The midpoint of the line AN is (3(1/2) , -1).
What is midpoint?
The midpoint is located halfway between the two end points. Its x and y values are in the middle of the two x and y values.Add both "x" coordinates, divide by 2, and add both "y" coordinates, divide by 2 to calculate it.Midpoint of the line(x , y) = (x₁ + x₂ / 2) , (y₁ + y₂ / 2)
x₁ = 2, x₂ = 5
y₁ = -3, y₂ = 1
So,
Midpoint of the line(x , y) = (2+5/2) , ((-3)+1 / 2)
= (7/2 , -2/2)
= (7/2, -1)
We can write 7/2 as 3(1/2)
Hence, the midpoint of the line AN is (3(1/2) , -1)
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Carlos earns 44.55 in 9 hours. Maggie earns 51 in 12 hours
By taking some products, we can see that if both of them work for 20 hours each, they will earn a total of 184 dollars.
How much do Carlos and Maggie earn if they work for 20 hours?After a small search online I found that we want to find how much will they earn (together) if both of them work for 20 hours.
We know that Carlos earns $44.55 in 9 hours, then the amount that he wins per hour is:
C = $44.55/9h
In 20 hours he will earn 20 times that, so the amount that Carlos earns in 20 hours is given by the product:
Carlos = 20h*($44.55/9h )
Similarly, Maggie earns per hour:
M = ($51/12h)
And in 20 hours, she will win:
Maggie = 20h*($51/12h)
The total amount that they earn together is:
20h*($44.55/9h ) + 20h*($51/12h) = $184.
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There are 18 boys and 12 girls in a math class . What is the ratio of girls to total students
Answer:
The ratio of girls to total students is 12:30, which can be simplified to 2:5.
Step-by-step explanation:
You can express the ratio in different ways by using the same numbers, for example, you could say that for every 2 girls, there are 5 total students, or that for every 5 total students, 2 of them are girls.
Find the time difference between 2:25am and 6:10am.
Answer:
3 hours and 45 minutes
Step-by-step explanation:
ggggggggggggg
Look at lines PR and ST shown. Suppose a dilation with a scale factor of 2 and a center of dilation at point P is performed on line QR and ST.
Which statements are true about the resulting images Q'R' and S'T'? Select ALL that apply.
1. True (The center of dilation lies on the segment)
2. False (The center of dilation does not line on the segment)
3. False (The center of dilation lies on the segment)
4. True (Since the segments are not collinear as a result of the dilation, they are parallel)
5. True (Scale factor is 2)
6. False (Scale factor is 2)
7. True (by definition)
8. True (by definition)
Bill had 15 coins in his pocket, some quarters and the rest, dimes. If he had
$3.30 in his pocket, how many were quarters and how many were dimes?
Answer:
Step-by-step explanation:
So bill haves 12 quarters and 3 dimes
(Use Excel) The See Me marketing agency wants to determine if time of day for a television advertisement influences website searches for a product. They have extracted the number of website searches occurring during a one-hour period after an advertisement was aired for a random sample of 30 day and 30 evening advertisements. A portion of the data is shown in the accompanying table. Use Table 2. ay Searches Evening Searches 96670 118379 97855 111005 96368 100482 98465 122160 98550 117158 101623 101556 95753 98875 104384 102036 99475 110932 103780 101963 97608 123513 99859 102195 101764 111388 97287 116287 98066 119660 95390 112553 96125 98245 96767 98062 99494 101657 102498 106451 99260 104247 102020 105507 102468 118339 96543 109847 102491 123996 96557 122545 102627 113248 95048 104941 96969 111829 95103 114721 Click here for the Excel Data File
a) The mean number of website searches differs between the day and evening advertisements based on this hypothesis:
[tex]H_{0} :[/tex] μ[tex]_{x}[/tex]-μ[tex]_{y}[/tex] = 0
[tex]H_{a} :[/tex] μ[tex]_{x}[/tex]-μ[tex]_{y}[/tex] ≠ 0
The null hypothesis in the question states that the mean number of website searches does not differ between the day and evening advertisements and the alternative hypothesis states that the mean number of website searches differs between the day and evening advertisements. It can be written as:
[tex]H_{0} :[/tex] μ[tex]_{x}[/tex]-μ[tex]_{y}[/tex] = 0
[tex]H_{a} :[/tex] μ[tex]_{x}[/tex]-μ[tex]_{y}[/tex] ≠ 0
b-1) From the below excel output screenshot the t-test statistical value is I -0.3476.
b-2) From the below excel output the critical t value comes as 2.0017. So, the rejection region includes all the values greater than 2.0017 and less than -2.0017.
c) The calculated t-statistic value is not falling in the rejection region. So we do not reject the null hypothesis.
Do not reject [tex]H_{0}[/tex]. At the 5% significance level, we conclude the mean number of website searches not differ between the day and evening advertisements.
(The below excel screenshot shows the customized formula and the output which is required to find the values required to test the hypothesis.)
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Calculate the volume of the figure. Use 3.14 for π
4 Which trinomial is equivalent to
3(x-2)²-2(x-1)?
1) 3x²-2x-10
2)
3x² - 2x - 14
3)
3x² - 14x+10
4)
3x²-14x+14
Answer: 4) 3x²-14x+14
Explanation:
3(x-2)²-2(x-1)Use the binomial theorem (a−b)² = a² - 2ab + b² to expand (x-2)².
3(x²-4x+4)-2(x-1)Use the distributive property to multiply 3 by x²-4x+4.
3x²-12x+12-2(x-1)Use the distributive property to multiply −2 by x−1.
3x²-12x+12-2x+2Combine −12x and −2x to get −14x.
3x²−14x+12+2Add 12 and 2 to get 14.
3x²-14x+14It is 3x²+14x+14, the trinomial equivalent to 3(x-2)²-2(x-1). OPTION 4.
Four apples and three bananas cost £4.48
Three apples and four bananas cost £4.76
Work out the cost of an apple and the cost of a banana.
Answer:
To solve this problem, we can set up a system of two equations to represent the given information:Let A be the cost of an apple and B be the cost of a banana.Then the first equation is: 4A + 3B = 4.48
The second equation is: 3A + 4B = 4.76To find the values of A and B, we can solve this system of equations using substitution or elimination.Using substitution, we can solve for A in the first equation and substitute that expression into the second equation:4A + 3B = 4.48
A = (4.48 - 3B)/4Substituting this expression for A into the second equation gives:3((4.48 - 3B)/4) + 4B = 4.76
3(4.48 - 3B) + 4B = 4.76
13.44 - 9B + 4B = 4.76
4.44 - 5B = 4.76
-5B = -0.32
B = 0.064Now that we have found the value of B, we can substitute it back into the first equation to find the value of A:4A + 3(0.064) = 4.48
4A + 0.192 = 4.48
4A = 4.288
A = 1.072Therefore, the cost of an apple is £1.072 and the cost of a banana is £0.064.
Step-by-step explanation:
Answer:
The answer is below
explain how you determined which distribution to use. the t-distribution will be used because the samples are independent and the population standard deviation is not known. the standard normal distribution will be used because the samples are independent and the population standard deviation is known
You must use the t-distribution table when working problems when the population standard deviation (σ) is not known and the sample size is small (n<30). General Correct Rule: If σ is not known, then using t-distribution is correct. If σ is known, then using the normal distribution is correct.
What is t-distribution and normal distribution ?Normal distribution, also known as the Gaussian distribution, is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.
In graphical form, the normal distribution appears as a "bell curve".
The normal distribution is the proper term for a probability bell curve.
In a normal distribution the mean is zero and the standard deviation is1. It has zero skew and a kurtosis of 3.
Normal distributions are symmetrical, but not all symmetrical distributions are normal.
The t-distribution describes the standardized distances of sample means to the population mean when the population standard deviation is not known, and the observations come from a normally distributed population.
Therefore,
You must use the t-distribution table when working problems when the population standard deviation (σ) is not known and the sample size is small (n<30). General Correct Rule: If σ is not known, then using t-distribution is correct. If σ is known, then using the normal distribution is correct.
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Quick I need help pleaseeeeeeee "What is the sum of all interior angles of a 28-sided regular polygon?"
5,040°
4,680°
180°
167°
The sum of all interior angles of a 28-sided regular polygon is 4680°.
What is a polygon ?
The definition of a polygon is a closed, two-dimensional, plane shape created by connecting three or more line segments. During our study of geometry, polygons are a common sight.
Poly, which means "many," and gon, which means "angle," make up the Greek word "Polygon." Polygons of many kinds can be seen all around us. For instance, a honeycomb is shaped like a hexagon.
An n-sided polygon's inner angle measurements added together equal to (n-2)180°. As a result, for a polygon of 28 sides, the sum of the interior angle measurements is 26(180°) = 4680°.
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Answer:
b) 4,680
Step-by-step explanation:
hope this helps
please help , will give brainlest
Answer:
20o
Step-by-step explanation:
Angle sum property of triangle states that the sum of interior angles of a triangle is 180o.
so 25 + 135 + ? = 180
? = 180 - 25 - 135
? = 20
Given (x – 7)2 = 36, select the values of x. x = 13 x = 1 x = –29 x = 42
The values of x in the equation are (a) x = 13 and (b) x = 1
How to determine the values of x for the equation?From the question, we have the following parameters that can be used in our computation:
(x - 7)2 = 36
This equation when expressed properly is
(x - 7)² = 36
Take the square roots of both sides of the equation
So, we have the following representation
x - 7 = ±6
Add 7 to both sides of the equation
This gives
x = 7 ± 6
Evaluate the sum and the difference
x = 1 and 13
Hence, the solutions are (a) and (b)
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the amount of time it takes hugo to solve a rubik's cube is continuous and uniformly distributed between 4.5 minutes and 12.5 minutes. what is the probability that it takes hugo less than 8 minutes to solve a rubik's cube?
The probability that hugo will solve rubik's cube in less than 8 minutes is 0.4375.
We have given that,
the amount of time it takes hugo to solve a rubik's cube is continuous and uniformly distributed between 4.5 minutes and 12.5 minutes.
i.e. a = 4.5 and b = 12.5
The probability that we find a value of X lower than x is given by the f
P(X < x) = [tex]\frac{x-a}{b-a}[/tex]
We have to find probability that it takes hugo less than 8 minutes to solve rubik's cube.
Therefore
P(X < 8) = [tex]\frac{8-4.5}{12.5-4.5}[/tex]
= [tex]\frac{3.5}{8}[/tex]
P(X < 8) = 0.4375
Hence the probability that it takes hugo less than 8 minutes to solve a rubik's cube is 0.4375%.
The uniform continuous distribution is one of the simplest probability distributions in statistics. Is is a continuous distribution, this means that it takes values within a specified range. A continuous uniform distribution takes values in a range [a,b].
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help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The measure of the two sides of a triangle are 20 and 15 what are the possible values for the 3rd side see picture below
The possible value of 3rd side is x ≤ 35.
What is a triangle?
A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes. Triangle ABC is the designation for a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear produce a distinct triangle and a distinct plane.
Given that the length of two sides of a triangle are 20 and 15.
Triangle inequality theorem:
The sum of two sides of a triangle is always greater than the third side.
The of two sides of the triangle is (20 + 15) = 35.
According to triangle inequality theorem,
The third side of the triangle must be less than 35.
Assume that the length of the third side is x.
Therefore, x ≤ 35.
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Given that ABCD is a rhombus, what is the value of x?
A. 29
B. 13
C. 51.5
D. 34
E. 45
F. Cannot be determined
Given that ABCD is a rhombus, the value of x is 29. Option A
Describe the rhombus.A rhombus is a parallelogram having four equal sides and, occasionally, one without any right angles.
A rhombus's diagonals are perpendicular to each other.
How to find the value of xsum the equation to 180
x + 3x -26 + 90 = 180
4x = 180 - 90 + 26
4x = 116
We have to divide through the equation by 4 in order to get the value of x
4x / 4 = 116 / 4
x = 29
Hence the value of x in the given rhombus is 29
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Answer:29 is the answer
Step-by-step explanation:
a basketball player claims to make 47% of her shots from the field. we want to simulate the player taking sets of 10 shots, assuming that her claim is true. a total of 25 repetitions of a simulation were performed. the number of makes in each set of 10 simulated shots was recorded on the dotplot as shown below. suppose this player attempts 10 shots in a game and makes only 3 of them. does this provide convincing evidence that she is less than a 47% shooter?
Since the probability is 33% which is less than 47% as claimed by the basketball player, it can be concluded that there is convincing evidence that she is less than a 47% shooter.
It is given to us that -
A basketball player claims to make 47% of her shots from the field
The player takes sets of 10 shots
Assuming that her claim is true, a total of 25 repetitions of a simulation were performed
The number of makes in each set of 10 simulated shots was recorded on the dot plot
We have to suppose this player attempts 10 shots in a game and makes only 3 of them.
For the simulation of the player taking sets of 10 shots, we have to determine if we have enough convincing evidence that she is less than a 47% shooter.
From the given information, the approximate probability of finding out that a 47% shooter makes only 3 of the 10 attempted shots can be determined as -
P (x = 3) = 3/10 = 0.33 = 33%
Since the probability is 33% which is less than 47% as claimed by the basketball player, it can be concluded that there is convincing evidence that she is less than a 47% shooter.
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for the 2015 general social survey, a comparison of females and males on the number of hours a day that the subject watched tv gave the following results.
According to the test 0 is not plausible value for the difference between the population means.
What is population mean?
There are various mean types in mathematics, particularly in statistics. Each mean serves to summarize a specific set of data, frequently to help determine the overall significance of a specific data set.
We have
n1 = 504, x f = 3.13
n2 = 400, x m = 2.87
(a) Hypothesis: H0: μf = μm V/s H1: μf ≠ μm
Yes, because according to the test 0 is not plausible value for the difference between the population means.
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Complete question:
Complete question is attached below.
it is due tonight help!
There are 3 dimes and 12 nickels
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given,
let x = the number of dimes
then 4x = the number of nickels =y
0.05(4x) = the value of the nickels
0.10x = the value of the dimes
Since the total value of the coins is $0.90 we can write the equation:
0.05(4x) + 0.1x = 0.90
0.2x + 0.1x = 0.90
0.3x = 0.90
Divide both sides by 0.3
x = 3
Hence, there are 3 dimes and 12 nickels
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8/6 + (-9/5) simplest answer
Answer:
-7/15
Step-by-step explanation:
-3$8(47#+$'++#$)3!_+$7$jrjdjd
Answer:
- 7/15
Step-by-step explanation:
Must convert to a common denominator to add or subtract fractions
I'll use 30
8/6 = 40/30
-9/5 = -54/30
(40-54) /30 = -14/30 = - 7/15
the function g is defined by g(x) = 3 sin ( 2x + 1 ) - 1 what is the range of g?
how can i know?
Answer:
[-4,2] is the range
Step-by-step explanation:
A parent function of sine is known to have range of -A ≤ y ≤ A where A stands for amplitude.
Therefore, we would have the range:
[tex] \displaystyle{ - 3 \leqslant g(x) \leqslant 3}[/tex]
But since there's a vertical shift of -1, we have to subtract -1 from both -3 and 3.
[tex] \displaystyle{ - 4 \leqslant g(x) \leqslant 2}[/tex]
Therefore, the range of function is [-4,2]
Please respond quick!!!
I think that for a its 1.12 and for b its 39424
100 + 12 = 112
112/100 = 1.12
35200 * 1.12 = 39424
one apple and six bananas cost £2.70
one apple and eight bananas cost £3.50
Work out the cost of an apple and a banana
PLSSS HELP TYSM
Answer:
An apple costs 0.30 pounds and a banana costs 0.40 pounds.
Step-by-step explanation:
Let's think of apples as x and bananas as y.
Using the given information, you can write two equations.
[tex]x+6y=2.70[/tex]
[tex]x+8y=3.50[/tex]
x can also be written as
[tex]x=2.70-6y[/tex]
We can plug this equation into the second one to solve for y, or the cost of a banana.
[tex](2.70-6y)+8y=3.50[/tex]
[tex]2y=0.8[/tex]
[tex]y=0.4[/tex]
Now that we know the cost of a banana, we can go back to the first equation and solve for x, or the cost of an apple.
[tex]x+6(0.4)=2.70[/tex]
[tex]x=0.30[/tex]
Therefore, an apple costs 0.30 pounds and a banana costs 0.40 pounds.
A school has a pep band, a sports band, a marching
band, and a concert band. In each band, there are
2 trombones for every 5 trumpets. Complete the table
for the bands.
5 Trumpets
10 Trumpets
8 Trombones
6 Trombones for 15 Trumpets
Cylindrical paper dryerse are used in pulp and paper mills. One dryer has diameter 1.5m and length 2.5m.
What is the area of the curved surface of this dryer?
The area of the curved surface of the dryer is 11.775m
What is the cylinder?The three-dimensional form of a cylinder is made up of two parallel circular bases connected by a curving surface. The right cylinder is created when the centers of the circular bases cross each other. The axis, which represents the height of the cylinder, is the line segment that connects the two centers.
What are the examples of cylinders?A cylinder is a three-dimensional solid object with two bases that are identically circular and are connected by a curving surface that is located at a certain height from the center. Real-world examples of cylinders are toilet paper rolls and cold beverage cans.
We know, the formula for curved surface of cylinder is 2pirh
putting the desired value in the equation we get
11.775m
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Kaya can ride her bike 3mi/h faster than Josh can ride his bike. If Kaya and Josh ride their bikes at the same time, Kaya will travel 60 miles and Josh will travel 12 miles less. How fast can Josh and Kaya ride their bikes?
On solving the given question, by the equation, A riding 48 mi at 8 mph takes 6 hours, which indeed is 3 hours longer .A riding 48 mi at 8 mph takes 6 hours, which indeed is 3 hours longer.
What is equation?An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated by the symbol "equal."
J can ride his bike 8 mph faster than A can ride. It takes A 3 hours longer than J to ride 48 miles. How fast can J ride?
Let r = rate that J rides, in miles per hour.
Then rate that A rides is (r – 8).
distance = rate * time
time = distance/rate
Time taken by J to ride 48 miles = 48/r.
Time taken by A to ride 48 miles = 48/(r – 8).
But A's time is 3 hours more than J's time.
48/(r – 8) = 3 + 48/r
Solve that for r.
48/(r – 8) = 3r/r + 48/r
48/(r – 8) = (3r + 48)/r
Multiply both sides by (r – 8)r.
[tex]48(r) = (3r + 48)(r - 8)\\ 48r = 3r2 -24r + 48r -384\\ 0 = 3r2 - 24r -384\\ 0 = r2 -8r - 128\\ 0 = (r -16)(r + 8)[/tex]
So r = 16 mph or r = –8 mph.
J riding 48 mi at 16 mph takes 3 hours.
A riding 48 mi at 8 mph takes 6 hours, which indeed is 3 hours longer.
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Find AB in simplest form, if A(-3, 4) and B(4, 7).
Answer: AB≈7.62 units
Step-by-step explanation:
A(-3,4) B(4,7)
[tex]\boxed {L=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} }\\\\x_1=-3\ \ \ \ x_2=4\ \ \ \ y_1=4\ \ \ \ y_2=7[/tex]
Hence,
[tex]AB=\sqrt{(4-(-3))^2+(7-4)^2} \\\\AB=\sqrt{(4+3)^2+3^2} \\\\AB=\sqrt{7^2+9} \\\\AB=\sqrt{49+9} \\\\AB=\sqrt{58} \\\\AB\approx7.62\ units[/tex]
help pls cause i dont understand it
The slope of the line of image 1 is 2
The slope of the line of image 2 is 5/2
The slope of the line of image 3 is 2/5.
What is a slope?The same number is given for every two different points on the same line when the ratio is stated as a quotient ("rise over run"). On a falling line, there is a negative "rise." In a diagram that depicts a roof or a road as a description or a design, the line may be practical as established by a road surveyor.
The slope of the line of image 1 is:
The line is passing through the points (6, 10 and (2, 2)
So,
Slope=(y₂-y₁)/(x₂-x₁)
m=(2-10)/(2-6)
m=8/4
m=2
Therefore, the slope of the line for image 1 is 2.
Hence, option A is correct.
The slope of the line for image 2 is:
The line is passing through the points (3, 4) and (7, 14)
Slope=(y₂-y₁)/(x₂-x₁)
m=(14-4)/(7-3)
m=10/4
Therefore, the slope of the line for the image 2 is 5/2.
Hence, option F is correct.
The slope of the line for image 3 is:
The line is passing through the points (2, 1) and (7, 3)
Slope=(y₂-y₁)/(x₂-x₁)
m=(3-1)/(7-2)
m=2/5
Therefore, the slope of the line for the image 3 is 2/5
Therefore, option D is correct.
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It’s number 2 pls help
Answer: -72·a^8·b^9
Step-by-step explanation:
(-8·a^6·b³)(9·a²·b^6)
combine all the like terms:
-72·a^8·b^9
identify the most appropriate test to use for the following situation: a private and a public university are located in the same city. for the private university, 1046 alumni were surveyed and 653 said that they attended at least one class reunion. for the public university, 791 out of 1327 sampled alumni claimed they have attended at least one class reunion. is the difference in the sample proportions statistically significant? a) matched pairs b) two sample z test c) two sample t test d) one sample t test
The most appropriate test to use the given situation is option (B) two sample z test
Total number of alumni were surveyed = 1046
Number of alumni attempted at least one class reunion = 653
Similarly, in public university, 791 out of 1327 sampled alumni claimed they have attended at least one class reunion.
The two sample z test is used to compare the means of two samples to see if it is feasible that they come from the same population.
The difference in the sample proportion is statistically significant
Therefore, the correct test for the situation is option (B) two sample z test
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