Answer: (1, 1)
Step-by-step explanation:
Midpoint formula: [tex](\frac{x1+x2}{2} ,\frac{y1+y2}{2} )[/tex]
(x1, x2)=(-2, 4)
(y1, y2)=(-1, 3)
-----------------------------------------
[tex](\frac{x1+x2}{2} ,\frac{y1+y2}{2} )[/tex]
=[tex](\frac{-2+4}{2} ,\frac{-1+3}{2} )[/tex]
=[tex](\frac{2}{2} ,\frac{2}{2} )[/tex]
=[tex](1, 1)[/tex]
Hope this helps!! :)
Please let me know if you have any question or need further explanation
A corollary needs which of the following geometric terms to be proven true?
A Inverse
B. Identity
C. Theorem
D. Common notion
A corollary needs theorem to be proven true.
What is corollary?" A corollary is defined as the statement which either need little explanation or no explanation to prove true. It is based on already proven statements."
According to the question,
Inverse is not consider as already proven statement. It is function which needs to calculate.
Hence, Inverse is not true.
Identity are formula which is not a geometric term.
Hence , identity is not true.
Theorem are geometric term, which can be used to prove other statements true as it is already proved.
Hence, corollary needs theorem to be proven true.
Common notion are like postulates which are consider as without proof. Common notion are not limited to geometry.
Hence, common notion is not true.
Therefore, A corollary needs theorem to be proven true.
Learn more about corollary here
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Q2. The probability that an individual who attended the fair and completed the entry form will win a prize is:
Question:
At a local county fair, the officials would like to give a prize to 100 selected people at random from those attending the fair. As of the closing day, 12500 people have attended the fair and completed their entry form. The probability that an individual who attended the fair and completed the entry form will win a prize is:
Answer:
[tex]Probability = \frac{1}{125}[/tex]
Step-by-step explanation:
Given
Population = 12,500
Selection = 100
Required
Determine the probability that the selected person will win a prize
To do this, we simply divide the number of those that needs to be selected by the total population;
i.e.
[tex]Probability = \frac{Selection}{Population}[/tex]
[tex]Probability = \frac{100}{12500}[/tex]
Divide the numerator and denominator by 100
[tex]Probability = \frac{1}{125}[/tex]
Hence, the required probability is ;
[tex]Probability = \frac{1}{125}[/tex]
24 points! need asap
Answer:
a. DC
b. B
c. ED
Ray CD is the same as ray DC.
A ray with the endpoint A would be ray BA. The starting point would be point B and ending point would be A.
The opposite ray to ray EC is ray ED. The two rays are opposite to each other.
Nine times the sum of a number and 8 is equal to 7.
Answer:
Verbal expression =9(x+8) =7
Step-by-step explanation:
Let the unknown number be x
[tex]9(x+8) =7\\[/tex]
Further solution ;
[tex]9\left(x+8\right)=7\\\\\mathrm{Divide\:both\:sides\:by\:}9\\\frac{9\left(x+8\right)}{9}=\frac{7}{9}\\\\Simplify\\x+8=\frac{7}{9}\\\\\mathrm{Subtract\:}8\mathrm{\:from\:both\:sides}\\x+8-8=\frac{7}{9}-8\\\\Simplify\\x=-\frac{65}{9}[/tex]
stem (hundred thousands) Leaf (ten thousands)
0 667778999
1 02447778889999
2 0011234445667889
3 00011227
The stem-and-leaf plot above shows house sale prices over the last week in Tacoma. What was the most expensive house sold? Give your answer in dollars
The largest stem is 3, found in the bottom row. This represents 300 thousand or 300,000.
