The mean housing cost for the given cities is $20.42.
The standard deviation of housing costs for the given cities is 1.91.
The mean is calculated by summing up all the values in the dataset and dividing the sum by the total number of values. In this case, we have the following data for housing costs in different cities:
Comparative City Housing Cost
NY $16.00
Coors $20.00
Los Angeles $22.05
Santa Barbara $18.70
Oceanside $22.90
Porterville $20.50
New York $21.40
To calculate the mean, we add up all the values:
Sum = $16.00 + $20.00 + $22.05 + $18.70 + $22.90 + $20.50 + $21.40 = $141.55
Next, we divide the sum by the total number of values, which is 7 in this case:
Mean = $141.55 / 7 = $20.42
Therefore, the mean housing cost for the given cities is $20.42.
The standard deviation is a measure of the spread or variability in the dataset. It tells us how much the individual values deviate from the mean.
The formula for calculating the standard deviation is:
σ = sqrt[(Σ(x - μ)^2) / N]
Where:
σ is the standard deviation
Σ represents the sum of
x represents each individual value
μ is the mean
N is the total number of values
Using the given data, we substitute the values into the formula:
σ = sqrt[((16 - 20.42)^2 + (20 - 20.42)^2 + (22.05 - 20.42)^2 + (18.70 - 20.42)^2 + (22.90 - 20.42)^2 + (20.50 - 20.42)^2 + (21.40 - 20.42)^2) / 7]
Simplifying the expression within the square root:
σ = sqrt[(5.2364 + 0.0016 + 0.0264 + 2.7164 + 0.0524 + 0.0064 + 0.0064) / 7]
σ = sqrt[8.0456 / 7]
σ = sqrt(1.1494)
σ ≈ 1.07
Therefore, the standard deviation of housing costs for the given cities is approximately 1.07.
These calculations provide a measure of the average and spread of the housing costs across the different cities.
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If twenty-eight is subtracted from the product of a number and five the result is twenty-two. What is the value of the number?
pls help
Answer:
10
Step-by-step explanation:
Answer:
the value of the number is 10.
Explanation:
Let the number be x,
given 28 subtracted from the product ( 5 * x ) and equals to 22
solve:
5x - 28 = 22
5x = 22 + 28
5x = 50
x = 10
the u.s. department of transportation recently reported that 81.5% of u.s. airline flights arrived on time. find the probability that among 12 randomly selected flights exactly 10 arrive on time.
The probability that among 12 randomly selected flights, exactly 10 arrive on time is 0.1667
How do we calculate the probability?The probability that, among 12 randomly selected flights, exactly 10 arrive on time is 0.1667. This is calculated by using the binomial probability formula:
\(P(x) = nCx (p^x) (1-p)^{(n-x)}\)
Where:
n = 12 (number of flights)x = 10 (number of flights arriving on time)p = 0.815 (probability of one flight arriving on time)\(P(x) = 12C10 (0.815^{10}) (0.185)^2 = 0.1667\)
The probability that among 12 randomly selected flights, exactly 10 arrive on time is 0.1667
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the equation y = 5x + 2 is parallel to the equation y = -5x - 5.
the probability that the sample mean iq is greater than 120 is
The probability that the sample mean IQ is greater than 120 is 0.46017
Finding the probability of the sample meanFrom the question, we have the following parameters that can be used in our computation:
Mean = 118
SD = 20
For an IQ with a sample mean greater than 120, we have
x = 120
So, the z-score is
z = (120 - 118)/20
Evaluate
z = 0.10
Next, we have
P = p(z > 0.10)
Evaluate using the z-table of probabilities,
So, we have
P = 0.46017
Hence, the probability is 0.46017
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Question
In a large population of college-educated adults, the mean IQ is 118 with a standard deviation of 20. Suppose 200 adults from this population are randomly selected for a market research campaign. The probability that the sample mean IQ is greater than 120 is
The probability that the sample mean iq is greater than 120 is
how
to solve each step
26. The mass of an iron-56 nucleus is 55.92066 units. a. What is the mass defect of this nucleus? b. What is the binding energy of the nucleus? c. Find the binding energy per nucleon.
a. The mass defect of an iron-56 nucleus is 0.04334 units.
b. The binding energy of the nucleus is 492.52 MeV.
c. The binding energy per nucleon is 8.804 MeV.
The mass defect of an iron-56 nucleus is 0.04334 units. The mass defect is the difference between the mass of the nucleus and the sum of the masses of its individual protons and neutrons. It represents the mass that is converted into energy during the formation of the nucleus.
The binding energy of the nucleus is 492.52 MeV. The binding energy is the energy required to completely separate the nucleons (protons and neutrons) in the nucleus. It is a measure of the stability of the nucleus. The binding energy is equivalent to the mass defect of the nucleus multiplied by the speed of light squared (E = mc^2).
The binding energy per nucleon is 8.804 MeV. It is calculated by dividing the total binding energy of the nucleus by the number of nucleons in the nucleus. The binding energy per nucleon is a measure of the average amount of energy required to remove a nucleon from the nucleus. It is often used to compare the stability of different nuclei, with higher values indicating greater stability.
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Consider the function f(x) = x2 + 2x – 15. What are the x-intercepts of the function?
Step-by-step explanation:
X intercept, y = 0
x² + 2x - 15 = 0
x² + 5x - 3x - 15 = 0
x(x + 5) - 3(x + 5) = 0
(x + 5)(x - 3) = 0
x = -5 and x = 3
X - Intercept = (-5 , 0) and (3 , 0)
Answer:
Step-by-step explanation:
x^2 + 2x - 15 = 0
(x - 3)(x + 5) = 0
x = 3 or x = -5
left-most x-intercept: (-5, 0)
right-most x-intercept: (3, 0)
What is the remainder when when f(x)=x3+3x2−10x−14 is divided by (x-4) ?
Answer:
58
Step-by-step explanation:
With Horner's Method.
^^
The remainder when f(x) is divided by (x - 4) is 58.
What is Remainder?The value remaining after division is known as the Remainder. After division, we are left with a value if a number (dividend) cannot be divided entirely by another number (divisor). The remainder is the name for this amount.
As per the given data:
f(x) = x³ + 3x² - 10x - 14
To find the remainder when f(x) is divided by (x - 4).
Using the remainder theorem:
When f(x) is divided by (x - a) then the remainder is given by f(a).
Remainder when f(x) is divided by (x - 4):
f(4) = (4)³ + 3(4)² - 10(4) - 14
f(4) = 58
Hence, the remainder when f(x) is divided by (x - 4) is 58.
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Add.
7/4 + 2/3
help pls!!
Answer: 2 5/12
Step-by-step explanation: you multiply each number to 12 as the bottom number it’s hard to explain
ran 2 kilometers in 15 minutes, and Jada ran 3 kilometers in 20 minutes. Both ran at a constant speed. In kilometers, how far did Jada run in 60 minutes ?
PLZZZZZ HELP ASAP
Answer:
They did not run at the same speed. Calculation of their speed shows that Jada was running at a higher speed.
Step-by-step explanation:
Let's first calculate the speed of each person using the units provided so that we do not complicate the question.
speed = distance covered/time taken
Andre's speed = 2 km/15 min = 0.133 km/min
Jada's speed = 3km/20 min = 0.15 km/min
Clearly we can see that Jada was running at a higher speed than Andre. The question says they were running at constant speed not equal speed. That just means each person maintained their speed, they did not get faster or slower.
May you plz solve this
Answer:
42
Step-by-step explanation:
76-34=42
Answer:
42 degrees
Step-by-step explanation:
If you take 76 and subtract it from 34 you get 42 as your other angle.
suppose you have a binary randomized controlled experiment designed to measure the causal effect of x on y. let the control group be identified by x
The differences-of-means estimator, denoted by E(Y|X=1) -E(Y|X=0), is an estimator of the causal effect of X on Y because the differences-of-means estimator estimates that (A) the change in the expectation of Y as a result of an observation being in the treatment group as opposed to the control group.
What is binary?A binary number is a number that has been expressed using the base-2 or binary numeral system, which uses only two symbols, typically "0" and "1." With a radix of 2, the base-2 numeral system is a positional notation. A bit, or binary digit, is the term used to describe each digit. Two is used as the base representation for binary numbers. As an illustration, (101)₂ (101)₂. A bit is a term used to describe each digit in a binary number. As an illustration, the three-bit binary system (111)₂ (111)₂ is used.So, in the given situation: The differences-of-means estimator estimates the change in the expectation of Y as a result of an observation being in the treatment group as opposed to the control group, and is denoted by E(Y|X=1) -E(Y|X=0).
