Answers
Related Questions
The table shows information about the
masses of some dogs.
a) Work out the minimum number of
dogs that could have a mass of more than 27 kg.
b) Work out the maximum number of
dogs that could have a mass of more than 27 kg.
Answers
a) The minimum number of dogs that could have a mass of more than 27 kg is 4.
b) The maximum number of dogs that could have a mass of more than 27 kg is 17.
What are maximum and minimum values?
The largest and smallest value of the function, either within a specific range or on the entire domain, is referred to as the maximum and minimum of a function, respectively.
Here, we have
The given table shows information about the masses of some dogs.
a) Because we need the minimum number of dogs,
Let's assume all dogs in the interval 20 to 40 have a mass of more than 27kg so the minimum value of 13 and 4 is 4.
b) Because we need the maximum number of dogs,
Let's assume all dogs present in the interval 20 to 40 have a mass of more than 27kg so the maximum of the values present in the interval 20 to 40 is 13 + 4 = 15
Hence, a) The minimum number of dogs that could have a mass of more than 27 kg is 4.
b) The maximum number of dogs that could have a mass of more than 27 kg is 17.
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An expression is shown below: 3pf2 − 21p2f + 6pf − 42p2 Part A: Rewrite the expression by factoring out the greatest common factor. (4 points) Part B: Factor the entire expression completely. Show the steps of your work. (6 points)
Answers
The expression factoring out the greatest common factor is (3pf - 21p²)(f + 2).
We have the expression as
3pf² - 21p²f + 6pf - 42p²
Now, factorising the expression as
= 3pf² + 6pf - 21p²f - 42p²
= 3pf(f +2) - 21p²(f + 2)
= (3pf - 21p²)(f +2)
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Keep the radius the same but use a different height is the volume of the sphere 2/3 the volume of the cylinder now explain your answer
Answers
From geometry, we know that:
• the volume of a sphere of radius r is:
\(V_S=\frac{4}{3}\cdot\pi\cdot r^3,\)• the volume of a cylinder of radius r and heigth h is:
\(V_C=h\cdot\pi\cdot r^2.\)If the volume of the sphere (Vs) is 2/3 the volume of the cylinder (Vc), we have:
\(\begin{gathered} V_S=\frac{2}{3}\cdot V_C, \\ \frac{4}{3}\cdot\pi\cdot r^3=\frac{2}{3}\cdot h\cdot\pi\cdot r^2. \end{gathered}\)Solving for h, we find that:
\(h=2r.\)We have found that the height of the cylinder is two times its radius.
Answer
• We have a sphere and cylinder with the same radius.
,• We know that the volume of the sphere is
\(V_S=\frac{2}{3}\cdot V_C.\)• By replacing the formulas of each volume, we find that the heigh of the cylinder is:
\(h=2r.\)Refer to the information below to answer Questions 9 and 10. Value of Property Up to K35 000 K35 000 to K70 000 K70 000 to K140 000 Over K140 000 10. Rate of Stamp Duty 2% 3% 4% 5% 9. Calculate the stamp duty payable on properties whose purchase price is K45 000. (1 mark) Answer: Calculate the stamp duty payable on properties whose purchase price is K150 000. (1 mark) Answer:
Answers
9. The stamp duty payable on a property with a purchase price of K45,000 is K1,350.
10. The stamp duty payable on a property with a purchase price of K150,000 is K7,500.
To calculate the stamp duty payable on properties with a purchase price of K45,000 and K150,000, we need to apply the corresponding rates of stamp duty based on the given information.
Given:
Value of Property:
Up to K35,000: Stamp Duty Rate - 2%
K35,000 to K70,000: Stamp Duty Rate - 3%
K70,000 to K140,000: Stamp Duty Rate - 4%
Over K140,000: Stamp Duty Rate - 5%
9. Calculate the stamp duty payable on properties whose purchase price is K45,000:
Since the purchase price of K45,000 falls within the range of K35,000 to K70,000, the stamp duty rate applicable is 3%.
Stamp Duty Payable = Purchase Price * Stamp Duty Rate
= K45,000 * 3%
= K45,000 * 0.03
= K1,350
Therefore, the stamp duty payable on a property with a purchase price of K45,000 is K1,350.
10. Calculate the stamp duty payable on properties whose purchase price is K150,000:
Since the purchase price of K150,000 is above K140,000, the stamp duty rate applicable is 5%.
Stamp Duty Payable = Purchase Price * Stamp Duty Rate
= K150,000 * 5%
= K150,000 * 0.05
= K7,500
Therefore, the stamp duty payable on a property with a purchase price of K150,000 is K7,500.
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seb buys 1 gallon of paint that covers 400 square feet
Answers
The least amount of paint that is needed to paint the walls of a room with a rectangular prism shape is 1. 8 gallons.
How to find the amount of paint ?There would be two walls with 10 x 16 dimensions so the area is :
= 2 x 10 x 16
= 320 square feet
Two walls with 20 x 10 dimensions :
= 2 x 20 x 10
= 400 square feet
The total area is :
= 400 + 320
= 720 square feet
One gallon of paint can cover 400 square feet so the number of gallons needed is:
= 720 / 400
= 1. 8 gallons
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Full question is:
One gallon of paint covers 400 square feet. What is the least amount of paint needed to paint the walls of a room in the shape of a rectangular prism with a length of 20 feet, a width of 16 feet, and a height of 10 feet? Write your answer as a decimal.
3) The average age of students at XYZ University is 24 years with a standard deviation of 8 years. Number of students at the university is 7500. A random sample of 36 students is selected. What is the probability that the sample mean will be between 25.5 and 27 years
Answers
Answer:
0.1875
Step-by-step explanation:
σM=σ/√N
=8/√7500
=8/86.608
=0.092
Z=(x-μ)/σ/√N
=(25.5-36)/8/√7500
=-10.5/0.0092=-1141.304
Z score = -1.3125
=(27-36)/8/√7500 =
=9/0.0092=978.261
Z score= -1.125
-1.125-(-1.3125)=-1.125+1.3125)= 0.1875
The probability that the sample mean will be between 25.5 and 27 years
P(between 25.5 and 27) = 0.1875
4. Calculate the Social Security and Medicare tax that would be applied to an annual salary of $56,400.
Answers
Answer:759
Step-by-step explanation:
Enter a number in the box to complete the sentence. Give your answer to the nearest half-hour.
When lit, a candle loses 5% of its original height every hour. Jennifer lit a candle with an original height of 8 inches.
Answers
Answer:
Do you mean: When lit, a candle loses 5% of its original height every hour. Jennifer lit a candle with an original height of 8 inches.
Until the candle has been burning for at least _____ hours, the height of Jennifer's candle will be more than 7 inches.
If so your answer is: 2.5!
what is the product
for 2|-16.75|
Answers
Answer:
33.5
Step-by-step explanation:
You would make the -16.75 a positive because of the absolute volume, and multiply that by 2.
15 men can dig a trench og 90m in 3 hours. how long will it take 16 men to dig a trench of 48m long?
Answers
Answer:
1.5 hours
Step-by-step explanation:
Answer:
1.5 hours
Step-by-step explanation:
15 men can dig a trench 90 feet deep in 3 hours. So, first, we have to divide 90 by 3 to find the depth that 15 men can dig in 1 hour.
90/3 = 30
Next, we need to divide 30 by 15 to find how deep 1 man can dig in 1 hour.
30/15=2.
Now, since there are 16 men in this second project, we need to multiply 16 by 2 to find how much 16 men can dig in 1 hour.
16x2 = 32.
Finally, we have to add 16 to get 48.
Since we added the depth for 1 hour plus the depth for half an hour to get the total depth, we can say that 16 men can dig 48m in 1.5 hours.
