\(33 \: inches \times \frac{1}{3} = 11 \: inches\)
The measure in the scale drawing would be 11 inches.
Of the 650 students at Harrison Middle School, 40% made the honor roll last semester. How many students made the honor roll last semester?
A.
520
B.
260
C.
16
D.
610
Answer:
B 260
Step-by-step explanation:
650 x 0.4 = 260
Answer:
B. 260
I. 650 x 0.4 = 260
Ii. 650 ÷ 100 × 40 = 260
III. in my head I usually find percentage answers quickly by working in 10% increments. Move the decimal one place to the left, giving 65 (10%) and then multiply 65 by 4 (or 70 x 4, take 20- if you find the nearest ten easier).
Match each expression with the equivalent expanded expression.
0.5 (2x + 3)
- 10x - 3
1/3 ( 9 +81)
8x - 4
-5 (2x + 3/5)
-2x + 3
2 (4x-2)
x + 1.5
-3 (2/3x - 1)
30
Answer:
Question
Match each expression with the equivalent expanded expression.
0.5 (2x + 3)
- 10x - 3
1/3 ( 9 +81)
8x - 4
-5 (2x + 3/5)
-2x + 3
2 (4x-2)
x + 1.5
-3 (2/3x - 1)
30
Answer:
Step-by-step explanation:
Step-by-step explanation:
Question
Match each expression with the equivalent expanded expression.
0.5 (2x + 3)
- 10x - 3
1/3 ( 9 +81)
8x - 4
-5 (2x + 3/5)
-2x + 3
2 (4x-2)
x + 1.5
-3 (2/3x - 1)
30
Answer:
Step-by-step explanation:
Answer:
Here is the correct match up
Got it wrong on edge 2022
So here <3
Step-by-step explanation:
Determine the density of a proton. For a sphere \( V=\left(\frac{4}{3}\right) \pi r^{3} \). Express the density to two significant figures.
The density is 1.7 x 10^-27 kg/m^3.
The density of a proton can be determined by calculating its mass and volume. Given the volume of a sphere, the density of a proton can be expressed to two significant figures.
To determine the density of a proton, we need to calculate its mass and volume. The mass of a proton is approximately 1.67 x 10^-27 kilograms. The volume of a sphere is given by the formula V = (4/3)πr^3, where r is the radius. Since a proton is considered a point particle, it does not have a defined radius. Therefore, we assume the radius to be extremely small, close to zero. Substituting this value into the volume equation, we get V = (4/3)π(0)^3 = 0. However, the mass of the proton remains unchanged. Thus, the density of a proton is approximately 1.67 x 10^-27 kilograms per cubic meter. Rounded to two significant figures, the density is 1.7 x 10^-27 kg/m^3.
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the width of a rectangle is 4ft more than twice the width. the perimeter of the rectangle is 26ft. What are the dimensions of the rectangle?
Let w represent the width.
The length of the given rectangle is 4ft more than twice the width. The perimeter of the particular rectangle is 26ft. Length and width of the rectangle is \(10ft\) and \(3ft\)
As per the question statement, The length of the given rectangle is 4ft more than twice the width. The perimeter of the particular rectangle is 26ft.
We are supposed to find out dimensions of the rectangle.
Let length of the rectangle = l
Width of the rectangle = w
\(l = 4 + 2w\)
Perimeter of rectangle = \(2(l+w)\)
Above mentioned are the given conditions in the linear equation form.
Perimeter of rectangle = \(2(l+w)\) = 26 ft.
\(l+w = \frac{26}{2}\)
\(l+w =13\)
substituting \(l = 4 + 2w\)
\(4+2w+w=13\\4+3w=13\\3w=13-4=9\\w=\frac{9}{3}\)
\(w=3\)
Hence width is 3ft.
Now length, \(l = 4 + 2w\)
\(l=4+2*3\\l=4+6\\l=10\)
And length is 10ft.
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if a storage facility charges $1 per cubic yard and the storage space is 32 ft. by 160 ft. by 10 ft. high, how much is the storage charge?
If a storage facility charges $1 per cubic yard and the storage space is 32 ft. The storage charge is $1999.97.
What is mathematical conversions?
Mathematical conversions refer to the process of changing one unit of measurement to another unit of measurement that is equivalent in value.
First, we need to convert the dimensions from feet to yards, since the rate is given per cubic yard.
32 feet = 10.6667 yards (dividing by 3)
160 feet = 53.3333 yards (dividing by 3)
10 feet = 3.3333 yards (dividing by 3)
Next, we can calculate the volume of the storage space in cubic yards by multiplying the three dimensions:
Volume = 10.6667 yards x 53.3333 yards x 3.3333 yards
Volume = 1999.97 cubic yards (rounded to two decimal places)
Finally, we can calculate the storage charge by multiplying the volume by the rate:
Charge = 1999.97 cubic yards x $1/cubic yard
Charge = $1999.97
Therefore, the storage charge is $1999.97.
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a professor at a local university noted that the exam grades of her students were normally distributed with a mean of 65 and a standard deviation of 18. according to the professor's grading scheme only the top 12.3 percent of her students receive grades of a. what is the minimum score needed to receive a grade of a?
The minimum score needed to receive a grade of A is approximately 86.06.
To find the minimum score needed to receive a grade of A, we need to determine the cutoff point that corresponds to the top 12.3 percent of students in a normal distribution with a mean of 65 and a standard deviation of 18.
First, we need to find the z-score associated with the top 12.3 percent.
The z-score represents the number of standard deviations a data point is from the mean.
Using a standard normal distribution table or a calculator, we can find the z-score that corresponds to the top 12.3 percent.
The z-score is approximately 1.17.
Next, we can use the formula for z-score conversion to find the corresponding score value:
z = (x - μ) / σ
Rearranging the formula to solve for x (the score):
x = z * σ + μ
Plugging in the values:
x = 1.17 * 18 + 65
x ≈ 86.06
Therefore, the minimum score needed to receive a grade of A is approximately 86.06.
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The positive angle between 0 and 2 in radians that is coterminal with the angle −143 in radians is
The positive angle between 0 and 2 radians that is coterminal with the angle −143 radians is 1.057 radians, which is equal to 59.8°.
To find the positive angle in radians that is coterminal with −143 radians, we must first convert the negative angle to its equivalent positive angle. The angle −143 radians is equivalent to the angle 2π - 143 radians. We can calculate this by using the formula 2π + x = 2π - |x|, where x is the given angle. In this case, x = −143. Applying this formula, we get 2π + (−143) = 2π - |−143| = 2π - 143. This is the equivalent positive angle of the given negative angle. To find the positive angle that is coterminal with the positive angle we just found, we must subtract it from 2π until we get a value that is between 0 and 2π. To do this, we subtract 2π - 143 from 2π until we get a value that is between 0 and 2π. After subtracting 2π - 143 from 2π multiple times, we get the result 1.057 radians, which is equal to 59.8°. Therefore, the positive angle between 0 and 2 radians that is coterminal with the angle −143 radians is 1.057 radians.
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A building casts a 33 m shadow when the Sun is at an angle of 26. to the vertical. How tall is the the building, to the nearest meter? Use a trigonometric ratio to find the distance FE. A building casts a 33 m shadow when the Sun is at an angle of 26. to the vertical. How tall is the building, to the nearest meter? Use a trigonometric ratio to find the distance F E.
so basically we just us do this
tan(26)=33/FE
Multiply to get rid of fraction
tan(26)FE=33
divide to get FE alone
FE = tan(26) * 33
FE=16.0951m
so it should be 16.0951m
what is the equation of the least squares regression line that describes the rela- tionship between operating cost per hour and number of passenger seats in the
The relationship between operating cost per hour and the number of passenger seats is shown by the equation of the least squares regression line, where y=1136+14.673x is the expected operating cost per hour and x is the number of passenger seats.