This estimator is used to determine the causal effect of X on Y.Therefore, the differences-of-means estimator, denoted by E(Y|X=1) -E(Y|X=0), is an estimator of the causal effect of X on Y because the differences-of-means estimator estimates that (A) the change in the expectation of Y as a result of an observation being in the treatment group as opposed to the control group.
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The complete question is given below;
Suppose you have a binary randomized controlled experiment designed to measure the causal effect of X on Y. Let the control group be identified by X = 0 and the treatment group by X = 1.
The differences-of-means estimator, denoted by E(Y|X=1) -E(Y|X=0), is an estimator of the causal effect of X on Y because the differences-of-means estimator estimates:
A. the change in the expectation of Y as a result of an observation being in the treatment group as opposed to the control group.
B. the expectation of Y for observations within the control group.
C. the expectation of Y for observations within the treatment group.
D. All of the above.
What is the measure of angel B in degrees?
Answer:
B) 32 degrees
Step-by-step explanation:
Firstly, identify that the sum of the interior angles of a triangle always equals 180 degrees. By looking at the side of angle A and C, we notice they are equal, which means the measure of the angles are equal. So 74 degrees plus 74 degrees equals 148 degrees. 180 degrees minus 148 degrees equals 32, which is the measure of angle B. Let me know if you have any further questions.
SHOW WORK PLEASE!!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
add hen sub ten bom anwwer200 divided by 5 what is the answer
Answer:
40
Step by Step:
200/5 = 40
The peak of a mountain is 197.35 feet above sea level. The bottom of a lake is 131.38 feet below the sea level. What is the difference in elevations between the top of the mountain and the bottom of the mountain lake?
Answer: 65.97
Step-by-step explanation:
Which of the following is true about the normal probability distribution with mean \muμ and standard deviation \sigmaσ?
a. No values can be more than 4, or P(X > 4) = 0P(X>4)=0.
b. Half of normally distributed data will fall below 0.
c. The area to the left of one standard deviation below the mean is equal to the area to the right of one standard deviation above the mean: P(X < \mu-\sigma) = P( X >\mu+\sigma)P(X<μ−σ)=P(X>μ+σ)
d. A larger standard deviation results in a skinnier/tighter curve.
e. When \sigma = 1σ=1, it is called standard normal distribution.
Therefore, options c and e are true regarding normal probability distribution with mean μ and standard deviation σ
To answer your question, let's briefly discuss each of the given options:
a. This statement is false. A normal probability distribution can have values beyond 4, depending on its mean and standard deviation.
b. This statement is false. Half of the normally distributed data falls below the mean, not necessarily 0.
c. This statement is true. In a normal distribution, the area to the left of one standard deviation below the mean is equal to the area to the right of one standard deviation above the mean.
d. This statement is false. A larger standard deviation results in a wider/spread-out curve, not a skinnier/tighter one.
e. This statement is true. When the standard deviation is 1 and the mean is 0, it is called the standard normal distribution.
Therefore, options c and e are true regarding normal probability distribution with mean μ and standard deviation σ.
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pls help i am on a timer
Answer: (x-6)(x+1)
Step-by-step explanation:
Sum : x2 − 5 x- 6
x2 + x-=6 x − 6
factor pair: x 2 + x − 6 x − 6
x( x+ 1 ) − 6 ( x + 1 )
rewrite from: x (x + 1 ) − 6 ( x + 1 )
(x-6)(x+1)
Answer:
A: (x-6)(x+1)
Step-by-step explanation:
We need to find 2 numbers that add to make -5 and multiply to make -6.
We already have the numbers infront of us, so by process of elimination we can remove B and D.
For the numbers, we need a positive number and a negative number (two negatives make a positive). We can eliminate C because at first -3 multiplied by 2 is -6. However, when -3 is added to 2 we get -1.
If we expand A, it makes the expression that needs to be factorised because...
-6 × 1 = -6
-6 + 1 = -5
So expanding it properly we get.
x² - 6x + x - 6
Simplify.
x² - 5x -6
HELP PLEASE LOOK AT IMAGEE BELOW
Answer:
y = 7x -9
Step-by-step explanation:
This is a linear equation.
The change in y over the change in x is 9. The y-intercept will be (0, -9).
If you follow the pattern as x is -1 and you go up 1 to zero, the the y goes up 7 from -16 to get -9
Answer:
y = 7x - 9
Step-by-step explanation:
y = 7x - 9
Let checks
-16 = 7(-1) - 9
-16 = -16
-23 = 7(-2) - 9
-23 = -23
So, y = 7x - 9 is the correct answer.
Solve the following equations: 2(3x–1)=9(x–2)–7
Answer:
23/3 or 7 2/3
Step-by-step explanation:
Answer:
23/3
Step-by-step explanation:
So we have the equation:
\(2(3x-1)=9(x-2)-7\)
First, distribute the left:
\(6x-2=9(x-2)-7\)
Now, distribute the right:
\(6x-2=9x-18-7\)
Subtract on the right:
\(6x-2=9x-25\)
Subtract 9x from both sides:
\(-3x-2=-25\)
Add 2 to both sides:
\(-3x=-23\)
Divide both sides by 3:
\(x=23/3\approx7.67\)
And we're done!
what is 7/9 divided by 6/8
Answer: \(\frac{28}{27}\) or \(1\frac{1}{27}\)
Step-by-step explanation:
\(\frac{7}{9} /\frac{6}{8} = \frac{7}{9}(\frac{8}{6})\)
\(\frac{7}{9} (\frac{8}{6} ) = \frac{28}{27}\)
\(\frac{28}{27} = 1 \frac{1}{27}\)
HELP HELP HELP PLEAASE
Answer:
Step-by-step explanation
Kf i help u wojld u help me
Answer: your answer will be 72 divided by 8
Step-by-step explanation: because they wanna know how many pages she put stickers on in if you divide it will tell you how many pages she put stickers on witch is 9
For the data given in Exercise 6. 5-3, with the usual assumptions. (a) Find a 95% confidence interval for y(x) when x = 68, 75, and 82 (b) Find a 95% prediction interval for Y when x = 68,75, and 82 Midterm Final Midterm Final 70 87 67 73
74 79 70 83
80 88 64 79
84 98 74 91
80 96 82 94
This question has been solved using R. The output is shown
A.
95% Confidence interval at (x = 68) = (75.28278, 85.11336)
95% Confidence interval at (x = 75) = (83.83844, 90.77724)
95% Confidence interval at (x = 82) = (89.10713, 99.72809)
B.
95% Confidence interval at (x = 68) = (75.28278, 85.11336)
95% Confidence interval at (x = 75) = (83.83844, 90.77724)
95% Confidence interval at (x = 82) = (89.10713, 99.72809)
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Is 8 a rational number integer or whole number
Answer:
8 is a rational number, an integer, and a whole number.
Step-by-step explanation:
rational numbers are numbers that repeat with a definite pattern, and/or terminate (finite amount of decimal points)
Answer: intager and whole number
Step-by-step explanation:
Ratianal number =Any number that can be written as a ratio (or fraction) of two integers
Intager=An integer is a whole number (not a fractional number) that can be positive, negative, or zero.
Whole number=The numbers that include natural numbers and zero. Not a fraction or decimal
Part E
While diving, Winston stopped at a point located halfway between his deepest dive and the ocean’s surface. At what elevation was Winston when he stopped halfway? PLzzzzzz HURRRY UUUPPP Ill give whoever answers this RIGHT NOW 100pts, no joke
Answer:
im pretty sure that the answer is -50.5 feet.
Step-by-step explanation:
Find the volume of a pyramid with a square base, where the perimeter of the base is
12.8
m
12.8 m and the height of the pyramid is
17
m
17 m. Round your answer to the nearest tenth of a cubic meter.
The volume of the pyramid is 57.9 cubic meters.
We have,
The volume of a pyramid with a square base can be found using the formula:
V = (1/3) x B x h
where B is the area of the base and h is the height of the pyramid.
For a square base, the area of the base is given by:
B = s²
where s is the length of one side of the square.
The perimeter of the base is 12.8 m.
Since the base is a square, each side has a length s:
= 12.8 m / 4
= 3.2 m.
We are also given that the height of the pyramid is 17 m.
Using these values, we can find the volume of the pyramid:
B = s² = (3.2 m)² = 10.24 m²
V = (1/3) x B x h
= (1/3) x 10.24 m² x 17 m
= 57.95 cubic meters
Rounding to the nearest tenth, we get,
V = 57.9 cubic meters.
Therefore,
The volume of the pyramid is 57.9 cubic meters.
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In a 30-60-90 triangle, the smallest side measures inches 6v10 inches. Which is the exact measure for the largest side? a. 12v10 inches b. 2v30 inches c. 3v10 inches a. 6v5 inches
The exact measurements for the largest side is 12√10 inches. Hence option a is the correct option.
What is the right triangle?
A right triangle or right-angled triangle, or more formally an orthogonal triangle, formerly known as a rectangle triangle, is a triangle with one right angle, i.e. two perpendicular sides. Trigonometry is founded on the relationship between the sides and other angles of a right triangle.
Given that the angles of a triangle are 30-60-90.
The smallest angle is always opposite the shortest side, and vice versa. The longest side is also opposite the largest angle, and vice versa.
The opposite side of angle 30 is the shortest side of the triangle.
The opposite side of angle 90 is the longest side of the triangle.
Sine law:
a/sin A = b/ sin B =c/sin C
a is the opposite side of angle A, b is the opposite side of angle B, c is the opposite side of angle C.
Assume that the length of the longest side is a.
Applying sine law in the given triangle:
6√10/sin 30 = a/sin 90
6√10/(1/2)= a/1
a = 12√10
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in a certain shipment of 18 18 computers, 6 6 are defective. 9 9 of the computers are selected at random without replacement. what is the probability that 4 4 of the 9 9 computers are defective? express your answer as a fraction or a decimal number rounded to four decimal places.
The probability that 4 of the 9 computers are defective is given by expression 0.3665.
It may be calculated by dividing the number of positive outcomes by the total number of potential outcomes. It is the attribute or state of being probable, the degree to which something is likely to happen. In other words, it is a way to gauge how likely an event is to occur.
out of 18 phones, 6 are defective. 9 of the phones are selected at random without replacement.
the probability that 4 of the 9 phones are defective
18 phones- 6 defective , 12 non-defective
9 phones- 4 defective , 5 non-defective
Required probability = \(\frac{^6 C_4*^1^2C_5 }{^1^8C_9}\)
= 15x1188 / 48620
P = 0.3665
after rounding we get 0.3665.
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Complete question:
in a certain shipment of 18 computers, 6 are defective. 9 of the computers are selected at random without replacement. what is the probability that 4 of the 9 computers are defective? express your answer as a fraction or a decimal number rounded to four decimal places.
10 points !!
Which expression is equivalent to this polynomial x^2+12
Answer:
expand x^2+12 --> results in Athe probability that 2 randomly selected points from Q,R,S,T and W are noncollinear is
Answer:
2/5Step-by-step explanation:
Probability is the likelihood or chance that an event will occur.
Probability = Expected outcome/Total outcome
Since we are to find the probability that 2 randomly selected points from Q,R,S,T and W are non-collinear
Non collinear points are points that doesn't lie on the same straight line. From the diagram given, the two point that are non colliear are (QR, QS, QT and QW making 4 2random non collinear points. Hence out expected number of outcome is 4.
For the total possible outcome, we are to find the number of ways we can randomly select two points from the 5 points given and this can be done using the combination rule.
This can therefore be done in 5C2 number of ways.
5C2 = 5!/(5-2)!2!
5C2 = 5!/3!2!
5C2 = 5*4*3*2*1/3*2*2
5C2 = 5*2
5C2 = 10 different ways
Hence the total possible outcome is 10
Therefore, the probability that 2 randomly selected points from Q,R,S,T and W are noncollinear will be 4/10 = 2/5
Whose limeade has a weaker like flavor?
well, your proportion setup is good, let's simply use that then
\(\stackrel{Jaylan}{\cfrac{~~ \frac{ 3}{4 } ~~}{\frac{1}{5}}}\implies \cfrac{3}{4}\cdot \cfrac{5}{1}\implies \cfrac{15}{4}\implies \cfrac{3\frac{3}{4}}{1}~\frac{water}{lime} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{Wanchen}{\cfrac{~~ \frac{ 2}{3 } ~~}{\frac{1}{6}}}\implies \cfrac{2}{3}\cdot \cfrac{6}{1}\implies \cfrac{12}{3}\implies \cfrac{4}{1}~\frac{water}{lime}\)
well, the one with the lesser lime flavor will be the one that put too much water in the drink, the more water the less the fruit mix, the more waterdowned the drink is, well hell who put more water per lime? well Wanchen, shame on you.