Draw a tape diagram to represent the problem.
In Mr. Dutton's class there are 4 boy for every 5 girl ?
Use the tape diagram above to answer the question.
If there are 16 males, how many females are in Mr. Dutton's class?
If there are 18 student in Mr. Sutton's class, how many boy are there? How many girl are there?
Answer:
uhijhkhyhbjgyvhfthvhtfm
Step-by-step explanation:
yglughujgyjyuhjvgyjhbygjhgjjyjgjjhbjgbjhjhbj
Hannah works out 52 ÷ 10 and 4.6 × 100. She checks her answers by working backwards. Work out the answers to these questions. Check your answers by working backwards.
a 3.7 × 10
b 0.42 × 1000
c 6.7 ÷ 10
d 460 ÷ 100
Answer:
I don't know this answer.
do u have instagaram???
What is the present value of R13 000 p.a. invested at the beginning of each year for 8years at 10%p.a. compound interest? (NB Use the compound interest tables provided or work to three decimal places only.)
Given statement solution is :- The present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.
To calculate the present value of an investment with compound interest, we can use the formula for the present value of an annuity:
PV = A *\((1 - (1 + r)^(-n)) / r\)
Where:
PV = Present value
A = Annual payment or cash flow
r = Interest rate per period
n = Number of periods
In this case, the annual payment (A) is R13,000, the interest rate (r) is 10% per year, and the investment is made for 8 years (n).
Using the formula and substituting the given values, we can calculate the present value:
PV = \(13000 * (1 - (1 + 0.10)^(-8)) / 0.10\)
Calculating this expression:
PV = \(13000 * (1 - 1.10^(-8)) / 0.10\)
= 13000 * (1 - 0.46318) / 0.10
= 13000 * 0.53682 / 0.10
= 6977.66 / 0.10
= 69776.6
Therefore, the present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.
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Are these shapes similar?
True
False
Answer:true
Step-by-step explanation:because yes
Which of these is an example of being "underwater" on a car?
A. Owing $4400 on a car that's worth $4800
B. Owing $8600 on a car that's worth $8200
C. Owing $7200 on a car that's worth $7500
D. Owing $5700 on a car that's worth $6600
The required, example of being "underwater" on a car is option B, owing $8600 on a car that's worth $8200.
What is inductive reasoning?Inductive reasoning is defined as, tempting judgments by moving from the details to the fact. It's usually determined with inferential reasoning, where you move from known information to precise conclusions.
Here,
Being "underwater" on a car means owning more on a car than it is currently worth.
Based on the given options, the example of being "underwater" on a car is option B, owing $8600 on a car that's worth $8200.
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Please help, I need to do this assignment now!
A given data set has a symmetrical shape.
Which statement is true about the data set?
(There are no attachments to this question.)
Answer: The mean is equal to the median.
Step-by-step explanation:
Median is the middle value of a given data set. In asymmetric distribution, the data on the left side of the median is equal to the data on the right side of the median. Therefore, the mean of that data is equal to the median of the symmetric distribution.
HP Printing shipped 30 boxes of printer paper to a retail store. Small boxes contain six packs of paper each, and large boxes contain eight packs. A total of 210 packs of paper were shipped. How many large boxes were sent?
Answer:
15
Step-by-step explanation:
Let the small boxes = x
Let the large boxes = y
x + y = 30
6x + 8y = 210
6(30 - y) + 8y = 210
180 - 6y + 8y = 210
180 + 2y = 210
2y = 210 - 180
2y = 30
y = 15
x = 30 - 15
x = 15
Answer:
15
Step-by-step explanation:
Call the number of small boxes and the number of large boxes . We can use the following system of equations to represent the information given: Multiplying the first equation by 6 and subtracting the result from the second equation yields Solving for gives , or . Thus, large boxes were sent.
the median wait time for angioplasty is greater than the median wait time for bypass surgery but the mean wait time is shorter for angioplasty than for bypass surgery. what does this suggest about the distribution of wait times for these two procedures? both means are ---select--- their respective medians, suggesting that both distributions are ---select--- . the fact that the median is greater for angioplasty and the mean is greater for bypass surgery tells us that the median-to-mean increase is ---select--- in the case of bypass surgery, suggesting that the ---select--- is ---select--- pronounced for bypass surgery than for angioplasty.
Based on the given information, we can make the following conclusions: Both means are shorter than their respective medians. The median-to-mean increase is greater in the case of bypass surgery
What is median?In statistics, the median is a measure of central tendency that represents the middle value of a dataset when the data is arranged in ascending or descending order. It is the value that separates the lower 50% of the data from the upper 50% of the data. To find the median of a dataset, the data is first arranged in order. If the number of data points is odd, the median is the middle value. If the number of data points is even, the median is the average of the two middle values. The median is a useful measure of central tendency because it is less sensitive to outliers than the mean, which makes it a better indicator of the typical or central value of a dataset when the data is skewed or contains extreme values.
Here,
1. Both means are shorter than their respective medians, suggesting that both distributions are skewed to the right. This means that there are some patients who wait for a very long time, causing the right tail of the distribution to be longer.
2. The fact that the median is greater for angioplasty and the mean is greater for bypass surgery tells us that the median-to-mean increase is greater in the case of bypass surgery, suggesting that the skewness is more pronounced for bypass surgery than for angioplasty. This means that there are relatively more patients who wait for a very long time for bypass surgery compared to angioplasty, which is reflected in the longer right tail of the distribution for bypass surgery.
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If the graph is reflected over the x-axis, what is the
domain of the function?
Answer:
When the function is to be reflected over the x and y-axis, we write it as a reflection of a function over x = y, so it is divided into two parts or two cases y = x and y = − x. When the graph of function is reflected over y = x, then we will swap the coordinates of the x and y-axis with each other while their signs remain the same.
Step-by-step explanation:
What is the average rate of change of the function y = 3 cos x on the interval [π/2, π]?
Answer:
¹
Step-by-step explanation:
Average Rate of Change is
ts
\( \frac{f(b) - f(a)}{b - a} \)
Here b is pi, a is pi/2,
\( \cos(\pi) = - 1\)
\( \cos( \frac{\pi}{2} ) = 0\)
So we have
\( \frac{ - 1 - 0}{ \frac{\pi}{2} } = \frac{ - 1}{ \frac{\pi}{2} } \)
Answer:
-2/pi
Step-by-step explanation:
When evaluting an expression, is it easier to combine terms first or substitute values first? PLSSSS ANSWERRR ILL GIVE BRAINLIEST
Answer:
What do you mean by combining terms?
If you have an equation like y=3(2+x), then you would need to substitute for x before you combined the terms "2" and "x"
The sum of two numbers is −45. One number is 9 more than the other. Find the numbers
Answer:
-18 and -27 ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ
7.All angles are right angles. Solve for x in the given Rectangle. 5 in x = x. 12 in
8. it says AC not AS
The length of the diagonal of the rectangle is AC = 17.69 units
What is the diagonal of a rectangle?The diagonal of a rectangle is calculated by the formula
From the Pythagoras Theorem , The hypotenuse² = base² + height² , and
Diagonal of a Rectangle = √ ( Length )² + ( Width )²
Given data ,
Let the rectangle be represented as ABCD
Now , the measure of side AB = 12 units
The measure of side BC = 13 units
Let the length be BC and the width be AB
where the diagonal of the rectangle is AC
Now , Diagonal of a Rectangle = √ ( Length )² + ( Width )²
On simplifying , we get
The diagonal of the rectangle AC = √ ( 12 )² + ( 13 )²
The diagonal of the rectangle AC = √ ( 144 + 169 )
The diagonal of the rectangle AC = √313
The diagonal of the rectangle AC = 17.69 units
Hence , the diagonal of the rectangle is 17.69 units
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Find the value of x that will make A||B.
А
B
4x
2x
x = [?]
Answer:
x = 30Step-by-step explanation:
4x + 2x = 180
6x = 180
x = 30
A cylindrical pottery vase has a diameter of 4.3 inches and a height of 11 inches. What is the surface area of the vase? Use the formula SA = B + Ph, since the vase has a bottom but no top. Use 3.14 for π
and round to the nearest tenth of a square inch.
The surface area of the cylindrical pottery vase is 177.55 in².
Given that a cylindrical pottery vase has a diameter of 4.3 inches and a height of 11 inches, we need to find the surface area of the vase,
SA of a cylinder = 2π×radius(h+r)
= 2×3.14×2.15(2.15+11)
= 177.55 in²
Hence, the surface area of the cylindrical pottery vase is 177.55 in².
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in a recent poll of 1,000 homeowners in the united states, one in eight homeowners reports having a home equity loan that he or she is currently paying off. using a confidence coefficient of 0.99, construct the confidence interval for the proportion of all homeowners in the united states that hold a home equity loan.
Use Table 1. (Round intermediate calculations to 4 decimal places. Round "z-value" and final answers to 3 decimal places.)
Confidence interval to
For the proportion of all hometowners in the united states that hold a home equity loan, confidence interval is (0.0992, 0.1508).
We have given that in a recent poll of 1000 homeowners in the United states, one in eight homeowners reports havinf a home equity loan that he or she is curently paying off.
If one in eight reports having a home equity loan then for 1000 hometowners = 1000/8 = 125.
Sample proportion p = 125/1000 = 0.125
given that confidence coefficient = 0.99
α = 1 - confidence coefficient = 1 - 0.99
α = 0.01
z₀.₀₁ / 2 = 2.58
Therefore the interval estimate for the proportion of all homeowners in the United states that hold a home equity
= p ± z₀.₀₁/2 √p(1-p)/n
= 0.125 ± 2.58 √0.125(0.875)/1000
= 0.125 ± 2.58 √0.0001
= 0.125 ± 0.0258
= (0.125 - 0.0258,0.125 + 0.0258)
= (0.0992, 0.1508)
Hence (0.0992, 0.1508) is the confidence interval.
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(2x+5)(6x−1)=120
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Answer: x = 115/2 and 119/6
You can simplify the answer.
Step-by-step explanation:
(2x + 5)(6x -1)= 120
120 = (2x +5) and (6x -1) = 120
120 - 5 = 2x and 6x = 120 - 1
115 = 2x and 6x = 119
115/2 = x and x = 119/6
Answer:
=>(2x+5)(6x-1)=120
=>2x(6x-1)+5(6x-1)
=>12x>2-2x+30x-5=120
=>12x>2+28x-5-120=0
=>12x>2+28x-125=0
Step-by-step explanation:
please make me brailliest
Write an equation and solve for the 2 numbers
Answer:
x = y + 5
Step-by-step explanation:
The difference is 5, while x is the bigger number and y the smaller number. So you have to add 5 to y to get x.
What would the next figure in the geometric pattern below be?
Answer:
C.
Step-by-step explanation:
X-4=12 what does x equal
Answer:
x = 16
Step-by-step explanation:
So we do the fancy inverse thing:
x - 4 + 4 = 12 + 4
x = 16
Use the substitution method to show that each of the following recurrences defined on the reals has the asymptotic solution specified: a.T(n)=T(n−1)+nhas solutionT(n)=O(n 2 ). b.T(n)=T(n/2)+Θ(1)has solutionT(n)=O(lgn). c.T(n)=2T(n/2)+nhas solutionT(n)=Θ(nlgn). d.T(n)=2T(n/2+17)+nhas solutionT(n)=O(nlgn). e.T(n)=2T(n/3)+Θ(n)has solutionT(n)=Θ(n)f.T(n)=4T(n/2)+Θ(n)has solutionT(n)=Θ(n 2)
By the substitution method, it can be shown that T(n) = O(logn).
a.T(n)=T(n−1)+n
We will use the substitution method to show that T(n)=O(n2). We first note that T(1) =1, and then consider the inductive hypothesis that \(T(k) =O(k2) for all k ≤ n\). This means that there exists a positive constant c for all k ≤ n.
Now, we consider T(n). We can substitute T(n-1) for k=n-1 in the inductive hypothesis to get T(n-1)≤ c(n-1)2. Adding n to both sides, we get \(T(n) ≤ c(n-1)2 +n = cn2-2cn+1+n = cn2+ (1-2c)n +1\). Since c is a constant and n > 0, we can choose c such that 1-2c > 0, and therefore T(n) ≤cn2.
Therefore, T(n) =O(n2).
\(b.T(n)=T(n/2)+Θ(1)\)
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Does anyone know the answer?
SOMEONE PLEASE ANSWER. I'M CRYING AND DONT KNOW WHAT TO DO! I NEED YOUR HELP PLEASE!
A cafeteria serves lemonade that is made from a powdered drink mix. There is a proportional relationship between the number of scoops of powdered drink mix and the amount of water needed to make it. For every 2 scoops of mix, one half gallon of water is needed, and for every 5 scoops of mix, one and one fourth gallons of water are needed. Part A: Find the constant of proportionality. Show every step of your work. Part B: Write an equation that represents the relationship. Show every step of your work. Part C: Describe how you would graph the relationship. Use complete sentences. Part D: How many gallons of water are needed for 12 scoops of drink mix?
Below, you'll find a list of all the answers to the questions which are solved by using proportional relationship.
What is the fundamental formula for a straight line?The general equation for a straight line is y=mx + c, where m represents the line's slope and expresses the rate of change of y per unit time with respect to x.
The point where the graph crosses the y-axis is called the y-intercept, or c.
Direct proportionality is also represented by y = mx. We can express m as follows: m = y/x
OR
y₁/x₁ = y₂/x₂
In our cafeteria, lemonade is made using a powdered drink mix. The quantity of water required to manufacture a certain amount of powdered drink mix is proportional to the number of scoops required. For every 2 scoops of mix, 1/2 gallon of water is required, and for every 5 scoops,
1 1/4 gallons of water are required.
The proportional formula is written as y = k x.
Using the information provided, we can now write: 2 scoops require 0.5 gallon of water.
1.25 gallon of water is required for 6 scoops.
This means that k = 2/0.5
k = 2/(1/2)
k = 2 x 2
k= 4
Equations describing the relationship can be expressed as y = 4x + c.
0.5 gallon of water is now required for 2 scoops.
2=4(1/2)+c
2=2+c
c=0
Therefore, the formula will be y = 4x.
The end includes a graph for y = 4x.
12 scoops of water:
12=4x
x=3 gallons of water is needed.
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11) m/EFG=132°, m/CFG=x+111,
and m/EFC=x+23. Find mLEFC.
Applying the angle addition postulate, the value of x in the image given is calculated as: 49.
What is the Angle Addition Postulate?The Angle Addition Postulate states that for any angle, the sum of its adjacent angles is equal to the angle formed by combining them.
Therefore, we have:
x + 11 + x + 23 = 132
Combine like terms to find the value of x:
2x + 34 = 132
2x = 132 - 34
2x = 98
2x/2 = 98/2
x = 49
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Groks mother weighed
Answer:
62 Kg
Step-by-step explanation:
Let g = weight of Grok last year in kg
m = weight of Grok's mother last year in kg
m = 3g
m-4 = 2(g+9)
since m = 3g
(3g)-4 = 2(g+9)
3g -4 = 2g + 18
3g-2g = 18+4
g = 22
m = 3*22
= 66
Note that:
g+9 = weight of Grok now
m-4 = weight of Grok's mother now
Grok weighs 31 Kg now
Grok's mother weighs 62 Kg now
Mark is buying different nuts to make a mixed nut platter to serve at a party. He buys 1.2 kilograms of peanuts, 300 grams of almonds and 40 dekagrams of cashews. What is the total weight in grams of the nuts he purchased? Enter only the number. Do not include unit
Answer:
1900
Step-by-step explanation:
1 kg = 1000g
1.2kg = x
1 kgx = 1200 kg.g
1kg. 1kg
x = 1200 g
1 decagram = 10g
40 decagram = x
1 dg.x = 400 dg.g
1 dg. 1 dg
x = 400g
so the total= 1200g +300 + 400g=1900g
without the unit = 1900
As part of their employee benefits , all workers at Middletown Electronics receive a pension that is calculated by multiplying the number of years worked times 1.56% of the average of their three highest years’ salary. Maureen has worked for Middletown for 30 years and is retiring. Her highest salaries are $107,000, $107,800, and $108,198. Calculate Maureen’s pension.
Maureen's pension would be $50,035.20.
What is Percentage?
To compute a percentage, divide the value by the entire amount and multiply the result by 100. A percentage is a quantity or ratio that is stated as a fraction of one hundred. The percent sign, "%," is frequently used to represent it.
First, we need to calculate the average of Maureen's three highest salaries:
Average = (107,000 + 107,800 + 108,198) / 3
Average = 322,998 / 3
Average = 107,666
Next, we need to calculate 1.56% of this average:
Percentage = 1.56% * 107,666
Percentage = 1,667.84
Finally, we multiply this percentage by the number of years worked to find the pension:
Pension = 30 * 1,667.84
Pension = 50,035.20
So, Maureen's pension would be $50,035.20.
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It is desired to check the calibration of a scale by weighing a standard 10-gram weight 100 times. Let μ be the population mean reading on the scale, so that the scale is in calibration if μ = 10 and out of calibration if μ ≠ 10. A test is made of the hypotheses H0 : μ = 10 versus H1 : μ ≠ 10. Which of the three conclusions is best if H0 is rejected?
Complete question :
It is desired to check the calibration of a scale by weighing a standard 10 g weight 100 times. Let µ be the population mean reading on the scale, so that the scale is in calibration if µ = 10. A test is made of the hypotheses H0:µ = 10 versus H1:µ ≠ 10. Consider three possible conclusions: (i) The scale is in calibration, (ii) The scale is out of calibration, (iii) The scale might be in calibration.
Which of the three conclusions is best ifH0 is rejected?
Answer:
The scale is out of calibration
Step-by-step explanation:
The null hypothesis ; H0
H0 : μ = 10 ; if this hold true, then the scale is in calibration
Alternative hypothesis ; H1
H1 : μ ≠ 10 ; if this holds true, then the scale is out of calibration
If the Null hypothesis, H0 is rejected, it means that, there is significant evidence to support the alternative hypothesis ; that the scale is out of calibration.
Hence, the best conclusion is that, the scale is out of calibration.
Ms. Thomspon needs 15/2 yards of red fabric and 7 1/2 yards of silver fabric. which comparison is true.
Step-by-step explanation:
To compare the two amounts of fabric, we need to express them with a common denominator:
15/2 = 30/4
7 1/2 = 15/2
Now we can compare the two amounts:
30/4 > 15/2
This is true because 30/4 is equal to 7.5 yards, which is greater than 7.5 yards (or 15/2 yards) of silver fabric.
Therefore, Ms. Thompson needs more red fabric than silver fabric.
In the triangle, find x, y, u, v
Answer:
x = 9y = 12u = 24v = 32Step-by-step explanation:
Each of the triangles is similar, so we have ...
3/5 = (3+x)/20
x = 20(3/5) -3
x = 9
__
4/5 = (4+y)/20
y = 20(4/5) -4
y = 12
__
3/5 = (3 + x + u)/60
u = 60(3/5) -3 -9
u = 24
__
4/5 = (4 +y +v)/60
v = 60(4/5) -4 -12
v = 32