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.
Marla mixed cream and milk in a ratio of
2 parts cream to 3 parts milk. How many
liters of each did she use if she made 20 liters
Answer:
If it says she made 20 liters of cream then She has 30 liters of milk
Step-by-step explanation:
2 cream x 10 = 20
3 milk x 10 = 30
Hope this helps!
Plz make me Brainliest.
Find the value of x, given the figures
are similar.
10
30
36
A) 4
C) 90
B) 108
D) 12
Answer:
it's 12 cuz 36 divided by 3 is 12
A total of 46 students signed up to play in a flag football league if each team has 10 students how many more students will need to sign up so all of the students can be on a team show your work
Answer:
4
Step-by-step explanation:
40÷10=4 so there's 4 teams but there's still 6 but we need 10 in each team so we need to 4 more people to make it equal
A large tank holds ×5107 gallons of oil. How much oil can be stored in 23 tanks
Find the solutions to x2 = 18.
O A.
- +32
B. X = +63
O c. X = +376
O D. X = +2/3
Answer:
what in the math equations is this???
Step-by-step explanation:
Find the least common denominator of these two fractions. LOTO and 1/ 5 The least common denominator is [?]
Answer:
6yx
Step-by-step explanation:
This number will be your least common denominator (LCD). Divide the LCD by the original denominator. To determine the multiple needed to make the denominators equal, divide the LCD you determined by the original denominator. Multiply the numerator and the denominator of each fraction by this number.
Multiplicative inverse of 345
Answer:
-0.00289855.
URGENT PLZZ HELP!!!!
Answer: 1
Step-by-step explanation:
Since 2 ≥ 2, we only need to look at [tex]x^3-9x^2+27x-25[/tex].
Plugging in 2 for x in this, we get:
[tex]2^3-9(2)^2+27(2)-25[/tex]
[tex]8 - 36 + 54 - 25[/tex]
[tex]1[/tex]
Hence, the answer is A.
Help me please!!
15 points!
Answer:
Hi Hi really sorry may i get some points i need them to give it to other people cuz some people want points, ik its not the answer u wanted sorry but hope u get the answer soon!
Step-by-step explanation:
lol please help me !
Answer: (a + 2)(a - 2) which is the first answer choice
=========================================================
Explanation:
Use the difference of squares factoring rule which is x^2 - y^2 = (x+y)(x-y)
In this case, x = a and y = 2
x^2 - y^2 = (x+y)(x-y)
a^2 - 2^2 = (a+2)(a-2)
a^2 - 4 = (a+2)(a-2)
According to the Stack Overflow Developers Survey of 20184, 25.8% of developers are students.The probability that a developer is a woman given that the developer is a student is 7.4%,and the probability that a developer is a woman given that the developer is not a student is76.4%. If we encounter a woman developer, what is the probability that she is a student
Answer:
0.0326 = 3.26% probability that she is a student.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Woman developer
Event B: Student
Probability that the developer is a woman:
7.4% of 25.8%(students).
76.4% of 100 - 25.8 = 74.2%(not students). So
[tex]P(A) = 0.074*0.258 + 0.764*0.742 = 0.58598[/tex]
Student and woman developer.
7.4% of 25.8%(students), so
[tex]P(A \cap B) = 0.074*0.258 = 0.019092[/tex]
If we encounter a woman developer, what is the probability that she is a student
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.019092}{0.58598} = 0.0326[/tex]
0.0326 = 3.26% probability that she is a student.
What is the perimeter of the regular hexagon? 3 m meters
The square root of 83 can be plotted on the number line below,
+
8.5 8.6 8.7 8.8 8.9 9,0 9,1 9,2 9,3 94 9,5
Use the drop-down menus to explain where 83 should be plotted on the number line, Click the
arrows to choose an answer for each menu,
The square root of 83 to the nearest tenth is Choose.... · The square root of 83 to the
nearest hundredth is Choose... On the number line above, 83 should be plotted
slightly to the choose... of Choose...
sdUse the drop-down menus to explain where 83 should be plotted on the number line, Click the
Step-by-step explanation:
Answer: 9.1, 9.11, Right, 9.1
Step-by-step explanation:
NEED HELPPPP! This is hard for me to do!
