Answer:
see explanation
Step-by-step explanation:
(c)
ratio of
boys : total students
= 182 : 260 ( divide both parts by 26 )
= 7 : 10
number of girls = 260 - 182 = 78
ratio of
girls : total students
= 78 : 260 ( divide both parts by 26 )
= 3 : 10
A truck has traveled 75 miles in 1.5 hours of driving. At the same speed, which proportion can be used to determine how long, T (in hours), it would take the truck to travel 325 miles.
Answer: 6.5 hours
Step-by-step explanation:
From the question, we are given the information that a truck has traveled 75 miles in 1.5 hours of driving. The miles pee hour travelled will be:
= 75 / 1.5
= 50 miles per hour
The number of hours that the truck will use to travel 325 miles will be:
= 325/50
= 6.5 hours
The picturegram shows information about CDs sold in a shop.
1 . How manny CDs were sold on Wednesday | Key = 3 |
2. How manny more CDs were sold on Thursday than Wednesday?
**If you know the answer let me know!**
Answer:
i believe number 1 is 18 and number 2 is 9.
Step-by-step explanation:
if one full circle represents 6 CDs then on wednesday 18 Cds were sold because 6+6+6=18 and on thursday they sold 9 more Cds than on wednesday because they sold 6+6+6+6+3 which equals 9.
Javier is buying 4 dining chairs online. Each chair costs $84. He can choose one of two promotions:Option A: 1-third off the total cost of the chairs, plus shipping. Option B: 25% off the total cost of the chairs and free shipping. The shipping charge is $18. 25 on discounted orders of $300 or more, or $15. 75 on discounted orders of less than $300.
How much will Javier save by choosing the cheapest option? PLS HELP QUICK
Answer:
28 si esque no me equivoco
What is the value of n-7 when n=14
Answer: The answer is 7
Step-by-step explanation: First n=14, so we rewrite the equation and get 14-7. So the answer is 7.
PS. Can you mark brainliest???
Answer:
Basically 7
Step-by-step explanation:
If N=14 then 14-7
can someone help me with this please ?????
Answer:
180 - 55 = 125
The correct answer is B.
what is the correlation
Answer: moderate, C, B
Step-by-step explanation:
A) A shows a moderate negative correlation. It is moderate because the scattered points are sort of close to the line so it has moderate/medium correlation. It is also negative because it has a negative slope
B) C shows the strongest correlation because the points around the line are tight and close.
C) B should not have been drawn. The correlation is very weak. You do know where the line should be because the points are all over the place.
Four circles of radius 3 are arranged as shown. Their centers are the vertices of a square. The area of the shaded region is closest to:
A. 7.7
B. 12.1
C. 17.2
D. 18
E. 27
Answer:
Its A, 7.7
Step-by-step explanation:
105 kilometers to miles
Answer:
65.244 miles
Step-by-step explanation:
google lol
Answer: 65.244
Step-by-step explanation:
.....
given that x has a poisson distribution with μ=9, what is the probability that x=9
The probability that x=9 for a Poisson distribution with μ=9 is 0.126.
The probability that x=9 for a Poisson distribution with μ=9 can be found using the formula P(x) = (e^-μ * μ^x) / x!.
Let's first understand what is Poisson ratio:
In mathematics, Poisson's ratio is a measure of the deformation of a material in response to an applied force. Specifically, it is the ratio of the relative contraction or compression of the material perpendicular to the direction of the applied force, to the relative extension or stretching of the material in the direction of the applied force.
Step 1: Plug in the values for x and μ into the formula.
P(9) = (e^-9 * 9^9) / 9!
Step 2: Simplify the equation.
P(9) = (0.00012341 * 387420489) / 362880
Step 3: Calculate the final probability.
P(9) = 0.126
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for the simple harmonic motion equation d=2 sin(pi/3t) what is the period
For the simple harmonic motion equation d=2 sin(pi/3t), the period is 6 seconds.
The period of a simple harmonic motion is the time taken for one complete cycle of the motion. In this equation, d represents the displacement or position of the object at time t. The equation is in the form of sin function with the argument (pi/3)t. The general form of the equation for simple harmonic motion is d=A sin(ωt+φ), where A is the amplitude, ω is the angular frequency, and φ is the phase angle. To determine the period of this motion, we can use the formula T=2π/ω, where T is the period and ω is the angular frequency. In this case, ω=pi/3, so the period is T=2π/(pi/3)=6 seconds (rounded to the nearest second). Therefore, the object completes one full cycle of motion every 6 seconds.
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the rate of change in temperature if it drops 29 degrees over 8 hours.
Answer:
dk dc
Step-by-step explanation:
The required rate of change in temperature drop by 29 degrees over 8 hours is 3.625 degrees per hour.
Given that,
The temperature drops 29 degrees over 8 hours.
Rate of temperature drop per hour to be determined.
The rate of change is defined as the change in value with the rest per unit time called the rate of change.
Here,
The temperature drops 29 degrees over 8 hours.
Rate of temperature drop per hour,
Rate of change = Total temperature drop/time
Rate of change = 29 / 8
= 3.625 degrees per hour.
Thus, the required rate of change in temperature drop by 29 degrees over 8 hours is 3.625 degrees per hour.
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40% off $800
25% off $600
Answer:
40% of $800 = 320
25% of $600 = 150
55. Joe deposits $500 in to a savings account that grows at a rate of 4.5% annually. If they do not withdraw any money, how much will they have in 3 years?
After 3 years, Joe will have $579.14 in their savings account if they do not withdraw any money.
To solve the given problem, we need to use the formula for the amount of money in a savings account with compounded interest, which is given by:
A = P(1 + r/n)^(nt), where A is the final amount of money,P is the principal (the initial amount of money deposited),r is the annual interest rate,n is the number of times the interest is compounded per year, and t is the time in years.
Using the given values, we can substitute them into the formula and solve for the final amount of money that Joe will have after 3 years:A = $\(500(1 + 0.045/1)^(^1 ^× 3)A = $500(1.045)^3A\)= $579.14.
Therefore, after 3 years, Joe will have $579.14 in their savings account if they do not withdraw any money.
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the phasor form of the sinusoid 8 sin(20t 57°) is 8 ∠
The phasor form of a sinusoid represents the amplitude and phase angle of the sinusoid in complex number notation. In this case, the phasor form of \(8 sin(20t 57)\) would be 8 ∠57°. The amplitude, 8, is the magnitude of the complex number, and the phase angle, 57°, is the angle of the complex number in the complex plane.
In terms of amplitude and phase angle, a sinusoidal waveform is mathematically represented in phasor form. Electrical engineering frequently employs it to depict AC (alternating current) circuits and signals. A complex number that depicts the magnitude and phase of a sinusoidal waveform is called a phasor. The phase angle is represented by the imaginary component of the phasor, whereas the real part of the phasor represents the waveform's amplitude. Complex algebra can be used to analyse AC circuits using the phasor form, which makes computations simpler and makes it simpler to see how the circuit behaves.
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I need help on this.. And I will give you a BRANILIST if you the first one with the right answer
Answer:
0.1
Step-by-step explanation:
(9,4) (5,1) \(\frac{y_{2} y_{1} }{x_{2} x_{1} }\), plug in the numbers, \(\frac{(1)(4)}{(5)(9)}\)= \(\frac{4}{40} or \frac{1}{10}\), to write it as a decimal, you divide the numerator by the denominator, 0.1
A local boy club sold 136 bags of mulch and made a total of $253 it sold two types of mulch hardwood for 2.00 a bag and pine bark for $1.75 a bag how many bags of each kind of mulch did he sell
Answer:
The total number of hardwood mulch is 48 and pine bark mulch is 128 and this can be determine by forming the linear equation in two variables.
Given :
A local boys club sold 176 bags of mulch and made a total of $520.
Sold two types of mulch : hardwood for $3.50 a bag and pine bark for $2.75 a bag.
Let the number of hardwood mulch be x and the number of pine bark mulch be y then the total number of mulch will be:
--- (1)
And the total amount is given by the equation:
---- (2)
Substitute the value of y in equation (2).
y = 128
Now, put the value of y in equation (1).
x = 176 - 128
x = 48
So, the total number of hardwood mulch is 48 and pine bark mulch is 128
Step-by-step explanation:
A small town in north Texas is in the middle of quite a scandal. It turns out that 15 years ago, three babies
were born within three minutes, and each was sent home randomly with the wrong family. In order to
determine which children are actually related to the parents involved, the blood type of each individual was
analyzed. Use the results shown below to answer the question.
Children
X. A
Y. O
Z. A
Parents
1. The Wheelers/ A and AB
II. The Byers/ AB and O
Ill. The Hendersons/ O and B
Answer:
X is parent 1
z is parent 2
y is parent 3
what is 1+1 ? I need Help with this
Given data:
The given expression is 1+1.
The value of the given expression is,
\(1+1=2\)Thus, the value of 1+1 is 2.
What is Precession? Group of answer choices
Deviations in the circularity of the orbit
Changes in the rate of Earth's Spin
Changes in the magnitude of the angle of tilt
Changes in the orientation of the axis of rotation
Precession is a phenomenon that refers to the gradual and continuous change in the orientation of the Earth's rotational axis over long periods of time.
This shift in the orientation of the axis of rotation results in changes in the position of the celestial pole with respect to the stars, which causes a shift in the apparent position of stars over time. The precession of the Earth's axis is caused by the gravitational forces of the Sun, Moon, and other planets in the solar system.
Precession is characterized by changes in the magnitude of the angle of tilt, which causes changes in the rate of the Earth's spin. As the axis of rotation moves, it causes the length of the day to change over time. Additionally, deviations in the circularity of the orbit also affect the precession of the Earth's axis.
Precession is a significant phenomenon in astronomy and has been observed for thousands of years. It has important implications for studies of astronomy, geology, and climate change. For instance, precession affects the timing of the seasons and has a significant impact on the Earth's climate. It also affects the orientation of the Earth's magnetic field, which has important implications for navigation and communication systems.
In conclusion, precession is the gradual change in the orientation of the Earth's rotational axis, caused by the gravitational forces of the Sun, Moon, and other planets. It results in changes in the magnitude of the angle of tilt, changes in the rate of Earth's spin, and deviations in the circularity of the orbit. Precession has significant implications for various fields of study, including astronomy, geology, and climate change.
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Let's say someone is conducting research on whether people in the community would attend a pride parade. Even though the population in the community is 95% straight and 5% lesbian, gay, or some other queer identity, the researchers decide it would be best to have a sample that includes 50% straight and 50% LGBTQ+ respondents. This would be what type of sampling?
A. Disproportionate stratified sampling
B. Availability sampling
C. Snowball sampling
D. Simple random sampling
The type of sampling described, where the researchers intentionally select a sample with 50% straight and 50% LGBTQ+ respondents, is known as "disproportionate stratified sampling."
A. Disproportionate stratified sampling involves dividing the population into different groups (strata) based on certain characteristics and then intentionally selecting a different proportion of individuals from each group. In this case, the researchers are dividing the population based on sexual orientation (straight and LGBTQ+) and selecting an equal proportion from each group.
B. Availability sampling (also known as convenience sampling) refers to selecting individuals who are readily available or convenient for the researcher. This type of sampling does not guarantee representative or unbiased results and may introduce bias into the study.
C. Snowball sampling involves starting with a small number of participants who meet certain criteria and then asking them to refer other potential participants who also meet the criteria. This sampling method is often used when the target population is difficult to reach or identify, such as in hidden or marginalized communities.
D. Simple random sampling involves randomly selecting individuals from the population without any specific stratification or deliberate imbalance. Each individual in the population has an equal chance of being selected.
Given the description provided, the sampling method of intentionally selecting 50% straight and 50% LGBTQ+ respondents represents disproportionate stratified sampling.
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[amc10b.2020.14] as shown in the figure below, six semicircles lie in the interior of a regular hexagon with side length 2 so that the diameters of the semicircles coincide with the sides of the hexagon. what is the area of the shaded region ---- inside the hexagon but outside all of the semicircles?
Six semicircles lie in the interior of a regular hexagon with a side length of 2 so that the diameters of the semicircles coincide with the sides of the hexagon. The zone of the shaded locale is around 10.3923 square units.
We will approach this problem by first finding the region of the hexagon and after that subtracting the zones of the six semicircles from it. The zone of a customary hexagon with side length 2 can be found utilizing the equation:
Region of hexagon = (3√3/2) x side\(^{2}\)
Substituting the given esteem of side length, we get:
Area of hexagon = (3√3/2) x 2\(^{2}\) = 6√3
The range of a crescent is half the region of the comparing circle. So, the zone of each crescent is:
Range of semicircle = 1/2 x π x radius\(^{2}\) = 1/2 x π x 1^\(^{2}\)= π/2
There are six semicircles, so the whole range of the semicircles is:
Add up to the zone of semicircles = 6 x π/2 = 3π At long last, able to find the zone of the shaded locale by subtracting the region of the semicircles from the range of the hexagon:
Zone of shaded locale = Range of hexagon - Add up to a range of semicircles
= 6√3 - 3π
≈ 10.3923 thus, the zone of the shaded locale is around 10.3923 square units.
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Write the equation of a line through (2,4) and (-6, 8) in any form.
Answer:
Step-by-step explanation:
y=mx+c.... first find m(gradient/slope)
m=Y2-Y1/X2-X1
m=8-4/-6-2
m=4/-8
m=-1/2
Then find c
Take any point and fix in x and y
4=-1/2(2) +c
4=-1 +c
c=4+1=5
Therefore y=-1/2x+5
y+1/2x-5=0
what is the solution to the system of equations?
A. (-7, -6)
B. (-6, -7)
C. (0, 2)
D. (2, -5)
Answer: B.
Step-by-step explanation:
Given the graph below, what points would partition XY into segments with lengths having a ratio of 3:4?Select two correct answers.
A: ( 3, -3)
B: ( 1, 0)
C: ( -3, 6)
D: ( -1, 3)
Please show how you got the answers.
The point that divides a line segment into two equal halves is known as the midway.
How do you identify the point dividing the segment?We can use a formula that incorporates some of the slope of the line segment to get the point P that partitions the line segment suitably given a line segment AB and a partitioning ratio a/b. P is thus defined as (x1 + c(x2 - x1), y1 + c(y2 - y1)).
P(x1, y1) and Q are two things to consider (x2, y2). Finding the coordinates of the point R that divides PQ in the ratio m: n is necessary because PR/RQ = m/n. Given the ratio, the point R can either be outside of the segment PQ or between P and Q.
Two points on a line, for instance, equal one line segment; three points, three segments; five points, ten segments.
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What information do we need to know to determine the sample size (n) we need to estimate the mean with a given level of confidence
The three factors that need to be taken into account when determining the sample size are the margin of error, level of confidence, and standard deviation.
To determine the sample size required to estimate the mean with a given level of confidence, we need to consider three factors. The first factor is the margin of error, which is the maximum distance between the sample mean and the true population mean that can be tolerated and is denoted by E.
The second factor is the level of confidence, which is the probability that the true population mean lies within the margin of error of the sample mean. This is denoted by (1-α), where α is the level of significance. Therefore, the level of confidence is 1 - α.
The third factor is the population standard deviation (σ) or the variance (σ²). If the population standard deviation is not given, we can use the sample standard deviation as an estimate. However, if the population size is greater than 30 and the distribution is normal, the sample mean can be used to estimate the population mean. On the other hand, if the population size is less than or equal to 30, the sample mean can be used to estimate the population mean only if the population distribution is normal.
Therefore, it is crucial to consider the distribution of the population when deciding if the sample mean can be used to estimate the population mean.
In summary, the three factors that need to be taken into account when determining the sample size required to estimate the mean with a given level of confidence are the margin of error, level of confidence, and population standard deviation (σ) or the variance (σ²). It is essential to understand each of these factors to accurately determine the required sample size.
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2x + 7y = 11 and x + 3y = 5
Answer:
x=2 and y=1
Step-by-step explanation:
2x+7y=11 eqn(1)
x+3y=5 eqn(2)×2
multiplying and subtracting eqn(2) ×2 from eqn(1)
2x+7y=11
-2x-6y=-10
y=1
putting the value of y=1 in eqn(1)
2x+7y=11
or,2x+7×1=11
or,2x+7=11
or,2x=11-7
or,x=4÷2
=x=2
From the given equation, we get the value of x = 2 and y = 1.
How to estimate the value of x and y?2x + 7y = 11 ...........(1)
x + 3y = 5 ............(2)
Multiplying (2) × -2, then we get
-2(x + 3y = 5) = -2x-6y = -10 ........(3)
multiplying and subtracting (2) × -2 from (1), then we get
[-2x-6y = -10] - [2x + 7y = 11]
then, we get y = 1
Substituting the value of y = 1 from (1), then we get
Fron (1), we get 2x + 7y = 11
put the value of y = 1
2x + 7×1 = 11
2x + 7 =11
2x = 11 - 7
x = 4 ÷ 2
x = 2
Therefore, the value of x = 2 and y = 1.
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Arik invested $500 in a savings account that earns 6.25% interest compounded monthly. Assuming there are no other deposits or withdrawals, what is the total amount in his account after 4 years?
The total amount that would be found in the account after 4 years, would be $ 641. 69
How to find the total amount ?The total amount after 4 years in Arik's account can be found by the formula :
= A = Amount invested x ( 1 + r /n )ⁿ
The variables are:
Amount invested = $ 500
r = 6.25% = 0. 0625
n = 12
t = 4 years
The total amount is then :
A = 500 x ( 1 + 0. 0625 / 12 ) ^ ⁽¹² ˣ ⁴ ⁾
A = $ 641. 69
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the volume of a box is 96 cubic inches. the length is 8 inches more than the height. the width is 2 inches less than the height. find the dimensions of the box
The dimensions of the box are 12 inches by 2 inches by 4 inches.
Let's use variables to represent the dimensions of the box:
Let h be the height of the box (in inches).
Then, the length of the box is 8 inches more than the height, so it is h + 8.
The width of the box is 2 inches less than the height, so it is h - 2.
The volume of the box is given as 96 cubic inches, so we can set up an equation:
Volume = Length × Width × Height
96 = (h + 8) × (h - 2) × h
h = 4
Height: h = 4 inches
Length: h + 8 = 12 inches
Width: h - 2 = 2 inches
Therefore, the dimensions of the box are 12 inches by 2 inches by 4 inches.
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The diagram shows a scale drawing of a rectangular playground. The scale drawing is 1:500. Work out the premiere of the real playground. Give your answer in meters
The actual playground's perimeter is 1000 (x + y) meters, where x and y are the space's length and breadth.
What is perimeter of a rectangle?One of the key formulae for the rectangle could be regarded to be its perimeter. It is the entire length of the rectangle's outside perimeter.
The perimeter of a rectangle is defined as its length times its breadth.
Dimensions of a parallelogram = 2 × (length + width)
Given that, the scale drawing is 1:500
If the scale drawing playground has a length of x and a breadth of y, then the length and width of the playground, respectively,
are 500x and 500y.
The size drawing playground's perimeter = 2 × ( Length + width )
The size drawing playground's perimeter = 2 (x + y)
The actual playground's perimeter = 2 × ( Length + width )
The actual playground's perimeter = 2 × (500x + 500y)
= 2 × 500 (x + y)
The boundaries of the area itself = 1000 (x + y)
Therefore, the actual playground's perimeter is 1000 (x + y) meters, where x and y are the playground's length and breadth.
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The complete question is attached below,
Ray bd bisects angle abc. To prove angle abd and angle cbd are congruent using a proof by contradiction, what is the assumption statement that starts the proof? angle abd and angle cbd are adjacent angles. Angle abd and angle cbd are supplementary angles. Angle abd and angle cbd are not complementary. Angle abd and angle cbd are not congruent.
To prove angle abd and angle cbd are congruent using a proof by contradiction, the assumption statement that starts the proof is Angle abd and angle cbd are not congruent.
What is proof by contradiction?Proof by contradiction is a technique used in logic and mathematics to verify the truth or validity of a claim by demonstrating how presuming the proposition to be incorrect results in a contradiction.
A proof by contradiction first starts with the negation, or opposite of the hypothesis.
In context of the problem, the proof by contradiction will start by the opposite . Since we are to prove that angle abd and angle cbd are congruent, the opposite is Angle abd and angle cbd are not congruent.
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