Answer:
Chebyshev's Theorem (Tchebysheff's Theorem) suggests that this percentage would be greater than [tex]75\%[/tex].
Step-by-step explanation:
Let [tex]Y[/tex] be a random variable with a mean of [tex]\mu[/tex] and a (finite) variance of [tex]\sigma[/tex]. By Chebyshev's Theorem, for any constant [tex]k[/tex] where [tex]k > 0[/tex]:
[tex]\displaystyle P\left(\left|Y -\mu\right| \le k\, \sigma\right) \ge 1 - \frac{1}{k^2}[/tex].
In this question, let [tex]Y[/tex] denote height (in inches.) Accordingly, [tex]\mu = 63.6[/tex] whereas [tex]\sigma = 2.5[/tex].
Note, that the interval of interest [tex](58.6,\, 68.6)[/tex] is centered at [tex]\mu = 63.6[/tex]. Besides, the difference between [tex]\mu[/tex] and either endpoints of this interval is equal to [tex]5.0[/tex], which is the same as [tex]2\, \sigma[/tex].
Rewrite the interval [tex](58.6,\, 68.6)[/tex] as [tex](63.6 - 2\times 2.5,\, 63.6 + 2 \times 2.5)[/tex].
For the height [tex]Y[/tex] of one such individual, [tex]Y \in (58.6,\, 68.6)[/tex] is equivalent to [tex]\left|Y - 63.6\right| < 2 \times 2.5[/tex]. With [tex]\mu = 63.6[/tex] whereas [tex]\sigma = 2.5[/tex], that expression is equivalent to [tex]\left|Y - \mu \right| < 2\, \sigma[/tex].
The percentage of individuals with a height in the interval [tex](58.6,\, 68.6)[/tex] would be equal to the probability [tex]P(\left|Y - \mu \right| < 2\, \sigma)[/tex].
Compare this expression to Chebyshev's Theorem. Notice that [tex]k = 2[/tex]. Therefore:
[tex]\displaystyle P\left(\left|Y -\mu\right| \le 2\, \sigma\right) \ge 1 - \frac{1}{2^2} = 0.75[/tex].
In other words, at least [tex]75\%[/tex] of the heights would be between [tex]58.6[/tex] inches and [tex]68.6[/tex] inches.
If Mrs. Bugarin has 30 oranges and 20 are rotten, what percent of oranges are not rotten?
Answer:
6 percent
Step-by-step explanation:
i believe this is the answer
Find the slope of the line that passes through (4, 2) and (1, 6).
Answer:
[tex]m=\frac{-4}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (4, 2)
Point (1, 6)
Step 2: Find slope m
Substitute: [tex]m=\frac{6-2}{1-4}[/tex]Subtract: [tex]m=\frac{4}{-3}[/tex]Rewrite: [tex]m=\frac{-4}{3}[/tex]6X - 2 + 5x + 7 *
what’s the answer?
Answer:
x=2.2
Step-by-step explanation:
6X - 2 + 5x + 7
add like terms
11x+5
divide 5 on both sides
x=2.2
Hope this helps dont 4get to like and star
-mercury
Answer:
11x+5
Step-by-step explanation:
6X - 2 + 5x + 7
Group like terms=6x+5x-2+7
Add similar elements=11x-2+7
Add Subtract the numbers=11x+5
please someone help me
Answer:
56
Step-by-step explanation:
Answer:
56
Step-by-step explanation:
got it from person above me have nice day
find the common ratio and explicit formula for 2, 3, 4.5, 6.75,
Step-by-step explanation:
r=3/2=(4.5)/3=3/2
it is geometric, so we will use this equation:
a(n)=a1*(r)^(n-1)
and we have a(1)=2 , r=3/2
So explicit formula:
a(n)=2*(3/2)^(n-1)
hope this helps
Answer: B
Step-by-step explanation:
on edge warm-up
Dhdgxgxgxg g g gg gxxgdgd
Answer:
B
Step-by-step explanation:
4:6 = 2:3
2:3 = 2:3
8:12 = 2:3
4:5 = 4:4
The following equation is an example of a literal equation.
2(z + a) = 46
A Solve the glven equation for the variable a. In your final answer, Include all of your work.
B. In two or more complete sentences, explain the specific process that you followed in solving for a.
Answer:
a)
[tex]a=23-z[/tex]
b)
First of all, I divided both sides by 2, simplified, and then subtracted z from both sides. Then, I got the final result for 'a'.
Step-by-step explanation:
a) Solving the equation
Given the expression
[tex]2\left(z+a\right)=46[/tex]
Divide both sides by 2
[tex]\frac{2\left(z+a\right)}{2}=\frac{46}{2}[/tex]
simplify
[tex]z+a=23[/tex]
subtract z from both sides
[tex]z+a-z=23-z[/tex]
[tex]a=23-z[/tex]
Thus, the value of a:
[tex]a=23-z[/tex]
b) Work Process
First of all, I divided both sides by 2, simplified, and then subtracted z from both sides. Then, I got the final result for 'a'.
At Algorithms Pizza they have the exponential pizza, which is a 24-inch cheese pizza that costs $17.50. Each topping for the pizza costs $2.35. If Connor ordered the exponential pizza and was charged $29.25, how many toppings were on his pizza?
Answer:
There were 5 toppings on his pizza.
Step-by-step explanation:
From the information given, you can say that the total cost of the pizza would be equal to the cost of the 24-inch cheese pizza plus the result of multiplying the cost of each topping for the number of toppings, which can be expressed as:
c=17.50+2.35x, where:
c is the total cost
x is the number of toppings
Now, you can replace the total cost with $29.25 and solve for x:
29.25=17.50+2.35x
29.25-17.50=2.35x
11.75=2.35x
x=11.75/2.35
x=5
According to this, the answer is that there were 5 toppings on his pizza.
Can anyone give me a few reasons why school cafeteria food is bad
Answer:
the food is always bad
Step-by-step explanation:
and second they give you like not that much to eat anyways.
HELPPP PLEASE AAAAAAAAAAAAAAAAA
Answer:
The second option: 4 1/2 x = 22 1/2
Step-by-step explanation:
The whole volume is 22 1/2 so that is on one side of the equals sign but it must be by itself. Then the formula for volume is length x width x height.
so 22 1/2 = l x w x h
Two of these numbers are given. You multiply 3 x 1 1/2 to get 4 1/2 times the unknown value of x
Answer:
Answer:
The second option: 4 1/2 x = 22 1/2
The whole volume is 22 1/2 so that is on one side of the equals sign but it must be by itself. Then the formula for volume is length x width x height.
so 22 1/2 = l x w x h
Two of these numbers are given. You multiply 3 x 1 1/2 to get 4 1/2 times the unknown value of x
Step-by-step explanation:
What is -12.25 / (1.4)?
A. -13.65
B. -8.75
C. 8.75
D. 13.65
Answer:-8.75
Step-by-step explanation:
Answer:
C. -8.75
Step-by-step explanation:
Ultimately, you are dividing a negative number by a positive number which makes the answer negative. The only way the answer can be positive if it's dividing by two negatives or two positives. You can also assume that since the divider is greater than 1, it is usually less than the first number for this statement which makes your answer -8.75.
How many solutions does the equation 5x + 10 = 5x − 8 have
Number 2 (algebra 2)
Answer:
Should I answer all the questions or just the second one
Answer:
B. Quintic
Step-by-step explanation:
The degree of the polynomial is the highest exponent in the polynomial. In this case it's 5, which means that its a quintic function
EXPLAIN THIS FORMULA PLS HELP ME
it means
wdwedwefqwerf
...........................
Convert - 3. - 3. - 3 to exponential form.
Answer:
-3 {3}
Step-by-step explanation:
:D
A suitcase marked at $40 was sold at $32. What was the percentage of discount for the suitcase?
Answer:
Step-by-step explanation:
32/40
=0.8
so it's 20% off since it's a decay.
Racquel works 4 hours a week at the senior center on the weekends.
She gets paid $10.75 an hour. How much money will Raquel have
earned over the course of 3 weeks?