Why do you use the word "square"?a plane figure in geometry with four equal sides and four right angles of 90 degrees. A square is both an equilateral rectangle and a special kind of parallelogram (an equilateral and equiangular one).
the parallelogram in detail.In Euclidean geometry, a parallelogram is a simple quadrilateral having two sets of parallel sides. The confronting or opposed sides and the opposing angles of a parallelogram are of equal length.
based on the available facts;
y=1136+14.673x
where
x= number of passenger seat
y=predicted operating cost per hour.
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Figure ABCD is a rectangle.Find the value of x. help !!!
Answer:
x=1solution,
In rectangle, the diagonal bisects each other,
BE=ED
\(2x + 4 = 7x - 1 \\ or \: 2x - 7x = - 1 - 4 \\ or \: - 5x = - 5 \\ or \: x = \frac{ - 5}{ - 5} \\ x = 1\)
Hope this helps..
Good luck on your assignment..
Answer the question in the pic :)
A student's four test grades are stored in cells a10, b10, c10, and d10. which excel statement will calculate the test average of these 4 grades?
The excel statement to estimate the test average of these 4 grades is -
Click a cell just below column or on the right of the row containing the numbers you want to average.Click the arrow next to AutoSum > Average on the HOME tab, then press Enter.What is termed as average function?An average is the sum of many numbers divided by the total of numbers. It is also known as the arithmetic mean.
Assume we have the following sequence of numbers: 1, 2, 3, 4, 1, 2, and 3. The sum of the these numbers is 16, and the number of numbers divided by 7 is 2.28. As a result, the average of the these numbers is 2.28.In Microsoft Excel, how do you find the average?The average of multiple cells in Microsoft Excel and other spreadsheets can be calculated using the appropriate formula. The formula in the following example calculates the average of the values found in cells A1 through F1 of the first column : =AVERAGE(A1:F1)You would use the same row but modify the cells to cells in a row to calculate the average of cells in one row. For instance, the formula recognizes the average value in cells A1 via A20 when placed in cell A21. =AVERAGE(A1:A20)To know more about the Microsoft Excel, here
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the strength of a mechanical component follows a lognormal distribution with a mean of 200 mpa and standard deviation of 25 mpa. (a) what is the probability that the component will have strength less than 180 mpa? (b) what is the 95% percentile strength?
The probability that the component will have strength less than 180 MPa is about 21.19%, and the 95th percentile strength is approximately 259.3 MPa.
(a) To find the probability that the component will have strength less than 180 MPa, we need to standardize the variable using the formula:
Z = (X - μ) / σ
where X is the strength value, μ is the mean, and σ is the standard deviation.
In this case, we have:
Z = (180 - 200) / 25 = -0.8
We can then use a standard normal distribution table or calculator to find the corresponding probability. The area to the left of Z = -0.8 is approximately 0.2119. Therefore, the probability that the component will have strength less than 180 MPa is 0.2119 or about 21.19%.
(b) To find the 95th percentile strength, we need to find the strength value that separates the top 5% of the distribution from the rest. We can use the inverse cumulative distribution function (CDF) of the lognormal distribution to find this value.
Using a statistical software or calculator, we find that the 95th percentile strength is approximately 259.3 MPa. This means that 95% of the component strengths are below 259.3 MPa and 5% are above it.
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Please try to anwser this write I really don’t wanna start crying and panicing and all that
Answer:
47.28 rounded to the nearest dollar is 47.00
20% of 47.00 is aboit 9$
Consider the equation 12x - 15y = 70
Solve for x (in terms of y)
Solve for y (in terms of x)
PLEASE HELP MEEEE IM IN A TEST!
What is the answer to 2x+3>4x-8
Step-by-step explanation:
2x+3>4x-8
or, 3+8>4x-2x
or, 11>2x
or, 11/2 > x
or, x < 11/2
I've wasted 42 points already. Can someone PLZ just answer my Question and stop wasting my points. PLz, this is due. I need help
Step-by-step explanation:
You can put the value of x into the equation to solve for y. Hopes this works.
