The mean number of unused vacation days is 8.64.
What is the mean number?Mean is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number.
To find the mean of the unused vacation days, find the midpoint of the upper and lower boundary and then multiply by its respective frequency and divide the sum by the sum of frequency.
Days Frequency Mid point (mid point x frequency)
1 - 3 1 (1 + 3) / 2 = 2 (2 x 1) = 2
4 - 6 22 (4 + 6) / 2 = 5 (5 x 22) = 110
7 - 9 14 (7 + 9) / 2 = 8 (8 x 14) = 112
10 - 12 2 (10 + 12) / 2 = 11 (11 x 2) = 22
13 - 15 17 (13 + 15) / 2 = 14 (14 x 17) = 238
Sum 56 484
Mean - 484 / 56 = 8.64
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How can you use Triangle Congruence to solve real-world problems?
Answer:
Many pairs of triangles designed into a building, for example as roof ends, would be congruent, so the roof beam and the top edges of the walls are horizontal.
which of the following is a linear function
Answer:
The 1st one?
Step-by-step explanation:
Sorry if I'm wrong
The health benefits Daisy receives from his employer covers 45% of the total montly premium of $350.00. How much does Daisy have to pay each month?
Answer:
$192.5
Step-by-step explanation:
1. turn 45% into .45
2. multiply .45 x 350
3. get 157.5 and then subtract 350-157.5
4. answer is 192.5
Need answer asap ...........
Answer:
25
25
Step-by-step explanation:
3^3 + 10 - 2 * 6
27 + 10 - 12
25
c
10^2 / 2^2
100 / 4
25
Answer:
B.)25
C.) 25
Step-by-step explanation:
B.) 3^3=27
27+10=37
37- 12= 25
_________________________________________
C.) 10^2= 100
100/ 2^2= 25
Brainliest? I am trying to earn a new rank so I can help more people and I would totally appreciate it if you did! Merry Christmas!
7th-grade question
3. Aliya hikes up a mountain for 2 hours. During this time, she hikes a
distance of 1 1/3 miles. Which expression shows Aliya’s rate in miles per
hour?
A. 1 1/3 miles
2 hours
B. 2 hours+ 1 1/3 miles.
C. 1 1.3 miles--2 hours
D. 2 hours
1 1/3 miles
Answer:
It is A if the expression is written like a rate/fraction --->
1 1/3 miles
---------------
2 hours
Step-by-step explanation:
If the expression is written like that then the answer is A.
This is because something per hours would mean hours would be on the bottom.
example:
rate
-------
per hour
hope this helps :)
Which line is an asymptote of the function f(x)= -6e^4(x-1) - 2 ?
A. y = 1
B. y = -2
C. y = -6
D. y = 1
Answer:
i am positive it is B
Step-by-step explanation:
the unit rate of 2/1 equivalent to the ratio 4/6: 9/12. True or false?
Answer:
I think true.
Step-by-step explanation:
HELP ONE HOUR LEFT One of the most common uses of exponents is when dealing with scientific notation. Recall that 3.2×10¹
is written in scientific notation where 10 is being raised to the 4th power. If 3.2x10' is the length of a park
in meters and 2.5×106 is the width in meters, what is the area of the park if it is in the shape of a rectangle?
It may help to write the terms out as an extended product and then regroup them.
Area = Length x Width = (3.2×10¹) (2.5×10) =
Using scientific notation, the area of the park, in m², is given by:
[tex]A = 8 \times 10^{10}[/tex]
What is scientific notation?A number in scientific notation is given by:
[tex]a \times 10^b[/tex]
With the base being [tex]a \in [1, 10)[/tex].
When two numbers in scientific notation are multiplied, we have that:
The bases are multiplied.The base 10 is kept, while the exponents are added.Hence the area of the park is given by:
[tex]A = 3.2 \times 2.5 \times 10^{4 + 6} = 8 \times 10^{10}[/tex]
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help me please! is compound interest
Answer:
7,200
Step-by-step explanation:
pls help me on this
Answer:
0.3(25)
Step-by-step explanation:
Of = multiply30% = 0.330% of 25 = 0.3(25)I hope this helps!
PLZ HELP ME BRAINLIEST IF CORRECT AND HEART AND 5 STAR RATE
Answer:
15
Step-by-step explanation:
The answer to the inequality, |3x| < -6, is no solution.
Why isn't there a solution to this inequality? Please explain your thinking.
Answer:
x < -2 and x > 2
Step-by-step explanation:
Given the inequality |3x| < -6
The function inside modulus can take both positive and negative value.
For the positive value;
3x < -6
x < -6/3
x < -2
For the negative value;
-3x < -6
-3x/-3 > -6/-3
x > 2
Hence the solution to the inequality is x < -2 and x > 2
12x + 16 = 100
100
(Equation)
Solve it and show your work!
15
Simon & Iris earned money
by selling candy. They
earned $12 by recycling.
They split the total and
each got $100. How much
did they earn selling
candy?
Speaker notes
Answer:
1. x = 7
Step-by-step explanation:
12x + 16 = 100
12x = 84
x = 7
Answer:
1. x = 7
2. Simon and Iris earned $212 selling candy.
Step-by-step explanation:
1. 12(7) + 16 = 100
84 + 16 = 100
100 = 100
Therefore, x = 7.
2. If they split the price by 2, then we need to multiply $100 by 2.
100 x 2 = $200
$200 + $12 = $212
Therefore, Simon and Iris earned $212 selling candy.
Find the instantaneous rate of change of the function
f(x)=2x^3−3x at the point (2,10)
A. -3
B. 5
C. 9
D. 21
E. 33
We can find the instantaneous rate of change at [tex]x=2[/tex] by evaluating the limit
[tex]\displaystyle \lim_{x\to2} \frac{f(x) - f(2)}{x - 2}[/tex]
(i.e. the definition of the derivative)
Since
[tex]f(x) = 2x^3 - 3x \implies f(2) = 10[/tex]
we have
[tex]\displaystyle \lim_{x\to2} \frac{f(x) - f(2)}{x - 2} = \lim_{x\to3} \frac{2x^3 - 3x - 10}{x - 2}[/tex]
Note that [tex]2x^3-3x-10=0[/tex] when [tex]x=2[/tex], which means [tex]x-2[/tex] divides the numerator exactly. By polynomial division, we can show
[tex]\dfrac{2x^3 - 3x - 10}{x - 2} = 2x^2 + 4x + 5[/tex]
Then in the limit, we can write
[tex]\displaystyle \lim_{x\to2} \frac{f(x) - f(2)}{x - 2} = \lim_{x\to2} \frac{(x-2) (2x^2 + 4x + 5)}{x - 2}[/tex]
As [tex]x\neq2[/tex], we can cancel the factors of [tex]x-2[/tex].
[tex]\displaystyle \lim_{x\to2} \frac{f(x) - f(2)}{x - 2} = \lim_{x\to2} (2x^2 + 4x + 5)[/tex]
The function in the remaining limit is continuous at [tex]x=2[/tex], so we can directly substitute [tex]x=2[/tex] to get its value,
[tex]\displaystyle \lim_{x\to2} \frac{f(x) - f(2)}{x - 2} = 2\cdot2^2 + 4\cdot2 + 5 = \boxed{21}[/tex]
(D)
7th grade what is the tone, or mood in the beginning of the play? "A christmas carol"
A- Violent and frighting
B- Dark and gloomy
C- Silly and sentimental
D- Loving and festive
Answer:
C
Step-by-step explanation:
C
Don’t worry about number 4 just tell me the answer to number two
Answer:
B
Step-by-step explanation:
First, you must combine like terms.
5a - a - a would be 3a.
-6 + 4 would be -2.
3a-2
Answer:
The answer would be B. -a+4+5a-a-6.
You would need to put like terms together. 4 and -6 is -2. -a, 5a, and -a is 3a.
If the area of the triangle with vertices (5,2),(x,4) and (0,3) is 25/2, find x?
x=7
Pretty Simple.. h h h
The value of the variable 'x' will be 20. Then the third vertice of the triangle is (20, 4).
What is the area of the triangle?The vertices of the triangle are (x₁, y₁), (x₂, y₂), and (x₃, y₃).
Then the area of the triangle will be
Area = 1/2 |[(x₁y₂ + x₂y₃ + x₃y₁) - (y₁x₂ + y₂x₃ + y₃x₁)]|
The vertices of the triangle are given as,
(x₁, y₁) ⇒ (5, 2)
(x₂, y₂) ⇒ (x, 4)
(x₃, y₃) ⇒ (0, 3)
Then the area will be
Area = 1/2[{5 × 4 + x × 3 + 0 × 2} – {2 × x + 4 × 0 + 3 × 5}]
25/2 = 1/2 [20 + 3x – 2x – 15]
25 = [x + 5]
x = 25 – 5
x = 20
The value of the variable 'x' will be 20. Then the third vertice of the triangle is (20, 4).
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What is the quotient of 6 -1/2
Answer:
-3
Step-by-step explanation:
because quotient means division,
so you divide 6 by -1/2
-1/2 is equal to -0.5
6/-0.5= -3
2 What is the solution set of
|4x - 1|= 3?
Answer:
Exact Form:
x = 1 , − 1/ 2
Decimal Form:
x = 1 , − 0.5
Step-by-step explanation:
QUICK MATH
WILL GIVE BRAINLIEST
The difference of two numbers is 2. Their sum is 10. Find the numbers.
Answer:
6 and 4
Step-by-step explanation:
6 + 4 = 10
6 - 4 = 2
Hope this helped you :)
6 and 4
6-4 = 2
6+4 = 10
They tell you the sum is 10, so think of #'s that make 10:
1,9
2,8
3,7
4,6
5,5
Now, which ones make 2 when subtracted
9-1 = 8
8-2 = 6
7-3 = 4
6-4 = 2
5-5 = 0
Therefore, the answers are 6 and 4
Which best describes the dimensions of a line?
A line has zero dimensions because it represents a location on the coordinate plane.
A line has one dimension because it is made up of all points that extend infinitely in either direction.
A line has two dimensions because it is made up of three noncollinear points.
A line has multiple dimensions depending on how many labeled points it contains.
Answer:
A line has one dimension because it is made up of all points that extend infinitely in either direction.
Step-by-step explanation:
The correct statement which describes the dimensions of a line is,
''A line has one dimension because it is made up of all points that extend infinitely in either direction.''
What is Line segment?Line segment is a part of the line which have two endpoints and bounded by two distinct end points and contain every point on the line which is between its endpoint.
We have to given that;
To find the dimensions of a line.
We know that;
A line has one dimension because it is made up of all points that extend infinitely in either direction.
Thus, The correct statement which describes the dimensions of a line is,
''A line has one dimension because it is made up of all points that extend infinitely in either direction.''
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Plz, answer. Will mark brainiest. Please! 50 points!!!
Answer:
12%
(12ish at least, I don't know if this problem requires the exact decimal.)
Answer:
12%
Step-by-step explanation:
:)
From 10 am to 4 pm the temperature changed -36 degrees. If the temperature changed equally for the last 6 hours, How much did it change each hour?
Answer:
-6 degrees per hour
Step-by-step explanation:
divide -36 by 6(the number of hours) and get -6
Answer:
6 degrees
Step-by-step explanation:
it changed 6 degrees every hour
Use the information to answer the question.
Consider the triangle.
16x + 5
4x + 2
8x + 1
Part A
Which expression represents the perimeter of the triangle?
Answer:
13x^8 + 4x^5 - 16x^2 try this
Step-by-step explanation:
PLEASE ANSWER IMMEDIATELY
Simplify the expression -416 - -613 Explain your solution using the additive inverse property.
Answer: 203
Step-by-step explanation:
-416 + 613
203
The total weight of 50 identical marbles
Answer:
Is there more parts of the answer?
Answer:
50 * mass per marble
Step-by-step explanation:
Total weight is weight per marble mutiplied by amount of marbles (N*m = M)
Ricky Bobby currently has $500 in his savings account, and figures that he will add $25 per week from his
job. He realizes that he can use the equation
S=25w+500 where S is the amount in savings and w= number of weeks from now.
a. How much will he have saved in 15 weeks
b. When will Ricky Bobby have $1200?
Ricky Bobby will have saved $875 in 15 weeks and he will have $1200 in 28 weeks.
Firstly solving first part of the question. Here, we need to calculate the savings in 15 weeks. To perform this calculation, we will keep the number of weeks in place of variable w.
Savings = 25×15 + 500
Performing multiplication
Savings = 375 + 500
Performing addition
Savings = $875
Now, solving the second part, which is finding the number of weeks. We will keep the savings amount at place of variable S.
1200 = 25w + 500
25w = 1200 - 500
Performing subtraction
25w = 700
w = 700 ÷ 25
Performing division
w = 28
Therefore, Ricky Bobby will have saved $875 in 15 weeks and he will have $1200 in 28 weeks.
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Can someone tell me how to solve this? Thank you
Answer:
domain: all real numbers except x=3 and x=5.
Step-by-step explanation:
You want the domain of a composition of rational functions f(x)=1/(x-2) and g(x)=4/(x-3).
DomainThe domain of a function is the set of values of the independent variable for which the function is defined.
To compute f(g(x)), you must first compute g(x). When x=3, the denominator of the function 4/(x-3) is zero, so the value is undefined. The domain must exclude x=3.
The composition is found by substituting g(x) for x in the definition of f(x).
[tex]f(g(x)) = f(\dfrac{4}{x-3}) =\dfrac{1}{\dfrac{4}{x-3}-2}=\dfrac{x-3}{4-2(x-3)}\\\\f(g(x))=\dfrac{x-3}{4-2x+6}=\dfrac{x-3}{2(5-x)}[/tex]
We have written the composition in this form so you can see there is a denominator factor that will be zero when x=5. The domain of f(g(x)) must also exclude x=5.
The domain of f(g(x)) is all real numbers except x=3 and x=5.
What is the value of x in x = inverse of sin(-1/2)?
Answer:
B. -pi/6
Step-by-step explanation:
help now i will mark brainly
Answer:
6. 928 R 3
7. 4/6
8. 2/8
Step-by-step explanation: