Answers
The first step here is to arrange the data set's form least to greatest,
Sherelle: 26, 39, 56, 58, 60, 62, 65, 66, 66, 68, 71, 72, 72, 73, 74, 75, 81, 83, 84, 85
Venita: 44, 45, 51, 51, 53, 53, 55, 57, 58, 62, 65, 66, 69, 69, 70, 73, 75, 77, 78, 79
Now we can determine our 5 - number summary based on the numbers respective positions.
First Data Set,
(Five - Number Summary) - Minimum : 26, Quartile 1 : 60, Median : 69.5, Quartile 3 : 75, Maximum : 85
Second Data Set,
(Five - Number Summary) - Minimum : 44, Quartile 1 : 53, Median : 63.5, Quartile 3 : 73, Maximum : 79
Related Questions
31*r+1.1*(35−31)*r = 410.64.
Answers
Answer:
11.6
Step-by-step explanation:
Solving with steps as below:
31*r+1.1*(35−31)*r = 410.6431r + 1.1*4r = 410.6431r + 4.4r = 410.6435.4r = 410.64r = 410.64/35.4r = 11.6Answer is: r =11.6
Evaluate the expression:
x^2+2x−xy when x = 250 and y = −120
Answers
Answer:
33000
Step-by-step explanation:
Substituting 250 for x and -120 for y, we get:
(250)^2 + 2(250) - (250)(120) = 62500 + 500 - 30000, or
32500 + 500, or 33000
what is the importance of federal system
Answers
Featured snippet from the web
It protects against tyranny. One reason for the creation of a federal system was to prevent any one part of the government from having too much power. By decentralizing power, our federal system helps to protect us from having one part of the government become too strong at which point it could tyrannize us.
You and your family attend a Broadway show in New York City. The show begins at
6:58pm and ends at 9:46pm. How many seconds long is the show?
Answers
From 7:00 to 9:46 we see it passes 2 hours and 46 minutes.
But it started 6:58 . So we add +2 minutes. 46+2 = 48
2 hours and 48 minutes.
But we must find the second form.
1 hours = 60 minutes = 3600 seconds
So, 2 hours = 120 minutes = 7200 seconds.
and 1 minutes = 60 seconds
48 minutes = 60 x 48 = 2880 seconds.
7200 + 2880 = 10080 seconds.
answer: 10,080 seconds
explanation: the time between 6:58pm and 9:46pm is 2 hours and 48 minutes. two hours would convert to 120 minutes. in total, you would get 168 minutes. since there’s sixty seconds in a minute, you get the answer of 10,080 seconds by multiplying 168 by 60
if this helps, please click the “thanks” button
- emily :)
find the value of please help me
Answers
Answer:
10 sqrt(10)
Step-by-step explanation:
sqrt(1000)
sqrt(100*10)
we know that sqrt(a*b) = sqrt(a) sqrt(b)
sqrt(100) * sqrt(10)
10 sqrt(10)
look at picture and solve
Answers
Step-by-step explanation:
As we can see, the line on the bottom is a perfectly straight 180º line, so the two angles, a and 50º are supplementary angles. Remember: Supplementary angles = 180º, and complementary angles = 90º.
Since this is a 180º line, all we have to do is to subtract 50 from 180 to get our angle a.
180-50 = 130º
Our answer: a = 130º
a train travelled from city a to city b for the first 14 hours, it travelled at an average speed of 120 km/h. for the next 10 hours it traveled at an average speed of 90 km/h
what was the average speed of the whole journey?
Answers
Answer: 107.5
Step-by-step explanation:
120 x 14= 1680
90 x 10= 900
Now you add 1680+900= 2580
Then you divide the distance (2580) between the speed (14+10)
2580/24= 107.5
GUYS PLEASE HELP ME ILL MARK BRIANLIEST AND GIVE EXTRA POINTS I NEED IT ASAP
1. The sum of a number and 81 is greater than the product of 3 and that number. What are the possible values for the number?
2. Which is NOT a solution of the inequality LaTeX: 5-2x≥-3 (A) 0 (B) 2 (C) 4 (D) 5
3. Write the following statement as an inequality: 8 less than a number w is under 35.
4. Solve for t: 3-4t<19 5. Jason is saving up to buy a new phone that costs $490 (I wish they were still this cheap). So far, he's saved $175. He would like to buy the camera no later than 3 weeks from now. What is the inequality used to represent how much he must save every week to have enough money to purchase the camera? (hint: when the wording is tricky, as it is in this problem, solve the problem as if it were an equation. That is to say, as if Jason was trying to save the money in exactly 3 weeks. Then decide on the sign that makes most sense).
Answers
Q1
[tex]n > \frac{81}{2} [/tex]
Q2 D
sry I don't hv time to ans more
Which numbers are rational? Check all that apply.
-19
2
5
0
4
ī
1.091502...
2.89
Answers
Answer:
-19
-2/5
0
4/7
2.89
Step-by-step explanation:
a rational number is any number that can be converted to a fraction, I know this because I took a test a while back and it helped me understand it. I hope this helps!!! :)
what is the answer to 1.2(x-3) +4 (x+7)
Answers
Answer:
5.2x + 24.4
Step-by-step explanation:
1.2(x-3) + 4 (x+7)
=1.2x - 3.6 + 4x + 28
=5.2x + 24.4
Hope this helps..
Please help to write the following
Answers
Answer: option 2. x²-1
Step-by-step explanation:
concept to know: a²-b²=(a+b)(a-b)
------------
(a+b)(a-b)=a²+b²
(x+1)(x-1)=x²-1
Hope this helps!! :)
Please let me know if you have any question
Given that y=18 + 3x² (i) find the value of y when x= -2
Answers
Answer:
y=30
Step-by-step explanation:
f(-2)=18+3(-2)^2
f(-2)=18+3*4
f(-2)=18+12
f(-2)=30
Answer:
y= 6
Step-by-step explanation:
substitute x= -2 in the equation y=18+3x^2
from there you'll get your final answer
Can someone give me the answers for the number frame and how you did it, I’m confused :)
Answers
Answer:
16, 56, ...
Step-by-step explanation:
It looks like you have to put in each cell the multiplication of the row and the column, so the columns are 2, 7, 4 etc., and the row is always 8.
First cell: 2x8 = 16
Second cell: 7x8 = 56
and so on
It teaches you to apply the multiplication in a random sequence; you should be able to do this in your head.
Prove the identity
[tex]4 \sin(x) \cos(x) = \frac{ \sin(4x) }{ \cos(2x) } [/tex]
Answers
=> R.H.S
[tex] \frac{ \sin(4x) }{ \cos(2x) } = \frac{ \sin(2x + 2x) }{ \cos(2x) } [/tex]
[tex] = \frac{ 2 \sin(2x) \cos(2x) }{ \cos(2x) } [/tex]
[tex] = 2 \sin(2x) [/tex]
[tex] = 2(2 \sin(x) \cos(x) )[/tex]
[tex] = 4 \sin(x) \cos(x) [/tex]
R.H.S = L.H.S
PROVED!
Answer:
Below
Step-by-step explanation:
● 4 sin(x) cos(x) = sin(4x)/cos(2x)
Let's prove that:
● 4 sin(x) cos(x) cos(2x) = sin(4x)
It's easier to prove it than the first one
■■■■■■■■■■■■■■■■■■■■■■■■■■
● 4 sin(x) cos(x) cos (2x)
● [2 sin(x) cos(x)] 2 cos(2x)
We khow that [2 sin(x) cos(x)]= sin(2x)
So:
● sin(2x) 2 cos(2x)
Based on the same relation
● sin(4x)
It's proved
the probability that a civil servant own a car is 1/6,if two civil servants are selected at random.find the probability that
a.each own a car
b.only one owns a car
Answers
Answer:
The data we have is:
the probability that a civil servant own a car is 1/6
Two civil servants are selected at random.
a) The probability that each own a car.
Ok, here we have two events:
Person 1 haves a car.
Person 2 haves a car.
The probability of each of those events is the same, 1/6.
P1 = 1/6
P2 = 1/6
Now, the probability of both events happening at the same time is equal to the product of the individual probabilities.
P = P1*P2 = (1/6)*(1/6) = 1/36.
b) Only one has a car.
Suppose that Person 1 has the car and Person 2 has not a car.
The probability for person 1 is 1/6.
And for person 2, is the negation of having a car:
So if we have prob of having a car = 1/6
Then the probability of not having a car is = 1 - 1/6 = 5/6.
Then we have:
P1 = 1/6
P2 = 5/6.
The joint probability is:
P = P1*P2 = (1/6)*(5/6) = 5/36.
But we also have the case where person 1 does not have a car, and person 2 does have one, then we have a permutation, and the actual probability is two times the obtained above.
P = 2*(5/36) = 10/36
-3(2x -1) plz help, asap will give brainliest
Answers
Answer:
Hey there!
-3(2x-1)
-6x+3
Let me know if this helps :)
Answer:
[tex]- 6x + 3[/tex]
Step-by-step explanation:
[tex] - 3(2x - 1) \\ = - 6x + 3[/tex]
The vertices of ∆ABC are A(7,3),B(−8,6),C(0,−5). If ∆ABC is translated along the vector <−9,5>, what are the coordinates of the vertices of ∆A'B'C' ?
Answers
Answer:
The coordinates of the vertices of [tex]\bigtriangleup A'B'C'[/tex] are [tex]A'=(-2,8)[/tex], [tex]B'=(-17,-4)[/tex] and [tex]C'=(-9,0)[/tex].
Step-by-step explanation:
Let be [tex]A =(7,3)[/tex], [tex]B = (-8,6)[/tex] and [tex]C = (0,-5)[/tex] the vertices of the original triangle, as well as [tex]\vec t = \left<-9, 5\right>[/tex], the coordinates of the vertices of the new triangle are, respectively:
[tex]A' = A + \vec t[/tex]
[tex]A' = (7,3)+(-9,5)[/tex]
[tex]A' = (7-9,3+5)[/tex]
[tex]A'=(-2,8)[/tex]
[tex]B' = B + \vec t[/tex]
[tex]B' = (-8,6)+(-9,5)[/tex]
[tex]B' = (-8-9,-9+5)[/tex]
[tex]B'=(-17,-4)[/tex]
[tex]C' = C + \vec t[/tex]
[tex]C' = (0,-5)+(-9,5)[/tex]
[tex]C' = (0-9,-5+5)[/tex]
[tex]C'=(-9,0)[/tex]
The coordinates of the vertices of [tex]\bigtriangleup A'B'C'[/tex] are [tex]A'=(-2,8)[/tex], [tex]B'=(-17,-4)[/tex] and [tex]C'=(-9,0)[/tex].
Which point is the best estimate of 11?
А А.
B
D
E
toh
to
.
3
4
Pls help me it’s due today! >_
Answers
Answer:
B
Step-by-step explanation:
Step 1: Find √11
√11 is between perfect squares √9 and √16
√9 < √11 < √16
3 < √11 < 4
So it is between 3 and 4
Step 2: Evaluate
√11 = 3.31662
Closest dot is B.
Graph the line with the equation y = -1/2x – 7
Answers
Answer:
Step-by-step explanation:
y = -1/2 x – 7
when x is 0
y = -1/2(0) - 7
y = - 7
(0,-7)
when y is 0
0 = -1/2 x - 7
1/2 x = -7
x = -7(2)
x = -14
(-14,0)
The graph of equation y = -1/2x – 7 is shown in figure.
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
The equation of line is,
⇒ y = - 1/2x - 7
Hence, We get;
The graph of equation y = -1/2x – 7 is shown in figure with slope - 1/2 and y - intercept is - 7.
Thus, The graph of equation y = -1/2x – 7 is shown in figure.
Learn more about the equation of line visit:
https://brainly.com/question/18831322
#SPJ2
In a math contest of 10 problems, 5 points were given for each correct answer and 2 points were deducted for each incorrect answer. If Nancy answered all 10 problems and scored 29 points, how many correct answers did she have?
Answers
Answer:
Nancy had 7 correct answers.
Step-by-step explanation:
To solve this problem, we can set up a system of equations. Let's assign the variable c to represent the number of correct answers Nancy had and the variable i represent the number of incorrect answers she had.
We know that the total number of answers is 10 because it is given that she answered all 10 problems. This lets us set up the first equation as follows:
c + i = 10
Then, we can set up a second equation using the number of points (29 total). We know that +5 points were added for each correct response (c) and -2 points were added for each incorrect response (i). Our next equation will look like this:
5c - 2i = 29
There are many different strategies one can use to solve systems of equations. In this case, I am going to use combination. This means I am going to add the two equations together. However, first I should multiply our first equation by 2 so that the "I" variable terms cancel out. This is modeled below:
2c + 2i = 20
Now we can add the two equations:
5c + 2c +2i - 2i = 20 +29
Now we can simplify the equation by combining the like terms to get:
7c = 49
Finally, we should divide both sides of the equation by 7 in order to get the variable c by itself on the left side of the equation.
c = 7
Therefore, the correct number of responses Nancy gave was 7.
Hope this helps!
help please it’s my last question it should be two answers
Answers
Answer:
Choices 1 and 5
Step-by-step explanation:
155 + 166 = 25 + 296
Correct choices:
155 - 296 = 25 - 166
This is obtained by subtracting 296 and 166 from both sides of initial equation166 - 25 = 296 - 155
This is obtained by subtracting 25 and 155 from both sides of initial equationfind the sum of
137 and -354
Answers
Answer:
-217
Step-by-step explanation:
Add them both together because it is asking for the "sum".
-354+137= -217
Need help on INEQUALITY
Answers
Answer:
A and D
Step-by-step explanation:
3 - 5x > 2
= -5x > 2-3
= -5x > -1
= x < 1/5
Answer:
The correct answer is A. x = 1 or D. x = 7.
Step-by-step explanation
For this problem, we can substitute each of the values and see which ones make the inequality true.
Using x = 1
3 - 5(1) > 2
3 - 5 > 2
-2 > 2
This is not true, so this is not our solution. However, I will show the rest of the solutions anyways.
Using x = 0
3 - 5(0) > 2
3 - 0 > 2
3 > 2
This is true, so x = 0 is a solution to the inequality.
Using x = -1
3 - 5(-1) > 2
3 + 5 > 2
8 > 2
This is true, so x = -1 is a solution to the inequality.
Using x = 7
3 - 5(7) > 2
3 - 35 > 2
-32 > 2
This is not true, so x = 7 is not a solution to the inequality.
Mr. Drew wants to build a square sandbox with an area of 324 square feet. What is the total length
of wood Mr. Drew needs to make the sides of the sandbox?
He needs to buy __ feet of wood.
(Simplify your answer.)
Answers
Answer:
72ft.
Step-by-step explanation:
18(18)=324
18(4)=72
Help needed ASAP will give brainliest.
Answers
Answer:
10
Step-by-step explanation:
We can show this as:
√90 = √9*10Since
9*9 < 9*10 < 10*10Then
9 < √90 < 10The closest number in the list is 10 as all the rest are greater than 10
Second choice is the correct one
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
[tex]\sqrt{90}[/tex]
[tex]= \sqrt{10}[/tex] (Decimal: 9.486833)
( I don't know it might be wrong )
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Have a great day/night!
❀*May*❀
Which is f(5) for the function –2x2 + 2x – 3?
–107
–63
–43
–37
Answers
Answer: C
Step-by-step explanation:
Answer:
(C) -43
Step-by-step explanation:
♥☺
Darrin is hanging 200 feet of Christmas garland on the fencing that encloses his rectangular front yard. The length is 5 feet less than 5 times the width. Find the length and width of the fencing. Give the measurements in decimal form.
Answers
Answer:
Length = 82.5 feet
Width = 17.5 feet
Step-by-step explanation:
The formula for the Perimeter of a rectangle = 2(Length + Width)
= 2L + 2W
We are told in the question that: Darrin is hanging 200 feet of Christmas garland on the fencing that encloses his rectangular front yard
Hence, The perimeter of the rectangular front yard = 200 feet
200 = 2( L + W).........Equation 1
Also, the length is 5 feet less than 5 times the width
L = 5W - 5
Hence,
200= 2(5W - 5 + W)
200 = 2(5W + W - 5)
200 = 2(6W - 5)
200 = 12W - 10
Collect the like terms
200 + 10 = 12W
210 = 12W
W = 210/12
W = 17.5 feet
Substitute 17.5 for W in Equation 1
200 = 2( L + W).........Equation 1
200 = 2( L + 17.5)
200 = 2L + 35
200 - 35 = 2L
2L = 165
L = 165/2
L = 82.5 feet
Therefore, the Length of the rectangular fence = 82.5 feet while the Width of the rectangular fence is 17.5 feet.
Q3) If B is directly proportional to A and B = 3 when A = 18, find the value of B when A = 24.
Answers
Answer:
B = 4
Step-by-step explanation:
Given that B is directly proportional to A then the equation relating them is
B = kA ← k is the constant of proportionality
To find k use the condition B = 3 when A = 18 , then
3 = 18k ( divide both sides by 18 )
k = [tex]\frac{3}{18}[/tex] = [tex]\frac{1}{6}[/tex]
B = [tex]\frac{1}{6}[/tex] A ← equation of proportion
When A = 24, then
B = [tex]\frac{1}{6}[/tex] × 24 = 4
Casey wants to buy some instruments for his niece and nephew. He has $40 to spend. Based on the prices listed below, what is the estimated total, rounded to the nearest dollar? Which explains why he can afford the tambourine and xylophone? Tambourine: $13.95
Xylophone $23.50
The estimated total to the nearest dollar is $38, so he can afford them. The estimated total to the nearest dollar is $37, so he can afford them. The estimated total to the nearest dollar is $36, so he can afford them. The estimated total to the nearest dollar is $37.45, so he can afford them.
Answers
Answer:
It’s the estimate tidal to the nearest dollar is $38 so he can offered them
Step-by-step explanation:
PLEASE HELP FAST!!!!!! How many triangles can be constructed using the following three side lengths: 4.8 cm, 2.1 cm, and 2.6 cm?
one triangle
no triangles
an infinite number of triangles
Answers
Answer:
no triangles
Step-by-step explanation:
why?
the triangle inequality theorem
this theorem states that the sum of any two sides must be bigger than or equal to the third side. however, the sum of 2.1 and 2.6 is less than 4.8