The average rent in a city is $1,500 per month with a standard deviation of $200. Assume rent follows the normal distribution. [You may find it useful to reference the z table.] a. What percentage of rents are between $1,300 and $1,700 ? (Round your answer to 2 decimal places.) b. What percentage of rents are less than $1,300 ? (Round your answer to 2 decimal places.) c. What percentoge of rents are greater than $1,900 ? (Round your answer to 2 decimal places.)
The percentage of rents that are greater than $1,900 is 2.28%.
a) What percentage of rents are between $1,300 and $1,700?The average rent in a city is $1,500 per month with a standard deviation of $200.
Assume rent follows the normal distribution.z = (x - μ) / σLet X be a random variable denoting the rent in a city.
Then,μ = $1500σ = $200z1 = (1300 - 1500) / 200 = -1z2 = (1700 - 1500) / 200 = 1P(1300 < X < 1700) = P(-1 < z < 1) = P(z < 1) - P(z < -1) = 0.8413 - 0.1587 = 0.6826
Therefore, the percentage of rents that are between $1,300 and $1,700 is 68.26%.
b) What percentage of rents are less than $1,300?z = (x - μ) / σz = (1300 - 1500) / 200 = -1P(X < 1300) = P(Z < -1) = 0.1587Therefore, the percentage of rents that are less than $1,300 is 15.87%.
c) What percentage of rents are greater than $1,900?z = (x - μ) / σz = (1900 - 1500) / 200 = 2P(X > 1900) = P(Z > 2) = 0.0228
Therefore, the percentage of rents that are greater than $1,900 is 2.28%.
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a train travels 24 miles in 30 minutes at this rate how many minutes will it take the train to travel 36 miles?
Answer:
45 minutes
Step-by-step explanation:
1/2 of 24 is 12
24 + 12 is 36
1/2 of 30 is 15
30 + 15 is 45
Answer:
The answer is 42
Step-by-step explanation:
36 miles minus 24 mil3s equals 12 so you plus 30 minutes 12 eq 42 minute.
19. Which of the following expressions can be used to calculate the area of a square with side length 5 inches?
O 5.5
05.4
O 5+5
O5+4
Answer:
5 × 5
Step-by-step explanation:
the area (A) of a square is calculated as
A = s² ( s is the side length ) , then
A = 5² = 5 × 5 = 25 in²
Find the measurement of angle x.
The measure of angle x in the right triangle is approximately 14.6 degrees.
What is the measure of angle x?The figure in the image is that of two right angles.
First, we determine the hypotenuse of the left-right angle.
Angle θ = 30 degrees
Adjacent to angle θ = 10 cm
Hypotenuse = ?
Using the trigonometric ratio.
cosine = adjacent / hypotenuse
cos( 30 ) = 10 / hypotenuse
hypotenuse = 10 / cos( 30 )
hypotenuse = \(\frac{20\sqrt{3} }{3}\)
Using the hypotenuse to solve for x in the adjoining right triangle:
Angle x =?
Adjacent to angle x = \(\frac{20\sqrt{3} }{3}\)
Opposite to angle x = 3
Using the trigonometric ratio.
tan( x ) = opposite / adjacent
tan( x ) = 3 / \(\frac{20\sqrt{3} }{3}\)
tan (x ) = \(\frac{3\sqrt{3} }{20}\)
Take the tan inverse
x = tan⁻¹( \(\frac{3\sqrt{3} }{20}\) )
x = 14.6 degrees
Therefore, angle x measures 14.6 degrees.
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find the probablity of pulling out 3 marbles of the same color without replacemnt
The probability of pulling out 3 marbles of the same color without replacement is 1/27.
Let's say there are 9 marbles in the bag, and 3 of them are the same color. The probability of pulling out the first marble of the same color is 3/9. Once we've pulled out the first marble, there are only 8 marbles left, and 2 of them are the same color. So, the probability of pulling out the second marble of the same color is 2/8. And finally, the probability of pulling out the third marble of the same color is 1/7.
We can multiply these probabilities together to get the probability of pulling out 3 marbles of the same color without replacement:
P(3 marbles of the same color) = 3/9 * 2/8 * 1/7 = 1/27
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The probability of pulling out 3 marbles of the same color without replacement is 1/27.
Let's say there are 9 marbles in the bag, and 3 of them are the same color. The probability of pulling out the first marble of the same color is 3/9. Once we've pulled out the first marble, there are only 8 marbles left, and 2 of them are the same color. So, the probability of pulling out the second marble of the same color is 2/8. And finally, the probability of pulling out the third marble of the same color is 1/7.
We can multiply these probabilities together to get the probability of pulling out 3 marbles of the same color without replacement:
P(3 marbles of the same color) = 3/9 * 2/8 * 1/7 = 1/27
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x² - 10 - 3 x² + 5×-8
hello please solve and give a solution thankyou!!
Answer:
-2x2 - 50
Step-by-step explanation:
First, you collect the like terms:
x2 - 3x2 + 5 x -8 -10
Do multiplication first:
x2 - 3x2 + (-40) - 10
Combine the terms:
-2x2 - 50
Answer:
5 star of you
Step-by-step explanation:
you are cool dictator
May someone please help me.
Answer: x=9
Step-by-step explanation:
Here the given angles are,
50,80,6x-4
The sum of the angles of a triangle is 180 degrees and hence
50+80+6x-4=180
130+6x-4=180
126+6x=180
6x=180-126
6x=54
x=54/6
x=9
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durante un frente frío, la temperatura Canadá bajó de 7°C a -5°C ¿Cuántos grados bajo la temperatura
Answer:
Durante el frente frío mencionado en el ejercicio, la temperatura de Canadá bajó:
12°C.Step-by-step explanation:
Para obtener la cantidad de grados que bajó la temperatura en el caso mencionado, debes primero identificar la disminución en los grados positivos, es decir, cuando los grados Celsius llegaron a 0°C:
Diferencia entre 7°C y 0°C = 7°CEn la operación matemática, solo restante la cantidad de grados necesarios a la temperatura inicial (7°C) para que la temperatura quedara en 0°C, donde obtenemos una diferencia de 7°C, ahora identificas la cantidad de grados que se necesitan para que la temperatura pase de 0°C a -5°C:
Diferencia entre 0°C y -5°C = 5°CRecuerda que como ya estamos hablando de diferencia, no necesitas señalar si los grados son negativos, solo identificamos el número de grados Celsius entre esas temperaturas mencionadas, por lo tanto, al final sumas las dos diferencias halladas y esa será la diferencia total entre las dos temperaturas dadas:
Diferencia entre 7°C y -5°C = 7°C + 5°CDiferencia entre 7°C y -5°C = 12°CPor lo tanto, durante el frente frío mencionado, la temperatura en Canadá bajó 12°C.
What is 4 1/3 times 4 3/5
Answer:
19 14/5
Step-by-step explanation:
4 1/3 x 4 3/5
13/3 x 23/5
299/15 = 19 14/5
Answer:
Step-by-step explanation:
\(4\frac{1}{3}\) × \(4\frac{3}{5}\)
= \(\frac{13}{3}\) × \(\frac{23}{5}\)= \(\frac{299}{15}\)
= \(19\frac{14}{15}\).
Solove for x 3/2+1/2x=2x
Answer:
x = 1
Step-by-step explanation:
Step 1: Subtract 2x from both sides.
\(\frac{1}{2}x + \frac{3}{2} -2x = 2x - 2x\) \(-\frac{3}{2}x + \frac{3}{2} = 0\)Step 2: Subtract 3/2 from both sides.
\(-\frac{3}{2}x + \frac{3}{2} - \frac{3}{2} = 0 - \frac{3}{2}\) \(-\frac{3}{2}x = -\frac{3}{2}\)Step 3: Multiply both sides by -2/3.
\(-\frac{3}{2}x * -\frac{2}{3} = -\frac{3}{2} *- \frac{2}{3}\) \(x = 1\)Step 4: Check if solution is correct.
\(\frac{3}{2} + \frac{1}{2}(1) = 2(1)\) \(\frac{3}{2} + \frac{1}{2} = 2\) \(\frac{4}{2} = 2\) \(2 = 2\)Therefore, x = 1.
Have a lovely rest of your day/night, and good luck with your assignments! ♡
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Exercise 1-9 (Algo) Using the accounting equation LO A1 Determine the missing amount from each of the separate situations given below.
The accounting equation is a fundamental principle in accounting that states that assets equal liabilities plus equity. Using this equation, missing amounts can be determined in various situations.
The accounting equation is expressed as Assets = Liabilities + Equity. It serves as the foundation for double-entry bookkeeping and ensures that the financial statements are balanced. By rearranging the equation, missing amounts can be determined.
For example, if the assets and equity are given, the missing amount of liabilities can be calculated by subtracting equity from assets. Conversely, if the liabilities and equity are known, the missing amount of assets can be calculated by adding liabilities to equity.
Similarly, if the assets and liabilities are provided, the missing amount of equity can be calculated by subtracting liabilities from assets. Alternatively, if the assets and equity are known, the missing amount of liabilities can be calculated by subtracting equity from assets.
In each situation, the missing amount can be determined by applying the accounting equation and rearranging it to solve for the missing variable. This equation provides a framework for ensuring that all financial transactions are properly recorded and that the financial statements accurately reflect the financial position of a business.
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Express the following fraction in simplest
form, only using positive exponents.
(4qh-3)-2
12q8h8
Answer:
Screenshot and post it please
Step-by-step explanation:
what is an angle? how do you describe an angle?
Answer:
An angle is the space (usually measured in degrees) between two intersecting lines or surfaces at or close to the point where they meet.
"in any triangle, the longest side is opposite the largest angle"
Step-by-step explanation:
Answer:
an angle is a In-plane geometry, an angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle. An angle is denoted using the symbol. and you can describe an angle by looking for the figure formed by two rays meeting at a common end point.
Step-by-step explanation:
hope this helps you
What is the coordinate of M?
Answer:
(3, 2)
Step-by-step explanation:
no explanations; just use the graph on the picture.
T/F Solution that can be analytically obtained but is not an actual answer to the equation often due to restrictions in the type of function such as a negative in the log
T/F Solution that can be analytically obtained but is not an actual answer to the equation often due to restrictions in the type of function such as a negative in the log
This statement is true.
Because, Sometimes, when solving an equation using analytical methods, we may arrive at a solution that is mathematically correct but is not a valid answer due to the restrictions in the type of function used.
For example, if a negative value appears in the logarithmic function, the solution may not be valid because the logarithmic function is only defined for positive values.
In such cases, we need to go back and recheck our work and take into account the restrictions of the function to arrive at a valid solution.
Sometimes when solving an equation analytically, the resulting solution may not be a valid answer due to restrictions in the domain of the function.
For example, if we solve an equation involving a logarithmic function, we may end up with a negative value inside the logarithm, which is not defined for real numbers. In such cases, the solution obtained analytically is not a valid answer to the equation.
Another example is when solving for the roots of a quadratic equation using the quadratic formula, we may obtain complex solutions even though we are only interested in real solutions.
Thus, it is important to always check the solutions obtained to ensure that they satisfy any domain or range restrictions of the functions involved in the equation.
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The equation y = –2x determines a linear function. Which table lists the coordinates of three ordered pairs that lie on the graph of this function?
Answer:
A
Step-by-step explanation:
-4 x -2 = 8
-1 x -2 = 2
3 x -2 = -6
So the answer is !
Choose all of the following angles that cannot be an interior
angle in a regular polygon.
40 72° 108° 148° 179°
The angles that cannot be an interior angle in a regular polygon are 40 72° 108° 148°
A polygon is a closed polygonal chain made up of a limited number of straight line segments and is a type of planar figure in geometry. A polygon is an area that is bordered by a bounding circuit, a bounding plane, or both. A polygonal circuit's segments are referred to as its edges or sides.
A regular polygon has equal internal angles all around. A polygon's interior angle is calculated using the following formula: interior angle of a polygon = sum of interior angles number of sides. The total of a polygon's outer angles is 360°.
Given the different angles in degree.
We have to find angle which can't be interior angle in a regular polygon
We apply the formula for each angle = (n - 2) 180 / n to determine the size of each interior angle of a regular polygon.
Let the interior angle be 108 degree
(n - 2) 180 / n = 108
n = 0.5 not possible
Let the interior angle be 148 degree and 179 degree
(n - 2) 180 / n = 148
n = 1.125 not possible
(n - 2) 180 / n = 179
n = 36 possible
Let the interior angle be 40 degree and 72 degree
(n - 2) 180 / n = 40
n = 0.9 not possible
(n - 2) 180 / n = 72
n = 0.33 not possible
Hence angles that cannot be an interior angle in a regular polygon are 40 72° 108° 148°
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The angles that cannot be an interior angle
in a regular polygon are 40 72° 108° 148°
A polygon is a planar figure in which closed polygonal chain made up of a limited number of straight line. A polygon is an area that is bounded by a bounding circuit or a bounding plane or both.
A regular polygon is a polygon which has equal internal angles all around it.
In a polygon, the interior angle = sum of interior angles number of sides.
Total outer angle of a polygon is 360°.
Here we have to find the angle which can't be an interior angle of a regular polygon.
The size of each interior angle of a regular polygon = [(n-2)×180°] /n
1. 108 degree
[(n-2)×180°] /n = 108
180n - 360 = 108n
72n=360
n = 0.2 This is not possible since n is a natural number
2. 148 degree
[(n-2)×180°] /n = 148
180n - 360 = 148n
72n=360
n = 0.2 This is not possible since n is a natural number
Let the interior angle be 148 degree and 179 degree
(n-2) 180 / n = 148
n = 1.125 not possible
(n-2) 180 / n = 179
n = 36 possible
Let the interior angle be 40 degree and 72 degree
(n-2) 180 / n = 40
n = 0.9 not possible (n-2) 180 / n = 72
n = 0.33 not possible
Hence angles that cannot be an interior angle in a regular polygon are 40 72° 108° 148°
polygon ABCD is similar to polygon ZYXW list the relationships between angles and sides
The corresponding sides and angles of two polygons ABCD and ZYXW must be proportionate if they are identical.
What does a polygon shape mean?With straight sides around its perimeter, a polygon is really a circular, two-dimensional, flat of planar structure. Its sides are straight with no bends. Another term for a polygon's sides is its edges. The points at which two sides of a polygon converge are known as its vertices (or corners). These are numerous examples of polygonal geometry.
Has a polygon always had four sides?A closed polygon is a form with more than three sides. A quadrilateral is a 4-sided polygonal shape. A quadrilateral is any closed 4-sided form, however there are six particular quadrilaterals with distinctive characteristics that give them their own names.
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HELPPPPPP PLSSSSSSSS
Answer:
hmmmm help rin ako po please
what's the pattern? 7,11,19,35
The pattern of each number changes.. they are all factors of 4, the 4 turns into 8, than the 4 or 8 turns into 16.
7+4=11
11+8=19
19+16=35
[4×2=8, 8×2=16]
Please help me with this question. Thanks!
The polynomials can be classified as :
2x² is quadratic monomial, -2 is constant monomial, 3x - 9 is linear binomial and -3x² - 6x + 9 is quadratic trinomial.
Polynomials can be classified as constant, linear, quadratic, etc, based on the degree of the variable as 0, 1, 2, etc.
Polynomials can be classified as monomials, binomials and trinomials based on number of terms as 1, 2 or 3 respectively.
2x²
Highest degree of the variable is 2. So this is quadratic.
There is only one term. So it is monomial.
-2
There are no variables or degree is 0. So this is constant.
There is only one term. So it is monomial.
3x - 9
Highest degree of the variable is 1. So this is linear.
There are 2 terms 3x and -9.So it is binomial.
-3x² - 6x + 9
Highest degree of the variable is 2. So this is quadratic.
There are 3 terms, -3x², -6x and 9. So it is trinomial.
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HELP ME ASAP I NEED HELP
Answer:
distance = 7.07 units
Step-by-step explanation:
x difference = 7
y difference = -1
using the Pythagorean theorem:
7² + -1² = d²
d² = 49 + 1 = 50
d = 7.07
Answer:
7.1
Step-by-step explanation:
distance between the x is 7 and y is 1
And to find the hypotenuse, you use the quadratic formula, 7^2 + 1^2 = c^2
c=50
and take the square root, which is 7.071, rounds to 7.1
if the simple interest on $3,000 for 2 years is 300 then what is the interest rate
Answer:
The class sociologist Max Weber formulated a three-component theory of stratification that saw political power as an interplay between “class”, “status” and “group power. ” Weber theorized that class position was determined by a person’s skills and education, rather than by their relationship to the means of production
Answer:
Does that make sense??
Step-by-step explanation:
Have A Wonderful Day !!
the school picnic is a two-day weekend event. it has been scheduled for may. the area routinely gets 16 rainy days in may. what is the probability that the weekend will be dry?
The probability of the weekend being dry for the school picnic is approximately 23.4%.
First, let's define some terms:
1. Probability: The likelihood of a specific event happening
2. Picnic: The school event that is scheduled for a two-day weekend in May
3. Rainy: Refers to days with rain
Now, let's calculate the probability that the weekend will be dry:
There are 16 rainy days in May, and May has 31 days. So, there are (31 - 16) = 15 dry days in May.
Each weekend has two days. Since May has 31 days, there are (31 / 7) = approximately 4.43 weeks in May. To account for the remaining days, we round down to 4 weeks and add the remaining 2 days as another weekend, resulting in 5 weekends.
Now, we'll determine the probability of having a dry day on any given day in May:
Dry day probability = (number of dry days) / (total days in May) = 15 / 31 ≈ 0.484
Since we want the probability of having two consecutive dry days (the whole weekend), we'll multiply the probabilities of each day being dry:
Weekend probability of being dry = (dry day probability) * (dry day probability) ≈ 0.484 * 0.484 ≈ 0.234
So, the probability of the weekend being dry for the school picnic is approximately 23.4%.
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7 is 75% of what number?
Answer:
9 1/3
Step-by-step explanation:
7 - 75%
x - 100%
\(\frac{7 * 100}{75} = 9\frac{1}{3}\)
Answer:
7 is 75% of What Number? - 7 is 75% of 9.33. 100% of 9.33 is 9.33, therefore 75 percent of 9.33 equals 7.
Step-by-step explanation:
7 is 75% of What Number? - 7 is 75% of 9.33. 100% of 9.33 is 9.33, therefore 75 percent of 9.33 equals 7.
food in
number of
days
grams
1
7
30
Answer:
30
Step-by-step explanation:
This is most accurate, the rest do not make sense, please mark brainliest!
Factorize completely
- 3a² + 4a + 4
a) Write down the next two numbers in the following sequent
33
22
45
12
10
Select all the expressions that are greater than 1.
Group of answer choices
5 ÷ 9/10
3/5 ÷ 6
4/5 ÷ 3/7
2 3/5 ÷ 1 3/5
12/5 ÷ 13/5
Answer:
Step-by-step explanation:
That was help ahle
The expressions that are greater than 1 will be 5 ÷ 9/10,4/5 ÷ 3/7 and 2 3/5 ÷ 1 3/5.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
In order to find the value of an expression greater than 1 we have to obtain the value of each expression.
The expression is solved by using the division arithmetic operation. In which we divide one term by another.
The number being divided is referred to as the dividend, and the number being divided by it is referred to as the divisor. The quotient is the outcome of the division.
The value of expressions are as,
1) 5 ÷ 9/10 = 5.5555
2)3/5 ÷ 6 = 0.1
3)4/5 ÷ 3/7 = 1.888
4)2 3/5 ÷ 1 3/5 = 1.625
5)12/5 ÷ 13/5 = 0.923
Thus, the expressions that are greater than 1 will be 5 ÷ 9/10,4/5 ÷ 3/7 and 2 3/5 ÷ 1 3/5.
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