Answer:
45%
Step-by-step explanation:
Based on Valeria’s sample of 40 students, where 18 of them speak Spanish at home, the percentage of students at the school who speak Spanish at home can be estimated as (18/40) * 100% = 45%. This means that, according to her sample, approximately 45% of the students at the school speak Spanish at home.
Received message. Based on Valeria's sample of 40 students, where 18 of them speak Spanish at home, the percentage of students at the school who speak Spanish at home can be estimated as (18/40) * 100% = 45%. This means that, according to her sample, approximately 45% of the students at the school speak Spanish at home.
16. What is the volume of the composite figure? 8 ft 4 ft 6 ft 3 ft 2 ft
Answers 96 ft³3 76 ft³ 152 ft³ 192 ft³
The volume of the composite figure is 228 ft³.
To calculate the volume of a composite figure, we need to break it down into its individual components and then sum up the volumes of each component.
From the given dimensions, it seems that the composite figure consists of multiple rectangular prisms. Let's calculate the volume of each prism and then add them together.
First prism:
Length = 8 ft, Width = 4 ft, Height = 6 ft
Volume = Length * Width * Height = 8 ft * 4 ft * 6 ft = 192 ft³
Second prism:
Length = 3 ft, Width = 2 ft, Height = 6 ft
Volume = Length * Width * Height = 3 ft * 2 ft * 6 ft = 36 ft³
Now, let's add the volumes of both prisms:
192 ft³ + 36 ft³ = 228 ft³
Therefore, the volume of the composite figure is 228 ft³.
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What is the volume of the composite figure? 8 ft 4 ft 6 ft 3 ft 2 ft
Answers 96 ft³3 76 ft³ 228 ft³ 192 ft³
....................................................................................
Answer: A 265100
Step-by-step explanation:
Given:
t=5 years
Formula:
V= 220000(1.038)⁵ >plug into the calc: 220000 * 1.038^5
V= 265100
Answer is A. 265100
Answer:
a) $265,100
Step-by-step explanation:
Given equation:
[tex]\boxed{V=220000(1.038)^x}[/tex]
where:
V is the value of the home after x years.x is the number years.The Lee family bought their home for $220,000 this year.
To find the value of the Lee family's home in 5 years, substitute x = 5 into the given equation and solve for V:
[tex]\begin{aligned}x=5 \implies V&=220000(1.038)^5\\&=220000(1.20499922...)\\&=265099.829...\\&=\$265,100\;\sf(nearest\;dollar)\end{aligned}[/tex]
Therefore, the value of the Lee's family home in 5 years is $265,100 to the nearest dollar.
sin¹(x)-cos¹ (x)/sin²(x)-cos² (x) =1
Factor [tex]x^{2}[/tex] + 64
The expression x^2 + 64 is a quadratic expression that cannot be factored using real numbers. However, it can be factored using complex numbers.
We know that i^2 = -1, so we can write:
x^2 + 64 = x^2 - (-64)
Now, we can use the difference of squares formula, which states that:
a^2 - b^2 = (a + b)(a - b)
Using this formula, we can write:
x^2 + 64 = (x + 8i)(x - 8i)
Therefore, the factored form of x^2 + 64 is (x + 8i)(x - 8i).
[tex]x^{2} + 64[/tex] can be factored into [tex](x + 8i)(x - 8i)[/tex], where [tex]i[/tex] is the imaginary unit.
Weekly wages at a certain factory are normally distributed with a mean of 400 dollars and a standard deviation of 50 dollars. Find the probability that a worker selected at random makes between 400 dollars and 550 dollars.
49.87% is the probability that a worker selected at random makes between 400 dollars and 550 dollars.
To find the probability that a worker selected at random makes between $400 and $550, we can use the properties of the normal distribution.
Given that the weekly wages are normally distributed with a mean (μ) of $400 and a standard deviation (σ) of $50, we can use these parameters to standardize the values and then find the corresponding probabilities.
To standardize the values, we use the z-score formula:
z = (x - μ) / σ
where x is the value we want to find the probability for.
For $400:
z1 = (400 - 400) / 50 = 0
For $550:
z2 = (550 - 400) / 50 = 3
Now, we can use the standard normal distribution table or a calculator to find the probabilities associated with these z-scores.
The probability of a worker making less than or equal to $400 is the same as the probability of z1 or less, which is P(z ≤ 0). From the standard normal distribution table, we find that P(z ≤ 0) is approximately 0.5.
The probability of a worker making less than or equal to $550 is the same as the probability of z2 or less, which is P(z ≤ 3). From the standard normal distribution table, we find that P(z ≤ 3) is approximately 0.9987.
Therefore, the probability that a worker selected at random makes between $400 and $550 is the difference between these two probabilities:
P(400 ≤ x ≤ 550) = P(z ≤ 3) - P(z ≤ 0) ≈ 0.9987 - 0.5 ≈ 0.4987
So, the probability is approximately 0.4987 or 49.87%.
Using the z-score, we transformed the values into a standard normal distribution, looked up the probabilities associated with the z-scores from a standard normal distribution table, and found the difference in probabilities to determine the probability of the worker's wage falling between $400 and $550.
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A table is on sale for 68% off. The sale price is $147.20.
What is the regular price?
Answer:
Let's use "P" to represent the regular price of the table.
If the table is on sale for 68% off, then the sale price is 100% - 68% = 32% of the regular price.
We know that the sale price is $147.20, so we can write:
0.32P = $147.20
To find P, we need to divide both sides of the equation by 0.32:
P = $147.20 / 0.32
P = $460.00
Step-by-step explanation:
Answer:
$460 is the correct answer.
Find the area between the curves y=e^-0.3x and y=2.2x+1 from x=0 to x=2
From x = 0 to x = 2, the area of the region between the curves [tex]y = e^{-0.3x[/tex] and y = 2.2x + 1 is roughly 2.496 square units.
To determine the area, the intersection points of two curves must be identified, and the difference between the curves must be integrated over the provided time interval.
Finding the points of intersection by setting the two equations equal to each other:
[tex]e^{-0.3x[/tex] = 2.2x + 1
After graphing the two equations, we find that they intersect at approximately (0.380, 1.836) and (1.847, 5.080).
We can now find the area by integrating the difference between the curves across the given range [0, 2].
To get the area between two curves, use the following formula:
Area = ∫(upper curve - lower curve) dx
Area = ∫(2.2x + 1 - [tex]e^{-0.3x[/tex] ) dx
Solving,
Area ≈ 2.496
Hence the area between the curves y = [tex]e^{-0.3x[/tex] and y = 2.2x + 1 from x = 0 to x = 2 is approximately 2.496 square units.
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Calculate the total cost of an item bought at a negotiated price of $21,980 with 7.6 percent sales tax and a $82 registration fee.
$22,473.18
$22,962
$23,656.71
$23,732.48
The total cost of the item 23, 732.48 dollars.
How to find the total cost of the item?The item was negotiated at a price of $21,980 with 7.6 percent sales tax
and a $82 registration fee.
Therefore, let's find the total cost of the item.
Hence,
The sales tax is a consumption tax on the sale of goods and services. Therefore,
sales tax = 7.6 % of 21980
sales tax = 7.6 / 100 × 21980
sales tax = 167048 / 100
sales tax = 1670.48 dollars
Therefore,
total cost of items = 21980 + 1670.48 + 82
total cost of items = 23, 732.48 dollars
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Why is FOQZ the odd one out in
these sets of letters?
BCDEGPTV AJK FOQZ IY
The odd one out in the set is "FOQZ." It deviates from the pattern by the other sets, where the letters are arranged in Alphabetical order.
The set of letters "BCDEGPTV AJK FOQZ IY" seems to follow a specific pattern. If we examine the letters in each group, we can identify a difference that sets "FOQZ" apart from the others.
In the first group "BCDEGPTV," the letters are arranged in alphabetical order. Similarly, in the second group "AJK," the letters are also in alphabetical order. However, when we look at the third group "FOQZ," the letters do not follow alphabetical order.
Based on this pattern, we can conclude that the odd one out in the set is "FOQZ." It deviates from the pattern followed by the other sets, where the letters are arranged in alphabetical order.
It's worth noting that the pattern could be based on different criteria, such as the position of the letters in the alphabet or some other sequence. Without additional information or context, it is difficult to determine the exact pattern or reason for the deviation.
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what is the answer to -4√14·2√8
evaluate 8x-4y when x=2 and y=3 (a)4 (b)28 (c)22 (d)18
Answer:
(a) 4
Step-by-step explanation:
Let's start with the equation:
8x-4y
Since we already have the values of x and y, we can solve out equation.
8(2)-4(3)
16-12=4
The answer is (a)4
Please help
21. What are the missing coordinates of point Q?
P(0, c)
A.
B.
C.
D.
Session 2-Calculator Allowed
(-2a, 0)
(2a, 0)
(-2a, c)
(2a, c)
Q(?, ?) O
N(2a, 0)
"The correct answer is option A." The missing coordinates of point Q are (a, c/2).We are given the coordinates of points P and N as (0, c) and (2a, 0), respectively. We are also given that point Q lies on the same line as points P, Q, and N. We need to find the missing coordinates of point Q.
Since point Q lies on the same line as P, Q, and N, its x-coordinate must be halfway between the x-coordinates of points P and N. That is, the x-coordinate of Q is:
x-coordinate of Q = (x-coordinate of P + x-coordinate of N) / 2
x-coordinate of Q = (0 + 2a) / 2 = a
So, we know that the x-coordinate of point Q is a.
To find the y-coordinate of point Q, we can use the fact that point Q lies on the same line as point P, which has coordinates (0, c). The equation of the line passing through P and N is:
y - c = (0 - c) / (2a - 0) * (x - 0)
Simplifying this equation gives:
y - c = -c/2a * xy = -c/2a * x + c
Substituting x = a in this equation gives:
y = -c/2a * a + cy = -c/2 + cy = c/2
So, we know that the y-coordinate of point Q is c/2.
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Evaluate (4+1i)-(-6+4i)
The expression represents the subtraction of two Complex numbers, resulting in a new complex number with a real part of 10 and an imaginary part of -3i.
The expression (4 + 1i) - (-6 + 4i),the subtraction of complex numbers by distributing the negative sign across the terms in the parentheses.
(4 + 1i) - (-6 + 4i) can be rewritten as:
4 + 1i + 6 - 4i
Next, we can combine like terms by adding the real parts (the numbers without the "i" term) and the imaginary parts (the numbers multiplied by "i") separately.
For the real parts, we have 4 + 6 = 10.
For the imaginary parts, we have 1i - 4i = -3i.
Therefore, the expression (4 + 1i) - (-6 + 4i) simplifies to:
10 - 3i
So the result of the expression is 10 - 3i.
It is important to note that "i" represents the imaginary unit, which is defined as the square root of -1. In complex numbers, the real part represents the real number component, and the imaginary part represents the multiple of the imaginary unit.
the expression represents the subtraction of two complex numbers, resulting in a new complex number with a real part of 10 and an imaginary part of -3i.
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Choose the most appropriate measures to describe the center and the variation. Dot plot, titled Prices of Games, shows the price in dollars with the following values that appear as dots above the line. One dot above 28. Two dots above 30. Four dots above 32. Three dots above 34. Two dots above 36. One dot above 38. The most appropriate measure to describe the center is the . The most appropriate measure to describe the variation is the .
The most appropriate measure to describe the center is the Median, and the most appropriate measure to describe the variation is the range.
The most appropriate measure to describe the center of the data in the dot plot is the median. The median represents the middle value when the data is arranged in ascending or descending order. In this case, the median is the value that divides the data into two equal halves. As there are 13 values in total, the median will be the seventh value, which corresponds to the value with two dots above it, which is 32 dollars. Therefore, the median accurately represents the center of the data in this case.
The most appropriate measure to describe the variation of the data in the dot plot is the range. The range represents the difference between the maximum and minimum values in a dataset. In this case, the minimum value is 28 dollars (one dot above it) and the maximum value is 38 dollars (one dot above it). Therefore, the range is 38 - 28 = 10 dollars, which indicates the spread or variation of the data.
Hence, the most appropriate measure to describe the center is the median, and the most appropriate measure to describe the variation is the range.
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an inventor is designing a machine that will have two gears. the first gear will complete one revolution every 8x squared y seconds. the second gear will complete one revolution every 6x to the third power y squared seconds. how often will both of the gears be in their starting positions at the same time
Answer:
every 24x^3y^2 seconds
Step-by-step explanation:
To determine how often both gears will be in their starting positions at the same time, we need to find a common multiple of the two revolution times.
The first gear completes one revolution every 8x^2y seconds, and the second gear completes one revolution every 6x^3y^2 seconds.
To find a common multiple, we need to factorize the revolution times:
8x^2y = (2^3)(x^2)(y)
6x^3y^2 = (2)(3)(x^3)(y^2)
The common multiple should include all the prime factors with their highest powers. Therefore, the common multiple would be:
(2^3)(3)(x^3)(y^2) = 24x^3y^2 seconds.
So, both gears will be in their starting positions at the same time every 24x^3y^2 seconds.
Help me solve this please
Answer:
622m²
Step-by-step explanation:
a right rectangular prism will have 6 sides and the parallel sides of the prism will be the same size
so we work out the given surface areas and multiply each by 2
7 x 11 = 77
times 2 is 154
11 x 13 = 143
times 2 is 286
7 x 13 = 91
times 2 is 182
then we add it all up
154 + 286 + 182 = 622m²
The surface area is ___
square feet.
The Surface Area of Prism is 17.6 ft².
We have,
Sides of triangle = 2 ft, 1 ft and 2.2 ft.
and, l = 3 ft, b = 1 ft and h= 2 ft
So, Surface Area of Prism
= (2 + 1 + 2.2)3 + 2 x 1
= 5.2 x 3 + 2
= 17.6 ft²
Thus, Surface Area of Prism is 17.6 ft².
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What is the sum of the first 43 terms of the sequence?
−282,−277,−272,−267,...
The sum of the first 43 terms of the sequence given below is -7611.
What is the arithmetic sequence?An arithmetic sequence is a list of numbers with a definite pattern. If you take any number in the sequence then subtract it by the previous one, and the result is always the same or constant then it is an arithmetic sequence.
The formula for it is:
[tex]\text{a}_\text{n}=\text{a}+\text{D}(\text{n}-1)[/tex]
Given Sequence:
[tex]\sf -282,-277,-272,-267, \ ...[/tex]It represent an A.P. with
first term [tex]\sf a=-282[/tex]common difference [tex]\sf d =5[/tex]So, sum of 43 terms.
[tex]\text{S}_\text{n}=\frac{\text{n}}{2}[2\text{a}+(\text{n}-1)\text{d}][/tex]
[tex]\text{S}_{43}=\frac{43}{2}\times[2\times(-282)+(43-1)5][/tex]
[tex]\text{S}_{43}=\frac{43}{2}\times[-564+210][/tex]
[tex]\text{S}_{43}=\frac{43}{2}\times[-354][/tex]
[tex]\text{S}_{43}={43}\times[-177][/tex]
[tex]\text{S}_{43}=\bold{-7611}[/tex]
Hence, the sum of the first 43 terms of the sequence given below is
-7611.
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list price: $6.40 dicount rate :15%. find the discount and find the sale price Emergency
The sale price is $5.44 while the discount is $0.96
What is an equation?An equation is an expression that is used to show how numbers and variables are related using mathematical operators
The list price of a goods is $6.40 and the discount rate is 15%, hence:
Discount = 15% of list price = 0.15 * $6.40 = $0.96
Sale price = List price - Discount = $6.40 - $0.96 = $5.44
The sale price is $5.44
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Can someone help with measuring mass
the question is
1 . Compare the following measurements and insert <,> or = symbol.
4.5 kg ______ 150 cm
Answer: 4.5 km>150 cm
Step-by-step explanation:
I think you meant km, because kilograms are not compatible with cm, unless it's kg/m to g/cm.
Kilometers are units of measurement, and so are centimeters, so It'd be accurate only then.
Evaluate the expression.
15-2√ 3² + 16
=
Answer: 25
Step-by-step explanation:
bc
100 Points! Algebra question. Photo attached. Find the exact value of the expression. Please show as much work as possible. Thank you!
The exact value of the expression is -05
How to determine the valueTo determine the value, we need to know the conversion formula for radians to degrees
We have that;
1 radian = 57.2958 degrees
If the value of the radian is in terms of pie, we have that;
π radians = 180 degrees
Then, from the information given, we have that;
if π radians = 180 degrees
-10π/3 = x
x = -1800π/3 × 1/π
Divide the values, we get;
x = -600
Now, substitute the value into the cosine identity, we have;
cos(-600)
determine the value, we get;
-0.5
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Use diagram below to answer the following question.
The circumference of the circle is 18.84.
We have,
Radius = 3
Now,
The circumference of a circle.
= 2πr
Substituting r and π = 3.14.
= 2 x 3.14 x 3
= 18.84
Thus,
The circumference of the circle is 18.84.
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The director of surgery at a local hospital is interested in understanding his unit’s costs. An assistant collected data for the past 36 months on unit cost (labor, supplies, and so on) along with the number of procedures performed in the unit. The assistant analyzed the data using a spreadsheet program, and the following output was generated.
Equation
Intercept $ 1,003,000
Coefficient on procedures $ 215
Statistical data
Correlation coefficient 0.503
R2 0.253
The unit is planning to perform an average 17,000 procedures per month for the coming year.
To make informed decisions about budget allocation and cost management, the director should consider this relationship between the number of procedures and unit cost.
The director of surgery at a local hospital aims to understand the unit's costs by analyzing data from the past 36 months, including unit cost (labor, supplies, etc.) and the number of procedures performed.
The assistant used a spreadsheet program to analyze this data and obtained an R2 value of 0.253.
This indicates that 25.3% of the variation in unit cost can be explained by the number of procedures performed. The unit plans to perform an average of 17,000 procedures per month in the upcoming year.
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Here's a box plot that summarizes the number of pens in each student's desk. A horizontal boxplot is plotted along a horizontal axis marked from 0 to 14, in increments of 1, labeled Number of pens. A left whisker extends from 0 to 2. The box extends from 2 to 6 and is divided into 2 parts by a vertical line segment at 4. The right whisker extends from 6 to 12. All values estimated. A horizontal boxplot is plotted along a horizontal axis marked from 0 to 14, in increments of 1, labeled Number of pens. A left whisker extends from 0 to 2. The box extends from 2 to 6 and is divided into 2 parts by a vertical line segment at 4. The right whisker extends from 6 to 12. All values estimated. Find the interquartile r
The interquartile range of this data set is equal to 4.
What is an interquartile range?In Mathematics and Statistics, IQR is an abbreviation for interquartile range and it can be defined as a measure of the middle 50% of data values when they are ordered from lowest to highest.
Mathematically, interquartile range (IQR) of a data set is the difference between third quartile (Q₃) and the first quartile (Q₁):
Interquartile range (IQR) of data set = Q₃ - Q₁
Interquartile range (IQR) of data set = 6 - 2
Interquartile range (IQR) of data set = 4.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
The volume of a cylinder is 368 cubic inches and the radius of the cylinder is 4 inches. What is the height of the cylinder?
Answer: the answer is h=7.32in
pls help, due today !
(a) the function which has the graph with greatest slope is function 3.
(b) The function which has the graph with a y intercept closest to 0 is function 2.
(c) The functions which have graphs with y intercepts greater than 4 is function 4.
Given are 4 functions.
For function 1, consider two points (1, -3) and (0, -4).
Slope = (-4 - -3) / (0 - 1) = 1
For function 2, consider two points (1, -6) and (0, -1).
Slope = (-1 - -6) / (0 - 1) = -5
For function 3,
Slope = 4
For function 4,
Slope = -3
Greatest slope is for function 3.
y intercept is the point where the graph touches the Y axis. x coordinate will be 0 at that point.
For function 1,
y intercept = -4
For function 2,
y intercept = -1
For function 3,
y intercept = 3
For function 4,
y intercept = 5
The graph which has y intercept closest to 0 is function 2.
The functions which have graphs with y intercepts greater than 4 is function 4.
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An isosceles triangle has equal sides where PQ = PR and base angles of 65⁰. QX = XR = 2.64 cm. Find a) PQ b) PX
Answer:
In an isosceles triangle, the sides opposite the equal angles are equal in length. Let's solve the given problem using the given information.
a) To find PQ, we need to find the length of the equal sides. Since QX = XR = 2.64 cm, we know that PQ = PR. Therefore, PQ = PR = 2.64 cm.
b) To find PX, we can use the concept of the Law of Cosines. In an isosceles triangle, the base angles are equal, so the angle at P is 65°, and the opposite side is PX.
Using the Law of Cosines formula:
c² = a² + b² - 2ab * cos(C)
Where c is the side opposite angle C, and a and b are the other two sides.
In our case, we have:
a = PQ = 2.64 cm
b = PR = 2.64 cm
C = 65°
We want to find PX, so c = PX.
Substituting the values into the formula:
PX² = (2.64)² + (2.64)² - 2(2.64)(2.64) * cos(65°)
PX² ≈ 6.9696 + 6.9696 - 2(2.64)(2.64) * 0.42262
PX² ≈ 13.9392 - 2(2.64)(2.64) * 0.42262
PX² ≈ 13.9392 - 2(2.64)(2.64) * 0.42262
PX² ≈ 13.9392 - 11.1197
PX² ≈ 2.8195
Taking the square root of both sides, we get:
PX ≈ √2.8195
PX ≈ 1.678 cm
Therefore, a) PQ = PR = 2.64 cm, and b) PX ≈ 1.678 cm.
Step-by-step explanation:
baez has hit 31.25 of the time he is at bat for the last 7 games. If he has 10 hits how many total does he have.
To answer the original question, if Baez has 10 hits in 32 at-bats, he would have a total of 10 hits.
To answer this question, we first need to figure out how many at-bats Baez has had over the last seven games.
Since he hits 31.25% of the time he is at bat, we can assume that he has had 100/31.25 = 3.2 at-bats per hit. Therefore, he has had 32 at-bats over the last seven games (10 hits x 3.2 at-bats per hit).
Now that we know Baez has had 32 at-bats, we can calculate his batting average by dividing the number of hits he has (10) by the number of at-bats (32). This gives us a batting average of 0.3125, or 31.25%.
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I really need help with this
Answer:
Step-by-step explanation:
Statement Reason
PR ≅ TR Given
<PQR≅<TSR Given
<PRQ≅<TRS Vertical Angles Theorem
PQR=TSR SAS Theorem (Side-Angle-Side)
