (x_2 - x_1)^2}[/tex]Thus, find the length (JK) and width (KL) of the rectangle.
Width of rectangle = distance between J(-1,3) and K(2,3):
Substitute[tex]JK = \sqrt{(3 - 3)^2 + (2 - (-1))^2} \\\\JK = \sqrt{(0)^2 + (3)^2} \\\\JK = \sqrt{9} \\\\JK = 3[/tex]
Length of rectangle = distance between K(2,3) and L(2,-5)
Substitute[tex]KL = \sqrt{(-5 - 3)^2 + (2 - 2)^2} \\\\KL = \sqrt{(-8)^2 + (0)^2} \\\\KL = \sqrt{64} \\\\KL = 8[/tex]
Perimeter of the rectangle = 2(length x width)
SubstitutePerimeter of the rectangle = 2(8 + 3)
Perimeter = 2(11)
Perimeter = 22 units
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A radio disc jockey has 7 songs on this upcoming hour's playlist: 3 are rock songs, 2 are reggae songs, and 2 are country songs. The disc jockey randomly chooses the first song to play, and then she randomly chooses the second song from the remaining ones. What is the probability that both songs are reggae songs? Write your answer as a fraction in simplest form.
Answer:
1/21
Step-by-step explanation:
Total: 7
P(reggae and reggae)
= 2/7 × (2-1)/(7-1)
= 2/7 × 1/6
= 1/21
What is the value of h?
40°
h = 20
h = 35
n = 55
h = 70
Answer:
55
Step-by-step explanation:
All triangles have a sum of 180°
180 - 40 = 140
Since the triangle is an isosceles triangle, then you are going to divide 140 by 2 because the base angles of an isosceles triangle are congruent.
140 / 2 = 70
Now that we know that the measurement of the two base angles is 70, we can find h.
2h represents the exterior angles. Exterior angles are always supplementary to the interior angles. So, we can simply subtract 70 from 180.
180 - 70 = 110
Now, we can divide 110 by 2 to find h.
110 / 2 = 55
So, h equals 55. So, the answer is the third option.
What’s the correct answer for this?
Answer: false
Step-by-step explanation:
Answer:
false
Step-by-step explanation:
unless u used a ruler nothing would find it out
HOPE THIS HELPS
What’s the correct answer for this?
Answer:
C = √137
Step-by-step explanation:
In the attached file
The expression 2362 x 1= 2362 is true because of what property
Answer:
The multiplication property of 1
Step-by-step explanation:
Any number that multiplied by one gives the number
4. A circle has a circumference of 100 cm. What is the radius of the circle?
A 10
B. 15
C. 100
D200
Answer:
[tex]15.90cm[/tex]
hope this helps
brainliest appreciated!
good luck! have a nice day!
PLEASEEE HELPP MEE WITH QUESTION 4 AND 5
Answer:
4) c = 38
5) x = 50
Step-by-step explanation:
4) The marked angles are a "linear pair", meaning their total is 180°:
3c° +(2c -10)° = 180°
5c = 190 . . . . . . . divide by °, add 10, collect terms
c = 38 . . . . . . . . . divide by 5
__
5) The interior angle at C brings the total of the marked angle and the interior angle to 360°
330° + (interior angle) = 360°
(interior angle) = 30° . . . . . . . . . subtract 330°
The interior angles of the triangle total 180°, so we have ...
x° +2x° +30° = 180°
3x = 150 . . . . . . . . . . . . . divide by °, subtract 30
x = 50 . . . . . . . . . divide by 3
whats the answer for G over 13 equals 52
Answer:
g = 676
Step-by-step explanation:
Multiply by 13:
g/13 = 52
13(g/13) = 13(52)
g = 676
What is the length of line segment AB, rounded to the
nearest tenth?
3.4 cm
O 4.8 cm
24 cm
0 27 cm
Answer:
A on e2020
Step-by-step explanation:
The solution is, The length of line segment AB is 3.4cm.
What is Line segment?Line segment is the part of line which have two endpoint and bounded by two distinct end points and it contain every point on the line which is between its endpoint.
here, we have,
The area of octagon is given as 2a^2(1+sqrt{2})
Where a is the side of octagaon.
All sides of octagon are same.
now, we get,
As, 2a^2(1+sqrt{2}) = 54cm
so, we have,
Then, a^2 = 54/2(1+sqrt{2})
a^2 = 54/4.828
a^2 = 11.19
a = 3.4 cm
Hence, The solution is, The length of line segment AB is 3.4cm.
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when you multiply my digits, the product is 20. When you add my digits the sum is a square number. What number am i
Answer:5 and 4
Step-by-step explanation:
5*4=20
5+4=9 which is a square number
What is the height of a cylinder with a volume of 315 pi cubic meters and a radius of 6 meters?
a
12.25 meters
b
52.5 meters
c
8.75 meters
d
26.25 meters
Answer:
The answer is c because I just took the quiz.
Step-by-step explanation:
Your welcome!
What is the product?
5/
3
23
42
52
4
54
5
44
Answer:
5,10,15,20,25,30,25,40,45,50,55,
Step-by-step explanation:
how many numbers do y’all see? add them all together- once u have found them all.
Answer:
24
Step-by-step explanation:
6+2+0+4+1+3+8=24
All the numbers to see are, 6, 8, 0, 2, 4, 1.
And, The sum of all the numbers are 21.
What is Addition?The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.
Here,
In the figure,
All the numbers which can be seen are,
⇒ 6, 8, 0, 2, 4, 1
Now, Add all the numbers, we get;
⇒ 6 + 8 + 0 + 2 + 4 + 1
⇒ 21
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Last Thursday was costume day at Emmet's school. 108 out of the 120 students at the school wore a costume. What percentage of the students wore a costume?
Answer:
90%
Step-by-step explanation:
100%=120 pupils
108pupils
108 x 100= 10800/120=90 %
4(5x + 3y) equal expressions
Answer:
20x + 12y
Step-by-step explanation:
Apply distributive property.
(4 * 5x) + (4 * 3y)
=> (20x) + (12y)
Answer:
=(4)(5x+3y)
=(4)(5x)+(4)(3y)
=20x+12y
Step-by-step explanation:
=(4)(5x+3y)
=(4)(5x)+(4)(3y)
=20x+12y
Answers above.
Hope this helps.
Prove
sec2x - tan2x = tan(45-x)
Pls Help!!!TQ
Step-by-step explanation:
sec(2x) − tan(2x)
Write in terms of sine and cosine:
1/cos(2x) − sin(2x)/cos(2x)
(1 − sin(2x)) / cos(2x)
Use double angle formulas:
[ 1 − 2 tan x / (1 + tan²x) ] / [ (1 − tan²x) / (1 + tan²x) ]
Multiply by reciprocal:
[ 1 − 2 tan x / (1 + tan²x) ] × [ (1 + tan²x) / (1 − tan²x) ]
Distribute 1 + tan²x:
(1 + tan²x − 2 tan x) / (1 − tan²x)
Factor:
(1 − tan x)² / ((1 − tan x) (1 + tan x))
Simplify:
(1 − tan x) / (1 + tan x)
Rewrite using 1 = tan(45°):
(tan(45°) − tan x) / (tan(45°) + tan x)
Use angle difference formula:
tan(45° − x)
What is the missing angle of the blue triangle using A^2 + B^2 = C^2
Answer:
45° 45° 90°
Step-by-step explanation:
The whole figure is a rectangle, so the blue triangle is right. It is isosceles, so the angles are 45° 45° 90°