Answer:
Set your calculator to degree mode.
Please sketch the figure to confirm my answer.
tan(18°) = h/510
h = 510tan(18°) = 165.7 feet
Answer:
Construction Model Stats
User
Consider the time taken to completion time (in months) for the construction of a particular model of homes: 4.1 3.2 2.8 2.6 3.7 3.1 9.4 2.5 3.5 3.8 Find the mean, median mode, first quartile and third quartile. Find the outlier?
ChatGPT
To find the mean, we add up all the values and divide by the number of values:
Mean = (4.1 + 3.2 + 2.8 + 2.6 + 3.7 + 3.1 + 9.4 + 2.5 + 3.5 + 3.8) / 10
Mean = 36.7 / 10
Mean = 3.67
To find the median, we need to put the values in order:
2.5, 2.6, 2.8, 3.1, 3.2, 3.5, 3.7, 3.8, 4.1, 9.4
The middle number is the median, which is 3.35 in this case.
To find the mode, we look for the value that appears most often. In this case, there is no mode as no value appears more than once.
To find the first quartile (Q1), we need to find the value that separates the bottom 25% of the data from the top 75%. We can do this by finding the median of the lower half of the data:
2.5, 2.6, 2.8, 3.1, 3.2
The median of this lower half is 2.8, so Q1 = 2.8.
To find the third quartile (Q3), we need to find the value that separates the bottom 75% of the data from the top 25%. We can do this by finding the median of the upper half of the data:
3.7, 3.8, 4.1, 9.4
The median of this upper half is 3.95, so Q3 = 3.95.
To find the outlier, we can use the rule that any value more than 1.5 times the interquartile range (IQR) away from the nearest quartile is considered an outlier. The IQR is the difference between Q3 and Q1:
IQR = Q3 - Q1
IQR = 3.95 - 2.8
IQR = 1.15
1.5 times the IQR is 1.5 * 1.15 = 1.725.
The only value that is more than 1.725 away from either Q1 or Q3 is 9.4. Therefore, 9.4 is the outlier in this data set.
We can use trigonometry to solve this problem. Let h be the height of the building, and let d be the distance from the base of the building to the point where the angle of elevation is measured. Then we have:
tan(18 degrees) = h / d
Solving for h, we get:
h = d * tan(18 degrees)
Substituting d = 510 feet and using a calculator to evaluate the tangent of 18 degrees, we get:
h = 510 feet * tan(18 degrees)
h ≈ 157.3 feet
Rounding this to the nearest whole number, we get that the height of the building is approximately 157 feet.
Determine the equation of the circle. Center: (1,5) Radius: 2
The equation of the circle is x² + y² - 2x - 10y + 22 = 0
Define circleAny locations on a plane that are a certain distance from a fixed point (referred to as the radius) are considered to be parts of a circle, which is a two-dimensional geometric shape (is called the center). Each point on the circle may be found at the same distance from the circle's centre.
The following is the equation for a circle with centre (h,k) and radius r:
r²=(x - h)² + (y - k)²
In this case, the center of the circle is (1,5) and the radius is 2. So, we may change these values in the equation:
(x - 1)² + (y - 5)² = 2²
Simplifying and expanding the equation, we get:
(x - 1)×(x - 1) + (y - 5)(y - 5) = 4
x² - 2x + 1 + y² - 10y + 25 = 4
x² + y² - 2x - 10y + 22 = 0
Therefore, the equation of the circle is:
x² + y² - 2x - 10y + 22 = 0
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The radioactive element carbon-14 has a half-life of 5750 years. A scientist determined that the bones from a mastodon had lost 73.6% of their carbon-14. How old were the bones at the time they were discovered?
The bones were about how many years old?
The age of the radioactive element of half-life 5750 years is 11047.8 years.
What is a radioactive element?Radioactive elements are atoms that are unstable in normal conditions and are converted in another different atoms.
To calculate how old is the bone at the time it was discovered, we use the formula below.
Formula:
R/R' = [tex]2^{t/n}[/tex]...................... Equation 1Where:
R = Original percentage of the boneR' = Percentage of the bone after decayt = Years of the bonen = Half-lifeFrom the question,
Given:
R = 100%R' = 100-73.6 = 26.4%n = 5750 yearsSubstitute these values into equation 1 and solve for t
100/26.4 = [tex]2^{t/5750}[/tex][tex]2^{t/5750}[/tex] = 3.7878 t/5750 = log[tex]2^{3.7878}[/tex][tex]{t/5750}[/tex] = t/5750 = 1.921t = 1.921×5750t = 11047.8 yearsLearn more about radioactive element here: https://brainly.com/question/23759636
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Compute the area of the following triangle. (Express answer in cm^2)
b= 20in
h= 4in
A= ? Cm^2
Answer:
A = 40 cm^2
Step-by-step explanation:
The area of a triangle is given by
A = 1/2 bh where b is the base and h is the height
A = 1/2 ( 20) (4)
A = 40 cm^2
Answer:
40in²
Step-by-step explanation:
The formula to find the area of a triangle is:
[tex]\sf Area = \frac{1}{2}*Base*Height[/tex]
Accordingly, let us solve it now.
[tex]\sf \frac{1}{2}*Base*Height\\\\\sf \frac{1}{2}*20*4\\\\40\:in^2[/tex]
A science class measured the mass of an amount of sand.about how many grains of sand are there in 7 grams of sand
Therefore , the solution of the given problem of expressions comes out to be there are roughly 7,000 grains of sand in 7 grammes of sand.
What exactly is an expression?Instead of using random estimates, it is preferable to use shifting numbers that may also prove increasing, reducing, variable or blocking. They could only help one another by trading tools, information, or solutions to issues. The justifications, components, or quantitative comments for tactics like further disagreement, production, and blending may be included in the assertion of truth equation.
Here,
A kilogramme (1000 grammes) of sand is thought to contain around 1 million grains of sand. This indicates that 1 gramme of sand contains roughly 1000 grains of sand.
Using this calculation, we can determine how many sand grains there are in 7 grammes roughly as follows:
=> Number of sand grains in 7 grammes = (# of sand grains in 1 gramme) x (7 grams)
=> 1000 x 7 = the number of sand grains in 7 grammes.
=> 7,000 sand grains are included in 7 grammes.
In accordance with this calculation, there are roughly 7,000 grains of sand in 7 grammes of sand.
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AABC-ADEC. 1 and 2 have the same measure. Find DC and
DE. (Hint: Let DC = x and AC=x+4, Use the figure shown to the right.)
DC is unit(s) long.
(Round to the nearest tenth as needed.)
D
4
A
14
E
B
Answer: Since 1 and 2 have the same measure, angle CED is also equal to 1 and 2. Therefore, triangle CED and triangle CAB are similar by the Angle-Angle (AA) criterion.
Using the properties of similar triangles, we can set up the following proportion:
$\frac{CE}{CA}=\frac{CD}{CB}$
Substituting the given values:
$\frac{CE}{x+4}=\frac{x}{14}$
Cross-multiplying:
$14CE = x(x+4)$
$14CE=x^2+4x$
We also know that triangle ADE and triangle ABC are similar by the AA criterion. Therefore, we can set up the following proportion:
$\frac{DE}{AB}=\frac{AE}{AC}$
Substituting the given values:
$\frac{DE}{18}=\frac{AE}{x+4}$
Cross-multiplying:
$AE = 18\frac{DE}{x+4}$
Now, we can substitute the value of $AE$ in terms of $DE$ into the first equation:
$14CE=x^2+4x$
$14\frac{DE}{x+4}=x^2+4x$
$14DE=x^2+4x(x+4)$
$14DE=x^2+4x^2+16x$
$18x^2+16x-14DE=0$
We can now use the quadratic formula to solve for $x$:
$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$
$x=\frac{-16\pm\sqrt{(16)^2-4(18)(-14DE)}}{2(18)}$
$x=\frac{-16\pm\sqrt{256+1008DE}}{36}$
Since $DC=x$, we can now use this equation to find the value of $DC$ for a given value of $DE$. For example, if $DE=5$, we have:
$DC=\frac{-16\pm\sqrt{256+1008(5)}}{36}$
$DC\approx 2.3$ or $DC\approx -3.1$
Since distance cannot be negative, we choose the positive solution:
$DC\approx 2.3$ units.
To find $DE$, we can substitute the value of $DC$ back into one of the earlier equations:
$\frac{CE}{x+4}=\frac{x}{14}$
$\frac{CE}{2.3+4}=\frac{2.3}{14}$
$CE\approx 1.34$ units
Now we can use the second similarity proportion to find $DE$:
$\frac{DE}{18}=\frac{AE}{x+4}$
$\frac{DE}{18}=\frac{18-1.34}{2.3+4}$
$DE\approx 3.64$ units
Therefore, $DC\approx 2.3$ units and $DE\approx 3.64$ units.
Step-by-step explanation:
On a sample tray, 3 out of 6 cake samples are chocolate.
What is the probability that a randomly selected piece of cake will be chocolate?
Write your answer as a fraction or whole number.
The probability that a randomly decided piece of cake maybe chocolate is 1/2 or half of or 0.
The proportion of chocolate cakes to all other cakes can be used to calculate the probability that a person will pick a chocolate cake from the pattern tray.
In this case, there are 3 chocolate cakes out of a total of 6 cakes.
So the probability of selecting a chocolate cake is:
3/6 = 1/2 (Dividing the numerator and denominator by their greatest common factor, in this case, 3 will simplify the fraction 3/6.)
Therefore, the probability of selecting a chocolate cake is 1/2 or 0.5 when expressed as a decimal.
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to help open up a restaurant Alonzo borrowed money from his Credit Union.
he took out a personal amortized loan for $49,000 at an interest rate of 6.55% with monthly payments for a term of 6 years. is Alonso pays the monthly payment each month for the full term find his total amount to repay the loan
If Alonso pays the monthly payment each month for the full term. Alonzo will repay a total of $59,389.2 over the 6-year term of the loan if he makes the monthly payment each month.
How to find the total amount?To calculate the total amount that Alonzo will repay over the 6-year term of the loan, we need to use the formula for the monthly payment on an amortized loan:
M = P * (r/12) * (1 + r/12)^n / ((1 + r/12)^n - 1)
where:
M is the monthly payment
P is the principal amount
r is the monthly interest rate (which is the annual interest rate divided by 12)
n is the total number of payments (which is the number of years multiplied by 12).
Using the values given in the problem, we have:
P = $49,000
r = 6.55% / 12 = 0.005458333 (monthly interest rate)
n = 6 years * 12 months/year = 72
Substituting these values into the formula, we get:
M = $49,000 * 0.005458333 * (1 + 0.005458333)^72 / ((1 + 0.005458333)^72 - 1)
= $824.85 (rounded to the nearest cent)
To find the total amount he will repay, we can simply multiply the monthly payment by the number of payments:
Total amount =$824.85 * 72
Total amount = $59,389.2
Therefore, Alonzo will repay a total of $59,389.2 over the 6-year term of the loan if he makes the monthly payment each month.
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PLEASE HELP ME WITH THIS IM SO CONFUSED
The probability of hitting the shaded region is 0.755 or 75.5%.
What is the probability of hitting the shaded region?To find the probability of hitting the shaded region, we need to find the area of the shaded region and divide it by the area of the entire square.
Let's label the side length of the small square as x.
Then, we know that the diagonal of the small square is 7, so we can use the Pythagorean theorem to solve for x:
x^2 + x^2 = 7^2
2x^2 = 49
x^2 = 24.5
So the area of each white square is x^2 = 24.5 square units.
Let's label the side length of the large square as y.
Then, we know that the diagonal of the large square is 20, so we can use the Pythagorean theorem to solve for y:
y^2 + y^2 = 20^2
2y^2 = 400
y^2 = 200
So the area of the large square is y^2 = 200 square units.
Now, we can find the area of the shaded region by subtracting the area of the two white squares from the area of the large square:
Area of shaded region = Area of large square - 2 * Area of white square
= 200 - 2(24.5)
= 151
Therefore, the probability of hitting the shaded region is:
Probability = Area of shaded region / Area of entire square
Probability = 151 / 200
Probability = 0.755 or 75.5% (rounded to one decimal place)
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The amounts of nicotine in a certain brand of cigarette are normally distributed with a mean of 8.2 mg and a standard deviation of 1.45 mg. The company that produces these cigarettes claims that it has now reduced the amount of nicotine. The supporting evidence consists of a sample of 42 cigarettes with a mean nicotine amount of 7.73 mg.
Assuming that the given mean and standard deviation have NOT changed, find the probability of randomly seleting 42 cigarettes with a mean of 7.73 mg or less.
P(M < 7.73 mg) = ???
The probability of randomly selecting 42 cigarettes with a mean of 7.73 mg or less is: 0.0179
How to find the p-value from z-score?The formula to find the z-score of the given normal distribution is:
z = (x' - μ)/(σ/√n)
where:
x' is sample mean
μ is population mean
σ is standard deviation
n is sample size
We are given:
x' = 7.73 mg
μ = 8.2 mg
σ = 1.45 mg
n = 42
Thus:
z = (7.73 - 8.2)/(1.45/√42))
z = -2.1
From online p-value from z-score calculator, we have:
p = 0.0179
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Is it an integer?
19/20 - yes or no
32/4 - yes or no
74 - yes or no
23 - yes or no
5.95 - yes or no
Answer:
19/20--no
32/4--yes (32/4 = 8)
74--yes
23--yes
5.95--no
Lou is 1,200 feet from the base of a building that stands 500 feet tall. Assuming Lou's height is negligible, determine the angle of elevation from him to the top of the building. First, choose which angle represents the angle of elevation and then select the measure of that angle from the choices provided.
Select TWO correct answers.
We can see from the calculation that the angle of elevation of the building is 22.6 degrees.
Explain angle of elevation
The angle of elevation is the angle between the horizontal plane and the line of sight from an observer to an object that is above the observer's level. It is the upward angle from the observer's eye to the object being observed.
We have that;
Tan θ = 500/1200
θ = tan-1 (500/1200)
θ = 22.6 degrees
Thus the angle of elevation is obtained as 22.6 degrees as we can see here.
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Choose as many answers as apply. Which are stated goals for this class? Explain the basics of home mortgages. Increase your knowledge of consumer applications and personal financial management. O Help students develop their ability to apply math concepts to real-world problems. Provide students with the tools to plan for retirement.
The following are stated goals for this class:
1. Help students develop their ability to apply math concepts to real-world problems.
2. Increase your knowledge of consumer applications and personal financial management.
3. Explain the basics of home mortgages.
These goals are aimed at providing students with practical skills and knowledge that can be applied to their everyday lives, such as managing personal finances, understanding the mortgage process, and planning for retirement.
By learning math concepts in the context of real-world situations, students are better equipped to make informed decisions and solve problems that they may encounter in their personal and professional lives.
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5^-2 x ³√8
answer as a decimal
Answer: We can start by simplifying the cube root of 8:
³√8 = 2
Next, we can rewrite 5^-2 as 1/5^2:
1/5^2 x 2 = 1/25 x 2 = 2/25
So the answer, as a decimal, is 0.08 (or 0.08 rounded to two decimal places).
10. The time it takes to drain a swimming pool varies inversely with the amount of water being
pumped per hour. If a large pool takes 12 hours to empty at 400 gallons an hour, how many
hours faster can the pool be drained if the pumping rate is increased to 500 gallons per hour?
(teal)
To solve this problem, we can use the formula for inverse variation, which is:
time = k/ rate
where k is a constant of proportionality.
We can start by finding the value of k using the given information. We know that when the pumping rate is 400 gallons per hour, it takes 12 hours to drain the pool. Therefore:
12 = k/400
Multiplying both sides by 400 gives us:
k = 4800
Now we can use this value of k to answer the second part of the question. We want to know how many hours faster the pool can be drained if the pumping rate is increased to 500 gallons per hour. Let's call this new time t:
t = 4800/500
t = 9.6 hours
So the pool can be drained 12 - 9.6 = 2.4 hours faster if the pumping rate is increased to 500 gallons per hour.
True or False Deductive reasoning is when someone uses lots of data to make a conjecture.
Answer:
Step-by-step explanation:
The point R(1,– 2) is translated 2 units down. What are the coordinates of the resulting point, R'?
The coordinates of the resulting point, R', are (1,-4).
What are the coordinates of the resulting point, R'?A translation is a type of transformation in geometry that moves a point or an object from one place to another without changing its size, shape, or orientation.
To translate a point, you need to specify the direction and distance of the movement.
Given that:
The point R(1,-2) is being translated 2 units down, which means that it will move vertically downwards by a distance of 2 units.
The x-coordinate will remain the same, as the movement is only in the y-direction.
So, to find the coordinates of the resulting point, R', we subtract 2 from the y-coordinate of the original point R:
R' = (1, -2 - 2)
R' = (1, -4)
Therefore, resulting coordinates of R' are (1,-4).
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Anna baked 4 batches of cookies with c cookies in each batch she then ate 8 cookies there were 72 cookies left after Anna ate her cookies
The expression for the number of cookies Anna has left is [tex]3c - 8[/tex].
What does an expression means?An expression refers to statement that have minimum of two numbers or variables or both and an operator connecting them.
