Answer:
yes
Step-by-step explanation:
according to the centers for disease control and prevention, 60% of all american adults ages 18 to 24 currently drink alcohol. is the proportion of california college students who currently drink alcohol different from the proportion nationwide? a survey of 450 california college students indicates that 66% curre quizlert
the proportion of California college students who currently drink alcohol different from the proportion nationwide p0 = 0.60 (nationwide proportion from CDC)
Information provided; we can determine if the proportion of California college students who currently drink alcohol is different from the proportion nationwide by conducting a hypothesis test. Here are the steps:
The null hypothesis (H0) and alternative hypothesis (H1):
H0: The proportion of California college students who drink alcohol is the same as the nationwide proportion.
(p = 0.60).
H1: The proportion of California college students who drink alcohol is different from the nationwide proportion.
(p ≠ 0.60).
The sample proportion (p-hat), sample size (n), and the population proportion (p0):
p-hat = 0.66 (66% of the 450 California college students surveyed)
n = 450 (sample size)
p0 = 0.60 (nationwide proportion from CDC)
The test statistic (z) using the following formula:
[tex]z = (p-hat - p0) / \sqrt((p0 \times (1 - p0)) / n)[/tex]
A standard normal distribution table or calculator to find the p-value associated with the test statistic.
Compare the p-value to a predetermined significance level (α), usually set at 0.05.
- If the p-value is less than α, reject the null hypothesis (H0), suggesting that the proportion of California college students who drink alcohol is different from the nationwide proportion.
- If the p-value is greater than α, fail to reject the null hypothesis (H0), indicating that there is not enough evidence to suggest a difference between the two proportions.
Determine if the proportion of California college students who drink alcohol is significantly different from the nationwide proportion.
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An investment of $600 is made into an account that earns 6. 5% annual simple interest for 15
years. Assuming no other deposits or withdrawals are made, what will be the balance in the
account?
According to the investment, after 15 years, the balance in the account would be $1185.
To calculate the final balance after 15 years, we can use the formula for simple interest:
Simple Interest = Principal x Interest Rate x Time
In this case, the principal is $600, the interest rate is 6.5%, and the time is 15 years.
Simple Interest = $600 x 0.065 x 15
Simple Interest = $585
So the investment of $600 earns $585 in simple interest over 15 years. To find the final balance, we add the interest earned to the initial investment:
Final Balance = Principal + Simple Interest
Final Balance = $600 + $585
Final Balance = $1185
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Two bank accounts open with deposits of $1,810 and annual interest rates of 2.5%. Bank A uses simple interest and Bank B uses interest compounded monthly How much more in interest does the account at Bank B earn in 5 years?
[tex]~~~~~~ \stackrel{ \textit{\LARGE Bank A} }{\textit{Simple Interest Earned}} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$1810\\ r=rate\to 2.5\%\to \frac{2.5}{100}\dotfill &0.025\\ t=years\dotfill &5 \end{cases} \\\\\\ I = (1810)(0.025)(5) \implies I = 226.25 \\\\[-0.35em] ~\dotfill[/tex]
[tex]~~~~~~ \stackrel{ \textit{\LARGE Bank B} }{\textit{Compound Interest Earned Amount}} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$1810\\ r=rate\to 2.5\%\to \frac{2.5}{100}\dotfill &0.025\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &5 \end{cases}[/tex]
[tex]A = 1810\left(1+\frac{0.025}{12}\right)^{12\cdot 5} \implies A \approx 2050.73~\hfill \underset{ interest }{\stackrel{2050.73~~ - ~~1810 }{\approx 240.73}} \\\\[-0.35em] ~\dotfill\\\\ 240.73~~ - ~~226.25 ~~ \approx ~~ \text{\LARGE 14.48}[/tex]
for a certain type of hay fever, medicine h has a 30% probability of working. in which distributions does the variable x have a binomial distribution? select each correct answer.
The distribution in which variable x has binomial distribution are as follow,
Option A) When the medicine is tried with two patients, X is the number of patients for whom the medicine worked.
Option D) When the medicine is tried with six patients, X is the number of patients for whom the medicine worked.
When the medicine is tried with two patients, X is the number of patients for whom the medicine worked.
This variable X follows a binomial distribution .
Because there are two independent trials two patients.
With a constant probability of success 30%.
And the outcome of one trial doesn't affect the outcome of the other.
When the medicine is tried with six patients, X is the number of patients for whom the medicine does not work.
This variable X does not follow a binomial distribution.
Because the probability of success is not constant it's the complement of 30%, which is 70%.
Also, the outcome of one trial affects the outcome of the other trials.
As there are only six patients .
Number of patients for whom medicine does not work depends on number of patients for whom it worked.
When the medicine is tried with six patients, X is the number of patients for whom the medicine worked.
This variable X follows a binomial distribution.
Because there are six independent trials six patients with a constant probability of success (30%) .
The outcome of one trial doesn't affect the outcome of the other.
When the medicine is tried with two patients, X is the number of doses each patient needs to take.
This variable X does not follow a binomial distribution.
Because it's not a count of successes out of a fixed number of independent trials.
But rather a continuous variable that can take any non-negative value.
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The above question is incomplete, the complete question is:
For a certain type of hay fever, Medicine H has a 30% probability of working.
In which distributions does the variable X have a binomial distribution?
Select EACH correct answer.
A. When the medicine is tried with two patients, X is the number of patients for whom the medicine worked.
B. When the medicine is tried with six patients, X is the number of patients for whom the medicine does not work.
C. When the medicine is tried with six patients, X is the number of patients for whom the medicine worked.
D. When the medicine is tried with two patients, X is the number of doses each patient needs to take.
Homework 18.1.-trigonometric ratios
Find the 3 trigonometric ratios. If needed, reduce fractions.
Step-by-step explanation:
rotate the triangle in your mind (or as actual picture on your phone or computer), so that the right angle is the bottom right or bottom left, and C being the opposite bottom angle.
then we see
28 = cos(C) × 35
21 = sin(C) × 35
and so,
sin(C) = 21/35 = 3/5
cos(C) = 28/35 = 4/5
tan(C) = sin(C)/cos(C) = 3/5 / 4/5 = 3/4
hat kind of cups for measuring are sometimes made from glass or something transparent so the markings on the side with different measurements are visible? a tare measuring cups b maillard measuring cups c standard measuring cups d graduated measuring cups
The graduated measuring cups are made from something glass or something transparent to markings on the side with different measurements are visible. Option (d) is the correct answer.
The kind of cups for measuring that are sometimes made from glass or something transparent so the markings on the side with different measurements are visible are called graduated measuring cups. These cups are designed to make measuring precise amounts of liquid or dry ingredients easy, and the transparent material allows you to see the measurement markings clearly. Graduated measuring cups are commonly used in baking and cooking, as well as in scientific research and other applications where accurate measurements are essential.
Therefore, Graduated measuring cups is the answer.
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Solving systems by eliminations; finding the coeficients
please write all the problems down, 10 points for each problem, and Brainliest
Therefore, the solution is equation (x, y) = (52/7, -10/7).
To solve the system of equations by elimination, we need to eliminate one of the variables. We can do this by multiplying one or both equations by a constant to create opposite coefficients for one of the variables. Then, we can add or subtract the equations to eliminate that variable and solve for the other variable. Here's how to solve the given system of equations:
Multiply the first equation by 3 and the second equation by 2 to create opposite coefficients for y:
[tex]3(x - 2y = 12) - > 3x - 6y = 36[/tex]
[tex]2(-5x + 3y = -44) - > -10x + 6y = -88[/tex]
Add the equations to eliminate y:
[tex]3x - 6y + (-10x + 6y) = 36 + (-88)[/tex]
[tex]-7x = -52[/tex]
Solve for x by dividing both sides by -7:
[tex]x = 52/7[/tex]
Substitute x = 52/7 into either equation to solve for y. Using the first equation:
[tex]52/7 - 2y = 12[/tex]
[tex]-2y = 12 - 52/7[/tex]
[tex]-2y = 72/7 - 52/7[/tex]
[tex]-2y = 20/7[/tex]
[tex]y = -(10/7)[/tex]
Check the solution by substituting the values of x and y into both equations:
[tex]x - 2y = 12 - > 52/7 - 2(-10/7) = 12 (true)[/tex]
[tex]-5x + 3y = -44 - > -5(52/7) + 3(-10/7) = -44 (true)[/tex]
Therefore, the solution is (x, y) = (52/7, -10/7).
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the percentage of the original area of wetlands currently left in the united states is approximately: question 44 options: 10%. 25%. 50%. 65%. 75%.
The percentage of the original area of wetlands currently left in the United States is approximately 50%. So, the correct
option is 50% (option 3).
Percentages are a way of expressing a proportion or a fraction as a part of 100. It is denoted by the symbol "%".
According to the United States Environmental Protection Agency (EPA), it is estimated that about 50% of the original
wetlands in the contiguous United States have been lost since the 1600s due to human activities such as agriculture,
development, and urbanization. Therefore, the correct answer to the question is 50%.
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The percentage of the original area of wetlands currently left in the United States is approximately 50%.
Wetlands are regions of land where the soil is continually or intermittently soaked with water. Wetlands have a particular hydrology, soil, and vegetation mix that results in specialised ecosystems that offer a variety of ecological functions.
There are many different types of habitats where wetlands can be found, such as coastal locations, interior regions, and high-altitude mountain regions. They come in a variety of shapes, such as marshes, swamps, bogs, fens, and estuaries, and can be freshwater, brackish, or saline.
Wetlands are significant for several reasons. For species, such as migrating birds, amphibians, and fish, they offer crucial habitats. They also aid in removing contaminants from water, lessen the effects of flooding, and give people access to recreational activities. Wetlands are crucial for carbon sequestration as well.
Based on the information provided, the question is asking for the approximate percentage of the original area of wetlands currently left in the United States. The answer is approximately 50%.
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1. The area of a rectangle can be represented by a
quadratic function. You are given a rectangle with a length
that is 3 inches more than four times the width, w. Choose
all the answers that give the area as a function of the
width
a) A(w)=w(4+3w)
b) A(w)=w(3+4w)
c) A(w)=4w+3w²
d) A(w)=4w²+3w
-7
The expression that gives the area as a function of the width is 4w²+3w.( option B)
What is area of a rectangle?The area of a shape is the space occupied by the boundary of a plane figures like circles, rectangles, and triangles.
The area of a rectangle is expressed as ;
A = l×w, where l is the length and w is the width.
Since the length is 3 inches more than four times the width, then;
l = 3+4w
Representing 3+w for l in the area formula, then we have;
A = (3+4w)(w)
A = 4w²+3w
therefore the expression that represents the area is 4w²+3w
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which of the following is a correct statement regarding the null hypothesis? the null hypothesis is sometimes called the alternative hypothesis. the null hypothesis is the one the researcher cares the most about. the null hypothesis claims the opposite of what the researcher believes. the null hypothesis is usually more accurate than the research hypothesis.
The correct statement regarding the null hypothesis is: the null hypothesis claims the opposite of what the researcher believes.
The null hypothesis is the claim that no relationship exists between two sets of data or variables being analyzed. The
null hypothesis is that any experimentally observed difference is due to chance alone, and an underlying causative
relationship does not exist, hence the term "null".
In research, the null hypothesis is a statement of no effect or no relationship between variables, while the alternative
hypothesis represents the effect or relationship the researcher is interested in demonstrating.
The purpose of statistical testing is to determine whether there is enough evidence to reject the null hypothesis in
favor of the alternative hypothesis.
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From the top of a 120-foot-high tower, an air traffic controller observes an airplane on the runway at an angle of depression of 19°. How far from the base of the tower is the airplane? Round to the nearest tenth.
1. 126.9 ft
2. 368.6 ft
3. 41.3 ft
4. 348.5 ft
The distance of the base of the tower and the airplane is 348.5 ft, and the right option is 4. 348.5 ft.
What is distance?Distance is the length between two points.
To calculate the distance of the base of the tower and the airplane, we use the formula below.
Formula:
Tan∅ = Opposite(O)/Adjacent(A)Where:
∅ = Angle of depression of the airplaneFrom the diagram,
Given:
Opposite = 120 ft∅ = 19°SUbstitute these values into equation 1 and solve for A
tan19° = 120/AA = 120/tan19°A = 348.5 ftHence, the right option is 4. 348.5 ft.
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a work system has five continuous stations that have process times of 5, 8, 4, 7, and 8 min/unit respectively. what is the process time of the system?
The process time of the system is 32 min/unit.
Some students at Cook Middle School and Elm Middle School participated in a survey. They were asked which sports drink they prefer: Gym Juice or Energy Flow. The two-way table shows the results. What is the relative frequency of all students surveyed who go to Cook Middle School and prefer Energy Flow?
The relative frequency of the given students surveyed and prefer to go to Cook Middle School and Energy Flow is equal to 0.4 or 40%.
The relative frequency of all students surveyed who go to Cook Middle School and prefer Energy Flow
= (Number of students go to Cook Middle School and prefer Energy Flow) /( total number of students surveyed)
From the given table,
The number of students who go to Cook Middle School and prefer Energy Flow is equal to 20.
The total number of students surveyed is equal to 50.
The relative frequency of all students surveyed who go to Cook Middle School and prefer Energy Flow is,
= 20/50
= 0.4
Therefore, the relative frequency of all students surveyed going to the Cook Middle School and prefer Energy Flow is equal to 0.4 or 40%.
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The above question is incomplete, the complete question is :
Some students at Cook Middle School and Elm Middle School participated in a survey. They were asked which sports drink they prefer: Gym Juice or Energy Flow. The two-way table shows the results.
Gym Juice Energy Flow Total
Cook 15 20 35
Elm 5 10 15
Total 20 30 50
What is the relative frequency of all students surveyed who go to Cook Middle School and prefer Energy Flow?
Copy
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Marven and three friends are renting a car for a trip. Rental prices are
shown in the table.
Item
PART B
Small car rental fee
-seats 4 passengers
Full-size car rental fee
-seats 4 passengers
Insurance
Price
465=25x
$39/day
$49/day
$21/day
25
(X=18.6
-198
018.6
1465
LIS
If they still use the coupon, how many days could they rent the small car
with insurance if they have $465 to spend?
Since they can't rent for a fraction of a day, the maximum number of days they can rent the small car with insurance is 10 days.
Insurance calculation.
The total cost of renting a small car with insurance is:
$465 = $25x + $21x
Simplifying and solving for x, we get:
$465 = $46x
x = 10.11
Since they can't rent for a fraction of a day, the maximum number of days they can rent the small car with insurance is 10 days.
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compute the residuals. (round your answers to two decimal places.) xi yi residuals 6 6 11 7 15 12 18 20 20 30 (c) develop a plot of the residuals against the independent variable x. do the assumptions about the error terms seem to be satisfied?
The estimated regression equation for the given data is y = -30.7 + 3.409x
To develop an estimated regression equation for the given data, we need to use the method of least squares.
The formula for the slope of the regression line is given by:
b = ∑(xi - x)(yi - y) / ∑(xi - x)²
where xi and yi are the individual values of the two variables, x and y are their respective means.
The formula for the intercept of the regression line is given by:
a = y - b × x
where a is the intercept and b is the slope.
Using the given data, we can calculate the values of x, y, b, and a as follows
x = (6 + 11 + 15 + 18 + 20) / 5 = 14
y = (7 + 9 + 12 + 21 + 30) / 5 = 15.8
∑(xi - x)(yi - y) = (6 - 14)(7 - 15.8) + (11 - 14)(9 - 15.8) + (15 - 14)(12 - 15.8) + (18 - 14)(21 - 15.8) + (20 - 14)(30 - 15.8) = 306.8
∑(xi - x)² = (6 - 14)² + (11 - 14)² + (15 - 14)² + (18 - 14)² + (20 - 14)² = 90
b = ∑(xi - x)(yi - y) / ∑(xi - x)² = 306.8 / 90 = 3.409
a = y - b × x = 15.8 - 3.409 × 14 = -30.7
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The given question is incomplete, the complete question is:
Given are data for two variables, x and y. Develop an estimated regression equation for these data.
WILL MARK AS BRAINLEIST!!
Question in picture!!
Note: The graph above represents both functions “f” and “g” but is intentionally left unlabeled
Answer:
f(x) is the blue graph, g(x) is the red graph.
x^2 - 3x + 17 - (2x^2 - 3x + 1) = 16 - x^2
16 - x^2 = 0 when x = -4, 4
So the area between these two graphs is (using the TI-83 graphing calculator):
fnInt (16 - x^2, x, -4, 4) = 85 1/3
I’ve been trying to solve this for a long time now and I just keep getting it wrong, if anyone could assists me that would be appreciated! :)
The distance between the two points can be found to be, and the number that goes beneath the radical symbol is 80.
How to find the distance ?To find the distance between two points in a plane, you can use the distance formula derived from the Pythagorean theorem. The distance formula is:
d = √[(x₂ - x₁)² + (y₂ - y₁)²]
where (x₁, y₁) and (x₂, y₂) are the coordinates of the two points.
In this case, the coordinates of the two points are (-4, 1) and (4, 5). So, x₁ = -4, y₁ = 1, x₂ = 4, and y₂ = 5.
Now, apply the distance formula:
d = √[(4 - (-4))² + (5 - 1)²]
d = √[(8)² + (4)²]
d = √(64 + 16)
d = √80
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Select the correct answer. Given that a function, g, has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45 and that g(0) = -2 and g(-9) = 6, select the statement that could be true for g. A. g(-13) = 20 B. g(7) = -1 C. g(0) = 2 D. g(-4) = -11
Therefore, the correct answer is A. We cannot determine whether g(-13) = 20 or not as -13 is outside the domain of g, but it is a possibility within the Domain range of g.
How are the domain and range determined?Determine the values of the independent variable x for which the function is specified in order to find the domain and range of the equation y = f(x). Simply write the equation as x = g(y), and then determine the domain of g(y) to determine the function's range.
Since g has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45, we can eliminate options B and D as they fall outside the range of g.
Since -13 is outside of the range of g, we are unable to verify whether g(-13) = 20 for option A.
For option C, we are given that g(0) = -2, so option C cannot be true.
Therefore, the correct answer is A. We cannot determine whether g(-13) = 20 or not as -13 is outside the domain of g, but it is a possibility within the range of g.
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how to solve this equetion. a scientist used 786 millileters
The scientist used 0.786 liters of the liquid for the experiment.
Unit conversion:Unit conversion is the process of converting a quantity expressed in one unit of measurement to an equivalent quantity expressed in a different unit of measurement.
To convert between different units of measurement, we need to use conversion factors, which relate to the two units.
In this case, the conversion factor is 1 liter = 1000 milliliters, which allows us to convert from milliliters to liters by dividing by 1000.
Here we have
A scientist used 786 millimeters
To convert milliliters to liters, we need to divide by 1000 since there are 1000 milliliters in one liter.
So, to convert 786 milliliters to liters, we divide by 1000:
786 milliliters ÷ 1000 = 0.786 liters
Therefore,
The scientist used 0.786 liters of the liquid for the experiment.
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Complete Question:
A scientist used 786 milliliters of a liquid for an experiment. How many liters of the liquid did the scientist use for this experiment?
1. 12s + 4t
2. 46rs + 10x
3. 12q + 14x
4. 10x + 10y
5. 17rs + 32x
6. 5x + 7y - 12z
7. 36ab + 70m
8. 3r + 19a + 10m
9. 7k + 16m
10. 8r + 5s
11. 9h + 120m
12. 12k + m
13. 7g + 15h + w
14. 4c - 8d + 12f
15. 6t + 17r - 35j
Here are the given expressions and their respective variables and coefficients:
The Variables and Coefficients12s + 4t | Variables: s, t | Coefficients: 12, 4
46rs + 10x | Variables: r, s, x | Coefficients: 46, 10
12q + 14x | Variables: q, x | Coefficients: 12, 14
10x + 10y | Variables: x, y | Coefficients: 10, 10
17rs + 32x | Variables: r, s, x | Coefficients: 17, 32
5x + 7y - 12z | Variables: x, y, z | Coefficients: 5, 7, -12
36ab + 70m | Variables: a, b, m | Coefficients: 36, 70
3r + 19a + 10m | Variables: r, a, m | Coefficients: 3, 19, 10
7k + 16m | Variables: k, m | Coefficients: 7, 16
8r + 5s | Variables: r, s | Coefficients: 8, 5
9h + 120m | Variables: h, m | Coefficients: 9, 120
12k + m | Variables: k, m | Coefficients: 12, 1
7g + 15h + w | Variables: g, h, w | Coefficients: 7, 15, 1
4c - 8d + 12f | Variables: c, d, f | Coefficients: 4, -8, 12
6t + 17r - 35j | Variables: t, r, j | Coefficients: 6, 17, -35
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true or false? the rule of thumb for estimating the time of completion is 1.5 times what you originally think it will be.
Given statement: The rule of thumb for estimating the time of completion is 1.5 times what you originally think it will be.
Given statement is True.
The reason for this rule of thumb is that tasks often take longer than initially estimated due to unforeseen challenges, dependencies, and other factors that can cause delays.
By estimating the time of completion as 1.5 times the original estimate, you are accounting for these potential delays and allowing for a more realistic timeline.
This rule of thumb is not a hard and fast rule, and there will be cases where tasks take less or more time than 1.5 times the original estimate. However, it can be a helpful guideline for project planning and resource allocation, as it helps to ensure that sufficient time and resources are allocated to complete tasks within a realistic timeframe.
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Can someone help me asap? It’s due tomorrow. I will give brainiest if it’s correct.
A. 23
B. 61
C. 37
D. 14
Answer: the answer is A. 14.
Step-by-step explanation: In each trial of the reenactment, Scott chooses one card from the stack and records its digit. Based on the given data, a digit of or 1 speaks to a objective scored, and a digit of 2 through 9 speaks to a missed endeavor.
Out of the 5 endeavors per amusement, on the off chance that Scott scores precisely 2 objectives, it implies he missed 3 endeavors. Subsequently, the likelihood of this occasion can be calculated as:
P(exactly 2 objectives) = (0.2)²(0.8)³ = 0.008192
This likelihood can be utilized to discover the anticipated number of diversions in which Scott scores precisely 2 objectives, by duplicating it by the overall number of diversions reenacted:
Anticipated number of recreations = P(exactly 2 objectives) × Add up to number of recreations = 0.008192 × 84 ≈ 0.68
Adjusting to the closest entire number, we get that Scott is anticipated to score precisely 2 objectives in 1 diversion out of the 84 recreated diversions.
Which ratio is proportional to 80:60?
16:15
16:12
18:15
18:12
Pls answer quickly
Answer:
To determine which ratio is proportional to 80:60, we need to simplify the ratio by dividing both terms by their greatest common factor. In this case, the greatest common factor of 80 and 60 is 20, so:
80/20 = 4
60/20 = 3
Therefore, the simplified ratio is 4:3.
Now we can compare this ratio to the given options to see which one is proportional to 4:3:
16:15 is not proportional
16:12 is proportional (since 16/4 = 4 and 12/3 = 4)
18:15 is not proportional
18:12 is proportional (since 18/3 = 6 and 12/2 = 6)
Therefore, the ratio that is proportional to 80:60 is 16:12.
A company is designing a new cylindrical water bottle. The volume of the bottle will be 150 cm^3. The height of the water bottle is 8.9 cm. What is the radius of the water bottle? Use 3.14 for π.
The radius of the water bottle which is in cylindrical shape is approximately 2.12 cm.
What is the cylindrical shape?A cylinder is a three-dimensional shape that consists of two congruent, parallel circular bases that are connected by a curved lateral surface. The lateral surface of the cylinder is formed by a rectangle that is wrapped around the circular bases.
A cylinder can be thought of as a circular prism, where the bases are circles and the lateral surface is curved. The height of a cylinder is the perpendicular distance between the two bases, and the radius is the distance from the center of the base to the edge of the circular base.
According to the given informationThe formula for the volume of a cylinder is V = πr^2h, where V is the volume, r is the radius, and h is the height. We can rearrange this formula to solve for the radius:
r = √(V/πh)
Substituting the given values, we have:
r = √(150/π(8.9))
r ≈ 2.12 cm (rounded to two decimal places)
Therefore, the radius of the water bottle is approximately 2.12 cm.
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in a standard additions method workup what information from the linear regression is most closely related to the unknown concentration? (used to determine it)
In a standard additions method workup the information from the linear regression that is most closely related to the unknown concentration is this: the intercept of the linear regression line.
What information is closest to the unknown concentration?In the standard additions method workup, the information that is most closely related to the unknown concentration is the intercept of the linear regression line.
The reason why this is the case is that the intercept represents the y-value of the regression line where the line crosses the y-axis. This y-axis is the value of the dependent variable when the independent variable or concentration is zero. So, by solving for the intercept, we can determine the concentration of the unknown sample.
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at a booth at the school carnival in past years, they've found that 22% of students win a stuffed toy ($3.60), 16% of students win a jump rope ($1.20), and 6% of students win a t-shirt ($7.90). the remaining students do not win a prize. if 150 students play the game at the booth, how much money should the carnival committee expect to pay for prizes for that booth?: *
For a percentage data of students who play the different game and win the prize, the expected amount to pay for prizes for that booth by the carnival committee is equals to the $218.70.
We have a booth of school carnival in past years, The percentage of students win a stuffed toy = 22%
The percentage of students win a jump rope = 16%
The percentage of students win a t-shirt
= 6%
The winning amount for stuffed toy game = $ 3.60
The winning amount for jump rope game = $1.20
The winning amount for t-shirt game
= $7.90
The remaining students do not win a prize. Now, total number of students play the game at the booth = 150
So, number of students who win stuffed toy = 22% of 150 = 33
Number of students who win jump rope = 16% of 150 = 24
Number of students who win stuffed toy
= 6% of 150 = 9
For determining the expected pay using the simple multiplication formula. Total expected pay for prizes for that booth is equals to the sum of resultant of multiplcation of number of students who play a particular game into pay amount for that game. That is total excepted pay in dollars = 3.60 × 33 + 1.20 × 24 +7.90 × 6
= 218.7
Hence required value is $218.70.
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a line segment is plotted in the coordinate plane. It has endpoints of (-3, -3) and (5, -3). The line segment is one side of a square. What is the area of the square?
The Area of square is 64 square unit.
We have the coordinates (-3, -3) and (5, -3).
Using distance formula
d = √ (5 + 3)² + (-3 + 3)²
d= √8² + 0
d= 8 units
So, the Area of square
= d x d
= 8 x 8
= 64 square unit
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Instructions: Write the equation of the line in Slope-Intercept Form given the information below.
Thanks
Answer:
y=4x+5
Step-by-step explanation:
y=mx+b
m=4
b=5
There are only Ured counters and g green counters in a bag. A counter is taken at random from the bag. The probability that the counter is green is 3
7
The counter is put back in the bag. 2 more red counters and 3 more green counters are put in the bag. A counter is taken at random from the bag. The probability that the counter is green is 6
13
Find the number of red counters and the number of green counters that were in the bag originally
Number of red counters in the original bag is 3, and the number of green counters is 7.
Let's use algebra to solve the problem. Let U be the number of red counters and G be the number of green counters originally in the bag.
From the first part of the problem, we know that
Probability (selecting a green counter) = G / (U + G) = 3/7
Solving for U in terms of G, we get
U = (7G - 3G) / 3 = 4G/3
So we know that there were 4G/3 red counters and G green counters in the bag originally. But since the number of counters must be a whole number, we can assume that there were 4R red counters and 3G green counters originally, where R and G are both integers and R + G is the total number of counters.
After adding 2 red and 3 green counters, the number of counters in the bag is now R + 2 + G + 3 = R + G + 5.
From the second part of the problem, we know that
P(selecting a green counter) = (G + 3) / (R + G + 5) = 6/13
Solving for R in terms of G, we get
R = (13G - 9G - 15) / 7 = 4G/7 - 15/7
Since R must be an integer, we can try different values of G to see if R is an integer. For example, if G = 7, then R = 3 and the total number of counters is 10.
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The given question is incomplete, the complete question is:
There are only U red counters and G green counters in a bag. A counter is taken at random from the bag. The probability that the counter is green is 3/7. The counter is put back in the bag. 2 more red counters and 3 more green counters are put in the bag. A counter is taken at random from the bag. The probability that the counter is green is 6/13. Find the number of red counters and the number of green counters that were in the bag originally
Special Right Triangles (Radical Answers)
The triangle below is equilateral. Find the length of side x in simplest radical form with a rational denominator.
The triangle is given as equilateral and the length of the perpendicular of the given equilateral triangle is 13.85.
What is Pythagorean theorem?It states that the sum of the squares of the two shorter sides of a right triangle is equal to the square of the hypotenuse, the longest side of the triangle. This theorem can be used to determine the length of the sides of a right triangle if two sides are known.
The triangle is given as equilateral. As we know he perpendicular in a equilateral triangle divides a line into to equal parts, so
Base= 8+8
= 16
As it is a equilateral triangle, all the sides will be equal.
Now, we can use the Pythagorean theorem to find the length of the perpendicular, which can be found by using the formula:
16²= 8² + x²
x² = 16²- 8²
x = √192
x = 13.85
Thus, the length of the perpendicular of the given equilateral triangle is 13.85.
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