x= -11
Hope this helps
:T
:B
:D
After two numbers are removed from the list $$9,~13,~15,~17,~19,~23,~31,~49,$$ the average and the median each increase by $2$. What is the product of the two numbers that were removed?
Answer:
The removed numbers are 13 and 19, and the product is:
13*19 = 247
Step-by-step explanation:
We have the set:
{9, 13, 15, 17, 19, 23, 31, 49}
The original median is the number that is just in the middle of the set (in a set of 8 numbers, we take the average between the fourth and fifth numbers)
then the median is:
(17 + 19)/2 = 18
and the mean is:
(9 + 13 + 15 + 17 + 19 + 23 + 31 + 49)/8 = 22
We want to remove two numbers such that the mean and the median increase by two.
Is immediate to notice that if we want the median to increase by two, we need to remove the number 19 and one number smaller than 17.
Then the median will be equal to:
(17 + 23)/2 = 20
which is 2 more than the previous median.
because 19 assume that we remove the 19 and number N.
To find the value of N, we can solve for the new mean:
((9 + 13 + 15 + 17 + 23 + 31 + 49 - N)/6 = 22 + 2
(this means that if we remove the number 19 and the number N, the mean increases by 2.
(9 + 13 + 15 + 17 + 23 + 31 + 49 - N)/6 = 22 + 2
(9 + 13 + 15 + 17 + 23 + 31 + 49 - N) = 24*6 = 144
157 - N = 144
157 - 144 = N = 13
This means that the other number we need to remove is 13
Then we remove the numbers 13 and 19
The product of the two removed numbers is:
13*19 =247
Answer:
247
Step-by-step explanation:
The average of the original numbers is 176/8 = 22. The median of the original numbers is the average of the middle two numbers: 17 + 19/2 = 18.
Thus, after removing two numbers, we should obtain a list of six numbers whose average is 24 and whose median is 20.
For the median of six numbers to be 20, the middle two numbers in that list must add up to 40. Searching our original list for pairs of numbers that add up to 40, we find two such pairs: 9, 31 and 17, 23. But 9 and 32 can't be the middle numbers after we remove two numbers, so 17 and 23 must be the middle numbers. This tells us that one of the removed numbers must be 19.
For the average of six numbers to be 24, the sum of the six numbers must be 6 ∙ 24 = 144. This is 32 less than the original sum of 176, so if one of the removed numbers is 19, the other must be 32 - 19 = 13.
Therefore, the product of the two removed numbers is 13 ∙ 19 = 247.
Raymond bought a car for $40,000. He took a 20,000 loan from a bank at an interest rate of 15% per year for a 5 - year period. What is the total amount ( interest and loan) that he would have to pay rhe bank at the end of 5 years
Answer:
$35,000
Step-by-step explanation:
The amount that would be repaid = amount borrowed + interest earned on loan
interest earned on deposit can be determined by determining the simple interest
Simple interest = principal x time x interest rate
principal = the amount deposited = 20,000
Time = the duration of the deposit =5
interest rate = the percentage on deposit that would be earned = 15
20,000 x 5 x 0.15 = $15,000
total = 20,000 + 15,000 = $35,000
A scientist used a microscope to count the number of bacterial cells in a petri dish every hour.
Which function most accurately represents this data, where n is the number of bacteria and 1 is the time elapsed, in hours?
a. n=2t
b. n=2^t
c n=t^2
d. n=√t
Answer:
a. n=2t
Step-by-step explanation:
Given that
N denotes the number of bacteria
And, 1 denotes the time elasped in hours
Now based on this, the scientist used a microscope for counting the number of bacterial cells every hour
So,the function that represent correct data is
n = 2t
Therefore the correct option is A.
The same would be considered
what is the equation of the line that has a slope of -3 and a y-intercept of -1
Answer:
y=4x+2
Step-by-step explanation:
A bag contains 7 red, 3 yellow, and 4 blue marbles. What is the probability of pulling out a blue marble, followed by a red marble, without replacing the blue marble first?
Answer:
2/13
Step-by-step explanation:
P(Red,Blue) = 4/14 × 7/13
simplified it becomes 2/13
Find the vertex of the parabola whose equation is y = -2x2 + 8x - 5.
A-(2, 27)
B-(2, 19)
C-(2, 3)
WILL MARK BRAINLIEST -JAYVEE
Determine the approximate length of the segment AD *
Answer:
35/6
Step-by-step explanation:
The right angle triangle ABC which has another triangle BCD, the length of segment AD is, 9.73 cm
What is Pythagoras theorem?It is the most important theorem of mathematics, which tells us the relationship between sides of the right angle triangle, which are known as Base(A), Height(B), Hypotenuse(H).
Pythagoras theorem,
H² = A² + B²
Given that,
Two triangle,
ΔABC and ΔBCD
Side lengths are ,
AC = 19cm
BC = 8cm
DC = 11cm
AC² = AB² + BC²
19² = AB² + 8²
AB = 17.23
Another ΔBCD
11² = DB² + 8²
DB = 7.5
The length of AD = AB - DB
= 17.23 - 7.5
= 9.73
Hence, the length of the segment is 9.73 cm
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If Y is inversely proportional to x and y=4 when x= 100, what is the value of y when x=250
Answer:
y=10
Step-by-step explanation:
[tex]\frac{4}{100}[/tex]=[tex]\frac{y}{250}[/tex]
cross-multiply, 4*250=100y
isolate the variable and solve for y, 1000=100y
divide 100 on both sides, 10=y
Consider the function f(x)=6x+5
(A) find it’s average rate of change by changing x=1 to x=5
Answer: I really don’t know
Step-by-step explanation: I need help with this as well. I’m really sorry if you were looking for a real answer
Please help me! Only have about 10 minutes until I have to submit this assignment!
Answer:
626
Step-by-step explanation
A carpet cleaner charges $50.97 to travel to the customers house and $15.11 per room cleaned. In the carpet cleaner charged $96.97 how many rooms did he clean?
What's the greatest common factor 25x^2 and 100x^4y^2
Answer:
I D K
Step-by-step explanation:
Jonah has two small bags of assorted doughnuts. Each bag contains exactly 8 powdered doughnuts.
Bag 1 contains 20 total doughnuts.
Bag 2 contains 24 total doughnuts.
What is the probability of Jonah grabbing
a powdered doughnut from
Bag 1?
Answer:
There is a 40% probability of Jonah grabbing a powdered doughnut from Bag 1.
Step-by-step explanation:
Total number of doughnuts in the bag 1 =20
Total powdered doughnuts in each bag = 8
Probability of selecting powdered doughnut from Bag 1 by Jonah =
[tex]\frac{8}{20} * 100\\40[/tex]%
Write 3.41 x 106 in standard form
(24 points)
Answer:
3,410,000
Step-by-step explanation:
3.41 * 10^6 = 3.41 * 1,000,000 = 3,410,000
Answer:
3,410,000
plz mark me as brainliest
Has anyone done the Alg1B Portfolio - Unit 6 for connections academy
Answer:
I have
Step-by-step explanation:
What is the measure of the other acute angle.....?
I really need to get this right plsss help me ❤️ I really need to get to an 90
the answer is 30°
EXPLAINATION:
since the angle is a right angle triangle one of it's angles is 90°, and all the angles of a triangle always add up to 180°
so, 90° + 60° + x = 180
150° + x = 180°
so x = 180° - 150° = 30°
hence, the other acute angle is 30°.
PLEASE ANSWER ASAP
At a carry-out burger restaurant, an order of 4 burgers, 2 orders of French fries and 3 fountain drinks cost $32.25. A second order of 6
burgers, 3 orders of French fries, and 6 fountain drinks costs $51.15. If three burgers and two fountain drink cost $13.05 more than two
orders of French fries, what is the cost of each
Answer:
hmmm I think u need to talk to ur teacher
Plz help 10 points :)
Need your help answer correctly for 20 points! <3
12.50 dollars per hour
Answer:
$12.50
Step-by-step explanation:
Hi,
Cassie: 250 / 20 = 12.5
Marli: 312.50 / 25 = 12.5
Brad: 350 / 28 = 12.5
Each worker makes $12.50 per hour.
I hope this helps :)
find the value of x and y, special right triangles
Answer:
25 and 135
Step-by-step explanation:
you see that the small square equals 90
write the equations of these parabolas in vertex form: • focus at (-5,-3), and directrix y = -6 • focus at (10,-4), and directrix y = 6
Answer:
y=0.12/1(x-5)^2 -3
y=1/10(x-10)^2 -4
Step-by-step explanation:
Given the directrix and focus of the parabolas, the equation of the parabolas are [tex]y=\frac{1}{6}(x^{2} +10x - 2)[/tex] and [tex]y=\frac{1}{20}(-x^{2} +20x - 80)[/tex].
What is equation of a parabola?Equation of a parabola is given by-
Distance of a point (x, y) on parabola from directrix = Distance of a point (x, y) on parabola from focus
focus = (-5, -3)
directrix = y = -6
[tex]\sqrt{(x+5)^{2}+(y+3)^{2} } = (y+6)\\\\ (x+5)^{2}+(y+3)^{2} = (y+6)^{2}\\\\x^{2} +25+5x = 6y+27\\\\y=\frac{1}{6}(x^{2} +10x - 2)[/tex]
focus = (10,-4)
directrix = y = 6
[tex]\sqrt{(x-10)^{2}+(y+4)^{2} } = (y-6)\\\\ (x-10)^{2}+(y+4)^{2} = (y-6)^{2}\\\\x^{2} +100-20x = -20y+20\\\\y=\frac{1}{20}(-x^{2} +20x - 80)[/tex]
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Which one of these is in scientific notation?
(47 points)
Answer:
8.98 * 10^6 is the scientific notation
Step-by-step explanation:
These tables represent an exponential function, find the average rate of change for the interval from x=9 to x=10.
The average rate of change for the interval from x=9 to x=10 is 39366
Exponential equationThe standard exponential equation is given as y = ab^x
From the values of the average change, you can see that it is increasing geometrically as shown;
2, 6, 18...
In order to , find the average rate of change for the interval from x=9 to x=10, we need to find the 10 term of the sequence using the nth term of the sequence;
Tn = ar^n-1
Given the following
a = 2
r = 3
n = 10
Substitute
T10 = 2(3)^10-1
T10 = 2(3)^9
T10 = 39366
Hence the average rate of change for the interval from x=9 to x=10 is 39366
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Answer:
39,366
Step-by-step explanation:
its right
Based on a recent survey of 500 students,
the circle graph below shows how students
communicate
with friends.
How many more students chose social
media apps than phone calls to
communicate with friends?
A. 180 students
B. 12 students
C. 300 students
D. 36 students
The starting salary of a starting teacher is $40,000, which will increase by 2% each year
What is the multiplier (growth factor) for this scenario?
1. .02
2. 1.02
3. 2
4. 1.2
Answer:
Choice B - (1.02)
Step-by-step explanation:
With the teachers starting salary being $40,000, we can rightfully assume that it their salary would not increase with Choice A, $40,000 * 0.2 = $800.
2% otherwise known as 0.02, would make the teachers yearly salary $40,000 * 1 + 0.02, or $40,000 * 1.02. Making the correct answer, Choice B - (1.02). (This would also give the teacher an additional $800 per year!)
Compare each set of rational numbers.
-1
2
✓ -1.5
1
o
2
-2
-1
-1 is a negative real and rational integer.
2 is a positive real number
[tex] \sqrt{ - 1.5} [/tex]
is an imaginary or nonreal number.
1 is rational
0 is rational
2 rational counting number
-2 is a negative integer
and do is -1
How many years would it take for
£109.27 to be accrued after
£100 is invested with 3%
pa compound interest.
Years:
Answer:
3 years approx
Step-by-step explanation:
Given data
Principal=£100
Amount= £109.27
Rate= 3%
The expression for the compound interest is
A=P(1+r)^t
Make t subject of formula we have
t= ln(A/P) / r
t= ln(109.27/100)/ 3
t= ln(1.0927)/0.03
t= 0.088/0.03
t= 2.93
Hence the time is 3 years approx
The quotient of a number more than 1 and 3 is 5
Answer:
https://brainly.com/question/13518166
Step-by-step explanation:
PLEASE HELP ME PUT THEM IN ORDER
Answer
picture below of order. Not entirely
Step-by-step explanation:
) Which relation is a function?
A) y2- x = 8
B) y2 + 3xy = 9y
C) y2 + x = 8x - 8
D) y =3/y- x2
Answer:
It is A
Step-by-step explanation:
If the y2 get subtracted by the 8 then itll be 8