At least 75% of adults sleep between 4.5 and 9.3 hours per night, and at least 88.89% of adults sleep between 3.9 and 9.9 hours per night. This means that the majority of adults sleep within 2 standard deviations of the mean.
The percentage of adults who sleep between 3.9 and 9.9 hours is slightly higher than the percentage of adults who sleep between 4.5 and 9.3 hours. This is because the interval between 3.9 and 9.9 hours includes more data points than the interval between 4.5 and 9.3 hours. Chebyshev's theorem states that at least 1 - 1/k^2 of the data points in a distribution will lie within k standard deviations of the mean. In this case, k = 2 because the standard deviation is 12. So, at least 1 - 1/2^2 = 1 - 1/4 = 75% of the data points will lie within 2 standard deviations of the mean.
The interval between 4.5 and 9.3 hours is 2 standard deviations from the mean, so at least 75% of adults sleep within this interval. The interval between 3.9 and 9.9 hours is 3 standard deviations from the mean, so at least 1 - 1/3^2 = 1 - 1/9 = 88.89% of adults sleep within this interval.
Therefore, at least 75% of adults sleep between 4.5 and 9.3 hours per night, and at least 88.89% of adults sleep between 3.9 and 9.9 hours per night.
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what is 3.78 plus 8.94
Answer:
The answer is 12.72 hope this helps
Step-by-step explanation:
You'll add them it's just like simple addition but you just have to know where the decimal point will be after adding
3.78
+8.94
12.72
When you are adding you start from the back with back I mean the end so when you add 8 plus 4 it's going to be 12 then you write or type the 2 and then carry the 1 and add it to the 7 which is going to be 8 then you add the 8 to the 9 which is going to be 17 that's why we have the 7 there then you carry 1 and add it to the 3 which is going to be 4 and then 4+8 is going to be;12
That's how we got the 12.72
Hope you understand
Equation practice with angle addition
Solve equation (image shown)
The solutions to the equation \(x^{\frac{2}{3} } -2x^{\frac{1}{3} } -8=0\) are x = 64 and x = -8.
What is an exponent?In Mathematics and Geometry, an exponent is a mathematical operation that is commonly used in conjunction with an expression, so as to raise a given quantity to the power of another.
Mathematically, an exponent can be modeled by this mathematical expression;
bⁿ
Where:
the variables b and n are numerical values, letters, or an expression.
n is known as a power.
By applying the law of indices for powers to the given equation, we would have the following simplified expression:
\(a^{\frac{n}{m} }=a^{(\frac{1}{m})n }\\\\x^{(\frac{1}{3} )2} -2x^{\frac{1}{3} } -8=0\\\\n^2 -2n - 8=0\)
n² - 4n + 2n - 8 = 0
n(n - 4) + 2(n - 4) = 0
(n + 2)(n - 4) = 0
n = -2 or n = 4.
Now, we can solve for x as follows;
\(x^{\frac{1}{3} }=4\\\\x = 4^3\)
x = 64.
\(x^{\frac{1}{3} }=-2\\\\x = -2^3\)
x = -8.
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describe la vida en el barrio que se desarrolla en la pelicula los olvidados de Luis Buñuel teniendo en cuenta sus condiciones economicas y sociales atravez de las distintas actividades desarrolladas por los vecindarios
Life in the neighborhood depicted in the film "Los Olvidados" is characterized by challenging economic and social conditions.
How do the economic and social conditions shape life in the neighborhood?The neighborhood in "Los Olvidados" is portrayed as a poverty-stricken area where the residents struggle to make ends meet. The film explores the lives of marginalized individuals most particularly young boys, who are caught in a cycle of poverty, violence, and neglect.
The economic conditions in the neighborhood are harsh, with limited opportunities for employment and a lack of access to basic necessities. As a result, the residents are often forced into criminal activities to survive leading to a high level of violence and crime within the community.
Moreover, the social conditions exacerbate the challenges faced by the neighborhood. There is a sense of abandonment and neglect from the government and wider society with little support or resources available to address the issues faced by the residents.
Full question:
Describes life in the neighborhood that takes place in the film Los Olvidados by Luis Buñuel, taking into account their economic and social conditions through the different activities carried out by the neighborhoods.
