Answer:
ITS ONE
Step-by-step explanation:
WHEN YOU MULTIPLY 1X1 YOU GET ONE
Using the following table determine the probability a person tests positive who does not actually have Tuberculosis.
Using it's concept, the probability a person tests positive who does not actually have Tuberculosis is:
c. 49/148.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, there are 198 + 98 = 296 people who test positive, which is the number of total outcomes, and of those, 98 do not have the disease, which is the number of desired outcomes. Hence the probability is given by:
p = 98/296 = 49/148.
Which means that option c is correct.
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The probability a person tests positive who does not actually have Tuberculosis is 1/100
How to determine the probability a person tests positive who does not actually have Tuberculosis?The probability is given as:
The probability a person tests positive who does not actually have Tuberculosis.
This is a conditional probability, and it can be calculated using
P = n(Tests positive | Does not have Tuberculosis)/n(Does not have Tuberculosis)
Using the given table of values, we have:
P = 98/9800
Evaluate the quotient
P = 1/100
Hence, the probability a person tests positive who does not actually have Tuberculosis is 1/100
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I need help immediately!! For large parties at a certain restaurant, a tip of 20% is automatically included on the bill. Select yes or no to show whether each of the following tip amounts are correct for a 20% gratuity on each subtotal. Round to the nearest cent if necessary.
yes no
subtotal: $224.60
tip: $46.42
subtotal: $173.51
tip: $34.70
subtotal: $124.29
tip: $24.86
20% is .20
multiply .20 to every subtotal to get the tip
$46.42? no its really 44.92
$34.70? yes
$24.86? yes
find one solution as a function of if solves the differential equation y''-10y' 41y=0 use coefficients and if needed.
To find a solution to the differential equation y'' - 10y' + 41y = 0, we can assume a solution of the form y = e^{rx}, where r is an unknown constant.
By substituting this into the differential equation and simplifying, we can find the characteristic equation and solve for the values of r. Once we have the values of r, we can construct the general solution by combining exponential terms.
Assuming a solution of the form y = e^{rx}, we can substitute it into the differential equation to get:
r^2e^{rx} - 10re^{rx} + 41e^{rx} = 0
Factoring out e^{rx}, we obtain:
e^{rx}(r^2 - 10r + 41) = 0
For this equation to hold, either e^{rx} = 0 or r^2 - 10r + 41 = 0. Since e^{rx} is never zero, we focus on solving the quadratic equation:
r^2 - 10r + 41 = 0
Using the quadratic formula, we find the roots:
r = (10 ± sqrt(10^2 - 4141)) / 2
r = 5 ± sqrt(-24)
r = 5 ± 2i√6
Since the roots are complex, the general solution will involve complex exponential terms. Therefore, a solution to the given differential equation is:
y = e^{5x}(C1cos(2√6x) + C2sin(2√6x))
where C1 and C2 are arbitrary constants.
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help! trigonometry, ty
The logarithmic expression as a single logarithm is \(log_{2}\)(a\(b^{2}\)/\(c^{3}\))
What is logarithm?A logarithm is defined as the power to which a number must be raised to get some other values. It is the most convenient way to express large numbers. A logarithm has various important properties that prove multiplication and division of logarithms can also be written in the form of logarithm of addition and subtraction.
\(log_{2}a + 2log_{2}b - 3log_{2}c\)
\(2log_{2}b\) may be simplified as \(log_{2}b^{2}\)
\(3log_{2}c\) may be simplified as \(log_{2}c^{3}\)
Which reduces the expression as
\(log_{2}a\) + \(log_{2}b^{2}\) - \(log_{2}c^{3}\)
factor out log2 since it is common
and replace addition sign with multiplication and subtraction sign with division
\(log_{2}(\frac{a * b^{2} }{c^{3} })\) which finally becomes \(log_{2}(ab^{2} /c^{3})\)
In conclusion, the simplified form of the logarithmic expression is \(log_{2}(ab^{2} /c^{3})\)
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y=−(x−1)(x+3) has how many real roots?
A. 0
B. cannot be determined
C. 2
D. 1
Step-by-step explanation:
2 real roots in thequestipn
Answer
C:2
Step-by-step explanation:
Between 11 P.M. and 8:20 A.M., the water level in a swimming pool decreased by 4/9 in . Assuming that the water level decreased at a constant rate, how much did the water level drop each hour?
