The law of large numbers says that as a company insures more and more workers chosen at random, the average costs get closer to $439. So, the answer is option B.
As a company insures more and more workers chosen at random, the average cost gets closer to $439.
The law of large numbers states that as the sample size increases, the sample mean gets closer to the population mean. In this case, the population mean is the mean worker's compensation claim cost of $439 per insured worker.
As the company insures more and more workers chosen at random, the sample size increases, and the sample mean of the worker's compensation claim cost will converge to the population mean of $439.
The law of large numbers does not guarantee that an insurance company can get an average workers' compensation cost lower than the mean by insuring a large number of people. The option B is correct.
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--The given question is incomplete, the complete question is given below
"Medical care and compensation costs for workers injured on the job vary a lot and are strongly skewed as a whole. The National Academy of Social Insurance reports that the mean worker's compensation claim cost in a year is = $439 per insured μworker, with standard deviation = $20,000. The law of large numbers says that σ(choose the correct option)
A) an insurance company can get an average workers’ compensation cost lower than the mean by insuring a large number of people.
B) as a company insures more and more workers chosen at random, the average costs gets closer to $439"--
given the data set 32, 18, 16, a, 23, 41 has a mean of 28. find the value of a.
Caleb got internet service at home from a company called "Inter-What??". The company charged him $28 to hook it up. Then joined Netflix. He pays $14. 99 a month to keep the internet connected and he also pays the same amount for Netflix. Write an equation
Caleb's yearly expense for his internet service and Netflix subscription is $695.76.
To write an equation for Caleb's yearly expenses, we need to first determine his total monthly expense and then multiply it by 12 to get the yearly expense.
Caleb's monthly expense can be calculated as the sum of the internet and Netflix costs, which is:
$14.99 + $14.99 = $29.98
To include the initial setup fee of $28, we can add it to the monthly expense to get
$29.98 + $28 = $57.98
This is Caleb's total monthly expense, and to find his yearly expense, we can multiply it by 12
$57.98 x 12 = $695.76
Therefore, the equation for Caleb's yearly expense is
Yearly expense = 12 x (monthly internet cost + monthly Netflix cost + initial setup fee)
Yearly expense = 12 x ($14.99 + $14.99 + $28)
Yearly expense = $695.76
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The given question is incomplete, the complete question is:
Caleb got internet service at home from a company called "Inter-What??". The company charged him $28 to hook it up. Then joined Netflix. He pays $14. 99 a month to keep the internet connected and he also pays the same amount for Netflix. Write an equation and find the yearly expense
please answer fast ! thanks
A quadratic functiοn f whose zeroes are 2 and 5 is f(x) = x² - 7x + 10.
WHAT IS QUADRATIC FUNCTION?A quadratic functiοn is a secοnd-degree pοlynοmial functiοn οf the fοrm:
f(x) = ax² + bx + c
where a, b, and c are cοnstants, and a is nοt equal tο 0. The graph οf a quadratic functiοn is a parabοla, which can οpen upwards οr dοwnwards depending οn the sign οf the leading cοefficient a.
The term ax² is the quadratic term, bx is the linear term, and c is the cοnstant term. The cοefficient a determines the shape οf the parabοla, while the cοnstants b and c determine its pοsitiοn and οrientatiοn.
Quadratic functiοns can have οne, twο, οr zerο real rοοts (alsο knοwn as sοlutiοns οr zerοs), which cοrrespοnd tο the x-intercepts οf the parabοla. The number and nature οf the rοοts depend οn the value οf the discriminant, which is given by b² - 4ac.
If the zeroes are x = 2 and x = 5 then the solutions must be:
(x - 2)(x - 5)
Multiply them and make a quadratic function
⇒ (x - 2)(x - 5)
⇒ (x² - 5x)- (2x - 5)
⇒ x² -5x - 2x + 5
⇒ x² -5x - 2x + 5
⇒ x² - 7x + 5
Comparing this to the form of the quadratic function f(x) = ax² + bx + c, we see that a = 1, b = -7, and c = 10. Therefore, the quadratic function with zeros at 2 and 5 is:
f(x) = x²- 7x + 10
So, the correct option is f(x) = x² - 7x + 10.