A local cable company wants to better understand customer's use of the data plans the company provides. They pick a random week and register how many GB of data customers downloaded per day. Day of the week Total amount of GB downloaded Monday 300Tuesday 120 Wednesday 140 Thursday 220 Friday 250 Saturday 280 Sunday 440 1. What type of data is the total amount of GB downloaded per day of the week? 2. What is the interquartile range of the amount of GB downloaded? 3. What is the variance of the amount of GB downloaded? 4. What is the mode of GB downloaded?
The answer of the following based on the given data is equal to,
1. Amount of GB downloaded is called quantitative continuous data.
2. Interquartile range of the data 160 GB
3. Variance of the data = 14,158.785 GB²
4. No mode of the GB downloaded.
1.Total amount of GB downloaded per day of the week is known as quantitative continuous data.
2. Interquartile range (IQR),
Arrange the data from smallest to largest order,
Monday 300 , Tuesday 120, Wednesday 140, Thursday 220, Friday 250,
Saturday 280, Sunday 440
120, 140, 220, 250, 280, 300, 440.
Median (Q2) is the middle value = 250 GB.
For Q1, take the median of lower half of the data,
120, 140, 220
Median of this lower half is 140 GB.
Q3, take the median of the upper half of the data
280, 300, 440
Median of upper half is 300 GB.
For IQR(inter quartile range ) Subtract Q1 from Q3:
IQR = Q3 - Q1
= 300 - 140
= 160GB
3. Variance of the amount of GB downloaded,
Mean = (300 + 120 + 140 + 220 + 250 + 280 + 440) / 7
= 245.7
Now the difference between each value and the mean, square these differences, and then add them,
= (300 - 245.7)²2 + (120 - 245.7)² + (140 - 245.7)² + (220 - 245.7)² + (250 - 245.7)² + (280 - 245.7)² + (440 - 245.7)²
= 84,952.71
Variance = 84,952.71 / 6
= 14,158.785 GB²
4.The mode of GB downloaded is the value that appears most frequently. Here no value appears more than once, so there is no mode.
Therefore, for the given answer of the following question is,
1. Quantitative continuous data
2. Interquartile range (IQR) = 160 GB
3. Variance = 14,158.785 GB²
4. No mode.
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The first two steps in determining the solution set of the system of equations, y = x2 – 6x + 12 and y = 2x – 4, algebraically are shown in the table.
Which represents the solution(s) of this system of equations?
(4, 4)
(–4, –12)
(4, 4) and (–4, 12)
(–4, 4) and (4, 12)
Answer:
(4,4)
Step-by-step explanation:
The solution set of the system of equations can be found by setting the two equations equal to each other and solving for x.
x^2 - 6x + 12 = 2x - 4
x^2 - 8x + 16 = 0
(x - 4)^2 = 0
x = 4
Since both equations in the system are equal to y, we can substitute x = 4 into either equation to find the corresponding value of y.
y = 2x - 4 = 2(4) - 4 = 4
Therefore, the solution of this system of equations is (4, 4).
Therefore, the correct answer is (4, 4).
Discuss 02 dissociation curve details.
The dissociation curve is a graphical representation of the relationship between the fractional saturation of hemoglobin (Y-axis) and the partial pressure of oxygen (X-axis) under specific conditions. It provides important information about the binding and release of oxygen by hemoglobin.
The dissociation curve for hemoglobin exhibits a sigmoidal (S-shaped) shape. At low partial pressures of oxygen, such as in tissues, hemoglobin has a low affinity for oxygen and only binds a small amount. As the partial pressure of oxygen increases, hemoglobin's affinity for oxygen increases, resulting in a rapid increase in the binding of oxygen molecules. However, once the hemoglobin becomes nearly saturated with oxygen, the curve levels off, indicating that further increases in partial pressure have minimal effects on oxygen binding.
To calculate the fractional saturation of hemoglobin at a given partial pressure of oxygen, you can use the Hill equation:
Y = [O2]^n / ([O2]^n + P50^n)
Where:
Y is the fractional saturation of hemoglobin,
[O2] is the partial pressure of oxygen,
P50 is the partial pressure of oxygen at which hemoglobin is 50% saturated,
n is the Hill coefficient, which represents the cooperativity of oxygen binding.
To determine the P50 value experimentally, the partial pressure of oxygen at which hemoglobin is 50% saturated, you can plot the dissociation curve and identify the point where the curve reaches 50% saturation.
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Need help desperately, work overdue :)
Answer:
a) £108
btw i use sparx maths too
Step-by-step explanation:
need help finding side length. asap pls
The missing side in the triangle has a length of 9.899.
What is the property of an isosceles triangle?In an isosceles triangle, the two sides are equal and the angles opposite to the two equal sides are also equal.
In the figure, ∠RQS = ∠RSQ =45°
Thus, it is an isosceles triangle with sides RQ=RS= 7
What is Pythagoras' theorem?
According to Pythagoras' theorem for a right-angled triangle:
Base² + Height²= Hypotensuse²
In the given figure: Base = 7 and Height = 7,
Thus, QS²= RQ² + RS²
QS² = 7² + 7²
QS = √98
=9.899
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What is the area of this figure?
Answer:
56 im pretty sure not my level but if i did it right it should be but if it is wrong im sorry
Step-by-step explanation:
(refer to figure 26, area 2.) the visibility and cloud clearance requirements to operate vfr during daylight hours over the town of cooperstown between 1,200 feet agl and 10,000 feet msl are
The visibility requirement is 3 statute miles, and cloud clearance requires maintaining 500 feet below, 1,000 feet above, and 2,000 feet horizontally from clouds during VFR daylight operations over Coopers Town.
Determine how to find the visibility and cloud clearance requirements to operate VFR?The visibility and cloud clearance requirements to operate VFR during daylight hours over the town of Coopers Town between 1,200 feet AGL and 10,000 feet MSL are as follows:
1. Visibility: The minimum visibility required is 3 statute miles.
2. Cloud clearance: Maintain a distance of at least 500 feet below, 1,000 feet above, and 2,000 feet horizontally from clouds.
According to VFR regulations, pilots flying during daylight hours must adhere to certain visibility and cloud clearance requirements for safety. The visibility requirement of 3 statute miles means that the pilot must have a clear horizontal view of at least 3 miles ahead.
This ensures sufficient visual reference to navigate and avoid other aircraft or obstacles.
Regarding cloud clearance, pilots must maintain a safe distance from clouds to ensure visibility and separation from potential hazards. The requirement is to remain at least 500 feet below clouds to avoid inadvertently entering them.
Additionally, pilots must maintain a minimum of 1,000 feet above clouds to prevent the risk of collision or reduced visibility due to cloud turbulence. Lastly, a horizontal separation of 2,000 feet from clouds helps ensure adequate maneuvering space and visual reference in relation to cloud formations.
These visibility and cloud clearance requirements help maintain safety and situational awareness for VFR operations during daylight hours over Coopers Town.
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The titration of 10.0mL of a sulfuric acid solution of unknown concentration required 18.50mL of a 0.1350 M sodium hydroxide solution
A) write the balanced equation for the neutralization reaction
B) what is the concentration of the sulfuric acid solution
Therefore, the concentration of the sulfuric acid solution is 0.124875 M.
