percent change in enrollment from last year students is
How do you determine a population decline in percentage terms?Work out the difference (reduction) between the two numbers you are comparing before calculating the percentage drop. Then, increase the result by 100 after dividing the decrease by the initial number. The outcome expresses the change as a percentage, or the change in percentage.
Last year students =320
This year students =352
We need to find the percent increase in enrollment.
The increase in no of students = 320 -352
= 32
Percentage = (increase/initial no of students) × 100
% =32/352*100
9%
Hence, the percent increase is 9%.
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Please help guys<333
Answer:
2
Step-by-step explanation:
because u need to multiply
PLEASE HELP
I dont understand this
Answer: I EXPLAINED IT TELL ME IF YOU NEED THE ANSWER!
Step-by-step explanation: You can find the final equation for the segment of a circle area: A segment = A sector - A isosceles triangle = (0.5 × r² × α) - (0.5 × r² × sin(α)) = 0.5 × r² × (α – sin(α)) Formula given radius and height. A segment = r² × Arcos((r-h)/r) - (r-h) × √ (2 × r × h - h²) where h is the height of a segment, also known as sagitta.
Which expression is equivalent to the sum 25 + 60? *
Answer:
85
Step-by-step explanation:
solo lo sumas para que le entiendas consulta a una maestro jajja
The midpoint of AB is M(-6, 1). If the coordinates of A are (-7,-3), what are
the coordinates of B?
Answer:
(-5,5)
Step-by-step explanation:
Mickey simplified the expression below. He then checked his work by substituting 4 for x. He noticed his two values were not equal. What was Mickey’s error when simplifying?
Expression
Simplified Expression
2 x squared minus 4 x minus 9 minus x squared + 2 x + 3
x squared minus 6 x minus 6
Mickey should have added –4 and 2 when combining the coefficients of the x terms.
Mickey should have added 2 and 1 when combining the x squared terms.
Mickey should have added 9 and 3 when combining the constant terms.
Mickey should have added –4 and –1 when combining the x terms.
The correct option is, Mickey should have added –4 and 2 when combining the coefficients of the x terms.
Given,
The expression; 2x² - 4x - 9 - x² + 2x + 3
We have to simplify the expression;
To group and arrange an expression in such a way that it is easier to understand and solve is to simplify the expression.
We first group and find like terms and then add and cancel out
2x²-x²- 4x+2x - 9+ 3
=x²-2x-6
Mickey did not add the coefficients -4 and +2 for x terms in the expression, instead it looked like he added 4+2 as the coefficients
Therefore the correct option is
Mickey should have added –4 and 2 when combining the coefficients of the x terms.
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Write a function rule of a line in slope intercept form that is parallel to line 5x - 3y = 7 and has the same y intercept of the line 4x-y=9
Answer:
y = [tex]\frac{5}{3}[/tex] x -9
Step-by-step explanation:
Put both equations in the slope intercept form
y =mx + b
5x - 3y = 7 Subtract 5x from both sides
-3y = -5x + 7 Divide both sides by -3
y = [tex]\frac{-5}{-3}[/tex] x + [tex]\frac{7}{-3}[/tex] Cleaned up
y = [tex]\frac{5}{3}[/tex] x - [tex]\frac{7}{3}[/tex]
4x -y = 9 Subtract 4x from both sides
-y = -4x + 9 Divide all the way through by -1
y = 4x - 9
To make a line parallel to the first equation, we need the same slope. The slope of the first equation is [tex]\frac{5}{3}[/tex]. We are also told to have the same y intercept as the second equation which is -9
y = [tex]\frac{5}{3}[/tex] x - 9
At the tart of the day, a decorator reted a 3 m ladder | againt a vertical wall o that the foot of the ladder wa | 60 cm away from the bae of the wall. | During the day, the ladder lipped down the wall, cauing | the foot of the ladder to move 80 cm further away from the bae of the wall. | How far down the wall, in centimetre, did the ladder lip? | Give your anwer to the nearet 1 cm. |
The distance at which the ladder slips down the wall is equal to 5cm.
As given in the question,
figure of the given situation attached.
Length of the ladder AD or BE = 3m
= 300cm
Distance between base of wall and ladder before slipping 'DC'= 60cm
Distance after slipping 'EC' = 80 cm
In ΔADC,
AC =√AD² -CD²
= √ 300² - 60²
= √86400
= 293.9
= 294 cm ( nearest cm)
BC = √ BE² - EC²
= √300² -80²
= √ 83600
= 289.1
= 289 cm ( nearest cm)
Distance AB = AC - BC
= 294 - 289
= 5cm
Therefore, distance between the ladder before and after slipping on the wall is 5cm.
The complete question is :
At the start of the day , a decorator rested a 3m ladder against a vertical wall so that the foot of the ladder was 60cm away from the base of the wall. During the day, the ladder slipped down the wall, causing the foot of the ladder to move 80cm further away from the base of the wall. How far down the wall, in centimeters, did the ladder slip? Give your answer to the nearest 1cm.
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What is an equation of the line that passes through the points (5,3) and (5,5) (please help)
Answer:
The x value does not change between the two points, meaning that our line includes all possible points in which x=5.
x=5 is the slope.
Answer:
x = 5
Step-by-step explanation:
slope: undefined
So, x = 5
A company designs a model pyramid with a square base that has side lengths equal to 5 inches and a height of 10 inches. To save costs in production, the lengths of the sides of the base are each reduced by one inch while the pyramid's height remains the same. What are the volumes of the original and the reduced size pyramids?
The volume of the original pyramid is, 250/3 cubic inches, and the volume of the reduced size pyramid is, 80/3 cubic inches.
What is the pyramid?
A pyramid is a structure that has triangular exterior surfaces that converge to a single step at the summit, giving it roughly a pyramidal shape in the geometric sense. Any polygonal form, including triangular and quadrilateral, can serve as the base of a pyramid. A pyramid has at least three outside triangle surfaces as a result.
Let, the pyramid has a square base of lengths 5 inches and the height is 10 inches.
Since,
Volume of pyramid = (l x b x h)/3
where,
l is the base length,
b is the base width and
h is the height.
Here, l = b = 5, h = 10
So,
V = (5 x 5 x 10)/3 = 250/3 cubic inches.
Now, to save costs in production, the lengths of the sides of the base are each reduced by one inch while the pyramid's height remains the same.
So, l = b = 4, h = 10
Therefore,
V = (l x b x h)/3 = (4 x 4 x 10)/ 3 = 80/3 cubic inches.
Hence, the volume of original pyramid is, 250/3 cubic inches and the volume of reduced pyramid is, 80/3 cubic inches.
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Harry needs wood pieces to complete a project in woodshop class. He needs four pieces of wood that have a length of two and three fourths feet and five pieces of wood that are one and two thirds feet. What is the total amount of wood that Harry will need for the project?
The total amount of wood that Harry will need for the project is [tex]19\frac{1}{3}[/tex] feet.
What is a mixed fraction?
A mixed fraction is one that has both its quotient and remainder represented.
Or, a mixed fraction is a fraction that is created by combining a whole number and a fraction.
Given, 4 pieces of wood that have a length of [tex]2\frac{3}{4}[/tex] feet
And, 5 pieces of wood that have a length of [tex]1\frac{2}{3}[/tex] feet
So,
The total amount of wood = [tex]4*2\frac{3}{4} +5*1\frac{2}{3}[/tex]
= [tex]4*\frac{11}{4} + 5*\frac{5}{3}[/tex]
= [tex]11+ \frac{25}{3}[/tex]
= [tex]\frac{(11*3)+25}{3} = \frac{33+25}{3} = \frac{58}{3} = 19\frac{1}{3}[/tex]
Hence, the total amount of wood is [tex]19\frac{1}{3}[/tex] feet.
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the bureau of alcohol, tobacco, and firearms (batf) has been concerned about lead levels in california wines. in a previous testing of wine specimens, lead levels ranging from 45 to 750 parts per billion were recorded. how many wine specimens should be tested if the batf wishes to estimate the true mean lead level for california wines to within 10 parts per billion with 95% confidence? (round your answer up to the nearest whole number.)
Using the Uniform Distribution and the Z- distribution, it is found that 1591 specimens should be tested.
Uniform Distribution: It refers to a type of probability distribution in which all outcomes are equally likely.
Z- Distribution: The standard normal distribution, also known as z distribution, is a special normal distribution where the mean is 0 and standard deviation is 01.
For an uniform distribution of bounds a & b the standard deviation is given by: α = √ (b-a)²÷12
here, α= standard deviation.
in this problem, a = 45 and b = 750, thus the estimate is:
α = √(750-45)² ÷ 12
= √497025 ÷ 12
= 203.5
the margin of error of a Z confidence interval is given by:
M = z (α ÷√n)
where, z is the critical value
α is the population Standard deviation
n is the sample size.
Now, finding the critical value which is z with a p - value of (1+∝ )÷2, where ∝ is confidence level.
here, ∝ = 0.95, thus z with a p-value of (1+0.95)÷ 2 = 0.96
∴ z= 0.96
standard deviation estimates is 203.5.
now, we want sample for a margin of error of 10, then,
M= z( α ÷ √n)
⇒ 10 = 1.96 ( 203.5 ÷ √n)
⇒ 10√n = 1.96 (203.5)
⇒ √n = 0.196 (203.5)
⇒ (√n)² = [0.196(203.5)]²
⇒ n = 1590.89
Round up the value 1590.89 by:
1591 specimen should be tested
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Lia’ pet hop ha 2 fih tank. Tank A contain maller fih who are fed 1 gram of food each per day. Tank B contain larger fih who are fed 2 gram of food each per day. If tank B contain 2/3 the number of fih that tank A contain, will Lia ever feed both tank the ame amount of food?
No, feeding both tanks the same amount of food is impossible.
Let's assume a pet store has two fish tanks and tank A contains Z number of smaller fish.
In tank A, she fed each fish one gram of food per day,
which equals Z*1, while
in tank B, she fed each fish two grams of food per day,
which is (2/3*Z)*2.
Let's now test the feasibility of feeding both tanks the same amount of food.
Z*1 = (2/3*Z) *2
Z = (2/3*Z) *2
3Z = 2*Z*2
3Z = 4 Z Lia will not be able to feed both tanks with the same amount of food because it is not possible.
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Identify m∠LMN. The figure how triangle M L N. Angle L i a right angle. A meaure of angle M i given by the formula x plu 15 degree. Side L N lie on ray L O with endpoint L. Angle M N O i an exterior angle and it meaure i given by the formula 3 time x plu 15 degree
The angle of triangle ∠LMN = 60 degrees,
Right angle triangle MLN where at L it is a right angle ∠MLN=90 and the line LN of triangle MLN lies on the ray LO passes through LN it makes an exterior angle with MN it is given by 3x+15 degrees whereas angle M in the triangle MLN is given by ∠LMN = x+15 degrees.
By using the exterior angle relation that exterior angle =sum of two opposite internal angles,
Here, 3x+15=x+15+90,
We get x=45 degrees ,
So angle ∠LMN is x+15 which is 60,
Hence, The angle of triangle ∠LMN = 60 degrees.
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T Mobile charges $20 for the 1st phone plan and $6 per line added. Jenny has at most $60 she can spend for family. Write an inequality to show how many lines she can have.
Answer:
20 + 6L ≤ 60 :)
Last week, Colton sold 14 magazine subscriptions and 36 raffle tickets for a fundraiser. This week, he sold 18 magazine subscriptions and 26 raffle tickets. If Colton charged $10.25 for each magazine subscription and $0.50 for each raffle ticket, how much money did he earn for the fundraiser over these two weeks?
If in Last week, Colton sold 14 magazine subscriptions and 36 raffle tickets for a fundraiser. This week, he sold 18 magazine subscriptions and 26 raffle tickets. If Colton charged $10.25 for each magazine subscription and $0.50 for each raffle ticket, Then $359 money he earned for the fundraiser over these two weeks
What is Equation?Two or more expressions with an Equal sign is called as Equation
Given,
10.25 for each magazine subscription and $0.50 for each raffle ticket,
M=10.25 and T=0.50
Last week:
14 magazine subscriptions and 36 raffle tickets for a fundraiser.
14M+36T
Now substitute M and T values
14(10.25)+36(0.50)
143.5+18
161.5
Current week:
18 magazine subscriptions and 26 raffle tickets.
18M+26T
Now substitute M and T values
18(10.25)+26(0.50)
184.5+13
197.5
So total money he earned for two weeks is 161.5+197.5
$359
Hence $359 money did he earn for the fundraiser over these two weeks
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Select all the expressions that are equivalent to 434( – 9).
The equivalent expression for the exponential expression 4³ . 4⁻⁹ is either 4⁻⁶ or 1/4⁶
Exponential expression:
Exponential expression means a mathematical expression consisting of a constant raised to some power.
Given,
Here we have the expression 4³ . 4⁻⁹.
Now, we have to simplify this expression to find the equivalent expression.
According to the following exponent rule,
xᵃ . xᵇ = x⁽ᵃ⁺ᵇ⁾
Based on this rule, we have rewritten the expression as,
=> 4⁽³ ⁺ ⁽⁻⁹⁾⁾
Thus the resulting value of the expression is,
=> 4 ⁽³⁻⁹⁾
=> 4⁻⁶
By using the another exponent rule, we get the value as,
=> 1/4⁶
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How many quarts are there in 21 pints?
Answer:
10.5
Step-by-step explanation:
each quart is half a pint so 21 divided by 2 is this 10.5
Write the equation in standard form for the circle with center (2,–
9) and radius 2
Required standard form for given circle is [tex](x-2)^{2}+(y+9)^{2}=4[/tex]
What is the standard form of equation of circle?Standard form of circle is expressed as[tex](x-h)^{2}+(y-k)^2=r^{2}[/tex] ,where h,k are the coordinate of the center of circle and r is radius.
According to the given data:Center (h, k) = (2, -9)
radius = 2 units
Using standard form of equation,
[tex](x-h)^{2}+(y-k)^2=r^{2}[/tex]
Putting the given values,we get
[tex](x-2)^{2}+(y-(-9))^{2}=2^{2}[/tex]
⇒ [tex](x-2)^{2}+(y+9)^{2}=4[/tex]
Hence, the standard form of equation of circle is [tex](x-2)^{2}+(y+9)^{2}=4[/tex] .
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In a popular online role playing game, players can create detailed designs for their character's "costumes," or appearance. Alonso sets up a website where players can buy and sell these costumes online. Information about the number of people who visited the website and the number of costumes purchased in a single day is listed below. 349 visitors purchased no costume. 71 visitors purchased exactly one costume. 12 visitors purchased more than one costume. Based on these results, express the probability that the next person will purchase no costume as a percent to the nearest whole number.
The probability that the next person will purchase no costume as a percent is 80%.
Number of visitors who purchase no costume = 349
Number of visitors who purchase exactly one costume = 71
Number of visitors who purchase more than one costume = 12
Total number of visitors = 349 + 71 + 12 = 432
Probability of an event P(E) = Number of favorable outcomes (visitors who purchase no costume)/Total number of outcomes
⇒ P(E) = 349/432
⇒ P(E) = 349/432
Percent form of P(E) = (349×100)/432 = 80%
Hence the probability in percent form that next person will purchase no costume is 80%.
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Factorise this : 6xy-18y
6xy - 18y
common factor is 6y:
6y(x - 3)
Find the length of an arc for a circle whose central angle is 220 degrees and radius is 32
inches.
Answer:
below
Step-by-step explanation:
The arc length is 220 / 360 ths of the total circumference
find the total circumference = pi *2r = 64 pi inches
now multiply by the fraction of the total circumference
220 / 360 * 64 pi = 122.9 in
The circumference of a circle is 14\piπ cm. Find its radius, in centimeters.
Answer:
Radius is 7π cm.
Step-by-step explanation:
Formula we use,
→ 2πr = 14π
→ 2r = 14π
Now the value of radius is,
→ 2r = 14 π
→ r = (14/2)π
→ [ r = 7π cm ]
Hence, the radius is 7π cm.
Answer:Answer:
Radius is 7π cm.
Step-by-step explanation:
Formula we use,
→ 2πr = 14π
→ 2r = 14π
Now the value of radius is,
→ 2r = 14 π
→ r = (14/2)π
→ [ r = 7π cm ]
Hence, the radius is 7π cm.
Step-by-step explanation:
Use identities to express the following in terms of sine and cose and then simplify your answer.
tan/sec
[tex]\cfrac{tan(\theta )}{sec(\theta )}\implies \cfrac{~~ \frac{sin(\theta ) }{cos(\theta ) } ~~}{\frac{1}{cos(\theta )}}\implies \cfrac{sin(\theta ) }{~~\begin{matrix} cos(\theta ) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }\cdot \cfrac{~~\begin{matrix} cos(\theta ) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }{1}\implies sin(\theta )[/tex]
A soda company would like to replace the label on a can of soda with a radius of 3 and one fourth cm. If the label touches end to end with no overlap, what is the length of the label? Use 22 over 7 for π.
143 over 56 cm
143 over 28 cm
143 over 14 cm
143 over 7 cm
The circumference of a circle is equal to the total length of its boundary. The length of label is 143 / 7 cm. the correct answer is option D.
What is a circle ?A circle is a geometrical shape having all of its points equidistant from a fixed point known as the center.
The angle subtended by a circle is 360°.
Given that,
the radius of the circle r = 3 + 1 / 4
= 13 / 4 cm
The length of label is equivalent to the circumference of circle having r = 13 / 4 cm.
The circumference is given as,
C = 2π × r
=> C = 2 × 22 / 7 × 13 / 4
=> C = ( 11 × 13 ) / 7
=> C = 143 / 7.
Hence, the length of the label is given as 143 / 7 cm.
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Answer:
d
Step-by-step explanation:
because i said so
if you choose two cards out of a deck of cards, what are the chances one is a red face card and the other is a black non-face card?
Using the probability, if you choose two cards out of a deck of cards, then the chances one is a red face card and the other is a black non-face card is 1/2.
In the given question,
If you choose two cards out of a deck of cards, then we have to find the chances one is a red face card and the other is a black non-face card.
As we know that in a deck having 52 cards. In which 26 are red and 26 are black.
We have to choose a red face card.
As we know that in a deck have 12 face cards. In which 6 red face cards and 6 black face cards.
So the chance of getting red face card is
P(R)=Total number of red face cards/Total number of cards
P(R)=6/52
We have to choose a black non-face card.
We know that in a deck have 6 black face cards and total black cards are 26. So the non face cards are 20.
So the chance of getting black non-face card is
P(B)=Total number of black non-face cards/Total number of cards
P(B)=20/52
Now the chances of getting one is a red face card and the other is a black non-face card is
P(R or B)=P(R)+P(B)
P(R or B)=6/52+20/52
P(R or B)=(6+20)/52
P(R or B)=26/52
P(R or B)=1/2
Hence, if you choose two cards out of a deck of cards, then the chances one is a red face card and the other is a black non-face card is 1/2.
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Juliet is standing atop a 15-‐foot balcony when she spots Romeo at an angle of depression of 5° . How far away is Romeo from the base of the balcony?
101.6 ft
190.5 ft
171.5 ft
87.6 ft
Romeo is 171.5 feet away from Juliet when she saw her at an angle of depression of 5 degrees.
What are trigonometric ratios in terms of a right-angle triangle?We know a right-angled triangle has three sides they are -: Hypotenuse,
Opposite and Adjacent.
We can remember SOH CAH TOA which is,
sin = opposite/hypotenuse, cos = adjecen/hypotenuse and
tan = opposite/adjacent.
Given, Juliet is standing atop a 15-‐foot balcony when she spots Romeo at an angle of depression of 5°.
Here height is 15 feet and by interior alternate angles theorem angles is 5°
we have to determine the length of the adjacent side or base.
tan5° = 15/base.
base = 15/0.087.
base = 171.5 feet.
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Jordan is a trucker. Today, he is hauling refrigerators that weigh 0. 16 tons each. His truck
weighs 15 tons when empty.
Write an equation that shows how the truck's weight in tons, y, depends on the number of
refrigerators in the truck, x.
The equation that show the relationship between the truck's weight in tons and the number of refrigerator in the truck x is y = 15 + 0.16x
The weight of the each refrigerator = 0.16 tons
The weight of truck when its empty = 15 tons
The weight of the truck = y
The number of refrigerators in the truck is x
Then the equation will be
y = 15 + 0.16x
Where y is the weight of the truck
x is the number of refrigerators
Hence, the equation that show the relationship between the truck's weight in tons and the number of refrigerator in the truck x is y = 15 + 0.16x
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PLEASE HELP ASAP
The result of 6 subtracted from a number n is at least 2. what numbers are solutions?
A.n-2>6;n>8
B.n-6>2;n>8
C.n+6>2;n<4
D.n+6>2;n>4
Answer:
B) n - 6 ≥ 2; n ≥ 8------------------------
Translate
6 subtracted from a number n ⇒ n - 6at least 2 ⇒ n - 6 ≥ 2Solution
n - 6 ≥ 2n ≥ 2 + 6n ≥ 8Option B is the closest one.
Answer:
b) n - 6 > 2 ; n > 8
Step-by-step explanation:
Given statement,
→ The result of 6 subtracted from a number n is at least 2.
Forming the inequation,
→ n - 6 > 2
Now the value of n will be,
→ n - 6 > 2
→ n > 2 + 6
→ [ n > 8 ]
Hence, the value of n is 8.
What is the solution of 2|7x – 4| + 3 = 51?
What is 30% of 40?
Lou's class has 12 students in it. 8 of the students ran a race last weekend. What percent ran the race?
What is 30% of 40?
30% = 0.3
so:
0.3 * 40 = 12
_________________________
Lou's class has 12 students in it. 8 of the students ran a race last weekend. What percent ran the race?
8 out of 12 ran so:
8/12 = 2/3
2/3 = 0.6667
0.6667 as a percentage:
0.6667 * 100 = 66.667%
[if you need it rounded to two decimal places: 66.67%]
