Answer:
BC / AB
12 / 37
Sin theta = opposite side / Hypotenuse
GOOD LUCK FOR THE FUTURE! :)
Kevin is 3 years older than Daniel. Two years ago, Kevin was 4 times as old as Daniel. Let k be Kevin's age and let d be Daniel's age. Which system of equations represents this situation?
Step-by-step explanation:
Let k be Kevin’s age and let d be Daniel’s age.
Given : Kevin is 3 years older than Daniel.
i.e. k=d+3
Kevin's age two years ago= k-2
Two years ago, Kevin was 4 times as old as Daniel.
i.e. k-2=4(d-2)
Hence, the system of equations represents this situation :
k=d+3
k-2=4(d-2)
a wildlife biologist wanted to estimate the size of a deer population because garners were complaining that the deer were destroying their crops. she trapped and tagged the ears of 28 deer in june. in august, she trapped a total of 60 deer and 17 of those had tagged ears. how large was the deer population in that area? the carry capacity is 95. should any permits be inured? if so, how many?
The estimated size of the deer population in the area is approximately 36.43. Since this is less than the carry capacity of 95, no permits need to be issued for population control.
To estimate the size of the deer population, we can use the mark and recapture method. The biologist tagged 28 deer in June and then trapped a total of 60 deer in August, of which 17 had tagged ears.
The mark and recapture method assumes that the proportion of tagged deer in the second sample represents the proportion of tagged deer in the entire population. We can set up a proportion:
(Tagged deer in the second sample) / (Total population) = (Tagged deer in the first sample) / (Total number of deer in the second sample)
Using the given information:
17 / Total population = 28 / 60
To solve for the total population, we can cross-multiply and solve the equation:
17 * 60 = 28 * Total population
1020 = 28 * Total population
Total population = 1020 / 28
Total population ≈ 36.43
Therefore, the estimated size of the deer population in that area is approximately 36.43.
To determine if any permits should be issued, we need to compare the estimated population size to the carry capacity of 95. Since the estimated population size is less than the carry capacity, no permits need to be issued.
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The height in meters of a toy rocket at t seconds can be found by the
function h(t) = -5t2 + 40t + 1.2 Find the height of the toy rocket 4 seconds
after it is launched.
Answer: 81.2
Step-by-step explanation:
h(t) = -5t² + 40t + 1.2
h(4) = -5(4)² + 40(4) + 1.2 We plug 4 seconds as t, and solve h(4)
h(4) = -80 + 160 + 1.2
h(4) = 80 + 1.2
h(4) = 81.2
Q2. How many different ways can a student be uniquely identified in Mason information systems, other than by name, address, phone number, or Social Security Number
In Mason information systems, the student be uniquely identified by Student ID Number, Email Address, Username, Student Identification Card and Enrollment or Admission Number.
Some of the commonly used methods include:
1. Student ID Number: Each student is typically assigned a unique identification number by the institution. This number serves as a distinct identifier and is used across various systems and records.
2. Email Address: Students often have a unique email address provided by the institution. This address can be used as an identifier since it is specific to the individual and does not overlap with others.
3. Username: Many educational systems assign a unique username to each student for logging into various online platforms and services. This username can be used as an identification method.
4. Student Identification Card: Institutions issue identification cards to students, which may include a barcode or other unique identifiers that can be scanned or used for identification purposes.
5. Enrollment or Admission Number: Some institutions assign a unique number to each student during the enrollment or admission process. This number can be used for identification within the information systems.
It is important to note that the methods of identification may vary among institutions. The specific identification methods used by Mason information systems would be defined by the policies and procedures implemented by the university.
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the student council at deer creak middle school
To reach the goal he student council needs to sell a minimum number of 107 tickets.
What is Sell?Sell means to gave someone something we take money from him. It is a transaction in which product is exchange with product or money. In ancient time we use barter system for transaction.
For raising $400 the student council have to sold each ticket at $4. So the number of ticket sold = $400 / $4 = 100.
They also spent $25 on decorations, so they need to recover that cost too. So, they need to sell an additional tickets = $25 / $4 = 6.25
Since we can not sell 0.25 of a ticket, So we can round the answer to 7.
So that overall total number of tickets that must be sold as 107.
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Complete question:
The student council at Deer Creek Middle School is organizing a dance to raise money for their end-of-year trip. They want to raise at least $400. Tickets are priced at $4 each and they already spent $25 on decorations. What is the minimum number of tickets they have to sell to reach their goal?
I seriously hate my fat finger xd help
Answer:
They are equal to one another
Step-by-step explanation:
1/2 is equal to .5, so id you have 6.5 on one side and 6.5 on the other, they are equal.
Answer: =
6 \(\frac{1}{2}\) = 50/100
=6.5
so 6.5 = 6 \(\frac{1}{2}\)
help ASAP!!! answer e f g h question
Step-by-step explanation:
answer......
...........
{y=3x-8
{Зу — 2x = -24
Answer:
y=-8 and x=0
Step-by-step explanation:
3y-2x=-24 is same as y=2/3x-8
equate it with y=3x-8
If an analysis of variance produces SS between = 20 and SS within = 40, then η 2 = 0.50.
true or false
Since η² ≈ 0.33 and not 0.50, the statement "If an analysis of variance produces SS between = 20 and SS within = 40, then η² = 0.50" is false.
ANOVA, or Analysis of Variance, is a statistical method used to compare the means of two or more groups to determine if there are any statistically significant differences between them. It is commonly used in experimental and observational studies to analyze the variance between group means and within-group variability.
ANOVA tests the null hypothesis that the means of the groups are equal, against the alternative hypothesis that at least one of the group means is different. It calculates the F-statistic, which compares the between-group variability to the within-group variability. If the F-statistic is large enough and exceeds a critical value, it indicates that there is evidence to reject the null hypothesis and conclude that there are significant differences between the group means.
We can determine if η² = 0.50 is true or false by calculating the effect size η² using the provided SS between and SS within values.
η² = SS_between / (SS_between + SS_within)
η² = 20 / (20 + 40)
η² = 20 / 60
η² = 1/3 ≈ 0.33
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True, the eta-squared value is indeed 0.50, indicating that 50% of the total variance is accounted for by the between-group variation.
The formula to calculate eta squared (η2) is:
η2 = SSbetween / (SSbetween + SSwithin)
If SSbetween = 20 and SSwithin = 40, then:
η2 = 20 / (20 + 40) = 0.5
Therefore, η2 = 0.50, which means that 50% of the total variance in the dependent variable can be attributed to the independent variable (or factor) being analyze. The statement "If an analysis of variance produces SS between = 20 and SS within = 40, then η 2 = 0.50" is true. To determine η 2 (eta-squared), you'll need to calculate the proportion of total variance explained by the between-group variation. This can be done using the formula η 2 = SS between / (SS between + SS within). In this case, η 2 = 20 / (20 + 40) = 20 / 60 = 0.50. Therefore, the eta-squared value is indeed 0.50, indicating that 50% of the total variance is accounted for by the between-group variation.
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what is the answer to 12.4-8.96?
Answer:
3.44
Step-by-step explanation:
12.40 - 8.96 = 3.44
I hope this helped, please mark Brainliest, thank you!
What is the process of the federal congress to making a law
Answer:
The Bill Begins. Laws begin as ideas.
The Bill Is Proposed. When a Representative has written a bill, the bill needs a sponsor.
The Bill Is Introduced.
The Bill Goes to Committee.
The Bill Is Reported.
The Bill Is Debated.
The Bill Is Voted On.
The Bill Is Referred to the Senate
Step-by-step explanation:
ACSA Governmental Relations staff tracks hundreds of education related bills through the legislative process from introduction through to the Governor’s signature or veto of the bill. We bring most of these bills to ACSA’s Legislative Policy Committee to take positions on behalf of ACSA. Once these positions are set by the Committee, ACSA Governmental Relations staff begins advocating for or against the bill in accordance with the position taken.
When necessary and at key points in the legislative process, we will take our advocacy efforts back to you and ACSA’s membership by sending “Action Alerts” asking you to either send a letter or make a phone call to your legislative representatives and/or policy or fiscal committee members advocating ACSA’s position on the legislation in question. It is important that you respond to “Action Alerts” as quickly as possible as legislation is quickly moving through the process, making most of these alerts time sensitive.
A) Find the constant of proportionality ( K )K =B) Find the equation Y = ____X
N 7
Part A
In a direct variation
k=y/x
take one point from the graph
(2,4)
k=4/2
k=2Part B
In a direct variation, the equation is
y=kx
we have
k=2
therefore
y=2xThe parallel line cannot have a y-intercept of c because then the lines would be
A. The same line
B. Perpendicular
C. Parallel
The parallel line cannot have a y-intercept of c because then the lines would be :- The same line.
Define parallel line.Parallel lines are two lines in the same plane that are equal distance apart and never intersect.
Two parallel lines have the same slope but different y-intercepts. If one of the parallel lines has a y-intercept of c, its equation is y = mx + c, where m is the slope. The other parallel line's equation would be y = mx + b, where b is a separate y-intercept.
If two lines have the same slope m and y-intercept c, their equations are the same: y = mx + c. As a result, they would be the same line rather than parallel lines.
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8. (10 points) \( 55 \% \) of all people are \( \mathrm{O} \) negative. If 10 people donate blood at the blood drive. (1) (5 points) What is the probability that \( 7 \mathrm{O} \) negative blood type
The probability of having 7 out of 10 people with O negative blood type can be calculated using the binomial probability formula. The likelihood of selecting 7 O negative blood donors out of a group of 10.
To calculate the probability, we can use the binomial probability formula: P(X = k) = C(n, k) * p^k * (1 - p)^(n - k), where P(X = k) represents the probability of getting exactly k successes, n is the total number of trials, p is the probability of success in each trial, and C(n, k) is the binomial coefficient, which represents the number of ways to choose k items from a set of n items.
In this case, we want to find the probability of having 7 O negative blood donors out of 10, given that the probability of any individual having O negative blood type is 55% (or 0.55).
Plugging in the values into the binomial probability formula, we have:
P(X = 7) = C(10, 7) * (0.55)^7 * (1 - 0.55)^(10 - 7)
Calculating the binomial coefficient, we have:
C(10, 7) = 10! / (7! * (10 - 7)!) = 120
Substituting the values into the formula, we get:
P(X = 7) = 120 * (0.55)^7 * (0.45)^3
Evaluating this expression gives us the probability that 7 out of 10 people have O negative blood type.
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THIS IS INTEGERS WITH MULTIPLICATION AND DIVISION!!!
A rollercoaster rises 160 feet into the air before dropping 190 feet . What’s the heigh of the rollercoaster ??
A. -30 feet
B. 30 feet
C. 350 feet
D. -10 feet
Answer:
B
Step-by-step explanation:
IT'S OBVIOUSLY B-30 BECAUSE WHEN YOU SAY -30 IT MEANS 0 BUT WHEN YOU SAY -10 ZERO AGAIN AND WHEN YOU SAY 350 IT'S NOT IT BCS IT'S TOO HIGH LOL, SO OBVIOUSLY IT'S 30.
please help asap, thank you!!
A bunny seller began their business with only 2 bunnies. The seller noticed that the number of bunnies the farm expanding after t days can be modeled by the equation P = 2 ∙ 3^t In this equation, what does 3^3 represent? *
Step-by-step explanation:
A bunny seller began their business with only 2 bunnies. The seller noticed that the number of bunnies the farm expanding after t days can be modeled by the equation
\(P=2(3)^t\)
we know that the exponential equation is in the form of
\(y=a(b)^x\)
Where 'a' is the initial value
y is the final value
b is the rate factor
x is the time period
P=2(3)^t
\(3^3\) represent the value of t is 3
we know that 't' represents the number of days
\(3^3\) represent the farm expanding after 3 days
Which set of ordered pairs is a function?
