Answer:
B, CStep-by-step explanation:
The Mean Absoute Deviation is the measure of variability of the data set.
The greater the MAD the more spread the data.
Answer choicesA)The lengths of the snakes in the exhibit vary more than the lengths of the lizards.
Incorrect, as 6.2 < 8.2B) On average, the length of each snake is about 6.2 inches away from 37.2 inches.
Correct, as per Table A 37.2 ± 6.2C) The lengths of the lizards in the exhibit vary more than the lengths of the snakes.
Correct, as 8.2 > 6.2D) On average, the length of each lizard is about 10 inches away from 13.8 inches.
Incorrect, as per Table Bthe MAD is 8.2 not 10Which of the following sets of numbers could represent the three sides of a triangle?
{6,18,24}
{5,16,22}
{11, 17, 27}
{ 8, 15, 24}
{11, 17, 27}
============================================================
Explanation:
Let's go through the answer choices.
A) This won't work because 6+18 = 24 which is not larger than the third side 24. The sum of any two sides must be larger than the other side. Refer to the triangle inequality theorem.B) 5+16 = 21 is not larger than 22, so we rule this out as well.C) We'll come back to this laterD) We rule this out because 8+15 = 23 is not larger than 24.Now return back to choice C. Notice how adding any two sides leads to a sum larger than the third side
11+17 = 28 is larger than 2711+27 = 38 is larger than 1717+27 = 44 is larger than 11The three conditions of the triangle inequality theorem are met, so a triangle is possible for choice C.
Determine an exact value for sin _
3π/4-tan 5π/6
Answer:
[tex]\frac{3\sqrt{2}+2\sqrt{3}}{6}[/tex] or [tex]\frac{\sqrt{2}}{2}+\frac{\sqrt{3}}{3}[/tex]
Step-by-step explanation:
[tex]\sin\frac{3\pi}{4}-\tan\frac{5\pi}{6}\\\\\sin\frac{3\pi}{4}-\frac{\sin\frac{5\pi}{6}}{\cos\frac{5\pi}{6}}\\ \\\frac{\sqrt{2}}{2}-\frac{\frac{1}{2} }{-\frac{\sqrt{3}}{2}}\\ \\\frac{\sqrt{2}}{2}+\frac{1}{\sqrt{3}}\\ \\\frac{\sqrt{2}}{2}+\frac{\sqrt{3}}{3}\\ \\\frac{3\sqrt{2}}{6}+\frac{2\sqrt{3}}{6}\\ \\\frac{3\sqrt{2}+2\sqrt{3}}{6}[/tex]
Since the sample size is always smaller than the size of the population, the sample mean a. must be larger than the population mean b. can be smaller, larger, or equal to the population mean c. must be equal to the population mean d. must always be smaller than the population mean
Using the mean concept, it is found that the correct option regarding the sample mean is given by:
b. can be smaller, larger, or equal to the population mean.
What is the mean?The mean of a data-set is given by the sum of all observations in the data-set divided by the number of observations.
No matter the population mean, the sample mean is calculated as stated above, having no restrictions about it's value, hence option b is correct.
More can be learned about the mean concept at https://brainly.com/question/24628525
#SPJ1
What is the range of the polynomial y = 3x3 - 3x2 - 3x + 8 in interval notation?
Answer:
(-∞,∞)
Step-by-step explanation:
A colony of 100 bacteria doubles in size every 60 hours what will the population be 180 hours from now
Answer:
20 hours thank you very muchSam paid a total of $750 for 10 tickets to a football game. The money is taken from his bank account.
Which expression represents the dollar amount that was taken from Sam's bank account.
Answer:$740
Step-by-step explanation: subtract 750 - 10 and there’s your answer look where it says “The money is taken from his bank account” that’s how you know you should subtract by the word take. Hope this helps
What is the total number of digits you need to number the pages of a book that has 1450 pages?
Answer: pages 1-1,450
pages 1-9 = 9 digits
pages 10-99 = 90*2 = 180 digits
pages 100-999 = 900*3 = 2,700 digits
pages 1000-1450 = 451*4 = 1,804 digits
sum = 4,693 digits
Please help me I’m not sure how to answer this problem
Answer:
12/13
Step-by-step explanation:
P(not a queen) = 48/52 = 12/13
Answer:
48/52
Step-by-step explanation:
Out of a 52 card deck there are 4 queens
there is a 48/52 propability you will not be drawn a queen or 92.31% you will not be drawn a queen
Please help me with these, first to answer receives 5 stars if correct and probably BRAINLIEST! The following are daily high temperatures (℉) in Auckland, New Zealand:
75 67 83 90 79 74 70 71 72 78 76 67 66 80 77 77 84 74
1. Using the data above, make a stem-and-leaf plot. (4 points)
2. Using the data above, make a box-and-whisker plot. If the set has outliers, use an * to show
them.
Answer:
6 6, 7, 7
7 0, 1, 2, 4, 4, 5, 6, 7, 7, 8
8 0, 3
9 0
Step-by-step explanation:
If you don't know how to make a stem and leaf plots this how. First you will draw a T-chart then you put the first integer or 10th place number on the left and the ones place number on the right.
Can you do number 1 for me
Answer:
c. 3/5
Step-by-step explanation:
Please help me ASAP I’ll mark brainly
Answer: 7
Step-by-step explanation:
HURRY PLS WILL MARK BRAINLIEST, Find an equation in slope intercept form of the line that has two slope and passes through points A [9, -2 ]
Answer:
D
Step-by-step explanation:
sub in the x value and if its equal to -2 its on that line
Order of Operations
40 + (1 + 2) - 2
3[16 - (2 + 5)]^2
100-50/100-3(2+3)^2
Answer:
41, 243, 2
Step-by-step explanation:
40 + (1 + 2) - 2
=41
3[16 - (2 + 5)]^2
=243
100-50/100-3(2+3)^2
=2
Which fractions are equivalent to 5/8?
Select each correct answer.
20/32
25/64
10/16
50/80
10/13
If the odds against an event are 5:8, then the probability that the event will fail to occur is
Answer:
Step-by-step explanation:
5/8
Odds against event are 5:8
Means ration of not happening of work =
5/8
Sample space has 8+5=13 possibilities
Probability it being to work=
8/13
i need help with this
Answer:
Step-by-step explanation:
Circumference is given by the formulas :
[tex]2\pi r[/tex] or [tex]\pi d[/tex]
Since we are given the diameter we can use the second one :
We are told to use 3.14 for π :
C = (3.14)×(16)
C = 50.24
Area of a circle is given by the formula:
[tex]\pi r^{2}[/tex]
To work out r we simply half the diamter:
16÷2 = 8
Now we put this into the area formula:
π(8)² = 64π
We are told to use 3.14 as pi so:
64π = 64×3.14 = 200.96
Answer:
Circumference = 50.24 in
Area = 200.96 in²
Step-by-step explanation:
First, let us find the circumference of the circle.
For that, let us use this formula.
C = π d
Given that,
d ⇒ diameter ⇒ 16 in
Let us find now.
C = π d
C = 3.14 × 16
C = 50.24 in
And now let us find the area of the circle.
Before that, let us find the radius.
d = 2r
16 = 2r
Divide both sides by 2.
8 in ⇒ radius
Let us use the below formula to find the area of the circle.
A = π r²
A = 3.14 × 8 × 8
A = 200.96 in²
PLEASE RESPOND FAST FOR BRAINLIEST.
Data Set 1 has a mean of 173.5 and a MAD of 3.9.
Data Set 2 has a mean of 161.2 and a MAD of 4.1.
What can be concluded about the two distributions?
Select each correct answer.
The means-to-MAD ratio is 3.
The distributions are different.
The means-to-MAD ratio is 4.
The distributions are somewhat similar.
Answer:
Option D, The distributions are somewhat similar
Step-by-step explanation:
Step 1: Determine the means-to-MAD ratio
Data Set 1 → Mean = 173.5, MAD = 3.9
Data Set 2 → Mean = 161.2, MAD = 4.1
[tex]Ratio = \frac{Mean\ of\ 2 - Mean\ of\ 1}{MAD\ of\ 2 - MAD\ of\ 1}[/tex]
[tex]Ratio = \frac{161.2 - 173.5}{4.1 - 3.9}[/tex]
[tex]Ratio = \frac{-12.3|}{0.2}[/tex]
[tex]Ratio = -61.5[/tex]
Step 2: Determine if the distributions are similar or not
Since the MAD of set 2 is somewhat similar to MAD of set 1, the distributions are somewhat similar.
Answer: Option D, The distributions are somewhat similar
Help Me on this!!
[tex] \: \: \: [/tex]
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Here's the solution~
Standard equation of a circle is represented as :
[tex]\qquad \sf \dashrightarrow \:(x - h) {}^{2} + (y - k) {}^{2} = r {}^{2} [/tex]
where,
h = x - coordinate of center k = y - coordinate of centerradius = diameter/2 = [tex]4\sqrt{3}[/tex]Now, let's plug in the values to find the required equation of circle ~
[tex]\qquad \sf \dashrightarrow \:(x - 8) {}^{2} + (y - ( - 10)) {}^{2} = (4\sqrt{3} ) {}^{2} [/tex]
[tex]\qquad \sf \dashrightarrow \:(x - 8) {}^{2} + (y + 10) {}^{2} = 16 \times 3[/tex]
[tex]\qquad \sf \dashrightarrow \:(x - 8) {}^{2} + (y + 10) {}^{2} = 48[/tex]
The equation of given circle with centre C ( 8 , - 10 ) and diameter ( 8√3 ) is x² + y² - 16x + 20y + 116 = 0
[tex]\quad\rule{300pt}{1pt}\quad [/tex]
Solution:The standard equation of Circle is given by :
[tex] {\pmb{\sf {\longrightarrow r^2 = (x-h)^2 +( y-k)^2}} }[/tex]
This is the standard form of the equation. Thus if we know the coordinates of center of the circle and it's radius, we can easily find its equation
Here, in this question we are given that the centre C is ( 8 , -10 ) and diameter 8√3.
[tex] \longrightarrow[/tex]h = 8
[tex] \longrightarrow[/tex] k = - 10
[tex] \longrightarrow[/tex] r = [tex] \sf{\dfrac{diameter}{2}}[/tex]
[tex] \longrightarrow[/tex] r = [tex] \sf 4\sqrt{3}[/tex]
[tex] \qquad\qquad\rule{250pt}{1pt}\qquad[/tex]
On putting the values in the formula :
[tex] \sf{:\implies \qquad r^2 = (x-h)^2+ ( y-k)^2 }[/tex]
[tex] \sf{:\implies \qquad (4\sqrt{3})^2 = ( x-8)^2 +(y-(-10))^2 }[/tex]
[tex] \sf{:\implies \qquad (4)^2.(\sqrt{3})^2=(x-8)^2+(y+10)^2}[/tex]
[tex] \sf{:\implies \qquad 16\times 3 =( x^2 + 8^2 -2\times x \times 8 ) + ( y^2 + 10^2 + 2\times y \times 10 )}[/tex]
[tex] \sf{:\implies \qquad 48 = x^2 + y^2 - 16x + y^2 + 100 + 20y }[/tex]
[tex] \sf{:\implies \qquad 48 = x^2 + y^2 -16 x + 20y + 100 + 64 }[/tex]
[tex] \sf{:\implies \qquad 48 = x^2 +y^2 -16x +20y +164}[/tex]
[tex] \sf{:\implies \qquad x^2 + y^2 -16x +20y +164 - 48 = 0}[/tex]
[tex] \sf{:\implies \qquad{\boxed{ \sf x^2 + y^2 -16x + 20y +116 = 0 }}}[/tex]
ㅤㅤㅤㅤ~Hence, the required equation of Circle is x² + y² - 10x + 20y + 116 = 0
Four identical circles are lined up in a row with no
gaps between them such that the diameters for a
segment that is 68 centimeters long. What is the
combined area of all the circles to the nearest
hundredth? Use 3.14 for Pi
Answer: 907.46
Step-by-step explanation:
Simplify the expression.
Answer:
the answer is
[tex] \frac{12 {c}^{8} }{ {d}^{2} } [/tex]
Step-by-step explanation:
[tex] \frac{12}{ {c}^{ - 8} {d}^{2} } [/tex]
Tory is going to the fair with four of her friends. The entrance fee per person is $7.50. They plan to go together on all the rides. The cost of each ride is $3.00. Write an expression to represent the cost of the group to go to the fair for any number of rides.
