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
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.
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:
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
look (this is what 2 + 2 equals)
5 (2 cups of vinegar+ 2 cups of baking soda = 5 cups of fizzy mess)
or 4
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
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
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%.
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:
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.
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
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.
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]
Can someone help me?
Answer:
65.42 is your answer
Step-by-step explanation:
Answer:
no :)
jk
65.42
Step-by-step explanation:
X + 12 >7
HELP YOU NOW PLEASE
Answer:
x>−5
Step-by-step explanation:
- 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
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
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]
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
find the arc length
Answer:
39/2 π ft^2
Step-by-step explanation:
2(13)(270)/360
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?
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
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 %.
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]
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
HELP PLEASE (i need the answer and maybe an explanation but all i really want is an answer please)
what is 0.4 × 16.21 = ?
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]
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
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.