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What is the relationship between the age and the power of eyesight
The relation is
Moderate and negativeSomebody please help me solve this I’m stuck
A researcher wishes to estimate within $300 the true average amount of money a country spends on road repairs each year. If she wants to be 90% confident, how large a sample is necessary
The researcher needs a sample size of at least 83. To estimate the true average amount of money a country spends on road repairs each year within $300 and be 90% confident, the researcher needs to determine the required sample size.
The formula to calculate the sample size is given by:
n = (Z * σ / E)^2
Where:
n = sample size
Z = Z-score (corresponding to the desired level of confidence)
σ = standard deviation of the population (unknown)
E = maximum allowable error
Since the standard deviation (σ) is unknown, the researcher can use a conservative estimate based on a previous study or assume a worst-case scenario.
Let's assume a worst-case scenario where the standard deviation is $1000. The desired level of confidence is 90% (Z-score = 1.645) and the maximum allowable error (E) is $300.
Substituting these values into the formula:
n = (1.645 * 1000 / 300)^2
n ≈ 9.08^2
n ≈ 82.66
Since the sample size cannot be a fraction, we round up to the nearest whole number. Therefore, the researcher needs a sample size of at least 83 to estimate the average amount of money spent on road repairs with a maximum error of $300 and a confidence level of 90%.
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The number of successive win on a mobile phone game similar to Pokémon follows a Poisson distribution, with a mean of 27 wins per hour. Find the probability that there will be 90 or more wins in the next three hours of playing.
The probability of having 90 or more wins in the next three hours of playing is 0.0506 or 5.06% (approx).
We are required to find the probability of having 90 or more wins in the next three hours of playing a mobile phone game similar to Pokémon, given that the number of successive win follows a Poisson distribution with a mean of 27 wins per hour.
The given mean of Poisson distribution is λ = 27.
The Poisson distribution formula is:P(X = x) = (e^-λ λ^x) / x!
We need to calculate the probability of having 90 or more wins in 3 hours.
We can combine these three hours and treat them as one large interval, for which λ will be λ1 + λ2 + λ3= (27 wins/hour) * 3 hours= 81 wins.
P(X ≥ 90) = 1 - P(X < 90)
To calculate P(X < 90), we can use the Poisson distribution formula with λ = 81.P(X < 90) = Σ (e^-81 * 81^k) / k!, k = 0, 1, 2, ....89= 0.9494
Using the above formula and values, we get P(X ≥ 90) = 1 - P(X < 90)= 1 - 0.9494= 0.0506
Therefore, the probability of having 90 or more wins in the next three hours of playing is 0.0506 or 5.06% (approx).
Hence, the probability of having 90 or more wins in the next three hours of playing is 0.0506 or 5.06% (approx).
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Select all of the answer choices that show the sum of 3⅖ + 2⅕.
Answer:
5 3/5
Step-by-step explanation:
17/5+11/5=28/5=5 3/5
Answer:
5 3/5
Step-by-step explanation:
3+2
2/5 + 1/5
5+3/5
5 3/5
. the width of the pool is 25 m find the length of the acual pool?
Answer: How are you supposed to know the length if you only know the width. There isn't an answer to this question.
6 times 10 to the 8th power divided by 2 times 10 to the negative 4th power
Answer:
30
Step-by-step explanation:
I think but if is wrong i'm sory
a number cube is rolled 24 times and lands on 6 three times. find the experimental probability of not landing on a 6. express your answer as a fraction in simplest form.
If a cube is rolled 24 times and lands on 2 four times and on 6 three times , then the experimental probability of not landing on a "6" is 0.171 .
on a cube there are total 6 outcomes ,
the probability of getting "2" on a single cube is = P(2) = 1/6 ;
the probability of getting "6" on a single cube is = P(6) = 1/6 ;
the probability of the cube not landing on 6 is = P'(6) = 5/6 ;
Since the cube is rolled 24 times , the experimental probability of not landing on "6" is
⇒ P(not 6) = ²⁴C₅×(1/6)⁵×(5/6)¹⁹ ;
On simplifying ,
we get ;
⇒ P(not 6) = 0.171 .
Therefore , the experimental probability of not landing on a 6 is 0.171 .
The given question is incomplete , the complete question is
A number cube is rolled 24 times and lands on 2 four times and on 6 three time. Find the experimental probability of not landing on a 6 .
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In ΔOPQ, p = 7.2 cm, ∠P=36° and ∠Q=38°. Find the length of q, to the nearest 10th of a centimeter.
