Answer:
We have a data set with 6 whole numbers:
{A, B. C, D, E, F}
The median, in this case, will be the mean of the two middle numbers, C and D.
Median = (C + D)/2 = 40
We also know that the difference between the largest and the smallest number is 21, where the largest number is F and the smallest number is A, then:
F - A =21.
And the mean will be:
Now we want to take the largest possible numbers such that we end having the largest mean of the whole set, then we can start by taking:
(C + D)/2 = 40
Here we can just take:
C = 39
D = 41
Now our set is:
{A, B, 39, 41, E, F}
Now, A and B should be the largest possible whole numbers (and they must be smaller than 39
The two options are:
B = 38
A = 37
Now our set is:
{37, 38, 39, 41, E, F}
Now, remember that:
F - A = 21
F - 37 = 21
F = 21 + 37 = 58
Then our set will be:
{37, 38, 39, 41, E, 58}
And for E, we should pick the largest number that we could.
In this case, the only restrictions we have for E are that it must be larger than 41, and smaller than 58.
The largest number that meets those conditions is the number 57.
Then our set will be:
{37, 38, 39, 41, 57, 58}
And the mean of this set is:
Mean = (37 + 38 + 39 + 41 + 57 + 58)/6 = 45
How? (2x^2 - 3x - 4)(x + 7)
Answer:
[tex]2 {x}^{3} + 11{x}^{2} - 25x - 28[/tex]
Step-by-step explanation:
Using foil method, Multiply the first term
[tex]2 {x}^{2} \times x = 2 {x}^{3} [/tex]
Next, Multiply the Outer term in each parenthesis. (2x^2 and 7
[tex] 2 {x}^{2} \times 7 = 14 {x}^{2} [/tex]
[tex] 2 {x}^{2} \times 7 = 14 {x}^{2} \: \: \: 3x \times - x = - 3x[/tex]
Then, Multiply the Inner Terms (-3x,-4,7) in each parenthesis
[tex] - 3x \times 7 = - 21x[/tex]
[tex] - 4 \times x = - 4x[/tex]
Then multiply the last term (-4 and 7).
[tex] - 4 \times 7 = - 28[/tex]
Combine it you have
[tex]2 {x}^{3} + 14 {x}^{2} - 3 {x}^{2} - 21x - 4x - 28[/tex]
which simplify to
[tex]2 {x}^{3} + 11 {x}^{2} - 25x - 28[/tex]
3 of 5
The ratio of boys to girls in a class is 4:3. There are 35
students in the class. How many more boys than girls are
there?
HELP PLEASE (i need the answer and maybe an explanation but all i really want is an answer please)
find the arc length
Answer:
39/2 π ft^2
Step-by-step explanation:
2(13)(270)/360
Question 10 (Worth 5 points)
(01.01 LC)Look at the following numbers:
−4, −5, 0, 5
Which pair of numbers has a sum of zero?
5, −5
−5, 0
−4, 5
−4, 0
X + 12 >7
HELP YOU NOW PLEASE
Answer:
x>−5
Step-by-step explanation:
In a financial crisis, the number of bankruptcies will likely be ____ and the company profits will likely be O A. larger; larger O B. smaller; smaller C. smaller; larger O ; D. larger; smaller
Answer:larger ,smaller
Step-by-step explanation:
Answer:
larger, smaller
Step-by-step explanation:
on aoex
Please give me an answer with an explanation! I'll give brainliest to whoever answers it correctly with explanation
Answer:
Rotational symmetry of Order : 6
Step-by-step explanation:
Rotational symmetry of Order : 6
When you rotate the picture and it match the original shape 6 times.
What is an equation of the line that passes through the points (6,8) and (-3,2)?
Answer:
y=2/3x+4
Step-by-step explanation:
in 4th period P.E class, the ratio of boys to girls is 6:5 if there are a total of 55 students how many boys are there and how many girls are there?
Answer:
boys=30 girls=25
Step-by-step explanation:
if you add 6 and 5 and then you would get 11. 55 divided by 11 is 5. so then we would do 6*5 and 5*5 thats how i got my answer.
sorry if it's not correct
Can someone pls answer this
Answer:
a) 148°
b) 35.35 cm squared
Step-by-step explanation:
a)
[tex]\alpha =2tan(\frac{14}{4} )^{-1} =148[/tex]
b)
[tex]A=4*14-\frac{\pi 4^{2}*148 }{360} =35.35cm^{2}[/tex]
In exercises 27-30, three vertices of DEFG are given. Find the coordinates of the remaining vertices: D(-2,-4), F(0,7), G(1,0)
Answer:
[tex]E =[/tex] [tex](-3,3)[/tex]
Step-by-step explanation:
Given
Parallelogram: DEFG
[tex]D(x_1,y_1) = (-2,-4)[/tex]
[tex]F(x_3,y_3) = (0,7)[/tex]
[tex]G(x_3,y_4) = (1,0)[/tex]
Required
Find the coordinates of [tex]E(x_2,y_2)[/tex]
To do this, we make use of mid-point formula which is:
[tex]M = (\frac{x_1+x_3}{2},\frac{y_1+y_3}{2})= (\frac{x_2+x_4}{2},\frac{y_2+y_4}{2})[/tex]
This gives:
[tex](\frac{-2+0}{2},\frac{-4+7}{2})= (\frac{x_2+1}{2},\frac{y_2+0}{2})[/tex]
[tex](\frac{-2}{2},\frac{3}{2})= (\frac{x_2+1}{2},\frac{y_2+0}{2})[/tex]
Multiply through by 2
[tex]2 * (\frac{-2}{2},\frac{3}{2})= (\frac{x_2+1}{2},\frac{y_2+0}{2})*2[/tex]
[tex](-2,3) = (x_2+1,y_2+0)[/tex]
[tex](-2,3) = (x_2+1,y_2)[/tex]
By comparison:
[tex]-2 = x_2 + 1[/tex] and [tex]3= y_2[/tex]
So, we have:
[tex]-2-1=x_2[/tex] and [tex]3= y_2[/tex]
[tex]-3 = x_2[/tex] and [tex]3 = y_2[/tex]
This gives:
[tex]x_2 = -3[/tex] and [tex]y_2 =3[/tex]
Hence, the 4th coordinate is: [tex](-3,3)[/tex]
Can someone plz help me
Answer:
S is also 13
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
The incenter is the point where all of the angle bisectors meet in the triangle
Using that definition, since point S is the incenter, we know segments RS and SQ are congruent.
1. We can use the Pythagorean Theorem to solve for segment RS first.
a^2+b^2=c^2 or MR^2+RS^2=MS^2
12^2+b^2=13^2
144+b^2=169
b^2=169-144
b^2=25
b=5 or RS=5
Since segment RS is congruent to segment SQ, SQ=5
A school carnival sold 90 early-admission tickets and 810 regular tickets. What percentage of the tickets sold were early-admission tickets?
Answer:
11.12 %
Step-by-step explanation:
Given that,
There are 90 early admission tickets.
There are 810 regular tickets.
We need to find the percentage of the tickets sold were early-admission tickets.
[tex]P=\dfrac{90}{810}\times 100\\\\=11.12\%[/tex]
So, the required percentage is 11.12 %.
When lit, a candle loses 8% of the unlit candle every hour. Janet lit a candle with an original height of 5 inches. Until the candle has been burning for at least ___ hours, the height of her candle will be more than four inches.
Please help! This was on a test but it’s confusing to me!
Answer:
2.5 hours
Step-by-step explanation:
We are given that
Original height of candle=5 in
Every hour candle loses =8% of 5 in=0.4
According to question
[tex]5-0.4x>4[/tex]
Subtract 4 from both sides we get
[tex]5-4-0.4x>0[/tex]
[tex]1-0.4x>0[/tex]
[tex]-0.4x>-1[/tex]
[tex]0.4x<1[/tex]
Divide by 0.4 on both sides
[tex]x<\frac{1}{0.4}[/tex]
[tex]x<2.5[/tex]
x=2.5 hours
Until the candle has been burning for at least 2.5 hours, the height of her candle will be more than four inches.
SOMEONE PLEASE HELP ToT ill make u brain
Answer:
43
Step-by-step explanation:
18 + 4x - 3
18 + 4(7) - 3
18 + 28 - 3
46 - 3
43
You will plug 7 in the x place since x = 7. Hope this helps, thank you !!
Answer:
18 + 28-3 is 43.
Step-by-step explanation:
4x7 28 that's how I did it
- 4 ( x - 5 ) = 92
What is x?
Answer:
Let's solve your equation step-by-step.
−4(x−5)=92
Answer:
x=−18
Step-by-step explanation:
Answer:
x = 28
Step-by-step explanation:
4 ( − 5 ) = 9 2
4 − 2 0 + 2 0 = 9 2 + 2 0
4x =112
4x/4 = 112/4
x = 28
look (this is what 2 + 2 equals)
5 (2 cups of vinegar+ 2 cups of baking soda = 5 cups of fizzy mess)
or 4
THIS IS A HARD QUESTION HOPE YOU CAN SOLVE
Answer:
The triangles are congruent so AB=DE=6
AB=6
angle F= angle C
so F=50 degrees
Step-by-step explanation:
If the wages of 13 workers for 4 days are $9828, find the wages of 1 1 workers for 5 days.
Answer:
10395
Step-by-step explanation:
[tex]9828 \div 4 \div 13 = 189[/tex]
[tex]189 \times 11 \times 5 = 10395[/tex]
Answer:
945
Step-by-step explanation:
9828 divided by 13 = 756
756 divided by 4= 189
189 x 5= 945
945 x 11= 10,395
Your welcome
The temperature during one day in Auckland decreases from 21°C to 17°C. Calculate the percentage decrease correct to 3 significant figures.
please i need a quick answer
Answer:
19.04%
Step-by-step explanation:
The temperature decreases from 21°C to 17°C.
We need to find the percentage decrease in the value of temperatures.
The percentage decrease in any value is given by :
[tex]\%=\dfrac{|\text{initial value-final value}|}{\text{initial value}}\times 100\\\\=\dfrac{21-17}{21}\times 100\\\\=19.04\%[/tex]
So, the required percentage decrease is 19.04%.
pls help me with this multiple choice !
Answer:
A
Step-by-step explanation:
[tex] \sin(60) = \frac{13 \sqrt{ 3 } }{x} \\ x = \frac{13 \sqrt{3} }{ \sin(60) } = 26 \\ \cos(60) = \frac{y}{26 } \\ y = 13[/tex]
Max has three pieces of oak trim that are 7 inches, 11 inches, and 18 inches long. He wants to use them to make a triangular base for a candleholder. Will the pieces make a triangle? Explain your answer.
Answer:
NoStep-by-step explanation:
Use triangle inequality theorem, which states
"The sum of the lengths of any two sides of a triangle is greater than the length of the third side."
The sum of two sides compared to the remaining side:
7 + 11 = 18 = 18 - not ok7 + 18 = 25 > 11 - ok11 + 18 = 29 > 7 - okThe sum of two sides is equal to the third side. This makes it impossible to make a triangle. Therefore the answer is no.
Kira ,Charlie , and Miguel have a total of $105 in their wallets . Kira has $9 less than Miguel. Charlie has 4 times what Miguel has . How much does each have ?
Let the money with Miguel be x.
Then :
Money with Kira = x - 9
Money with Charlie = 4x
Total money in their wallet = $105
This can be written in an equation as :
[tex] = \tt \: x + x - 9 + 4x = 105[/tex]
[tex] = \tt2x + 4x - 9 = 105[/tex]
[tex] = \tt 6x - 9 = 105[/tex]
[tex] = \tt6x = 105 + 9[/tex]
[tex] = \tt6x = 114[/tex]
[tex] = \tt x = \frac{114}{6} [/tex]
[tex] = \tt x = 19[/tex]
Which means :
Money with Miguel = $19
Money with Kira :
= 19 - 9
Thus, Kira has $10 in her wallet.
Money with Charlie :
= 4 × 19
= 76
Thus, Charlie has $76 in his wallet.
Therefore, Money with Kira = $10Money with Charlie = $76Money with Miguel = $19Answer:
Let the money with Miguel be x.
Then :
Money with Kira = x - 9
Money with Charlie = 4x
Total money in their wallet = $105
This can be written in an equation as :
= \tt \: x + x - 9 + 4x = 105=x+x−9+4x=105
= \tt2x + 4x - 9 = 105=2x+4x−9=105
= \tt 6x - 9 = 105=6x−9=105
= \tt6x = 105 + 9=6x=105+9
= \tt6x = 114=6x=114
= \tt x = \frac{114}{6}=x=
6
114
= \tt x = 19=x=19
Which means :
Money with Miguel = $19
Money with Kira :
= 19 - 9
Thus, Kira has $10 in her wallet.
Money with Charlie :
= 4 × 19
= 76
Thus, Charlie has $76 in his wallet.
Therefore,
Money with Kira = $10
Money with Charlie = $76
Money with Miguel = $19
Radius of the circle is 20cm. there are two chords of lengths.
32cm, what will be the dis-
tance of these chords from
the centre of the circle?
9514 1404 393
Answer:
12 cm
Step-by-step explanation:
The distance to the chord is the median of an isosceles right triangle with hypotenuse 20 and leg 16. This 5:4 ratio suggests the other leg of that right triangle would make the ratios 3 : 4 : 5, so is 12.
The chords are 12 cm from the center.
_____
You can, of course, use the Pythagorean theorem. If c is half the chord length and d is the distance to the chord, you have ...
c² + d² = r²
16² + d² = 20²
d² = 400 -256 = 144
d = √144 = 12 . . . . . cm
BRAINLIEST! Pls help...
Answer:
Option A
Step-by-step explanation:
Any number that can be written in the form of a fraction [tex](\frac{p}{q})[/tex] will be a rational number.
From the given options,
Option (A)
Given expression [tex]\sqrt{\frac{x^2+2x-5}{2x^2-3x+4}}[/tex] can't be written in the form of a fraction [tex](\frac{p}{q})[/tex] (Without square root).
Therefore, given function is not a rational function.
Rest all options represent a rational function.
Option A will be the answer.
In the triangle below, what is the length of the side opposite the 30 degree angle?
Answer:
A. 3/2
Step-by-step explanation:
To find the lenght of the side opposing the 30° angle, you need to use trigonometry, since it's a right-angled triangle. You have your 30° angle and you have the side beside : therefore, you can use the sine :
sin(30) x 3 = ?
0,5 x 3 = ?
1,5 = ?
1,5 = 3/2
Can someone help me?
Answer:
65.42 is your answer
Step-by-step explanation:
Answer:
no :)
jk
65.42
Step-by-step explanation:
Solve for x -12=-32+55
Answer:
x = 35
Step-by-step explanation:
I solved for x by simplifying both sides of the equation, then isolating the variable.
Hope this helps:)
Answer:
Step 1: Simplify both sides of the equation.
x−12=−32+55
x+−12=−32+55
x−12=(−32+55)(Combine Like Terms)
x−12=23
x−12=23
Step 2: Add 12 to both sides.
x−12+12=23+12
x=35
Answer:
x=35
what is 0.4 × 16.21 = ?
