Answer:
1. 4
2. 39.3700787 (just round it up)
Find five numbers so that the mean, median, mode and range is 4.
Answer:
Let’s break this apart
Well we know the median has to be 4
Since it’s 5 numbers the middle number has to be 4 since its the median.
Let’s put in what we know.
a, b, 4, d, e
Constraints:
There has to be more then 1 “4”.
e-a = 4
So using that information lets solve since the possibility is almost endless
SO lets make e 5 and a 1.
1, b, 4, d, 5
There has to be more then 1 4 so lets put that as b.
We can solve for the last remaining digits.
1+ 4 + 4 + d + 5 / 5 = 4
14 + d /5 = 4
2.2 + d = 4
1.8 = d
So now if we put in order and replace b with 1.8 and make d as the previous “b” as 4.
1, 1.8, 4, 4, 5
Thats your 5 numbers right there.
Check:
Mode is 4: yes!
Range is 4: 5-1 = 4 yes!
Median is 4: yes!
Mean is 4: 1 + 1.8 + 4 + 4 +5 / 5 = 4 yes!
Every thing checks out.
There could be a lot of possibilities.
For example take this wrong one
Lets make the same exact thing except change the a and the e.
THis is what we have,
a, b, 4, d, e
Lets make e and a as 6 and 2. 6-2 is still 4 so its possible.
2, b, 4, d, 6
And of course we need more then 1 4 so lets make d 4.
2, b, 4, 4, 6
Now solve for b in the mean.
2 + b + 4 + 4 + 6 / 5 = 4
16 +b /5 = 4
3.2 + b = 4
Solve
B = 0.8
This doesn’t work cause the median and the range has constraint here…
When doing a median, it has to be in ORDER.
2, 0.8, 4, 4 , 6 isn’t in order
ANd even when put in order.
0.8, 2, 4, 4, 6
THe range has the constraint here becuase 6 - 0.8 isn’t 4.
The proof that ΔEFG ≅ ΔJHG is shown.
Given: G is the midpoint of HF, EF ∥ HJ, and EF ≅ HJ.
Prove: ΔEFG ≅ ΔJHG
Triangles E F G and J H G share common point G.
Statement
Reason
1. G is the midpoint of HF 1. given
2. FG ≅ HG 2. def. of midpoint
3. EF ∥ HJ 3. given
4. ? 4. alt. int. angles are congruent
5. EF ≅ HJ 5. given
6. ΔEFG ≅ ΔJHG 6. SAS What is the missing statement in the proof?
∠FEG ≅ ∠HJG
∠GFE ≅ ∠GHJ
∠EGF ≅ ∠JGH
∠GEF ≅ ∠JHG
Answer: ∠GFE ≅ ∠GHJ
Step-by-step explanation:
In triangle EFG, we have side FG (which is opposite angle E) and EF (the side opposite angle G).
For SAS, we need the angle in between these sides, which would be angle F.
Answer:
B.∠GFE ≅ ∠GHJ
Step-by-step explanation:
got it correct on my quiz
How to write 12/4 as a whole number
Answer:
3
Step-by-step explanation:
12 Divided By 4 Is 3
And 3 Is A Whole Number
Your answer is 3
Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!
Please help, I don’t know the answer
Answer:
a. height: 36 units
b. radius: 4 units
Step-by-step explanation:
The volume of a cone is given by the formula ...
V = 1/3πr²h . . . . . for radius r and height h
This tells you the volume is jointly proportional to the height and the square of the radius. This means that for a given volume, the height is inversely proportional to the square of the radius. We can use this proportionality to answer the questions here.
__
a.The radius of Cone B is 2 units. Compared to Cone A, the radius of Cone B is 2/6 = 1/3 of the radius of cone A. The square of this ratio is (1/3)² = 1/9, and the inverse of that square is 9/1. This means the height of Cone B is 9 times the height of Cone A, so is ...
Cone B height = 9 × 4 units = 36 units
__
b.The height of this Cone B is 9 units, whereas the height of Cone A is 4 units. This means the height of Cone B is 9/4 times the height of Cone A. This is the inverse of the square of the ratio of radii of Cone B to Cone A. Inverting the height ratio, we get 4/9. Taking the square root of that, we get √(4/9) = 2/3. This means the radius of Cone B is 2/3 the radius of Cone A:
Cone B radius = 2/3 × 6 units = 4 units
_____
Additional comment
We can check the above dimensions using the volume formula.
a. V = 1/3π(2 units)²(36 units) = 48π units³
b. V = 1/3π(4 units)²(9 units) = 48π units³
These are the expected volume, so the answers check OK.
Please Help I have tried and can not get the correct answer
Find the x- and y-intercepts of the graph of the function f(x) = -4|x+1| +8
Enter your answers as points, (a,b)
Enter the x-intercepts in order of increasing x-value. if there are no x-intercepts, enter NA in both answer areas
x-intercepts: __________
__________
y-intercepts ___________
Answer:
(-3, 0) and (1, 0)
(0, 4)
Step-by-step explanation:
x-intercept is the point where y = 0.
y-intercept is the point where x = 0.
or points ...
f(x) = y = -4×|x + 1| + 8
let's start with the y-intercept (x = 0)
y = -4×1 + 8 = -4 + 8 = 4
the y-intercept point (only 1 point) is (0, 4).
for x = 0 the absolute value function contains 0+1. and that is always +1.
the x-intercept(s) :
0 = -4×|x + 1| + 8 (dividing by -4)
0 = |x + 1| - 2
|x + 1| = 2
because of the absolute value we have 2 possibilities :
+(x + 1) = 2
x + 1 = 2
x = 1
and
-(x + 1) = 2
-x - 1 = 2
-x = 3
x = -3
so the points of x-intercept are (-3, 0) and (1, 0)
Can someone help me!
Answer:
Top left.
Step-by-step explanation:
A rectangle has an area of 31.2 square millimeters and a heigt of 5.2 millimeters. What is the length of the base
Answer:
6 millimeters
Step-by-step explanation:
The formula for a rectangle is length * height = area.
Since we know the area and height, we can plug it in to the formula:
length * 5.2 = 31.2
So the length is just dividing 5.2 in 31.2 which gives 6 millimeters.
mathematics pls help 4 questions will give brain to best answer
Answer:
1)ur first answer is 12
2)Your median is 9
3)9
4) range 7
Step-by-step explanation:
it’s the most common number
The middle numbers are 8 and 10.9 is the number in between them which mean it is the median
4) you subtract the biggest number with the smallest one 12-5=7
Answer:
[1] 12
[2] 9
[3] 9
[4] 5
Step-by-step explanation:
[1] What is the mode for the following set of data?
5,7,8,10,12,12
Answer = 12
Explanation: Mode is what most appears in data set. Thus, we see that 12 is the mode.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~[2] What is the median for the following set of data?
5,7,8,10,12,12
Answer = 9
Explanation:
Median is basically what in the middle.
5,7,8,10,12,12
5,7,8,10,12,12
Since there are two number in the middle: Add them up and then divide by 2. 8 + 10 = 18/2 = 9
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
[3] What is the mean for the following set of data?
5,7,8,10,12,12
Answer = 9
Explanation:
Mean is add all the number up and then divide by total number in data set
5 + 7 + 8 + 10 + 12 + 12 = 54
Total number in data set : 6
54/6 = 9
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
[4] What is the range for the following set of data?
5,7,8,10,12,12
Answer = 5
Explanation:
Range = IQR = Q3 - Q1
Knowing that;
Quartiles:
Q1 --> 7
Q2 --> 9
Q3 --> 12
Hence, 12 - 7 =5
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Lenvy~
What is the horizontal distance from the origin to the point (1,4)
Answer:
given ,
a point , let's say , A( 1 , 4 ) on the cartesion plane.
to find - the horizontal distance of the point from the origin.
[tex]\underline\bold{using \: Distance \: formula \:} \\ \\ d(AO) = \sqrt{( x_{2} - x_{1}) {}^{2} +( y_{2} - y_{1}) {}^{2} } \\ \\ d(AO) = \sqrt{(1 - 0) {}^{2} + (4 - 0) {}^{2} } \\ \\ d(AO) = \sqrt{1 + 4} \\ \\ d(AO) = \sqrt{5} units [/tex]
hope helpful :D
simplify and tell the function
2x - 5
Step-by-step explanation:I just know and am positive with my answer. Hope this helped and have a good one!
4, 5, 4, 7, 9, 4, 9 what is the mean and median
Answer:
Median: 5
Mean: 6
Step-by-step explanation:
4,4,4,5,7,9,9
(4x3)+5+7+(9x2)
12+5+7+18
17+25=42
42÷7=6
a shopkeeper bought a pair of shoes at sh 480 he wished to make a profit of 30 percent after selling what was his marked price
Answer:
624
Step-by-step
480+(480(30%))
=624
Answer:
162
30/100 * 480
3/10 * 480
3/1 * 48
3 * 48
162
Anne is 35 years old, Bob is 24 years old, Charlie has feature A, and Daniel doesn’t have feature A. You’re allowed to ask people how old they are and whether they have feature A. You want to conclusively test the hypothesis “among these four people, those above age 30 definitely have feature A”.
What’s the minimum number of people you have to ask?
>> One person
>> Two people
>> Three people
>> Four people
Which people do you ask?
>> Anne
>> Bob
>> Charlie
>> Daniel
Two people, Anne and Charlie.
StatisticsGiven that Anne is 35 years old, Bob is 24 years old, Charlie has feature A, and Daniel doesn't have feature A, and you want to conclusively test the hypothesis “among these four people, those above age 30 definitely have feature A ”, to determine what's the minimum number of people you have to ask and which people do you ask, the following calculation must be performed:
Of the 4 people, 1 is over 30 years old and another has feature A, with which both should be considered for the study, while the other two do not meet the requirements. So, these two people would be Anne and Charlie.
Learn more about statistics in brainly.com/question/8058700
Preston measured the button on his shirt. Then he calculated that it has an area of 50.24 square millimeters. What is the button's diameter?
How do I find the difference in the simplest form?
Answer:
2
Step-by-step explanation:
[tex] \frac{8x}{4x - 7} - \frac{14}{4x - 7} \\ \\ = \frac{8x - 14}{4x - 7} \\ \\ = \frac{2 \cancel{(4x - 7)}}{\cancel{(4x - 7)}} \\ \\ = 2[/tex]
PLS HELP!
Which trigonometric function has a range that does not include -0.8?
A.) y=sin x
B.) y=csc x
C.) y=cot x
D.) y=cos x
Answer:
B.) y=csc x
Step-by-step explanation:
The cosecant function has a minimum magnitude of 1, so its range excludes any values in the range -1 < y < 1.
y = csc(x) . . . has a range that does not include -0.8
Rectangle A'B'C'D' is the image of rectangle ABCD after it has been translated according to the rule T–4, 3(x, y).
On a coordinate plane, a rectangles has points A prime (negative 5, 4), B prime (3, 4), C prime (3, 1), and D prime (negative 5, 1).
Which points are vertices of the pre-image, rectangle ABCD? Select four options.
(–1, –2)
(7, 1)
(–1, 7)
(–1, 1)
(7, –2)
Answer:
( - 1 , - 2 )
( 7 , 1 )
(-1 , 1 )
(7, - 2)
Step-by-step explanation:
Find the coordinates of all vertex
Solve:
(-1, -2 ) ⇒ this point is the vertex D of the pre-image
( 7 , 1 ) ⇒ this point is the vertex B of the pre-image
(-1, 7 ) ⇒ this point is not a vertex of the pre-image
(-1, 1 ) ⇒ this point is the vertex A of the pre-image
( 7 , -2 ) ⇒ this point is the vertex C of the pre-image
Thus, the answer is
( - 1 , - 2 )
( 7 , 1 )
(-1 , 1 )
(7, - 2)
~Lenvy~
Answers:
A ... (–1, –2)
B ... (7, 1)
D ... (–1, 1)
E ... (7, –2)
Step-by-step explanation:
Got it correct on Edge2020
b^2 – 4ac if a = 2, b = 9, and c = 4
Answer:
49
Step-by-step explanation:
[tex](b)^{2} - 4(a)(c) \\(9)^{2} - 4(2)(4) \\81 - 4(2)(4) \\81 - 32 \\49[/tex]
The number of animal in a park increase by 60% every month. By the end on December the number of animals is 2560, how many animals would have been there by the end of November?
Answer:
1,600
Step-by-step explanation:
I did a bit of guessing becuase I don't know the exact way to reverse the formula, but here is what I did!
I guessed around 1,550 at first, but it was too low. I kept increasing the base number until I reached 1,600, and came to the conclusion by doing the equation;
1,600(0.6)=960
Then, since it increases each month by 60% of the previous month's value, you do
1,600+960=2,560
Jose explained to his friend, Emily, that when you multiply matrix A by matrix B, you get the same result as if you multiplied matrix B by matrix A. Is he correct? Explain why or why not for full credit
Answer:
yes he is
Step-by-step explanation:
he is correct because say if I multiplied 25 by 10 I would get 250 same would go for if I multiplied 10 by 25 I still would get 250.
I hope this helps
If you bought 28 shares of stock at $30/sh and sold them at $25/sh. And How much did you net after selling the shares? Was it a profit or a loss?
Answer:
selling price$840
it's a loss.
Step-by-step explanation:
cost price = 28× 30 = $840
selling prince =25×28=$700
since cost price is bigger than selling price, it's a loss.
"My sales volume has increased from 50 units a day to 62. That is a __________ increase."
Answer:
If your sales volume is increasing from 50 to 62 units a day. This is a 24% increase.
Step-by-step explanation:
To find this answer this is what I did:
[tex]\frac{(62-50)}{50} * 100 = (?)\\\\=\frac{12}{50} *100\\\\=24%[/tex]
24 = 24%
Hence, the percent increase from 50 to 62 is 24%.
** the "*" in the problem above represents multiplication **
I hope that this answer helps to answer your question completely. If there are any further questions please put them in the comments below and I will try my best to answer them If not, please have a great rest of your day/night.
Answer:
24%
If your sales volume is increasing from 50 to 62 units a day. This is a 24% increase. Step-by-step explanation:To find this answer this is what I did:24 = 24% Hence, the percent increase from 50 to 62 is 24%
The grandma of a 6-year-old is asking them 2x3 what is 2x3
Answer:
The answer of 2 x 3 would be 6
Step-by-step explanation:
The reason why 2 x 3 or 2 times 3 would be six/6. Is because if you had 2 pairs of 3 items, you would get a total of 6 items. And if you had 3 pairs of 2 items, you would still have a total of 6 items.
Which of the binomials below is a factor of this trinomial?
x^2 + 8x + 16
A. x + 4
B. x - 4
C. x + 8
D. x - 8
The answer is A.
Pick A.
Good luck
After hearing about her employer’s health FSA, Yin has decided to enroll in an account. While trying to plan the amount of money to put into her FSA, Yin has made a list of items that she’d like to purchase during the plan year with FSA funds. Using the FSA Eligibility List, select all of the expenses on Yin’s list that she can pay for through money in her FSA.
hypoallergenic earrings
prescription sunglasses
makeup
medical equipment
prescription medications
shampoo
soap
sunscreen
Answer:
Prescription sunglasses
Medical equipment
Prescription medications
Sunscreen
Step-by-step explanation:
Trust me I just did this assignment
help for brainliest and 10 points
Answer:
-3
Step-by-step explanation:
[tex]0.002 = 2 \times {10}^{ - 3} \\ \implies \: x = - 3[/tex]
true or false? multiplying the parent linear function by 3/4 results in vertical stretch
f(x) ⇒ a*f(x)
This results in a vertical stretch, or compression.
When a > 1, we refer to this as a vertical stretch by a factor of a.When 0 < a < 1, we typically refer to this as a vertical compression by a factor of [tex]\dfrac{1}{a}[/tex].**There are multiple correct answers when asked about a, or vertical stretches/compressions.
Let's say we're given [tex]\dfrac{1}{2}f(x)[/tex]. In this case, 0 < a < 1.We could say the following:
f(x) underwent a vertical stretch by a factor of [tex]\dfrac{1}{2}[/tex].f(x) underwent a vertical compression by a factor of 2.Both of the above responses are correct.
Solving the QuestionWe're given:
We multiply the parent function by [tex]\dfrac{3}{4}[/tex].In this case, 0 < a < 1.
This results in a vertical stretch by a factor of [tex]\dfrac{3}{4}[/tex].This results in a vertical compression by a factor of [tex]\dfrac{4}{3}[/tex].AnswerTrue and false. Yes, we did modify the vertical stretch factor of the function to induce a type of vertical stretch. No, it is not a vertical stretch per se, but it is rather a vertical compression.
Liam is a tyre fitter. it takes him 124 minuets to fit 4 tyre's to a lorry. how long would t take him to fit 6 tyre's to a lorry?
if he works for 93 minuets how many tyre's will he fit?
168 minutes or 2 hours 48 minutes
Step-by-step explanation:
Since 12 tyres is 3 times 4 tyres, it will take 3 times as long as 56 minutes.
3 * 56 minutes = 168 minutes
We can convert the answer to hours and minutes.
60 minutes = 1 hour
120 minutes = 2 hours
168 minutes – 120 minutes = 48 minutes
168 minutes = 2 hours 48 minutes
Answer: 168 minutes or 2 hours 48 minute
Function or not
x y
12 7
3 -2
-2 3
9 8
-12 12
Answer:
function
Step-by-step explanation:
x coordinates don't repeat
The polygon given below is a regular pentagon.
A. 54°
B. 108°
C. 135°
D. 540°
Answer:
Step-by-step explanation:
In a regular pentagon, all the angles and sides are equal. So, to find an angle, divide 540 by 5.
Sum of all angles of regular pentagon = 540
measurement of one angle = 540 ÷ 5
= 108°
∠N = 108°
Answer:
B
Step-by-step explanation: