Answer:
28 i think.
Step-by-step explanation:
A week has 7 days so 7×2 is 14 and thats the same for the other week. Add those together and you'll get 28.
4.82
write as a fraction or mixed number in simplest form
I'm pretty sure 4.82 as a simplified fraction is 241/50.
a flag pole that is 15 feet tall casts a shadow that is 21.1 feet long. at the same time of day, the shadow of a nearby tree is 12.7 feet long. how tall is the tree?
In linear equation, 24.9 tall is the tree .
What in mathematics is a linear equation?
An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.
Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.
We can set up a proportion comparing the height of each object to the length of the shadow.
h/15 = 21.1/12.7
h = 1.66 * 15
h = 24.9
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What is the measure of circumscribed
O 45°
O 50°
O 90°
O 95°
The measure of the inscribed angle is equal to 90 degrees
What is an inscribed angleThe inscribed angle theorem mentions that the angle inscribed inside a circle is always half the measure of the central angle or the intercepted arc that shares the endpoints of the inscribed angle's sides. In a circle, the angle formed by two chords with the common endpoints of a circle is called an inscribed angle and the common endpoint is considered as the vertex of the angle.
In this problem, the side length of the square is 5 which forms 90 degrees to all the other sides.
The measure of the circumscribed angle is 90 degree
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15. At t=0 there are 50 grams of a radioactive isotope. The isotope has a half-life of 16 minutes.
a. What is the rate of decay?
b. How many grams of the radioactive isotope are left after 20 minutes?
16. At time t=0 you have 100 grams of radioactive Chromium-48. Ten hours later you have 74 grams left.
a. What is the rate of decay?
b. What is the half-life of Chromium-48?
Answer:
Step-by-step explanation:
´.
A hotdog costs $3 and a corndog costs $1.5 . If was collected, write a mathematical sentence to represent this information.
Answer:
4.5
Step-by-step explanation:
3+1.5=4.5
An art teacher found that in a bin of markers, of the caps had been left off the markers. of these markers, of them were dried up. use the model to find what fraction of the markers had the lids left off and were dried up.
Answer:
there is no model linked
Step-by-step explanation:
A real estate agent sells a house for $92,000. She receives a 6% commission on the sale of the house. How much did she earn on the sale? Round your answer to the nearest cent. Pls help i need thins in less than 5 minuets pls
$5,520.00 there ya go
Find the quotient. 4,610 ÷ 16
show work please <3.
Answer:
2305/8
Step-by-step explanation:
i need help ASAP 6th grade work!!!!! HELP
Answer:
y=7miles
Step-by-step explanation:
The total perimeter is 21 miles and we know two sides of the triangle are 7 miles, or 14 miles together.
We need to know the one other side of the triangle, so we can subtract the 14 miles we know from the total 21 miles.
21-14=7miles
Answer:
y=7 mi
Step-by-step explanation:
If you know that each side of this triangle is 7 and they are each side is the same length, you can make an educated guess that the answer is 7. If you need An easier method 7x3=21. a triangle has 3 sides so your answer would be 7
What is the purpose of converting a random variable to a z-value?
Converting a random variable to a z-value standardizes it for easier interpretation and analysis, enabling the use of techniques assuming normality.
calculating the z-score and interpreting the standardized value. The z-score is obtained by subtracting the mean from the observed value and dividing by the standard deviation. The z-score represents the number of standard deviations an observation is away from the mean.
A positive z-value indicates being above the mean, while a negative value suggests being below it. The z-value's interpretation relies on the standard normal distribution, where a z-value of 0 corresponds to the mean.
Converting variables to z-values allows for comparison on a standardized scale, enabling assessment of relative position and significance based on the standard normal distribution.
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If the point (2, – 3) lies on the graph of the equation 2y = ax – 7, then the value of a is
Answer:
a = \(\frac{1}{2}\)
Step-by-step explanation:
since (2, - 3 ) lies on the graph then it makes the equation true.
substitute x = 2 and y = - 3 into the equation and solve for a
2(- 3) = a(2) - 7 , that is
- 6 = 2a - 7 ( add 7 to both sides )
1 = 2a ( divide both sides by 2 )
\(\frac{1}{2}\) = a
Find area help pls fast
Answer:
63 in2
Step-by-step explanation:
18 x 7 : 2
simple linear regression analysis differs from multiple regression analysis in that . multiple choice simple linear regression uses only one explanatory variable the coefficient of correlation is meaningless in simple linear regression goodness-of-fit measures cannot be calculated with simple linear regression the coefficient of determination is always higher in simple linear regression
Simple linear regression analysis differs from multiple regression analysis in (A) Only simple linear regression uses one explanatory variable.