Need to find the equation for the line with the given properties. Express your answer using either the general form or the slope-intercept form of the equation of a line. Slope=1/3, containing the point (-3,3)
Answers
To answer this question we will use the following slope-point formula for the equation of a line:
\(y-y_1=m(x-x_1)\text{.}\)Therefore, the equation of the line that has a slope of 1/3 and passes through the point (-3,3) is:
\(y-3=\frac{1}{3}(x-(-3))\text{.}\)Simplifying the above equation we get:
\(\begin{gathered} y-3=\frac{1}{3}(x+3), \\ y-3=\frac{1}{3}x+1. \end{gathered}\)Adding 3 to the above equation we get:
\(\begin{gathered} y-3+3=\frac{1}{3}x+1+3, \\ y=\frac{1}{3}x+4. \end{gathered}\)Answer:
\(y=\frac{1}{3}x+4.\)List all the subsets of the given set.
{e, n, t}
Answers
The subsets of the set {e, n, t} are given as follows:
{{}, {e}, {n}, {t}, {e,n}, {e,t}, {n,t}, {e,n,t}}.
How to obtain the number of subsets in a set?Considering a set with n elements, the number of subsets in the set is the nth power of 2, that is:
\(2^n\)
The set for this problem is given as follows:
{e, n, t}
The cardinality is given as follows:
n = 3.
Hence the number of subsets is given as follows:
2³ = 8.
The subsets are given as follows:
{{}, {e}, {n}, {t}, {e,n}, {e,t}, {n,t}, {e,n,t}}.
In which {} is the empty set.
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Find the two values that & can have if
22 - 12=37
Answers
Find the standard deviation (rounded to the nearest unit) for the data indicated. Test Score Frequency 2 90 80 5 70 8 60 6 50 4 40 1 30 2 0 5
Answers
The test results' standard deviation is around 33. Standard deviation is a measure of the spread or dispersion of a set of data. It measures how much the individual data points deviate from the mean of the data.
To find the standard deviation of this data, we first need to calculate the sample mean and variance:
Sample mean, = (290 + 805 + 708 + 606 + 504 + 401 + 302 + 05) / 31 = 56.45
Sample variance, \(s^2 = [(2-56.45)^290 + (80-56.45)^25 + (70-56.45)^28 + (60-56.45)^26 + (50-56.45)^24 + (40-56.45)^21 + (30-56.45)^22 + (0-56.45)^25] / (31-1) = 1080.56\)
To find the standard deviation, we take the square root of the variance:
Standard deviation, \(s = sqrt(s^2) = sqrt(1080.56) = 32.90\\\)
Rounding to the nearest unit, the standard deviation is approximately 33.
Therefore, the standard deviation of the test scores is approximately 33.
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e
B
0
14. The table shows the number of inches of
rain over five months. What would be an
appropriate display of the data? Explain.
(Lesson 2)
Month
Number
of Inches
of Rain
Jan. Feb. Mar.
1.5
2.2
3.6
Apr.
5.3
May
4.8
Answers
The graph of the given function is attached.
Given is a function for the rainfall in 5 months in inches.
We need to display the data,
So, as we can see that the data is not showing any proportion or pattern,
So, it can be displayed as a line chart.
Hence the chart is attached for the function.
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1) A student has a Math placement of Math 111, Math 100 and Math 102+. What course should the student first start with according to their placement results to then continue to get to Math 103E?
Answers
The placement results provided, the student should start with Math 100.
The placement results indicate that the student has placements for Math 111, Math 100, and Math 102+. Math 111 typically corresponds to a higher-level course than Math 100, and Math 102+ implies a placement beyond Math 102.
To progress towards Math 103E, it is essential to follow the recommended course sequence. Usually, Math courses are designed to build upon previously learned concepts and skills. Starting with Math 100 would provide the foundational knowledge necessary to succeed in subsequent courses.
Therefore, the student should first start with Math 100, and upon successful completion, they can proceed to Math 103E. It is important for the student to consult with their academic advisor or the mathematics department at their institution for specific course placement and sequencing information to ensure they are following the appropriate path.
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1) What is the square root of 81
Answers
(6x+9)/2=?
please help
Answers
The value of x in the expression given is -7/6
Solving the given equation(6x + 9)/2 =
First step is to cross multiply
6x + 9 = 2
Collect like terms
6x = 2 - 9
6x = -7
divide both sides by 6 to isolate x
x = -7/6
Therefore the value of x in the expression given is -7/6
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this week mr wooten spent $30 for hot dogs and supplies. he earned $18. did he make money or did he loose money this week
Answers
Answer:
lost 12
Step-by-step explanation:
2. Ashton is x years old. Bentley is 2 years older than Ashton. Three times Bentley’s age is equal to 18. The purpose of this exercise is to check your understanding on setting up equations and showing the steps to solving a simple equation. (c) Use the information above to set up another equation or expression and solve to show old Bentley is.
thank you!
Answers
Answer:
the awnser is that Bently is 6 And Ashton is 4
Step-by-step explanation:
the reason I get this awnser is because it says that bently is 2 years older than Ashton and 3 times so you think what can be times 3 so the first awnser i got was 6 because 6 times 3 equals 18 so then I subtracted 2 from that to create the number of 6 for Bentley and 4 for Ashton
BRAINLIEST PLEASEYou have $500,000 saved for retirement. Your account earns 7% interest. How much will you be able to pull out each month, if you want to be able to take withdrawals for 25 years?
Answers
$3,244.21 can be withdrawn each month for 25 years, assuming an interest rate of 7% and a starting principal of $500,000.
Formula to calculate the present value of the annuityPV = PMT × [1 - (1 + r)⁻ⁿ] / r
where:
PV is the present value of the annuity
PMT is the payment amount per period
r is the interest rate per period
n is the total number of periods
In this case, we want to withdraw a fixed amount each month for 25 years, which represents 12 ×25 = 300 periods.
The interest rate per period is 7% / 12 = 0.5833%.
Let's assume that you want to withdraw a fixed amount each month, and you want the withdrawals to last for 25 years. To calculate the amount you can withdraw each month,
PV = PMT × [1 - (1 + r)⁻ⁿ] / r
500,000 = PMT × [1 - (1 + 0.005833)⁻³⁰⁰] / 0.005833
Solving for PMT, we get:
PMT = PV × r / [1 - (1 + r)⁻ⁿ]
PMT = 500,000 × 0.005833 / [1 - (1 + 0.005833)⁻³⁰⁰]
PMT = $3,244.21
Therefore, you can withdraw $3,244.21 each month for 25 years, assuming an interest rate of 7% and a starting principal of $500,000.
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what is the midpoint between a(2,-2) and B (-3, 2)
Answers
Answer:
Midpoint (xM, yM) = (4, 5)
Hope it helps if it does pls give me brainly :)
For the question of total area of the cuboid is 200cm^.
I understand where we divide 150 by 4.
But why do I need to multiply by 5, when there are 6 faces.
Answers
You need to multiply by 5 instead of 6 because each pair of opposite faces on a cuboid has the same area, so by considering one face from each pair, you ensure that you don't count any face twice.
When calculating the total surface area of a cuboid, you need to understand the concept of face pairs.
A cuboid has six faces, but each face has a pair that is identical in size and shape.
Let's break down the reasoning behind multiplying by 5 instead of 6 in the given scenario.
To find the surface area of a cuboid, you can add up the areas of all its faces.
However, each pair of opposite faces has the same area, so you avoid double-counting by only considering one face from each pair. In this case, you have five pairs of faces:
(1) top and bottom, (2) front and back, (3) left and right, (4) left and back, and (5) right and front.
By multiplying the average area of a pair of faces by 5, you account for all the distinct face pairs.
Essentially, you are considering one face from each pair and then summing their areas.
Since all the pairs have the same area, multiplying the average area by 5 gives you the total surface area.
When dividing 150 by 4 (to find the average area of a pair of faces), you are essentially finding the area of a single face.
Then, by multiplying this average area by 5, you ensure that you account for all five pairs of faces, providing the total surface area of the cuboid.
Thus, multiplying by 5 is necessary to correctly calculate the total surface area of the cuboid by accounting for the face pairs while avoiding double-counting.
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What integer represents the situation ""6 yards behind the winner""?
Answers
Answer:
-6
Step-by-step explanation:
An integer is a whole number that can either be positive, negative or zero.
Now, we want to write the integer that represents 6 yards behind the winner.
Now, a distance of 6 yards behind the winner means a deficit distance of 6 yards behind the winner. Which in turn means a negative distance which is -6 yards behind the winner.
Thus, the integer is -6
Sandy bought a 32.5 ounce package of mixed nuts for $7.I5. What was the coat per ounce.
Answers
22 cents
Jesse and Amir were assigned the same book to read. Jesse started reading on Saturday, and he is reading 30 pages a day. Amir didn't start until Sunday, but he is reading 35 pages a day.
How many days will it take Amir to catch up to Jesse, and how many pages will they each have read?
Answer the questions to solve this problem using a system of equations.
1. Write an equation to represent the number of pages Amir has read. Use x to represent the number of days Amir has been reading and y to represent the number of pages he has read. (1 point)
2. Write an equation to represent the number of pages Jesse has read.
Using x, the number of days Amir has been reading, write an expression to represent the number of days Jesse has been reading. Remember that Jesse started reading one day before Amir. Use this expression to write an equation for the number of pages Jesse has read. Let y represent the number of pages read. (1 point)
3. Write the system of equations using your answers from questions 1 and 2.
(2 points)
5. Solve the system of equations. Show your work. (2 points)
6. Interpret your solution. How many days does it take Amir to catch Jesse? At that time, how many pages have they read? (2 points)
Answers
1. An equation representing the number of days Amir has been reading and the number of pages he has read is y = 35x.
2. An equation representing the number of days Jesse has been reading and the number of pages she has read is y = 30 + 30x.
3. The system of equations from 1 and 2 is y = 35x and y = 30 + 30x.
4. At the end of Friday, after solving the equations, both Jesse and Amir read 210 pages each, with Jesse spending 7 days and Amir 6 days.
5. For Jesse and Amir, the equation solutions are y is 210 pages and x is 6 days.
6. After solving the equations, it will take Amir 6 days to catch up with Jesse and each person must have read 210 pages or a total of 420 pages.
What is a system of equations?A system of equations involves using more than one equation solved simultaneously.
Jesse's reading rate per day = 30 pages
Amir's reading rate per day = 35 pages
The number of pages read by Jesse, y = 30 + 30x
The number of pages read by Amir, y = 35x
Where x = the number of days they have been reading
Solving the equations:y = 30 + 30x and y = 35x
35x = 30 + 30x
35x - 30x = 30
5x = 30
x = 6 (30/5)
Jesse:y = 30 + 30x
y = 30 + 30(6)
y = 210
Amir:y = 35x
y = 35(6)
y = 210
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PLEASE ANSWER - PLEASE ANSWER
The diagram shows triangle ABC. ABC and BED are straight lines. AB = 12.2cm, CD = 5.8cm, BE:ED = 3:1, Angle ADB = 90°, Angle ABD = 38°.
Work out the size of angle DCE, correct to 1 decimal place. SHOW ALL WORKING IN TEXT FORM, NO IMAGES.
Answers
The measure of angle DCE in this problem is given as follows:
m < DCE = 22.5º.
How to obtain the measure of angle DCE?The triangles in this problem are right triangles, meaning that the trigonometric ratios are used to find the measures.
The three trigonometric ratios are given as follows:
Sine of angle = length of opposite side divided by the length of the hypotenuse.Cosine of angle = length of adjacent side divided by the length of the hypotenuse.Tangent of angle = length of opposite side divided by the length of the opposite side.The segment DB is adjacent to angle of 38º, while the hypotenuse is of 12.2 cm, hence the length of segment DB is calculated as follows:
cos(38º) = DB/12.2
DB = 12.2 x cosine of 38 degrees
DB = 9.6 cm.
BE:ED = 3:1, means that segment DE is one-fourth of segment DB, and thus it's length is given as follows:
DE = 1/4 x 9.6
DE = 2.4 cm.
Then for the angle DCE, we have that the opposite side is of 2.4 cm while the adjacent side is of 5.8 cm, hence the tangent is used to find it's measure, as follows:
tan(x) = 2.4/5.8
x = arctan(2.4/5.8)
x = 22.5º
m < DCE = 22.5º.
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Answer:
x = 22.5°
Step-by-step explanation:
BD = cos(38)*12.2 = 9.61DE = 9.61*¼ = 2.4∠DCE = tan(2.4/5.8) = 22.5°Roberto made a line plot to show the weight in pounds of the bags of granola in his store he concluded that the total weight of the granola was 2/1/2+2/3/4+3=8/1/4 pounds
Answers
The correct total weight of the bags of granola is 8 1/4 pounds.
One thing that can be done to improve Roberto's reasoning is to ensure the accuracy of the calculations.
In his conclusion, Roberto added the weights of the bags of granola (2 1/2, 2 3/4, and 3) and claimed that the total weight was 8 1/4 pounds. However, the sum of these weights does not equal 8 1/4 pounds.
To address this, Roberto should recheck his calculations. Adding mixed numbers involves adding the whole numbers separately and then adding the fractions separately. In this case, 2 1/2 + 2 3/4 + 3 can be calculated as follows:
2 + 2 + 3 = 7 (sum of whole numbers)
1/2 + 3/4 = 2/4 + 3/4 = 5/4 = 1 1/4 (sum of fractions)
Thus, the correct sum is 7 + 1 1/4 = 8 1/4 pounds.
By double-checking the calculations and providing the accurate sum, Roberto's reasoning would be more precise, reliable, and free from errors.
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The probable question may be:
Roberto made a line plot to show the weight in pounds of the bags of granola in his store he concluded that the total weight of the granola was 2 1/2+2 3/4+3=8 1/4 pounds.
what is one thing that you could do to Roberto's Reasoning
ہے
8. A randomized controlled trial was designed to compare the effectiveness of splinting versus
surgery in the treatment of carpal tunnel syndrome. Results are given in the table. The results
are based on evaluations made one year after the treatment. Using a 0.01 significance level,
find the test statistic and critical value needed to test the claim that the success is independent
of the type of treatment.
Splint treatment
Surgery treatment
Successful
Treatment
60
67
Otest statistic = 0.848, critical value = 6.635
statistic 9 750 critical value = 6.635
Unsuccessful
Treatment
23
6
Answers
The test statistic and critical value needed to test the claim that the success is independent of the type of treatment are 9.750 and critical value is 6.635.
How to calculate the valueThe expected value for each cell is calculated as follows:
E = row total * column total / grand total
The grand total is 150.
The row totals are 83 and 67.
The column totals are 86 and 64.
The expected values are as follows:
Successful: 60 * 86 / 150 = 36.4
Unsuccessful: 60 * 64 / 150 = 29.6
Surgery treatment
Successful: 67 * 86 / 150 = 49.6
Unsuccessful: 67 * 64 / 150 = 27.4
The test statistic is calculated as 9.750
The critical value is calculated as follows:
α = 0.01
df = (r-1)(c-1) = (2-1)(2-1) = 1
x²(α, df) = 6.635
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piece of material measures 38 inches Courtney cuts the piece of material into two pieces one piece measures 19 inches write an addition equation that could be used to find the length of the other piece of material
Answers
An addition equation that could be used to find the length of the other piece of material is,
38 = 19 + x.
What is addition?Combining objects and counting them as one big group is done through addition. In arithmetic, addition is the process of adding two or more integers together. Addends are the numbers that are added, and the sum refers to the outcome of the operation.
Given:
A piece of material measures 38 inches.
Courtney cuts the piece of material into two pieces.
One piece measures 19 inches.
Let x be the length of other pieces.
An addition equation that could be used to find the length of the other piece of material is,
38 = 19 + x
Therefore, 19 + x = 38 is an addition equation.
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