Answer: 100 feet
Step-by-step explanation:
If there are 100 square floor tiles, and each side is one foot long, we will multiply the number of tiles by the length of each tile to find the length of each side of the room.
100 tiles * 1 foot length = 100 feet
The time required find an entry in a list is uniformly distributed from 0 to 60 minutes. What is the probability that I will find the entry I am searching for in between 30 and 32 minutes
Answer:
The probability of finding the entry in the period between 30 and 32 minutes is 5%.
Step-by-step explanation:
Given that the time required to find an entry is uniformly distributed between 0 and 60 minutes, it implies that 100% of the chances are in that period of time distributed equally. Therefore, since 100/60 is equal to 1.66, each minute has a 1.66% chance that the entry will be there.
Thus, since between minutes 30 and 32 there are 3 minutes in total (30, 31 and 32), to determine the probabilities of finding the entry in that period it is necessary to perform the following calculation:
1.66 x 3 = X
5 = X
Therefore, the probability of finding the entry in the period between 30 and 32 minutes is 5%.
Rita has a square poster with sides of length 16 inches. She trims the poster by reducing its height by 2 inches and it’s width by 5 inches. By how many square inches did Rita reduce the area of the poster?
The area reduced by Rita is 102 square inches.
Initially, the length of the poster = 16 inches
The area of the poster initially, A = 16 * 16 = 256 square inches.
It is given that the poster by reducing its height by 2 inches and its width by 5 inches.
Reduced length (l) = 16 - 2 = 14 inches.
Reduced width (b) = 16 - 5 = 11 inches.
Now, the area of the remaining poster = length * width = 14 * 11 = 154 square inches.
Now, the areas of the poster that has been reduced,
So, reduced area = 256 - 154 = 102 square inches.
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What’s the mean of 46,57,66,63,49,52,61,68
Answer:
Step-byHow do I calculate the mean?
The mean can be calculated only for numeric variables, no matter if they are discrete or continuous. It's obtained by simply dividing the sum of all values in a data set by the number of value
-step explanation:
46+57+66+63+49+52+61+68= 462/8 the total number of observation
the answer 57
Alijah had a taxable income of $8450 and filed his federal income tax return with the Single filing status. Using the table below, find the amount he has to pay in taxes.
Single
Taxable income is over
8.350
33 950
82.750
171.550
372,950
But nat over
8,350
33.950
82,250
171.550
372.550
The tax is
Plus
50.00
835.00
4 675.00
16.750.00
41,754.00
108,216.00
10%
15%
25%
20%
33%
35%
Of the
amount over
50
8.350
33.950
82,250
171.550
372,850
O A. $835.00
• B. $850.00
O c. $2087.50
O D. $1252.50
Answer:
Step-by-step explanation:
67
Alijah's taxable income puts him in the first tax bracket, over $8,350 but not surpassing $33,950. Hence, his tax due is a base of $835 plus 15% of the income that exceeds $8,350. This results in a total tax payable of $850. Option B is the correct answer.
Alijah's taxable income falls within the first bracket of the tax table given, being over $8,350 but not over $33,950.
This bracket requires him to pay a tax of $835.00 plus 15% of the amount over $8,350.
He has a surplus of $100 over the $8,350 threshold (i.e., $8,450 - $8,350), and 15% of $100 equals $15.
Therefore, the total tax he owes would be the fixed amount of $835.00 plus the $15.00 calculated, which sums up to $850.00.
Thus, looking at the provided options, option B ($850.00) would be the correct answer.
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Decimal points are sometimes used in hotel room numbers. If you were assigned to room 6.10, where you expect to find it?
Answer:
the 10th room on the 6th floor
Step-by-step explanation:
I would guess that the 6 would be the floor number since is a whole number than the 10 would be the room on said floor because it after the 6.
If you were assigned to room 6.10, you would expect to find it in 6th floor and room number 10.
What is decimal?Decimals are numbers that have two components, a whole number component and a fractional component, which are separated by a decimal point.
Given:
Decimal points are sometimes used in hotel room numbers.
Any decimal number has whole part and fractional part.
Then whole part = number of floor.
Fractional part = number of rooms.
Then if number is 6.10,
then 6th floor and room number 10.
Therefore, 6th floor and room number 10.
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Nolan was given a box of assorted chocolates for his birthday. Each night, Nolan treated himself to some chocolates. There were originally 30 chocolates in the box and after 8 nights, there were 6 chocolates remaining in the box. Write an equation for
C
,
C, in terms of
t
,
t, representing the number of chocolates remaining in the box
t
t days after Nolan's birthday.
The equation of remaining chocolate C in terms of t is C = 30 - 3t.
What is an equation?A mathematical statement called an equation demonstrates the balance or equality of two expressions. It contains of variables, integers, and mathematical operations and is denoted by the equal symbol (=). Equations may be solved to determine unknown values and are used to express relationships between various quantities. To solve for x in the equation 2x + 3 = 7, for instance, remove 3 from both sides, which gives 2x = 4, then divide both sides by 2, which gives x = 2.
Given that,
Initial number of chocolates in box = 30
Also given that after 8 nights, number of remaining chocolates = 6
Implies that,
In 8 nights, 24 chocolates were treated.
In 1 night, 3 chocolates were treated.
The equation of remaining chocolate C in terms of t can be written as
C = 30 - 3t.
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What is the slope-intercept equation of the line below?
y-intercept = (0, -2)
slope = 4/5
Answer:
y=4/5x-2
Step-by-step explanation:
Which function is best represented by the graph?
Answer:This would be option letter C
Step-by-step explanation:The diagram is a gram of external geofram so the position Is fFX(4) ^N
Answer:
D
Step-by-step explanation:
f(x)= -x^2+4
Draw graph of -x^2 and shift it 4 units above
Use the factor theorem to determine which of the following is a factor of f(x)=x^3+5x2-15x+9
x-2
x+1
x-1
x+2
show work please
x+2
Step-by-step explanation:
x+2
If x = –2 is a zero, then x + 2 = 0, so x + 2 is a factor. Similarly, if x = 1/3 is a zero, then x – 1/3 = 0, so x – 1/3 is a factor. By giving me two of the zeroes, they have also given me two factors: x + 2 and x – 1/3.
The area of a rectangle is 99 ft2, and the length of the rectangle is 7 ft more than twice the width. Find the dimensions of the rectangle.
Length: ft
5 ?
Width:
Answer:
\(Width = 11/2ft, Length = 18ft\)
Step-by-step explanation:
I'm not sure this might be right, hope this is helpful!
you are given f(x) = x + 3 and g(x) = 2x + 1
find g[g(-3)
find f[g(x)]
find g[f(x)]
Answer:
Step-by-step explanation:
f(x) = x + 3
g(x) = 2x + 1
g(g(-3)) = g(-5) = -9
f(g(x) = f(2x + 1) = 2x + 1 + 3 = 2x + 4
g(f(x) = g(x + 3) = 2(x + 3) + 1 = 2x + 7
Please answer and help thank you
Answer:
25
62.5
1.25
hope this helps
Answer:
Step-by-step explanation:
$12.50=10b
so 20$=(20)10/12.5=16
50$=(50)10/12.5=40
1$=(1)10/12.5=0.8
230 is 12% of what number? Use proportion to find the answer.
Answer:
hello!!!
the answer is 1916.6
please read the explanation it always helps... trust me!
Step-by-step explanation:
alrighty so....
we what to find the number that when we take 12% of we get 230...
okay we have to switch things up in the percent formula since we dont have the total number just the percentage and the percent number itself (i hope that isnt confusing.. the math is easier tho)
230 x 100= 23000 --> 23000/12= 1,916.6
Answer:
1,916.67
Step-by-step explanation:
1230/12 = x/100.
12x= (230)(100).
12x=23000.
x= 23000/100
x = 1,916.67
Graph each system and determine the number of solutions that it has. If it have one solution, name it.
Solution:
Given the system of equations below:
\(\begin{gathered} x+2y=4\text{ ---- equation 1} \\ y=-\frac{1}{2}x+2---\text{ equation 2} \end{gathered}\)From equation, to graph equation 1, we solve for y for various values of x.
Thus,
\(\begin{gathered} when\text{ x =-8,} \\ -8+2y=4 \\ collect\text{ like terms,} \\ 2y=12 \\ divide\text{ both sides by 2,} \\ \frac{2y}{2}=\frac{12}{2} \\ \Rightarrow y=6 \\ \\ when\text{ x = 6,} \\ 6+2y=4 \\ collect\text{ like terms,} \\ 2y=-2 \\ divide\text{ both sides by 2,} \\ \frac{2y}{2}=\frac{-2}{2} \\ \Rightarrow y=-1 \end{gathered}\)By plotting the values of x and y as points (x, y), we have the graph of equation 1 to be
Similarly, from equation 2, the values of y for various values of x is thus
\(\begin{gathered} when\text{ x = 6,} \\ y=-\frac{1}{2}(6)+2=-1 \\ when\text{ x = -8,} \\ y\text{ = -}\frac{1}{2}(-8)+2=6 \end{gathered}\)By plotting the values of x and y as points (x, y), we have the graph of equation 2 to be
By combining the graphs, we have infinitely many solutions.
Which of the following functions best models the data shown in the scatterplot below? y=3x+5y=x2+10y=x+8y=2x+
Given:
a graph is given
Required:
To simplify which option is correct
Explanation:
From the graph we know the model should be line. And it passes through (15,60)
if the model is y=x+8 , y =15+8=23
there is too much difference between 23 and 60, so y=x+8 is wrong
and y=3x+5 is right
Required answer:
y=3x+5
Complete the table for the equation x + y = 12
Answer:
(x, y) = (11, 1), (3, 9), (8, 4)
Step-by-step explanation:
To solve for x, subtract y:
x = 12 -y
To solve for y, subtract x:
y = 12 -x
__
For y=1, x = 12-1 = 11
For x=3, y = 12-3 = 9
For y=4, x = 12-4 = 8
Find the circumference of the circle shown below if the radius equals 9 inches. Use 3.14 for π. Use the formula
2 x π x r.
A)56.52
B)1,107.36
C)None of these answers
D)113.04
E)254.34
Answer:
A. 56.52 inches
Step-by-step explanation:
the Circumfernce = 2 x π x r
= 2×3.14×9
= 3.14×18
= 56.52 inches
Mathematics, I want the answer only.
Hope this helps
Answer: 60
Answer:
\(a^{2}\)+\(b^{2}\)=60
Step-by-step explanation:
the answer is A
Solve for x. Question 12 options: A) 8 B) 5 C) 14 D) 10
Answer:
B) 5
Step-by-step explanation:
Proportions:
8 ⇒ 10
20 ⇒ 5x
5x = 20*10/8
5x = 25
x = 25/5
x = 5
Evaluate the expression 6^2-(8–4^2+7
please mark this answer as brainlist
The value of given expression is 27.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
The given expression is 6²-(8-4)²+7.
Here, 6²-(8-4)²+7
= 6²-(4)²+7
= 36-16+7
= 20+7
= 27
Therefore, the value of given expression is 27.
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a population of 29 year-old males has a mean salary of $29,321 with a standard deviation of $2,120. if a sample of 100 men is taken, what is the probability the sample mean salary will be less than $29.000?
The probability that the sample mean salary will be less than $29,000 is -1.51.
What is Central limit theorem?The central limit theorem implies that the distribution of the sample means will be roughly normally distributed if you have a population with mean and standard deviation and take sufficiently enough random samples from the population with replacement.
What is central limit theorem formula?Central Limit Theorem for Sample Means z-score and standard error of the mean: z=ˉx−μx(σx√n)
z=ˉx−μx/(σx/√n)
where
xbar = $29,000
μx = $29,321
σx = $2,120
n = 100
inputing value into the z-formula
(29,000 – 29,321) / (2,120/√100) = -321/212 = -1.51
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Which is a function and what is not a function?
determine the domain and the range for the relation in interval notation
Answer:
0≤x≥3
2≤y≥4
Step-by-step explanation:
how to find the degree of a term
Degree of a term is the exponents of a variable , if a term have two variables then the degree of a term is the sum of the exponents of the variables.
Degree of a term:
The degree of an individual term of a polynomial is the exponent of its variable.
Examples:
1) \(2x^3\)
here exponent of variable x is 3.
so the degree = 3
2) \(5x^5y^4\)
sum of exponent of variables x and y is = 5+4 = 9
so the degree = 9
3) \(x^2y^3\)
sum of exponent of variables x and y is = 2+3 = 5
so the degree = 5
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Algebra transformation
f(x) =
f(x) =
f(x) =
f(x) =
Algebra transformation
for Graph1 f(x)=f(x)+4
for Graph2 f(x)=-f(x-4)
for Graph3 f(x)=f(x-7)
for Graph4 f(x)=f(x-2)-5
Define reflection of graphIn mathematics, the reflection of a graph is a transformation that produces a mirror image of the original graph across a specific line or point. The line or point across which the reflection occurs is called the axis of reflection.
Graph1
Transform the graph by +4 units in y direction.
f(x)=f(x)+4
Graph2
Transform the graph by +4 units in x direction.
f(x)=f(x-4)
Now take the reflection of graph about x axis
f(x)=-f(x-4)
Graph3
Transform the graph by +7 units in x direction.
f(x)=f(x-7)
Graph5
Transform the graph by -5 units in y direction.
f(x)=f(x)-5
Now Transform the graph by -2 units in x direction.
f(x)=f(x-2)-5
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Reasoning Freezer A has interior dimensions 21x21x4 it and sells for $349.99. Freezer B has
interior dimensions 2.5 1x2.5 ftx3 it and sells for $449.99. Which freezer is a better buy in terms
of dollars per cubic foot? Use pencil and paper. Show your work and explain your reasoning
Which freezer is the bemer buy?
Freezer A
Preezers
Answer:
A
Step-by-step explanation:
pls help me on this problem
Answer: L is the answer for the question
Step-by-step explanation:
(a) From Latoya's results, compute the experimental probability of rolling a 1 or 6.
(b)Assuming that the cube is fair, compute the theoretical probability of rolling a 1 or 6.
(c)Assuming that the cube is fair, choose the statement below that is true.
A. The experimental and theoretical probabilities must always be equal.
B. As the number of rolls increases, we expect the experimental and theoretical probabilities to
become closer, though they might not be equal.
C. As the number of rolls increases, we expect the experimental and theoretical probabilities to
become farther apart.
(a) To compute the experimental probability of rolling a 1 or 6 from Latoya's results, we need to determine the number of times a 1 or 6 was rolled and divide it by the total number of rolls Latoya made.
Let's assume that Latoya rolled the dice 100 times and obtained 20 1's and 10 6's. The total number of successful outcomes (rolling a 1 or 6) is 20 + 10 = 30.
Therefore, the experimental probability of rolling a 1 or 6 is 30/100 = 0.3 or 30%.
(b) Assuming the cube is fair, the theoretical probability of rolling a 1 or 6 can be determined by considering the favorable outcomes (rolling a 1 or 6) divided by the total possible outcomes (rolling any number from 1 to 6).
Since there are two favorable outcomes (1 and 6) out of six possible outcomes (1, 2, 3, 4, 5, 6), the theoretical probability is 2/6 = 1/3 or approximately 0.3333.
(c) The correct statement is B. As the number of rolls increases, we expect the experimental and theoretical probabilities to become closer, though they might not be equal. This is due to the law of large numbers, which states that as more trials are conducted, the experimental probability tends to converge towards the theoretical probability. However, it is not necessary for them to be exactly equal. Random variations can cause some discrepancy, but with a larger number of rolls, the experimental probability should approach the theoretical probability more closely.
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Use the substitution methed to solve the system of equations. Choose the correct ordered pair.
2y+5x=13
2y+3x=5
Solve both equations for 2y :
2y + 5x = 13 ==> 2y = 13 - 5x
2y + 3x = 5 ==> 2y = 5 - 3x
Solve for x :
13 - 5x = 5 - 3x
8 = 2x
x = 4
Solve for y :
2y = 13 - 5×4
2y = -7
y = -7/2
As an ordered pair, the solution is then the point (x, y) = (4, -7/2).
can someone help me find the area of the triangle
please!!!
Answer:
18 ft
Step-by-step explanation:
Area = b x h / 2
Height = 9ft
Base = 4 ft
9 x 4 = 36
/ 2 = 18 Divide by 2