The total number of cookies Anna baked is:
= 3 batches * c cookies/batch
= 3c cookies
After eating 8 cookies, Anna has left:
= 3c cookies - 8 cookies
So, the expression for the number of cookies Anna has left is [tex]3c - 8[/tex].
Full question "Anna baked 3 batches of cookies with c cookies in each batch she then ate 8 cookies. How many cookies does anna have left write your answer as an expression.
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-5-4-3-2
y
5
3
+ do
Mark this and return
23
Which equation represents a circle with the same
radius as the circle shown but with a center at (-1, 1)?
(x-1)2 + (y + 1)² = 16
(x-1)² + (y + 1)² = 4
(x + 1)² + (y-1)² = 4
O(x + 1)² + (y-1)² = 16
Save and Exit
Next
Submis
The equation that represents the circle is (x + 1)² + (y - 1)² = 16
Writing the equation that represents a circleThe equation of a circle with center (h,k) and radius r is:
(x - h)² + (y - k)² = r²
To find the equation of the circle with center (-1,1) and radius 4, we need to shift the center of the circle to (-1,1).
We can do this by replacing x with (x - (-1)) = (x + 1) and y with (y - 1) in the equation of the original circle. This gives:
(x + 1)² + (y - 1)² = 16
This equation represents a circle with center (-1,1) and radius 4.
Therefore, the correct option is (O) (x + 1)² + (y - 1)² = 16.
The other options do not have the correct center or radius to describe the circle.
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Write the equation of a line that is perpendicular and passes through the midpoint of AB with A(-3, 5) and B(1, -1).
The given line AB is having endpoints A(-3,5) & B(1,-1).
To find the equation of line AB it can be written as[tex]y-y_1=(x-x_1){(y_2-y_1)/(x_2-x_1)}\\[/tex]
Substituting the given points
[tex]y-(-1)=(x-1){(5-(-1))/(-3-1)}\\[/tex]
y=-(3/2)x+1/2
For two perpendicular lines [tex]m_1*m_2=-1[/tex]
Therefore, (-3/2)*[tex]m_2[/tex]=-1
or [tex]m_2[/tex] = 2/3
Also, the midpoint of AB will be [tex]{1-(-3)}/2, {5-(-1)}/2[/tex] = (2,3).
The line passing through (2,3) & perpendicular to y=-3/2x+1/2 will be given as follows
(y-3)=(2/3)(x-2)
3y-9=2x-4
3y=2x+5 is the required equation of the line.
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After a scientific balloon was launched, it rose at a rate of about 440 feet per minute to a final
altitude of 92400 feet. Use function notation to write an equation giving the altitude of the
balloon as a function of time. Find out how long (in minutes) it took the balloon to reach its final
altitude.
Let h be the altitude of the balloon in feet and t be the time in minutes. At time t = 0, the balloon is at an altitude of h = 0. Since the balloon rises at a rate of 440 feet per minute, the equation that gives the altitude of the balloon as a function of time is:
h(t) = 440t
To find out how long it took the balloon to reach its final altitude of 92400 feet, we can set h(t) equal to 92400 and solve for t:
440t = 92400
t = 210
Therefore, it took the balloon 210 minutes to reach its final altitude.
Enter your answer by filling in the boxes.
The correct statement regarding the end behavior of the function is given as follows:
As x -> -∞, f(x) -> +∞.As x -> +∞, f(x) -> +∞.What is the end behavior of a function?The end behavior of a function refers to how the function behaves as the input variable approaches positive or negative infinity.
The function in this problem is given as follows:
f(x) = 2(x - 4)² + 3.
We have the square of a number, which is always positive, hence the function goes to positive infinity when the input goes to negative infinity/positive infinity.
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Sin-1 (-1/2) exact value
Step-by-step explanation:
Just use your calculator
arcsin( -1/2) = -30 degrees ( or 330 degrees or 210 degrees)
Which linear equation is represented in the graph?
*If correct giving brainlyest*
A. y = 2x – 1
B. y = –2x – 1
C. y = –2x + 1
D. y = 2x + 1
Answer:
C
x1=2
-2(2)+1=3
which is the answer for y1
This is ixl olease help
Answer:
m<H = 62.7°
Step-by-step explanation:
If we use an inverse sin, then that would be sin^-1(8/9) Because Sin equals opposite over adjacent.