That means that each hour it drops about 0.0625 inches
Divide the decrease in water level by the length of the time interval.
decrease = 7/12 inches ≅ 0.583 inches
Time interval: From 11 pm to 8:20 am you have 9:20 hours = (9 + 20/60) hours ≅ 9.33 hours
So the water drops at a rate of about
0.583/9.33 inches/hour ≅ 0.0625 inches/hour
Therefore, each hour it drops about 0.0625 inches.
The rate constant, or the specific rate constant, is the proportionality constant in the equation that expresses the relationship between the rate of a chemical reaction and the concentrations of the reacting substances.The rate constant is a proportionality factor in the rate law of chemical kinetics that relates the molar concentration of reactants to reaction rate. It is also known as the reaction rate constant or reaction rate coefficient and is indicated in an equation by the letter k.
Rate constant is dependent on the temperature. For zero-order reaction, rate constant's unit is mol L - 1 s - 1 . For first-order reaction, rate constant's unit is . For second-order reaction, rate constant's unit is mol - 1 L s - 1 .
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Answer need ASAP
Add -3 1/6 + 5 3/4 and write it as a reduced mixed number
-3 1/6 + 5 3/4 = ?
Answer: 2 5/6 I think.
Wait no. I just did the math and it would be 2 1/2
What do the 300 and 10 in the diagram represent….PLEASE I NEED HELP FAST
Answer:
3
Step-by-step explanation:
Show the value of 4/3 ÷ 2/5. show reasoning
Answer:
\(3\frac{1}{3}\)
Step-by-step explanation:
Dividing fractions is like multiplying the reciprocal of the second number
For example: \(\frac{36}{3}\) divided by \(\frac{24}{6}\)
Multiply the reciprocal, which is 6/24
\(\frac{36}{3} * \frac{6}{24} ,\) Find divisible diagonal factors. Divide by 3 diagonally and divide by 12 diagonally
\(\frac{3}{1} * \frac{2}{2} = 3\)
You can check by making 36/3 to 12 and 24/6 to 4.
12/4 = 3
In the same way:
\(\frac{4}{3} /\frac{2}{5} = \frac{4}{3} * \frac{5}{2} =\)
Divide by 2 diagonally
\(\frac{2}{3} * \frac{5}{1} =\frac{10}{3} = 3\frac{1}{3}\)
The answer is \(3\frac{1}{3}\)
Hope this helps :)
Have a nice day!
Help!!! In the ____sq parts pls
Answer:
1. 63 sq m
2. 76 sq m
3. about 36.56 sq m or 24 + 4\(\pi\)
Step-by-step explanation:
Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just don’t want to waste my time in case you don’t want me to :)
Plz, help I have no clue how to solve this.
Answer: Create equations. Top length=Bottom length
Left side = right side.
Combine like terms and rewrite the equations.
Use the new equations to create a system of equations to solve for x and y.
Once you have x and y, you can substitute those in the expressions for the lengths of the parallelogram.
You should end up with top and bottom lengths of 10. The sides are 9.
Step-by-step explanation:
3x-5 = 18 -2y . Rewrite as 3x + 2y = 23
x+4 = 21 -3y Rewrite as x + 3y = 17
The system of equations is
3x + 2y = 23 and x + 3y = 17 . To solve by substitution, multiply the second equation by -3 It becomes -3x-9y= -51 Add the equations so the x terms cancel. Solve for y
3x + 2y = 23
-3x - 9y = -51
0 -7y = - 28 Divide both sides by -7. y = 4
Substitute 4 for y, solve for x
x + 3(4) = 17
x + 12 = 17 . Subtract 12 from both sides x = 5
Substitute the values of x and y in the expressions
Top: 3x-5 is 3(5) -5 becomes 10
Bottom: 18 -2y is 18 - 2(4) becomes 10
Left: x +4 is (5) + 4 becomes 9
Right: 21 - 3y is 12 -3(4) becomes 9
The area of a circle is 77.45cm2.
Find the length of the radius rounded to 2 DP.
1. The tension t in a spring varies directly with the distance d the spring is stretched. If the tension is 46 pounds when the spring is stretched 4 inches, find the tension when the spring is stretched twice as far.
2. The time t it takes to fill a bucket varies directly with the volume g of the bucket. If it takes 2 minutes to fill a 8-gallon bucket, how long will it take to fill a 5-gallon bucket?
3. The power P in an electric circuit varies directly with the square of the current I. If P = 30 when I = 2, find P when I = 5.
4. The amount of money M a woman makes per week varies directly with the number of hours h she works per week. If she works 28 hours and earns $137, how much does she make if she works 42 hours?
5. The weight F of a body varies inversely with the square of the distance d between the body and the center of the Earth. If a man weighs 250 pounds 4,000 miles from the center of the Earth, how much will he weigh at a distance of 5,000 miles from the center of the Earth.
