The largest N such that the probability that there are at least N survivors at age 95 is at least 90% is approximately 136.43.
The normal approximation can be used to estimate the number of survivors at a given age when the mortality follows the Standard Ultimate Life Table. The normal approximation assumes that the number of survivors follows a normal distribution.
Let X be the number of survivors at age 95. Then, the mean (μ) and standard deviation (σ) of X can be calculated using the following formula:
μ = 4,000 * e⁽⁻⁰.⁰⁷³⁶⁽⁹⁵⁻²⁵⁾⁾
σ = √(4,000 * (1 - e⁽⁻⁰.⁰⁷³⁶⁽⁹⁵⁻²⁵⁾⁾) * e⁽⁻⁰.⁰⁷³⁶⁽⁹⁵⁻²⁵⁾⁾)
Next, we can find the value of N such that P(X >= N) >= 0.9 using the standard normal distribution.
z = (N - μ) / σ
P(X >= N) = 1 - P(X < N) = 1 - Φ(z)
where Φ(z) is the cumulative distribution function of the standard normal distribution.
We want to find the largest N such that P(X >= N) >= 0.9, so we need to find the smallest z such that Φ(z) <= 0.1. The value of z can be found using a standard normal table or a calculator with normal distribution functions.
With a calculator, we get that z = 1.28. So, N = μ + z * σ.
Plugging in the values we calculated earlier, we get:
N = 4,000 * e⁽⁻⁰.⁰⁷³⁶⁽⁹⁵⁻²⁵⁾⁾ + 1.28 * √(4,000 * (1 - e⁽⁻⁰.⁰⁷³⁶⁽⁹⁵⁻²⁵⁾⁾) * e⁽⁻⁰.⁰⁷³⁶⁽⁹⁵⁻²⁵⁾⁾)
N = 4,000 * e⁽⁻⁰.⁰⁷³⁶⁽⁷⁰⁾⁾ + 1.28 * √(4,000 * (1 - e^⁽⁻⁰.⁰⁷³⁶⁽⁷⁰⁾) * e^⁽⁻⁰.⁰⁷³⁶⁽⁷⁰⁾⁾
N = 4,000 * 0.0337 + 1.28 * √(4,000 * (1 - 0.0337) * 0.0337)
N = 132.8 + 1.28 * √(4,000 * 0.966 * 0.0337)
N = 132.8 + 1.28 * √(13.97376)
N = 132.8 + 3.63323
N ≈ 136.43
So, the largest N such that the probability that there are at least N survivors at age 95 is at least 90% is approximately 136.43.
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what is the standard deviation of 5,7,9,11,13
Answer: √8
Step-by-step explanation:
Step 1: Find the mean.
(5+7+9+11+13)/5 --> 45/5 = 9
Step 2: Find each score's deviation from the mean.
5-9= -4
7-9= -2
9-9= 0
11-9= 2
13-9= 4
Step 3: Square each deviation from the mean.
-4^2 = 16
-2^2= 4
0^2 = 0
2^2 = 4
4^4 = 16
Step 4: Find the sum of squares.
16+4+0+4+16 = 40
Step 5: Find the variance.
40/5 = 8
Step 6: Find the square root of the variance.
the square root of 8 is √8
Scientific notation
The Scientific notation of [tex]$0.09 \cdot\left(9 \times 10^{-4}\right)$[/tex] be 0.000081.
What is meant by Scientific notation?Very big or very small numbers can be written using scientific notation. Once a number between 1 and 10 has been multiplied by a power of 10, it is then expressed in scientific notation.
Simple numerical writing is what scientific notation is. Because it is shorter and more efficient and indicates magnitude very easily, it is particularly helpful for expressing very large or very small values. Every real number can be expressed as the product of two parts: an integer power of ten and a decimal part.
Let the equation be [tex]$0.09 \cdot\left(9 \times 10^{-4}\right)$[/tex]
Apply exponent rule: [tex]$\quad a^{-b}=\frac{1}{a^b}$[/tex]
[tex]$=9 \times 0.09 \times \frac{1}{10^4}$$[/tex]
Multiply fractions: [tex]$\quad a \times \frac{b}{c}=\frac{a \times b}{c}$[/tex]
[tex]$=0.09 \times \frac{1 \times 9}{10^4}[/tex]
[tex]$& \frac{1 \times 9}{10^4}=\frac{9}{10000} \\[/tex]
simplifying the above equation, we get
= 0.09 × 9/10000
Multiply fractions: [tex]$\quad a \times \frac{b}{c}=\frac{a \times b}{c}$[/tex]
= 9 × 0.09/10000
= 0.81/10000
Divide the numbers: 0.81/10000 = 0.000081
= 0.000081
Therefore, the Scientific notation of [tex]$0.09 \cdot\left(9 \times 10^{-4}\right)$[/tex] be 0.000081.
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A city engineer has estimated the annual toll revenues from a newly proposed highway construction over 20 years as follows: An ($2,000,000) (n) (1.06)" 1, n = 1,2, ..., 20. To validate the bond, the engineer was asked to present the estimated total present value of toll revenue at an interest rate of 6%. Assuming annual compounding, find the present value of the estimated toll revenue.
Answer:
get a life
Step-by-step explanation:
The present value of the estimated toll revenue for the proposed highway construction is approximately $31,333,333.33.
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
To Calculate the percent of a number , divide the number by whole number and multiply by 100.
Now, Using the formula for the present value of an annuity, with a rate of 6% and 20 years, we get:
Present Value = $2,000,000 [ (1 - (1+0.06)⁻²⁰) / 0.06 ]
= $2,000,000 [ (1 - 0.312) / 0.06 ]
= $31,333,333.33
So, the present value of the estimated toll revenue for the proposed highway construction is approximately $31,333,333.33.
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The bearing of a ship R from a lighthouse L is 220°
A canoe C is due North of R.
C is the same distance from the ship and the lighthouse.
What is the bearing of L from C?
The bearing of L from C is 50°.
How to solve for the bearing of lighthouse L from canoe CFirst we need to use the concept of transitive bearings. Given the bearing of the ship R from lighthouse L as 220°, and the fact that canoe C is equidistant from R and L,
we can set up a pair of complementary angles to find the bearing of L from C.
Since C is due North of R, the bearing of R from C is 90°. Then, the bearing of L from R is 90° + 220° = 310°.
To find the bearing of L from C, we subtract this angle from 180°.
Therefore, the bearing of L from C is 180° - 310° = 50°.
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please help me with this question thank you
ind the area of the region enclosed by the curves yx and xy. question content area bottom part 1 set up the integral that gives the area of the shaded region. g
The area of the region enclosed by the given curves is 1/6.
The area of the region enclosed by a curve can be determined by doing a definite integral between the two points. The area under the curve y = f(x) is determined by integrating y = f(x) between the limits of a and b.
When the area of the region enclosed by two curves needs to be calculated the difference the function is integrated for the limits which are represented by the solution of the curves. The given curves are y = f(x) = x and y = g(x) = x^2. The solutions of the curves from the figure attached is (0,0) and (1,1).
Hence, the area is given as:
A = ∫_a^b▒〖((f(x)-g(x))〗 dx
A = ∫_0^1▒(x-x^2 ) dx
A = |1/2 x^2-1/3 x^3 |1¦0
A = 1/2 (1)^2- 1/3 (1)^3-(1/2 (0)^2- 1/3 (0)^3 )
A = 1/6
Note: The question is incomplete. The complete question probably is: Find the area enclosed between the curves y = x and y=x^2.
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The point A (2,1) has been marked.
(a) Mark the point B with co-ordinates (0,2)
(b) Mark the point C with co-ordinates (-1,1)
(c) There are three possible places for a fourth point D to make a parallelogram
using the four points A, B, C and D. Write down the coordinates of these three
points.
Take the vertices as A(2,1), B(0,2), C(-1,1) and D (x2,y2) The fourth coordinate is (1, 1)
How to find the fourth coordinate?Let the vertices ABCD represent the parallelogram.
The diagonals AC and BD bisect each other [property of parallelogram]
Mid point of AC = Mid point of BD ……….. 1
Mid point of AC = (x1+x2)/ 2 and (y1+y2) /2)
=(2-1)/2, (1+1)/2
=(1/2 , 1)
Mid point of BD= (x1+x2)/2, (y1+y2)/2
=(0+x2)/2, (2+y2)/2)
From equation 1
(1/2 , 1)=(0+x2)/2, (2+y2)/2)
{(1/2 , 1/1)} = {(0+x₂)/2 , (1+y₂)/2}
This implies that
1/2 = x₂/2 and 1/1 = (2+y₂)/2
Cross and multiplying we have
2x₂=2 and 2=2+y₂
Making x and y the subject of the relations
x₂=1 and y₂= 1
Therefore the fourth vertex D is (1,1)
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At a basketball game, a team made 52 successful shots. They were a combination of 1- and 2-point shots. The team scored 89 points in all. Write and solve a system of equations to find the number of each type of shot.
Answer:
15 1-point shots37 2-point shotsStep-by-step explanation:
You want a system of equations and their solution for the number of shots of each type if the total number is 52 and the points from 1- and 2-point shots total 89.
SetupLet x and y represent the numbers of 1- and 2-point shots, respectively. The problem description tells of two relations:
x + y = 52 . . . . . . . total of shots is 52
x + 2y = 89 . . . . . . total of points is 89
SolutionSubtracting the first equation from the second, we get ...
(x +2y) -(x +y) - (89) -(52)
y = 37
Then the first equation tells us ...
x = 52 -y = 52 -37 = 15
The team made 15 1-point shots and 37 2-point shots.
solve for x: [tex]2/3[/tex]x=6
Answer:
x = 9
Step-by-step explanation:
⅔x = 6
3/2 × ⅔x = 3/2×6
½ × 2 = 3×3
x = 9
At the sewing store, Olivia bought a bag of mixed buttons. She got 27 large buttons and 63 small buttons. What percentage of the buttons were large?
Answer: 80%
Step-by-step explanation:
Large Buttons=64
Small buttons = 16
64+16=80 (the total amount of buttons she got)
64/80 * 100%
0.8 * 100%
80%
Eva got an 80% of large buttons
Question content area top Part 1 Suppose the average yearly salary of an individual whose final degree is a master's is $44 thousand less than twice that of an individual whose final degree is a bachelor's. Combined, two people with each of these educational attainments earn $121 thousand. Find the average yearly salary of an individual with each of these final degrees. Question content area bottom Part 1 The average yearly salary for an individual whose final degree is a bachelor's is $ enter your response here thousand and the average yearly salary for an individual whose final degree is a master's is $ enter your response here thousand.
The average yearly salary of an individual with each of these final degrees is,
Master's individual earns average of $66,000 while the Bachelor's individual earns $55,000.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The average yearly salary of an individual whose final degree is a master's is $44 thousand less than twice that of an individual whose final degree is a bachelor's.
And, Combined, two people with each of these educational attainments earn $121 thousand.
Now, The total amount earned by a Bachelor's person be $x:
And, amount earned by a masters person will be; $(2x - 44)
Hence, Total amount earned by the two individuals will be;
⇒ x + (2x - 44) = 121
Solve for x as;
⇒ x + 2x - 44 = 121
⇒ 3x - 44 = 121
⇒ 3x = 121 + 44
⇒ 3x = 165
⇒ x = 165/3
⇒ x = 55
And, (2x - 44) = 2 × 55 - 44
= 110 - 44
= 66
Therefore we conclude that; master's individual earns average of $66,000 while the Bachelor's individual earns $55,000.
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The brain volumes (cm³) of 50 brains vary from a low of 906 cm³ to a high of 1498 cm³. Use the range rule of thumb to estimate the standard deviations and compare the result to the exact standard deviation of 171 cm³, assuming the estimate is accurate if it is within 15 cm³.
The estimated standard deviation is
Answer:
Step-by-step explanation:
The range of the brain volumes is:
Range = highest value - lowest value = 1498 cm³ - 906 cm³ = 592 cm³
According to the range rule of thumb, the standard deviation can be estimated as:
Standard deviation ≈ Range / 4
Standard deviation ≈ 592 cm³ / 4 ≈ 148 cm³
The estimate of the standard deviation is within 15 cm³ of the exact standard deviation of 171 cm³, so it can be considered accurate according to the given criteria. However, note that the range rule of thumb is a very rough estimate and may not be very accurate in all cases.
Answer:
The range rule of thumb suggests that the estimated standard deviation is approximately 18.2 cm³. This estimate is within 15 cm³ of the exact standard deviation of 171 cm³, indicating that it is accurate.
2) If r=9, b=5, g=-6 , what does (r+b-g)(b+g) equal? A)-20 B) -8 C)8 D)19 E)20
Work Shown:
(r+b-g)(b+g)
(9+5-(-6))(5-6)
(9+5+6)(5-6)
(20)(-1)
-20
using the following data on the observations 10, 13, 4, and 20, confirm that the complete linkage distance between the cluster containing {10, 13} and the cluster containing {4, 20} is 2.577 units as displayed in the dendrogram.
According to the dendrogram, the complete linkage distance between the cluster containing {10, 13} and the cluster containing {4, 20} is 2.577 units.
A dendrogram is a type of diagram that is used to represent the structure of a set of objects, where the objects are linked together in a hierarchy.
Now, let's take a closer look at the dendrogram that displays the complete linkage distance between the cluster containing {10, 13} and the cluster containing {4, 20}.
In this case, the maximum distance is
=> 20 - 4 = 16 units.
Next, we need to normalize the distance by dividing it by the square root of the number of data points in the two clusters. In this case, there are 4 data points in total, so the normalized distance is
=> 16 / √4 = 4.
Finally, we can use the formula for the complete linkage distance, which is given by
D = √2 * (1 - x),
where x is the normalized distance. Plugging in our values, we get
D = √2 * (1 - 4) = √2 * -3 = -2.236 units.
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5x+3y=-7 6x-7y=-8. Substitution method
The solution of the system is X = -73/53 and Y = -2/53.
What is the system of equations?One or many equations having the same number of unknowns that can be solved simultaneously called as simultaneous equation. And simultaneous equation is the system of equation.
Given:
System of equations,
5X + 3Y = -7 {equation 1}
6X - 7Y = -8 {equation 2}
From equation 1,
Y = (-7-5X)/3
Substituting the value to the equation 2,
6X - 7{(-7-5X)/3} = -8
18X + 49 + 35X = -24
53X = -24 - 49
53 X = -73
X = -73/53
And Y = -2/53
Therefore, X = -73/53 and Y = -2/53.
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A sales intern in a US metals company uses this graphic to follow industry trends and make informed business decisions. What graphic evidence best supports the claim that India is unlikely to be a strong competitor in the steel production industry in the future? India’s rate of steel production has gradually risen over China’s. India’s level of steel production in 2009 was much lower than that of all other countries. India’s total steel production and rate of production over a 30-year period has remained flat. China, Japan, and the US have had a much greater experience than India in producing steel
The graph backs up the assertion that India is unlikely to be a serious competitor in the steel production industry in the future because China, Japan, and the US have far more experience producing steel than India does.
What is an industry?A group of businesses or organisations that offer comparable goods or services is referred to as an industry. A few examples of the factors that can be used to define an industry include the kind of products or services they offer, their manufacturing procedures, the technology they use, or the customers they aim to serve. Development of industries was a result of the Industrial Revolution.
The graph shows that China, Japan, and the US all have a lot more experience making steel than India does, and India is not expected to become a significant competitor in the near future. Notwithstanding the nation's economic crisis, the industry—despite being one of the sectors that suffered the most—continues to play a vital role in the expansion of the economy.
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ANWSER 1 AND 2 PLEASE!!!
1. Carter bought a jet pack, he flew for 17 miles at 2 miles per minute. How long did carter travel on his jet pack?
2. Aniya has just become the world champion of cartwheels. She is able to travel at 0.5 mph doing cartwheels. She went a distance of 0.1 miles. How long did Aniya do cartwheels?
Answer:
The trip took 2.5 hours
Step-by-step explanation:
Answer:
1. 8 minutes and 30seconds
Step-by-step explanation:
Divide 17*2= 8.5
Rotate the figure shown 180° clockwise. Record the coordinates of the image.
What are the new coordinates for J'?
What are the new coordinates for L'?
What are the new coordinates for K'?
The coordinates of the figure after the rotation of 180° will result in a 180° clockwise and counterclockwise rotation: (x, y) becomes (-x,-y)
What is Rotation?The measure of the amount a figure is rotated about the center of rotation is called the angle of rotation. The angle of rotation is usually measured in degrees. We specify the degree measure and direction of a rotation.
90° clockwise rotation: (x,y) becomes (y,-x)
90° counterclockwise rotation: (x,y) becomes (-y,x)
180° clockwise and counterclockwise rotation: (x, y) becomes (-x,-y)
270° clockwise rotation: (x,y) becomes (-y,x)
270° counterclockwise rotation: (x,y) becomes (y,-x)
Given data ,
Let the figure be represented as JKL
Now , the rotated figure be represented as J'K'L'
The coordinates of JKL be J ( x₁ , y₁ ) , K ( x₂ , y₂ ) and L ( x₃ , y₃ )
Now , let the rotation angle be d = 180°
For a rotation of 180° clockwise and counterclockwise rotation: (x, y) becomes (-x,-y)
Substituting the values in the equation , we get
The coordinates of J'K'L' is J' ( -x₁ , -y₁ ) , K' ( -x₂ , -y₂ ) and L' ( -x₃ , -y₃ )
Hence , the rotation is solved
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Suppose the value of y and the value of x vary together at a constant rate of change (so that Δy=0.5⋅Δx), and y=2.5 when x=2.
a. Suppose the value of x
varies from x=2 to x=5.75.