Answer:
H = 62.7 degrees
Step-by-step explanation:
Because this is a right triangle, we can use one of the trigonometric functions to find angle H:
Notice that sides HJ and IJ are given. If we are trying to find angle H, then HJ is the hypotenuse (longest side) and IJ is the opposite (side opposite to the angle we are trying to find). Since the opposite and hypotenuse are both given, we can use a sine function to find the angle of H (keep in mind that sin(<) = opp/hyp):
sin(H) = 8/9
We have to use the inverse of sine (sin^-1 or arcsin) to find angle H and use a calculator to solve:
arcsin(8/9) = H = 62.7 degrees
Help pleaseeeee I would appreciate it
The answers of the matrix of A after adding -5 times row 1 to row 3 of matrix is
1 -1 5 | -1
1 -1 -4 | 5
0 9 -25 | 4
What is a matrix in mathematics ?A matrix is described as a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object or a property of such an object.
Matrices are useful for describing systems of linear or differential equations, as well as representing a linear application.
We perform the row operation and have:
1 -1 5 | -1
1 -1 -4 | 5
0 9 -25 | 4
The result after adding -5 times row 1 to row 3 of matrix is shown below:
1 -1 5 | -1
1 -1 -4 | 5
0 9 -25 | 4
In conclusion, in a matrix function, the input and the output values are matrices.
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Wendy is customizing shirts for the debate team. She can choose from 8 styles, 7 colors, and 7 collars. How many different shirts is it possible for Wendy to customize?
Answer:
392 conbinations
Step-by-step explanation:
multiply all 3 numbers to find conbinations.
8x7x7
=56x7(or 49x8)
=392
its prob wrong cuz i guessed so yeah
what number is 8% larger than 230
Answer:
That number is 230 × 1.08 = 248.4.
To find this number, we calculated 8% of 230, which is 18.4 , and then added it to 230, Hence The number that is 8% larger than 230 is 248.4.
How to solve for the numberTo find a number that is 8% larger than 230, we can calculate the 8% increase of 230 and add it to the original number.
Step 1: Calculate the 8% increase of 230:
8% of 230 = (8/100) * 230 = 0.08 * 230 = 18.4
Step 2: Add the 8% increase to 230:
230 + 18.4 = 248.4
Therefore, a number that is 8% larger than 230 is 248.4.
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The table shown below lists the U.S. presidents and their ages at inauguration. President Cleveland has two entries because he served two nonconsecutive terms.
Find the mean and the population standard deviation of the ages. Round each result to the nearest tenth.
mean
population standard deviation
The mean age of the U.S. presidents at inauguration is 54.7 years and the population standard deviation is approximately 5.7 years.
To find the mean and population standard deviation of the ages of the U.S. presidents at inauguration, we first need to calculate the sum of the ages and the number of presidents in the data set.
The sum of the ages is:
57 + 61 + 57 + 57 + 58 + 57 + 61 + 54 + 68 + 51 + 49 + 64 + 50 + 48 + 65 + 52 + 56 + 46 + 54 + 49 + 50 + 47 + 55 + 55 + 54 + 42 + 51 + 56 + 55 + 51 + 54 + 51 + 60 + 62 + 43 + 55 + 56 + 61 + 52 + 69 + 64 + 46 + 54 + 47 = 2,405
There are 44 presidents in the data set.
Therefore, the mean age is:
mean = sum of ages / number of presidents = 2,405 / 44 = 54.7
To find the population standard deviation, we first need to calculate the sum of the squared deviations from the mean:
(57 - 54.7)² + (61 - 54.7)² + ... + (47 - 54.7)² = 3,391.5
Then, we divide the sum of squared deviations by the number of presidents and take the square root:
population standard deviation = √(3,391.5 / 44) ≈ 5.7
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If the price of a round trip airline to Ireland is $1300 per person and Jan can spend at most $6000 what is the largest number of people for whom she can buy tickets
The largest number of people for whom she can buy tickets, is 4 people.
:: Available money = $6000
:: Cost per person = $1300
So,
No. of maximum tickets = 6000/1300 = 4.6
That is,
Only 4.6 persons can have the tickets, and since, number of persons can only be a positive integer, so we have to only take the integer part of the number and eliminate the decimal part.
Therefore, the largest number of people for whom she can buy tickets, is 4 people.
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Camping A guy rope is attached to the top of a tent pole. The guy rope is pegged into the ground 5 feet from the tent. If the guy rope is 11 feet long, how long is the tent pole?