Answer:
1) Between 12.5 miles and 21.7 miles.
2) b) 75%
3) c) 95%
4) Between 13.7 miles and 20.5 miles.
Step-by-step explanation:
Empirical Rule:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviations of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
Chebyshev Theorem:
The Chebyshev Theorem can also be applied to non-normal distribution. It states that:
At least 75% of the measures are within 2 standard deviations of the mean.
At least 89% of the measures are within 3 standard deviations of the mean.
An in general terms, the percentage of measures within k standard deviations of the mean is given by [tex]P = 100(1 - \frac{1}{k^{2}})[/tex].
1) According to Chebyshev's theorem, at least 36% of the commute distances lie between miles and miles.
Within k standard deviations of the mean, and k is found when [tex]P = 36[/tex]. So
[tex]P = 100(1 - \frac{1}{k^{2}})[/tex]
[tex]36 = 100 - \frac{100}{k^2}[/tex]
[tex]\frac{100}{k^2} = 64[/tex]
[tex]64k^2 = 100[/tex]
[tex]k^2 = \frac{100}{64}[/tex]
[tex]k = \sqrt{\frac{100}{64}}[/tex]
[tex]k = \frac{10}{8}[/tex]
[tex]k = 1.25[/tex]
Within 1.25 standard deviations of the mean.
1.25*3.7 = 4.6 miles
17.1 - 4.6 = 12.5 miles
17.1 + 4.6 = 21.7 miles
Between 12.5 miles and 21.7 miles.
2) According to Chebyshev's theorem, at least of the commute distances lie between 9.7 miles and 24.5 miles.
17.1 - 9.7 = 24.5 - 17.1 = 7.4 miles, so within 2 standard deviations of the mean, which is 75%, option B.
3) Suppose that the distribution is bell-shaped. According to the empirical rule, approximately of the commute distances lie between 9.7 miles and 24.5 miles.
Within 2 standard deviations of the mean, by the Empirical Rule, which is 95%, option c.
4) Suppose that the distribution is bell-shaped. According to the empirical rule, approximately 68% of the commute distances lie between miles and miles.
Within 1 standard deviation of the mean.
17.1 - 3.4 = 13.7
17.1 + 3.4 = 20.5
Between 13.7 miles and 20.5 miles.
Explain the difference between (-5)squared and -5squared.
Answer:
The major difference between square and rectangle is that a square has all its sides equal whereas a rectangle has its opposite sides equal. In Geometry, we have learnt different types of shapes such as square, rectangle, cube, cone, cylinder, parallelogram, rhombus, and so on.
All these shapes can fall under any one of the categories such as two-dimensional shapes or three-dimensional shapes. All the shapes can share a few characteristics. But they have many different characteristics properties that differentiate the shapes from each other. In this article, let us discuss the difference between a rectangle and a square in detail.
Which is an irrational number Square root of 21 3 5/8 2.4141414 or -13
Answer:
i dont know
Step-by-step explanation:
Find the mean, the median and the mode of 12, 13, 9, 8, 8, 7, 6, 8, 10
Answer:
if I am not mistaken.. the median would be 9 and the the mean is also 9.
Step-by-step explanation:
first you order the numbers from least to greatest and the find with is the middle number to find the median.
6,7,8,8,8,9,10,12,13 (answer: 9)
To find the mean you will add all of the numbers up and then divide that number by the amount of numbers there are.
1) 6+7+8+8+8+9+10+12+13= 81
2) 81 ÷ 9 =9
Answer:
Mean: 9, Median: 8 Mode: 8
Step-by-step explanation:
MEAN: The AVERAGE total of all the values divided by the numbers of values.
6 + 7+ 8 + 8 + 8 + 9 + 10 + 12 + 13 = 81 81/9 (set of #'s)= 9
MEDIAN: The number in the MIDDLE of the list of values.
6, 7, 8, 8, 8, 9, 10, 12, 13 So, the middle value is 8
MODE: The number that appears the most.
6, 7, 8, 8, 8, 9, 10, 12, 13 So, 8 appears 3 times.
Hope this helps!
1. The nominal rate on Sandra's loan is 7.125%. If the interest is compounded monthly, what rate of
interest is Sandra actually paying? (use the formula)
Answer:
She is actually paying a rate of 7.36% of interest.
Step-by-step explanation:
The real interest rate, as a decimal, is given by:
[tex]I = (1 + \frac{r}{n})^{n}[/tex]
In which r is the interest rate and n is the number of compoundings during an year.
The nominal rate on Sandra's loan is 7.125%, compounded monthly:
This means that [tex]r = 0.07125, n = 12[/tex]
So
[tex]I = (1 + \frac{0.07125}{12})^{12} = 1.0736[/tex]
As a percentage: 1.0736*100 = 107.36% - 100% = 7.36%
She is actually paying a rate of 7.36% of interest.
value digit of 468, 204, 459 , 964, 468
Answer:
964 = 4
204 = 4
459 = 400
468 = 400
Question 11
A rectangle with a perimeter of 12 inches is enlarged by a scale factor of 3. What is the perimeter of the enlarged
rectangle?