What is the value of y when x=5.75?
The government of Mexico declared blue sharks an endangered species.
They put tags on 36 blue sharks and release them. Later, they corral 130
blue sharks; among those blue sharks, 20 were tagged. Find the best
estimate for the blue shark population?
The best estimate for the blue shark population would be = 234.
How to calculate the estimate for blue shark population?The total number of blue sharks that was tagged and released = 36 blue sharks.
The total number of sharks that the government corral = 130.
The number of sharks among the corral sharks that are tagged = 20
Since 130 = 20
X. = 36
Make X the subject of formula;
X = 130× 36/20
= 468/20
= 234.
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Use a net of the square pyramid, if necessary, to find the surface area of the pyramid.
The surface area of the pyramid is 25 + 10h.
What is pyramid?A three-dimensional shape is a pyramid. A pyramid's flat triangular faces unite at a common point known as the apex and have a polygonal base. The bases are joined to the peak to create a pyramid. The lateral face is a triangle face formed by the connection of each edge of the base to the apex.
Given:
A pyramid with the square base.
The side of the base is 5 unit.
So, the surface area of the pyramid,
= base area + 1/2 x perimeter of base x slant height
= (5 x 5) + 1/2 x (4 x 5) + h
= 25 + 10h
Hence, surface area is 25 + 10h.
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Solve the inequality for x.
-5x + 20 < 5
A x < 3
B x > 5
C x > -5
D x < -5
E x > 3
Answer: E. x > 3
Step-by-step explanation:
Step 1: Subtract 20 from both sides.
−5x +20 − 20 < 5 − 20
−5x < −15
Step 2: Divide both sides by -5.
−5x/−5 < −15/−5x
x > 3
On a number line, it would look like this:
a) how far has the beam diverged from its assigned target when it reaches the moon? (the distance from the earth to the moon is 240,000 mi. round your answer to the nearest mile.)
The beam has diverged from its target by approximately 2097.80 miles when it reaches the moon.
What is the tangent function?
The tangent function is one of the main six trigonometric functions and is generally written as tan x. It is the ratio of the opposite side and the adjacent side of the angle in consideration in a right-angled triangle.
To calculate the distance the beam has diverged from its target, we need to find the horizontal distance the beam has traveled.
To do this, we'll use the tangent function:
tan(0.5°) = horizontal_distance / 240,000 miles
Rearranging the equation and solving for the horizontal distance, we get:
horizontal_distance = 240,000 miles * tan(0.5 degrees) = 240,000 miles * 0.008726646 = 2097.80 miles
Therefore, the beam has diverged from its target by approximately 2097.80 miles when it reaches the moon.
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Let give the number of liters of fuel oil burned in hours, and the number of gallons burned. Find a formula for by scaling the output of . Use the fact that 1 gallon equals 3.785 liters. You may enter the function verbatim, as you would for any other named function.
Answer: To convert liters of fuel oil burned in hours to gallons, we can use the conversion factor that 1 gallon is equal to 3.785 liters. The formula for the conversion can be represented as a function:
def liters_to_gallons(liters):
return liters / 3.785
Here, the input liters represents the number of liters of fuel oil burned in hours, and the output of the function is the equivalent number of gallons. The function performs the conversion by dividing the input value (in liters) by the conversion factor (3.785).
What are all the factors of the number 16
Answer: 1,2,4,8,16
Step-by-step explanation: All of the factors of a number multiply to equal a certain number.
PLEASE HELP!
Determine the terms and the coefficients of the terms for the
polynomial
x^2-3x+2
Complete the table for the polynomial
Terms Coefficients
X^2 ?
? -3
2 ?
Answer:
x^2=1
3x=+3
2=+2
Step-by-step explanation:
answers
1
3x
+2
hope it helps
What is equivalent to 9+7x-3y
Answer:
16-3y
Step-by-step explanation:
9+7= 16
16-3y. first u do the ones that the same and don't have a letter after them. then you do the letter which in this case u just put the minus sign befor and it cokes out to 16-3y.
13. ABCD is
a. Congruent
b. Similar
c. Neither
to A'B'C'D'.
Answer:
a
Step-by-step explanation:
Congruent shapes are shapes that are exactly the same. The corresponding sides are the same and the corresponding angles are the same. To do this we need to check all the angles and all the sides of the shapes. as you can see they are exactly the same
Answer:
Step-by-step explanation:
Similar
Is he redoing the whole yard or just the front?
He's redoing the whole yard
How much topsoil does he need?
You will have to figure that out.
Remember he's putting a new 4 inch layer down over all the area currently covered by grass in the overhead picture above.
How big is the yard?
You can estimate it using the overhead schematic.
What kind of pickup truck does he drive?
A 2003 Ford F-150 XL.
How much can the pickup carry?
The truck bed is 80 inches long, 69
inches wide, and 20 inches tall.
How much is the delivery charge?
$30 per truckload on top of the soil cost. Each truckload can deliver up
to 18 cubic yards.
How much does the topsoil cost?
$18 per cubic yard (sold in 1/4 cubic
yard increments).
How far is the soil store?
It is 9 miles away. It takes about 20 minutes to drive there.
What gas mileage does the pickup truck get?
It averages 17 miles to the gallon.
What is the current gas cost?
Assume it's $3.79/gallon.
Using this information, figure out whether your neighbor will save money by picking up the soil himself. Use the results of your calculations to guide your decision: would you recommend that your neighbor pick up the soil himself, or pay for delivery?
Written Assignment: Write out your calculations with college level presentation and written statements that guide the reader through your process. Don't just fill the page with calculations. Label with headers what calculations you are performing for each part of your analysis. Clearly write out your final conclusions with your cost analysis using complete sentences. You need to submit your best work for evaluation, not a page of scratch paper.
1. How big is the area of the yard?
Area of the property:
Area of the house:
Area of the driveway:
Area of the yard (property – house – driveway):
2. How much topsoil will your neighbor need?
Convert 4 inches to feet:
Compute the cubic feet:
Convert cubic feet to cubic yards:
3. How much does the topsoil cost?
Amount of topsoil to be purchased:
Cost:
4. How much is the cost for delivery?
Number of truckloads:
Cost:
5. How much is the cost for your neighbor to pick up the topsoil himself?
Volume of the truck bed:
Convert cubic inches to cubic yards:
Number of trips:
Miles for number of trips:
Cost for gas:
He has to replace around 1775 square feet of yard, therefore after adding the 4 inches, he will require a total of 592 cubic feet of earth.
What is area?An object's area is how much space it takes up in two dimensions. It is the measurement of the quantity of unit squares that completely cover the surface of a closed figure. The square unit, which is frequently expressed as square inches, square feet, etc., is the accepted unit of area.
My calculations show that my Neighbour would save $20 by collecting the soil themselves. According to my calculations, he has to replace around 1775 square feet of yard, therefore after adding the 4 inches, he will require a total of 592 cubic feet of earth.
On the other hand, the man's truck can hold 110,400 cubic inches of dirt, and we know that we need 1,023,000 cubic inches of dirt, so we did a cubic feet to cubic inches calculation and found that it will take us 10 loads to get all the dirt. The shipping company charges $30 to deliver 18 cubic yards of dirt, but our neighbour needs about 22 cubic yards, so they will need to take 2 trips totaling $60 to get all the dirt. Since the store is 9 miles away, it will take 18 miles to transport each load of dirt.
With a total distance of 180 miles to travel and my neighbor's truck getting 17 miles per gallon, our estimated gas consumption is 10.6 gallons. At $3.79 per gallon, the 10.6 gallons of gas we'll need will cost us about $40. This indicates that we will save $20 by picking up the dirt ourselves rather than having it delivered.
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Question 5 of 21
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This test: 100 point(s) possible
This question: 5 point(s) possible
An electrician purchased 9 dimmer switches at $30 each and received a $8 credit for each of the five duplex receptacles she returned. Write out a mathematical
statement that gives the amount of money she spent, then calculate this total.
Select the correct choice below and fill in the answer box to complete your choice.
(Simplify your answer.)
OA. 9×$30+5x$8=$
OB. 9x$30-5x$8=$
OC. (9-5) x ($30-$8)-$
OD. (9+5)×($30+$8) = $
Submit test
Answer:
B
Step-by-step explanation:
she purchased 9 units at $30 each (= she spent 9×$30), and she received $8 credits for each of 5 units she returned.
so, the total money spent was
9×$30 - 5×$8 = $270 - $40 = $230
because we are looking at the money spent, any credit is then entering the calculation as '-', because it reduces the amount of money spent.