Answer:
7.5
Step-by-step explanation:
did the deltamath
Answer: 7.5 don’t ask just know
Step-by-step explanation:
Let f: R→ R' be a ring homomorphism of commutative rings R and R'. Show that if the ideal P is a prime ideal of R' and f−¹(P) ‡ R, then the ideal f−¹(P) is a prime ideal of R. [Note: ƒ−¹(P) = {a ≤ R| ƒ(a) = P}]
we are given a ring homomorphism f: R → R' between commutative rings R and R'. We need to show that if P is a prime ideal of R' and f^(-1)(P) ≠ R, then the ideal f^(-1)(P) is a prime ideal of R.
To prove this, we first note that f^(-1)(P) is an ideal of R since it is the preimage of an ideal under a ring homomorphism. We need to show two properties of this ideal: (1) it is non-empty, and (2) it is closed under multiplication.
Since f^(-1)(P) ≠ R, there exists an element a in R such that f(a) is not in P. This means that a is in f^(-1)(P), satisfying the non-empty property.
Now, let x and y be elements in R such that their product xy is in f^(-1)(P). We want to show that at least one of x or y is in f^(-1)(P). Since xy is in f^(-1)(P), we have f(xy) = f(x)f(y) in P. Since P is a prime ideal, this implies that either f(x) or f(y) is in P.
Without loss of generality, assume f(x) is in P. Then, x is in f^(-1)(P), satisfying the closure under multiplication property.
Hence, we have shown that f^(-1)(P) is a prime ideal of R, as desired.
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four plus three eighths x equals seven
solve for x
Answer:
\(\large\boxed{\mathtt{x=8}}\)
Step-by-step explanation:
\(\textsf{For this problem, we are asked to solve for x.}\)
\(\textsf{Note that our equation is in word form, let's change it into numerical form.}\)
\(\large \tt { {4 \ plus \ 3 \ eighths \ x \ equals \ seven. } \atop {4+ \frac{3}{8} x = 7. } }\)
\(\large\underline{\textsf{Solving;}}\)
\(\textsf{Our goal is to find x. We should isolate x where its alone on the left side.}\)
\(\underline{\textsf{How?}}\)
\(\textsf{Simply subtract 4 from both sides to isolate x.}\)
\(\large\underline{\textsf{Isolating x;}}\)
\(\tt 4 - 4 + \frac{3}{8} x = 7 - 4\)
\(\underline{\textsf{We should have;}}\)
\(\tt \frac{3}{8} x = 3\)
\(\textsf{We don't know the value of x yet. We only know 3/8 of x.}\)
\(\textsf{For x to equal 1, multiply both sides of the equation by the \underline{reciprocal} of the fraction.}\)
\(\large\underline{\textsf{What is a Reciprocal?}}\)
\(\textsf{A Reciprocal is a \underline{fraction} where the Numerator and the Denominator \underline{flip}.}\)
\(\underline{\textsf{For example;}}\)
\(\large \tt {Flip \ the \ Numerator \ and \ the \ Denominator.} \atop {The \ Reciprocal \ of \ \frac{5}{4} \ is \ \frac{4}{5}.}\)
\(\large\underline{\textsf{Find the Reciprocal of} \ \frac{3}{8};}\)
\(\tt{ The \ Reciprocal \ of \ \frac{3}{8} \ is \ \frac{8}{3}.}\)
\(\underline{\textsf{Multiply;}}\)
\(\tt \frac{8}{3} \times \frac{3}{8} x = 3 \times \frac{8}{3}\)
\(\large\boxed{\mathtt{x=8}}\)
\(\huge\text{Hey there!}\)
\(\huge\textbf{Question reads:}\)
\(\large\textsf{Four plus three eighths x equals seven}\)
\(\huge\textbf{Equation should look like:}\)
\(\mathtt{4 + \dfrac{3}{8}x = 7}\)
\(\huge\textbf{How will we solve for it?}\)
\(\mathtt{4 + \dfrac{3}{8}x = 7}\)
\(\mathtt{\dfrac{3}{8}x + 4= 7}\)
\(\large\text{SUBTRACT 4 to BOTH SIDES:}\)
\(\mathtt{\dfrac{3}{8}x + 4 - 4 = 7 - 4}\)
\(\large\text{CANCEL out: 4 } \rm{-}\large\text{ 4 because it gives you 0.}\)
\(\large\text{KEEP: 7 }\rm{-}\large\text{ 4 because it help us solve for the x}-\large\text{value.}\)
\(\mathtt{\dfrac{3}{8}x = 7 - 4}\)
\(\mathtt{\dfrac{3}{8}x = 3}\)
\(\large\text{MULTIPLY }\rm{\dfrac{8}{3}\large\text{ to BOTH SIDES:}\)
\(\mathtt{\dfrac{3}{8}x\times\dfrac{8}{3} = 3\times\dfrac{8}{3}}\)
\(\large\text{CANCEL out: }\rm{\dfrac{3}{8}\times\dfrac{8}{3}\large\text{ because it gives you 1.}\)
\(\large\text{KEEP: }\rm{3\times\dfrac{8}{3}\large\text{ because it gives the x}\rm{-}\large\text{value.}\)
\(\mathtt{x= 3\times\dfrac{8}{3}}\)
\(\mathtt{x= \dfrac{3}{1}\times\dfrac{8}{3}}\)
\(\mathtt{x = \dfrac{3\times8}{1\times3}}\)
\(\mathtt{x = \dfrac{24}{3}}\)
\(\mathtt{x = 24\div3}\)
\(\mathtt{x = 8}\)
\(\huge\textbf{What is the overall answer?}\)
\(\huge\boxed{\mathtt{x = 8}}\huge\checkmark\)
\(\huge\text{Good luck on your assignment \& enjoy your day!}\)
Question 3 of 10
Use the quadratic formula to find both solutions to the quadratic equation
given below.
2x²+x-1=0
Answer:
x=1/2 or x=−1
Step-by-step explanation:
The solution to the quadratic equation is x = -1 or 1/2
What is Quadratic Equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.
The roots of the quadratic equations are
x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )
where ( b² - 4ac ) is the discriminant
when ( b² - 4ac ) is positive, we get two real solutions
when discriminant is zero we get just one real solution (both answers are the same)
when discriminant is negative we get a pair of complex solutions
Given data ,
Let the quadratic equation be represented as A
Now , the value of A is
2x² + x - 1 = 0 be equation (1)
And , roots of the quadratic equations are
x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )
On simplifying , we get
x = [ -1 ± √ ( 1 )² - ( 4 ) ( 2 ) ( -1 ) ] / 4
x = [ -1 ± √ ( 1 + 8 ) ] / 4
x = [ -1 ± 3 ] / 4
So , the two values of x are
x = ( -1 - 3 ) / 4
x = -1
And , x = ( -1 + 3 ) / 4
x = 1/2
Therefore , the values of x are -1 or 1/2 respectively
Hence , the roots of the quadratic equation are -1 or 1/2 respectively
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Seth's balcony is 7 feet wide and 14 feet long. Seth paid $4.00 per square foot to have the
balcony stained. How much did he pay?
Answer:
392
Step-by-step explanation:
x/10 = 2
Solve for x
x = ?
Answer:
20 ÷ 10 = 2
So x = 20
Step-by-step explanation:
Hope this helps!
Answer:
x = 20
Step-by-step explanation:
1. Multiply 10 on both sides
2. The 10 on he left said will cancel out
3. x = 20
Help? I’m struggling my awnser was 1 1/4 more or less and why
210 divide by 3.5 in long division
Show work
Answer:
See attached photo for work
Step-by-step explanation:

When dividing 210 by 3.5 using long division, the quotient is 60.
Explanation:Dividing is a fundamental mathematical operation that involves splitting a quantity or set of items into equal parts. It is the inverse of multiplication, where one number, called the dividend, is separated into smaller portions or groups by another number, known as the divisor. The result is called the quotient. Division is denoted by the symbol "/", ÷, or ":".
When dividing 210 by 3.5 using long division, we start by dividing 2 by 3.5 which gives us 0 as the quotient. We then bring down the next digit, 1, and divide 21 by 3.5 which gives us 6 as the quotient. Finally, we bring down the last digit, 0, and divide 0 by 3.5 which gives us 0 as the quotient. Therefore, 210 divided by 3.5 is equal to 60.
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Cables and parallel beams are used to support a bridge. The obtuse angles formed by the beams and the bridge are 105°. The acute angle formed by the cable and the bridge is 42°.