9514 1404 393
Answer:
92 pounds 1 minute 15 seconds 187.5 $205.50 160 poundsExplanation:
1. The tension is proportional to distance, so twice the distance will result in twice the tension:
2 × 46 lbs = 92 lbs
__
2. The fill time is proportional to the volume, so 5/8 of the volume will take 5/8 of the time:
(5/8)(2 min) = 10/8 min = 5/4 min = 1 minute 15 seconds
__
3. When the current increases by a factor of 5/2, the power increases by the square of that factor.
(5/2)^2 × 30 = 187.5 . . . power at increased current
__
4. Working 42/28 times as many hours will result in 48/28 times as much pay:
(42/28) × $137 = $205.50
__
5. The new distance is 5000/4000 = 5/4 times the reference distance, so the new weight will be 1/(5/4)^2 = (4/5)^2 = 16/25 times the reference weight.
(16/25)(250 lbs) = 160 lbs
:))))))))))))))))))))))))))))))))))))
Answer:
Step-by-step explanation:
:)))))))))))))))
context switching is required by all preemptive algorithms.
true/false
The given statement "context switching is required by all preemptive algorithms " is False.
Context switching is not required by all preemptive algorithms. Preemptive algorithms allow the operating system to interrupt the currently executing process and switch to another process.
Context switching involves saving the state of the currently running process and restoring the state of the next process to be executed. While context switching is a common mechanism in preemptive scheduling algorithms, there are non-preemptive algorithms that do not require context switching as they allow processes to run until they voluntarily release the CPU.
So, the statement that context switching is required by all preemptive algorithms is false.
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Please help ASAP I’ll give brainliest
Answer:
D. y-9 = 2(x-1) (This is wrong dont use lol)
Answer:
C is your correct answer.
Step-by-step explanation:
Point Slope Formula:
y - y1 = m(x -x1)
Your Coordinate Points: (-2, 3) and (1,9)
The first "y" is 3 so the y1 should be 3.
The First "x" is -2 which is what x1 should be.
**But -x1 and -2 have to be + because negative and negative should cancel out and become an addition problem.
Point Slope Form Right Now:
y - 3 = m ( x + 2)
We're missing the "m" which is the slope.
Here's the specific formula:
y2 - y1/ x2 - x1
The "y2" is 9
The "y1" is 3
The "x2" is 1
The "x1" is -2
Now, do 9-3 over 1- (-2)
9-3 = 6 and 1-(-2) = 3
6/3 should be the answer for slope but it needs to be simplified
So, do 6 divided by 3 which is 2.
2 is your slope.
Plug it in and finalize!!
y - 3 = 2 ( x + 2)
**The answer is C but the writing of the answer choice is wrong.
Do the following blankets have the same perimeter, area, or both?
Two blankets. The first blanket is shaped like a square. The bottom of the first blanket is labeled 3 meters and the right side is labeled 3 meters. The second blanket is shaped like a rectangle. The bottom edge is labeled 2 meters and the right edge is labeled 4 meters
Comparing the two blankets, we find that they have the same perimeter (12 meters) but different areas (9 square meters for the square blanket, 8 square meters for the rectangular blanket).
Let's compare the perimeters and areas of the two blankets.
First blanket (square):
Side length: 3 meters
Perimeter: 4 x side length = 4 x 3 meters = 12 meters
Area: \(side $ length^2 = 3^2 = 9 $ square $ meters\)
Second blanket (rectangle):
Length: 2 meters
Width: 4 meters
Perimeter: 2 x (length + width) = 2 x (2 + 4) meters = 2 x 6 meters = 12 meters
Area: length x width = 2 x 4 = 8 square meters.
Note: Perimeter refers to the total distance around the boundary of a two-dimensional shape.
It is the sum of the lengths of all the sides of the shape.
Here are some key points about perimeter:
Calculation: The perimeter of a shape can be calculated by adding together the lengths of all its sides.
The formula for perimeter varies depending on the specific shape.
Square: The perimeter of a square is calculated by multiplying the length of one side by 4.
So, the formula for the perimeter of a square is P = 4s, where s represents the length of a side.
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The table below shows the temperature, in Fahrenheit, that was recorded
every hour from 9:00 P.M. to 8:00 A.M. at Dulles International Airport.
Assuming a quadratic relationship, if time = 0 represents 9:00 P.M., which
would the model predict the temperature to be at 11:00 A.M., to the nearest
tenth of a degree?
