Answer:
We have a data set with 6 whole numbers:
{A, B. C, D, E, F}
The median, in this case, will be the mean of the two middle numbers, C and D.
Median = (C + D)/2 = 40
We also know that the difference between the largest and the smallest number is 21, where the largest number is F and the smallest number is A, then:
F - A =21.
And the mean will be:
Now we want to take the largest possible numbers such that we end having the largest mean of the whole set, then we can start by taking:
(C + D)/2 = 40
Here we can just take:
C = 39
D = 41
Now our set is:
{A, B, 39, 41, E, F}
Now, A and B should be the largest possible whole numbers (and they must be smaller than 39
The two options are:
B = 38
A = 37
Now our set is:
{37, 38, 39, 41, E, F}
Now, remember that:
F - A = 21
F - 37 = 21
F = 21 + 37 = 58
Then our set will be:
{37, 38, 39, 41, E, 58}
And for E, we should pick the largest number that we could.
In this case, the only restrictions we have for E are that it must be larger than 41, and smaller than 58.
The largest number that meets those conditions is the number 57.
Then our set will be:
{37, 38, 39, 41, 57, 58}
And the mean of this set is:
Mean = (37 + 38 + 39 + 41 + 57 + 58)/6 = 45
what fraction of this shape is needed?
Answer:
14/30=7/15
........................
Is it possible for an even degree polynomial to have no real zeros?
Answer:
All polynomial functions of positive, odd order have at least one zero (this follows from the fundamental theorem of algebra), while polynomial functions of positive, even order may not have a zero (for example x4+1 x 4 + 1 has no real zero, although it does have complex ones).
Step-by-step explanation:
A bicycle has a listed price of $682.99 before tax. If the sales tax rate is 8.25%, find the total cost of the bicycle with sales tax
included.
Round your answer to the nearest cent, as necessary.
Answer:
739.34
Step-by-step explanation:
I need help with this problem, if someone could answer it, it'd make me happy^^
Find y in XYZ if measure Y = 36, measure X = 49, and x = 12.
Answer choice:
A. 0.04
B. 9.35
C. 14.80
D. 15.41
Mr. Lee mailed 3 packages. The greatest amount he paid to mail one of these packages was $3.60. The least amount he paid to mail one of these packages was $1.70. What could be the total amount Mr. Lee paid to mail the packages?
Answer:
8.30
Step-by-step explanation:
Lee mailed 3 packages
If he paid 1.70 for 1 package and 3.60 for 2 package
= 3.60×2 + 1.70
= 7.2+1.70
= 8.9
If Lee paid 3.60 for 1 package and 1.70 for 2 packages
= 3.60 + 1.70(2)
= 3.60 + 3.4
= 7
Hence the price paid to mail the thee packages is 8.30 because it falls in between 7 and 8.9
Answer: a. $8.30
Step-by-step explanation:
Highest paid was $3.60 and lowest paid was $1.70. There is a middle package that cost less than $3.60 and more than $1.70.
= 3.6 + 1.7
= $5.30
This rules out option c because we have not added the price of the third package and it is already higher than option c.
Add the maximum twice:
= 3.6 + 3.6 + 1.7
= $8.90
If the second package was assumed to have the same cost as the highest paid, the total would still be less than options b and d which makes them both wrong.
Option a is the most feasible answer.
1) Write the coordinates of the vertices after a translation 1 unit left and 5 units up.
R(1, 4)
S(1,4)
T(5, 4)
U(5,-4)
Answer:
0,9
0,9
4,9
4,1
Step-by-step explanation:
imagine the coordinates on a graph
Amy bought a sofa on sale for $511. This price was 27% less than the original price.
What was the original price?
Answer:
This price was 27% less than the original price...
this means that the price Scott paid was 73% of the original price.
(0.73) * (original price) = 511
solving for original price: original price = $ 700
3x-(2x+4)+5 what is the answer
Answer:
I LOVE ALGEBRA anyways
the ans is in the picture with the steps on how i got it
(hope that helped can i plz have brainlist it will make my day)
Step-by-step explanation:
Answer: x + 1
I did it in my head so i dont know the steps
Elena has a 3 by 4 inches that she wants to enlarge so the longest
side is 3 feet. How wide is it *
9 feet
27 feet
27 inches
2.8 feet
Find the height of a cone with a volume of 377 inches and a radius of 4 inches
Can a chord be a diameter?
Answer:
yes
Step-by-step explanation:
ΔABC ~ ΔEFD
Step-by-step explanation:
A diameter satisfies the definition of a chord, however, a chord is not necessarily a diameter. This is because every diameter passes through the center of a circle, but some chords do not pass through the center. Thus, it can be stated, every diameter is a chord, but not every chord is a diameter.Hope this is fine for youHELP ALSO EXPLAIN 15 POINTS !Chef Porter is making spaghetti sauce for his restaurant. He uses 5 pounds 12 ounces of tomatoes and 3 pounds 9 ounces of onions.
How many total ounces of tomatoes and onions does Chef Porter use?
Please help with math it’s trigonometry and laws of sine I’m being timed
Step-by-step explanation:
x² = 50²+ 55² - 2 • 50 • 55 • cos61°
anybody know the answer it's science but more ppl is on the math side
Answer:
im assuming it is because the metal draws heat from you faster than the plastic does
Step-by-step explanation:
Frankie wants to build a garden with a central walkway. The walkway measures 2 feet by 8 feet and he wants the garden to have the same width all around the walkway. Because of the size of the backyard, Frankie wants the total area of the garden with its walk way to be greater than 100 square feet.
Which inequality represents the combined area of the garden and walkway?
A: (2w+2) (w+8) < 100
B: (w+2) (w+8) < 100
C: (2w+2) (w+8) > 100
D: (w+2) (2w+8) < 100
PLEASE HELP ME!!
You have 12 CDs and choose 4 of them to play one evening. How many
orders of CDs are possible for playing the 4 CDs?
Answer:
3 orders of CDs
Step-by-step explanation:
So if you have 12 CDs and you are choosing 4 for one evening you get 8 more CDs for 3 evening.So what i did is 12 - 4 and it is equal to 8 CDs and You divide 4 in to 12 and it gives you 3.Your answer is 3 order of CDs because the question is asking how many order of CDs are possible for playing 4 CDs?
HELPPPP PLS IM BEING TIMED!! 10 POINTS
consider the pairs of ratios given in the first column and determine whether or not the ratios form a proportion
Ratios
Yes, they are
proportional
No, they are not
proportional
8 old rings for every 1 new ring 16 old rings for every 2
new rings
o
$9:4 visitors - $18:8 visitors
16 e mails to 6 text messages - 10 e-mails to 4 text
messages
SHOW HINT
Answer:
1) Proportinal
2)Non Proportinal
3)Proportinal
Step-by-step explanation:
Answer:
1. Yes
2. Yes
3. No
Step-by-step explanation:
Which statements are true about Aimee's and Theo's
work? Check all that apply
Aimee simplified before she multiplied.
Theo's product is correct.
Aimee divided out the factors 4 and 2 from 875 and
2012
Theo multiplied the numerators correctly but did not
multiply the denominators correctly.
Multiplying rational expressions in different ways
always results in different products.
Answer:
a c d
Step-by-step explanation:
What is the slope-intercept form of the equation of a line with a slope of 2 and a y-intercept of -7?
a. y = 2x - 7
b. 7x - y = -2
c. y = -2x + 7
d. y = -7x + 2
=====================================================
We're given:-
[tex]\bigstar{\boxed{\pmb{Slope:-~2;~y-intercept:-~-7}}[/tex]
To find:-
[tex]\bigstar{\boxed{\pmb{equation~of~the~line}}[/tex]
Solution:-
Notice that we're asked to write the line's equation in slope-intercept form.
Slope-intercept looks like so:
[tex]\bigstar{\boxed{y=mx+b}[/tex]
where m -> slope & b -> y-intercept
Oh wow, it's really easy now, because we should just plug in the values:-
[tex]\bigstar{\boxed{\pmb{\maltese{y=2x-7}}}}[/tex]
=================================================
note:-Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)
Graph the system of equations on the grid below and then mark ther point of intersex (Point C)
Y=3x+3
Y=x+5
Answer:
Step-by-step explanation:
do your best job
Point of intersection of equations is (1 , 6)
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
For example, 3x – 5 = 16 is an equation. Solving this equation, we get the value of the variable x as x = 7.
Given equations
y = 3x + 3 ---------(1)
y = x + 5 ---------(2)
Subtracting equation 2 from equation 1.
y - y = 3x + 3 - (x + 5)
0 = 3x + 3 - x - 5
0 = 2x - 2
x = 1
Putting value of x in equation 2
y = 1 + 5
y = 6
Intersection point,
(x , y) = (1 , 6)
Hence, (1 , 6) is the point of intersection of given equations.
Learn more about equation here:
https://brainly.com/question/20420746
#SPJ5
The population of a city is 150,000 and the annual growth rate is 6.9%. Write an equation to model
the population y after x year
Answer:
Step-by-step explanation:
[tex]y=150000(1.069)^x[/tex]
Which of the measures represent the sides of a right triangle A. B. C. D. 10, 12, 14 8, 11, 19 6, 7, 8 5, 12, 13
Answer:
A. 7
b. 14
c. 16
Step-by-step explanation:
At a manufacturing company, the percent of defective items produced on the assembly line is 2%. The company is testing a new assembly line designed to reduce the percent of defective parts. The
null and alternative hypotheses of the test are described as follows.
H : The percent of defective parts is at least 2%.
H : The percent of defective parts is less than 2%.
Which of the following describes a Type II error that could result from the test?
A) The test does not provide convincing evidence that the percent is less than 2%, but the actual percent is 3%.
Submit
B
The test does not provide convincing evidence that the percent is less than 2%, but the actual percent is 2%
C) The test does not provide convincing evidence that the percent is less than 2%, but the actual percent is 1%.
D
The test provides convincing evidence that the percent is less than 2%, but the actual percent is 2%
E
The test provides convincing evidence that the percent is less than 2%, but the actual percent is 1%.
Answer: C. the test does not provide convincing evidence that the percent is less than 2%, but the actual percent is 1%
Step-by-step explanation:
A Type II error occurs if a false null hypothesis is not rejected. In this case, the new assembly line does reduce the percent of defective items, but the test fails to detect it.
You can use the definition of type II error to identify what option describes a Type II error.
The option that describes a type II error that could result from the test is:
Option C) The test does not provide convincing evidence that the percent is less than 2% (ie we cannot reject null hypothesis and thus accept it), but the actual percent is 1% (ie the accepted null hypothesis was wrong in reality, thus, causing type II error)
What is Type I and Type II error?Firstly the whole story starts from hypotheses. The null hypothesis is tried to reject and we try to accept the alternate hypothesis.
The type 1 error occurs if we get false positive conclusion (false positive means we accuse null hypothesis being wrong when it was actually correct).The type 2 error occurs if we get false negative conclusion (false negative means we accept null hypothesis when it was actually false).The negative is just like the doctor's test getting negative means no disease. Similarly, if we conclude null hypothesis negative means it is accepted. If it is accepted wrongly means the negative test result was false, thus called false negative. This error is called type II error.
What is type II error in given context?Since the specified null hypothesis is [tex]H_0[/tex] = The percent of defective parts is at least 2%.
Thus, according to the aforesaid definition of type II error, we get:
Acceptance of null hypothesis since the test doesn't provide enough evidence for alternate hypothesis to be true or that the test doesn't provide enough evidence that the percent is less than 2% but the actual percent is less than 2%
Thus, Option C) The test does not provide convincing evidence that the percent is less than 2%(ie we cannot reject null hypothesis and thus accept it), but the actual percent is 1%(ie the accepted null hypothesis was wrong in reality, thus, causing type II error)
Learn more about type I and type II error here:
https://brainly.com/question/26067196
A ring is now reduced to £840.
This is a saving of 40% of the original price.
b) Work out the original price of the ring.
Answer:
840÷69=14
14×100=1400
Find the reference angle for a rotation of 320°.
Answer:
40°
Step-by-step explanation:
Can anyone help me with this question
I’ll mark you as a brainliest
Answer:
x=50°, x=70°
Step-by-step explanation:
for the first one, we will find the interior angle by using the exterior angle given
180-120=60°
to find x,
60°+ x + x+20=180°
80°+2x=180°
2x=100°
x=50°
for the second one, we will also find the interior angle by using the exterior angle given
180-200=20°
to find x,
20°+ x + x+20=180°
40°+2x=180°
2x=180°-40°
2x=140°
x=70°
1/7 x 7/8 + 3/4
HELP ME EXPLAIN!
Answer:
7 over 8
Step-by-step explanation:
Answer:
fraction: 7/8
decimal: 0.875
Step-by-step explanation:
Inequality for x: -25x +7 <107
Answer:
x>-4
Step-by-step explanation:
im pretty sure but i dont know
A school Buys 3 boxes of pencils. each box has an equal number of pencils. There are 4272 pencil altogether. How many pencils are in two boxes.
Answer:
Each box contains 1424 pencils;
There would be 2848 total pencils in two boxes.
Step-by-step explanation:
1424 x 2 = 2848 pencils
The diameter of a plant cell measures about 0.00012 m.
What is this number in scientific notation?
A
0.12 x 10-3
B 1.2 x 10-4
1.2 x 10-5
12.0 x 10-5