Note: Picture is not drawn to scale.
What is the measure of angle X?
Answer:
Step-by-step explanation:
A$AP BEAN$: Khan Academy can help you. Do your work and stop cheating!!!!!
BEAN$ OUT!!!!!
What is the simplified form of the expression -(2a + 5s) + (10a - 3s)?
Select one:
a. 8a - 25s
b. 8a - 35s
c. 12a + 25s
d. 12a - 35s
Answer:
b. 8a-35s
Step-by-step explanation:
what is y 5(y -10)=-5
Answer:
y=9
Step-by-step explanation:
5(y-10)=-5
We move all terms to the left:
5(y-10)-(-5)=0
We add all the numbers together, and all the variables
5(y-10)+5=0
We multiply parentheses
5y-50+5=0
We add all the numbers together, and all the variables
5y-45=0
We move all terms containing y to the left, all other terms to the right
5y=45
y=45/5
y=9
The value of y = 9 is correct. Therefore, the solution is y = 9.
To solve the equation 5(y - 10) = -5 for y, follow these steps:
Step 1: Distribute the 5 on the left side of the equation:
5y - 50 = -5
Step 2: Move the constant term to one side by adding 50 to both sides:
5y - 50 + 50 = -5 + 50
Step 3: Simplify the left side and evaluate the right side:
5y = 45
Step 4: Isolate y by dividing both sides by 5:
5y / 5 = 45 / 5
Step 5: Simplify and calculate y:
y = 9
The solution to the equation is y = 9. To verify, substitute y with 9 in the original equation:
5(9 - 10) = -5
5(-1) = -5
-5 = -5
Since both sides are equal, the value of y = 9 is correct. Therefore, the solution is y = 9.
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Suppose that the length X of the life (in years) of a battery for a computer has a distribution that can be described by the pdf: f(x) = 16/49 e^-8x^2/49 Determine the probability that the battery fails before the one year warranty expires on the computer. a) 0.8494 b) 0.2773 c) 0.3506 d) 0.1506 e) 0.3773 f) None of the above
The answer is (a) 0.8494, to find the probability that the battery fails before the one year warranty expires,
we need to calculate the integral of the given pdf from 0 to 1, as X represents the length of the battery life in years.
So, P(X<1) = ∫(0 to 1) f(x) dx = ∫(0 to 1) (16/49) e^(-8x^2/49) dx ≈ 0.8494
Therefore, the answer is (a) 0.8494.
The given pdf describes the distribution of the length of the battery life, and we are interested in finding the probability that the battery fails before the one year warranty expires.
This can be found by integrating the pdf from 0 to 1, as the warranty lasts for one year.
Using the formula for the probability density function, we calculate the integral of the given pdf from 0 to 1, and get the answer as 0.8494.
This means that the probability of the battery failing before the one year warranty expires is about 84.94%.
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How do you find a slope and the Y intercept
Answer:
Step-by-step explanation:
Typically in a line the y intercept is the point where your graph crosses the y-axis, and the x value is 0 so (0,b) is the y-intercept where y-intercept is b
The slope can be found by finding the rate of change, so the change in y / the change in x
You can also calculate the slope with 2 points so (x1, y1) (x2, y2)
you take the y values and subtract them, then divide by the x values like this:
y2 - y1 / x2 - x1
If a line is going up to the right in Quadrant I then the slope is positive, if the slope of the line goes down in Quadrant IV then the line slope is negative
Slopes of horizontal lines are zero, the slope of a vertical line is undefined
We use the letter m to stand for the slope
Write the following expression using a single exponent.
(85)2 x 86
A. 8 16
B.
8 13
C. 8 4
D. 8 42
Can someone help me please
I’ll mark as brainliest
Answer true
Step-by-step explanation:
13. One-fourth of a number is the same as the square of -3
Complete the steps in solving the quadratic function 7x – 9 = 7x2 – 49x by completing the square.
answer below:
–9 = 7x2 –
⇒ 56 x
–9 +
⇒ 112 = 7(x2 – 8x +
⇒ 16 )
56, 112, 16 in that order
Answer:
it's actually 28+/-√721/7
Step-by-step explanation:
Simplify
\( \frac{ {4}^{2} }{16} \)
Answer: 1
Step-by-step explanation:
\(\dfrac{ {4}^{2} }{16}=\dfrac{16}{16} =1\)