Answer:
The perimeter of the enlarged rectangle is 36 inches.
Step-by-step explanation:
Perimeter of an enlarged figure:
To find the perimeter of an enlarged figure, we multiply the perimeter of the original figure by the scale factor.
In this question:
Perimeter of the original rectangle: 12 inches
Scale factor: 3
Perimeter of the enlarged rectange:
12*3 = 36 inches
What is the difference, in hours and minutes, between these times?
a)
13 40 and 17 15
hours
minutes
b)
11 25 and 14 10
hours
minutes
c)
2:50 am and 7:20 am
hours
minutes
d)
10:35 am and 2:40 pm
hours
minutes
Answer:
a) 3 hrs 35 mins
b) 2 hrs 45 mins
c) 4 hrs 30 mins
d) 4 hrs 5 mins
Step-by-step explanation:
The difference, in hours and minutes, between these times are;
a) 3 hrs 35 mins
b) 2 hrs 45 mins
c) 4 hrs 30 mins
d) 4 hrs 5 mins
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The difference, in hours and minutes, between these times can be calculated as;
a) 13 40 and 17 15
13 :40 - 17 : 15
= 3 hrs 35 mins
b) 11 :25 and 14: 10
11 :25 - 14: 10
= 2 hrs 45 mins
c) 2:50 am and 7:20 am
2:50 am - 7:20 am
= 4 hrs 30 mins
d) 10:35 am and 2:40 pm
10:35 am - 2:40 pm
= 4 hrs 5 mins
More about the Algebra link is given below.
brainly.com/question/953809
#SPJ2
(I SUCK AT MATHS)
If 15 metres of rope costs £22.50, how much would 12 metres cost?
Answer:
$18
Step-by-step explanation:
22.50×15=1.50
1.50×12=18
What is the percent of decrease from 1,000 to 90?
Answer:
91%
Step-by-step explanation:
Hope I helped:)
I need help solving 4th grade math
Answer:
Whats the math?
Step-by-step explanation:
sir/miss please add something to answer or this can be reported so remake this add something then we will answer
Find a solution to the linear equation 13x+y=26
Answer:
y = -13x+26
Step-by-step explanation:
13x+y=26
y= -13x+26
For what value of x do the expressions 2x +3 and 3x -6 have the same value?
Answer:
9
Step-by-step explanation:
2x+3=3x-6
3+6=3x-2x
9=x
Answer:
x= 9
Step-by-step explanation:
hello :
2x +3 = 3x -6
2x-3x=-6-3
-x= -9
so : x= 9
A spinner has five equal portions colored orange, red, blue, yellow, and green. What are the odds against spinning a red or an orange?
Answer:
2/5
the denominator is five because it says that there is five equal portions of the spinner. The numerator is too because you are trying to find the odds of getting two colors
3.3.4 Practice: Angle Relationships in Triangles
Practice
Math 8 Sem 2
Tips for Success
Read the assignment carefully and make sure you answer each part of the question or questions.
Check your work when you're done.
Your Assignment
Answer the questions to find the measures of ∠2 and ∠3.
1. What is the measure of ∠4? Explain how you know.
Write your answer in the space below.
2. What is the sum of the measures of the angles in a triangle?
Write your answer in the space below.
3. ∠1 is in a triangle with ∠4 and a 53° angle. What is the sum of the measures of those two angles?
Write your answer in the space below.
4. What is the measure of ∠1? Explain.
Write your answer in the space below.
5. Find the measure of ∠2. Explain how you found its measure.
Write your answer in the space below.
6. What is the measure of ∠3? Explain.
Write your answer in the space below.
For question 1 and 2, you should keep in mind that the sum of all angles in a triangle is 180°. 1. If the measure of one angle of a triangle is 90 degrees, you can assume that the sum of the other two triangles should be 90 degrees. Because
180 - 90 = 90
The sum of the three angles of any triangle is equal to 180 degrees.
Angle 2=127 because 180-53=127.
Angle 3=23 because 180-30-127=53
Angle 1=37 because 90-53=37
Angle 4=90
Angle 1+4=127
The measure of ∠1 is 125° .
Next x+64=110. The reason why you can do this is because ∠R is going to be an opposite interior angle. Subtract 64 from the left and right sides. x=46
Answer:
Good luck!
Step-by-step explanation:
Which investment would make you the most interest? Explain.
A: $450 at 7% for 10 years
B: $1,300 at 5% for 6 years
PLEASE HELP, I WILL MARK BRAINLIEST TO THE ONE WHO ANSWERS FIRST
The perimeter of the base of a square prism is 16cm. The height of the prism is 5 cm. Find the volume of the prism.
(Hint: use the perimeter to find the length of the side)
Answer: Down Below
Step-by-step explanation:
Surface Area(rectangular prism) = 192 cm^2
Area(square) = 16cm^2
Area(square) = LW or S^2
Area = 16cm^2
Elmer is purchasing 2 4/5 pounds of candy that cost $1.85 per pound.
If he pays with $10, how much will he get in change? HELP I WILL MARK BRAINIEST
Answer:
hi
Step-by-step explanation:
Daniel bought 1 pound of jelly beans and 2 pounds of chocolates for $2.00. ... for $1.50. How much would he have to pay on his next trip to the candy store if he bought 1 pound of each of the 4 kinds ... How many are there? Assign ... Multiply each equation by a factor, so that all equations will have the same total price: 3(1j +.
Please help me with this question
Answer:
An equation is y=-3x+7 (I chose slope-intercept form because they already showed us the slope). When y =13 x=-2
Step-by-step explanation:
plugin 13 for y and subtract 7 from both sides, this lets you get 6=-3x then divide 6 by -3 which makes x=-2
Describe the characteristics of metal in which metal converts into sheet.
Answer:
a solid material that is typically hard, shiny, malleable, fusible, and ductile, with good electrical and thermal conductivity ( iron, gold, silver, copper, and aluminum, and alloys such as brass and steel)
Step-by-step explanation:
2) 1) A 6 ft tall lawn ornament standing next to a baby elephant casts a 18 ft shadow. If the baby elephant casts a shadow that is 12 ft long, then how tall is it?
Answer: 4 feet.
Step-by-step explanation:
Proportion from lawn ornament to its shadow = 6ft : 18ft = 1 : 3
Proportion from baby elephant to its shadow = x : 12ft
These proportions have to be equal, because if it is the same time of day, the different object's shadows will have the same proportions.
In order to solve this problem, we need to cross multiply. (Attached image)
So, 3x = 12.
By solving this equation, we find that x = 4
The height of the baby elephant is 4 feet.
I am not a professional, simply using prior knowledge!
Note- It would mean the world to me if you could mark me brainliest!
WIll GIVE BRAINLYEST TO WHOEVER ANSWERS BOTH QUESTIONS FIRST CORRECTLY
Answer:
1. 8.4 in 2. 33.6
Step-by-step explanation:
PLZZZZZZZZ help me not desperate but gotta get done by today its asking this- Brian tossed a paper cup a total of 25 times and record the data below on how the cup landed.
Position of cup Open side up Closed side up Landing on side
Number of times landed in the position 3 7 15
Find the experiment probability for the following
a. Open side up:
b. Closed side up:
c. Landing on its side:
tom and ben ordered a pizza for lunch. they each ate 1/3 of the pizza. how much pizza was eaten and how much pizza was left?
Answer:
they ate 1/3 and thrte is 2/3 left
Step-by-step explanation:
subtraction
One-third of the pizza will be left
Proportions and RatiosLet the total amount of pizza eaten be "x
Amount of pizza ate by Tom is 1/3 xAmount of pizza ate by Ben is 1/3 xTotal pizza ate = x/3 + x/3
Total pizza eaten = 2x/3
Amount of pizza left = x - 2x/3
Amount of pizza left = (3x-2x)/3
Amount of pizza left = x/3
Hence one-third of the pizza will be left
Learn more on ratio and proportion here: https://brainly.com/question/21602143
the sum of a number and its inverse equals 3 29/52, write the mathematical expression
Answer:
Step-by-step explanation:
The sum of a number and its inverse is 3 29/52. Find the number?
x+1/x=329/52
x+1/x-329/52=0
solve the fraction
(
using the quadratic formular
Answer:
Step-by-step explanation:
the yellow is the glow in the dark kind
What is true about (0, 5)
Answer:
0/5 equals zero as anything divided by zero gives zero. However 5/0 is an undetermined form which gives infinity.
Step-by-step explanation:
Write and equivalent expression for the following expression: ab
Answer:
ab = a(b)
Step-by-step explanation:
cuz u can just add parentheses
Mila has 9 buttons. Mia has 225 buttons. Mia has how many times as Mila?
Answer:
25
Step-by-step explanation:
225 divided by 9 is 25
I need to find the x of the triangle.
7.
The expression 25(1.12)m represents a population of spiders after m months. Since a year hus
12 months, 25(1.12)12n represents the population of spiders after n years.
Which expression is approximately equivalent to 25(1.12)1207
A 25(2.44)"
B 25(3.90)"
с 25(13.12)
D 25(13.44)"
Answer:
C
Step-by-step explanation:
A curious statistics student cannot get enough statistics, so he decides to analyze the percentage of students sleeping in his statistics class. He discovers that of the 30 students in his class, 47% of the students were asleep at some point during the class period. Assuming the 30 students is less than 10% of all the students taking statistics in his school, and assuming the 30 students in the class were randomly assigned to the class, what model would he use to analyze the percentage of sleeping statistics students
Answer:
c) N(.47, .09)
Step-by-step explanation:
Options to the question are "a) N(.30, .10), b) N(.30, .09). c) N(.47, .09), d) N(.47, .008), e) N(.30, .008)"
Pο = 47% = 0.47
n = 30
Mean = Pο = 0.47
S.D = Pο(1-Pο) / n
S.D = 0.47 * 0.53 / 30
S.D = 0.09
Thus, the percentage of sleeping statistics of students follows a Normal distribution with mean = 0.47 and S..D = 0.09