Explanation
Given that the perimeter of a rectangular painting is 304 centimeters and the width of the painting is 54 centimeters. We can find the length using the formula below.
\(\begin{gathered} p=2(l+w) \\ \end{gathered}\)Therefore;
\(\begin{gathered} 304=2\left(l+54\right) \\ \mathrm{Divide\:both\:sides\:by\:}2 \\ \frac{2\left(l+54\right)}{2}=\frac{304}{2} \\ l+54=152 \\ \mathrm{Subtract\:}54\mathrm{\:from\:both\:sides} \\ l+54-54=152-54 \\ \mathrm{Simplify} \\ l=98 \end{gathered}\)Answer: 98 centimeters
A horse race has 12 entries one person owns 4 of those horses Assuming that there are no ties, what is the probability that those four horses finish first second third and
fourth
Answer:
33.3% chance as the person who owns the 4 horses accounts for 1/3 of the total 12 horses.
Step-by-step explanation:
Please let me know if I did not answer your question completely. Smile ; )
p-chart is to be constructed to monitor the fraction non-conforming for a process. 20 samples of 100 items were collected when the process was known to be in control. There were 100 total nonconforming items identified. a. (10 pts) Construct a p-chart from this data (use L-3)
p chart from this data are attached below.
Describe about p chart?
A p-chart is an attributes control chart that is used with data collected in varying size subgroups. Because the size of the subgroup varies, it displays a proportion of nonconforming items rather than the actual count. P-charts depict how the process evolves over time.P bar = total detective / total sampled
P bar = \(\frac{20}{100}\)
= \(\frac{1}{5}\)
UCL = P bar + L . \(\sqrt{\frac{p bar q bar}{n} }\)
= \(\frac{1}{5}\) + 3 * \(\sqrt{\frac{1}{5} *\frac{4}{5} * \frac{1}{100} }\)
= (\(\frac{1}{5} + \frac{3 * 2}{50}\))
= (0.20 + 0.12)
UCL = 0.32
CL = P bar = 0.20
LCL = P bar - L . \(\sqrt{\frac{p bar q bar}{n} }\)
= (\(\frac{1}{5} - \frac{3 * 2}{50}\))
= (0.20 - 0.12)
LCL = 0.08
Therefore, UCL = 0.32, CL = 0.20, LCL = 0.08
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What is the domain of the square root function graphed below?
On a coordinate plane, a curve open up to the right in quadrant 4. It starts at (0, negative 1) and goes through (1, negative 2) and (4, negative 3).
x less-than-or-equal-to negative 1
x greater-than-or-equal-to negative 1
x less-than-or-equal-to 0
x greater-than-or-equal-to 0
Mark this and return
The domain of the square root function is x greater-than-or-equal-to 0, since the function is defined for all non-negative x-values or x-values greater than or equal to zero.
The domain of the square root function graphed below can be determined by looking at the x-values of the points on the graph.
From the given information, we can see that the curve starts at (0, -1) and goes through (1, -2) and (4, -3).
The x-values of these points are 0, 1, and 4.
Since the square root function is defined for any non-negative x-values or x-values more than or equal to zero, its domain is x greater-than-or-equal-to 0.
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which of the following is a example of a proportional relationship
*photo is down there
show proof for brainliest
Answer:
The third one
Step-by-step explanation:
You multiply x by 6 to get y. 1x6=6, 2x6=12, 3x6=18.
what is the length of the hypotenuse in a right triangle?
Answer:
the square of the length of the hypotenuse equals the sum of the squares of the lengths of the other two sides.
Pls I will give brainliest answer if correct
Answer:
66-18b or maybe 11/3
Step-by-step explanation:
-6+9(8-2b)
-6+72-18b
72-6=66
66-18b
Evaluate p+(n-1) x3 for n=7 and p=9
The width of a rectangle is 61 centimeters more than the length. The perimeter is 406 centimeters. Find the length and the width.
So with the given information, I make the length equal x and the width equals x+61. Remember a rectangle has two pairs of equal sides.
So then the equation is 4x+122=406
Do systems and you will find that x equals 71.
The length is 71cm
The width is 71+61=132cm
Question 2
No calculations are necessary to answer this question.
3/01
3/02
$1.7420 $1.7360
Date
July GBP Futures
Contract Price
O long; long
Based on the closing prices of July GBP Futures Contract over the 3-day period in March 20XX as shown above, you shou
position on 3/01 and a position on 3/02.
O long; short
O short; short
3/03
short; long
$1.7390
The given information does not provide any clear indication for determining the position that should be taken on 3/01 and 3/02. Without additional information, it is not possible to make a decision. The table only displays the closing prices of the July GBP Futures Contract on different days, and it is unclear what trading strategy or what scenario is being considered. Additional information about the goals and objectives, the market conditions, and other relevant factors would be necessary to make a decision about trading positions.
Round to the nearest thousandths
1.13.4625
2.73.8063
3.128.0081
4.92.7352
5.85.0267
Answer:
Step-by-step explanation:
Look to the right of the 3rd number, if the 4th number is more than 4, round the 3rd number up
precalculus show all your work
The equation for a transformed cosine wave with the following properties is y = 3cos2x + 4
Equation of transformed cosine wave:An equation for a transformed cosine wave with the following properties can be written in the form:
y = A× cos(B(x - C)) + D
Where:
A = amplitude (positive value)
C = phase shift (horizontal shift of the wave)
D = vertical shift (shift of the wave up or down)
Here we have
Amplitude = 3
Period = π
Horizontal shift = None
Vertical shift = 4 units up
As we know Period P = 2π/B
From the data => 2π/B = π
=> B = 2
Hence,
Equation for a transformed cosine wave, y = 3 × cos(2(x - 0)) + 4
=> y = 3 × cos(2(x )) + 4
=> y = 3cos2x + 4
Therefore,
The equation for a transformed cosine wave with the following properties is y = 3cos2x + 4
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The
Slope
a line that goes
through the points (r, 6 ) and (4,2
is 4 find r
Provide the missing statement and reasons for the following proof:
Answer:
I need more points
the picture is very blurry
In a parking areana 7 out of 21 vehicles are red if there are 342 vehicle in the parking then how many vehicles will be of red
Answer:
12.2142857143
Step-by-step explanation:
PLESSSSSSSSSSSSSS| HELP ME ):
Which of the following can be used to construct a triangle?
A) 10cm 13cm 24cm
B) 14cm 32m 28cm
C) 25cm 13cm 22cm
D) 5cm 8cm 20cm
Answer:
the answer is simple, because you have to add up each side of the triangle and match those sides with your choices. btw its C
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Use Pythagorean Theorem:
a^2 + b^2 = c^2
For a triangle to be a triangle a^2 +b^2 has to be larger than c^2
25^2 + 13^2 = 653
22^2 = 625
At a given point 67.7ft at ground level of a covered court, the angle of elevation of a roof worker from the bottom is 38.6⁰ and the angle of elevation of the roof from the top is 42.4 degrees find the height of the roof worker and the distance of the ø if someone is observing below.
The height is 114.83 ft and the distance of the ø if someone is observing below is 84.8.
What is trigonometry?The branch of mathematics that sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.
The trigonometric functions, also known as a circular, angle, or goniometric functions in mathematics, are real functions that link the angle of a right-angled triangle to the ratios of its two side lengths.
Given that at a given point of 67.7ft at the ground level of a covered court, the angle of elevation of a roof worker from the bottom is 38.6⁰ and the angle of elevation of the roof from the top is 42.4 degrees.
The base will be calculated as:-
tan(38.6) = P / B
tan(38.6) = 67.7 / B
B = 67.7 / tan(38.6)
B = 54.8 ft
The height will be calculated as:-
Cos(42.4) = B / H
H = 84.8 / Cos(42.4)
H = 114.83 ft
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Sam, Luke and Laura are shopping for sporting equipment
Sam buys 4 tennis balls and 12 golf balls for a total of £19
Luke buys 6 tennis ball and 10 golf balls for a total of £22.50
Laura buys 2 tennis balls and 4 gold balls
By forming two equations and solving them, find how much Laura pays for the 2 tennis balls and 4 golf balls.
Base on the equation, the amount Laura pay for 2 tennis balls and 4 golf balls $8
How to form and solve equations?
Sam buys 4 tennis balls and 12 golf balls for a total of £19.
let
x = price of each tennis ball
y = price of each golf ball
Hence,
4x + 12y = 19
Luke buys 6 tennis ball and 10 golf balls for a total of £22.50. Hence,
6x + 10y = 22.50
Combine the equation
4x + 12y = 19
6x + 10y = 22.50
6x + 18y = 28.5
6x + 10y = 22.50
8y = 6
y = 6 / 8
y = $0.75
6x + 10(0.75) = 22.50
6x + 7.5 = 22.50
6x = 22.50 - 7.5
6x = 15
x = 15 / 6
x = $2.5
The cost when Laura pays for 2 tennis balls and 4 golf balls is as follows:
2(2.5) + 4(0.75) = 5 + 3 = $8
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consider the following probability distribution: 1 2 3 4 5 0.1 0.15 0.40 0.25 0.10 find (write it up to second decimal place).
The mean value is 1.19
x p(x) x*p(x) X^2p(x)
1 0.1 0.1 0.1
2 0.15 0.3 0.6
3 0.4 1.2 3.6
4 0.25 1 4
5 0.1 0.5 2.5
Sum 1 3.1 10.8
Mean =Σx * p(x)
u=3.1
Variance=σ^2
=Σx*p(x)-u^2
=10.8-(3.1)^2 =1 .19
A probability distribution is a frequency distribution that has been idealised. A frequency distribution is a description of a particular sample or dataset. It is the number of times each possible variable value appears in the dataset.
The probability of occurrence determines how many times a value appears in a sample. Probability is a number between 0 and 1 that indicates the likelihood of an event occurring:
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Find the volume of the cube.
Answer:
512cm³
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Sorting algorithms no unread replies.no replies. we are using and interacting with sorting algorithms in every day life. in your chapter reading this week, you reviewed many sorting algorithms. find an example of a place in real, everyday life where you interact with, implement or use one of the sorting algorithms covered in chapter 3. for example, while playing cards you may have found yourself implementing the insertion sort algorithm (without knowing it). for this peer interaction, post your example of a place in real, everyday life where you interact with, implement or use one of the sorting algorithms. be sure to provide your us with enough information so that we will thoroughly understand your example and use of a sorting algorithm. once you have made your post, please respond to at least two of your classmates interacting and communicating on the sorting algorithm use in real world context.
A sorting algorithm is defined as an algorithm that sorts the elements of a list. The most commonly used sequences are numerical sequence and lexicographical sequence, ascending or descending.
A sorting algorithm is used to reorder an array or list of elements according to an element comparison operator. Comparison operators are used to define a new order of elements in that data structure. Consider example, The above list of characters is sorted in ascending order by their value. That is, characters with lower values are placed before characters with higher values. It is important in real life because it supports the development of the scientific concept that things can be owned and organized into distinct groups (e.g. creatures, cars, weather types, etc.). We will now discuss some real-world examples of using sorting algorithms.
1) Your phone's contact list is sorted. This means that your data is organized in this way so you can easily access the contacts you want from your phone. That is, "I ordered."
2) Paper sorting : Imagine a teacher sorting students' work alphabetically by student name. This type of operation is similar to the functionality of sorting algorithms such as bucket sort. Sorting is more efficient process.
3) Traffic lights : Traffic lights are a good example of how algorithms are used in the real world around us. Next time you get stuck in a car at a red light, think about the algorithm that traffic lights run." Most traffic lights don't automatically switch between green, yellow, and red. This algorithm is a well-established turn-by-turn algorithm that directs traffic correctly. It's in order (it may not seem that way when you're sitting at a red light).
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CAN SONEONE PLEASE HELP ME WITH MY MATH PLEASEEEE!!!!!
Answer:
√190
Step-by-step explanation:
In the figure , there are 2 right angled triangles with a common perpendicular & both the triangles combine to form a new right angled triangle.
Let the triangle with 9 as base be T¹ & Let the triangle with base 10 be T². Let the triangle formed by T¹ & T² be T³.
In T² ,
Hypotenuse = y
Base = 10
According to Pythagorean Theorem ,
(Hypotenuse)² = (Base)² + (Perpendicular)²
Hence, (Perpendicular)² = \(y^2 - 10^2 = y^2 - 100\)
In T¹ ,
Perpendicular = \(\sqrt{y^2 - 100}\) (∵ Both T¹ & T² have common perpendicular)
⇒(Perpendicular)² = \(y^2 - 100\)
Base = 9
⇒ (Base)² = 9²
Hypotenuse =
Using Pythagorean Theorem ,
(Hypotenuse)² = (Perpendicular)² + (Base)²
⇒ (Hypotenuse)² = \(y^2 - 100 + 9^2\) .............................................eqn.2
Now in T³ ,
Base = y
⇒ (Base)² = y²
Perpendicular = \(\sqrt{(y^2 - 100) + 9^2}\) (∵Perpendicular of T³ = Hypotenuse of T²)
⇒ (Perpendicular)² = \((\sqrt{(y^2 - 100) + 9^2})^2= (y^2 - 100) + 81 = y^2 - 19\)
Hypotenuse = 9 + 10 = 19
Using Pythagorean Theorem ,
(Hypotenuse)² = (Perpendicular)² + (Base)²
\(=> 19^2 = y^2 - 19 + y^2\\\\=> 2y^2 = 19^2 + 19 = 19(19 + 1) = 19*20\\\\=> y^2 = \frac{19*20}{2} = 19*10 = 190\\ \\=> y =\sqrt{190}\)
select all the expressions that are equivalent to 64^2/3
Answer:
1365 + 1/3 or
1365.3333
Step-by-step explanation:
64^2/3=
4096/3=
1365 + 1/3
When h=4 , j=5 , and k=−1 , the expression jkh+hj−jk equals?
When h = 4, j = 5, and k = -1, the expression jkh + hj - jk equals 5.
To solve the expression we have to substitute the value of each variable in the expression. Then simplify the expression according to mathematic rule. After solving we get the solution of the expression.
An expression is a combination of numbers, variables, and/or operations that can be evaluated or simplified to obtain a numerical or algebraic result.
The given expression is:
jkh + hj - jk
Substituting the given values of h, j, and k, we get:
jkh + hj - jk = (5 x (-1) x 4) + (5 x 4) - (5 x (-1))
Now simplify the expression
jkh + hj - jk = (-20) + 20 + 5
jkh + hj - jk = 5
Therefore, the value of jkh + hj - jk equals 5.
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can anybody help me with this?
Answer:
Option (a)
Step-by-step explanation:
\(\sqrt[6]{1000m^{3} n^{12} } = \sqrt[6]{10^{3} } \sqrt[6]{m^{3} } \sqrt[6]{n^{12} } =\\\sqrt{10} \sqrt{m} n^{2} = n^{2} \sqrt{10m}\)
On a map, 1 inch equals 13.1 miles. If two cities are 2.5 inches apart on the map, how far are they actually apart?
EXPLANATION:
The ratio given is 1 inch equals 13.1 miles. That means 2 inches would be 13.1 miles times 2, and so on.
Therefore, if two cities are 2.5 inches apart on the map, then;
\(\begin{gathered} 1\text{inch}=13.1\text{mile} \\ 2.5in=13.1(2.5)\text{miles} \\ 2.5in=32.75miles \end{gathered}\)Hence, the two cities are actually 32.75 miles apart
How is 1.2 x 10 written is standard decimal notation?
Answer:
12
Step-by-step explanation:
1.2*10 = 1.2
Answer:
12
Step-by-step explanation:
the "normal form" to write numbers : just the digits and a decimal point when needed.
so, 1.2 × 10 = 12
12 is the normal, standard decimal notation.
in some cases it can be also 12.0 or 12.00 (especially with money).
the other form is the scientific notation, where a number is written with its leading digits and the power of 10 as the total value "weight". like in this example 1.2 × 10¹
100 POINTS! MUST EXPLAIN ANSWER!
which diagram has COMPLEMENTARY and ADJACENT angles?
Answer:
\( \huge \boxed{ \boxed{ \mathbb C}}\)
Step-by-step explanation:
to understand thisyou need to know about:complementary Angeleadjacent anglestips and formulas:Two angles are Complementary when they add up to 90 degreesTwo angles are Adjacent when they have a common side and a common vertex and don't overlap.\(\text{according to the given shapes the answer is C}\)
Answer:
Option C
Step-by-step explanation:
Because the whole angle mentioned is 90°
Sum of the two angles is 90°They are complementary
Also they has one common bisector so they are adjacent
Use StatKey or other technology to find the regression line to predict Y from X using the following data.
X 10 20 30 40 50 60
Y 111 109 110 94 92 93
Click here to access StatKey.
Round your answer for the intercept to one decimal place and the answer for the slope to two decimal places.
The regression equation is Enter your answer; The regression equation, intercept
+ Enter your answer; The regression equation, slope
X.
The regression equation is Y = 95.0 + 0.84X.The regression line is a mathematical model that is used to predict the value of a dependent variable (Y) based on the value of an independent variable (X).
In this case, the regression line is used to predict Y from X using the following data: X = 10, 20, 30, 40, 50, 60 and Y = 111, 109, 110, 94, 92, 93. By using a regression analysis tool such as StatKey, we can calculate the regression equation that best fits this data. The regression equation is Y = 95.0 + 0.84X, where 95.0 is the intercept and 0.84 is the slope. This equation can be used to make predictions about the value of Y for a given value of X. The rounded answer for the intercept is 95.0 and the rounded answer for the slope is 0.84.
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Pls help answer fast rapidly is of khan academy:
Answer:
expanded: 7+0.08
standard: 7.08
Step-by-step explanation:
The hundredths place is the second digit after the decimal, so 8 hundredths is 0.08.
Ryan is a runner. He can run 100 meters in 13 seconds. He
frequently races against Juan, who can run at a speed of 15
miles per hour. Which runner is faster? (1 mile = 1609.34
meters)
Answer:
Ryan: (100/13)(1/1,609.34)(3,600) =
17.21 miles per hour
Ryan is faster than Juan, by about 2.21 miles per hour