A 13 km 13km13, start text, k, m, end text stretch of road needs repairs. Workers can repair 3 1 2 km 3 2 1 km3, start fraction, 1, divided by, 2, end fraction, start text, k, m, end text of road per week. How many weeks will it take to repair this stretch of road?
you can start by dividing the total length of the road by the distance that can be repaired per week:
13 km ÷ 3 1/2 km/week = 3.71 weeks
Rounding up, it will take 4 weeks to repair the entire 13 km stretch of road.
You are a sports agent’s assistant. You are preparing a report on contracts you have obtained for the agent’s clients. You recently negotiated the following annual contracts: $2.8 million, $18.9 million, $1.5 million, $1.2 million, $1.5 million, and $3.5 million per year. The standard deviation of the data is 6.3, and the range is 17.7.
Which measure of center is most appropriate, and what is the value of the measure of center?
A median; $1.35 million
B mode; $1.5 million
C median; $2.15 million
D mean; $4.9 million
E mean; $5.58 million
The data set is as follows, going from smallest to largest:
$1,2,000,000, $1.5,000,000, $1.5,000,000, $2.8,000,000, $3.5,000,000, and $18,9,000,000
The middle two figures are $2.8 million and $3.5 million because the data set has six items. These two values' average is:
($2.8 million plus $3.5 million) / 2= $1.35 million.
As a result, the median serves as the most accurate measure of the centre, and its value is $1.35 million. The median price is (A), or $1.35 million.
Describe Standard Deviation.Standard deviation is a statistical measure that indicates how much the values in a dataset deviate from the mean or average value of the dataset. It measures the spread or variability of the data around the mean.
The standard deviation is calculated by taking the square root of the variance of the dataset. The variance is the average of the squared differences between each data point and the mean. In other words, it measures how much the data points vary from the mean squared.
The formula for calculating the standard deviation is:
Standard deviation = sqrt( Sum \((x - mean)^2\) / (n - 1) )
where x is each data point in the dataset, mean is the average value of the dataset, and n is the number of data points in the dataset.
A higher standard deviation indicates that the values in the dataset are more spread out or have more variability, while a lower standard deviation indicates that the values are more tightly clustered around the mean.
Standard deviation is widely used in statistics and data analysis to measure the variability of data and to compare the spread of different datasets. It is used to assess the degree of risk and uncertainty associated with a given set of data, and it plays a crucial role in various fields, such as finance, engineering, and social sciences.
Given that we have a range and a standard deviation for the annual contracts obtained for the sports agent's clients, we can use these measures to determine the most appropriate measure of center.
The range is the difference between the largest and smallest values in the data set, which in this case is 17.7. The standard deviation is a measure of the spread of the data around the mean, which in this case is 6.3.
If the range is relatively small compared to the standard deviation, then the mean is the most appropriate measure of the center, since it takes into account the value of every data point. However, if the range is relatively large compared to the standard deviation, then the median is a more appropriate measure of center since it is less affected by extreme values in the data set.
In this case, the range of 17.7 is relatively large compared to the standard deviation of 6.3, which suggests that the median is the most appropriate measure of the center. We can find the median by arranging the data set in order from smallest to largest and finding the middle value. If there are an even number of values, we take the average of the two middle values.
The answer (B) mode; $1.5 million is incorrect because there are two modes ($1.5 million appears twice). The answers (D) mean; of $4.9 million and (E) mean; of $5.58 million are incorrect because the range is relatively large compared to the standard deviation, which indicates that the mean may be influenced by the extreme values in the data set.
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ABC~A'B'C'. Their scale factor is 7:9. If the perimeter of smaller ABC is 42, then the
perimeter of A'B'C' is.
Pls hurry!!
Answer:
54
Step-by-step explanation:
ratio is 7:9
7=42
9=?
9×42÷7
olivia is walking to raise money for the childrens hospital. people can choose to sponser her at two diffrent levels. the first plan pays 10 dollars up front and 50 cents per mile. the second plan pays 4 dollars then 2 dollars per mile. for how many miles will the two plans donate the same amount?
