A set of data may have more than one mode.
(1 Point)
True
False
T/F. It is often not feasible to study the entire population because it is impossible to observe all the items in the population.
It is often not feasible to study the entire population because it is impossible to observe all the items in the population. TRUE
Analyze the linear inequalities and determine if the solution set is the shaded region above or below the boundary
line.
Warm-Up
y> -1.4x +7
y> 3x-2
y <19-5x
y>-x-42
y < 3x
y<-3.5x+2.8
Solution Set Shaded Above
Solution Set Shaded Below
Answer:
The graph in the attached figure
we have
----> inequality A
The solution of the inequality A is the shaded area below the dashed line
The slope of the dashed line A is positive m=2
The y-intercept of the dashed line A is (0,-5)
The x-intercept of the dashed line A is (2.5,0)
----> inequality B
The solution of the inequality B is the shaded area above the dashed line
The slope of the dashed line B is negative m=-3
The y-intercept of the dashed line B is (0,1)
The x-intercept of the dashed line B is (1/3,0)
The solution of the system of inequalities is the shaded area between the two dashed lines
using a graphing tool
The graph in the attached figure
GIVE ME BRAINLIEST IF IM CORRECT :)
Solve for
y in terms of x. (Isolate y)
x-y=6
I need help with this
The two lines represented by the equations below are graphed on a coordinate plane. Which statement best describes
the two lines?
2x + y = 12
y-2 = 3(x - 2)
1) parallel
2) perpendicular
3) the same line
4) neither parallel nor perpendicular
Answer:
4
Step-by-step explanation:
2x+y=12
y=-2x+12
y-2=3(x-2)
If it’s parallel to each other: the slope has to be the same.
If is perpendicular to each other: the slope should be the reciprocal to each other.
The first equation has a slope of -2
The second has a slope of 3
Neither the condition meet. So the answer is 4
For triangle ABC use the Triangle Proportionality Theorem to solve for x
1. what is the value of x?
2. What is the perimeter of triangle ABC?
show ALL work-- PLEASE HELP!
\({ \qquad\qquad\huge\underline{{\sf Answer}}} \)
Here's the solution ~
The two triangles in the shown figure are similar, therefore conclusion can be made that :
Ratio of its it's corresponding sides is equal.
\(\qquad \sf \dashrightarrow \: \dfrac{2x - 4 + 6}{6} = \dfrac{24}{4} \)
\(\qquad \sf \dashrightarrow \: \dfrac{2x + 2}{6} = 6\)
\(\qquad \sf \dashrightarrow \: 2x + 2 = 6 \times 6\)
\(\qquad \sf \dashrightarrow \: 2x + 2 = 36\)
\(\qquad \sf \dashrightarrow \: 2x = 36 - 2\)
\(\qquad \sf \dashrightarrow \: 2x = 34\)
\(\qquad \sf \dashrightarrow \: x = 17\)
Therefore, The value of x is " 17 "
Now, the measure of side BC is :
\(\qquad \sf \dashrightarrow \: 2x - 4\)
\(\qquad \sf \dashrightarrow \:2 (17) - 4\)
\(\qquad \sf \dashrightarrow \: 34 - 4\)
\(\qquad \sf \dashrightarrow \: 30 \: \: units\)
So, its perimeter will be :
\(\qquad \sf \dashrightarrow \: p = AB + AB + BC \)
\(\qquad \sf \dashrightarrow \: p = 24 + 26 + 30\)
\(\qquad \sf \dashrightarrow \: p = 80 \: \: units\)
Answer:
1) x = 17,2) P = 86 units.------------------------------------
Part 1According to Triangle Proportionality Theorem we have the following equal proportions:
(24 - 4)/4 = (2x - 4)/620/4 = (x - 2)/35 = (x - 2)/3x - 2 = 5*3x - 2 = 15x = 17Part 2The missing side is:
BC = 6 + 5*6 = 6 + 30 = 36 unitsThe perimeter is:
P = 24 + 36 + 26 = 86 unitsyou have been asked to determine the average amount that students spend per week on groceries. your estimate is to be within /- $25 of the population mean, the confidence level is to be 95%, and the estimated standard deviation for the amount spent is $125 based on prior research. what is the estimated required sample size?
The estimated required sample size is approximately 62 students. To determine the estimated required sample size, we can use the formula for sample size calculation in estimating a population mean with a specified margin of error:
n = (Z * σ / E)^2
Where:
n = required sample size
Z = Z-score corresponding to the desired confidence level (95% confidence level corresponds to a Z-score of approximately 1.96)
σ = estimated standard deviation of the population
E = desired margin of error
In this case, the desired margin of error is $25, and the estimated standard deviation is $125.
Substituting these values into the formula, we have:
n = (1.96 * 125 / 25)^2
n = (196 / 25)^2
n = 7.84^2
n ≈ 61.44
Rounding up to the nearest whole number, we get the estimated required sample size of 62.
Therefore, in order to estimate the average amount that students spend per week on groceries within a margin of error of $25, with a 95% confidence level and an estimated standard deviation of $125, a sample size of approximately 62 students would be needed. This sample size should provide a reasonable estimate of the population mean with the desired level of precision.
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I need help with this pleas
Find the difference:
3 4/6 - 1/6
O A. 21 / 1
O B. 273
O c. 3 1 / 3
N-
D. 34
E. 3
O E. 3
Answer:
3 1/2
Step-by-step explanation:
4 1 3
_ - _ = _
6 6 6
Then we simplify. 3 3 1
_ ÷ = _
6 3 2
Then just add your 3 and there 3 1/2 is your asnwer
The difference between 3 4/6 and 1/6 will be 3 1/2.
Given numbers are:
(1)\(3\frac{4}{6}\) \(=\frac{22}{6}\)
(2)\(\frac{1}{6}\)
What is a fraction?A fraction is a part of a whole.
The Difference between \(3\frac{4}{6}\) and \(\frac{1}{6}\) will be = \((\frac{22}{6} )-(\frac{1}{6} )\)
\(=\frac{22}{6} -\frac{1}{6}\)
\(=\frac{21}{6}\)
\(=\frac{7}{2}\)
\(=3\frac{1}{2}\)
Hence, the difference between 3 4/6 and 1/6 will be 3 1/2.
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Can some one tell me what is: B X H, cause its apart of my assignment
Answer:
Step-by-step explanation:
it is about math then b=base
and h =height
Point b is between A and C.AB=2x+1 and BC 3x. If the measures of AC is 41 what is the value of x
Answer:
x = 8
Step-by-step explanation:
Since B is between AC , then
AB + BC = AC , that is
2x + 1 + 3x = 41
5x + 1 = 41 ( subtract 1 from both sides )
5x = 40 ( divide both sides by 5 )
x = 8
The Observatory charges a $100 trip fee, plus $6.50 per student. Identify the rate of change.
Answer:
i deepends on how many students but if you have 5 kids then its 100$ plus 6.50 each kid
Step-by-step explanation:
Answer: Maybe I agree with the student, deepends on how many students but if you have 5 kids then its 100$ plus 6.50 each kid.
Step-by-step explanation:
Find the are n circumference of each circle above
The area and circumference of the circles are solved
Given data ,
Let the area and circumference be represented as A and C
Now , the circles are
Circumference of circle = 2πr
Area of the circle = πr²
a)
Radius = 7 m
C = 2 ( π ) ( 7 )
C = 43.98 m
A = π ( 7 )²
C = 153.938 m²
b)
Diameter = 30 feet
C = 2 ( π ) ( 15 )
C = 94.24 feet
A = π ( 15 )²
C = 706.858 feet²
c)
Radius = 10.2 inches
C = 2 ( π ) ( 10.2 )
C = 64.088 inches
A = π ( 10.2 )²
C = 326.85 inches²
d)
Diameter = 9 mm
C = 2 ( π ) ( 4.5 )
C = 28.274 mm
A = π ( 4.5 )²
C = 63.617 mm²
Hence , the circles are solved
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What is the density of a substance that has a mass of 500 g and a volume of 500mL
Answer:
1
Step-by-step explanation:
Given,
Mass ( m ) = 500 g
Volume ( V ) = 500 ml
To find : Density ( D ) = ?
Formula : -
D = m / V
D = 500 / 500
D = 1 g/ml
Hence,
1 g/ml is the density of a substance that has a mass of 500 g and a volume of 500mL.
what is the circumference of a circle with a radius of 14 centimeters
Answer:
c= πD
Step-by-step explanation:
22/7×28 =88
=88cm,
Circumference of circle = 2πr
= 2 × 22/7 × 14
= 2 × 22 × 2
= 44 × 2
= 88 cm²
Easyy!
the product of a rational and irrational number is always
The product of a rational and an irrational number can be either rational or irrational, depending on the specific numbers involved.
To illustrate this, let's consider an example:
Let's say we have the rational number 2/3 and the irrational number √2.
Their product would be (2/3) * √2.
In this case, the product is irrational.
The square root of 2 is an irrational number, and when multiplied by a rational number, the result remains irrational.
However, it's also possible to have a product of a rational and an irrational number that is rational. For example, if we consider the rational number 1/2 and the irrational number √4, their product would be (1/2) * 2, which equals 1. In this case, the product is a rational number.
Therefore, we cannot make a definitive statement that the product of a rational and an irrational number is always rational or always irrational. It depends on the specific numbers involved in the multiplication.
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How do you find the stretch factor of an exponential function?
The function f(x)=a\(b^{x}\)
is stretched vertically by a factor of a if |a|>1While horizontal and vertical shifts involve adding constants to the input or to the function itself, a stretch or compression occurs when we multiply the parent function f(x)=bx by a constant |a|>0. For example, if we begin by graphing the parent function f(x)=2x, we can then graph the stretch, using a=3, to get g(x)=3\((2)^{x}\)and the compression, using a=1/3
, to get h(x)=1/3\(2^{x}\)
The function f(x)=a\(b^{x}\)
is stretched vertically by a factor of a if |a|>1 is compressed vertically by a factor of a if |a|<1 has a y-intercept is (0,a) has a horizontal asymptote of y=0, range of (0,∞), and domain of (−∞,∞) which are all unchanged from the parent function.To learn more about function:
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CAN SOMEONE FIND "x" FOR ME PLZ :/
Answer:
9°
Explanation:
So, since the arrow is pointing to a RIGHT angle, you have to know the right angle's degree is 90° so set up an equation.
11x - 9 = 90
Now you solve it. Here's a step by step:
11x - 9 = 90
Add nine to nine and ninety. Since the nine in this equation is negative, it'll cancel it out. Now here's what you have left to solve:
11x = 99
Divide -11 from 11 and 99.
x = 9
If you feel like you're wrong, fill it in!
11(9) - 9 = 90
11 x 9 = 99
99 - 9 = 90
There you go!
how do you solve for a missing measure on a triangle
To determine to measure of the unknown angle, be sure to use the total sum of 180°. If two angles are given, add them together and then subtract from 180°. If two angles are the same and unknown, subtract the known angle from 180° and then divide by 2.
You're welcome Have a nice night ✨Can anyone help me solve this problem and explain how you got the answer I am pretty confused :(
Solve for X ____
Solve for Y ____
Step-by-step explanation:
since it is a right and isosceles triangle, therefore :
X = Y = (180-90)/2 = 90/2 = 45
X = 45°
Y = 45°
PLS HELP
First answer- (5,0) (10,0)
Second answer- (0,1//20) (0,20)
Aditi is participating in a walkathon fundraiser. two anonymous donors agree to donate money according to the distance she walks. the money, a, in dollars, that she receives from the first donor for walking d kilometers is given by the formula a(d)=12d. the total money, t, in dollars, that she receives from both donors for walking d kilometers is given by the formula t(d)=d^2+20d
The expression for the amount received for the second donor will be d² + 8d.
How to calculate the amount?From the information, Aditi is participating in a walkathon fundraiser. two anonymous donors agree to donate money according to the distance she walks. the money, a, in dollars, that she receives from the first donor for walking d kilometers is given by the formula a(d)=12d.
The total money, t, in dollars, that she receives from both donors for walking d kilometers is given by the formula t(d)=d^2+20d.
The amount received for the second donor will be:
d² + 20d - 12d
= d² + 8d
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Complete question
Aditi is participating in a walkathon fundraiser. two anonymous donors agree to donate money according to the distance she walks. the money, a, in dollars, that she receives from the first donor for walking d kilometers is given by the formula a(d)=12d. the total money, t, in dollars, that she receives from both donors for walking d kilometers is given by the formula t(d)=d^2+20d. Find the amount received for the second donor.
A 19 inch pipe is cut into two pieces. One piece is 5 times the length of the other. Find the length of the shorter piece.
The shorter piece is 3.17 inches long and the longer piece is 5 times as long, or 15.83 inches long. Together, they add up to the original length of 19 inches.
Let's start by using algebra to solve the problem. Let x be the length of the shorter piece, then the length of the longer piece is 5x. We know that the total length of the pipe is 19 inches, so we can write an equation:
x + 5x = 19
Simplifying, we get:
6x = 19
Dividing both sides by 6, we get:
x = 19/6
So the length of the shorter piece is:
x = 3.17 inches (rounded to two decimal places)
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Which graph represents the function f {x} = -log (x-1) + 1?
Graph A
Graph B
Graph C
Graph D
Suppose you want to have $300,000 for retirement in 25 years. Your account earns 6% interest.
a) How much would you need to deposit in the account each month?
$
b) How much interest will you earn?
The monthly payment you would need to deposit in the account over 25 years to get $300,000 would be $574.88, and the total interest you will earn will be $156,535.49.
a) The present value of the future amount (which is 25 years from now) = $300,000
Amount of interest per year = 6%
To find out how much you need to deposit in the account each month, you can use the formula for Future Value of Annuity or Annuity Due:
\(\[FVA = PMT \times \frac{{((1 + r)^n) - 1}}{r}\]\)
Where:
FVA = Future Value of Annuity
PMT = Payment
r = Rate per period
n = Number of periods of investment
We can rearrange the formula to solve for PMT:
\(\[PMT = \frac{{FVA}}{{((1 + r)^n) - 1}} \div r\]\)
Putting in the values, we get:
\(\[FVA = $300,000\]\)
\(\[r = \frac{{6\%}}{{12}}\)\)) (since the rate is per year and we need monthly payments)
\(\[n = 25 \times 12\)\) (since we need to calculate for monthly payments over 25 years)
Therefore:
\(\[PMT = $-574.88\]\)
The monthly amount to be deposited in the account will be $574.88. We can round off to the nearest dollar.
b) The total amount of interest you will earn will be the future value of all the deposits minus the principal amount. We already know the future value from the previous calculation, which is $300,000.
To find out the total amount of principal to be deposited, we can use the following formula:
\(\[P = PMT \times \frac{{(1 - (1 + r)^{-n})}}{r}\]\)
Where:
P = Principal
PMT = Payment
r = Rate per period
n = Number of periods of investment
Putting in the values, we get:
\(\[P = $-143,464.51\]\)
Therefore, the total interest you will earn will be the future value minus the total principal deposited:
$300,000 - $143,464.51 = $156,535.49
Therefore, you will earn a total of $156,535.49 in interest over the 25-year period. Hence, this is the main answer.
Therefore, the monthly payment you would need to deposit in the account over 25 years to get $300,000 would be $574.88, and the total interest you will earn will be $156,535.49.
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Uma makes a scale drawing of a patio. The drawing below shows the two scales she used to plan two patios of different
sizes.
Scale 1: 1 cm: 3 m
Scale 2: 1 cm: 4m
B: 12 cm
C: 15 cm
A: 9 cm
Which shows the correct lengths of side C in both scales?
The correct lengths of side C is scale 1 is 45m and scale 2 is 60m.
What are scale drawings?
A scale drawing is a reduced form in terms of dimensions of an original image / building / object
Scale of the drawing = original dimensions / dimensions of the scale drawing
Scale 1 = 15 x 3 = 45m
Scale 2 = 15 x 4 = 60m
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A firm manufactures padded shipping bags. A cardboard carton should contain 100 bags, but machine operators fill the cardboard cartons by eye, so a carton may contain anywhere from 98 to 123 bags (average = 105.5 bags). Each padded bag costs $0.03. Management realizes that they are giving away 5(1/2)% of their output by overfilling the cartons. One solution is to automate the filling of shipping cartons. This should reduce the average quantity of bags per carton to 100.3, with almost no cartons containing fewer than 100 bags. The equipment would cost $18,600 and straight-line depreciation with a 10-year depreciable life and a $3600 salvage value would be used. The equipment costs $16,000 annually to operate. 200,000 cartons will be filled each year. This large profitable corporation has a 40% combined federal-plus-state incremental tax rate. Assume a 10-year study period for the analysis and an after-tax MARR of 15%. Compute: (a) The after-tax present worth (b) The after-tax internal rate of return (c) The after-tax simple payback period =1.9 years
The after-tax present worth according to the given values is $732,140.56 and the internal rate of return is 22.65%.
(a) To compute the after-tax present worth, we need to determine the net cash flow for each year and discount it to present value using the after-tax MARR of 15%.
Year 0: Initial cost of equipment = -$18,600
Years 1-10:
Revenue from bags = (100.3 bags/carton) x ($0.03/bag) x (200,000 cartons/year) = $120,780
Cost savings from reducing overfilling = (5.5%) x ($0.03/bag) x (200,000 cartons/year) = $3,300
Operating cost of equipment = -$16,000
Depreciation expense = -$1,800 (($18,600 - $3,600 salvage value) / 10 years)
Net cash flow for each year:
Year 0: -$18,600
Year 1: $107,280 ($120,780 + $3,300 - $16,000 - $1,800)
Year 2: $109,160 ($120,780 + $3,300 - $16,000 - $1,800)
...
Year 10: $113,640 ($120,780 + $3,300 - $16,000 - $1,800)
Discounting each year's net cash flow to present value and summing them up, we get:
PV = -$18,600 + ($107,280 / (1+0.15)^1) + ($109,160 / (1+0.15)^2) + ... + ($113,640 / (1+0.15)^10)
PV = -$18,600 + $750,740.56
PV = $732,140.56
Therefore, the after-tax present worth is $732,140.56.
(b) To compute the after-tax internal rate of return, we need to find the discount rate that makes the net present value equal to zero. We can use trial and error or a financial calculator to solve this.
Using trial and error, we find that a discount rate of approximately 22.65% makes the net present value equal to zero. Therefore, the after-tax internal rate of return is approximately 22.65%.
(c) To compute the after-tax simple payback period, we need to determine how long it takes for the cumulative net cash flow to equal the initial cost of the equipment.
Year 0: -$18,600
Year 1: $107,280
Year 2: $109,160
Year 3: $110,960
Year 4: $112,680
Year 5: $114,320
Year 6: $115,880
Year 7: $117,360
Year 8: $118,760
Year 9: $120,080
Year 10: $121,320
The cumulative net cash flow becomes positive in year 3, so the after-tax simple payback period is approximately 1.9 years (between year 2 and year 3).
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Solve: 5(h − 3) = 25
Answer:
h=8
Step-by-step explanation:
open the brackets
then, 5h - 15= 25
h=(25+15)/5
h=8
Answer:
h = 8
Step-by-step explanation:
Hi there !
5(h - 3) = 25
5h - 15 = 25
5h = 25 + 15
5h = 40
h = 40 : 5
h = 8
Good luck !
Construct a 3x3 matrix A, with nonzero entries, and a vector b in R3 such that b is not in the set spanned by the columns of A. Choose the correct answer below 11 13 1114 3 A. B. L333J 333] 111] L9 「1 1 2 33 3 4 56 3 3 21
none of the dot products are equal to b, we can conclude that b is not in the set spanned by the columns of A. C. 13 2 13 2 13 2 L1 1 2 1 1 2 111] 33 3 4 56 3 3 2!
First we need to create a 3x3 matrix A, with nonzero entries. We can do this by choosing any non-zero entries for each of the nine elements in the matrix. For example:
A = [11 13 1114 3
13 2 13 2
111] 33 3 4]
Next, we need to create a vector b in R3 that is not in the set spanned by the columns of A. To do this, we can choose any three values that are different from the values in A. For example:
b = [9 1 2]
Now we can check if b is not in the set spanned by the columns of A. To do this, we can calculate the dot product of b and each column of A. If the dot product of any of the columns is equal to b, then b is in the set spanned by the columns of A. Since none of the dot products are equal to b, we can conclude that b is not in the set spanned by the columns of A.
The complete question is : Construct a 3x3 matrix A, with nonzero entries, and a vector b in R3 such that b is not in the set spanned by the columns of A. Choose the correct answer below 11 13 1114 3 A. B. L333J 333] 111] L9 「1 1 2 33 3 4 56 3 3 21 C. D. 13 2 13 2 13 2 L1 1 2 1 1 2 111] 33 3 4 56 3 3 2!
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