Answer:
a) This expression is simply the average of both of their hours for a full year.
b) Honestly, I'm not sure, but mathematically, its [tex]\frac{Beth's -hours}{Arjun's-hours}[/tex], so the hours cancel out and you get the ratio of their yearly hours? Idek
c) a/12 would be the number of hours Arjun worked per month since there are 12 months in a year.
d) This one is a difference between Arjun's hourly wage to Beth's hourly wage. So, it represents how much more Arjun would have made (Arjun's hourly wage) in comparison to Beth, or vice versa (depending on who worked more hours).
c) Similar to a), this is an average of their yearly income.
The sum of the squares of two positive numbers is 41 and the difference of the two squares of the numbers is 9. Find the numbers. If there is more than one pair, use the "or" button.
Answer:
Step-by-step explanation:
41
If 10% of a number is 2 less than 20% of the same number, then 80% of the number equals?
Answer:
16
every time you go up 10% there will be 2 added
2*8=16
Step-by-step explanation:
If 10% of a number is 2 less than 20% of the same number, then 80% of the number equals 16.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given,
10% of a number is 2 less than 20% of the same number,
10% .x=20%x-2
Convert % to the decimal by diving with 100.
10/100x=20/100x-2
0.1x=0.2x-2
Subtract 0.1x on both sides
0=0.2x-0.1x-2
Add 2 on both sides
2=0.2x-0.1x
2=0.1x
Divide both sides by 0.1
20=x
Now we need to find 80% of 20.
80% of 20
80/100×20
0.8×20
16
Hence, 10% of a number is 2 less than 20% of the same number, then 80% of the number equals 16.
To learn more on Percentage click:
https://brainly.com/question/28269290
#SPJ2
10 km=---------miles
Answer:
10000
Step-by-step explanation:
because 1 km =1000 m
Use technology to find points and then graph the line y = 5/3x – 1
Answer:
Any line can be graphed using two points. Select two x values, and plug them into the equation to find the corresponding y values.
y-int = (0, -1)
x-int. = (3/5, 0)
good luck, i hope this helps :)
Answer please!!!!
Award Brainliest!!!
Answer:
53
Step-by-step explanation:
60 + 67 = 127
180 - 127 = 53
Your answer will be 53
Factcheck:
60 + 67 + 53 = 180
solve this pleaseI will really appreciate it.
Can someone please help
Answer:
the standard form of the given algebraic expression is
[tex]x + x - 2 + 7[/tex]
[tex] = 2x + 5[/tex]
Answer:
x square -5x -14
Step-by-step explanation:
Formula:
X square + (a+b)x +ab
And then substitute...
Hope it helped you.
1. (a+2)²
2. (a-5)²
3. 3(a+b)
4. (a+2)(a-2)
5. (ab)⁴
6.- 3a(2a + 2b)
7. (2a-3)(a +2)
8. (8a+10b)(8a-10b)
9. (2a-3)³
10.-9a(3a+4b)
Answer:
a² + 4a + 4
Step-by-step explanation:
(a + 2) ² = (a + 2) ( a + 2)
= a ( a + 2) + 2 ( a + 2)
= a² + 2a + 2a + 4
= a² + 4a + 4
huh? sorry idont know the answer
What is the apparent solution to this system of equations?
(Write your answer as an ordered pair)
3
N
1
-2
2
3
5
- 1
-21
-5
At a grocery store a 12 pack of 10.75 ounce cans of soup is sold for 15.65 there are 128 oz in a gallon determine the price per gallon round to the nearest cent
New York is 5 hours behind London. It is 15:55 in London,
what time is it in New York using the 24 hour clock?
Answer:
10:55
Step-by-step explanation:
15:55 - 5 = 10:55
IF A CUBE HAS VOLUME OF 1,331 MM, WHAT IS THE AREA OF THE BASE OF IT IN SQUARE MILLIMETERS
A bag contains 5 yellow, 6 red, and 4 green marbles. Two marbles are drawn. The first is replaced before the second is drawn. A random variable assigns the number of green marbles to each outcome. Calculate the expected value of the random variable.
a.0.76 c.0.27 b. 1.07 d. 0.53
Answer:
53
Step-by-step explanation:
Find the greatest common factor of the
following monomials:
25x5 20x6
Answer:
1
Step-by-step explanation:
Find the product of the least common multiple (LCM) of $8$ and $6$ and the greatest common divisor (GCD) of $8$ and $6$. Please help meh. I
If point N, with coordinates (1, 4) is translated to point N', with coordinates (-1,-1).
which translation did N undergo?
one unit left and three units down
two units left and three units down
two units left and five units down
one unit left and five units down