The largest leaf in the bottom row is 7 and that represents
7*(10 thousand) = 70 thousand = 70,000
Adding the stem and leaf values gets us
300,000 + 70,000 = 370,000
The most expensive home sold was $370,000what is the product of 2/3 3/4 4/5 5/6 6/7
Answer:
2/7
Step-by-step explanation:
Since multiplication fractions is just multiplying all numerators together and all denominators together, we can group all these fractions together into one big fraction as they are all being multiplied together:
(2x3x4x5x6x)/(3x4x5x6x7)
Because each term is being multiplied together, if it also appears in the denominator, they will cancel each other out (as x multiplied by y and then divided by y is just x as the ys cancel each other out)
Therefore we are just left with 2/7.
Hope this helped!
lute
data.
Andrea's math test scores
were 76, 88, 82, 94, and 88.
Find the mean.
Answer:
85.6
Step-by-step explanation:
you just add the numbers which is 428 and divide that by 5 which is 85.6
Answer:
85.6
Step-by-step explanation:
To find the mean, add up all the scores then divide by the number of tests
(76+ 88+ 82+ 94+88)/5
428/5
85.6
Bob has burn 300 calories in the past hour he didn't goes home and he's a candy bar that is 300 calories true or false is it an additive inverse?
solve
-X^2+7(y+2)-1 x=5 y=-9
Answer:
The expression = -75
Step-by-step explanation:
Evaluate: Enter a number for each variable.
−x2+7(y+2)−1
x=
5
y=
-9
Evaluate for x=5,y=−9
−52+7(−9+2)−1
−52+7(−9+2)−1
=−75
The formula uppercase S = StartFraction n (a Subscript 1 Baseline plus a Subscript n Baseline) Over 2 EndFraction gives the partial sum of an arithmetic sequence. What is the formula solved for an?
Answer:
[tex]a_n = 2S - a_1[/tex]
Step-by-step explanation:
Given
[tex]S = \frac{a_1 + a_n}{2}[/tex]
Required
Determine the formula for [tex]a_n[/tex]
What this question implies is to solve for [tex]a_n[/tex]
[tex]S = \frac{a_1 + a_n}{2}[/tex]
Multiply both sides by 2
[tex]2 * S = \frac{a_1 + a_n}{2} * 2[/tex]
[tex]2 S = a_1 + a_n[/tex]
Subtract [tex]a_1[/tex] from both sides
[tex]2S - a_1 = a_1 - a_1 + a_n[/tex]
[tex]2S - a_1 = a_n[/tex]
[tex]a_n = 2S - a_1[/tex]
Hence; the formula to solve [tex]a_n[/tex] is [tex]a_n = 2S - a_1[/tex]
Answer:
an=2S-a1n/n
Step-by-step explanation:
I need help with this
Answer:
rational
Step-by-step explanation:
ans
a) Rational
Hope this helps you...
You intend to conduct an ANOVA with 7 groups in which each group will have the same number of subjects: n=6n=6. (This is referred to as a "balanced" single-factor ANOVA.)
1. What are the degrees of freedom for the numerator?
d.f.(treatment) =
2. What are the degrees of freedom for the denominator?
d.f.(error) =
Answer:
d.f.(treatment) = 6
d.f.(error) = 35
Step-by-step explanation:
In the question we have
k = 7
r= 6
n= rk= 42
1. The degrees of freedom for the numerator is calculated as under
d.f.(treatment) = k-1= 7-1= 6
Where k gives the number of columns
2. The degrees of freedom for the denominator is calculated as under
d.f.(error) = k (r-1)= n-k= 42-7=35
where k gives the number of columns and r gives the number of rows.
This is for one way ANOVA as asked above.
Jasmine wants to use her savings of $1,128 to buy video games and movies. The total price of the movies she bought was $72. The video games cost $43 each. Choose the inequality that would be used to solve for the maximum number of video games Jasmine can buy with her savings. 43 + 72x ≤ 1,128 43 + 72x ≥ 1,128 43x + 72 ≥ 1,128 43x + 72 ≤ 1,128
Answer:
I would believe it is the final answer by the way it's put! hope this helps :)
The correct inequality is 43x + 72 ≤ 1,128.
Given,
Jasmine wants to use her savings of $1,128 to buy video games and movies.
The total price of the movies she bought was $72.
The video games cost $43 each.
We need to choose the inequality that would be used to solve the maximum number of video games Jasmine can buy with her savings.
What are the types of inequality?We have,
< - less than
> - greater than
≤ - less than and equal
≥ - greater than and equal
Find the total cost of the movies.
= $72
Find the cost of each video game.
= $43
Find the savings Jasmine has.
= $1,128
The amount Jasmine can use to buy movies and video games is $1,228.
So, we can use less than or equal to $1,228 to buy movies and video games.
i.e ≤ $1,128
We have,
Cost of movie = $72
Cost of each video game = $43
We can write the inequality as:
$72 + $43x ≤ $1,128
Where x is the number of video games.
Thus the correct inequality is 43x + 72 ≤ 1,128.
Learn more about the writing system of inequality for buying two items with a total of 80 items here:
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A jar has 2 red marbles, 3 blue marbles, and 5 green marbles. Draw two marbles at random, without replacement. What is the chance that one will be red and the other blue, in any order?
Answer:
1/15
Step-by-step explanation:
Total no. of balls = 2+3+5 = 10
No. of red ball =2
Probability of 1st being red = 2/10 =1/5
Probability of 2nd being blue = 3/9 =1/3
Therefore, chance that one will be red and the other blue, in any order
= 1/5×1/3 = 1/15
-18 ×-10×5 Thanksgiving
Answer: [tex]900[/tex]
Multiply
[tex]-18*-10=180[/tex]
Multiply
[tex]180*5=900[/tex]
Note
Multiplying/Dividing a negative to a positive will equal a negative. (N×P=N)
Multiplying/Dividing a negative to a negative will equal a positive. (N×N=P)
Multiplying/Dividing a positive to a positive will equal a positive. (P×P=P)
Samantha is wall papering her bedroom and wants to make sure that she bought enough wall paper. Each wall in her room measures 10 feet by 11 feet. How many rolls of wall paper will Samantha need if each roll covers a total of 25 square feet.
Answer:
17.60
Step-by-step explanation:
Look at the room carefully, the length of the room is 11 feet
And the height = 10 feet
The area of the 4 walls of the room = 4( 11×10) = 440 sq ft
Area covered by each roll = 25 sq ft
= 440/25 = 17.60 rolls
Therefore we require 17.60 rolls to cover a rectangular room on all four sides.
determine whether the given vectors are orthogonal parallel or neither. (a) u=<-9,9,3>, v=<12,-12,-4>
Answer:
parallel
Step-by-step explanation:
u = <-9,9,3>
v = <12,-12,-4>
test if the given vectors are orthogonal ( dot product = 0 )
we have to find the dot product of the vectors to determine is it will be = 0
u*v = (-9)*(12) + (9)*(-12) + (3)*(-4) = -108 -108 -12= -228 ≠ 0
hence the given vectors is not orthogonal
next check if the vectors are linearly dependent
(-9/12 ) = - 3/4
(9/-12) = - 3/4
( 3/-4 ) = - 3/4
since they are linearly dependent then they are parallel
a sporting complex charges $6 to use its facility. the expression 0.25b+6 models the total cost to hit b baseballs in the bating cage. What is the cost per baseball?
Answer:
tndjxisjebducu
ejdjdnebdix
4.89 times 2.2? Iiiiyfedfggfdsdfhhhhhg
Answer:
10.758
Step-by-step explanation:
Which decimal is equivalent to 4/15 A 0.26 B 0.2626 C 0.26 D 0.26
Answer:
0.266666....
Step-by-step explanation:
see the calculator
lol
Answer:
b
Step-by-step explanation:
read the comment
Which expression would be easier to simplify if you used the commutative property to change the order of the numbers?
A. 30+(-12)+70
B. 60+40+(-25)
C. 1/3+2/3+(-1/4)
D. -10+(-20)+1/2
Answer: A. 30+(-12)+70
Step-by-step explanation:
Commutative property of addition is given by : a+b = b+a , where a and b can be any expression of real numbers.
It basically changes the order of the so that simplification of any expression becomes easier.
In A. we use this property as
30+(-12)+70 = 30+[(-12)+70]
= 30 + [70+(-12)] [we switched order of (-12) and 17]
= 30+70-12
= 100-12
= 88
The rest of the expression already arranged accordingly, there is no need to apply commutative property to change the order of the numbers.
So the correct option is A. 30+(-12)+70.
Find the midpoint on segment AB; A (0, 6), B (4, 2)
Answer:
2,4
Explanation:
Because a midpoint is the middle of the line
Answer:
[tex]mAB=(2,4)[/tex]
Step-by-step explanation:
Step 1: Use the midpoint formula to solve
[tex]mAB=(\frac{x1 +x2}{2},\frac{y1+y2}{2} )[/tex]
[tex]mAB=(\frac{0+4}{2},\frac{6+2}{2} )[/tex]
[tex]mAB=(\frac{4}{2},\frac{8}{2} )[/tex]
[tex]mAB=(2,4)[/tex]
Therefore the midpoint on the line segment AB is (2,4)
At Jack’s birthday party, 23 of the kids had balloons. 14 of the balloons were red. What fraction of the kids at the party had red balloons?
What is h(x) = –3x2 – 6x + 5 written in vertex form?
Answer:
y= 3(x-1)^2+2
Step-by-step explanation:
The vertex form for h(x)= -3x^2-6x+5 is y= 3(x-1)^2+2.
HOPE THIS HELPED!
HAVE A GREAT DAY!
The equation of the parabola h(x) = –3x² – 6x + 5 in the vertex form can be written as y = -3(x-1)²+8.
What is a quadratic equation?A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers. It is written in the form of ax²+bx+c.
The vertex form of a quadratic equation is given as y = a(x-h)² + k, where h and k are the x and y coordinates of the vertex of the parabola.
Given the equation of the parabola, h(x) = –3x² – 6x + 5. Comparing the given equation with the general quadratic equation, the value of the variables a, b, and c can be written as shown.
ax² + bx + c
–3x² – 6x + 5
Therefore, the value of a, b, and c is -3, -6, and 5.
Now, substitute the values in the equation of the vertex of a parabola, now, the value of the h and k coordinates can be written as,
h = -b/(2a) = -(-6)/(2 × -3) = -1
k = c - b²/(4a) = 5 - [(-6)²/ (4× -3)] = 8
Hence, the equation of the parabola h(x) = –3x² – 6x + 5 in the vertex form can be written as y = -3(x-1)²+8.
Learn more about Quadratic Equations:
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What is the x value?
Answer:
The correct answer is x = 12.
Step-by-step explanation:
To solve this problem, we must remember that an angle bisector divides the angle into two smaller, equal angles. This means that we can set the values for each of these smaller angles equal to one another, given that the angle is bisected. This is modeled below:
9x - 54 = 4x + 6
Now, we can solve this equation like any other. The first step is to subtract 4x from both sides.
9x - 4x - 54 = 4x - 4x + 6
5x - 54 = 6
Then, we should add 54 to both sides.
5x - 54 + 54 = 6 + 54
5x = 60
Finally, we can divide both sides by 5.
5x/5 = 60/5
x = 12
Therefore, the correct answer is x = 12.
Hope this helps!
Answer:
The value of x is 12°.
Step-by-step explanation:
Given that AC is the angle bisector of ∠BAD which means that AC cuts exactly the center of ∠BAD so ∠BAC and ∠CAD must be the same.
In order to find the value of x, you have to make ∠BAC = ∠CAD
[tex]∠BAC = ∠CAD[/tex]
[tex]9x - 54 = 4x + 6[/tex]
[tex]9x - 4x = 6 + 54[/tex]
[tex]5x = 60[/tex]
[tex]x = 60 \div 5[/tex]
[tex]x = 12[/tex]
Is this a pentagon or what?? Umm sorry I forgot I’ll giv ya brainliest to the first on ...I know I can search on the internet but I just want to ask Brainly so yah....
Answer:
see below
Step-by-step explanation:
This has only 4 sides and a pentagon has 5 sides
This is a quadrilateral ( 4 sided)
This is a special 4 sided figure called a trapezoid
Answer:
Step-by-step explanation:
pentagon= 5 sides
Quadrilateral=4 sides
parallelogram=4 sides
Rhombus=4 sides
square=4 sides
Rectangle=4 sides
Trapezoid=4 sides
all these of 4 sides come under Quadrilateral.
The grade received on a certain teacher's 100-point test varies in direct proportion to the amount of time a student spends preparing for the test. If a student receives 72 points on a test for which she spent 3 hours preparing, what score would she receive on the next test if she spent 4 hours preparing?
Answer:
She would receive 96 points
Step-by-step explanation:
The grade (Y) received on a certain teacher's 100-point test varies in direct proportion to the amount of time(t) a student spends preparing for the test.
Mathematically
Y= kt
Where k is constant of proportionality
If y= 72 and t= 3
72=k3
72/3= k
24= k
So
Y= 24t
If t= 4
Y= kt
Y= 24(4)
Y= 96
Y = 96 points
She would receive 96 points
What is the value of x in a & b?
Answer:
a. x = 9
b. x = 3.6
Step-by-step explanation:
a. By Basic proportionality theorem:
AB/BD = AC/CE
4/4 = x/9
1 = x/9
9 = x
x = 9
b.
[tex] In \: \triangle ABC \: \& \: \triangle EDF\\
\angle B \cong \angle D....(given) \\
\angle C \cong \angle F.....(given) \\
\therefore \triangle ABC \: \sim \: \triangle EDF.. (AA\: POSTULATE) \\
\therefore \frac{AB}{ED} = \frac{BC}{DF} ...(csst) \\
\therefore \frac{2}{5} = \frac{x}{9}\\
\therefore x = \frac{2\times 9}{5} \\
\therefore x = \frac{18}{5} \\
\huge \red{\boxed {\therefore x = 3.6}} \\[/tex]
Two types of flares are tested and their burning times are recorded. The summary statistics are given below: n = 35 n = 40 = 19.4 min = 15.1 min s = 1.4 min s = 0.8 min Construct a 95% confidence interval for the differences between the mean burning time of the brand X flare and the mean burning time of the brand Y flare.
a. 3.2 min < ?X - ?Y < 5.4 min
b. 3.6 min < ?X - ?Y < 5.0 min
c. 3.8 min < ?X - ?Y < 4.8 min
d. 3.5 min < ?X - ?Y < 5.1 min
Answer:
C. 3.8 min < ?X - ?Y < 4.8 min
Step-by-step explanation:
Let both flares be X and Y
For X
n1 = 35
Bar x1 =19.4
D1 = 1.4
For Y
n2 = 40
Bar X2= 15.1
S2 = 0.8
√(x1²/n1) + (x2²/n2)
=√ (1.4²/35)+(0.8²+40)
= 0.2683
Critical value, t = 2.032
We now have to calculate margin of error
0.2683x2.032
= 0.545 this is approximately equal to 0.5
Bar x1 - bar X2
= 19.4 - 15.1
= 4.3
At 95% confidence level
4.3+-0.5
4.3+0.5= 4.8
4.3-0.5 = 3.8
Therefore the answer is 3.8min<X-Y<4.8min
which value of x makes this equation true -5(x - 20) = 35
Answer:
x=13
Step-by-step explanation:
Divide both sides by -5 then solve the equation for x