{(-21).(-4, 2), (0, 3), (4,1),(-2,5)}
{(-1,5), (-1,4),(-1,3), (-1,2), (-1,1)}
{(-6, -4), (-4,-2), (0,0).(-4, 2). (-6,4)}
{(-5,1). (-3, 2), (-1,3), (1,4), (3,5)}
The ratio of students who wore jeans and students who wore shorts was 5:3 if 15 students wore jeans how many wore shorts
If 15 students wore jeans, then 9 students wore shorts based on the given ratio of 5:3.
To determine the number of students who wore shorts, we can use the given ratio of students who wore jeans to students who wore shorts, which is 5:3.
Let's assume that the number of students who wore shorts is represented by x. According to the ratio, the number of students who wore jeans is 5.
Now, we can set up a proportion using the ratio:
5/3 = 15/x
To solve for x, we can cross-multiply:
5x = 3 * 15
5x = 45
Dividing both sides of the equation by 5:
x = 45/5
x = 9
Therefore, according to the specified ratio of 5:3, if 15 pupils wore jeans, then 9 students wore shorts.
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The life expectancy of Timely brand watches is normally distributed with a mean of four years and a standard deviation of eight months.
a. What is the probability that a randomly selected watch will be in working condition for more than five years?
b. The company has a three year warranty period on their watches. What percentage of their watches will be in operating condition after the warranty period?
c. What is the minimum and the maximum life expectancy of the middle 95% of the watches?
d. Ninety-five percent of the watches will have a life expectancy of at least how many months?
a.The probability that a randomly selected watch will be in working condition for more than five years is approximately 6.68%. b.Approximately 93.32% of the watches will be in operating condition after the warranty period. c. The maximum life expectancy of the middle 95% of the watches is approxiamately 63.68 months. d.The range of the middle 95% of the watches is from 32.32 months to 63.68 months. The range represents 95% of the watches, it means that 5%.
a. To find the probability that a randomly selected watch will be in working condition for more than five years, we need to convert the time to the same unit as the distribution. Since the mean is given in years and the standard deviation is given in months,
we need to convert five years to months.
Mean = 4 years = 4 x 12 months = 48 months
Standard deviation = 8 months
To calculate the probability, we need to find the area under the normal distribution curve to the right of 60 months (5 years).
Using a standard normal distribution table or a calculator, we can find the z-score corresponding to 60 months:
z = (x - μ) / σ
z = (60 - 48) / 8 = 12 / 8 = 1.5
The probability can be found by looking up the z-score in the standard normal distribution table or using a calculator. From the table or calculator, we find that the probability is approximately 0.0668, or 6.68%.
b. The warranty period for Timely brand watches is three years. To find the percentage of watches that will be in operating condition after the warranty period, we need to find the probability that a randomly selected watch will last longer than three years.
We need to convert three years to months:
Warranty period = 3 years = 3 x 12 months = 36 months
We calculate the z-score:
z = (x - μ) / σ
z = (36 - 48) / 8 = -12 / 8 = -1.5
Using the standard normal distribution table or a calculator, we find the area to the left of -1.5 is approximately 0.0668. The probability that a randomly selected watch will not last longer than three years is approximately 0.0668.
To find the percentage of watches that will be in operating condition after the warranty period, we subtract this probability from 1 (since we want the complementary probability):
Percentage = 1 - 0.0668 = 0.9332 = 93.32%
c. The middle 95% of the watches represents the range within which 95% of the watches' life expectancy falls. To find the minimum and maximum life expectancy of this range, we need to determine the z-scores that correspond to the cumulative probability of 0.025 and 0.975.
For the minimum life expectancy (lower bound), we look up the z-score that corresponds to a cumulative probability of 0.025. This z-score is approximately -1.96.
z = -1.96
Using the z-score formula, we can find the corresponding value in months:
x = μ + (z x σ)
x = 48 + (-1.96 * 8) = 48 - 15.68 = 32.32
The minimum life expectancy of the middle 95% of the watches is approximately 32.32 months.
For the maximum life expectancy (upper bound), we look up the z-score that corresponds to a cumulative probability of 0.975. This z-score is also approximately 1.96.
z = 1.96
Using the z-score formula, we can find the corresponding value in months:
x = μ + (z x σ)
x = 48 + (1.96 x 8) = 48 + 15.68 = 63.68
d. Ninety-five percent of the watches refer to the range between the 2.5th and 97.5th percentiles. We already calculated the z-scores corresponding to these percentiles in part c: -1.96 and 1.96.
To find the range in months,
we convert the z-scores back:
\(x_{1}\)= μ +\(z_{1}\) x σ = 48 + (-1.96) x 8 = 32.32 months,
and \(x_{2}\)= μ + \(z_{2}\) x σ
= 48 + 1.96 x 8
= 63.68 months.
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through: (3,3), parallel to y=8/3x+5
Answer:
(0,5)
Step-by-step explanation:
What is the x-coordinate of the solution of the system?
x+y+3
4x-y=-38
Note: I am assuming the first equation is:
x+y = 3
Answer:
The solution to the system of equations is:
(x, y) = (-2, 36)
Therefore, the x-coordinate of the solution of the system
x = -2
Step-by-step explanation:
Given the system of equations
\(\begin{bmatrix}x+y=34\\ x-y=-38\end{bmatrix}\)
subtracting the equations
\(x-y=-38\)
\(-\)
\(\underline{x+y=34}\)
\(-2y=-72\)
solve -2y for y
\(-2y=-72\)
Divide both sides by -2
\(\frac{-2y}{-2}=\frac{-72}{-2}\)
\(y=36\)
For x+y=34 plug in y = 36
\(x+36=34\)
Subtract 36 from both sides
\(x+36-36=34-36\)
Simplify
\(x=-2\)
Thus, the solution to the system of equations is:
(x, y) = (-2, 36)
Therefore, the x-coordinate of the solution of the system
x = -2
An angle measures 58.6° less than the measure of its complementary angle. What is the
measure of each angle?
Answer:
Your answer is 31.4°.
Step-by-step explanation:
The answer itself just requires very simple thinking. Complementary angles are any two angles that add up to 90 degrees. We are given ANGLE<1, so all we have to do is subtract 90 from 58.6 to find ANGLE<2.
90°-58.6°= 31.4°
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A candy is shaped like a
triangular pyramid. The height of
the candy is 12 mm, and the
volume of the candy is 204 mm³.
What is the area of the base of
the candy?
Answer:
Step-by-step explanation:
Since the candy is in the shape of a triangular pyramid, we can use the formula for the volume of a pyramid:
Volume of pyramid = (1/3) x base area x height
We know the height of the candy is 12 mm, and the volume of the candy is 204 mm³. So we can rearrange the formula to solve for the base area:
base area = (3 x Volume of pyramid) / (height)
base area = (3 x 204 mm³) / (12 mm)
base area = 51 mm²
Therefore, the area of the base of the candy is 51 mm².
Find the linear approximation of the f(x,y)=x+yx at the point (1,6)
\(L(x,y)=f(a,b)+f_x'(a,b)(x-a)+f_y'(a,b)(y-b)\\\\f(x,y)=x+yx\\(a,b)=(1,6)\\\\f(1,6)=1+6\cdot1=7\\f'_x(x,y)=1+y\\f'_x(1,6)=1+6=7\\f'_y(x,y)=x\\f'_y(1,6)=1\\\\L(1,6)=7+7\cdot(x-1)+1\cdot(y-6)\\L(1,6)=7+7x-7+y-6\\L(1,6)=7x+y-6\)
For a set of five positive integers, none greater than 100, the mean is 1.5 times the mode. If 31, 58, 98, x, and x are the five integers, what is the value of x?
Answer: the value of x is 34.
Step-by-step explanation: Let's start by finding the mode of the set of integers. The mode is the number that appears most frequently in the set.
