Answer:
8%
Step-by-step explanation:
Hello,
8% of the students take neither History or French
so we have 8*200/100=8*2=16 students out of French and History
let s say that
a is the number of students taking only History
b is the number of students taking both History and French
c is the number of students taking only French
10% of those who take History also take French
so 0.10(a+b)=b <=> 0.10a+0.10b=b
<=> 0.10a+0.10b-0.10b=b-0.10b=0.9b
<=> 0.10a=0.90b
let's multiply by 10 it comes a = 9b
4 times as many students take History as take French
so a + b = 4 (b + c)
it comes 9b + b = 10b = 4b + 4c
<=> 10b-4b=4b+4c-4b=4c
<=> 6b=4c
<=> 3b=2c
<=> c = 3b/2
and we know that a + b + c = 200 - 16 = 184
so
9b + b + 3b/2 = 184 we can multiply by 2 it comes
20 b + 3b = 184*2
23b = 184*2 = 23 * 8 *2 = 23*16
b = 23*16/23 = 16
so b = 16
c = 3*16/2 = 24
c = 24
a = 9b = 144
a = 144
you can see the Venn diagram below
and then the probability that a student picked at random does History and French is 16/200 = 8%
so the answer is 8%
hope this helps
If an additional worker can produce an additional 20 units of output which can be sold for $4 per unit, what is the maximum wage that this perfectly competitive firm should pay to hire this worker?.
The maximum wage that this perfectly competitive firm should pay to hire this worker = $80
The options for this question
A) $80 minus the firm's profit markup
B) It depends on what the going wage rate is in the labor market.
C) $80
D) There is insufficient information to answer the question.
now, we need to find the maximum wage that this perfectly competitive firm should pay to hire this worker
given that
the additional worker can produce an additional 20 units of output and that can be sold for$4 per unit
maximum wage = additional units × sold per unit
= 20 × 4 = 80
the maximum wage = $80
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2: Strategically decompose 1.57 to round to the nearest whole and nearest tenth.
A new car is purchased for 17600 dollars. The value of the car depreciates at 11.75% per year. What will the value of the car be, to the nearest cent, after 11 years?
Answer:
The answer would be 4,450
Step-by-step explanation:
:)
Please help you get 14 points
Answer:
false
Step-by-step explanation:
because 17.5×4 doesnt equal 20
find the area of the regular 15-gon with radius 12 mm
Answer:
439.27, but if it’s round to the nearest tenth it’s 439.3
Step-by-step explanation:
Hey guys. Need help here
When your measurement error is between 4.5 and 5%, the number of cases are [____]. Select the correct answer below.
400
450
500
When your measurement error is between 4.5% and 5%, the number of cases is 450.
The margin of error (MOE) is a measure of the uncertainty or statistical error in a survey's findings. When it comes to determining the survey's accuracy, the MOE is the most important consideration. When determining the sample size required to generate the lowest MOE possible, the survey creator's decision comes into play.
Let us assume that a 95 percent confidence level is used in a survey of a population. The MOE will be larger if a more rigorous confidence level is employed.
Margin of Error = (Critical Value) x (Standard Deviation) / square root of (Sample Size)
If the population size is less than 100,000, the MOE equation is usually used.
The most commonly used equation is n = (Z2 * P * Q) / E2 if the population size is greater than 100,000.
Hence, when the measurement error is between 4.5 and 5%, the number of cases is 450.
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Max is mountain hiking at a constant rate. This equation y = 10x 30 can be used to represent this situation, where y is Max's elevation in meters and x is the number of hours Max has been hiking. Which statement best describes Max's elevation, given this equation?.
Answer:
D.) Max started at a height of 30 meters and is ascending at 10 meters per hour.
Step-by-step explanation:
This equation y = 10x + 30 can be used to represent this situation, where y is Max's elevation in meters and x is the number of hours Max has been hiking
Max started at the height of 30 meters and is ascending at a rate of 10 meters per hour. Then the correct option is A.
What is the linear system?It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.
Given
The equation is y = 10x + 30.
Where y is Max's elevation in meters and x is the number of hours.
Max has been hiking.
From the equation, we can conclude.
Max is ascending at a rate of 10 meters per hour.
Max is at the height of 30 meters at the starting.
Thus, option A is correct.
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Here is the setup for a non-traditional casino game: You draw a card from a well shuffled full deck and if the card is a king you win $100. The game costs $2 to play and you decide to play the game until you win the $100. Each time you draw a card you pay $2, and if the card is not a king, the card is put back in the deck, and the deck is reshuffled. How much money should you expect to spend on this game?
The answer is $26 - I just don't know how this amount is derived. Please be specific with which statistical technique is used to determine this.
You should expect to spend $26 to win $100 playing this casino game.
This is a classic example of a geometric distribution, where each trial has two possible outcomes (win or lose) and the probability of winning remains constant at 1/13 (4 kings in a deck of 52 cards) across all trials.
The expected number of trials to win is 13, so the expected cost to win is 13 times the cost per trial, which is $2, giving an expected cost of $26. Note that this is the expected cost, not the guaranteed cost, and it is possible to spend more or less than $26 before winning.
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The function f(x) = 4x + 10 models the amount of money francis makes when babysitting for x hours. How much money will he make for 2 hours of babysitting work?.
The amount of money that he will make for 2 hours of baby sitting work is $18
The function is
f(x) = 4x + 10
The function f(x) is the amount of money Francis makes when babysitting for x hours
The function is the mathematical statement that shows the relationship between one variable and another variable. If one variable is dependent variable then the other variable will independent variable
The function
f(x) = 4x + 10
The number of hours x = 2 hours
Substitute the values of x in the function
f(2) = 4(2) + 10
f(2) = 8 +10
f(2) = $18
Hence, the amount of money that he will make for 2 hours of baby sitting work is $18
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What is the slope of the line?
Answer:
2/1
Step-by-step explanation:
Slope can be found by using rise/run
in other words count the number of spots rising up then move to either left or right (up and to the right in this case)
yes the slope could be -2/1 from a reflective point. Rise/Run pov or positive pov it's 2/1
Answer:
the slope is 2
Step-by-step explanation:
it crosses the point (-2, -4), which from there to the next crossing coordinate (-1, -2), it goes up +2 units on the y-axis and goes to the right on the x-axis +1 units
Match the vocabulary term to the correct definitions.
1. The _________ number in an exponential expression which tells how many times a factor is repeated exponent
2. When a__________ number increases at a constantly growing rate exponential decay
3. When a___________ number decreases at a constantly reducing rate exponential growth
superscript
Answer:
1. superscript number
2. exponential growth
3. exponential decay
Step-by-step explanation:
In an exponential expression, the exponent (superscript) number indicates how many times the factor (i.e., the base number) is repeated. For example, the expression 2ⁿ indicates that the base number (2) is repeated n times.
The exponential growth indicates how a specific quantity increases over time, thereby the curve drawing an exponential function. The exponential growth is produced when the rate of increase of a quantity in a given time is directly proportional to the quantity itself.
The exponential decay describes how a specific quantity proportionally decreases across time, thereby showing a percentage decrease rate over time.
Answer:
1. superscript number
2. exponential growth
3. exponential decay
Step-by-step explanation:
I need help! Please!!!
Answer:
with what
Step-by-step explanation:
Answer:
Yes I would be truly willing to help u so what do u need help with
Step-by-step explanation:
New York City is a popular field trip destination. THis year the senior class at High School A and the senior class at High School B both planned trips there. The senior class at High School A rented and filled 1 van and 6 buses with 324 students. High School B rented and filled 9 van and 3 busses with 264 students. How many students can a van carry? How many students can a bus carry? (please also lmk what method you used)
Answer Ask your teacher to help you.
Step-by-step explanation:
I think is better.
Sally, Sarah, Sam worked together to earn spending money Together they earned $14 50 per hour They worked for a total of 15 hours. They split the total earnings equally between them. If Sarah then went and bought a pair of shoes for $22.78 how much money did she have left?
Answer:
$49.72
Step-by-step explanation
14.50x15=217.5
217.5/3=72.5
72.5-22.78=49.72
14.50 (Cost per hour)
X 15 (Hours they work)
----------
217.5 (pay per day)
217.5 ÷ 3 (amount of people) = 72.5
Sally Sarah and Sam earn $72.5
72.5 - 22.78 (cost for shoes) = 49.72
Sarah will have 48.72 left
[PLEASE HELP!! WILL GIVE BRAINLIEST!]
Find the maximum and minimum points of the function y = 2 sin 2(x + π) + 3.
The required maximum and minimum points of the function y = 2 sin 2(x + π) + 3 is (-3π/4, 5) and (-π/4, 1). Option A is correct.
What are trigonometric equations?These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operations.
Here,
Maximum and minimum points of the function y = 2 sin 2(x + π) + 3. can be determined by drawing the graph of the function, from the graph maximum of point of the function is (-3π/4, 5) and the minimum point is (-π/4, 1).
Thus, the required maximum and minimum points of the function y = 2 sin 2(x + π) + 3 is (-3π/4, 5) and (-π/4, 1). Option A is correct.
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15x-7y=-49 standard form to slope-intercept form
Answer:
y= \frac{15}{7}x + 7
not sure if that will work so
y = 15x/7x + 7
Step-by-step explanation:
Find three solutions of the equation. y=-2x-1 a. (–2, 3), (1, –3), (2, –4) c. (1, –3), (0, –1), (–1, 0) b. (–2, 3), (1, –3), (0, –1) d. (0, –1), (3, –9), (–2, 3)
The three solutions of the equation y = -2x - 1 are (–2, 3), (1, –3), and (2, –4).
To find the solutions, we substitute different values of x into the equation and solve for y.
For the first solution, when x is –2, we have y = -2(-2) - 1 = 3. Therefore, the first solution is (-2, 3).
For the second solution, when x is 1, we have y = -2(1) - 1 = -3. Thus, the second solution is (1, -3).
For the third solution, when x is 2, we have y = -2(2) - 1 = -4. Hence, the third solution is (2, -4).
These three points satisfy the equation y = -2x - 1, and therefore, they are the solutions of the equation. They represent coordinate pairs (x, y) where the equation holds true.
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Idenify the terms and the coefficient of the expression?
1. 5x + 2v - 5
Answer:
The expression is:
5x + 2v - 5
The terms in this expression are:
5x, with a coefficient of 5
2v, with a coefficient of 2
-5, with a coefficient of -5
So the coefficients are 5, 2, and -5 respectively.
9-20. Arc length calculations Find the arc length of the following curves on the given interval.y=1/3 x^(3/2) on [0,60]
The arc length of the curve y = (1/3)x^(3/2) on the interval [0, 60] is 168 units.
To find the arc length of the curve y = (1/3)x^(3/2) on the interval [0, 60], we can use the formula for arc length:
L = ∫[a,b] √(1 + (dy/dx)^2) dx
In this case, we have y = (1/3)x^(3/2). Let's find dy/dx:
dy/dx = d/dx[(1/3)x^(3/2)]
= (1/3) * d/dx(x^(3/2))
= (1/3) * (3/2)x^(3/2-1)
= (1/2)x^(1/2)
Now, let's substitute this back into the formula for arc length:
L = ∫[0,60] √(1 + ((1/2)x^(1/2))^2) dx
= ∫[0,60] √(1 + (1/4)x) dx
To integrate this, let's make a substitution: u = 1 + (1/4)x.
Then, du = (1/4)dx, and dx = 4du.
Now the integral becomes:
L = ∫[0,60] √u * 4du
= 4∫[0,60] √u du
= 4 * (2/3) * u^(3/2) |[0,60]
= (8/3) * (u^(3/2) evaluated from 0 to 60)
= (8/3) * [(1 + (1/4)x)^(3/2)] evaluated from 0 to 60
Plugging in the limits:
L = (8/3) * [(1 + (1/4) * 60)^(3/2) - (1 + (1/4) * 0)^(3/2)]
= (8/3) * [(1 + 15)^(3/2) - (1)^(3/2)]
= (8/3) * [16^(3/2) - 1]
Calculating the final result:
L = (8/3) * [4^3 - 1]
= (8/3) * (64 - 1)
= (8/3) * 63
= 168
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What is the median of the first half of the data? (first quartile)
Answer:
$273
Step-by-step explanation:
1. Find the first half of the list (There are 8 numbers in the list, so the first four)
2. List them from least to greatest ($196, $248, $298, $379)
3. find the middle of the numbers ($248, $298)
4. Since there are 2, we find the mean of the 2 numbers ($273)
5. So the answer is $273
our basketball team has 10 players, including steve and danny. we need to divide into two teams of 5 for an intrasquad scrimmage how are your answers related
The number of ways to divide 10 players into two teams of 5 with Steve and Danny on different teams is -3668, implying that it's impossible to divide the teams as such. This result shows that the probability of both players being on the same team is one, and is related to the complement of the probability of them being on opposite teams.
We have our basketball team has 10 players, including Steve and Danny, and we need to divide them into two teams of 5 for an intrasquad scrimmage.
The number of ways of selecting r objects out of n is given by ⁿCr where,
ⁿCr = (n!) / [(n - r)! r!]
Here, the number of ways to choose 5 players out of 10 is ¹⁰C₅.
¹⁰C₅ = (10!) / [(10 - 5)! 5!]
¹⁰C₅ = (10 x 9 x 8 x 7 x 6) / (5 x 4 x 3 x 2 x 1)
¹⁰C₅ = 252
There are 252 ways to divide the 10 players into two teams of 5.
Using complementary probabilities, we can find the number of ways in which the teams can be picked such that Steve and Danny are on the same team.
For that, we need to calculate the number of ways in which Steve and Danny can be together, and then subtract this from the total number of ways.
Using the same logic, the number of ways to choose 4 more players out of 8 is ⁸C₄.
⁸C₄ = (8!) / [(8 - 4)! 4!]
⁸C₄ = (8 x 7 x 6 x 5) / (4 x 3 x 2 x 1)
⁸C₄ = 70
There are 70 ways to choose 4 players from the remaining 8 (excluding Steve and Danny).
We can consider Steve and Danny as one player, so we need to select 3 more players from the remaining 8 (excluding Steve and Danny).
The number of ways to do this is ⁸C₃.
⁸C₃ = (8!) / [(8 - 3)! 3!]
⁸C₃ = (8 x 7 x 6) / (3 x 2 x 1)
⁸C₃ = 56
There are 56 ways to select 3 players from the remaining 8 to join Steve and Danny.
Using the multiplication principle, we get the number of ways to select the entire team as 70 x 56 = 3920.
There are 3920 ways to choose the teams so that Steve and Danny are on the same team.
Now, using the complement rule, the number of ways to select the teams so that Steve and Danny are on opposite teams is given by the total number of ways minus the number of ways in which Steve and Danny are on the same team.
Using this, we can say that the number of ways to divide the 10 players into two teams of 5 such that Steve and Danny are on opposite teams is given by 252 - 3920 = -3668.
However, the answer is negative which means that there is no way to divide the teams such that Steve and Danny are on opposite teams.
Hence, the solution to the problem is related to the complement of the probability.
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Which is true about the triangles’ perimeters? 2 triangles labeled Triangle A and Triangle B. Triangle A has 3 sides, each labeled 9 kilometers. Triangle B's base is labeled 15 kilometers. Its other 2 sides are each labeled 8 kilometers.
Step-by-step explanation:
lex x be the common ratio/ scale factor
the sides and 13x
sum of the sides defines perimeter
that is
5x12x13x=15
30x=15
x=15/30
x=0.5
the sides of the triangle are 0.5(5)=2.5
0.5(12(=6
0.5(12)=6.5
2.5,6 6.5 All in inches
I need help on this too
2-5=
-1 - 5=
Answer:
-3 and -6
Step-by-step explanation:
Answer:
1. -3
2. -6
Step-by-step explanation:
Herschel uses an app on his smartphone to keep track of his daily calories from meals. One day his calories from breakfast were 115 more, than his calories from lunch, and his calories from dinner were 200 less than twice his calories from lunch. If his total caloric intake from meals was 2135, determine his calories for each meal.
Answer:
calories
Breakfast: 670
Lunch: 555
Dinner: 910
Total = 2135 calories
Step-by-step explanation:
Let B, L and D, stand for the calories from Breakfast, Lunch, and Dinner
One day his calories from breakfast were 115 more, than his calories from lunch:
B = L + 115
his calories from dinner were 200 less than twice his calories from lunch.:
D = 2L - 200
total caloric intake from meals was 2135:
B + L + D = 2135
------
We have B and D defined in terms of L from the first two equations, so use them in the third:
B + L + D = 2135
[L+115] + L + [2L-200] = 2135
4L - 85 = 2135
4L = 2220
L = 555 calories
B = L + 115
B = 555 + 115
B = 670 calories
D = 2L - 200
D = 2(555) - 200
D = 910 calories
================
CHECK
Does B + L + D = 2135 calories?
670 + 555 + 910 = 2135?
2135 = 2135? YES
Select the number that would make this statement true: 344 ÷ ________ = 34.4
Question 2 options:
104
103
102
101
Answer:
103
Step-by-step explanation:
I think
7. Suppose that in the backup web-server problem that we discussed in class, the main server is more reliable than the backup server-the probability that the main server fails is 1% while the probability that the backup server fails is 5%. As in class, assume that the two servers fail independently.
With this modification, find the chance that:
a) Both servers fail.
b) Exactly one of the servers fails.
c) At least one of the servers fails.
d) Do you think the assumption that the two servers fail independently is realistic?
What would make it more realistic? What would make it less realistic?
a) The chance that both servers fail is 0.05% (or 0.0005). b) The chance that exactly one of the servers fails is 5.9%. c) The chance that at least one of the servers fails is 5.95%. d) The assumption that the two servers fail independently may not be entirely realistic in all scenarios.
To find the probabilities in this scenario, we can use the probabilities of the main server and backup server failing, assuming they fail independently.
Let's denote:
P(M) = Probability of the main server failing = 0.01 (1%)
P(B) = Probability of the backup server failing = 0.05 (5%)
a) To find the chance that both servers fail, we need to calculate the probability of the intersection (AND) of the events:
P(both servers fail) = P(M) * P(B) = 0.01 * 0.05 = 0.0005 (0.05%)
b) To find the chance that exactly one of the servers fails, we can calculate the probability of the union (OR) of the mutually exclusive events:
P(exactly one server fails) = P(M) * (1 - P(B)) + (1 - P(M)) * P(B)
= 0.01 * (1 - 0.05) + (1 - 0.01) * 0.05
= 0.01 * 0.95 + 0.99 * 0.05
= 0.0095 + 0.0495
= 0.059 (5.9%)
c) To find the chance that at least one of the servers fails, we can calculate the probability of the complement (NOT) of both servers being operational:
P(at least one server fails) = 1 - P(both servers work)
= 1 - (1 - P(M)) * (1 - P(B))
= 1 - (1 - 0.01) * (1 - 0.05)
= 1 - 0.99 * 0.95
= 1 - 0.9405
= 0.0595 (5.95%)
d) The assumption that the two servers fail independently might not be entirely realistic in all scenarios. Factors such as shared infrastructure, common vulnerabilities, or external factors can introduce dependencies between the failure probabilities of the servers. If there are dependencies or shared factors that could cause correlated failures, the assumption of independence becomes less realistic.
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For each of the following situations, decide what sampling method you would use. Provide an explanation of why you selected a particular method of sampling.
a. The major state university in the state is attempting to lobby the state legislature for a bill that would allow the university to charge a higher tuition rate than the other universities in the state. To provide a justification, the university plans to conduct a mail survey of its alumni to collect information concerning their current employment status. The university grants a wide variety of different degrees and wants to make sure that information is obtained about graduates from each of the degree types. A 5% sample of alumni is considered sufficient.
b. The Environmental Protection Agency (EPA) is required to inspect landfills in the United States for the presence of certain types of toxic material. The materials were sealed in containers and placed in the landfills. The exact location of the containers is no longer known. The EPA wants to inspect a sample of 1000 containers from the 40,000 containers know to be in the landfills to determine if leakage from the containers has occurred.
a. The sampling method that I would use for the given scenario is stratified random sampling.
b. The sampling method that I would use for the given scenario is systematic sampling.
Stratified random sampling is the most effective way to get accurate results in this situation. The university wants to conduct a mail survey of its alumni to collect information about their current employment status to justify charging a higher tuition rate than other universities. Stratified random sampling divides the population into strata based on certain characteristics.
In this case, strata would be the alumni that have different degrees from the university. The information collected through this method will be more representative of the population than simple random sampling. It ensures that each stratum is represented accurately in the sample. It also minimizes the variability within each stratum. It is an effective way of ensuring that each stratum is properly represented.
Systematic sampling involves selecting every kth element from a list of the population. In this situation, the Environmental Protection Agency (EPA) wants to inspect a sample of 1000 containers from the 40,000 containers known to be in landfills to determine if leakage from the containers has occurred. As the exact location of the containers is no longer known, systematic sampling can be used.
EPA can select every 40th container from the list of the population, as 40,000/1000 = 40. In this way, they will have a random sample of 1000 containers from the 40,000 containers. This sampling method is less time-consuming and more cost-effective than other sampling methods. It also ensures the sample is representative of the entire population.
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What is the best unit of measure for gasoline QUICK whoever gives right answer gets brainliest
Answer:
The standard cubic foot
&
The standard cubic meter
Step-by-step explanation:
If the volume of this cube (15 cm and 5 cm) is 525 cm3,then the length of the missing side is what cm?