3.27 Underage drinking, Part II: We learned In Exercise 3.25 that about 69.7% of 18-20 year olds consumed alcoholic beverages in 2008. We now consider a random sample of fifty 18-20 year olds. (a) How many people in the sample would you expect to have consumed alcoholic beverages? (round to one decimal place) (b) Would you be surprised if the sample contained 45 or more people who have consumed alcoholic beverages? - No, it is just as likely as any other outcome - No, 45 or more accounts for six different events -- this wouldn't be surprising - Yes, 45 is more than two standard deviations above the expected value (mean) - Yes, 45 out of 50 is 90% (c) What is the probability that 45 or more people in this sample have consumed alcoholic beverages? Cound to forracina
Answers
The very low likelihood that there will be 45 or more people in the sample who have consumed alcoholic beverages.
a) The number of people in the sample expected to have consumed alcoholic beverages can be calculated as follows:First, we multiply the number of individuals in the sample by the proportion of people in that age group who drink alcohol.50 x 0.697 = 34.85Thus, we anticipate that about 34.85 people in the sample will have consumed alcoholic beverages.b) No, 45 or more accounts for six different events -- this wouldn't be surprising, you would not be surprised if the sample contained 45 or more people who have consumed alcoholic beverages. This is because it falls within the margin of error.c) To calculate the probability that 45 or more people in this sample have consumed alcoholic beverages, we will need to compute the z-score first.We use the following formula to calculate the z-score:$$z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}$$Where, x = 45μ = 0.697 x 50 = 34.85σ = √[(50 x 0.697 x 0.303)] = 3.77n = 50After plugging the values into the formula, we have:$$z=\frac{45-34.85}{\frac{3.77}{\sqrt{50}}}$$ = 3.89Since we are trying to determine the probability of having 45 or more people who have consumed alcoholic beverages, we will calculate the probability of having a z-score greater than or equal to 3.89.Instead of looking up the z-score in the z-table, we can use a calculator to determine the probability. From a standard normal distribution, the calculator provides the following output:P(Z ≥ 3.89) = 0.0000317Rounded to four decimal places, the probability is approximately 0.0000. Therefore, there is a very low likelihood that there will be 45 or more people in the sample who have consumed alcoholic beverages.
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Related Questions
There are two ways to compare ME alternatives for equal life service: - Least common multiple (LCM) of lives - Specified study period Comparing two different-life alternatives using any of the methods results: a. none of the answers b. the same alternative is selected. c. each method may result in selecting a different alternative.
Answers
The correct option is C. Each method may result in selecting a different alternative. Two ways to compare mutually exclusive alternatives for equal life service are the LCM of lives method and the specified study period method, with each method potentially leading to the selection of a different alternative.
Each method may result in selecting a different alternative. There are two ways to compare ME alternatives for equal life service, they include:
Least common multiple (LCM) of lives
Specified study period
Comparing two different-life alternatives using any of the methods results in selecting a different alternative.
When using the least common multiple (LCM) method to compare alternatives with different lives for equal life service, the following steps are taken:
Identify the lives of the alternatives.
Determine the least common multiple (LCM) of the lives by multiplying the highest life by the lowest life’s common factors.
Choose the service life of the alternatives to be the LCM.
Express the PW of each alternative as an equal series of PWs having a number of terms equal to the LCM divided by the life of the alternative.
Compute the PW of each alternative using the computed series and the minimum acceptable rate.
When using the specified study period method to compare alternatives with different lives for equal life service, the following steps are taken:
Identify the lives of the alternatives.
Determine the common study period that represents the period during which service is required.
Express the PW of each alternative as an equal series of PWs having a number of terms equal to the common study period.
Compute the PW of each alternative using the computed series and the minimum acceptable rate.
Thus, the correct option is : (c).
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Help someoneeeeeeeeeee
Answers
Answer:
Step-by-step explanation:
17²-8²=9²
9²=18
√18=9
_________
\( \: \)
b² = c² - a²
b² = 17² - 8²
b² = 289 - 64
b² = 225
b = √225
b = 15
if you multiply amp × ohm, the answers will be in units of
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Multiplying ampere (amp) by ohm gives units of volt (V).
Therefore, the answer will be in volts (V). This is because ohm is the unit of electrical resistance, ampere is the unit of electrical current, and volt is the unit of electrical potential difference, which is calculated as the product of current and resistance according to Ohm's law: V = I × R.
Ohm is the unit of electrical resistance, which measures how much a material opposes the flow of electric current. One ohm (1 Ω) of resistance is defined as the amount of resistance that allows one ampere (1 A) of current to flow when a potential difference of one volt (1 V) is applied across it.
Ampere is the unit of electrical current, which measures the rate at which electric charge flows through a material. One ampere (1 A) of current is defined as the flow of one coulomb of electric charge per second.
Volt is the unit of electrical potential difference, which measures the amount of energy required to move a unit of electric charge from one point to another. One volt (1 V) of potential difference is defined as the amount of energy required to move one coulomb of electric charge across a circuit element that has one ohm of resistance.
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Can you help me find the answer
Answers
Answer:
quadrilateral
and
pentagon
Answer:
1. Trapezium
2.Pentagon
(Irregular)
A leopard is running with a velocity of 3 m/s. it then accelerates at 2 m/s² for 4 seconds.
use the formula:
v = u + at
to work out the final velocity of the leopard.
please can people reply and help me thank you
Answers
Using the formula:
v = u + at
Here s is distance, u is initial velocity, v is final velocity, a is acceleration and t is time.
In this case, u = 3m/s, a = 2m/s^2, t = 4s and we want to find final velocity, v, s, v = u + at
v = 3 + 2(4) = 11m/s
Hope this helps!
I’m soooo grateful for you guys that’s helping me!!!
Answers
Answer:
52
Step-by-step explanation:
Tamara broke her arm and the medical bills are $2000. Her parents are offering to pay her medical bills
at an annual simple interest rate of 5%. How much will Tamara pay in interest at the end of the year?
1. $1000
2. $10
3. $110
4. $100
Answers
The store sells a television for $1000. customers can choose to receive 10% discount and pay it off at a simple interest rate of 4% or they can choose to pay the full price and pay it off in 3 years with no interest. which option is better
Answers
Option 1 with the discount and 4% simple interest has a total cost of $972, while Option 2 with no discount and no interest has a total cost of $1000. Option 1 is the better choice as it has a lower total cost.
What is simple interest?Simple interest is a type of interest that is calculated on the original principal amount of a loan or investment. It is a fixed percentage of the principal amount that is paid by the borrower or earned by the lender over a specific period of time.
According to question:To compare the two options, we need to calculate the total cost of each option and compare them.
Option 1: 10% discount and pay off with 4% simple interest
The discount reduces the price of the television to $1000 x 0.9 = $900. If the customer chooses to pay it off at 4% simple interest, the total cost would be:
Total cost = $900 + ($900 x 0.04 x 3) = $972
Option 2: Full price and pay off in 3 years with no interest
The total cost of this option would be simply the full price of $1000 paid over 3 years, so:
Total cost = $1000 / 3 = $333.33 per year x 3 years = $1000
Comparing the two options, we see that Option 1 with the discount and 4% simple interest has a total cost of $972, while Option 2 with no discount and no interest has a total cost of $1000. Therefore, Option 1 is the better choice as it has a lower total cost.
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The complete question is: The store sells a television for $1000. customers can choose to receive 10% discount and pay it off at a simple interest rate of 4% or they can choose to pay the full price and pay it off in 3 years with no interest. which option is better?
Option 1 with the discount and 4% simple interest.
Option 2 with no discount and no interest.
The goalie made 30 saves in 6 games. If the pattern continued, how many saves would the goalie make in 12 games?
Answers
Answer:
60 saves
Step-by-step explanation:
You can make a ratio for this:
30:6 = 5:1
For each game, the goalie makes 5 saves
?:12
Multiply 12 by 5 to get your answer
60:12
Answer: 60
Step-by-step explanation:
because 30*2=60 and 6*2=12
One-third of the students in Mrs. Hayko's class walk to school. Of the students who do not walk to school, four-fifths take the bus.
a.) What fraction of the students in Mrs. Hayko's class take the bus to school?
b.) How many students might be there in her class?
Answers
Answer:
The possible number of students in Mrs. Hayko's class is limited to 15 or 30, as higher multiples of 15 would exceed the desired class size.
Step-by-step explanation:
a)
Let 'x' be the total number of students in Mrs. Hayko's class.
One-third of the students walk to school: (1/3)x.
The remaining students who do not walk to school: (2/3)x.
Four-fifths of the non-walking students take the bus: (4/5) * (2/3)x.
Simplify to find the fraction of students taking the bus: (8/15)x.
b)
Consider different values for 'x' to find a whole number of students taking the bus.
Start with a small number, such as x = 15.
Calculate the number of students taking the bus using (8/15)x.
If the result is a whole number, it's a possible class size.
Repeat with different values of 'x' until a whole number is obtained.
The possible number of students in Mrs. Hayko's class could be 15, 30, or any other multiple of 15.
find the radian measure of an angle at the center of a circle with radius 77.0 cm that intercepts an arc length of 128 cm
Answers
The radian measure of the angle at the center of the circle is approximately 1.6623 radians.
We are given that the radius of the circle is 77.0 cm and the length of the intercepted arc is 128 cm. We need to find the radian measure of the angle at the center of the circle.
To solve this problem, we use the formula relating the angle at the center of a circle, the radius of the circle, and the arc length intercepted by the angle.
The formula is given byθ = s/rwhereθ = angle at the center of the circle in radians s = arc length intercepted by the angle r = radius of the circle Substituting the given values, we getθ = 128/77.0 = 1.6623 radians (rounded to four decimal places)
Therefore, the radian measure of the angle at the center of the circle is approximately 1.6623 radians.
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100 points to whoever can answer this!
Answers
Answer:
10724.29
Step-by-step explanation:
mean means average
so to find an average you add everything together then divide it by the amount of variables
m = (10150 + 10211 + 10424 + 10769 + 10884 + 11155 + 11477)/7
m = 75070/7
m = 10724.2857143
m = 10724.29
nationally, the proportion of red cars on the road is 0.12. a statistically-minded fan of the philadelphia phillies wonders if phillies fans are more likely to drive red cars. one day during a home game, he takes an srs of 210 and counts 35 red cars. what is the test statistic?
Answers
The test statistic for this scenario is 1.14. To calculate the test statistic, we can use the formula:
(test statistic) = (sample proportion - hypothesized proportion) / standard error
Here, the hypothesized proportion is the national proportion of red cars on the road, which is 0.12. The sample proportion is the proportion of red cars in the sample, which is 35/210 = 0.167.
To calculate the standard error, we use the formula:
\(standard error=\sqrt{\frac{(hypothesized proportion * (1 - hypothesized proportion)) }{ sample size} }\)
Plugging in the values, we get:
standard error = √[(0.12 * (1 - 0.12)) / 210] = 0.032
Now, we can calculate the test statistic:
test statistic = (0.167 - 0.12) / 0.032 = 1.14
The test statistic tells us how many standard errors the sample proportion is away from the hypothesized proportion. In this case, the test statistic is 1.14, which means that the sample proportion of Phillies fans driving red cars is 1.14 standard errors away from the national proportion of red cars on the road. We would need to compare this test statistic to a critical value from a t-distribution to determine if the difference is statistically significant at a given level of significance.
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Q1- Write 46 821 correct to the nearest 100
Answers
Answer:
46800
Step-by-step explanation:
46821 nearest 100s
look for the tens it is less than 5 so its 800 and the numbers written before the 100s would remain the same
If 3x² + 5x = 2, what is one possible value for x?
A 1/5
B 1/3
C 1/2
D 1
E 3
Answers
Answer: B
Step-by-step explanation:
help me plzz plzzz plese2
Answers
Answer:
122m^2
Step-by-step explanation:
Awnser is in picture along with steps
Which of the equations below could be the equation of this parabola? (0, 0) A. x= - 1 / 4y² B. x=-1/4x2 C. x=1/4y2 D. x=1/4x2
Answers
Answer:
Step-by-step explanation:
A. X=1/4y2
Where is the incenter of a triangle always located.
Answers
Answer:
In the centre of a triangle
Step-by-step explanation:
Select the correct answer.
An image of two lines m and n parallel to each other. Lines p and q are parallel to each other. Line p and n for a hundred degrees angle. The angle formed by lines q and m is marked x.In the figure, lines m and n are parallel to each other. Lines p and q are also parallel to each other. What is the value of x?
A.
40°
B.
80°
C.
100°
D.
180°
Answers
if Lines p and q are also parallel to each other then value of x is 100, option C is correct.
What are Parallel lines?Parallel lines are coplanar infinite straight lines that do not intersect at any point.
The known angle is supplementary with angle A (Look at the attachment), that means that the sum of the known angle and A is 180°, therefore the value of angle A is 80°
Angle A and B are corresponding angles, which means that they have the same value, that happens because p and q are parallels and both cut line n in the same way. the value of the angles B is 80°
Angles B and C are corresponding too, so the value of the angle C is 80°.
Angles C and X are supplementary too for which the sum of X and C is 180°, so the value of X is 100°
Hence, if Lines p and q are also parallel to each other then value of x is 100, option C is correct.
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Find the average rate of change of h (x) = -2x²-3x from x=2 to x = 4. Simplify your answer as much as possible.
Answers
h(2) = -2(2)² - 3(2) = -8 - 6 = -14
h(4) = -2(4)² - 3(4) = -32 - 12 = -44
So the average rate of change is (-44 - (-14)) / (4 - 2) = -30/2 = -15.
The equations represent the elevations, y, of two hikers, in meters, after x hour. Wich ordered pair, (0, 0), (1, 7) or (2, 10), is a solution to the system? will the hikers ever be the same elevation? explain. Y = 6x + 1
y = 3x + 4
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yes. the hikers will ever be the same elevation.6+1=7 the same elevation.
Y = 6x + 1
FIll the value of y in this equation
3x + 4= 6x + 1
3x=4-1
x=3/3=1
Y = 6x + 1
FIll the value of x in this equation
6+1=7. The height above or below a specified reference point, most frequently a reference geoid, which is a mathematical representation of the Earth's sea level as an equipotential gravitational surface, determines a location's elevation. In most cases, elevation is used to describe locations on the surface of the Earth, whereas altitude or geopotential height is used to describe locations above the surface, such as those of flying airplanes or orbiting satellites, and depth is used to describe locations below the surface. Elevation should not be confused with the angular separation from the Earth's center. The summits of Mount Everest and Chimborazo have the highest elevation and greatest geocentric distance, respectively, because of the equatorial bulge.
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Ms. Johnson is drawing a floor plan of her square room that has an area of 100 ft2. She is using the scale of 0.5 inch =2 ft. What is the length of her room on the floor plan?
Answers
Answer:
it's 2.5 inches cool profile pic to
Step-by-step explanation:
Please help me with 1 to 10 and show me for all how you get it
Answers
Answer:
E
Step-by-step explanation:
E
Elsa pumped 18 gallons of water out of her pool. This was done over a period of 3 minutes at a constant rate. What was the change in the amount of water in the pool each minute?
Answers
Answer: -6
Step-by-step explanation:
From the question, Elsa pumped 18 gallons of water out of her pool and this was done over a period of 3 minutes at a constant rate. Since it is done at a content rate, to get the change in the amount of water in the pool each minute, we divide 18 gallons by 3. This can be written mathematically as:
= 18 gallons ÷ 3
= 6 gallons
Change = -6
The change in the amount of water in the pool each minute will be -6gallons
(4x+6)°
44°
PLEASE HELP
Answers
Hope this helps
Find the slope of the line that passes through the point (1,3) and (4,7)
Answers
Answer:
4/3
Step-by-step explanation:
To find the slope from two points, we need to label these coordinates.
(1, 3) will be coordinates 1, and (4, 7) will be coordinates 2.
(Basically 1 = x1, 3 = y1, 4 = x2, 7 = y2)
To find slope, we need to solve this equation:
\(\frac{y_2-y_1}{x_2-x_1}\)
Plug the numbers into the equation.
\(\frac{7-3}{4-1}\)
Solve. 4/3
Slope = 4/3
Solve the system of equations by using substitution.
n = 3m - 11
2m + 3n = 0
( ? , ? )
Answers
Answer:
Step-by-step explanation:
2m + 3(3m - 11) = 0
2m + 9m - 11 = 0
11m = 11
m = 1
n = 3(1) - 11
n = 3 - 11
n = -8
(1, -8)
describe the space (s) where 3 sitcases are inspected for contraband the suitcases will be returned of confiscated
Answers
The space where three suitcases are inspected for contraband should be well-equipped to enable the proper screening of suitcases to detect any contraband or illegal items.
How to describe the spacesTo describe the space (s) where three suitcases are inspected for contraband, the space will have to be equipped with facilities that will enable thorough inspection of the suitcases.
This is to say that the space(s) must be equipped with screening tools, machines and other devices that will ensure proper screening of the suitcases is done to ascertain whether or not they contain contraband or other illegal items.If the suitcases are inspected and found not to contain any contraband or illegal items, then the suitcases will be returned to their owners.
On the other hand, if the suitcases are found to contain contraband or other illegal items, then they will be confiscated, and the owner may be arrested, depending on the situation.
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What are some vocabulary words for slopes and equations in math?
Answers
Answer:
Vocabulary: slope and variable m rise over run slope formula y-intercept/variable b parallel lines and parallel equation perpendicular lines and perpendicular equatio Introduce or review key terms related to slope and angle: slope, grade, pitch, cardinal direction, slope angle, angle of depression/declination, and angle of elevation/inclination.
find the distance between X and Y
X(-4,7) Y(8,-12)
Answers
Answer:
22.472
Step-by-step explanation:
Answer:
i think 10.90
Step-by-step explanation: