The coordinates of point T is (9,-2)
Given that A is the midpoint of segment ST. midpoint A has coordinates (7,-1) and point S has coordinates ( 5,0 ) and asked to find the coordinates of the point T
Let's assume the coordinates of the point T as(a,b)
Midpoint formula for a line segment having endpoints (x1,y1) and (x2,y2)
Let's assume the midpoint as (X,Y)
(X,Y)=([tex]\frac{x1+x2}{2}[/tex],[tex]\frac{y1+y2}{2}[/tex])
Here the endpoints of the linesegment ST are S(5,0) and T(a,b) and the midpoint of the linesegment ST is A and has coordinates (7,-1).
⇒(7,-1)=([tex]\frac{5+a}{2}[/tex],[tex]\frac{b}{2}[/tex])
⇒7=[tex]\frac{5+a}{2}[/tex]⇒14=5+a⇒a=9
⇒-1=[tex]\frac{b}{2}[/tex]⇒b=-2
Therefore,The coordinates of point T is (9,-2)
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the sporting goods store sold 10 balls, 3 bats, and 2 bases for $99 on Monday. They sold 4 balls, 8 bats, and 2 bases for $78 on Tuesday. On Wednesday they sold 2 balls 3 bats and 1 base for 33.60. What is the cost of each individual item?
Answer:
ball: $8.00bat: $5.40base: $1.40Step-by-step explanation:
Given three relations between the costs of balls, bats, and bases, you want to find the cost of each.
10 balls + 3 bats + 2 bases = $994 balls + 8 bats + 2 bases = $782 balls + 3 bats + 1 base = $33.60SolutionSolving three linear equations in three unknowns can be accomplished easily by any number of calculators, apps, or spreadsheets. Here, we'll use an ad hoc solution.
Subtracting twice the third equation from the second, we have ...
(4 balls + 8 bats + 2 bases) -(2(2 balls + 3 bats + 1 base) = 78 -2(33.60)
2 bats = 10.80 . . . . . . . simplify
1 bat = 5.40 . . . . . . divide by 2
Subtracting the second equation from the first, we have ...
(10 balls +3 bats +2 bases) -(4 balls +8 bats +2 bases) = (99) -(78)
6 balls -5 bats = 21 . . . . . simplify
6 balls = 21 + 5(5.40) . . . . . add 5 bats and substitute their cost
6 balls = 48 . . . . . . . . simplify
1 ball = 8.00 . . . . . . . divide by 6
Using the last equation, we can find the cost of 1 base.
1 base = 33.60 -2 balls -3 bats = 33.60 -2(8.00) -3(5.40)
1 base = 1.40
The costs are ...
1 ball: $8.00
1 bat: $5.40
1 base: $1.40
Y is inversely proportional to the square of x. if y=3 when x=3 then y =1/3 when x is _______. help me isuck at proportionals
16 X +12 over two equals 100
The value of x in the given equation i.e [tex]\frac{16x+12}{2}=100[/tex] is 11.825
Given that equation [tex]\frac{16x+12}{2}=100[/tex] and asked to evaluate the value of x in the given equation
⇒ [tex]\frac{16x+12}{2}=100[/tex](given equation)
To solve the given equation, need to use the various mathematical operations i.e division and subtraction)
⇒8x+6=100 ( using the operation division)
⇒8x=100-6 (using the operation subtraction)
⇒8x=94
⇒x=[tex]\frac{94}{8}[/tex](using the operation division)
⇒x=11.825
By using the mathematical operations i.e division and subtraction the value of x came as 11.825
⇒Therefore, The value of x in the given equation i.e [tex]\frac{16x+12}{2}=100[/tex] is 11.825
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PLEASE HELPPPP. WILL GIVE BRAINLIEST AND 5 STR RATINGGG
The data set represents the heights, in centimeters, of ten model bridges made for
an engineering competition.
13
14
14
16
16
16
16
18
19
What is the MAD?
According to the given information the mean(MAD) of the data is = 16.
What is the mean mathematical term?The mean is the average of a set of variables in mathematics and statistics. The mean can be calculated in a variety of ways, such as the simple arithmetic mean (add the numbers and divide the sum by the number of observations), geometric mean, and harmonic mean.
According to the given data:(13 ,14 ,14, 16, 16, 16, 16, 18, 18, 19)
adding the numbers together.
(13 + 14 + 14 + 16 + 16 + 16 + 16 + 18 + 18 + 19)
= 160.
Then divide it by the amount of numbers. Which is ten.
160 divided by 10 = 16.
—MAD—
Subtract each value from the mean.
(|13-16| + |14-16| + |14-16| + |16-16| + |16-16| +|16-16| + |16-16| + |18-16| + |18-16| + |19-16|)
Negative numbers are unimportant; everything should be positive.
(3 + 2 + 2 + 0 + 0 + 0 + 0 + 2 + 2 + 3)
= 16.
16 divided by 16 (amount of numbers).
MAD = 1
–IQR—
Separate both sides in half.
(|13 14 14 16 16| ,|16 16 18 18 19|)
Take the middle value of each group.
Group1.
|13 14 (14) 16 16|
This one is 14.
Group 2:
|16 16 (18) 18 19|
This one is 18.
Subtract (number from group 2) 18 from (number from group 1) 14.
18 - 14 = 4
IQR = 4.
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A new decreased by 16 is equal to the number times 18
Answer:
Whats 'new'?
Step-by-step explanation:
The variance of a sample of 196 observations equals 784. find the standard deviation of the sample. 14
The standard deviation of the sample = 28.
Defining standard deviation:An indicator of how much a set of values vary or are dispersed is the standard deviation. When the standard deviation is low, the values tend to fall within a narrow range of the set's mean, while when it is high, the values tend to deviate from that mean more.
Does a high standard deviation make sense?The standard deviation is a tool for calculating market volatility or the variation in asset prices from their mean. A high standard deviation indicates that prices are moving erratically and that an investment will indeed be risky. Low standard deviation indicates stable prices and low risk for investments.
According to the given data:A specimen of 196 observations has a variance of 784. determine the sample's standard deviation.
variance = 784
we have to find the stranded deviation:
stranded deviation = √variance
= √784
= 28
The standard deviation of the sample = 28.
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X
1
y=ax²+bx+c 1.75
B
2
6
3
11.75
4
19
5
27.75
Answer:
ydiyetd5dtd7rowo47do7tso47syjfzj4tsuryusu6eaitddtsie6i64so7rso6ro6zoyds7orsoslu4sp
The value of 5x +3=20
Answer:
x = 17/5
Step-by-step explanation:
5x + 3 = 20
5x + 3-3 = 20 - 3
5x = 17
divide both by 5
Which relation is also a function? 25pts!!!!!!!!
machine a, working alone at its constant rate, produces x pounds of peanut butter in 12 minutes. machine b, working alone at its constant rate, produces x pounds of peanut butter in 18 minutes. how many minutes will it take machines a and b, working simultaneously at their respective constant rates, to produce x pounds of peanut butter?
It will take 7.2 minutes for machines a and b, working simultaneously at their respective constant rates, to produce x pounds of peanut butter.
Rule #1: If a person can finish an entire job in k hours, then the person can complete 1/k of the job in one hour.
For example, if it takes Sue 5 hours to accomplish a task, she can complete 1/5 of the task in one hour. In other words, her hourly rate is one-fifth of the job's.Rule #2: If a person finishes a/b of a job in one hour, it will take b/a hours to finish the entire job.
For example, if Sam can finish 1/8 of the job in one hour, it will take him 8/1 hours to finish the job.Similarly, if Joe can finish 2/3 of the job in one hour, it will take him 3/2 hours to finish the job.Machine A finishes the job in 12 minutes.
Using Rule #1, machine A wraps up one-twelfth of the job in 1 minute.Machine B finishes the job in 18 minutes.
So, according to Rule #1, machine B finishes 1/18 of the job in 1 minute.When their efforts are combined, they can fulfill (1/12 + 1/18) of the job in 1 minute.
1/12 + 1/18 = 3/36 + 2/26 = 5/36So, when the machines work together, they can complete 5/36 of the job in 1 minute.Using Rule #2, the time required to complete the entire job = 36/5 minutes.
Therefore, 36/5 minutes or 7.2 minutes is the correct answer.
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please help with the question below asap !! thank you in advance !!
A magnetic levitation train travels between the city center of shanghai china and pudong international airport. the trip covers 30 kilometers i'm just 8 minutes. what is the average speed of the train in miles per hour
Average speed of the train as it covered 30 kilometers in 8 minutes is equal to 139.8 miles per hour.
As given,
Total distance= 30 kilometers
Total time taken = 8 minutes
1 kilometer = 0.62137 miles
30 kilometers = 30 × 0.62137
= 18.641 miles
8 minutes = ( 8 / 60) hour
Average speed= total distance / total time taken
= 18.641 / (8/60)
= 139.8 miles/ hour
Therefore, average speed of the train as it covered 30 kilometers in 8 minutes is equal to 139.8 miles per hour.
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will mark branliest if right!
We need to know about rate of change to solve the problem. The rate of change of population between 2002 and 2004 is -6.098% . The rate of change of population between 2002 and 2006 is -4.88%
The rate of change of something can be calculated by dividing the difference between the final amount and the initial amount by the initial amount. Rate of change is usually calculated as a percentage. We can calculate rate of change of population per year or between any two years. In this question we need to find the rate of change between 2002 and 2004 and also between 2002 and 2006. The initial population in 2002 is 82 and in 2004 it is 77.
rate of change between 2002 and 2004=[tex]\frac{77-82}{82}[/tex]x100=[tex]\frac{-5}{82}[/tex]x100=-6.098%
rate of change between 2002 and 2006=[tex]\frac{78-82}{82}[/tex]x100=[tex]\frac{-4}{82}[/tex]x100=-4.88%
Therefore the rate of change of population between 2002 and 2004 is -6.098% and the rate of change of population between 2002 and 2006 is -4.88%, the rate of change is negative because the population decreases.
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Find true square numbers that add to 125.There are two ways to do this.
Please tell me those two ways!
Answer:
One solution is 64, 36, and 25
Another method is 25+36+64
Step-by-step explanation:
Molly's dad is five times as old as Molly is. Her dad is also as old as the sum of the ages of Molly and her older twin brothers, Dwight and Jim. The twins are both 12 years old.
How old is Molly's dad?
Answer:
30 years old
Step-by-step explanation:
5x = x + 2(12)
5x = x + 24
4x = 24
x = 6
5(x)
5(6) = 30
Andrea sells photographs at art fairs. She prices the photos according to size: small photos cost $10, medium photos cost $15, and large photos cost $40. She usually sells as many small photos as medium and large photos combined. She also sells twice as many medium photos as large. A booth at the art fair costs $300. If her sales go as usual, how many of each size photo must she sell to pay for the booth?
Answer: she must sell 6 large photos and 6 small photos
Step-by-step explanation: and how I knew that is I multiplied 6 40 times and that gives you 240 and if you multiply 6 ten times that gives you 60 so 240 plus 60 is $300
________ is concerned with making predictions about a population from analyzing a sample or through observations.
Inferential statistic is concerned with making prediction about a population from analyzing a sample or through observation.
Here,
We have to find the concerned with making prediction about a population from analyzing a sample or through observation.
What is Inferential statistic?
Inferential statistics is used in measurements from the sample of subjects in the experiment to compare treatment groups and to make generalizations about the larger population of subjects.
Now,
Inferential statistic is concerned with making prediction about a population from analyzing a sample or through observation.
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In a standard normal distribution the probability of z being less than or equal zero is?
In a standard normal distribution the probability of z being less than or equal zero is 0.5.
What is standard normal distribution?The standard normal distribution, also known as the z-distribution, is a type of normal distribution with a mean of zero and a standard deviation of one.
Some key features regarding the standard normal distribution are-
Any normal distribution's values can be standardized by converting them to z-scores. Z-scores indicate how so many standard deviations each value is from the mean.Transforming a normal distribution to a z-distribution enables you to compute the likelihood of specific values occurring and compare various sets of data.Every normal distribution is a stretched or squeezed version of the standard normal distribution that has been moved horizontally right or left.The mean determines the center of the curve. Increasing the mean shifts the curve to the right, whereas decreasing it shifts the curve to the left.The standard deviation either stretches or compresses the curve.Now, as per the given question;
The mean of a standard normal distribution is 0.
Because this distribution is symmetric, the median is also equal to 0.
So, P ( z ≤ 0 ) = P ( z ≤ median ) = 0.5
Therefore, the standard normal distribution the probability of z being less than or equal zero is 0.5.
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a farmer has feet of fenced area available to enclose a rectangular area bordering a river. if no fencing is required along the river, find the dimensions of the fenced area that will maximize the area. what is the maximum area?
The dimensions of the fence that will maximize the area are-
Length = 1350 ftWidth = 675 ftMaximum area = 911250 sq. ftWhat is rectangular area?Multiply the width by the height of a rectangle to find its area. If we know the lengths of two sides of a rectangle, we can calculate the height and width.
Now, as per the question;
Let 'L' be the length and,
'W' width of the rectangular
Also, let the river is running along L.
Perimeter to be covered by fence:
P = L + 2W
2700 = L + 2W
Thus, L= 2700 - 2W
Substitute the value of L in the area
Area, A= LW
A = (2700 - 2W)W
A = 2700W - 2W²
This is a quadratic equation;
Now, the vertex of the rectangular with the greatest area will have the greatest width.
(W,A), where W= -b/2a where b = 2700 and a = -2
Solve for W,
W = -2700/2×(-2)
= -2700/-4
W = 675 ft.
Substitute the value of W in L to find it.
L= 2700 - 2W
= 2700 - 2×675
L = 1350 ft
Thus, the maximum area will become;
Maximum area A = 1350 × 675
Maximum area A = 911250 sq. ft
Therefore, the maximum area is found to be 911250 sq. ft
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The complete question is-
A farmer has 2700 feet of fencing available to enclose a rectangular area bordering a river. if no fencing is required along the river, find the dimensions of the fence that will maximize the area. what is the maximum area
SOLVE SOLVE SOLVE SOLVE
The given expression is simplified as 6x+3y³. Therefore, option A is the correct answer.
The given expression is [tex]\frac{18x^{3}y^{2}+9x^{2} y^{5}}{3x^{2} y^{2} }[/tex].
We need to divide and simplify the given expression.
How to divide binomial by monomial?Division of polynomials by monomial means dividing the polynomials which are written as numerators by a monomial which is written as denominators to find their quotient.
Split the denominators to each numerator and cancel out the common terms and simplify.
Now, [tex]\frac{18x^{3}y^{2}+9x^{2} y^{5}}{3x^{2} y^{2} }=\frac{18x^{3}y^{2}}{3x^{2} y^{2}} +\frac{9x^{2} y^{5}}{3x^{2} y^{2}}[/tex]
=6x+3y³
The given expression is simplified as 6x+3y³. Therefore, option A is the correct answer.
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Sal is selling two types of printed socks.he sells type a at r45 a pair.he sells type b at r30 if he sold 16 pairs in total,and had a total income of r585,how many pairs of sock did sal sell
Sal sold 7 pairs of type a socks and 9 pairs of type b socks
Let the number of type a socks sold by Sal be x
Let the number of type b socks sold by Sal be y
The selling price of type a socks = 45
The selling price of type b socks = 30
Total pairs sold = 16
Total income = 585
Therefore, the equations will be
x + y = 16-------(1)
45x + 30y = 585--------(2)
Multiplying equation (1) by 30 we get
30x + 30y = 480 ------(3)
Equating equations (2) and (3) we get,
15x = 105
x = 7
Putting x = 7 in (1) we get
y = 9
Sal sold 7 pairs of type a socks and 9 pairs of type b socks
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Need help!!
√18 is between _____.
4.5 and 4.6
8.9 and 9.1
4.2 and 4.3
3.1 and 3.2
Which of the following is equivalent to √52?
4√13
13√2
2√13
13√4
thank you ! :)
Answer:
√18 is between 4.2 and 4.3
√52 is equivalent to 2√13
......
there are 126 students.
2/9 of them are taking geometry. 3/7
of the students taking
geometry are male.
how many female students are taking geometry?
Out of 126, 2/9 of them are taking geometry , 3/7 of the students are males ,number of female students taking geometry are 16.
As given in the question,
Total number of students = 126
Number of Students taking geometry = (2/9) × 126
= 28
Number of male students taking geometry= (3/7) × 28
= 12
Number of female students taking geometry= 28 - 12
= 16
Therefore, out of 126, 2/9 are taking geometry , 3/7 are males ,number of female students taking geometry are 16.
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A rectangular field is 35 m longer than it is wide. The length of the fence around
the perimeter of the field is 290 m.
a. 1+35= w
b.
1=w+35
21+2w=290
21+2w=290
C.
1=w+35
1+w=290
d. 1=w+35
Iw=290
Answer:
length = 90
width = 55
Step-by-step explanation:
Let W = width.
Let L = length.
L = W + 35
P = 2(W + L)
290 = 2(W + W + 35)
4W + 70 = 290
4W = 220
W = 55
L = W + 35 = 55 + 35 = 90
EASY POINTS PLEASE HELP if you can answer bother that would be nice but u can answer one if u want
Answer:
#9: B
#10: D
Step-by-step explanation:
#9 had biggest scientific notaiton
#10 had smallet scientific notaiton and numbeer
Answer:
9. B
10. D
Step-by-step explanation:
a. 5406000000
b. 56040000000
c. 550400000
d. 6503000000
a. 900000
b. 120000
c. 3010000000
d. 19010
When the sample of participants is reflective of the characteristics of the population, it is said to be?
It is claimed that the sample of participants is generalizable since it reflects the characteristics of the population.
What is Generalizability? Simply said, generalizability is a measurement of the applicability of a study's findings to a larger population or set of circumstances. It is considered that a study has strong generalizability if its findings may be applied broadly to a wide range of individuals or circumstances. Researchers use generalizability in a scholarly setting. It can be characterized as the extrapolation of findings and recommendations from a study done on a sample population to the entire population.To learn more about generalizable, refer to:
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Fice card are dealt fom a deck. what is the probability of getting any two distinct face values occuring axactly twice?
The likelihood of any two different face values occurring exactly twice is 0.0475.
Describe probability using an example?
The probability of an event is a number between 0 and 1, with 0 approximately denoting impossibility and 1 denoting certainty.An event's probability grows with its likelihood of happening. Tossing a fair (impartial) coin provides a simple illustration.Two pairs
two pairs = 13C2 *4C2 * 4C2 * 11C1 * 4C1 = 123552
P( two pairs) = 123552/2598960 = 0.0475
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The complete question is -
In a poker game, five cards are dealt at random from an ordinary deck of 52 playing cards. Find the probability of gettingtwo pairs (any two distinct face values occurring exactly twice)
A Lilly pond starts with 1 Lilly pad and every day the amount doubles. How many Lilly pads are in the pods after d days
After d days the total number of lily in the ponds are . It is an simple example of geometric progression.
The formula to calculate the sum of the first n terms of a geometric progression is given by: Sn = a[(rn – 1)/(r – 1)]. Where r is the common ratio and a is the first number of the progress.
Lilly pond starts with 1 Lilly pad, so a = 1and every day amount doubles, so r = 2. Total number of day is d, so n = d.
Therefore, the total number of lilly in the pond is = 1x[(2d-1)/(2-1)] = 2d-1.
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A jar has 5 red candies, 4 orange candies, 6 green candies, and 7 blue candies. What is the probability you will randomly pull an orange candy? Find the fraction, decimal, and percentage?
Answer:
2/11, 0.18, 18%
5 + 4 + 6 + 7 = 22
and 4 of those are 4 orange candies
4/22 = 2/11