The median of the data set will be 15.5. The data set is in between the 1 to 25.
What is median?Median is such a number for the arranged data set in ascending or descending order, such that to its left and to its right belong the same number of observations.
The data set between the number is;
1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25
The value of IQR for data set is;
First Quartile Q1 = 6.5
Second Quartile Q2 = 13
Third Quartile Q3 =19.5
The median of the data set is;
[tex]\rm Median= \frac{15+16}{2} \\\\ Median= 15.5[/tex]
Hence, the median of the data set will be 15.5.
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some one please help me slove this I can't figure it out I will give Brainliest answer to who ever answer frist...
keeping in mind that twin sides stemming from a common vertex make twin angles at the "base", Check the picture below.
Which of the following is not a way to represent the solution of the inequality 5(x + 2) 2 7x + 2(x - 1)?
The following way is a way which can not be used to represent the solution of 5(x + 2) ≥ 7x + 2(x - 1) is "A number line with a closed circle on 3 and shading to the right".
How to solve inequality?5(x + 2) ≥ 7x + 2(x - 1)
5x + 10 ≥ 7x + 2x - 2
5x + 10 ≥ 9x - 2
collect like terms5x - 9x ≥ -2 - 10
-4x ≥ - 12
x ≤ -12/-4
x ≤ 3
Therefore, the correct answer is "A number line with a closed circle on 3 and shading to the right".
The complete question:
Which of the following is not a way to represent the solution of the inequality 5(x + 2) greater than or equal to 7x + 2(x − 1)? . A number line with a closed circle on 3 and shading to the right. . A number line with a closed circle on 3 and shading to the left. . 3 greater than or equal to x . x less than or greater to 3
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Find the slope of the line through the given points: (-19, 5), (19, 15)
Answer:
Step-by-step explanation:
(15 - 5)/(19 + 19)= 10/38= 5/19 is the slope
y - 5 = 5/19(x + 19)
y - 5 = 5/19x + 5
y = 5/19x + 10
In scientific notation, 8,700 is written:
8.7 x (10 1)
8.7 x (10 2)
8.7 x (10 3)
8.7 x (10 4)
The number 8700 written in scientific notation is 8.7 * 10^3
How to express the number in scientific notation?The number is given as:
Number = 8700
The scientific notation is represented as:
a * 10^b
Where a is between 1 and 10 and b is an integer representing the number of zeros
So, we have:
8700 = 87 * 10^2
Express 87 as 8.7 * 10
8700 = 8.7 * 10* 10^2
Evaluate
8700 = 8.7 * 10^3
Hence, the number 8700 written in scientific notation is 8.7 * 10^3
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Rachael took her dogs, Rico, Mocha, and Biscuit, to the vet. Rico weighed 45.7 kilograms, Mocha weighed 15.5 kilograms, and Biscuit weighed 22.1 kilograms. How much more did Rico weigh than Biscuit?
Subtraction is a mathematical operation that reflects the removal of things from a collection. The amount by which Rico weighs more than Biscuit is 23.6 kilograms.
What is subtraction?Subtraction is a mathematical operation that reflects the removal of things from a collection. The negative symbol represents subtraction.
Given Rico weighed 45.7 kilograms, Mocha weighed 15.5 kilograms, and Biscuit weighed 22.1 kilograms. Therefore, the amount by which Rico weighs more than Biscuit is,
Difference = 45.7 kgs - 22.1 kgs = 23.6 kgs
Hence, the amount by which Rico weighs more than Biscuit is 23.6 kilograms.
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3. There are 1800 students in a school, out of which 950 are girls and the rest are
boys. If 40% of the girls and 30% of the boys come to school by public transport,
find the number of students who come to school through other modes of
transportation?
The number of students who come to school through other modes o transportation is 1,165.
How do we solve a percentage problem?The number of students who come to school through other modes o transportation can be calculated as follows:
A = Number of girls that uses other modes o transportation = (100% - 40%) * 950 = 570
B = Number of boys that uses other modes o transportation = (100% - 30%) * (1800 - 950) = 595
C = Total number of studens that uses other modes o transportation = A + B = 570 + 595 = 1,165
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Sun cover manufactures umbrellas for a monthly fixed cost of $675,921.00 and a
variable cost per umbrella of $42.15. determine the break-even sales price per umbrella if sun cover manufactures 8,573 umbrellas per month
$109.95
$114.50
$120.99
$131.25
The break-even sales price per umbrella if sun cover manufactures the units is $120.99.
How to calculate the sales price?This can be done by using the formula:
Break even units = Total fixed cost / (Price - Variable cost)
8573 = 675921/(Price - 42.15)
8573(P - 42.15) = 675921
8573P - 361351.95 = 675921
8573P = 675921 + 361351.95
8573P = 1037273.4
P = 1037273.4/8574
P = $120.99
Therefore, the price is $120.99.
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Martin and Linda live 855 miles apart. At the same time, they start driving toward each other on the same road. Linda’s constant rate is 35 mph. Martin’s is 60 mph. How long will it take them to meet?
Answer:
Step-by-step explanation:
Givens
Linda 35 mphMartin 60 mphdistance travelled = 855 milesFormula
Linda's speed * t + martin's speed * t = 855
s1 * t + s2 *t = 855
Solution
35*t + 60*t = 855t Combine the left
95t = 855 Divide both sides by 95
95t/95 = 855/95
t = 9
Answer
They will meet in 9 hours.
Answer:
Option (D) is correct, 9 hours.
the amount (a) that principal (p) will be worth after t years at interest rate (r) compounded annually is
a = p(1 + r)^t
suppose $6,000 is invested at 5.5% and yields a total of $7,255. how many was it invested
The number of years the money was invested with annual compounding is 3.45 years.
How many years was it invested?When an amount earn interest compounded annually, it means that both the amount invested and the interest earned increases in value once a year.
Number of years = (In FV / PV) / r
Where:
FV = future valuePV = present valuer = interest rate(In 7255 / 6000) 0.055 = 3.45 years
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In the diagram, Ray K QJKM is a straight angle.
The true statements about the diagram given are:
3. m∠JKL = 45°
4. m∠MKQ + m∠PKQ = m∠PKM
5. PK is an angle bisector
What is an Angle Bisector?An angle bisector is a segment that divides a given angle into two parts that are congruent to each other.
The missing part of the question is in the image attached below.
In the image given, PK bisects the straight angle JKM since angles JKP and MKP both equal 90 degrees (right angle).
Therefore, m∠JKL = m∠PKL = 45°
m∠MKQ + m∠PKQ = m∠PKM based on the angle addition theorem.
Therefore, the true statements are:
3. m∠JKL = 45°
4. m∠MKQ + m∠PKQ = m∠PKM
5. PK is an angle bisector
(see image attached below)
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HELP ASAP....NO LINKS AND NO JOKES PLEASE
Which point represents one solution of the system of inequalities below
3x+8y<=480
y-x<=20
A. (50,50)
B. (40,40)
C. (20,60)
D. (10,40)
Explanation:
Given Inequalities:
(i) 3x + 8y ≤ 480
(ii) y - x ≤ 20
For first inequality:
(a) y intercept: (0, 60)
(b) x intercept: (160, 0)
Plot this line with a solid line and shade below.For second inequality:
(a) y intercept: (0, 20)
(b) x intercept: (-20, 0)
Plot this line with a solid line and shade below.The point (40, 40) falls between these two inequalities.
A philanthropist pledges to donate 10% of a fund each year. If the fund initially has $450,000 how much will
the fund have after 7 years?
Fund Balance = $
After 7 years fund balance will be $2152336.05 if the philanthropist pledges to donate 10% of a fund each year.
What is an exponential function?It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent. [tex]\rm y = a^x[/tex]
where a is a constant and a>1
We have:
A philanthropist pledges to donate 10% of a fund each year.
We can find the amount left after 7 years as follows:
A = 450000(1 - 0.1)⁷
10% of a fund each year.
Rate r = 10% = 0.1
A = 450000(0.9)⁷
A = $2152336.05
Thus, after 7 years fund balance will be $2152336.05 if the philanthropist pledges to donate 10% of a fund each year.
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1/3x + 1 = -2 PLEASE HELP
Answer:
x = -9
Step-by-step explanation:
1/3x + 1 = -2
1/3x = -2-1
1/3x= -3
x = -3 * 3
x = -9
Hey there!
1/3x + 1 = -2
SUBTRACT 1 to BOTH SIDES
1/3x + 1 - 1 = -2 - 1
SIMPLIFY IT!
1/3x = -2 - 1
1/3x = -3
MULTIPLY 3 to BOTH SIDES
1/3x * -3 = -3 * 3
SIMPLIFY IT!
x = -3 * 3
x = -9
Therefore, your answer should be:
x = -9
Good luck on your assignment & enjoy day!
~Amphitrite1040:)
All the perfect squares and perfect cube numbers ranging from 1-500
Slope of (1,-4) and (0,-5)
Answer:
Slope is 1
Step-by-step explanation:
use slope formula: m= [tex]\frac{y2-y1}{x2-x1}[/tex]
m= [tex]\frac{-5+4}{0-1}[/tex]
[tex]\frac{-1}{-1}=1[/tex]
m=1
Hope this helps!
If not, I am sorry.
Hi student, let me help you out! :)
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
We are asked to find the slope of
[tex]\star\mathrm{(1,-4)}[/tex]
[tex]\star\mathrm{(0,-5)}[/tex].
[tex]\triangle~\fbox{\bf{KEY:}}[/tex]
Use the slope formula.Here's the slope formula:
[tex]\star\boxed{\mathrm{\cfrac{y2-y1}{x2-x1}}}[/tex]
Input the values, which are:
y2=-5
y1=-4
x2=0
x1=1
[tex]\star\mathrm{\cfrac{-5-(-4)}{0-1}}[/tex]
Simplify!
[tex]\star\mathrm{\cfrac{-5+4}{-1}}[/tex]
[tex]\star\mathrm{\cfrac{-1}{-1}}[/tex]
[tex]\star\boxed{\mathrm{1}}[/tex]
Hope it helps you out! :D
Ask in comments if any queries arise.
#StudyWithBrainly
~Just a smiley person helping fellow students :)
[tex]\bf{\overline{\underline{\overline{\underline{Maribel\:Peri}}}}[/tex]
kantabai bought 1/2 kg tea and 5 kg sugar from a shop .she paid rupess 50 as return fare for rickshaw .total expense was rupess 700 .then she realised that by ordering online the goods can be bought with free home delivery at the same price .so next month she placed the order online for 2 kg tea and 7 kg sugar she paid rupess 880 for that .find the rate of sugar and tea per kg
Answer:
40 Rs per kg.
Step-by-step explanation:
solution
Let the rate of tea be x Rs per kg and that of sugar be y Rs per kg.
When Kantabai bought the items by going to the shop,
3/2x+5y+50=700
⇒3x+10y=1300....(I)
When Kantabai bought the items online then
2x+7y=880......(II)
Multiplying (I) with 2 and (II) with 3 we get
6x+20y=2600......(III)
6x+21y=2640.......(IV)
eq.(IV)−(III)
y=40
Putting the value of y =40 in (II)
2x+7(40)=880
⇒2x=880−280=600
⇒x=300
Thus, tea is at 300 Rs per kg and sugar is 40 Rs per kg.
Пожалуйста помогите с решением
Answer:
( x, y) =
[tex]65 \ \frac{15}{11} [/tex]
this is your answer
After 5 years, how much will marcia have saved in interest by consolidating the two balances? a. $1,526.40 b. $2,422.80 c. $105.00 d. $227.40
The closest among the choices is Choice C. $105. Differences in amount may vary in the rounding off of the decimal numbers.
The complete question is given below as:-
Marcia has two credit cards and would like to consolidate the two balances into one balance on the card with the lower interest rate. The table below shows the information about the two credit cards Marcia currently uses.
Card A
Card B
Amount
$1,879.58
$861.00
APR
14%
10%
Monthly Payment
$43.73
$18.29
After 5 years, how much will Marcia have saved in interest by consolidating the two balances?
a.
$1,526.40
b.
$2,422.80
c.
$105.00
d.
$227.40
What is income?The amount received by an employee by giving the service or work to any frim will be termed as the income.
Given:
Card A - 1,879.58 ; APR 14%; monthly -43.73
Card B - 861.00 ; APR 10% ; monthly -18.29
5 years x 12 months/yr = 60 months.
Card A = 43.73 x 60 = 2,623.80
Card B = 18.29 x 60 = 1,097.40
Total : 2,623.80 + 1,097.40 = 3,721.20
Lowest APR is 10%. monthly rate: 0.83%
Total Card balance: 1,879.58 + 861 = 2,740.58
A = P * (r(1+r)^n) / [(1+r)^n -1]
A = 2,740.58 * [0.0083 (1.0083)^60] / [(1.0083)^60 - 1]
A = 2,740.58 * 0.014/0.64
A = 2,740.58 * 0.022
A = 60.29 monthly payment.
60.29 x 60 = 3,617.40
Separate cards: 3,721.20
Consolidated: 3,617.40
Difference: 103.80
Therefore closest among the choices is Choice C. $105. Differences in amount may vary in the rounding off of the decimal numbers.
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Please help , giving brainliest .
Answer:
363.22
Step-by-step explanation:
Method 1:
You could find the whole figure surface area than divided by 1/2
Method 2: (the one I'm going to personally be doing)
Break the figure into two rectangular figures
Formula for surface area of rectangular prism:
A = 2(width x length + height x length + height x width)
Figure 1:
A = 2(width x length + height x length + height x width)
height = 3.8 yd
length = 10.1 yd
width = 4.3 yd
A = 2((4.3) x (10.1) + (3.8) x (10.1) + (3.8) x (4.3))
A = 2(98.15)
A = 196.3
Figure 2:
A = 2(width x length + height x length + height x width)
height = 8.4 yd
length = 10.1 yd
width = 2 yd
A = 2((2) x (10.1) + (8.4) x (10.1) + (8.4) x (2))
A = 2(121.84)
A = 243.68
There is overlapping surface area that shouldnt be include so we need to subtract it...
For one face of figure 1
3.8 x 10.1 = 38.38
Total:
Figure 1 + Figure 2 - 2(one face)
196.3 - 38.38 = 157.92
243.68 - 38.38 = 205.3
205.3 + 157.92 = 363.22
Is 0.2775 a rational number
Answer:
yes it is
Step-by-step explanation:
It is a rational number, as it can be written as a fraction.
The diagram shows line MN graphed on a coordinate plane.
Determine the slope of line MN.
Determine the length of line MN.
Answer:
slope has a gradient of -3/5
Step-by-step explanation:
change in y / change in X
-6 / 10
for the length use Pythagoras
Consider the original triangle and the scale drawing enlargement.
A triangle with a side measurement of 2 centimeters. 2 triangles have corresponding side lengths of 2 centimeters and 8 centimeters.
Figures not drawn to scale.
What is the scale factor?
Answer:
scale factor = 4
Step-by-step explanation:
the scale factor is the ratio of corresponding sides, image to original
scale factor = [tex]\frac{8}{2}[/tex] = 4
please help if u know :D
Answer:
B.
Step-by-step explanation:
We can start by dividing 3.5 and 0.75.
3.5/0.75 is 4.67.
Now, we multiply 4.67 by 1 since we are finding how much she walks in 1 hour.
1*4.67 is 4.67.
There is a 30% chance that Jerry will have to wait for the bus for more than five minutes to go to office. What is the probability that he does not wait for more than five minutes all 5 days this week?
The probability that he does not wait for more than five minutes all 5 days this week is 0.16807
How to determine the probability?The probability that he waits for more than 5 minutes is:
p = 30%
This means that the probability that he does not wait for more than 5 minutes is
q = 70%
If he does not wait for more than five minutes all 5 days this week, the probability is:
P = q^5
This gives
P = (70%)^5
Evaluate
P = 0.16807
Hence, the probability that he does not wait for more than five minutes all 5 days this week is 0.16807
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Jill jogs 3/4 of a mile in 1/10 of an hour at this rate how fast does she run one mile.
10 minutes
6 minutes
8 minutes
Answer:
8 minutes
Step-by-step explanation:
Jill jogs 3/4 of a mile in 1/10 hour.
⇒ 3/4 of a mile takes 6 minutes
For one mile :
3/4 mile x 4/3 : 6 x 4/3 minutes1 mile : 2 x 4 minutes1 mile takes 8 minutes1 mile she can run
1/10÷3/44/3(1/10)4/302/15hour8/60hour8 mins
John and Elijah are both driving from New York City to Richmond. John leaves
at 7:20 and averages 60 mph (miles per hour) on the way. Elijah leaves at 7:30
and averages 62 mph on the way. The situation is modeled by this system,
where x is the number of hours after Elijah leaves and y is the distance each
will travel.
y = 60x+10
y = 62x
How long after Elijah leaves will he pass John, and how far will they each
have traveled?
OA. Elijah will pass John after 4 hours, and they each will have traveled
248 miles.
OB. Elijah will not pass John, because he will never catch up with him.
C. Elijah will pass John after 5 hours, and they each will have traveled
310 miles.
D. Elijah will pass John after 2 hours, and they each will have traveled
128 miles.
2
5-
Elijah will pass John after 5 hours, and they each will have traveled 310 miles. Then the correct option is C.
What is speed?The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.
We know that the speed formula
Speed = Distance/Time
John and Elijah are both driving from New York City to Richmond.
John leaves at 7:20 and averages 60 mph (miles per hour) on the way.
Elijah leaves at 7:30 and averages 62 mph on the way.
The situation is modeled by this system, where x is the number of hours after Elijah leaves and y is the distance each will travel.
y = 60x + 10 ...1
y = 62x ...2
The time is taken by Elijah to cross John will be
62x = 60x + 10
2x = 10
x = 5 hours
The distance traveled in 5 hours will be
y = 62 (5)
y = 310 miles
Elijah will pass John after 5 hours, and they each will have traveled 310 miles.
Then the correct option is C.
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Answer:
c
Step-by-step explanation:
i took the quiz
Anyone please help me, deadline is tomorrow.༎ຶ‿༎ຶ wahhhhhhhh huhuhu
mean is average, add all numbers and divide by quantity of numbers.
Median is the middle value, list the numbers from smallest to largest and find the middle number.
mode is the number that appears the most.
1. Mean = 6
Median = 5
Mode = 6
2. Mean = 86.1
Median = 86.5
Mode = 85
What is the completely factored form of f(x)=x3+5x2+16x+80 ?
Answer:
The complete factored form of the given [tex]f(x)[/tex] is [tex](x+5)(x^2+16)[/tex].
Step-by-step explanation:
Answer:
f(x)=x*3+5x+2+16x+80 y=x*3+5x*2+16x+80 x=y*3+5y*2+16y+80=8 3y+10y+16y+80=x29y+80=x29y=x-80y=1/29x-80/29 f(x)-1=1/29x-80/29
Solve: log8 (x - 4) = 2
Answer:
x = 68
Explanation:
⇒ log₈(x - 4) = 2
apply log rules: logₐN = x then N = aˣ
⇒ (x - 4) = 8²
simplify
⇒ x - 4 = 64
add 4 on both sides
⇒ x = 64 + 4
add the integers
⇒ x = 68
Answer:
x = 68
Step-by-step explanation:
Given equation:
[tex] \rm log_{8}(x - 4) = 2[/tex]
To Find:
Value of x
Solution:
Rewrite the equation in exponential form which is equivalent to b^y = x.
[tex] \implies {8}^{2} = x - 4[/tex]
Now find the value of x.
[tex] \implies \:64 = x - 4[/tex]
Transpose 4 from RHS to LHS, make sure to change its sign from (-) to (+) .
[tex] \implies \: 64 + 4 = x[/tex]
Overturn the equation
[tex] \implies \: x = 68[/tex]
Thus, value of x is 68.
Can someone please help me with this?
Answer:
Answer Option C
Step-by-step explanation:
They make a big plus sign, PLUS=PERPENDICULAR