Answer:
im so so so sorry, but i dont know(possibly because im only in 7th grade with a sucky teacher)
Step-by-step explanation:
The answer is y(10° ) = -5351.5
What is a quadratic equation?A quadratic equation is a second-order polynomial equation in a single variable, x.
To write a quadratic relationship, consider the first three points: let it be A (0,70), B (1,69.7), and C (2,69.1).
To find the constant value, we substitute the first point in the quadratic function.
i.e \(y=ax^{2} +bx+c\)
At point A, the equation becomes
y=0+0+c=70
i.e c=70
At point B, the equation becomes
a+b=69.7
At point C, the equation becomes
4a+2b=69.1
By solving the two equations above, we get the values of a and b.
a=-35.15 and b=104.85
Then the quadratic relationship becomes
\(y=-35.15x^{2} +104.85x+70\)
At 11:00 A.M, the temperature becomes
y(10°) =-35.15(14*14) + 104.85(14)+70
y(10°)=-5351.5
The predicted temperature at 11.00 A.M is given by, y(10°)=-5351.5
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Solve for x 1-6x=-17
Answer:
x=3
Step-by-step explanation:
1. Rearrange terms
1 - 6x = -17
-6x + 1 = -17
2. Subtract 1 from both sides of the equation (we want to get rid of 1)
3. Simplify
In the end, you should get x=3.
1) Which situation would NOT have a solution if you wanted to know how many pieces of candy each person would receive? a) Zero pieces of candy split equally among 4 people b) Four pieces of candy split among zero people
The situation that would NOT have a solution if you wanted to know how many pieces of candy each person would receive is b) Four pieces of candy split among zero people.
When you divide a quantity (in this case, the four pieces of candy) among a group of people, you need to have a non-zero number of people. Dividing by zero is undefined in mathematics, so if there are zero people, there is no way to distribute the candy equally among them.
what is numbers?
In mathematics, a number is a mathematical object used to represent quantity, value, or measurement. Numbers can be classified into different types, such as natural numbers (1, 2, 3, ...), integers (..., -2, -1, 0, 1, 2, ...), rational numbers (fractions), real numbers (including irrational numbers), and complex numbers (numbers of the form a + bi, where a and b are real numbers and i is the imaginary unit). Numbers are fundamental in mathematical operations such as addition, subtraction, multiplication, and division, and they play a central role in various branches of mathematics.
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A line passes (-8,-2) and has a slope of 5/4. Write an equation in Ax + By=C
Answer:
5x-4y = -32
Step-by-step explanation:
First write the equation in point slope form
y-y1 = m(x-x1)
y - -2 = 5/4 ( x- -8)
y+2 = 5/4 (x+8)
Multiply each side by 4 to clear the fraction
4( y+2 )= 4*5/4 (x+8)
4y +8 = 5(x+8)
4y+8 = 5x+40
Subtract 4y from each side
8 = 5x-4y +40
Subtract 40 from each side
-32 = 5x-4y
5x-4y = -32
Answer:
The answer is
5x - 4y = -32Step-by-step explanation:
To write an equation of a line given a point and slope use the formula
y - y1 = m( x - x1)
where
m is the slope
( x1 , y1) is the point
From the question
slope = 5/4
point (-8 , -2)
So the equation of the line is
\(y + 2 = \frac{5}{4} (x + 8)\)Multiply through by 4
4y + 8 = 5( x + 8)
4y + 8 = 5x + 40
5x - 4y = 8 - 40
We have the final answer as
5x - 4y = -32Hope this helps you
If the measure of angle 4 is 70 degrees, what is the measure of angle 1?
Answer:
angle 1= 110 degrees
Step-by-step explanation:
A line = 180 degrees
Since angle 1 and 4 make a line then both of them have to equal 180 degrees.
So, you would just subtract 180-70(angle 4)= 110 which gives you angle 1.
You could do the same with angle 4 and 3, angle 3 and 2, and angle 2 and 1 since they all form a line.
Check all statements that are true. If none are true click “None”
A- Since it is a repeating decimal, 14.19 is irrational.
B- Since it is a terminatingdecimal, 12.19 is rational.
C- Since 16 is a perfect square,
16 is irrational
D- Since 6 is not a perfect square, 6 is rational.
E- Since it’s a ratio of two integers 11/3 is rational
Answer:
B and E are True.
Step-by-step explanation:
B 12.19 is a terminating decimal so it is rational.
E its a ratio of 2 integers so its rational.
A - is not repeating so this is false.
C. a perfect square is rational - 16 can be written as 16/1.
D. 6 is rational because it can be written as 6/1 not because its not a perfect square.
If θ is an angle in standard position and its terminal side passes through the point (35,-12), find the exact value of \cot\thetacotθ in simplest radical form.
