Answer:
P = w - 2
Step-by-step explanation:
I am sorry but I do not quite understand your question here!
Two carts, A and B, are connected by a rope 39 ft long that passes over a pulley P. The point Q is on the floor 12ft directly beneath P and between the carts. Cart A is being pulled away from Q at a speed of 2ft/s. How fast is cart B moving toward Q at the instant when cart A is 5ft from Q
In triangle def, if m∠d = (4x)°, m∠e = (2x − 3)°, and m∠f = (x 8)°, what is the value of x? 51 29 26 25
Answer:
Step-by-step explanation:
The sum of the measures of the angles of a triangle is 180°.
m<D + m<E + m<F = 180°
4x + 2x + m<F = 180
What is the measure of <F? It's not clear in the post.
A scientist observed a bacterium in a microscope. It measured about 0.0000029 meter in diameter. Which of the following is closest to 0.0000029?
A.
2×10−6
B.
2×10−5
C.
3×10−5
D.
3×10−6
Answer: A. \(2\times10^{-6}\).
Step-by-step explanation:
Given: The diameter of bacterium = 0.0000029 meter
≈ 0.000002 meter [ with 6 decimal places]
\(=\dfrac{2}{1000000}=\dfrac{2}{10^6}\)
\(=2\times10^{-6}\) meters [\(\dfrac{1}{a^n}=a^{-n}\)]
i.e. \(2\times10^{-6}\) closest to 0.0000029.
Hence, the correct option is A. \(2\times10^{-6}\).
I'm so confused, how do you do this ;-;
Answer:
1. 12 m
2. 15.2 ft
3. 22 km
4. 10 ft
Step-by-step explanation:
Diameter is the radius multiplied by itself to find the entire length of a circle
Whats a fraction thats equivalent to 3/4
Answer:
6/8
Step-by-step explanation:
3/4
3*2=6
4*2=8
6/8= 3/4
Answer: 6/8
Step-by-step explanation:
a. Lin is using the diagram to prove the statement, "If a parallelogram has
one right angle, it is a rectangle." Given that EFGH is a parallelogram
and angle HEF is a right angle, write a statement that will help
prove angle FGH is also a right angle.
The statement that will help prove angle FGH is also a right angle is opposite angles in a parallelogram are congruent.
What is parallelogram?
A parallelogram is a straightforward quadrilateral with two sets of parallel sides in Euclidean geometry. A parallelogram's facing or opposing sides are of equal length, and its opposing angles are of equal size.
Given:
EFGH is a parallelogram and ∠HEF is a right angle.
Then ∠FGH is also right angle.
Since opposite angles in a parallelogram are congruent.
Hence, the statement that will help prove angle FGH is also a right angle is opposite angles in a parallelogram are congruent.
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Is Y =- 3 represent a line parallel to x-axis?
Yes.The equation y = -3 represents a line that is parallel to the x-axis.
In a two-dimensional coordinate system, the x-axis is the horizontal axis and the y-axis is the vertical axis. A line parallel to the x-axis will have a constant y-value, and a line parallel to the y-axis will have a constant x-value.
In this case, the equation y = -3 represents a line that has a constant y-value of -3. This means that for every point on the line, the y-coordinate will be -3 and the x-coordinate can take any value. This line is parallel to the x-axis as it does not change in its x-coordinate, so it does not have a slope and it's equation is a horizontal line.
Note, a line parallel to the x-axis is also called a horizontal line, and a line parallel to the y-axis is also called a vertical line.
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At this rate how long would it take for you heart to beat 700,000 times? Express your answer in days . Now express your answer in days , hours, minutes, & seconds. (Example:2 days , 4 hours 21 minutes, 15seconds)
The time that it would take for you heart to beat 700,000 times is
8days 2hours 26 mints 40second.
