median is 26
maximum is 44
minimum is 17
third quartile is 40
first quartile is 18
should be correct but I'm not sure
The median is 26, the maximum value is 44. The minimum value is 17. The third quartile is 40 and first quartile is 18.
What are quartiles?
When we get data that can be compared relatively with each other, for finding quartiles, we arrange them in ascending or descending order.
Quartiles are then selected as 3 points such that they create four groups in the data, each group approximately possessing 25% of the data.
The given data set is;
17, 18, 19, 40, 42, 16, 33, 17, 33, 44, 19, 40, 37, 26, 25
The data using the five-number summary.
The median is 26
The maximum value is 44
The minimum value is 17
The third quartile is 40
The first quartile is 18
Learn more about quartiles here:
brainly.com/question/9260741
#SPJ2
Tegan is checking her tax bill for the last year.
The tax rates were as follows:
• No tax on the first £11 000 of earnings
• Earnings in excess of £11 000 and up to £43 000 taxed at a rate of 20%
• Earnings in excess of £43000 and up to £150 000 taxed at a rate of 40%
• Earnings over £150 000 taxed at a rate of 45%
Last year, Tegan earned £48 300 before tax.
How much tax did she pay in total?
Answer:
£8520
43000-11000=32000
20/100×32000
£6400
48300-43000=5300
40/100×5300=2120
£8520
Find the value of x. Round to
the nearest tenth.
17°
47
Х
X =[?]
Answer:
13.7 units
Step-by-step explanation:
Hi there!
The dotted lines and the hypotenuse of the green triangle create a new right triangle, with one of its acute angles measuring 17 degrees and its hypotenuse measuring 47 units.
Given this information and that we must solve for the side opposite the given angle, we can use the sine ratio:
[tex]sin\theta=\frac{opposite}{hypotenuse}[/tex]
Plug in known information
[tex]sin17=\frac{x}{47}\\47*sin17=x\\13.7=x[/tex]
Therefore, the value of x when rounded to the nearest tenth is 13.7 units.
I hope this helps!
One packet of biscuits requires 2 15/16 and 1 7/8 cups of sugar. Estimated total quantity of both ingredients used in 10 such packets of biscuits will be?
Answer:
Hey Mate! Here's your answer.
Step-by-step explanation:
One packet of biscuits requires 2½ cups of flour = \frac{5}{2}25
One packet of biscuits requires 1 \times \frac{2}{3}1×32
One packet of biscuits requires 1 \times \frac{2}{3}1×32cups of sugar. = \frac{5}{3}35
Total ingradiants for one packet of biscuits =
Total ingradiants for one packet of biscuits =( \frac{5}{2} + \frac{5}{3} ) = \frac{15 + 10}{6} = \frac{25}{6}(25+35)=615+10=625
Then, total quantity of both ingredients used in 10 such packets of biscuits =
Then, total quantity of both ingredients used in 10 such packets of biscuits =10 \times ( \frac{25}{6} ) = 5 \times ( \frac{25}{3} ) = \frac{125}{3} = 41 \times \frac{2}{3}10×(625)=5×(325)=3125=41×32
Hope it helped you!
The equation px²+px+3q=1+2x has roots 1/p and q
(a) Find the values of p and of q
Answer:
p = 2/3
q = 1/2
Step-by-step explanation:
The given equation is ,
[tex]\sf\to px^2 + px + 3q = 1 + 2x [/tex]
We can write it as ,
[tex]\sf\to px^2 + px + 3q - 1 -2x=0 [/tex]
Rearrange the terms ,
[tex]\sf\to px^2 - 2x + px + (3q -1)=0 [/tex]
This can be written as ,
[tex]\sf\to px^2 + x ( p - 2) + (3q -1) =0[/tex]
Now wrt Standard form of a quadratic equation ,
[tex]\bf \implies ax^2+bx + c = 0 [/tex]
we have ,
a = p b = p - 2 c = 3q - 1We know that product of zeroes :-
[tex]\to \sf q \times \dfrac{1}{p} = \dfrac{3q-1}{p } \\\\\sf\to 3q - 1 = q \\\\\sf\to 2q = 1 \\\\\sf\to \boxed{ q =\dfrac{1}{2}}[/tex]
Sum of roots :-
[tex]\to \sf q + \dfrac{1}{p} = \dfrac{2-p}{p} \\\\\sf\to \dfrac{ qp + 1}{p}= \dfrac{2-p}{p} \\\\\sf\to qp + 1 = 2 - p \\\\\sf\to p/2 + p = 1 \\\\\sf\to 3p/2 = 1 \\\\\sf\to \boxed{ p =\dfrac{2}{3}}[/tex]
The equation of line r is y = 1/2 * x + 1 line runs parallel to line r and passes through (2, 5) what would be the equation of line 8 ?help please
Answer:
x - 2y + 8 = 0
Step-by-step explanation:
that is the procedure above
A petting zoo gives out large buckets of healthy popcorn snacks for visitors to feed to the animals. what fraction of the snack is left in the bucket after a cow eats 1/3, a goose eats 1/12, and a goat eats 2/9?
Answer:
13/36 is left
Step-by-step explanation:
cow- 1/3 = 12/36
goose- 1/12 = 3/36
goat= 2/9 = 8/36
12 + 3 + 8 = 23/36
23/36 is consumed...
13/36 is left
The fraction of the snack left in the bucket will be 13/36.
What is a fraction?The fraction is defined as the division of the whole part into an equal number of parts.
Given that:
cow- 1/3 = 12/36goose- 1/12 = 3/36goat= 2/9 = 8/36The amount consumed is:-
( 12/ 36 )+ (3 / 36 ) +( 8 / 36 ) = 23/36
So the amount left will be calculated as:-
Amount left = 1 - ( 23 / 36 )
Amount left = ( 36 - 23 ) / 36
Amount left = 13 / 36
Therefore fraction of the snack left in the bucket will be 13/36.
To know more about fractions follow
https://brainly.com/question/78672
#SPJ2
environment is not ___ uniform all form
environment is not natural uniform all from
PLS HELP (algebra 1)
solve 4( -15x - 2) + 8
Answer:
-60x
Step-by-step explanation:
Someone be generous & help me please I’ll return the favor
Answer:
Step-by-step explanation:
For every quarter in his pocket, John also has 5 pennies in his pocket. If the total of the coins in John’s pocket is $ 5.40, how many quarters does John have in his pocket.
If a student receives a score of 80, how many questions did this student answer ... (5). Let x = the first number, and y = the second number ... If John only has 25 coins in his pocket, how many of the coins are quarters?
What is –70 divided by 700
PLZ HELP ME!!!
Answer: -0.1
Step-by-step explanation: Calculator
Hello!
-70 : 700 = -0,1 → answer
Good luck! :)
6h=2k+9. 3h+4k=12 use elimination please help me
Answer:
h = 2 and k = 1.5
Step-by-step explanation:
The solution is, Solve of the system of equations. using elimination,
6h=2k+9 & 3h+4k=12 is, h = 2 & k=3/2.
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.
here, we have,
given that, the system of equations.
6h-2k=9.......(1)
3h+4k=12 ...........(2)
now, for solving, multiply (1) by 2 & add with (2),
we get,
12h - 4k = 18
3h + 4k = 12
---------------------
15h = 30
i.e. h = 2
from (1), we get, k = 3/2
Hence, The solution is, Solve of the system of equations. using elimination,
6h=2k+9 & 3h+4k=12 is, h = 2 & k=3/2.
To learn more on equation click:
brainly.com/question/24169758
#SPJ2
Simple percent question!!!!
My question says that line segment DC is 50% longer than line segment BD, and BD is 40 ft. Does that mean DC is 60 ft or 80? Please explain, brainliest to whoever explains it properly and quickly
Answer:
60ft
Step-by-step explanation:
DC is 50% longer than BD (given)
BD is 40ft (given)
DC is 50% longer than BD this means that DC= BD+50% of BD
40ft +50/100 * 40
=40ft +20ft
=60ft
Another way to solve this could be DC is 150%of BD as BD =40ft=100% of it's length.
So, 150/100 *40
=60ft
Hope this helps.
Please mark me as brainliest.
find missing side of triangle, help!
Answer:
2√10 km
Step-by-step explanation:
By Pythagoras theorem,
x^2 + 9^2 = 11^2
x^2 + 81 = 121
x^2 = 121 - 81
x^2 = 40
= 4 x 10
x^2 = 2^2 x 10
x = 2√10 km
write an expression for 8 less than 2 times a number
show your work
Answer:
Step-by-step explanation:
Let's call the number x. The statement "...2 times a number" if the number is x looks like this:
2x
"8 less than" that looks like this:
... - 8
Putting the whole thing together:
2x - 8
3 miles. 128 yards. Converted to feet
PLISSSSSS HELPPPPPP!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
1.3
Step-by-step explanation:
The Rest Of Them Are Writen As Fractions
Answer:
[tex]\sqrt{10}[/tex]
NOTE: the other answer is WRONG...
irrational means can not be written as a fraction (with whole numbers)
4/3 = 1.33333333333
Step-by-step explanation:
Work out the area of this circle.
Give your answer in terms ofand state its units.
units:
Submit ANSWEI
6 mm
Plss help due in very soon
Answer:
36π mm²
Step-by-step explanation:
Formula: πr²
r=radius
r=6
π6²=36π
Consider the line y=7x-8.
Find the equation of the line that is parallel to this line and passes through the point (6, – 4).
Find the equation of the line that is perpendicular to this line and passes through the point (6, - 4).
Answer:
a). y = 7x - 46 b). y = -1/7x - 22/7
Step-by-step explanation:
a). y = 7x + b
-4 = 7(6) + b
-4 = 42 + b
-46 = b
y = 7x - 46
b). y = -1/7x + b
-4 = -1/7(6) + b
-4 = -6/7 + b
-22/7 = b
y = -1/7x - 22/7
Which equation can be used to determine the reference angle
Answer:
2nd option
Step-by-step explanation:
[tex]\frac{7\pi }{12}[/tex] is an angle in the second quadrant
Thus to find the reference angle, subtract from π , that is
r = π - θ
Using the table below, what is the rate of change? Don't forget to include your units.
Number of sodas 24
28
32
36
Total Cost ($)
18
21
24
27
Answer:
0.75
Step-by-step explanation:
Given the table :
Number of sodas 24
28
32
36
Total Cost ($)
18
21
24
27
The rate of change :
Rate of change = Rise / Run
Rise = y2 - y1 ; Run = x2 - x1
From the table :
Take number of sodas as X - axis
Total cost as Y - axis
Taking the points :
(24, 18) ;(36, 27)
x1 = 24 ; x2 = 36
y1 = 18 ; y2 = 27
Rise = (y2 - y1) = (27 - 18) = 9
Run = (x2 - x1) = (36 - 24) = 12
Rate of change = 9 / 12 = 0.75
hello! I'm having a bit of trouble trying to solve this, could anyone help explain it to me?
[tex]\displaystyle\ 60^2 =36(36+x)\\\\1296+36x=3600\\\\36x=2304\\\\\boxed{x=64}[/tex]
Step By Step Explanation:
[tex] {60}^{2} = 36(36 + x)[/tex]Step 1Calculate 60 to the power of 2 and get 3600.
[tex]3600 = 36(36 + x)[/tex]Step 2Use the distributive property to multiply 36 by 36 + ×.
[tex]3600 = 1296 + 36 \times [/tex]Step 3Swap sides so the all variable terms are on the left hand side.
[tex]1296 + 36 \times = 3600[/tex]Step 4Subtract 1296 from both sides.
[tex]36 \times = 3600 - 1296[/tex]Step 5Subtract 1296 from 3600 to get 2304.
[tex]36 x = 2304[/tex]Step 6Divide both side by 36.
[tex] \times = \frac{2304}{36} [/tex]Step 7Divide 2304 by 36 to get 64
My Answer is
[tex]\color{GREEN} \times = 64[/tex]Miguel is trying to find the height of a radio antenna on the roof of a local building. He stands at a horizontal distance of 22 meters from the building. The angle of elevation from his eyes to the roof (point A) is 26 degrees , and the angle of elevation from his eyes to the top of the antenna ( oint B) is 31 degrees If his eyes are 1.53 meters from the ground, find the height of the antenna (the distance from point A to point B). Round your answer to the nearest tenth of a meter if necessary.
Given the 22 m. horizontal distance and the angles of elevation of 26°
and 31° gives the height of the building as approximately 2.49 meters.
How can the height of the building be found?Horizontal distance from the building = 22 m
Angle of elevation to the top of the roof = 26°
Angle of elevation to the top of the antenna = 31°
Height of his eyes from the ground = 1.53 m
Required:
The height of the antenna.
Solution:
In a right triangle, we have relative to an angle of the triangle, we have;
Opposite side = Adjacent side
Height of the building + Height of antenna = [tex]1.53 + 22 \times tan \left(31^{\circ} \right)[/tex] ≈ 14.75
Which gives;
Height of the building = [tex]1.53 + 22 \times tan \left(26^{\circ} \right)[/tex] ≈ 12.26
Height of antenna = Height of the building + Height of antenna - Height of the buildingTherefore;
Height of the antenna ≈ 14.75 - 12.26 ≈ 2.49
Height of the antenna ≈ 2.49 mLearn more about trigonometric tangent ratio here:
https://brainly.com/question/24415242
A carpet manufacturer is inspecting for flaws in the finished product. If there are too many blemishes, the carpet will have to be destroyed. He finds the number of flaws in each square yard and is interested in the average number of flaws per 10 square yards of material. If we assume the standard deviation of the number of flaws per square yard is 0.6, the sample mean, , for the 10 square yards will a standard deviation of
Answer:
10 square meters will have a standard deviation of 1.897.
Step-by-step explanation:
Standard deviation for n instances of a variable:
If the standard deviation for one instance of a variable is [tex]\sigma[/tex], for n instances of the variable, the standard deviation will be of [tex]s = \sigma\sqrt{n}[/tex]
The standard deviation of the number of flaws per square yard is 0.6
This means that [tex]\sigma = 0.6[/tex]
For the 10 square yards will a standard deviation of
[tex]n = 10[/tex], so:
[tex]s = \sigma\sqrt{n} = 0.6\sqrt{10} = 1.897[/tex]
10 square meters will have a standard deviation of 1.897.
Clara lends half her collection of formal attires to her sister, Susan. Clara then buys four more attires. If she has 12 attires now, how many attires did Clara initially?
Answer:
16
Step-by-step explanation:
Number of attires Clara has initially = x
lends half her collection of formal attires to her sister
Attires remaining after lending = Number of attires Clara has initially - attires she lent her sister
= x - 1/2x
= 1/2x
Clara then buys four more attires
= 1/2x + 4
If she has 12 attires now
12 = 1/2x + 4
12 - 4 = 1/2x
8 = 1/2x
x = 8 ÷ 1/2
= 8 × 2/1
= 16
x = 16
Number of attires Clara has initially = x = 16
helpppppppppppppppp//////////////////////////////////////////
Answer:
m(x)
Step-by-step explanation:
Mrs. Nygaard needs 12 hours to grade all of her students’ projects. She made a chart to show how much time she could spend grading the projects during the week. Project Grading Day Hours Grading Monday 1 and three-fourths Tuesday 1 and one-half Wednesday 1 and one-fifth Thursday 2 Friday 1 and one-fourth How many hours will Mrs. Nygaard need to work over the weekend to finish grading the projects? 1 and three-fifths hours 4 and StartFraction 3 over 10 EndFraction hours 6 and one-half hours 19 and StartFraction 7 over 10 EndFraction hours
Answer:
B
Step-by-step explanation:
Option B is correct, 4 and 3/10 hours will Mrs. Nygaard need to work over the weekend to finish grading the projects.
What is Fraction?A fraction represents a part of a whole.
To find the total amount of time Mrs. Nygaard has available during the week to grade projects, we need to add up the hours for each day:
1 and three-fourths + 1 and one-half + 1 and one-fifth + 2 + 1 and one-fourth = 7 and five-tenths hours
This means that Mrs. Nygaard has 7.5 hours during the week to grade projects.
If she needs 12 hours to grade all the projects, then she will need to work for an additional:
12 - 7.5 = 4.5 hours over the weekend to finish grading the projects.
Therefore, 4 and 3/10 hours required to Mrs. Nygaard need to work over the weekend to finish grading the projects.
To learn more on Fractions click:
https://brainly.com/question/10354322
#SPJ7
Thank you very much you can help me with the others that I am uploading to my profile and there is more in case you can please
Answer: y = 2x + 20; x is any real number greater than or equal to 0, and y is any real number greater than or equal to 20.
Step-by-step explanation:
Because it's time, it don't have to be just integers. Seconds are fractions of minutes.(0,20) is the y-intercept and there will be no smaller y-values because x(time) cannot go negative.He goes at a rate of a problem per 2 minutes, so 2 is his slope.Answer:
The second one is the answer.
Step-by-step explanation:
Objective: Linear Equation Problems.
Let model the equation given to us.
Vlad spent 20 minutes on his homework already and he complete x math problems every 2 minutes so we represent this as
[tex]y = 2x + 20[/tex]
X can be any real number greater than or equal zero because time isnt negative so anything below zero is wrong.
Y can be any real number but however since Vlad spent 20 mins on his homework already, he must spend over or equal to 20 minutes completing the total homework.
The second one is the answer
Find the measure of each numbered angle for each figure
Answer:
Angle 1 is 58. Angle 2 is 32.
Step-by-step explanation:
The measure of Angle ACB is 90 because C is on the circle and A and B connect to form a diameter of the circle. So, Angle 1 and Angle 2 add up to 90 (total degrees in triangle - 90). Now you can add the expressions the question gave for Angle 1 and Angle 2, and you get 7x + 6. So you have the equation 7x + 6 = 90. Solve the equation and you get x = 12. Now you can plug in that value for x into the expressions for Angles 1 and 2 to find their measures.
Evaluate the expression 42 +6.52 – 33 = 32,