The cotangent of the angle is -0.343
How to determine the cotangent of the angle?From the question, we have the following parameters that can be used in our computation:
(35, -12)
This means that
(x, y) = (35, -12)
The cot(θ) is calculated as
cot(θ) = y/x
Substitute the known values in the above equation, so, we have the following representation
cot(θ) = -12/35
Evaluate
cot(θ) = -0.34285714285
Approximate
cot(θ) = -0.343
Hence, the value of cot(θ) is -0.343
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whoever can help me will gwt the brainliest!
Answer:
9. 7*12*14=1176
10. 6*5*8=240
11.6*8*15=720
12. 11*5*9=495
13. 7*16*28=3136
14. 13*8*24=2496
Helpppppp I’m literally going insane
The supply of cold water can be through two systems: direct and indirect. Explain two (2) advantages and three (3) disadvantages of installing an indirect cold water supply system
An indirect cold water supply system is a system that involves the use of a cold water storage cistern as the source of water supply instead of the main water supply.
The following are two (2) advantages and three (3) disadvantages of installing an indirect cold water supply system:
Advantages of indirect cold water supply system:
1. The system is less likely to be affected by water pressure changes in the main supply since it is fed by the cistern.
2. It provides for reserve water capacity during water supply interruptions or emergencies.
D is advantages of indirect cold water supply system:
1. An indirect system requires more installation space than a direct system because a cold water storage cistern is necessary.
2. The system is more expensive to install than a direct system since it involves the use of additional components such as a cold water storage cistern.
3. It requires regular maintenance because the cistern must be cleaned and inspected on a regular basis to prevent contamination.
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PLEASE HURRY IM TIMED WILL MARK BRAINLEST LOTS OF POINS
Water flows back and forth between a small and large tank. When water is moving into a tank the flow rate is positive, and when water is moving from a tank the flow rate is negative. The large tank begins with 300 gallons of water, and the small tank begins with 200 gallons of water. After a period of 5 minutes, the large tank has the same amount of water as the small tank. Which statement describes the flow rate?
The flow rate of the large tank is 10 gal/min, and the flow rate of the small tank is –10 gal/min.
The flow rate of the large tank is –10 gal/min, and the flow rate of the small tank is 10 gal/min.
The flow rate of the large tank is 20 gal/min, and the flow rate of the small tank is –20 gal/min.
The flow rate of the large tank is –20 gal/min, and the flow rate of the small tank is 20 gal/min.
Answer? the answer is A
Step-by-step explanation:
is A
21-b book street books sells about 3400 books each month. the pie chart displays the most popular book categories, by percentage, each month. find the number of travel books sold each month. round your answer to the nearest integer.
The number of travel books sold each month is 1598.
To find the number of travel books sold each month, we need to multiply the total number of books sold by the percentage of books that are in the travel category.
The given pie chart shows the distribution of the most popular book categories sold by Book Street Books, expressed as percentages of the total number of books sold each month.
The percentage of books sold that are travel books is 47%, so we need to multiply 0.47 by the total number of books sold
Number of travel books sold = 0.47 x 3400
Multiply the numbers
= 1598
Rounding this to the nearest integer gives us
Number of travel books sold each month = 1598
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The given question is incomplete, the complete question is:
Book street books sells about 3400 books each month. the pie chart displays the most popular book categories, by percentage, each month. find the number of travel books sold each month. round your answer to the nearest integer.
2.) the acosta family went out to dinner. the price of the meal was $79.85. if the tip was 15%. how much money did the acosta family pay for the meal, including tip
the acosta family went out to dinner. the price of the meal was $79.85. if the tip was 15%.The Acosta family paid $91.83 for the meal, including the 15% tip.
To calculate the total amount paid, we need to add the original price of the meal to the tip amount. The price of the meal was $79.85, and the tip was 15% of that amount. To find the tip, we multiply $79.85 by 0.15 (or 15% expressed as a decimal), which equals $11.98. Adding the tip of $11.98 to the original price, the total amount paid is $91.83.
In more detail, a 15% tip means that 15% of the meal price is added as an extra amount to the bill. To calculate the tip, we multiply the meal price ($79.85) by 0.15 (or 15% as a decimal), resulting in $11.98. This represents the additional amount the Acosta family paid for the tip. To find the total amount paid, we add the tip amount to the original meal price: $79.85 + $11.98 = $91.83. Therefore, the Acosta family paid $91.83 for the meal, including the tip.
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