From the given integers, we can see that x appears twice, and all other numbers appear only once. Therefore, the mode is x.
Now we are told that the mean of the set is 1.5 times the mode. We can set up an equation to represent this:
(mean) = 1.5 * (mode)
To find the mean, we can add up all the numbers in the set and divide by the total number of integers:
(mean) = (31 + 58 + 98 + x + x) / 5
Simplifying the expression on the right:
(mean) = (187 + 2x) / 5
Substituting this expression for the mean into our equation:
(187 + 2x) / 5 = 1.5x
Multiplying both sides by 5 to eliminate the fraction:
187 + 2x = 7.5x
Subtracting 2x from both sides:
187 = 5.5x
Dividing both sides by 5.5:
x = 34
Therefore, the value of x is 34.
Determine los ángulos de un triángulo con lados de longitud 7,6 & 9 pies respectivamente y encuentre su área.
Por la ley de coseno se encuentra que las medidas de los ángulos internos del triángulo son aproximadamente 50.977°, 41.752° y 87.271°, respectivamente. El área del triángulo según la fórmula de Herón es aproximadamente 20.976 pies cuadrados.
¿Cómo determinar los ángulos y el área del triángulo?
En esta pregunta tenemos conocimiento de las medidas de los tres lados del triángulo, a partir de los cuales debemos hallar las medidas de sus ángulos internos y el área de la figura geométrica. Primero, se determina la medida de los ángulos mediante la ley del coseno:
cos α = (7² - 6² - 9²) / (- 2 · 6 · 9)
α ≈ 50.977°
cos β = (6² - 7² - 9²) / (- 2 · 7 · 9)
β ≈ 41.752°
cos γ = (9² - 7² - 6²) / (- 2 · 7 · 6)
γ ≈ 87.271°
Finalmente, se determina el área mediante la fórmula de Herón:
Semiperímetro
s = 0.5 · (7 + 6 + 9)
s = 11
Fórmula de Herón
A = √[11 · (11 - 7) · (11 - 6) · (11 - 9)]
A ≈ 20.976
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A new community wellness complex is being built in Hadleyville. The perimeter of the rectangular playing field is 440 yards. The length of the field is 4 yards less than triple the width. What are the dimensions of the playing field. (ANSWER ASAP PLEASE!!)
Answer:
length is 167 yards and width is 57 yards
Step-by-step explanation:
see attached. good luck!
Length=154yards and width =56yards
Given that perimeter of rectangular playing yard is 440yards=2(L+W)
Length of field is 4 yards less than triple the width i.e Length = (3W-4)
What is perimeter of rectangle?
Perimeter = 2(L+W)
2(L+W)=440....(*)
We have L=(3W-4)
Plug L value in *
2(3W-4+W)=440
2(4W-4)=440
8(W-1)=440
W-1=55
W=56
So W= 56
L=3(56)-4=164
Therefore Length=154yards and width =56yards
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The soil in Sean's backyard is made up of 45% sand. If he has 1000 lbs of soil in his yard, how many pounds of sand are there?
Answer: 450 lbs
Step-by-step explanation:
45/100 is 45%
Since there are 1000 lbs we multiply 45/100 by 10, giving us 450/1000
Therefore 45% of 1,000 is 450
450 pounds of sand is present in the soil.
What is percentage?
'A percentage is a number or ratio expressed as a fraction of 100. A percentage is a dimensionless number, that is, it has no unit of measurement.'
Total weight of soil in Sean's backyard = 1000 pounds
Percentage of sand in the soil = \(\frac{45}{100}\)
Total amount of sand in the soil = ( \(\frac{45}{100}\) × 1000 ) lbs
= 450 lbs
Hence, we can conclude, 450 pounds of sand is present in the soil in Sean's backyard.
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what is the value of 8+2 to the third power times 5
Answer:
48
Step-by-step explanation:
use pemdas. first you do the exponents so you now have 8+8x5
then multiplication so now you get 8+40
then add to get your answer: 48
hope this helps :))