Using linear functions, it is found that the two plans will donate the same amount for 4 miles.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.In this problem, the functions for the amount donated with n miles are given by:
f1(n) = 10 + 0.5n.f2(n) = 4 + 2n.They will donate the same amount for n miles as such:
f1(n) = f2(n).
10 + 0.5n = 4 + 2n.
1.5n = 6
n = 6/1.5
n = 4.
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please help!! need it fast, will give brainliest!! and pls show work !!
Find the measure of angle AEB
Answer:
An acute angle
Step-by-step explanation:
An acute angle is smaller than an obtuse ad right angle.
hope this helps and hope it was right 'cause I really don't know what you meant. :)
Need help please and thanks :)
Answer:
4 digits keep repeating
7569
\( \boxed{ \boxed{explanation}}\)
By observing the given number with it's decimal expansion, we can say that there are four numbers which are repeating after the decimal.
i.e 7569.
So, 4 is the correct answer
Rose walks 2 2/3 km in three-fifths of an hour. If her speed remains unchanged, how many kilometres can she walk in one and three quarters of an hour? Express your answer as a mixed number in lowest terms
Answer:
Distance = 7 7/9 Km
Step-by-step explanation:
Given the following data;
Distance = 2⅔ = 8/3 Km
Time = ⅗ hour
First of all, we would find her speed;
Speed = distance/time
Speed = (8/3)/(3/5)
Speed = 8/3 * 5/3
Speed = 40/9 km/h
Next, we would find the distance covered when time = 1¾ hours
Distance = speed * time
Distance = 40/9 * 1¾
Distance = 40/9 * 7/4
Distance = 10/9 * 7
Distance = 70/9
Distance = 7 7/9 Km
he program recommends a constant intensity for 3 visits, increasing intensity over 3 visits, and then decreasing intensity for 3 visits before restarting the pattern. Which sets of values could be the intensities of Amber’s exercise during the fourth, fifth, and sixth visits? Select three options.
63%, 63%, 63%
66%, 69%, 72%
66%, 62%, 58%
63%, 65%, 67%
67%, 72%, 77%
Sets of values that could be the intensities of Amber’s exercise during the fourth, fifth, and sixth visits are -
66%, 69%, 72%
63%, 65%, 67%
What is intensity?
In physics, the power transferred per unit area is known as the intensity or flux of radiant energy, where the area is measured on a plane perpendicular to the direction of the energy's propagation.
The program recommends a pattern of constant intensity for 3 visits, increasing intensity over 3 visits, and then decreasing intensity for 3 visits before restarting the pattern.
Let's call the starting intensity level "x".
Then the intensity levels for the first 3 visits are all equal to x, the intensity levels for the next 3 visits are increasing, and the intensity levels for the following 3 visits are decreasing.
To determine which sets of values could be the intensities of Amber's exercise during the fourth, fifth, and sixth visits, we need to follow the pattern.
If the intensity level for the first 3 visits is x, then the intensity levels for the next 3 visits are x plus some value y, and the intensity levels for the following 3 visits are x plus some value z, where y and z are positive.
If we assume that the initial intensity level x is some value between 60% and 70%, then we can eliminate the last option of 67%, 72%, and 77% because the initial intensity level is too high.
Now let's check the remaining options -
63%, 63%, 63%: This set of values corresponds to a pattern of constant intensity for all 9 visits, which is not consistent with the program's recommendation.
Therefore, this option is not valid.
66%, 69%, 72%: This set of values corresponds to a pattern of increasing intensity over 3 visits, which is consistent with the program's recommendation.
Therefore, this option is valid.
66%, 62%, 58%: This set of values corresponds to a pattern of decreasing intensity over 3 visits, which is not consistent with the program's recommendation.
Therefore, this option is not valid.
63%, 65%, 67%: This set of values corresponds to a pattern of increasing intensity followed by decreasing intensity, which is consistent with the program's recommendation.
Therefore, this option is valid.
Therefore, there are only two valid options -
66%, 69%, 72%
63%, 65%, 67%
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Suppose that $16,000 is deposited for five years at 5 % APR. Calculate the interest earned if interest is compounded semiannually. Round your answer to the nearest
cent.