A) The balanced equation for the neutralization reaction between sulfuric acid (H2SO4) and sodium hydroxide (NaOH) is:
H2SO4 + 2NaOH -> Na2SO4 + 2H2O
B) To determine the concentration of the sulfuric acid solution, we can use the stoichiometry of the balanced equation and the volume and concentration of the sodium hydroxide solution. From the balanced equation, we can see that 1 mole of sulfuric acid reacts with 2 moles of sodium hydroxide. Therefore, the number of moles of sodium hydroxide used can be calculated as:
moles of NaOH = volume of NaOH solution (L) x concentration of NaOH (mol/L)
= 0.01850 L x 0.1350 mol/L
= 0.0024975 mol
Since the stoichiometric ratio of sulfuric acid to sodium hydroxide is 1:2, the number of moles of sulfuric acid in the reaction is half of the moles of sodium hydroxide used:
moles of H2SO4 = 0.0024975 mol / 2
= 0.00124875 mol
Now we can calculate the concentration of the sulfuric acid solution:
concentration of H2SO4 (mol/L) = moles of H2SO4 / volume of H2SO4 solution (L)
= 0.00124875 mol / 0.0100 L
= 0.124875 mol/L
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the temperature inside 10 pizza ovens is what level of data
a) nominal- level
b) ordinal-level
c) interval-level
d)ratio-level
Cos(alpha-beta)cos(alpha beta)=cos^2 alpha-cos^2 beta
The equation cos (α - β) × cos (α + β) ≠ cos² α - cos² β. Then the given equation is incorrect.
What is trigonometry?Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.
The equation is given below.
cos (α - β) × cos (α + β) = cos² α - cos² β
Then show whether the equation is correct or incorrect.
Taking the left-hand side, then we have
\(\cos(\alpha-\beta)*\cos(\alpha +\beta) = (\cos \alpha \cos\beta + \sin \alpha \sin \beta ) (\cos \alpha \cos\beta - \sin\alpha \sin\beta )\\\\\cos(\alpha-\beta)*\cos(\alpha +\beta) = \cos ^2 \alpha \cos ^2\beta - \sin ^2 \alpha \sin ^2\beta\)
The left-hand side does not equal to the right-hand side.
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Triangle RAT has vertices R(-3,7),S(6,5), and T(2,-2).What will be the coordinates of the vertices after the reflection over the line y=-x?
The reflected triangle be R'S'T'
coordinate of R' is (-7, 3) , S' is (-5, -6) and T' is (2, -2)
What is Reflection ?Reflection is a sort of transformation that flips a shape along a line of reflection, also known as a mirror line, such that each point is at the same distance from the mirror line as its mirrored point. For instance, Triangle P has been reflected to become Triangle Q on the line x = 4 x= 4 x= 4.
A flip is a geometric movement that involves turning an item over in a straight line to create a mirror image. The distance between each point on an item and its corresponding point on the picture is equal. A reflection is another name for a flip.
The x-coordinate and y-coordinate are reversed when a point is reflected over the line y = x. The x-coordinate and the y-coordinate switch places and become negated if you reflect over the line y = -x.
So, the coordinate of RST is
R(-3, 7), S(6,5), T(2, -2)
The reflected triangle be R'S'T'
coordinate of R' is (-7, 3) , S' is (-5, -6) and T' is (2, -2)
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After reflection along the line y is x, the image of the point (5, -3) is (-3, 5).
What is a reflection of the point?It is the representation of the point that is situated in the opposite direction of the specified point.
Given
The reflecting line is y = x at the point (5,-3).
The image's center will therefore be about on the line y = x.
If x = 5, then y will have the value of 5.
The value of x will be x = -3 for y = -3.
Consequently, the image's purpose is (-3, 5).
After reflection along the line y is x, the image of the point (5, -3) is (-3, 5).
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PLZ HELP
If m<7=62 find m<1.
A process in which a number is changed, such as by adding, subtracting, dividing, or multiplying.A. operation.B. smart.C. super cool.
Arithmetic operations consists primarily of operations such as addition, subtraction, multiplication, and division. So the option A is correct.
The process of adding things together is known as addition. The '+' sign represents the addition process. It entails combining two or more numbers into a single expression.
The difference between two numbers is calculated using the subtraction operation. The '-' sign represents subtraction. It is nearly identical to addition, but it is the conjugate of the second term.
Multiplication is also referred to as repeated addition. It is indicated by " or '*'. It can also be combined with two or more values to produce a single value.
Division is the inverse of multiplication and is usually denoted by ". It is made up of two terms, dividend and divisor, and the dividend is divided by the divisor to yield a single term value.
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