Answers
Answer:
[tex] \displaystyle M = ( 3,1 )[/tex]
Step-by-step explanation:
we are given the endpoint i.e P and Q of a line segment
we want to figure out the Midpoint of the Line segment
in order to do so we can use Midpoint formula given by
[tex] \displaystyle M = \bigg( \frac{ x_{1} + x_{2} }{2} , \frac{ y_{1} + y_{2}}{2} \bigg)[/tex]
so let
[tex]x_1=-2\\x_2=8\\y_1=-2\\y_2=4[/tex]
substitute
[tex] \displaystyle M = \bigg( \frac{ - 2 + 8}{2} , \frac{ - 2 + 4}{2} \bigg)[/tex]
simplify addition:
[tex] \displaystyle M = \bigg( \frac{ 6}{2} , \frac{ 2}{2} \bigg)[/tex]
simplify division:
[tex] \displaystyle M = ( 3,1 )[/tex]
hence,
the Midpoint of the line segment is (3,1)
Related Questions
tomatoes cost 1.19 per pound which equation best represents y the total cost of x pounds of tomatoes
Answers
Answer:y=1.19x
Step-by-step explanation: Since each pound of tomato costs 1.19, you multiple the price by the amount of pounds to get the total cost.
What is the greatest possible quotient of any two distinct members of the set $\left\{\frac{2}{5}, \frac{1}{2},5,10\right\}$? Specifically, we wish to maximize $\frac{x}{y}$, where $x$ and $y$ are chosen from the previous set.
Answers
The greatest possible quotient of any two distinct members of the set; { 2 / 5, 1 / 2, 5, 10 } as required is; 25.
What is the maximum possible quotient of any pair of numbers from the set?It follows from the task content that the set from which the two numbers whose quotient is to be maximised is; { 2 / 5, 1 / 2, 5, 10 }.
On this note, since the quotient which is to be maximised is hypothetically; x / y;
Hence, in a bid to maximize the result of the quotient; it follows that the numerator, x must be as great as possible and the denominator, y must be as less as possible.
On this note, since the maximum number in the set is 10 and the minimum is 2 / 5; we have that;
10 / (2 / 5)
= ( 10 × 5 ) / 2
= 25.
Consequently, it follows that the greatest possible quotient as required is; 25.
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) In the first week of her school's fundraiser, Julie sold 6 items. By the end of the
fundraiser, Julie had earned a beach ball as a prize for selling more than 20 items.
Let x represent how many more items Julie sold after the first week of the fundraiser.
Which inequality describes the problem?
6 + x > 20
6 + x 2 20
Solve the inequality. Then, complete the sentence to describe the solution.
Julie sold more than
items after the first week of the fundraiser.
Answers
Answer:
6+x > 20
Step-by-step explanation:
solving the inequality-
subtract 6 from sides.
it is x> 14
Julie sold more than 14 items after the first week of the fundrai.
have a great Day!
please show your work
Answers
-x = -6 - 12
-x = -18
solution: x=18
-c = -6 - 12
-x = -18
Answer is x = -18
Sue ate one sweetie one day, and each day afterward she ate one sweetie more than she did the day before. How many sweeties did she eat during her first week?
Answers
Answer:
28
Step-by-step explanation:
1 + 2 + 3 + 4 + 5 + 6 + 7
Look at this set of 5 numbers:
1 2 2 2 8
By how much would the mean increase if the number 9 were added to the set?
Answers
adding 9 would make the mean 4 (24/6)
therefore the mean would increase by 1
Abby earns $7 per hour working as a cashier at a cafe.
She earned $ in a week in which she worked 28 hours. She earned $ in a month in which she worked 112 hours. She earned $ more in the month than she did in the week.
Answers
Answer:
1. So $7 per hour
For 24 hour =7×24= $168
28-24=4
4×7=28
168+28=$196
or
For 28 hour
7×28
= $196
2. 7×112
=$784
3. To find the difference subtract
784-196=$588
Answer:
196; 784; 588
Step-by-step explanation:
Question: What are the characteristics of a normal distribution? Instruction: Choose all options that best answer the question. Standard deviation will be high The smaller the sample, the more the normal distribution takes on a bell curve Samples are indicative of the population Most values are close to the mean value
Answers
Answer:
Samples are indicative of the population .
Most values are close to the mean value.
Step-by-step explanation:
The normal distribution is characterized by two parameters mean and standard deviation.
The graph of the normal distribution is symmetrical bell shaped curve called the normal curve. The location and shape of the normal curve are determined by mean and standard deviation.
We see from the figure as the mean and standard deviation increase the spread and curve change.
FALSE: Standard deviation will be high. This is false because more than 50% of the values lie 1 standard deviation of the mean .When the data is clustered around the mean the standard deviation is low.
FALSE: The smaller the sample, the more the normal distribution takes on a bell curve
The sample size greatly affects the normal curve. The greater the sample size the more likely the distribution is bell shape or normal curve.
TRUE: Samples are indicative of the population .
The normal distribution population with mean and standard deviation has a normal sample with and standard deviation.
Most values are close to the mean value
TRUE: About 68% of values are within 1 standard deviation of the mean and around 95% of values are within 2 standard deviations of the mean in the normal distribution.
Which means more than 50% of the values lie 1 standard deviation of the mean.
The table shows data for 4 cyclists during one day of training.
Complete the table by finding the rate of speed for each cyclist. Use the formula r = d ÷ t.
Cyclist Distance (mi) Time (hr) Rate (mi per hr)
Alisha 40 4
Jose 30 2
Raul 40 4
Ruthie 80 5
Answers
Rate of speed of each cyclist is:
Alisha 10mi/hr
Jose 15mi/hr
Raul 10mi/hr
Ruthie 16mi/hr
Data given of each cyclist;
Formula used: [tex]r=\frac{d}{t}[/tex]
here,
r=rate of speed
d=distance
t=time
Alisha: Distance=40mi; Time=4hr
applying the formula
[tex]r=\frac{d}{t} \\r=\frac{40}{4} =10mi/hr[/tex]
Jose: Distance=30mi; Time=2hr
applying the formula
[tex]r=\frac{d}{t}\\ r=\frac{30}{2} =15mi/hr[/tex]
Raul: Distance=40mi; Time=4hr
applying the formula
[tex]r=\frac{d}{t} \\r=\frac{40}{4}=10mi/hr[/tex]
Ruthie: Distance=80mi; Time=5hr
applying the formula
[tex]r=\frac{d}{t} \\r=\frac{80}{5} =16mi/hr[/tex]
Alisha= 10mi/hr
Jose= 15mi/hr
Raul= 10mi/hr
Ruthie= 16mi/hr
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a triangle has an area of 240 square inches. the height of the triangle is 15 inches what is the length of the base of the triangle
Answers
Answer:
230.86 / 23.8 =9.7 inches-half of the base.
9.7 x 2 =19.4 inches-the length of the base.
Step-by-step explanation:
A rectangular prism has a length of 2cm, a height of 13cm, and a width of 9cm. What is its volume, in cubic cm?
Answers
Answer:
2 x 13 x 9 = 234 cm3 is your answer.
Step-by-step explanation:
Whenever given 3 side lengths of a rectangular prism you ALWAYS have to multiply those in order to get the volume..
fast please! Which measure of center is best to use for this set of data?
45, 39, 49, 37, 3, 51
Question 1 options:
Mean
Median
Mode
Range
Answers
Answer:
Median
Step-by-step explanation:
Mean: Add up all the numbers, then divide by how many numbers there are.
Median: Arrange your numbers in numerical order. Count how many numbers you have. Go to the number in that position and average it with the number in the next higher position to get the median.
Mode: Put the numbers in order from least to greatest and count how many times each number occurs.
Range: The difference between the smallest and highest numbers
Answer:
Mean:
[tex]mean = \frac{(45 + 39 + 49 + 37 + 3 + 51)}{6} \\ = 37.3[/tex]
Median:
[tex]3 \: \: 37 \: \: 39 \: \: 45 \: \: 49 \: \: 51 \\ median = ( \frac{n}{2} + 1) {}^{th} \\ = ( \frac{6}{2} + 1) {}^{th} \\ = 4 {}^{th} \: value \\ median = 45[/tex]
Mode:
[tex]mode = none \\ all \: digits \: are \: repeated \: once[/tex]
Range:
[tex]range = 51 - 3 \\ = 48[/tex]
2. 15 - |-4a|
It says evaluate the expression.
If a = 2
Answers
Answer:
7
Step-by-step explanation:
So first you substitute A in
15-|-4(2)|
Then you multiply first because of GEMDAS or PEMDAS
15-|-8|
And because absolute value means how far away it is from 0, -8 is 8 away from 0 , thus |-8| is 8. So we simplify the equation
15-8
=7
Jen's car used 10 gallons of gas to travel 300 miles. How many miles did her car travel per gallon of gas?
Answers
What is the 4th interval called?
Answers
The 4th interval is called perfect. It is also called consonant.
What is interval in mathematics?
In mathematics, interval means the gap between two particular numbers in where some numbers can be located. The numbers that are kept between two particular numbers are all real and their ranges must be maintained between two particular number.
What is the 4th interval called?The 4th interval is called perfect. The fourth interval is always consonant because it is maintained by earlier third and next fifth.
Other perfect intervals along with fourth are unison, fifth and octave. The intervals listed above are all consonant. The fourth interval is called perfect because it behaves just like the unison interval.
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Help i will give brainiest
Answers
Answer:
your answer is going to be B: Obtuse
Round 9,888,000 to the nearest whole number as needed
Idek :|
Answers
Ill mark brainly if its correct. a,b,c, or d ~ quickly please ~
Answers
Answer:
B
Step-by-step explanation:
80, 84, 79, 44, 87, 73, 89, 90, 82, 89, 93, 97, 77, and 71 whats the mean
Answers
Answer:
sum up the numbers and divide by the numbers of values.
80+84+79+44+87+73+89+90+82+89+93+97+77+71 / 14
1135/14
= 81•1 is the mean
what is the decrease of 3/2
Answers
Answer:
3/2
Step-by-step explanation:
3/2 is in the simplest form; it can't be decreased any more.
What is 35% of 35!!
Answers
Answer:
12.25
Step-by-step explanation:
Solution for What is 35 percent of 35:
35 percent *35 =
( 35:100)*35 =
( 35*35):100 =
1225:100 = 12.25
Now we have: 35 percent of 35 = 12.25
Question: What is 35 percent of 35?
Percentage solution with steps:
Step 1: Our output value is 35.
Step 2: We represent the unknown value with x.
Step 3: From step 1 above, 35 = 100%
Step 4: Similarly, x = 35%
Step 5: This results in a pair of simple equations:
35 = 100% (2)
x = 35% (2)
Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both equations have the same unit (%); we have
[tex]\frac{35}{x} =\frac{100}{35}[/tex] (with % for 100 and 35)
Step 7: Again, the reciprocal of both sides gives
[tex]\frac{x}{35} =\frac{35}{100}[/tex]
⇒ x=12.25
Therefore, 35% of 35 is 12.25
Big Ideas Math:
Q1. The graph of which of the following functions does not belong with the other three?
Answer: f(x) = 3x^2 + 24x - 6
Q2. This is the only function that does not have x-intercepts at x= Response and x= Response and a vertex at (Response, Response).
Answers
Function 3x²+24x-6 does not belong with the other three
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
From the option we have to simplify each function
a. f(x)=3x²+6x-24
b. f(x)=3x²+24x-6
c. f(x)=3(x-2)(x+4)
=3(x²+4x-2x-8)
=3x²+6x-24
d. f(x)=3(x+1)²-27
3(x²+1+2x)-27
3x²+3+6x-27
3x²+6x-24
So function 3x²+24x-6 does not belong with the other three
Hence, function 3x²+24x-6 does not belong with the other three
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A bag contains 2 green disks,2 yellow disks, and 5 black disks. What is the probability of drawing two green disks without replacement?
Answers
Answer: 1/36
Step-by-step explanation: 2/9 x 1/8 =2/72 = 1/36
Please help I’m going to fail this grade
Answers
The result of the operation between two mixed numbers are listed below:
99 / 104 4 / 3 6 / 5 52 / 25 57 / 53 33 / 100 1 / 2 8 / 5 4 4 / 3How to solve an operation between mixed numbers
Mixed numbers are real numbers with special notation to transform improper fractions into a combination of integers and fractions. That is:
a b / c = a + b / c
Where a, b, c are integers and c is a non-zero number.
The procedure to simplify the operation is described below:
Transform mixed numbers into improper fractions. Divide the resulting two fractions. Simplify the expression.Case 1
1 3 / 8 ÷ 1 4 / 9
(1 + 3 / 8) ÷ (1 + 4 / 9)
(11 / 8) ÷ (13 / 9)
(11 / 8) / (13 / 9)
99 / 104
Case 2
2 1 / 3 ÷ 1 3 / 4
(2 + 1 / 3) ÷ (1 + 3 / 4)
(7 / 3) ÷ (7 / 4)
(7 / 3) / (7 / 4)
28 / 21
4 / 3
Case 3
4 1 / 5 ÷ 3 1 / 2
(4 + 1 / 5) ÷ (3 + 1 / 2)
(21 / 5) ÷ (7 / 2)
42 / 35
6 / 5
Case 4
5 1 / 5 ÷ 2 1 / 2
(5 + 1 / 5) ÷ (2 + 1 / 2)
(26 / 5) ÷ (5 / 2)
(26 / 5) / (5 / 2)
52 / 25
Case 5
9 1 / 2 ÷ 9 4 / 6
(9 + 1 / 2) ÷ (9 + 4 / 6)
(19 / 2) ÷ (58 / 6)
114 / 106
57 / 53
Case 6
2 2 / 10 ÷ 6 2 / 3
(2 + 2 / 10) ÷ (6 + 2 / 3)
(22 / 10) ÷ (20 / 3)
(22 / 10) / (20 / 3)
(66 / 200)
33 / 100
Case 7
2 1 / 4 ÷ 4 1 / 2
(2 + 1 / 4) ÷ (4 + 1 / 2)
(9 / 4) ÷ (9 / 2)
(9 / 4) / (9 / 2)
18 / 36
1 / 2
Case 8
2 2 / 3 ÷ 1 2 / 3
(2 + 2 / 3) ÷ (1 + 2 / 3)
(8 / 3) ÷ (5 / 3)
(8 / 3) / (5 / 3)
8 / 5
Case 9
5 3 / 5 ÷ 1 2 / 5
(5 + 3 / 5) ÷ (1 + 2 / 5)
(28 / 5) ÷ (7 / 5)
(28 / 5) / (7 / 5)
28 / 7
4
Case 10
4 2 / 3 ÷ 3 1 / 2
(4 + 2 / 3) ÷ (3 + 1 / 2)
(14 / 3) ÷ (7 / 2)
(14 / 3) / (7 / 2)
28 / 21
4 / 3
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Use the Pythagorean theorem to find the missing area
Answers
Answer:
28 cm^2
Step-by-step explanation:
a^+21^2=36^2
a^2+441=1225
a=28
What is quadrant 3 on a graph?
Answers
The lower left-hand corner of the graph is the third quadrant.
It contains the negative values of both x and y.
Quadrant
The axes of a two-dimensional Cartesian system divide the plane into four infinite regions called quadrants, each bounded by two half-axes.
Cartesian system
A Cartesian coordinate system in a plane is a coordinate system that specifies each point uniquely by a pair of numerical coordinates, which are the signed distances to the point from two fixed perpendicular oriented lines, measured in the same unit of length.
coordinates
Coordinates are numbers which determine the position of a point or a shape in a particular space.
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Regular hexagon $ABCDEF$ is the base of right pyramid $\allowbreak PABCDEF$. If $PAD$ is an equilateral triangle with side length 8, then what is the volume of the pyramid
Answers
The volume of the pyramid as calculated from the data given is found to be as 21.33 cubic units .
The distance from a corner to the center is 8 , and from the corner to the top of the pyramid is 8, because it is given that the tringles are equilateral.
so the height becomes,
√3a/2 = 4√3
The area of the hexagon is calculated using the formula ,
=3√3/2 x a²
=3√3/2 x 64
= 963√3
=332.553 square units.
Volume of a pyramid is calculated as ,
1/3 x base x height
= 1/ 3 x 8 x 8
= 1/3 x 64
=21.33 cubic units answer.
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The graph below shows the relationship between average heart rate (in beats per minute) of several mammal
species and their life expectancy (in years).
Which statement is the best description of the association between these variables?
Answers
Answer:
Nonlinar assosion
Step-by-step explanation:
Answer:
Its B
Step-by-step explanation:
Polygon measurement include which of the following?
Answers
Answer:
Length and Width
What is the plotting method?
Answers
Plotting method is the graphical representation of mathematical expression.
What is mean by plotting?A plot is a graphical representation of a list of data. Besides, a plot is the graphical analysis of mathematical expressions and equations because plot can show the relationship between two or more variables. There are many plotting methods such as hand plotting method, computer aided plotting method and so on.
What are the steps of plotting method?At first, we need to choose the coordinate system by which we plot the point.
suppose we choose a XY coordinate plane. At first identify the horizontal or X axis and vertical or Y axis.
besides, we need to determine the required value that will be plotted on the plan.
if we have a list of X and Y value then find the value of X on the x axis and next find the value of Y on the Y axis.
we will notice some points for every pair of x and y value. Finally, we will join the points to achieve a required shaped graph.
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