\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$16000\\ r=rate\to 5\%\to \frac{5}{100}\dotfill &0.05\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{semi-annually, thus twice} \end{array}\dotfill &2\\ t=years\dotfill &5 \end{cases} \\\\\\ A=16000\left(1+\frac{0.05}{2}\right)^{2\cdot 5}\implies A=16000(1.025)^{10}\implies A\approx 20481.35\)
$16000 for five years at 5% APR compounded semiannually gives an interest of 4481 dollars.
What is compound interest?Borrowers are required to pay interest on interest in addition to principal since compound interest accrues and is added to the accrued interest from prior periods.
We know the formula for compound interest compounded semiannually is,
A = P[1 + (r/2)/100]²ⁿ.
Where, A = amount, P = principle, r = rate and n = time in years.
Given, $16,000 is deposited for five years at 5 % compounded semiannually.
A = 16000[1 + (5/2)/100]²ˣ⁵.
A = 16000[1 + 0.025]¹⁰.
A = 16000[1.025]¹⁰.
A = 16000×1.28.
A = 20481.
So, the interest earned is (20481 - 16000) = 4481 dollars.
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Porter drove due east 20 miles on Interstate 23, then due south 23 miles on Interstate 77. To the nearest hundredth of a mile, how far was he from his starting point?
A. 30.48 mi
B. 26 mi
C. 11.36 mi
D. 43 mi
Answer: D. 30.48 miles
Step-by-step explanation:
You basically use Pythagorean Theorem!
a2 + b2 = c2
Square root 20^2 +23^2
=√20^2 + 23^2
=20 x 2 + 23 x 2
= 929
And round it=
30.48 miles.
Please help, I’ll mark your answer as brainliest.
Loudness, pitch, and timbre are the three psychological aspects of sound that are influenced by the physical properties of sound waves.
What is a sound wave?When energy moves through a medium (such as air, water, or any other liquid or solid matter), it creates a pattern of disturbance known as a sound wave that propagates away from the sound source.
When an object vibrates, sound waves are produced that are similar to pressure waves, like when a phone rings.
Pitch, intensity, and timbre are three key components of the field of sound psychology or psychoacoustics. People can distinguish the harmonics of a complex periodic sound wave under certain conditions thanks to the way that humans perceive sound and music.
Thus, loudness, pitch, and timbre are the three psychological aspects of sound that are influenced by the physical properties of sound waves.
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Help !! Pls :3:’dnmdnsnms
The congruent reason for the triangles is (b) HL theorem
How to determine the congruent statement?From the question, we have the following parameters that can be used in our computation:
Triangles = FGH and JHK
The SSS similarity theorem implies that the corresponding sides of the two triangles in question are not just similar, but they are also congruent
From the question, we can see that the following corresponding sides on the triangles:
Sides GH and HK
Sides FH and JK
These parameters are given in reasons (2) and (3) and it implies that these sides are congruent sides
For the triangle to be congruent by SSS, the following sides must also be congruent
GH must be congruent to HK
The above statement is true because point H is the midpoint of line GK
This is indicated in reason (2)
Hence, the congruent statement is SSS.
However, we can also make use of the HL theorem in (B)
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Amadi is three times as old as Chima. The sum of their ages is 24
Answer:
Amadi: 20 years old
Chima : 4 years old
pls answer me this all question correctly pls I beg you pls friends pls pls pls pls pls pls pls pls
Answer:
\(a. \: 28\)
\(b. \: 5\)
Step-by-step explanation:
\(a. \: 88 \div 3 \frac{1}{7} \)
\(88 \div \frac{22}{7} \)
Multiply the numerator by the reciprocal of the denominator.
\(88 \div \frac{7}{22} \)
\(4 \times 7\)
\(28\)
\(b. \: 49 \frac{2}{9} \div 9 \frac{4}{9} \)
\( \frac{425}{9} \div \frac{85}{9} \)
Multiply the numerator by the reciprocal of the denominator.
\( \frac{425}{9} \times \frac{9}{85} \)
\(5\)
Hope it is helpful...-8/9 + (-2)/57
find the absolute value of the following rational number
The absolute value of the Rational number -474/513 is 474/513.
To find the sum of the rational numbers -8/9 and -2/57, you need to have a common denominator. The least common multiple (LCM) of 9 and 57 is 513. So, you can rewrite the fractions with a common denominator:
-8/9 = (-8/9) * (57/57) = -456/513
-2/57 = (-2/57) * (9/9) = -18/513
Now, you can add the fractions:
-456/513 + (-18/513) = (-456 - 18)/513 = -474/513
To find the absolute value of the rational number -474/513, you simply ignore the negative sign and take the value as positive:
| -474/513 | = 474/513
Therefore, the absolute value of the rational number -474/513 is 474/513.
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What is the greatest whole number that rounds to 2,800 when rounded to the nearest hundred? The least whole number?
Answer:
The greatest is 2,799
The lowest is 2,750
Step-by-step explanation:
Answer: The greatest whole number: 2799
The least whole number: 2750
Step-by-step explanation: I just went by the rule five or more round-up.
Can someone please explain step by step on how I solve this equation?
-1 - (-0.25) = ?
Answer: -1 - (-0.25) = -0.75
Step-by-step explanation:
The way you would do that is by first pretending as the negative sign (-), isn't present.
Then do "1 - 0.25".
1.00 - 0.25 = 0.75
After you solved the equation, then we can add the negative sign (-), back into the equation = -1 - (-0.25) = -0.75 ✅
what is - 1/4 + 6 pls i need help
Answer:
Exact Form: 23/4
Decimal Form: 5.75
Mixed Number Form: 5 3/4
Step-by-step explanation:
Hope this helps! <3
Puis traveled one-quarter of the journey to his destination. He still has to cover 24km to reach the third-way mark. How many kilometers does he still have to travel to reach his destination
Answer:
The distance Puis still have to travel to reach his destination is 72 km.
Step-by-step explanation:
The given parameters about Puis journey are
Distance covered by Puis = 1/4 of total distance
Distance remaining for Puis to complete the journey = 3/4 of the journey
Distance of Puis from the third-way (central) mark = 24 km
Therefore;
Distance from 1/4 of journey to 1/2 of journey = 24 km
Hence, 1/2 - 1/4 = 1/4 of the journey = 24 km
Which gives Total distance covered by Puis = 24 km
Total distance of the journey = 4 × 24 km = 96 km
The distance Puis still have to travel to reach his destination = 96 - 24 = 72 km.
How do I find GBA and show all the work
Answer:
Angle ACB = 44°
There are two ways to solve it. Both are right
Solution number 1
From triangle ABC
angle BAC = 180°-(102° +44°) = 36°
Because BG is parallel with AC
Then angle GBA = angle BAC = 34°Another solution
The sum of angles in the shape AGBC = 360°
So angle GBC = 360 - (90 + 90 + 44 + 102) = 34°I really need help with this question
The length of each side of the wood is 5 centimetres.
How to use quadratic equation to find the length of each side of the wood?Doug has 8 square pieces of wood. Each piece of wood have a side length of s cm. The total area of all 8 pieces of wood is 200 cm².
Hence, using quadratic equation let's find the length of each side of the wood.
Therefore,
8s² = 200
Hence,
8s² = 200
divide both sides of the equation by 8
s² = 200 / 8
s² = 25
s = √25
s = 5 centimetres
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Graph the inverse of the function plotted, on the same set of axes. Use a dashed curve for the inverse.
-10
The graph of the inverse function is given by the image presented at the end of the answer, and the correct option is given by option 3.
How to obtain the inverse function?The parent function for this problem is the cube function translated up two units, hence it is defined as follows:
y = x³ + 2.
To obtain the inverse function, first we must exchange the variables x and y on the definition of the function, as follows:
x = y³ + 2.
Then we must isolate the variable y, as follows:
\(y^3 = x + 2\)
\(y = \sqrt[3]{x + 2}\)
Which has the correct dashed graph given by option 3 on the image given.
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How many tiles are there?
Answer:
71
Step-by-step explanation:
pls answer asap I'll mark u brainliest
Answer:
a)29
b)70
Step-by-step explanation:
The sum of the interior angles in a triangle is 180.
a)95+56+a=180 b)40+2b=180
151+a=180 2b=180-40
a=180-151 2b=140 /2
a=29 b=70
x^2+4/2 when x =-2 giving brainliest
Answer:
When x = -2 in (x² + 4)/2, 4 is the result.
Step-by-step explanation:
(x² + 4)/2
Substitute value into varaible.
((-2)² + 4)/2
Square -2. Remeber that (-x)² = x²
(4 + 4)/2
Add 4 and 4.
8/2
Divide 8 by 2.
4
Work out 65% of 300.
Step-by-step explanation:
21.6%
mark as brainliest
Answer:
195
Step-by-step explanation:
65%=65÷100=0.65
0.65×300=195
A rectangular solid (with a square base) has a surface area of 337.5 square centimeters. Find the dimensions that will result in a solid with maximum volume.
We are given the following information:
rectangular solid with a square base
surface area = 337.5 cm^2
We are asked to find the dimensions that will give us the maximum volume.
First, we need to represent the dimensions of the given solid. If x = the side of the square base, then we can represent the height as:
\(\begin{gathered} SA=2(lw+lh+wh) \\ SA=2(x^2+xh+xh) \\ SA=2(x^2+2xh) \\ 337.5=2(x^2+2xh) \\ 168.75=x^2+2xh \\ 168.75-x^2=2xh \\ \frac{168.75-x^2}{2x}=h \end{gathered}\)So we can express the volume of the solid figure as:
\(Volume=f(x)=(x)(x)(\frac{168.75-x^2}{2x})\)Simplifying the equation, we get:
\(\begin{gathered} f(x)=\frac{x(168.75-x^2)}{2} \\ f(x)=\frac{1}{2}(168.75x-x^3) \\ \\ f(x)=84.375x-0.5x^3 \end{gathered}\)To find the maximum value of x, we will calculate the derivative of f(x).
\(f^{\prime}(x)=84.375-1.5x^2\)Then, we will find the value of x that will make f'(x) = 0.
\(\begin{gathered} 0=84.375-1.5x^2 \\ -84.375=-1.5x^2 \\ 56.25=x^2 \\ x=\pm7.5 \end{gathered}\)But because x represents the side of the square base, then we can only accept x = 7.5.
That gives us the height of:
\(\begin{gathered} h=\frac{168.75-7.5^2}{2(7.5)} \\ \\ h=\frac{168.75-56.25}{15} \\ \\ h=\frac{112.5}{15} \\ \\ h=7.5 \end{gathered}\)So, the dimensions of the solid figure must be 7.5 cm x 7.5 cm x 7.5 cm.
Algebra Question: Answer quickly.
Given the following functions:
f (x) = x2
g (x) = x − 3
Find the composition of the two functions and show your process:
Answer:
x^2 -6x +6
Step-by-step explanation:
f (x) = x^2
g (x) = x − 3
f(g(x)) = Substitute g(x) in for x in the function f(x)
= (x-3)^2 -3
=x^2 -3x-3x+9 -3
=x^2 -6x +6
What is the solution of this inequality?
r−6>−11
Drag and drop the choices to correctly complete the inequality.
help
The solution to the given linear inequality, r - 6 > -11, is r > -5
Solving Linear InequalitiesFrom the question, we are to determine the solution of the given inequality
The given inequality is
r - 6 > -11
To determine the solution of the inequality, we will solve the inequality for the unknown variable.
In the inequality, the unknown variable is r.
Solving the inequality for r
r - 6 > -11
Add 6 to both sides
r - 6 + 6 > -11 + 6
r > -5
Hence, the solution is r > -5
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3(−5.8 + w) = 22.62 what dose the W =
w = −1.3
w = 1.3
w = 5.6
w = 13.34
Answer:
d. w=13.34
Step-by-step explanation:
The value of w is 13.34 for the given equation. The correct answer is option D.
What is the solution to the equation?A solution to an equation is a number that can be substituted for the variable to provide a true number statement.
The equation is given as follows:
3(−5.8 + w) = 22.62
First, we distribute the 3 on the left side of the equation:
-17.4 + 3w = 22.62
Next, we isolate the variable by adding 17.4 to both sides of the equation:
-17.4 + 3w + 17.4 = 22.62 + 17.4
3w = 40.02
Finally, we solve for w by dividing both sides of the equation by 3:
w = 13.34
Therefore, the value of w is 13.34, so the answer is option D.
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