The percentage change is 16%
How to calculate the percentage change ?The initial value is 125.99
It changed to 150
The percentage change can be calculated as follows
= 150 - 125.99/150 × 100
= 24.01/150 × 100
= 0.16 × 100
= 16%
Hence the percentage change is 16%
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75 + 25x = 300
PLEASE EXPLAN WHY AND HOW YOU GOT THE ANSWER
Simplify (9x^3+2x^2-5x+4)-(5x^3-7x+4)
[tex]=9x^{3} +2x^{2} -5x+4-5x^{3} +7x-4\\=9x^{3} -5x^{3} +2x^{2} -5x+7x+4-4\\=4x^{3} +2x^{2} +2x[/tex]
Be remined for the second expression affects the signs of all the terms inside the brackets.
In a cinema there are 28 rows and in each row is 22 seats Each ticket coast 8.10 work out an estimate for the total income from the ticket sales
As there are 28 rows and in each row has 22 seats, then, the estimate of the total income from the ticket sales equals to $4,989.60.
What is known as total income?In a general sense, a total income means the gross income from all sources less certain deductions such as expenses, allowances and reliefs. But in the question context, it means the revenue, which is the total amount of income generated by the sale of goods and offering of services related to the primary operations of the business.
Given data
Cinema have 28 rows
Cinema have 22 seats per row
Each ticket cost 8.10
Total Income = $8,10 * 28 rows * 22 seats
Total Income = $4989.60
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the round off errors when measuring the distance that a long jumper has jumped is uniformly distributed between 0 and 5 mm. round values to 4 decimal places when possible.
The following are the results for measuring the distance that a long jumper has jumped which is uniformly distributed between 0 and 5mm
a) Mean = 2.5
b) Standard deviation = 1.4434
c) P(X = 2.5) = 0
d) P(2 < X < 4) = (4 - 2)/(5 - 0) = 2/5 = 0.4
e) P(X > 1) =0.8
f) P(X > 4 | X > 2) = 0.33
g) 60th percentile = 3
h) Upper quartile = 3.75
Mean = (0 + 5)/2 = 2.5
Standard deviation =[tex]\sqrt{(5-0)^{2} }[/tex] / [tex]\sqrt{12}[/tex] = 1.4434
P(X = 2.5) = 0
P(2 < X < 4) = (4 - 2)/(5 - 0) = 2/5 = 0.4
P(X > 1) = (5 - 1)/(5 - 0) = 4/5 = 0.8
P(X > 4 | X > 2) = P(X > 4 and X > 2)/P(X > 2) = (5 - 4)/(5 - 2) = 1/3 = 0.33
60th percentile = 0.60*(5 - 0) = 3
Upper quartile = 75th percentile = 0.75*(5 - 0) = 3.75
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ANSWER QUICK!!!!
You use floor tiles to help you learn a new dance move. You move 2 tiles right and 3 tiles up. Then you move 1 tile left and 1 tile down. Rewrite the composition as a single translation.
The given composition as a single translation is (x,y)→(x+1,y+2) .
In the question,
two translation are given , we have to write the composition of two translation in a single translation ,
we choose arbitrary points (x,y) in the tile , and find the horizontal and vertical shift in the coordinates of point after both translations .
let A(x,y) be an arbitrary point in the tile
So , by the first translation
"move 2 tiles right and 3 tiles up" ,
after first translation, the coordinates are A'(x+2,y+3)
The second translation "you move 1 tile left and 1 tile down" , will map A'(x+2,y+3) to
A"(x+2-1 , y+3-1)
= A"(x+1 , y+2)
Therefore , the single translation rule for the composition is (x,y)→(x+1,y+2) .
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A machine fills boxes at a constant rate. At the end of 35 minutes, it has filled 5 boxes.
Which table represents the relationship between the number of minutes the machine fills boxes and the number of boxes it has filled?
The machine will take 7 minutes to fill one box. Hence, table A. represents the correct relationship between the number of minutes the machine fills boxes and the number of boxes it has filled.
Boxes filled by machine in 35 minutes = 5 boxes
So, the number of boxes the machine fills in each minute = Time taken to fill 5 boxes/ Number of boxes filled
= 35/5
= 7 minutes
Time taken by machine to fill one box = 7 minutes
Time taken to fill two boxes = 14 minutes
Time taken to fill three boxes = 21 minutes
Time taken to fill four boxes = 28 minutes
Hence, table A is the correct answer from the given options
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what is 7/30 as a decimal
Answer: 7/30 as a decimal is 0.23333333333333
Hope this helps!
a refrigerator was originally priced at $250. it was then put on sale for 20% of. what is the number of dollars in the final price of the refrigerator if an additional 15% is taken off from the sale price?
The final price of the refrigerator after the additional 15% discount is $170
Given
The original sale price of the refrigerator = was $250
Given a 20 % discount on the original price, the new sale price would be as follows
Sale price = original price - Discount
= [tex]250-(\frac{20}{100} )250[/tex]
Sale price = $200
After this an additional 15% discount is given on new sale price.
So again deducting the discount from the sale price we get,
Sale price = 200 - discount(15%)
= [tex]200-(\frac{15}{100} )200[/tex]
Sale price = 170
Hence the final sale price after discount is $170
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K
Assume that when human resource managers are randomly selected, 64% say job applicants should follow up within
two weeks. If 7 human resource managers are randomly selected, find the probability that exactly 4 of them say job
applicants should follow up within two weeks.
The probability is.
(Round to four decimal places as needed.)
BCEXIS
Using the binomial distribution, there is a 0.2740 = 27.40% probability that exactly 4 of them say job applicants should follow up within two weeks.
For each manager, there are only two possible outcomes, either they say that job applicants should follow up within two weeks, or they do not say it. The opinion of a manger is independent of the opinion of any other manager, hence the binomial distribution is used to solve this question.
What is the binomial distribution formula?The formula for the probability of x successes is:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are given by:
n is the number of trials of the experiment.p is the probability of a success on a single trial of the experiment.In the context of this problem, the parameters are given as follows:
n = 7, p = 0.64.
The probability of exactly 4 saying that applicants should follow up within two weeks is P(X = 4), hence:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 4) = C_{7,4}.(0.64)^{4}.(0.36)^{3} = 0.2740[/tex]
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The distribution ages for students at the state college is positively skewed with a mean of μ= 21.5 and a standard deviation of σ= 3.
a. What is the probability of selecting a random sample of n = 4 students with an average age greater than 23?
b. What is the probability of selecting a random sample of n = 36 students with an average age greater than 23?
c. For a sample of n = 36 students, what is the probability that the average age is between 21 and 22?
Probability of selecting a random sample of n = 4 students with an average age greater than 23 is 0.1587, the probability of selecting a random sample of n = 36 students with an average age greater than 23 is 0.00135 and for a sample of n = 36 students, the probability that the average age is between 21 and 22 is 0.6826
In the distribution ages for students at the state college is positively skewed with a mean value μ= 21.5 and a standard deviation of σ = 3.
a)P(z> (23-21.5)/(3/√4))
P(z>1) = 0.1587
b) P(z> (23-21.5)/(3/√36))
P(z>3) = 0.00135
c) P((23-21.5)/(3/√36) < z < (22-21.5)/(3/√36 ))
P(-1 < z < 1) = 1 - 0.1587 - 0.1587 = 0.6826
Therefore, probability of selecting a random sample of n = 4 students with an average age greater than 23 is 1587, the probability of selecting a random sample of n = 36 students with an average age greater than 23 is 0.00135 and for a sample of n = 36 students, the probability that the average age is between 21 and 22 is 0.6826
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Find the coordinates of a point P that lies along the directed line segment from E (-5, 5) to F (-2,-2) and partitions the segment in the ratio of X2 12. 1 to 1.5.
the coordinates of a point P that lies along the directed line segment from E (-5, 5) to F (-2,-2) and partitions the segment in the ratio of 2 : 1.5 is (- 23 / 7 , 1).
We are given a line segment formed by joining the points:
E (- 5, 5)
F (- 2, - 2)
We need to find the coordinate of a point P which divides this line segment in the ratio 2 : 1.5
Now, we can also write this ratio as:
4 : 3
The formula for finding the coordinate of point P is:
x = (m x₂ + n x₁) / (m + n)
y = (m y₂ + n y₁) / (m + n)
Substituting the values in the formula, we get that:
x = 4(-2) + 3(-5) / 4 + 3
x = - 8 - 15 / 7
x = - 23 / 7
y = 4(- 2) + 3(5) / 4 + 3
y = - 8 + 15 / 7
y = 7 / 7 = 1
So, point P = (- 23 / 7 , 1)
Therefore, we get that, the coordinates of a point P that lies along the directed line segment from E (-5, 5) to F (-2,-2) and partitions the segment in the ratio of 2 : 1.5 is (- 23 / 7 , 1).
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PLEASEEEE HELP LE OUT!!!
The steps a student preformed to solve the equation 7h - ( 3h - 5) = 2(h - 7 ) are shown below. Explain each step the student preformed to solve the equation
Answer:
[tex]{ \sf{7h - (3h - 5) = 2(h - 7)}} \\ \\ { \sf{7h - 3h + 5 = 2h - 14}}[/tex]
[distributive property open brackets ]
[tex]{ \sf{4h + 5 = 2h - 14}}[/tex]
[simplification of either sides]
[tex]{ \sf{4h - 2h = - 14 - 5}}[/tex]
[operating similar terms]
[tex]{ \sf{2h = - 19}} \\ [/tex]
[simplification]
[tex]{ \sf{h = \frac{ - 19}{2} }}[/tex]
Please help I don't know how to do this and I was wondering if someone could help.
Applying the concept of the or operation, the solution to the given inequality is as follows:
r < -5/8 or r ≥ 3/8.
How to find the or operation between two data sets?Considering two data-sets, the or operation between them is the set composed by all the elements that belong to at least one of the data-sets.
In the case of an inequality, the data set is represented by the intervals.
The first inequality is:
0.5r + 3 < 7/4.
0.5r < 7/4 - 3
r/2 < -5/4 (as -3 = -12/4)
r < -5/8.
The second inequality is:
-r + 3/4 ≤ 3/8
-r ≤ 3/8 - 3/4
-r ≤ -3/8 (as 3/4 = 6/8)
r ≥ 3/8 (multiply by -1, hence the signal also changes).
As the intervals do not intersect, the solution to the inequality is given as follows:
r < -5/8 or r ≥ 3/8.
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If it is windy, then we will go sailing today.
A. If we go sailing today, then it is windy.
B. If it is windy, then we will not go sailing today.
C. If we do not go sailing today, then it is not windy.
D.If it is not windy, then we will not go sailing today.
In the diagram below, KJ is congruent to LJ. If m of angle J = 98° and m of angle K = 11x+8, determine the value of x.
A line passes through the point (-8,3) and has a slope of -5/4
Write an equation in slope intercept form for this line
Answer:
y=2x+13
that is the slope of the intercept
Which of these is equal to 0.428571?
A. 42/99
B. 1/7
C. 4/9
D. 3 5/7
From the options provided in the question, we may conclude that Option A is equivalent to 0.428571.
In mathematics, what is division?One of the four fundamental arithmetic operations, or how numbers are combined to create new numbers, is division. The other operations are multiplication, addition, and subtraction.
What are the division steps?Step 1: Take the dividend's first digit from the left. Determine whether this digit is greater than or equal to the divisor.
Step 2: Next, divide it by the divisor and write the result as the quotient on top.
Step 3: Subtract the result from the digit and record the difference.
Step 4: Subtract the dividend's next digit (if present).
Step 5: Repeat the procedure.
We need to find the given option that is equal to 0.428571.
For option A,
42/99 =0.428571 = 0.42
Therefore, we can say that Option A is equal to 0.428571 from the options given in the question.
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PLEASE HELP ASAP!!!!!!!!!!
Answer:
picture pls
Step-by-step explanation:
I need clearer pic pls
Deb found 56 tulips for $8. Please help Deb by figuring out the ratio. (round to 2 decimal places)
A. $0.70 per tulip
B.$7.00 per tulip
C. 7 tulips per dollar
D. .7 tulips per dollar
Answer:
C should be the correct answer
Step-by-step explanation:
56 Tulips for $8
56÷8=7
7 Tulips for $1
prove me wrong
Answer:
C
Step-by-step explanation:
56 Tulips for $8
56÷8=7
7 Tulips for $1
Can someone tell me how I can reply to questions I didn't ask?
What math is being used here? (Subject names)# 3
follow up to previous question
[tex]~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{y^{-5}}{x^{-3}}\implies \cfrac{y^{-5}}{1}\cdot \cfrac{1}{x^{-3}}\implies \cfrac{1}{y^5}\cdot \cfrac{x^3}{1}\implies {\Large \begin{array}{llll} \cfrac{x^3}{y^5} \end{array}}[/tex]
solve for X on each of them and find the measurements of the angles
The unknown angles are as follows:
∠1 = 67.9°, ∠2 = 22.08°∠1 = 129°, ∠2 = 51°∠1 = 13.5°, ∠2 = 13.5°How to solve angles?complementary angles are angles that sum up to 90 degrees.
in other words, When two angles add to 90°, we say they "Complement" each other.
Therefore,
9x + 2x + 7 = 90
11x = 90 - 7
11x = 83
x = 83 / 11
x = 7.54
Therefore,
∠1 = 9(7.54) = 67.9°
∠2 = 2(7.54) + 7 = 22.08°
Supplementary angles are angles that sum up to 180 degrees.
Therefore,
3x + 8 + 9x = 180
12x + 8 = 180
12x = 180 - 8
12x = 172
x = 172 / 12
x = 14.3
Hence,
∠1 = 9(14.3) = 129°
∠2 = 180 - 129 = 51°
Vertically opposite angles share the same vertex. Vertically opposite angles are equal.
Therefore,
9x = 3x + 9
9x - 3x = 9
6x = 9
x = 9 / 6
x = 3 / 2
x = 1.5
Therefore,
∠1 = 9(1.5) = 13.5°
∠2 = 13.5°
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Please help!!! How are tjhey parallel!?
Answer:
yeah
Step-by-step explanation:
They do not intersect???
In the figure shown, lines fand g are parallel.
Select the angle that is congruent to angle 1.
(A.) Angle 2
(B.) Angle 6
C.) Angle 7
D. Angle 8
which number should replace s to make the equation below TRUE?
s divided by 4 = 7
The number that should replace s to make the equation true is 28.
What number should replace s?An equation in mathematics is an expression that has an equal to sign, =. An expression is a statement in mathematics that is made up of at least one variable and number.
s divided by 4 = 7
s ÷ 4 = 7
In order to determine the value of s, multiply both sides of the equation by 7. Multiplication is the process that is used in mathematics to determine the product of two or more numbers. The sign that represents multiplication is × . Multiplication is a mathematical operation. Other operations in mathematics are addition, subtraction and division.
(s ÷ 4) x 4 = 7 x 4
s = 28
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Which of the following functions is graphed below?
The most appropriate choice for function and graph of a function will be given by-
Option D is correct
What is function and graph of a function?
A function from A to B is a rule that assigns to each element of A a unique element of B.
Set of all points of the form (x, f(x)) is called graph of a function.
Here,
There is a hollow circle on y = 5 line and the function continues upwards
Also,
[tex]=\lim_{x \to 1} y(x)\\= \lim_{x \to 1} x^2 + 4\\= 1^2 + 4\\=5[/tex]
Now, there is a solid circle on y = -1 line and the function continues downward
So there is an equality on x = 1 downward
Now f(1) = [tex]1^3-2[/tex]
= -1
So the appropriate graph will be
[tex]\left \{ {x^3 - 2, {x \leq 1} \atop x^2+1, {x > 1}} \right.[/tex]
D is correct
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Complete Question
Which of the following functions is graphed below?
The image has been attached
A circle P is circumscribed about a regular hexagon ABCDEF
a. central
b. exterior
c. interior
d. inscribed
It is True to state that Arcs AB, BC, CD, DE, EF, FA in the circumscribed hexagon are all equal. See the explanation below.
What is a regular hexagon?In geometry, a hexagon is a six-sided polygon. A regular hexagon is one in which the lengths of all the sides and the measurements of all the angles are identical. The sides of a regular hexagon are therefore equivalent.
Allow point P to be the hexagon's and circle's center.
The dimension of arc AB is the same as the measure of central angle APB, which are both 360/6 = 60 degrees. This also applies to the other arc measurements. The whole 360-degree circle is divided into six equal parts, each measuring 60 degrees.
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Full Question:
Although the question seems incomplete you may have been referring to this:
A circle P is circumscribed about a regular hexagon ABCDEF
Arcs AB, BC, CD, DE, EF, FA are all equal
Select one:
a. False
b. True
-3[10+4(x-2)] all subtracted from 20
The value of the expression is 74 - 12x
What are expressions?Expressions are mathematical statements that are represented by variables, coefficients and operators
How to evaluate the expression?The expression is given as
-3[10+4(x-2)] all subtracted from 20
When represented as an expression, we have the following mathematical representation
20 - (-3[10+4(x-2)])
Open the brackets in the above expression
So, we have
20 - (-3[10+4(x-2)]) = 20 - (-30+12(x-2)])
Open the brackets in the above expression
So, we have
20 - (-3[10+4(x-2)]) = 20 - (-30 + 12x - 24)
Open the last brackets in the above expression
So, we have
20 - (-3[10+4(x-2)]) = 20 + 30 - 12x + 24
Evaluate the like terms in the above expression
So, we have
20 - (-3[10+4(x-2)]) = 74 - 12x
Hence, the equivalent expression of the expression "-3[10+4(x-2)] all subtracted from 20" is 74 - 12x
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3(2x+4)=24 solve for x
Answer:
x = 2
Step-by-step explanation:
Use distributive property:
3(2x+4) = 24
3*2x + 3*4 = 24
6x+12 = 24
6x = 12
x = 2
1a)Determine whether the relation is a function. (3,-3) (-3,3) (2,-2) (-2,-3) and explain.
1b)If the relation in 1a is a one to one?explain.
I really need help on this question but if anyone wants to help it would be greatly appreciated! 20 points for this!
Part a
It is a function because each x-value matches with only one y-value.
Part b
No, because the x-values of 3 and -2 both correspond to a y-value of -3.