Answer:The mean deviation of the given data is;
Option B: 1
Step-by-step explanation:
Σ(x - x¯)/n
Now, x¯ is the mean = (1 + 2 + 3 + 3 + 4 + 5)/5
x¯ = 3
Thus;
1 - 3 = -2
2 - 3 = -1
3 - 3 = 0
3 - 3 = 0
4 - 3 = 1
5 - 3 = 2
Mean deviation is usually a positive value. Thus;
Σ(x - x¯) = 2 + 1 + 0 + 0 + 1 + 2
Σ(x - x¯) = 6
Thus;
Σ(x - x¯)/n = 6/6
Σ(x - x¯)/n = 1
[2] A car is traveling at 55 MPH.
How long in minutes will it take, in minutes, to travel 33 miles?
Answer:
Step-by-step explanation:
So at 55 miles per hour you go 12 miles in a little over 13 minutes.
.
Hope this helps you to understand the problem and how to use the formula to solve it.
Distance = Speed * Time
.
You might be able to understand this by thinking, "If I go at 60 miles per hour for 2 hours,
how far do I travel?" The answer is:
.
Distance = 60 miles per hour* 2 hours = 120 miles
.
In the problem you are told that the distance to be covered is 12 miles. The speed is 55 miles
per hour. Put these into the equation and you get:
.
12 miles = 55 miles per hour * Time
.
You can then solve for the Time by dividing both sides of this equation by 55 to get:
.
12/55 = Time
.
So it takes 12/55 hours to go 12 miles. The fraction 12/55 converts to a decimal by dividing
55 into 12 to get 0.218181818 of an hour. Since an hour has 60 minutes, you can convert
the answer to minutes by multiplying 60 by 0.218181818 to get about 13.09 minutes.
Find the difference between 11/5 and 5/2 on a number line
Answer:
Step-by-step explanation:
number line:
11 5
_ = 22/10 _ = 25/10
5 2
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
____________________________________________________________
10 1010 10 1010 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10
5/2 is 3/10's bigger than 11/5
PLEASE HELP WITH THIS ONE QUESTION (what is meant by “describe” is give all the values of the key features).
Answer:
x-intercepts: (1,0), (−2,0) and (2,0)
y-intercept: (0,4)
The graph is rising and crosses 3 times the x-axis and 1 time the y-axis as shown above.
write a linear function for the data in each table
Answer:
19. y=5x+-1
20. y=-2.5x+4
Step-by-step explanation:
19: 9-4=5
-1+5=4 so m=5
b=-1
so y=5x+-1
20: -1-1.5=-2.5
4+-2.5=1.5
so m=-2.5
b=4
so y= -2.5x+4
Please mark me brainliest
which one is true and why
Answer:
the first one is true
Step-by-step explanation:
√36>5 = 6>5
7<√10 = 7<3.162
√9>√25 = 3>5
Therefore, the first one is correct
expand and simplify (3x-2)2
Answer:
9x² - 12x + 4
Step-by-step explanation:
(3x - 2)² = (3x - 2)(3x - 2)
Each term in the second factor is multiplied by each term in the first factor , that is
3x(3x - 2) - 2(3x - 2) ← distribute both parenthesis
= 9x² - 6x - 6x + 4 ← collect like terms
= 9x² - 12x + 4
Express x2 + 4x - 7 in the form (x + a)? - b where a and b are integers.
Answer: (x+2)^2 -11
Step-by-step explanation:
X^2 +4x -7
Half the middle term, add it to x and put them into a bracket and square it
(X+2) ^2 -7
Square the second term to get 4 and then take that away from 7. (We do this because if we had the extra 4, our answer when’s we multiplied out of the brackets wouldn’t be x^2 +4x -7.)
(X+2)^2 -7 -4
Now simplify the whole numbers outside the bracket
(X+2) ^2 -11
There are 36 green cups in a store display. The number of green cups is 23 of all the cups in the display.
What is the total number of cups in the display?
Enter your answer in the box.
___cups
Answer:
54
Step-by-step explanation:
The total number of green cups in the display will be equal to 54.
What are arithmetic operations?The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.
They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.
As per the given information in the question,
Total number of green cups in display = 36
The number of green cups is 2/3 of all the cups in the display.
Let the total number of green cups in the store be X.
Then, the equation as per the statement will be,
2/3 of X = 36
X = 36 × 3/2
X = 54 cups.
To know more about arithmetic operations:
https://brainly.com/question/13585407
#SPJ2
PLEASE HELP PLEASEEE
Answer:
pointts Step-by-step explanation:
u
Answer:
d
Step-by-step explanation:
Lauren is going to invest in an account paying an interest rate of 3.4% compounded
annually. How much would Lauren need to invest, to the nearest cent, for the value of
the account to reach $13,000 in 8 years?
problem referred below
please help
Answer:
60
Step-by-step explanation:
Perimeter = 2l + 2w
57x2 = 114
234 - 114 = 120
120 / 2 = 60
Problem 3: If a single six-sided die is rolled five times, what is the probability that a six is thrown exactly three times
Answer:
So the probability that a die thrown 5 times will result in a 6 exactly 3 times is 0.03215.
Step-by-step explanation:
HOPE IT HELPS I'M FILIPINO STUDENTS
help me please i really need it I need solution.
Answer:
Step-by-step explanation:
1. To figure this out, you need to first convert the percentage to a decimal. To do this, you move the decimal two places back. 75.0% -> 0.75
40 * 0.75 = 30 students are present, because 75% of 40 is 30
40 - 30 = 10 students are absent, because 30 students are present.
2. To figure this out, you must do the same thing you did for number 1 above. It would look like this: 80% -> .80
250 * 0.8 = 200 euros - not sure if that's what it is but that is what I'm going with - is what she spent, because 80% of 250 is 200
250 - 200 = 50 is what she saved.
If 6 units equal 12 inches, what is the value of 1 unit?
the sum of twenty four and forty is nineteen more than a number. what is the number?
im struggling lol
A 9 in the thousandths place has 10 times the value of a 9 in the ? Place.
Answer:
10,000th place
Step-by-step explanation:
Write the first five terms for the following recursive rule.
f(1)=7
f(n)=f(n-1)+12
Answer:
PLEASE MARK ME AS BRANLIEST!!!!!
Step-by-step explanation:
a1 = first term; an= an-1 + d a1 = the first term in the sequence an = the nth term in the sequence an-1 = the term before the nth term n = the term number d = the common difference.
{10, 15, 20, 25, 30, 35, } first term = 10, common difference = 5 recursive formula: a1= 10; an= an-1 + 5
f(n) = f(n-1) + 12
f(1) = 7
f(2) = (7-1) + 12 = 18
f(3) = (18-1) + 12 = 29
f(4) = (29-1) + 12 = 40
f(5) = (40-1) + 12 = 51
7, 18, 29, 40, 51
megan feeds her dog 1/2 cup of food each morning and each evening. how much food does she feed him in a 7 day week
Answer:
7 cups
Step-by-step explanation:
1/2 * 2 times per day * 7 days per week = 7
Jeremy flew 8 times last week for work. If each flight was 2 hours long, how much time did Jeremy spend in the air?
The number of hours Jeremy spent in the air is 16 hours.
How to find the number of hours he spend in the air?He flew 8 times last week for work.
Each flight was two hours long.
Therefore, each flight, he spends two hours in the air.
Now he took this two hours flight for 8 times.
Therefore, the number of hours he spend in the air can be calculated as follows:
number of hours spent in the air = 8 × 2
number of hours spent in the air = 16 hours
Therefore, he spent 16 hours in the air.
learn more on hours here: https://brainly.com/question/14093155
#SPJ1
if a2-b2=c2. find c if a=5 and b=3
Answer:
c=2
Step-by-step explanation:
translation:
5x2-3x2=c2
10-6=4
4=c2
4/2=c2/2=c=2
When a = 5 and b = 3, the value of c is 4, based on the equation [tex]a^2 - b^2 = c^2[/tex].
Given the equation [tex]a^2 - b^2 = c^2[/tex] and the values a = 5 and b = 3, we can substitute these values into the equation and solve for c.
Substituting a = 5 and b = 3:
[tex](5)^2 - (3)^2 = c^2\\\\25 - 9 = c^2\\\\16 = c^2[/tex]
Taking the square root of both sides:
c = √16
c = 4
Therefore, when a = 5 and b = 3, the value of c is 4.
To know more about equation, refer here:
https://brainly.com/question/30642505
#SPJ2
Complete Question:
If [tex]a^2 - b^2 = c^2[/tex]. find c if a=5 and b=3.
I need 425 divided by 5 with the algorithm please!
Answer:
85
Step-by-step explanation:
I attached my work in a picture below!
Hope this helps :D
Triangle ABC is similar to triangle DEF.
Side AB is the longest side of ABC. It measures 12 centimeters.
Side DE is the longest side of DEF. It measures 8 centimeters.
What is the scale factor that takes triangle ABC to triangle DEF?
Answer:
1.5
Step-by-step explanation:
12 / 8 = 1.5
3. a. Which of the numbered angles are exterior angles?
b. Name the remote interior angles for each exterior angle.
C. How are exterior angles 6 and 8 related?
(Picture included) please help
4, 5, 6, 7 & 8 are exterior angles.
Answer:
See answers below.
Step-by-step explanation:
Exterior angles are angles that form a linear pair with an angle of a triangle.
Remote interiors in a triangle are the angles that are not adjacent to an exterior angle of the triangle (meaning are not connected to the exterior angle)
A. Exterior angles are ∠8, ∠7, ∠5, ∠4, and ∠6
B. Remote interiors angles are :
Looking at ∠6, the remote interior angles are ∠1 and ∠2
Looking at ∠8, the remote interior angles are ∠1 and ∠2
Looking at ∠5, the remote interion angles are ∠1 and ∠3
C. ∠6 and ∠8 are vertical angles which are ≅ and equal.
Is the slope y=4/3x+2
(Just double checking) :)
(For linear equations)
Answer:
Yes it is 4/3
Step-by-step explanation:
Determine which consecutive integers do not have a real zero of f(x) = x3 + 9x2 + 8x – 5 between them.
The difference between the two is 4,5
20. True or False
When you multiply or divide
by a negative number, you
flip the sign
Answer:
That is true
You must flip the sign when you are multiplying or dividing by a negative number
Review
Directions: What does each of the following mean? Write out in words and phrases.
Example: 7 - 12 means: seven minus twelve
1. 11 + t
2. 7rst
3. t - 17
4. (10)(n)
5. 15 * y
6. 4x
7. a + b
8. 14x + 3y
Answer:
1. Eleven plus t
2. 7 times r times s time t
3. t minus seven
4. ten times n
5. fifteen times y
6. four times x
7. a plus b
8. fourteen times x plus 3 times y
Step-by-step explanation:
Hope this helps!
Answer:
1, eleven plus t
2, seven rst
3,t-17
........................
How to solve this with solution
Step-by-step explanation:
nasa picture po yunv sagot
#HOPE IT HELPS
Solve each of the following equations. Show its solution set on a number line. Check your answers. |2(x-1)|=11
Answer:
Use the distributive property to multiply 2 by x−1.
l2x-2I=11
2x-2=-11
Add 2 to both sides of the equation.
2x=-9
Divide both sides by 2.
x=13/2
That's the final answer
Hope u have a great day!!
solve pls brainliest
Answer:
Mixed number: 8.72=8 72/100
Improper fraction: 8.72= 872/100
Step-by-step explanation:
8 is in the ones place, 7 is in the tenths place, and 2 is in the hundreths place, which makes 8.72. In fractions, that would be 8 wholes, and 72/100, which is 8 72/100. After that, you can turn it into an improper fraction by doing 8x100, which is 800, then you add 72, which is 872. That makes 872 the numerator, and 100 the denominator, which makes 872/100.
Btw (I didn't simplify, as the problem states against it!)