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.
7. Jerry has 23 coins in nickels, n, and dimes, d. He
has $1.95 altogether. How many nickels does Jerry
have?
Answer:
17 nickles !
Step-by-step explanation:
First, identify the variables:
n = amount of nickels
d = amount of dimes
Next, setup the equations based on what you know. The first equation is:
n + d = 28
For the second equation, we know that a dime is worth 10¢ and a nickel is 5¢, so it should be:
0.05n + 0.10d = 1.95
This a three-step answer:
In one formula (you can use any of them; most people use the simplest one), single out the variable on one side
Apply the first formula into the second formula, and solve it to get the value of one variable
Apply the answer from the second formula into the first formula, and solve it to get the value of the other variable
======
Step One:
n + d = 28
n + d - d = 28 - d
n = 28 - d
Step Two:
0.05n + 0.10d = 1.95
(0.05 * (28 - d)) + 0.10d = 1.95
1.40 - 0.05d + 0.10d = 1.95
1.40 + 0.05d = 1.95
1.40 - 1.40 + 0.05d = 1.95 - 1.40
0.05d = 0.55
d = 11
Step Three:
n = 28 - d
n = 28 - 11
n = 17
======
Your answer should be 17 nickels and 11 dimes.
You can double check by applying the variables into both formulas.
n + d = 28
17 + 11 = 28
28 = 28
0.05n + 0.10d = 1.95
(0.05 * 17) + (0.10 * 11) = 1.95
0.85 + 1.10 = 1.95
1.95 = 1.95
I hope this helped.
Aaron bought a stereo system for $55 and spends $8.45 on parts. He sells the system for
$60. What is his profit/loss?
Answer:
his loss is $3.45
Step-by-step explanation:
you just add then subtract
HELPPPPPPP!!!!!!!!!!!!!!
Answer:
the top and bottom ones
Step-by-step explanation:
What is the area of the base ? / / / / /
Answer:
area of base = 20 in²
Step-by-step explanation:
area of base = 2 x 10 = 20 in²
In which step did John first make a mistake?
look at photos
Answer:
John did not make a mistake
Step-by-step explanation:
he did everything correct
Can some please help me on question 2 I am just confused.
Answer:
ok so weknow tht 160 pounds cost 9.60 how much do u think will 1.50 cost
Step-by-step explanation:
is y = 7/8x proportional or non-proportional??
Answer:
It is proportional
Step-by-step explanation:
May have brainllest I only need 39 more to get to genius
PLZZZ ANSWER HURRY 25 POINTS
Answer:
3
Step-by-step explanation:
Ms. Ruiz has a piece of fabric that is 3 3/4 yards long. She waves to cut it into 12 equal pieces. How many yards will each piece of fabric be
Answer:
the number of yards be 0.3125
Step-by-step explanation:
The computation of the number of yards will each piece of fabric be is shown below:
Given that
There is [tex]3 \frac{3}{4}[/tex] yards long i.e. 15 ÷ 4
And, it should be cut into 12 equal pieces
So, the number of yards will each piece of fabric be is
= 15 ÷ 4 ÷ 12 ÷ 1
= 15 ÷ 48
= 0.3125
Hence, the number of yards be 0.3125
Answer:
5/16
Step-by-step explanation:
3 3/4= 13/4
13/4 ÷ 12= 0.3125
0.3125 = 5/16
you want to insert a fill color into a worksheet. what is the first step . Plzz help I’m literally stuck
A boat covers 25 km upstream and 44 km downstream in t hours. Also, it covers 15 km upstream and 22 km downstream in 5 hours. Find the speed of the boat in still water and that of the stream.
9514 1404 393
Answer:
boat speed: (7t -95)/(6t² -110t +500)
stream speed: (37t -345)/(6t² -110t +500)
Step-by-step explanation:
The relation between time, speed, and distance is ...
time = distance/speed
The boat speed (b) is added to the stream speed (s) going downstream. The stream speed is subtracted going upstream. The given relations tell us ...
25/(b-s) +44/(b+s) = t
15/(b-s) +22/(b+s) = 5
This gives us 2 equations in 3 unknowns, so we can only provide a solution in terms of one of the unknowns. Since we are asked for the speeds, they will be provided in terms of t.
Subtracting the first equation from 2 times the second gives ...
2(15/(b-s) +22/(b+s)) -(25/(b-s) +44/(b+s)) = 2(5) -(t)
5/(b-s) = 10 -t
5/(10 -t) = b -s
Substituting for b-s in the second equation gives ...
15/(5/(10-t)) +22/(b+s) = 5
30 -3t +22/(b+s) = 5
22/(b+s) = 3t -25
22/(3t -25) = b+s
Adding the equations for the sum and difference of speeds, we get ...
(b-s) +(b+s) = 5/(10-t) +22/(3t -25)
2b = (5(3t -25) +22(10 -t))/((10-t)(3t-25)) = (95 -7t)/((10-t)(3t-25))
b = (7t -95)/(6t² -110t +500)
Subtracting the equations for sum and difference of speeds, we get ...
(b+s) -(b-s) = 22/(3t -25) -5/(10 -t)
2s = (22(10-t) -5(3t -25))/((10-t)(3t-25))
s = (37t -345)/(6t² -110t +500)
__
The speed of the boat in still water is (7t -95)/(6t² -110t +500) km/h.
The speed of the stream is (37t -345)/(6t² -110t +500) km/h.
__
Note that these solutions only make sense for values of t between 25/3 and 345/37, approximately 8.33 < t < 9.32. For t=9 hours, the boat speed is 8 km/h and the stream speed is 3 km/h.
if f (x) =5x^{2} what is 3 f (x) ?
Answer:
15x²
Step-by-step explanation:
Given
f(x) = 5x² , then
3f(x) = 3 × 5x² = 15x²
It takes 76 pounds of seed to completely plant an 11-acre field. How many pounds of seed are needed per acre?
Answer:
6 pounds and 9 ounces
or 7 pounds when rounded
can some give me the anwsers
Answer:
150 -160
Step-by-step explanation:
I not amazing at this but i do know this is kinda hard. sorry if it is wrong
Use the information from the graphs to write the equation in y=ab*^x
Answer:
1). y = 4(1.75)ˣ
2). y = (2)ˣ
Step-by-step explanation:
1). Let the equation of the given exponential graph is,
y = a(b)ˣ
Graph of the given equation passes through two points (0, 4) and (0+1, 4+3)
For point (0, 4),
4 = a(b)⁰
a = 4
For point (1, 7),
7 = 4(b)¹
b = [tex]\frac{7}{4}[/tex]
b = 1.75
Therefore, equation of the function is,
y = 4(1.75)ˣ
2). Similarly, equation of the second graph will be same in the form of
y = a(b)ˣ
Second graph passes through the points (0, 1) and (2, 4)
For (0, 1),
1 = a(b)⁰
a = 1
For (2, 4),
4 = 1(b)²
b = 2
Therefore, exponential function representing the graph will be,
y = 1(2)ˣ
y = 2ˣ
Gina is 16 years older than her nephew Paul. In 3 years, she will be 3 times older than Paul. How old are Gina and Paul currently?
9514 1404 393
Answer:
Paul: 5Gina: 21Step-by-step explanation:
In 3 years, the 16-year age difference will be 2 times Paul's age. (3p -p = 2p) Then, Paul will be 8.
Paul is 5 now, and Gina is 21.
Simplify the expression below.
4x+ 3(2x−1) − 4x
Answer:
=6x−3
Step-by-step explanation:
Let's simplify step-by-step
4x+3(2x−1)−4x
Distribute:
=4x+(3)(2x)+(3)(−1)+−4x
=4x+6x+−3+−4x
Combine Like Terms:
=4x+6x+−3+−4x
=(4x+6x+−4x)+(−3)
=6x+−3
Answer:
6x - 3
Step-by-step explanation:
4x + 3(2x - 1) - 4x
Distribute, multiply every term inside the parenthesis by the term outside of it,
4x + (3)(2x) + (3)(-1) - 4x
Simplify,
4x + 6x - 3 - 4x
Simplify further, combine like terms,
6x - 3
PLEASE HELP ASAP PLEASE
Answer:
3
plz follow me
potphcloysidyodoyzyozlhph
*WILL GIVE BRAINLIEST FOR THE BEST ANSWER NO VIRUS LINKS OR ILL REPORT YOU*
Which of these statements best describes a biased sample?
A. The sample is small
B. The sample has results that are incorrect predictions
C. The sample does not accurately represent the population
D. The sample was chosen randomly
Answer:
C) The sample does not accurately represent the population
Answer:
C
Step-by-step explanation:
If you go to go o g l e and search up "bias sample examples" it will give you examples! I hope I helped :)
Pls help ASAP I DONT have time
Answer:
B: y = 3x + 6
Need ASAP! Will give brainliest!
PLEASE HELP. no links.
Answer:
45 i think
Step-by-step explanation:
I need help pls:(((((((((((((((((
Answer:
108
Step-by-step explanation:
We first must find the total per year of every family.
Remember... there are 12 months in a year
Wilson: 18 × 12 = 216
Kumar: 16 × 12 = 192
Lopez: 27 × 12 = 324
Anders: 14 × 12 = 168
Johnson: 15 × 12 = 180
The Lopez family borrows the most. (324 books)
The Wilson family borrows the second most. (216 books)
324 - 216 = 108
Complete the following table using the equation: y = x squared
x
-3
-1
0
1
3
y
Plot the points on a graph and determine which graph best represents the equation.
Graph A
On a coordinate plane, a parabola opens up and goes through (negative 2, 4), has a vertex at (0, 0), and goes through (2, 4).
Graph B
On a coordinate plane, a parabola opens down and goes through (negative 2, negative 4), has a vertex at (0, 0), and goes through (2, negative 4).
a.
-9, -1, 0, -1, -9; Graph B
b.
9, 1, 0, 1, 9; Graph B
c.
9, 1, 0, 1, 9; Graph A
d.
-9, -1, 0, -1, -9; Graph A
Answer:
Step-by-step explanation:
ITS A
Answer:
The answer is C , Graph A
Step-by-step explanation:
I GOT A FAKE ANSWER ON THE LAST ONE SO PLEASE HELP FOR REAL NOT FOR THE POINTS
This is your chance to demonstrate your basketball skills! You have been chosen to participate in a paper-ball throwing contest.
Directions:
1. Use the scrap paper to make 10 paper balls per group. (Wad the paper balls up tightly so they are easier to aim.)
2. Place a trash can (or other large container) 5 feet away.
3. Predict how many paper balls you will be able to get into the basket. Type your prediction.
4. Type your results as a fraction.
5. Type your results as a decimal.
Answer: 3/5 or 0.6
Step-by-step explanation: It would take 2 shots for me to fine tune the force I need to get a perfect shot. If you divide 3 by 5 you get 0.6.
Tell whether the angles are adjacent or vertical. Then find the value of x. The angles are . Question 2 x=
Answer:
Adjacent
x = 14
Step-by-step explanation:
Find the diagram attached
Adjacent angles places side by side and can also be on the same straight line. Since 5x and x+96 are on the same straight line ans placed side by side, then the angles are adjacent.
The sum of angle on a straight line is 180 degrees, hence;
5x + x+ 96 = 180
6x = 180 - 96
6x = 84
x = 84/6
x =14
The value of x s 14
Plz need help i cant do it
Answer
adding 2
Step-by-step explanation:
Median is 8
I don't know if this is correct but I tried.
Margaret owns (5/6) of a section of land. She planted corn on (1/4) of her land. What fraction of the entire section is planted with Margaret’s corn?
Answer:
3/5
Step-by-step explanation:
subtract the fractions then turn the decimal into a fraction.
Question 5 1 To get from my home to my school, I travel approximately 4.1 miles east, then approximately 4.7 miles north. What is the approximate distance from my home to my school, rounded to the nearest tenth of a mile? * School Distance Home 90°
Answer:
I hope you find the answer
William has a coin and a spinner, shown below. He can flip heads or tails on the coin and spin numbers 1 through 8 on the spinner. He flips the coin once and spins the spinner once. What is the probability that the coin will land on heads and the spinner will land on an odd number?
Answer:
1/4
Step-by-step explanation:
Coin sample Space = {H, T}
Spinner sample space = {1, 2, 3, 4, 5, 6, 7, 8}
Probability that coin lands on head :
P(H) = 1 /2
Probability that spinner lands on odd number :
Odd numbers = {1, 3, 5, 7} = 4
P(spinner lands on odd) = 4 / 8 = 1/2
Hence, probability that the coin will land on heads and the spinner will land on an odd number = (1 /2 * 1/2) = 1/4