What is Simple linear regression analysis?A regression model called simple linear regression uses a straight line to calculate the association between one independent variable and one dependent variable.
Both variables ought to have numerical values.
Multiple regression analysis and simple linear regression analysis are different One explanatory variable is used only in simple linear regression.
If we know the height of a person, we could apply the equation to forecast weight.
Y = MX + b, where X is the predictor (independent) variable, m is the estimated slope, and b is the expected intercept, which is the formula for simple linear regression.
Therefore, simple linear regression analysis differs from multiple regression analysis in (A) Only simple linear regression uses one explanatory variable.
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Correct question:
Simple linear regression analysis differs from multiple regression analysis in that:
a. multiple choice simple linear regression uses only one explanatory variable.
b. the coefficient of correlation is meaningless in simple linear regression
c. goodness-of-fit measures cannot be calculated with simple linear regression
d. the coefficient of determination is always higher in simple linear regression
There are 15 plates in a kitchen cabinet. The diameter of each plate is either 7in or 12in. The diameter of all 15 plates combined is 140in. Which system of equations can be used to find the number of 7in plates, x , and the number of 12in plates, y , that are in the cabinet?
Answer:
Number of 7 inch plate = 8
Number of 12 inch plate = 7
Step-by-step explanation:
There are 15 plates in a kitchen cabinet. The diameter of each plate is either 7in or 12in. The diameter of all 15 plates combined is 140in. Which system of equations can be used to find the number of 7in plates, x , and the number of 12in plates, y , that are in the cabinet?
Given that :
Total Number of plates = 15
Diameter of each plate : 7 in or 12 in
Diameter of all 15 plates = 140 in
Let number of 7 in and 12 in diameter plates = x and y respectively ;
x + y = 15 - - (1)
7x + 12y = 140 - - - (2)
x = 15 - y
Substitute x = 15 - y in (2)
7(15 - y) + 12y = 140
105 - 7y + 12y = 140
105 + 5y = 140
5y = 140 - 105
5y = 35
y = 7
From x = 15 - y
x = 15 - 7
x = 8
Number of 7 inch plate = 8
Number of 12 inch plate = 7
Is 48 a factor of 8?
No, number 48 is not the factor of 8 , 48 is a multiple of 8.
As given in the question,
Given number is equal to ,
48.
Factors are those numbers which divide the given number completely without leaving any remainder.
The factors of the number 48 are equal to:
1, 2, 3, 4, 6, 8, 12, 16, 24 and 48.
Multiple of 8 are equal to :
8, 16, 24, 32, 40, 48, .....
48 is not considered as a factor of 8 it the multiple of the number 8.
8 is the factor of the given number 48.
Therefore, number 48 is not the factor of 8 , it is considered as the multiple of 8.
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DETAILS ASWMSCI15 11.E.003. ASK YOUR TEACHER Willow Brook National Bank operates a drive-up teller window that allows customers to complete bank transactions without getting out of their cars. On weekday momings, arrivals to the drive-up teller window occur at random, with an arrival rate of 30 customers per hour or 0.5 customers per minute. Let's assume that the service times for the drive-up teller follow an exponential probability distribution with a service rate of 45 customers per hour, or 0.75 customers per minute. Determine the following operating characteristics for the system. (Round your answers to four decimal places.) (a) The probability that no customers are in the system (b) The average number of customers waiting (c) The average number of customers in the system (d) The average time (in min) a customer spends waiting min (e) The average time (in min) a customer spends in the system min (f) The probability that arriving customers will have to wait for service MY NOTES Need Help? Read It PRACTICE ANOTHER
Based on the given information, the operating characteristics of Willow Brook National Bank's drive-up teller window can be determined and the probability of customers having to wait for service can be calculated.
The arrival rate for the drive-up teller window is 0.5 customers per minute, while the service rate is 0.75 customers per minute. Since both arrival and service times follow exponential distributions, we can use the formulas for an M/M/1 queue to calculate the operating characteristics.
(a) The probability of having no customers in the system can be found using the formula P0 = 1 - (λ/μ), where λ is the arrival rate and μ is the service rate. Plugging in the values, P0 = 1 - (0.5/0.75) = 0.3333.
(b) The average number of customers waiting can be calculated using the formula Lq = (\(\lambda ^2\)) / (μ(μ - λ)). Plugging in the values,
Lq = (\(0.5^2\)) / (0.75(0.75 - 0.5)) = 0.6667.
(c) The average number of customers in the system is given by L = λ / (μ - λ). Plugging in the values, L = 0.5 / (0.75 - 0.5) = 1.
(d) The average waiting time for a customer can be calculated using the formula Wq = Lq / λ. Plugging in the values, Wq = 0.6667 / 0.5 = 1.3333 minutes.
(e) The average time a customer spends in the system is given by W = Wq + (1 / μ). Plugging in the values, W = 1.3333 + (1 / 0.75) = 2.6667 minutes.
(f) The probability that arriving customers will have to wait for service can be calculated using the formula Pw = λ / μ. Plugging in the values, Pw = 0.5 / 0.75 = 0.6667.
These calculations provide the operating characteristics of the drive-up teller window at Willow Brook National Bank.
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A drilling process has an upper specification of 1.092 inches and a lower specification of 1.007 inches. A sample of parts had a mean of 1.06 inches with a standard deviation of 0.029 inches. Round your answer to five decimal places. What standard deviation will be needed to achiete a process capability index of 2.0?
The average daily gain of 20 beef cattle was measured, with typical values ranging from 1.39 to 1.57 kg/day. The mean of the data was calculated to be 1.461 kg/day, with a standard deviation of 0.178 kg/day.
To express the mean and standard deviation in lb/day, we need to convert the values from kg/day to lb/day. One kilogram is approximately equal to 2.205 pounds, so we can multiply the mean and standard deviation by this conversion factor to obtain the values in lb/day.
For the mean: 1.461 kg/day * 2.205 lb/kg = 3.224 lb/day
For the standard deviation: 0.178 kg/day * 2.205 lb/kg = 0.393 lb/day
Therefore, the mean daily gain is approximately 3.224 lb/day, and the standard deviation is approximately 0.393 lb/day when expressed in lb/day.
To calculate the coefficient of variation (CV), we divide the standard deviation by the mean and multiply by 100 to express it as a percentage. Using the values in kg/day:
CV = (0.178 kg/day / 1.461 kg/day) * 100 = 12.18%
And using the values in lb/day:
CV = (0.393 lb/day / 3.224 lb/day) * 100 = 12.17%
Therefore, the coefficient of variation is approximately 12.18% when the data is expressed in both kg/day and lb/day.
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Determine the slope between the two points: (-9,5) and (3,2)
Answer:
Let (x1, y1) = (-9, 5) and (x2, y2) = (3, 2) be the two points.
The formula for finding the slope between two points is:
m = (y2 - y1) / (x2 - x1)
Substituting the values, we get:
m = (2 - 5) / (3 - (-9))
m = -3 / 12
m = -1/4
Therefore, the slope between the points (-9, 5) and (3, 2) is -1/4.
Answer:
M = -1/4
Step-by-step explanation:
(y2-y1)/(x2-x1) = Slope
we use the x and y components of the given coordinates to find out the answer.
Therefore,
(2-5)/(3-(-9)) = -1/4
what is (−1)(−16)(13) =
Answer:
208
Step-by-step explanation:
(-1)(-16)=16
16×13=208
steve is standing on a porch of a shore house in malibu. the elevatioin of the porch is about 138 feet steve's eye level is 5 feet above the porch floor. if steve can see a band of surfers on the water at an angle of depression approximately 29 degrees how far are the surfers from his eyes?
geometry trig unit.
The distance is 295 feet from the surfers from his eyes.
What is geometry?Geometry is the description of figures in a space with a specific number of dimensions and types. Plane geometry is the most prevalent sort of geometry (dealing with objects like the point, lines, circles, triangles, and polygons),
According to the given question, we have attached a figure which represents the given situation.
Let the distance would be x from the surfers from his eyes
As per the figure, using the sine ratio to find x:
sin 29° = perpendicular/hypotenuse
Substitute the known values and solve for x:
sin 29° = 143/x
0.4848 = 143/x
x = 294.96
x ≈ 295 feet
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Sasha gives clues to her favorite number. She says her favorite number is 13 units from 20 and 15 units from -8 on the number line. What is Sasha's favorite number? Show your work and explain your rea
Sasha's favorite number is 7.
To find Sasha's favorite number, we can use the clues given: her favorite number is 13 units from 20 and 15 units from -8 on the number line.
Let's denote Sasha's favorite number as "x." According to the clues, we have the following equations:
x - 20 = 13 (Equation 1)
x - (-8) = 15 (Equation 2)
Simplifying Equation 1:
x = 13 + 20
x = 33
Simplifying Equation 2:
x + 8 = 15
x = 15 - 8
x = 7
We have obtained two different values for x: x = 33 and x = 7. However, only one of these values can be Sasha's favorite number.
By analyzing the clues, we can determine that Sasha's favorite number is the one that is 13 units from 20 and 15 units from -8. Among the two values we found, only x = 7 satisfies both conditions.
Therefore, Sasha's favorite number is 7.
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what is the theoretical probability of rolling a 1 or a 2 on the 6-sided die? answer as a fraction
Answer:
1/3
Step-by-step explanation:
as 1/6 for a one and 1/6 for a 2 and 1/6 + 1/6 is 2/6 or 1/3
I’m failing and areas aren’t my best subject, please help!
Find a non-zero vector x perpendicular to the vectors
[-1] [-1]
v = [-3] and u = [-4]
[ 2] [-2]
[ __ ]
x = [ __ ]
[ __ ]
The vector x = [10, -8, 1] is perpendicular to vectors v and u.
What is the determinant?
The determinant is a mathematical operation defined for square matrices. It is denoted by the symbol det(A) or |A|, where A represents a square matrix.
To find a vector x that is perpendicular to the given vectors v and u, we can use the cross product.
Let's calculate the cross product of vectors v and u:
v x u = [-3, -4, 2] x [-1, -1, -2]
To compute the cross product, we take the determinant of the following matrix:
| i j k |
| -3 -4 2 |
| -1 -1 -2 |
Expanding the determinant, we have:
v x u = i((-4)(-2) - 2(-1)) - j((-3)(-2) - 2(-1)) + k((-3)(-1) - (-4)(-1))
= i(8 + 2) - j(6 + 2) + k(-3 + 4)
= i(10) - j(8) + k(1)
= [10, -8, 1]
Hence, the vector x = [10, -8, 1] is perpendicular to vectors v and u.
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Step by step for -6t = 30
Answer:
t = - 5
Step-by-step explanation:
Given
- 6t = 30 ( divide both sides by - 6 )
t = - 5
Answer:
t = -5
Step-by-step explanation:
-6t = 30divide both sides by -6after dividing both sides by -6, t = -52. When shipping ice cream, melting is understandably a big concern. You will notice that ice cream is not generally packaged in a cube-shaped container. A standard container of ice cream contains 1 L, or 1000 cm3 of ice cream, a) What would be the optimal dimensions (radius and height) to minimize surface area? B) What would the surface area be? C) Suggest at least two reasons why this is different from the ice cream packaging that you see in the stores.
Answer:
a) 10:10:10
b)\(A_s=600m^2\)
Step-by-step explanation:
From the question we are told that:
Volume \(V=1000cm^3\)
a) .
Generally for optimal dimensions
\(A=L*B*H\)
Where
\(L=B=H\)
Therefore
\(L=^3\sqrt{1000}\\L=10\)
Therefore the optimal dimensions will be
10:10:10
b)
Generally the equation for surface area of a cube is mathematically given by
\(A_s=6l^2\)
\(A_s=6*10^2\)
\(A_s=600m^2\)
There are 3 consecutive integers that have a sum of 36. What are the integers?
Answer:
11, 12, 13Step-by-step explanation:
The consecutive integers are increasing by 1
k ← the smallest integer
k+1 ← the middle integer
k+1+1 = k+2 ← the largest integer
k + k+1 + k+2 = 36
3k + 3 = 36
÷3 ÷3
k + 1 = 12
-1 -1
k = 11
k+1 = 11 + 1 = 12
k+2 = 11 + 2 = 13
find the range of the following mathematics examination scores 80 65 84 73 90 96
The range is 31
Step-by-step explanation:
The range is the difference between the smallest and highest numbers in a list or set. To find the range, first put all the numbers in order. Then subtract (take away) the lowest number from the highest. The answer gives you the range of the list.
Wendell is looking over some data regarding the strength, measured in Pascals (Pa), of some building materials and how the strength relates to the length. The data are represented by the exponential function f(x) = 2x, where x is the length. Explain how he can convert this equation to a logarithmic function when strength is 8 Pascals.
x = ㏑₂8 in the logarithmic function.
What is a logarithmic function?A logarithmic function is the inverse of an exponential function.
Given function if f(x) = \(2^{x}\),
When strength is equal to 8 pascals, f(x) = 8
Therefore, 8 = \(2^{x}\)
Taking log on both sides:
ln8 = ln\(2^{x}\)
ln8 = xln2
or x = ln8/ln2
x = ㏑₂8
Hence, the required function is x = ㏑₂8.
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Lola made $104.54 working 11 hours this week. Next week she is working 15 hours. How much will she make?
Answer:
$142.50
Step-by-step explanation:
If you divide how much she made by 11 you find out she makes $9.50 and hour and then you mutiply $9.50 by the 15 hours she works.