Answer:
$129
Step-by-step explanation:
First, we'll figure out how much Racquel earns per week by multiplying how much she gets per hour by the number of hours she works per week. We can solve 4x10.75 to find out how much money Racquel earns per week. We can solve that to find out that she earns $43 per week. Then, we can multiply that by 3 to find out how much she earns in 3 weeks. Once we solve 43x3 we will end up with an answer of $129 over the course of 3 weeks.
(hope this helped)
The father is three times as old as his son, Joe. Joe is four years older than his sister, Alexa. Alexa is twice as old as Rocky. Let R equal Rocky's age. Write an algebraic expression. Please Help!
Answer:
R=(F/3-4)/2
Step-by-step explanation:
Father = F
Joe = J
Alexa = A
R= Rocky
F=3J
A+4=J
A=2R
F/3=J
A=J-4
A=F/3-4
2R=F/3-4
R=(F/3-4)/2
Hope this helps!
A store at the mall was closing. Everything in the store was 75% off. If you
wanted to buy a $200 jacket, how much did it actually cost you? *
Answer:
the original price would be $800
Step-by-step explanation:
800-75% = 200
just use a calculator
c/-5=17
pls help asap!!
Answer:
c=-85
Step-by-step explanation:
17*-5=c
17*-5=-85
use the order of operations to simplify 43/5 + 15 / 5 - 1/5.
What is the x intercept for 6x - 7y = 42
Answer:
(7,0)
Step-by-step explanation:
Answer:
x = 7 (7,0)
Step-by-step explanation:
6x - 7y = 42
cancel out the y
6x -7 (0) = 42
6x = 42
divide both sides by 6
x = 7
Hope this helps!!!
Mr. Yasger pays $174 every 4 months for guitar lessons. At this rate, how much will he pay for 3 years of guitar lessons? (Hint: How many months are in a year?)
Dance club has a $20 start up fee and a $5 monthly fee
M=
B=
Y=
9514 1404 393
Answer:
y = 5x +20
Step-by-step explanation:
We assume you want the total cost (y) of x months of membership at the dance club.
This will be the sum of the start-up fee (20) and the product of the monthly fee (5) and the number of months (x).
y = 5x +20
Comparing this to the slope-intercept form of the equation of a line, we see ...
y = mx + b
m = 5
b = 20
HELPPPPPPPPPPPP PLSSSSSS
Answer:
(x, y) → (x + 8, y - 3)
Step-by-step explanation:
To find the rule of translation, we can find one point on both figures to calculate the change in the x-axis and y-axis.
Let's say we take the point D (0, -1).
(-1, 0) → (7, -3)
Change in x = 7-(-1)
= 7 + 1
= 8
Change in y = -3-0
= -3
Thus, the change is (x + 8, y - 3)
does this ratio form a proportion? show ur work, please!
AnswerStep-by-step explanation:
[tex] \frac{5}{12} = \frac{170}{} [/tex]
[tex] \frac{5}{12} = \frac{5 \times 34}{12 times 34} [/tex]
Simplify
[tex] \frac{5 \times 34}{12 times 34} = \frac{5}{12} [/tex]
Therefore, the ratio from the relation of the information is proportional.
9. Find the missing Angle, show your
work
Answer:
30 degrees
Step-by-step explanation:
Since a triangle's angle measures add up to 180, you need to set up an equation to find the missing side.
130+20+? = 180
150+?=180
180 minus 150 is 30 so the missing side is 30 degrees
Answer:
30 degrees
Step-by-step explanation:
All three angles in a triangle always add up to be 180 degrees.
Add 20 and 130 to get 150. Then, subtract 150 from 180 to get 30 degrees.
A triangle has interior angle measures 28 and 32, please find the 3rd interior angle and two exterior angles.
Answer:
16
Step-by-step explanation:
its an ocosilse triangle cause of the 1 apat distance so 16 is the anser
Answer:
the 3rd angel is 120
the two exterior angels can be, 60 and 152
Step-by-step explanation:
the 3rd angel is 120 because the interior angel measure is 180, so 28+32 is 60 and 180-60 is 120.
the exterior angel is gained by adding two nonadjacent angles or the remote angels.
pls help me i need to do all my math for to day and i dont know how to do it
-11x(x+12)
Answer:
If you want to simplify, -11[tex]x^{2}[/tex]-132x
Step-by-step explanation: