Answer:
You can think of the mean being acually mean because you have to do more work. When solving for the mean you add all the answers together then divide by the amount of numbers you have. For example, you have the numers (1, 2, 3) add them together (1+2+3) to get 6 then divide by 3 (6/3) to get a mean of two. The median is also fairly easy to remember. You line your numbers up least to greatest, left to right. and mark one off of each side at a time. If you have a even amount of numbers and reach the center, you add the two centers together then divide by to to get the median. If you have an odd amount of numbers, there should be one in the exact center left over.
Step-by-step explanation:
Mean) 3+8+10+15=36, 36/4=9 ANSWER=9
Median) 8+10=18, 18/2=9 ANSWER=9
In the case, the mean and median are the same and depending on context you could choose either method. It also helps that there is no outlyer. If there were on I would recomend finding the median.
what is vertex of the graph of the function below y=x^2-10x+21
Answer:
(-4,5)
Step-by-step explanation:
Answer:
Step-by-step explanation:
it is (5,-4) the first answer is backwards
Solve absolute value equation 2|x-3|-8=2
Answer:
[tex]x=8, -2[/tex]
Step-by-step explanation:
[tex]2|x-3|-8=2[/tex]
[tex]2|x-3|=10[/tex]
[tex]|x-3|=5[/tex] [tex]|x-3|=-5[/tex]
[tex]x-3=5[/tex] [tex]x-3=-5[/tex]
[tex]x=8[/tex] [tex]x=-2[/tex]
If you were to buy 3 1/8 pounds of ham from the deli counter, the digital scale would show
Answer:
3.125 pounds
Step-by-step explanation:
Digital scale would show weights in decimal form
3 1/8 = 3.125 pounds
What is the complete factorization of the polynomial function over the set of complex numbers?
f(x)=x3−5x2+4x−20
Enter your answer in the box.
Answer:
[tex]x^3-5x^2+4x-20=(x-5)(x+2\mathbf{i})(x-2\mathbf{i})[/tex]
Step-by-step explanation:
Factorization of polynomials
Factor:
[tex]f(x)=x^3-5x^2+4x-20[/tex]
There are several techniques to factor polynomials. We'll use algebraic manipulation and common factor:
Separate in groups:
[tex](x^3-5x^2)+(4x-20)[/tex]
Factor out 4 from 4x-20:
[tex]=(x^3-5x^2)+4(x-5)[/tex]
Factor out [tex]x^2[/tex] from [tex]x^3-5x^2[/tex]
[tex]=x^2(x-5)+4(x-5)[/tex]
Factor out x-5:
[tex]=(x-5)(x^2+4)[/tex]
The roots of
[tex]x^2+4=0[/tex]
Are two complex numbers:
[tex]x=2\mathbf{i}, x=-2\mathbf{i}[/tex]
The complete factorization is:
[tex]\boxed{x^3-5x^2+4x-20=(x-5)(x+2\mathbf{i})(x-2\mathbf{i})}[/tex]
The equation p = 3.25b can be used to find the price, p, in dollars, of b pounds of blueberries at a particular supermarket. Each of the tables gives the prices of various pounds of blueberries at a different supermarket. Which of these tables represents blueberries that are more expensive than those represented by the equation? Select all that apply.
Answer:
Table C, Table D, Table E
Step-by-step explanation:
See attachment for tables
Given
[tex]p = 3.25b[/tex]
Required
Which of the tables is more expensive than the given function
To answer this question, we simply determine the equation of each table and then compare the equation with [tex]p = 3.25b[/tex]
Table A:
Consider two corresponding points in the table, we have:
[tex](b_1,p_1) = (1,2.75)[/tex]
[tex](b_2,p_2) = (4,11)[/tex]
Determine the slope
[tex]m = \frac{p_2 - p_1}{b_2 - b_1}[/tex]
[tex]m = \frac{11 - 2.75}{4 - 1}[/tex]
[tex]m = \frac{8.25}{3}[/tex]
[tex]m = 2.75[/tex]
The equation is determined as follows:
[tex]p - p_1 = m(b-b_1)[/tex]
[tex]p - 2.75 = 2.75(b-1)[/tex]
[tex]p - 2.75 = 2.75b-2.75[/tex]
[tex]p = 2.75b[/tex]
Comparing this equation to [tex]p = 3.25b[/tex], we have that:
[tex]2.75 < 3.25[/tex]
Hence:
This equation is less expensive than [tex]p = 3.25b[/tex]
Table B:
Consider two corresponding points in the table, we have:
[tex](b_1,p_1) = (1.5,3.75)[/tex]
[tex](b_2,p_2) = (6,15)[/tex]
Determine the slope
[tex]m = \frac{p_2 - p_1}{b_2 - b_1}[/tex]
[tex]m = \frac{15 - 3.75}{6 - 1.5}[/tex]
[tex]m = \frac{11.25}{4.5}[/tex]
[tex]m = 2.5[/tex]
The equation is determined as follows:
[tex]p - p_1 = m(b-b_1)[/tex]
[tex]p - 3.75 = 2.5(b-1.5)[/tex]
[tex]p - 3.75 = 2.5b- 3.75[/tex]
[tex]p = 2.5b[/tex]
Comparing this equation to [tex]p = 3.25b[/tex], we have that:
[tex]2.5 < 3.25[/tex]
Hence:
This equation is also less expensive than [tex]p = 3.25b[/tex]
Table C:
Consider two corresponding points in the table, we have:
[tex](b_1,p_1) = (2,7)[/tex]
[tex](b_2,p_2) = (4,14)[/tex]
Determine the slope
[tex]m = \frac{p_2 - p_1}{b_2 - b_1}[/tex]
[tex]m = \frac{14 - 7}{4 - 2}[/tex]
[tex]m = \frac{7}{2}[/tex]
[tex]m = 3.5[/tex]
The equation is determined as follows:
[tex]p - p_1 = m(b-b_1)[/tex]
[tex]p - 7 = 3.5(b - 2)[/tex]
[tex]p - 7 = 3.5b - 7[/tex]
[tex]p = 3.5b[/tex]
Comparing this equation to [tex]p = 3.25b[/tex], we have that:
[tex]3.5 > 3.25[/tex]
Hence:
This equation is more expensive than [tex]p = 3.25b[/tex]
Table D:
Consider two corresponding points in the table, we have:
[tex](b_1,p_1) = (2.5,10)[/tex]
[tex](b_2,p_2) = (5,20)[/tex]
Determine the slope
[tex]m = \frac{p_2 - p_1}{b_2 - b_1}[/tex]
[tex]m = \frac{20 - 10}{5 - 2.5}[/tex]
[tex]m = \frac{10}{2.5}[/tex]
[tex]m = 4[/tex]
The equation is determined as follows:
[tex]p - p_1 = m(b-b_1)[/tex]
[tex]p - 10 = 4(b - 2.5)[/tex]
[tex]p - 10 = 4b - 10[/tex]
[tex]p = 4b[/tex]
Comparing this equation to [tex]p = 3.25b[/tex], we have that:
[tex]4 > 3.25[/tex]
Hence:
This equation is more expensive than [tex]p = 3.25b[/tex]
Table E:
Consider two corresponding points in the table, we have:
[tex](b_1,p_1) = (6, 22.5)[/tex]
[tex](b_2,p_2) = (12,45)[/tex]
Determine the slope
[tex]m = \frac{p_2 - p_1}{b_2 - b_1}[/tex]
[tex]m = \frac{45 - 22.5}{12 - 6}[/tex]
[tex]m = \frac{22.5}{6}[/tex]
[tex]m = 3.75[/tex]
The equation is determined as follows:
[tex]p - p_1 = m(b-b_1)[/tex]
[tex]p - 22.5 = 3.75(b - 6)[/tex]
[tex]p - 22.5 = 3.75b - 22.5[/tex]
[tex]p = 3.75b[/tex]
Comparing this equation to [tex]p = 3.25b[/tex], we have that:
[tex]3.75>3.25[/tex]
Hence:
This equation is more expensive than [tex]p = 3.25b[/tex]
Table F:
Consider two corresponding points in the table, we have:
[tex](b_1,p_1) = (7, 21)[/tex]
[tex](b_2,p_2) = (14,42)[/tex]
Determine the slope
[tex]m = \frac{p_2 - p_1}{b_2 - b_1}[/tex]
[tex]m = \frac{42 - 21}{14 - 7}[/tex]
[tex]m = \frac{21}{7}[/tex]
[tex]m = 3[/tex]
The equation is determined as follows:
[tex]p - p_1 = m(b-b_1)[/tex]
[tex]p -21 =3(b -7)[/tex]
[tex]p -21 =3b -21[/tex]
[tex]p = 3b[/tex]
Comparing this equation to [tex]p = 3.25b[/tex], we have that:
[tex]3 < 3.25[/tex]
Hence:
This equation is less expensive than [tex]p = 3.25b[/tex]
13 and 5/8 plus 7/8 please answer quickly
13 5/8 + 7/8 = 14 1/2
5/8 + 7/8 = 1 4/8 = 1 1/2
1 1/2 + 13 = 14 1/2
Point P' is the image of P(-2,4) under a translation by 2 units to the left and 5 units down.
Answer:
(-4,-1)
X value: -2 - 2 = -4.
Y value: 4 - 5 = -1
if you can choose one scoop of ice cream and one topping, how many different sundaes can you make?
Answer:
I believe there is something wrong with ur question.
what is the sum of the place values of the number 6,453
Answer:
Thousands Hundreds Tens Ones6 4 5 3
Step-by-step explanation:
Number x Multiplier = Value6 x 1,000 6,000
4 x 100 400
5 x 10 50
3 x 1 3
Add up all of the values and you get 6,453.
w = 8.75h
What is an impossible value for h?
Answer:
h = 0.1 142857 w
Step-by-step explanation:
Answer:
hayy
Step-by-step explanation:
What are the values of x and y if this equation is true?
22(x + yi) + (28 + 4i) 72 – 62i
Answer:
x = 2
y = -3
Step-by-step explanation:
The given equation is,
22(x + yi) + (28 + 4i) = 72 - 62i
By solving this equation further,
22x + 22yi + 28 + 4i = 72 - 62i
(22x + 28) + (22y + 4)i = 72 - 62i
Now both the sides of the equation is in the form of complex number,
By comparing real and imaginary parts given on both the sides,
22x + 28 = 72
22x = 72 - 28
22x = 44
x = 2
22y + 4 = -62
22y = -62 - 4
22y = -66
y = -3
Therefore, x = 2 and y = -3 are the values for which the given equation is true.
Evaluate. 68.14 + 0.0007
Answer:
68.1407 us the answer
Step-by-step explanation:
Just add
In a group of 90 seventh
graders, 80% like hot chocolate.
How many students do not like
hot chocolate?
Answer: 18
Step-by-step explanation:
90 / 10 = 9 (10%)
9 x 8 = 72 (80%)
90 - 72 = 18 (20%)
PLEASE ANSWER ASAP!! WILL MARK BRAINLYIST
Find the value of the following expression.
Answer: 25 I believe
Answer:
25
Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)^c = a^(bc)
(a^b)(a^c) = a^(b+c)
(a^b)/(a^c) = a^(b-c)
a^0 = 1 . . . for a≠0
__
[tex](2^8\cdot5^{-5}\cdot19^0)^{-2}\cdot\left(\dfrac{5^{-2}}{2^3}\right)^4\cdot2^{28}\\\\=2^{8(-2)-3(4)+28}\cdot5^{(-5)(-2)+(-2)(4)}=2^{-16-12+28}\cdot5^{10-8}\\\\=2^0\cdot5^2=\boxed{25}[/tex]
A contractor purchases ceramic tile to remodel a kitchen. Each tile costs $4, and the adhesive and grouting material costs $17.82. If the contractor is charged a total of $581.82, how many ceramic tiles did the contractor purchase?
Answer:
The answer is 145 ceramic tiles
Step-by-step explanation:
$4 Divided by $581.82 = 145.455
Solve 12-5x-4kx=y for x
Answer:
x = - y-12/5+4k
Step-by-step explanation:
Solve 12-5x-4kx=y for x
12-5x-4kx = y for x
substract 12 from both side
-5x-4kx = y-12
Factor of -5x-4kx = -x(5+4k)
-x(5+4k) = y-12
Solve for x
-x = y-12/(5+4k)
Therefore x = - y-12/5+4k
what are the last ones
0.75 cups and 144 teaspoons
Step-by-step explanation:
I'm 99.99% sure I got it right
PLEASE ANWSER
POR FAVOR
Sorry the picture won't load for me I'm not sure if it's just my wifi.
Find the midpoint of the segment with the given endpoints.
(0,0) and (6.-8)
What is the greatest common factor of 18,9, and 45,
Answer:
9
Step-by-step explanation:
They all can be divided by nine.
18/9 = 2
9/9 = 1
45/9 = 5
Question in picture. Will mark brainleist if correct.
Answer:
the answer is A
Step-by-step explanation:
Order 2/3, 2/9, 5/6, 11/18 from least to greatest.
Answer:
2/9, 2/3, 8/11, 5/6.
Which inequality is true?
Answer:
2 1/3 > 2 1/6
Step-by-step explanation:
2.33 > 2.17 True
How do you know if it is inequality or not w/ fraction?
An equation or an inequality that contains at least one variable is called an open sentence. When you substitute a number for the variable in an open sentence, the resulting statement is either true or false. If the statement is true, the number is a solution to the equation or inequality.
To solve an inequality using the following steps:
1) Eliminate fractions by multiplying all terms by the least common denominator of all fractions.
2) Simplify by combining like terms on each side of the inequality.
3) Add or subtract quantities to obtain the unknown on one side and the numbers on the other.
Answer:
B
Step-by-step explanation:
I did the quiz
Which step can you use to solve the equation first -5+p=4?
Answer:
Step-by-step explanation:
You have to do the opposite of the firs t one. You are going to add 5 to the four to get
p = 9. There is your answer! Add on both sides!
Answer:
add 5 to both sides of the equal sign
Step-by-step explanation:
the answer will be p=9
i need help pleaseee❤️
Answer:
A"(2,11) B"(0,5) C" (4,3)
Step-by-step explanation:
(2x^4 + 3x^3 – 5x - 19)+(x^2 + 1)
Answer:
2x 4 +3x 3 +x 2 −5x−18
Step-by-step explanation:
What was the purpose for the creation of the Pythagorean theorem?
Answer:
Pythagoras believed that numbers were not only the way to truth, but truth itself. Through mathematics, one could attain harmony and live an easier life. He is said to have proposed a number of mathematical theorems to this end but, of all these, only the famous Pythagorean Theorem remains.
Step-by-step explanation:
A new television set was recently purchased for the common room in a Residence Hall for $408.00 including tax. If the tax rate is 2% , find the price of the television set before taxes.
Answer:
399.84
Step-by-step explanation:
408.00 x .98 (2% reduction from 100) = 399.84
Find the midpoint of the line with endpoints G(-4,4) and H(6,4)
Answer:
(1,4)
Step-by-step explanation:
Use the midpoint formula to find the midpoint of the line segment.
Rona filled out this information on her monthly statement. Find Rona's revised statement balance. Does her account reconcile?
Checking Account Summary
Ending Balance
$ 72571
Deposits
+ $610.00
Checks Outstanding - $ 471.19
Revised Statement Balance
Check Register Balance $ 864.52
Answer:
Revised statement balance=$ 864.52
Yes Rona's is account reconcile
Step-by-step explanation:
Calculation to Find Rona's revised statement balance
Using this formula
Revised statement balance=Ending balance+Deposits-Checks Outstanding
Let plug in the formula
Revised statement balance=$ 725.71+$610.00-$ 471.19
Revised statement balance=$ 864.52
Based on the above calculation the Revised statement balance of the amount of $ 864.52 is equal to the balance from checkbook which simply means that Rona's ACCOUNT is RECONCILE