Answer:
$37.5+$3r
Step-by-step explanation:
We can assume that the number of rides is r. Since each ride is $3.00, all rides are $3r ($3xr).
We also know that there are FIVE people going to the fair, with Tory being one and each of her friends. Since the entrance fee is 7.50, we can do 7.50x5 which is $37.5.
Then, you can add it which is $37.5+$3r
what digit is in the ten thousand place in 796,142 what is the answer
Answer:
9
Step-by-step explanation:
700,000
90,000
6,000
100
40
2
Answer:
9
Step-by-step explanation:
796,142
100000 10000 1000 100 10 1
What is the sum of the infinite geometric series? −5+2−4/5+8/25−16/125...
Answer:
-25/7
Step-by-step explanation:
The sum of an infinite series with first term 'a' and common ratio 'r' is ...
S = a/(1 -r)
Your series has a=-5 and r=-2/5, so the sum is ...
S = (-5)/(1 -(-2/5)) = -5/(7/5) = -25/7
The sum of the series is -25/7.
66 is 8-% of what number?
4
Find (g•f)(3)
f(x) = |x + 2|
g(x)=-x^2
Answer:
-25
Step-by-step explanation:
This question is asking for a composite function.
Let's take this step-by-step!
[tex]f(x) = |x + 2|\\g(x) = -x^2[/tex]
(g•f)(3) means [tex]g(f(3))[/tex]
In English, this means we put 3 into f(x), and use the result for g(x).
First let's do f(x):
[tex]f(3) = |3 + 2| = |5| = 5[/tex]
The lines mean "modulus"/"absolute value" which makes any number positive
For example,
[tex]|-3| = 3[/tex]
[tex]f(3) = 5\\g(f(3)) = g(5)\\g(5) = -(5)^2 = -25[/tex]
PLEASE HELP ILL GIVE FIVE STARS AND MARK BRAINLIEST
Ray is x years old. His brother Ron is y years older than Ray.
How old was Ray 3 years ago?
Ray is [tex]x[/tex] years old.
Ron is [tex]y[/tex] years old.
In 2 years, Ron will be two years older than now, so [tex]x+y+2[/tex] years old.
I dont know how to answer this
Answer:
sorry the image isnt clear
Answer:
Can you post it again but clearer
Which shapes show equivalent fractions?
A.shapes A and B
B.shapes A and C
C.shapes B and C
D.shapes C and D
Find the value of x, if C is on line AE
Answer:
x = 11°
Step-by-step explanation:
Linear Pair
Two angles adjacent to each other that form a straight line.
The sum of angles of a linear pair is always equal to 180°.
⇒ m∠C = 180° - 33° = 147°
Alternate Interior Angle Theorem
When two parallel lines are cut by a transversal, the alternate interior angles are congruent.
From inspection of the diagram, we can see that AB ║ DC.
Therefore, AE is the transversal.
So m∠A = 33°
Sum of interior angles of a triangle is 180°
Therefore, the top angle of the triangle = 180° - m∠A - 2x
= 180° - 33° - 2x
= 147° - 2x
Angles around a point add up to 360°
⇒ 33° + m∠C + 5x + (147° - 2x) = 360°
⇒ 33° + 147° + 5x + 147° - 2x = 360°
⇒ 327° + 3x = 360°
⇒ 3x = 33°
⇒ x = 11°
Answer:
x = 11°
Explanation:
m∠C = m∠A = 33°m∠B = 2(x)m∠I = 180° - 5(x)============ [ total interior angle in a triangle is 180° ]
solve for x
33° + 2(x) + 180° - 5(x) = 180°-3(x) = 180° - 213°-3(x) = -33°x = 11°The dimensions of a hexagon shaped bedroom are apothem = 5 and side length = 11. Find the area of the bedroom on the floor plan.
Answer:
165
Step-by-step explanation:
area of a hexagon = 1/2 × apothem × perimeter
to find the perimeter of a hexagon we simply multiply the side length by 6 ( because there are 6 sides in a hexagon )
given side length = 11
so perimeter = 6 × 11 = 66
now to find area
remember area = 1/2 × apothem × perimeter
given apothem = 5 and perimeter = 66
so area = 1/2 × 5 × 66
1/2 × 5 = 2.5
2.5 × 66 = 165