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SOMEONE PLEASE HELP
ME WITH THIS ONE
Answer:
A = 47 degrees
Step-by-step explanation:
cosineA = adjacent/hypotenuse
cosineA = 34/50
cosineA = 0.68
reverse cosine
A = 47 (rounded to the nearest whole number)
marcio is playing a video game. the number of minutes, x, marcio plays is related to the number of points, y, he earns. How many points does he earn per minute
Answer:
85 points per minute
Step-by-step explanation:
the points earned per minute is calculated as
[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₂, y₂) = (200, 17007) and (x₁, y₁ ) = (100,8507) ← 2 ordered pairs from table
points earned per minute = [tex]\frac{17007-8507}{200-100}[/tex] = [tex]\frac{8500}{100}[/tex] = 85
y=-4(x-2)^2+6? Solve foil
The solutions for the equation [tex]y=-4(x-2)^2+6[/tex] are as follows [tex]x = 2 + \sqrt{(6 - Y) / 4}[/tex] or [tex]x = 2 - \sqrt{(6 - Y) / 4}[/tex].
The given equation is in standard form for a quadratic equation, where the coefficient of [tex]x^2[/tex] is negative. This means the graph of the equation is a downward-opening parabola, and the vertex of the parabola is (2, 6).
To solve the equation, we can first isolate the variable Y on one side:
[tex]Y - 6 = -4(x - 2)^2[/tex]
Then we can divide both sides by -4:
[tex](Y - 6) / -4 = (x - 2)^2[/tex]
Next, we can take the square root of both sides:
[tex]\sqrt{[(Y - 6) / -4] }= x - 2[/tex]
[tex]\pm \sqrt{(Y - 6) / -4}= x - 2[/tex]
So the solutions are:
[tex]x = 2 + \sqrt{(6 - Y) / 4}[/tex] or [tex]x = 2 - \sqrt{(6 - Y) / 4}[/tex]
These equations give the x-coordinates of the points on the graph of the equation for a given value of Y.
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In a group of girls the probability of having red hair is 1/6. The probability of having blonde hair is 2 times more than the probability of having red hair and the probability of having brown hair is three times more than the probability to have red hair. Are there girls with other hair colors in the group.
Yes, it's possible probability for there to be girls in the group with other hair colors.
How to calculate probability?
Let's say there are n girls in the group.
The probability of a girl having red hair is 1/6, so the number of girls with red hair would be n/6.
The probability of a girl having blonde hair is 2 times more than the probability of having red hair. This means the probability of a girl having blonde hair is (2/1) times the probability of having red hair, or 2/7. So the number of girls with blonde hair would be (2/7)*n.
The probability of a girl having brown hair is three times more than the probability of having red hair. This means the probability of a girl having brown hair is (3/1) times the probability of having red hair, or 1/2. So the number of girls with brown hair would be (1/2)*n.
So far, we have accounted for:
n/6 girls with red hair
(2/7)*n girls with blonde hair
(1/2)*n girls with brown hair
If we add these up, we get:
n/6 + (2/7)*n + (1/2)*n = 7n/42 + 12n/42 + 21n/42 = 40n/42
This means that we have accounted for 40n/42 of the girls in the group. The remaining 2n/42 girls could have other hair colors, such as black or gray.
Therefore, it's possible for there to be girls in the group with other hair colors besides red, blonde, and brown.
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Can someone please helpppp me!!
The specified circle's center is at (-7, 4). The revised center will therefore be (-7 - 3, 4 - 4) = (-10, 0).
What's the new centre of circle and new equation?We must deduct 3 from x and 4 from y in order to move the circle 3 units to the right and 4 units below. The revised center will therefore be (-7 - 3, 4 - 4) = (-10, 0).
By inserting the new center and simplifying, it is possible to find the equation for the resulting circle. The equation for a circle has the conventional form[tex](x - h)^2 + (y - k)^2 = r^2[/tex], where (h, k) is the circle's center and r is its radius. Since the original equation is[tex](x+7)^2+(y-4)^2=36[/tex], we may substitute the new center (-10, 0) and the radius 6 to obtain [tex](x + 10)^2 + y^2 = 36[/tex]as the equation of the translated circle.
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11y + 3(2y - 4) slove
Answer: 17y - 12
Step-by-step explanation:
By distributing the 3 with the numbers inside the parentheses (2y - 4),
you would get: 6y - 12
You are left with: 11y + 6y - 12
Finally, by adding like terms, your answer would be 17y - 12
I NEED HELP ON THIS ASAP!!!!
28) A pilot of a helicopter is searching for an
injured hiker. While flying at an altitude
of 1500 feet, the pilot sees smoke at an
angle of depression of 14°. Assuming that
the smoke is a distress signal from the
hiker, what is the helicopter's horizontal
distance to the hiker? Round to the nearest
foot.
After answering the provided question, we can conclude that Therefore, trigonometry the helicopter's horizontal distance to the hiker is approximately 388 feet.
what is trigonometry?The study of the relationship between triangle wall lengths and angles is known as trigonometry. The topic first emerged in the Hellenistic era, around the third century BC, because of the utilization of geometry in astronomical studies. The branch of mathematics known as precise methods deals with certain quaternion functions and about there potential applications in computations. There are six commonly used trigonometric functions in trigonometry. Sine, cosine, tangent, buying new furniture, secant, and cosecant are their person names and acronyms (csc). The study of triangle properties, specially those of right triangles, is known as trigonometry. As a result, geometry is really the study of the properties of all geometric shapes.
We can use trigonometry to solve this problem. Let's start by drawing a diagram:
Hiker
/|
/ |
/ | 1500 ft
/ |
/θ |
/ |
/14° |
/_______|
Helicopter
We are looking for the horizontal distance between the helicopter and the hiker, which we can call x. We know the altitude of the helicopter (1500 ft), and we know the angle of depression (14°).
From the diagram, we can see that:
tan(14°) = x / 1500
We can solve for x:
x = 1500 * tan(14°)
x ≈ 387.7 ft
Therefore, the helicopter's horizontal distance to the hiker is approximately 388 feet.
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The data given represents the height of basketball players, in inches, on two different girls' teams.
Allstars
73 62 60
63 72 65
69 68 71
66 70 67
60 70 71
Champs
62 69 65
68 60 70
70 58 67
66 75 70
69 67 60
Compare the data and use the correct measure of center to determine which team typically has the tallest players. Explain your answer.
The Allstars, with a mean of about 67.1 inches
The Champs, with a mean of about 66.4 inches
The Allstars, with a median of about 68 inches
The Champs, with a median of about 67 inches
Median is 67. We see comparing the medians that the Allstars are likewise taller on average than the Champs. Conclusion is that the Allstars have taller players than the Champs based on central tendency from data.
We may compare the measures of central tendency of the heights of the players on both teams to see which team normally has the tallest players. The median and mean are the two often used measurements of central tendency based on data.
We add together all the heights and divide by the total number of players to determine the mean height for Allstars:
(73+62 + 60 + 63 + 72 + 65 + 69 + 68 + 71 + 66 + 70 + 67 + 60 + 70 + 71) / 15 = 1006 / 15 = 67.1 inches
We add together all the heights for the Champs and divide by the overall player count:
(15) = 996/15 = 66.4 inches (62+69+65+68+60+70+70+58+67+66+75+70+69+67+60)
We can observe from comparing the means that the Allstars are taller on average than the Champs.
Outliers or extremely high or low numbers in the data, however, can have an impact on the mean. We may determine the median, which is the midpoint value when the data is sorted in either ascending or descending order, to further evaluate the data.
We order the data according to Allstars:
60 60 62 63 65 66 67 68 69 70 70 71 71 72 73
The centre number, or median, is 68.
We order the information for the Champs:
58 60 60 62 65 66 67 68 69 70 70 75
The centre number, or median, is 67.
We can observe from comparing the medians that the Allstars are likewise taller on average than the Champs.
We can therefore draw the conclusion that the Allstars typically have taller players than the Champs based on the metrics of central tendency.
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Which of the following is a solution to 2x^2 +2x-12+0
A) -12
B) -3
C) -2
D) 0
The solutions to the equatiοn [tex]2x^2 + 2x - 12 = 0[/tex] are x = 2 and x = -3.
What is quadratic equatiοn?It is a secοnd-degree quadratic equatiοn, an algebraic equatiοn in x. The quadratic equatiοn in its standard fοrm is written as Ax² + bx + c = 0, where a and b are the cοefficients, x is the variable, and c is the cοnstant term. An equatiοn must have a zerο-terminal term (a 0) fοr the x² cοefficent in οrder tο qualify as a quadratic equatiοn.
When cοnstructing a quadratic equatiοn in standard fοrm, the x² term is written first, fοllοwed by the x term, and finally the cοnstant term. The numerical values οf letters a, b, and c are typically expressed as integral values rather than fractiοns οr decimals.
[tex]x = (-b \± \sqrt{ (b^2 - 4ac)}) / 2a[/tex]
where a = 2, b = 2, and c = -12. Substituting these values, we get:
[tex]x = (-2 \± \sqrt{(2^2 - 4(2)(-12))) / 2(2)[/tex]
[tex]x = (-2 \± \sqrt{(100)}) / 4[/tex]
[tex]x = (-2 \± 10) / 4[/tex]
Sο the sοlutiοns are:
x = (-2 + 10) / 4 = 8/4 = 2
x = (-2 - 10) / 4 = -12/4 = -3
Therefore, the solutions to [tex]2x^2 + 2x - 12 = 0[/tex] are x = 2 and x = -3.
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1. When it comes to laws about alcohol, when is a person no longer
considered a minor?
O A. At 16 years of age
O B. At 18 years of age
O C. At 21 years of age
O D. At 30 years of age
Submit
two step equations
find the variable in the equation
2(x+2)= -8
[tex] \texttt{2(x + 2) = - 8} \\ \: \: \: \: \texttt{2x + 2 = - 8} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \texttt{2x = - 8 - 2} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \texttt{2x = - 10} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \tt{x = \cancel\frac{ - 10}{2} } \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \boxed{\texttt \purple{ x = - 5} \: }[/tex]
━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━
hope it helps-
Would you rather invest $250 in a simple interest account earning 3% over 3 years or a compound interest account that earns 4% over 2 years?
Which account earns more?
By how much? $
To compare the two accounts, we need to calculate the final amount in each account after the given period.
For the simple interest account:
I = P * r * t
I = 250 * 0.03 * 3 = $22.50
Final amount = P + I = $272.50
For the compound interest account:
Final amount = P * (1 + r/n)^(nt)
Final amount = 250 * (1 + 0.04/2)^(22) = $276.16
Therefore, the compound interest account earns more by $3.66 ($276.16 - $272.50).
Answer:4% over 2 years
Step-by-step explanation:
If we know that 1 meter (m) is approximately 1.09361 yards (yd), what is a step to
convert 18 meters to yards?
Multiply 18 m by 0.09361 yd.
Divide 18 m by 1.09361 yd.
1m
Cross multiply the proportion 1.09361 yd
Divide 1.09361 yd by 18 m.
=
18 m
x
1. Option 1 multiply 18 m by 0.09361 yd is the correct answer.
2. The cost of the wallpaper will be $1013.
What is conversion factor?A conversion factor is a ratio used to convert a measurement in one unit to the equivalent measurement in another unit.
In order to convert 18 meters to yards, we must multiply 18 m by 0.09361 yd.
This is because when converting from one unit to another, we must use the conversion factor to multiply, rather than divide.
In this case, the conversion factor is 0.09361 yd/m.
Therefore, we must multiply 18 m by 0.09361 yd to get the answer.
Therefore, the correct answer is option 1, which is to multiply 18 m by 0.09361 yd.
2. To answer the second question, Ken is buying wallpaper. It costs $6.49 per meter.
He needs 512 feet.
To calculate how much the wallpaper will cost, first convert 512 feet to meters.
1m = 3.28ft,
therefore 512ft ÷ 3.28ft = 156.1m.
Then multiply the cost of wallpaper per meter, $6.49, by the number of meters needed, 156.1m.
156.1*$6.49=$1013.07.
To round the nearest half dollar, the cost of the wallpaper will be $1013.
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1 3/4 x 3 1/3 can someone help please
Answer: 5 1/12
Step-by-step explanation:
1. Conversion a mixed number 1 3/4 to a improper fraction: 1 3/4 = 1 3/4 = 1 · 4 + 3/4 = 4 + 3/4 = 7/4
2. Conversion a mixed number 3 1/3 to a improper fraction: 3 1/3 = 3 1/3 = 3 · 3 + 1/3 = 9 + 1/3 = 10/3
3. Add: 7/4 + 10/3 = 7 · 3/4 · 3 + 10 · 4/3 · 4 = 21/12 + 40/12 = 21 + 40/12 = 61/12
The circumference would , 1 of 2. select choice . for example, a circle with a radius of 3 feet would have a circumference that is about 18 feet. when the radius doubles to 6 feet, the circumference is about , 2 of 2. select choice feet.
The circumference of the circle with a radius of 6 feet would be approximately 37.7 feet.
The circumference of a circle is the distance around the outer edge of the circle. It is the perimeter of the circle, which is the total length of the boundary that encloses the area of the circle.
The formula for the circumference of a circle is
C = 2πr
Where C is the circumference, r is the radius, and π is approximately 3.14.
If a circle has a radius of 3 feet, the circumference would be
C = 2πr
C = 2π(3)
C ≈ 18.85 feet
When the radius doubles to 6 feet, the circumference would be
C = 2πr
C = 2π(6)
C ≈ 37.7 feet
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Answer:
double, and 36
Step-by-step explanation:
Mc graw hill
Q...
I am stuck on this question. please help!
The coordinates after dilation are A (-0.5 , 1) , B(1,0.5) , C(0.5,-0.5) and D(0,0).
What is dilation?
Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original. Yet, there is a variation in the shape's size.
Here , we need to find coordinates before using dilation. Then the coordinates are,
A=(-1,2) , B=(2,1) , C=(1,-1) and D=(0,0).
The scale factor = 0.5
For dilation coordinates we need to multiply coordinates by using scale factor. Then,
A = (-1,2) => (-1×0.5, 2×0.5) => (-0.5 , 1)
B = (2,1) => (2×0.5 , 1×0.5) => (1,0.5)
C = (1 , -1) => (1×0.5 , -1×0.5) => (0.5, -0.5)
D = (0 , 0) => (0×0.5 , 0×0.5) => (0,0)
Hence the coordinates after dilation are A (-0.5 , 1) , B(1,0.5) , C(0.5,-0.5) and D(0,0).
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8
08 √13
The measure of cls.
04√13
16 √13
12
V208
Answer: 4[tex]\sqrt{13}[/tex]
Step-by-step explanation:
pythagrean's therom: a^2 +b^2 = c^2
(8)^2 +(12)^2 = c^2
64 +144 = c^2
[tex]\sqrt{208}[/tex] = c
[tex]\sqrt{(4)^2 (13)}[/tex] = c
4[tex]\sqrt{13}[/tex] = c
part E The altitude found in the previous activity was 9.000. Does this new method give the same solution Why or why not?
If they are equal, then the methods are consistent; if not, they yield different solutions, possibly due to varying techniques or assumptions.
Hi! Based on the information provided, it seems you are comparing two methods for finding the altitude of a triangle.
The previous activity gave an altitude of 9,000. If the new method also results in an altitude of 9,000, then both methods give the same solution.
To determine if they are the same, compare the calculated values from each method.
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- Find the forty-third term of the sequence
defined by a, = 1,916,,an =an-1-163.
The 43rd term of the sequence is -4,930.
What is recursive formula?A recursive formula is one that defines each term in a sequence by reference to the one before it (s). The following parameters are defined using the recursive formulas:
The opening phrase of the series
The formula to calculate any phrase from its previous term
In the given series we have, a_1 = 1,916 and a_n = a_{n-1} - 163.
Thus,
a_1 = 1,916
a_2 = a_1 - 163 = 1,753
a_3 = a_2 - 163 = 1,590
a_4 = a_3 - 163 = 1,427
Here, each term is 163 less than the previous term.
Thus,
a_{43} = a_{42} - 163 = a_1 - 42(163) = 1,916 - 6,846 = -4,930
Hence, the 43rd term of the sequence is -4,930.
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will give brainleist
Answer:
it 50°
Step-by-step explanation:
D is the reflection of x
A company is conducting a study on the effectiveness of its orthotic shoes among its 4,800 customers. There are five experimental groups, and the company randomly assigns 60 participants to each group. In the first group, 70% of participants said the shoes relieved their foot pain. Also, 60% of the second group, 45% of the third group, 55% of the fourth group, and 65% of the fifth group said the shoes relieved their pain. Of the company's customers, how many would be expected to experience pain relief from the shoes?
Of the company's customers, the number that would be expected to experience pain relief from the shoes is 2832.
What is an experiment?An experiment is a process done by scientific and mathematical methods.
Analysis:
The number of people in each group is:
in the first group "60x70% = 672
in the second group 960X 60% =576
in the third group 960x 450 x 8432
in the fourth group 960 x 55% =528
in the fifth group 960x65% =62e
The total number of five experimental groups of customers is
2832.
Therefore, the total number of five experimental groups of customers is
2832.
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Determine the missing dimension: the area of a triangle is 3x^3 - 9x^2 square units. The height of the triangle is 2x - 6 units. What is the length of the base?
Answer:
b = 6(x - 3)
Step-by-step explanation:
Use the area model to multiply -10(15+ 25h).
4) First, find the partial products.
-10
15
I
◄) Now, write the product.
-10(15 + 25h) =
25h
The product of -10(15 + 25h) is -150 - 250h.
What is Product?In mathematics, a product is the result of multiplying two or more numbers or quantities together. The product is a fundamental operation in arithmetic and algebra, and it is denoted by the symbol "×" or "." or by placing the numbers or quantities next to each other without any symbol.
In the given question,
To use the area model to multiply -10(15+ 25h),We can label the dimensions of the rectangle as 15 and 25h, and we can label the value we want to multiply by (-10) as -10. Then, we can find the area of each of the smaller rectangles by multiplying the corresponding dimensions together:
The area of the left rectangle is 15 x (-10) = -150.The area of the right rectangle is 25h x (-10) = -250h.To find the product of -10(15 + 25h), we can add the areas of the two smaller rectangles:
-10(15 + 25h) = -150 - 250h
Therefore, the product of -10(15 + 25h) is -150 - 250h.
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As a person ages beyond 30, his or her height can start to decrease by approximately 0.06 cm per year what would be a good equation that will be similar
The equation to estimate a person's height (in cm) at any given age x (in years) after age 30:
h(x) = h(30) - 0.06(x - 30)
What is the rate?
A rate is a measure of the amount of change of one quantity with respect to another quantity. It is expressed as a ratio of two different units, and it indicates how fast or slow one quantity is changing in relation to another quantity.
If we assume that a person's height decreases by 0.06 cm per year starting at age 30,
we can use the following equation to estimate a person's height (in cm) at any given age x (in years) after age 30:
h(x) = h(30) - 0.06(x - 30)
where h(30) represents the person's height at age 30.
This equation assumes that the rate of height decrease is constant and linear over time.
Hence, the equation to estimate a person's height (in cm) at any given age x (in years) after age 30:
h(x) = h(30) - 0.06(x - 30)
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I’m confused please help?!
Step-by-step explanation:
1) v=πr^2×h
v= π 1.5^2×3
v=21.205750411731
to 2dp v= 21.21
2) v=πr^2×h
v=π×1.5^2×3.5
v=24.740042147019
to 2 dp v= 24.74
Answer:
1. 6.75π or 21.2 cubic inches (nearest tenth)
2. 7.875π or 24.7 cubic inches (nearest tenth)
Step-by-step explanation:
The formula to find the volume of a cylinder is:
[tex]\boxed{V=\pi r^2 h}[/tex]
where:
r is the radius of the circular base.h is the height of the cylinder.[tex]\hrulefill[/tex]
Question 1Given values:
r = 1.5 inchesh = 3 inchesSubstitute the given values into the formula and solve for V:
[tex]\begin{aligned}\implies V&=\pi r^2 h\\&=\pi \cdot 1.5^2 \cdot 3\\&= \pi \cdot 2.25 \cdot 3\\&=6.75 \pi \\&=21.2\; \sf in^3\;(nearest\;tenth)\end{aligned}[/tex]
Therefore, the volume of the cylinder is 6.75π or 21.2 cubic inches.
[tex]\hrulefill[/tex]Question 2Given values:
r = 1.5 inchesh = 3.5 inchesSubstitute the given values into the formula and solve for V:
[tex]\begin{aligned}\implies V&=\pi r^2 h\\&=\pi \cdot 1.5^2 \cdot 3.5\\&= \pi \cdot 2.25 \cdot 3.5\\&=7.875\pi \\&=24.7\; \sf in^3\;(nearest\;tenth)\end{aligned}[/tex]
Therefore, the volume of the cylinder is 7.875π or 24.7 cubic inches.
steve bought 10 gallons of gas at the gas station with the highest price
The required equation of change is : C= $40 - 10x, where x is the highest price of gas and C is the change.
Let's start by finding the total cost of the 10 gallons of gas. Let's assume that the price of gas is x dollars per gallon at the gas station with the highest price. Then, the total cost of 10 gallons of gas is:
10x dollars
Since Steve paid with two $20 bills, the total amount he paid is:
$40
Therefore, the equation we need to solve to find Steve's change is:
$40 - 10x = C
where C is the amount of change that Steve will receive. We can simplify this equation by subtracting 10x from both sides:
$40 - 10x - 10x = C - 10x
$40 - 20x = C - 10x
Then, we can simplify further by adding 10x to both sides:
$40 - 20x + 10x = C
$40 - 10x = C
Now, we have an equation that relates the price of gas to the amount of change that Steve will receive. To solve for C, we need to know the price of gas at the gas station with the highest price. Once we know that value, we can substitute it into the equation and solve for C.
Learn more about equation :
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The complete question is :
Steve bought 10 gallons of gas at the gas station with the highest price. He paid with two $20 bills. Write and solve an equation to find his change.