To calculate at this rate of heart to beat 700,000 times we take :
It should be noted that the heart beats in a day = 86400 times
(24 hours = 86400 times)
Takes about 1 hour for a heart to beat = 3600times
Takes about 15 mints for a heart to beat = 900times
Takes about 60 sec for a heart to beat = 60times
Therefore,
the number of days will be given as
= 700000 / 86400
= 8.10 days
= 8days 2hours 26 mints 40second.
The time that it would take for you heart to beat 700,000 times is
8days 2hours 26 mints 40second.
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ten times the sum of half a number x and 9 is 13
Answer:
10*((x/2)+9)=13
Step-by-step explanation:
This year, Carlos planted 6 more than one-third of the cucumber plants he planted last year. How many cucumber plants
did he plant this year if last year he planted 12 plants?
06
9
O 10
O 12
Answer:
10.
Step-by-step explanation:
6+1/3*12=6+4=10
Answer: 10
Step-by-step explanation:
The diameter of a circle is 16 ft. Find its area to the nearest whole number.
Answer:
the area of the circle is approximately
201.06 ft^2
give the approximate english system equivalent for the following metric system description: the gas tank in my new car holds 76 liters.
The approximate English system equivalent for a gas tank that holds 76 liters is about 20 gallons.
To convert liters to gallons, we can use the conversion factor that 1 liter is approximately equal to 0.264172 gallons.
76 liters * 0.264172 gallons/liter ≈ 20.064192 gallons
Rounding to the nearest whole number, we get approximately 20 gallons.
Therefore, the approximate English system equivalent for a gas tank that holds 76 liters is about 20 gallons.
The gas tank in the new car, which holds 76 liters, is approximately equivalent to 20 gallons in the English system. This conversion is based on the approximate conversion factor of 1 liter being approximately equal to 0.264172 gallons.
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passes through (8,-6) perpendicular to 2x+y=-4
Answer: y = 0.5x - 10
Step-by-step explanation:
2x + y = -4
y = -2x - 4
perpendicular, so slope = 1/2
y + 6 = (1/2)(x - 8)
y = (1/2)x - 10
suppose that 1% of the students at a particular college have the h1n1 influenza virus. 1. if a student gets together with 27 other college students over a period of time, what is the theoretical probability that at least one of those 27 students has the h1n1 influenza virus? show as a percentage with 3 decimal places.
There is a theoretical probability of approximately 26.2% that at least one of the 27 students in the group has the H1N1 influenza virus.
To calculate the theoretical probability that at least one of the 27 students has the H1N1 influenza virus, we can use the complement rule. The complement of the event "none of the 27 students have the H1N1 influenza virus" is the event "at least one of the 27 students has the H1N1 influenza virus."
The probability that a student does not have the H1N1 influenza virus is 1 - 0.01 = 0.99. Since the students are selected independently, the probability that none of the 27 students have the virus is (0.99)^27.
Using the complement rule, the probability that at least one of the 27 students has the H1N1 influenza virus is:
1 - (0.99)^27 ≈ 0.262
Expressed as a percentage with 3 decimal places, the theoretical probability is approximately 26.2%.
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Find the Dy/Dx of y=7/x using first principle
By using first principle, the value of Dy/Dx is,
⇒ Dy/Dx = - 7 / x²
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
The expression is,
⇒ y = 7 / x
Now, Differentiate the function with respect to x, we get;
⇒ y = 7 / x
⇒ Dy/ Dx = D / Dx (7 / x)
= 7 D/Dx (1/x)
= 7 (- 1 × x⁻¹⁻¹ )
= 7 (- x⁻²)
= - 7 / x²
⇒ Dy/Dx = - 7 / x²
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Find the probability of getting four consecutive aces when four cards are drawn without replacement from a standard deck of 52 playing cards.
Answer:
P=0.0000037
P=0.00037%
Step-by-step explanation:
Probability
A standard deck of 52 playing cards has 4 aces.
The probability of getting one of those aces is
\(\displaystyle \frac{4}{52}=\frac{1}{13}\)
Now we got an ace, there are 3 more aces out of 51 cards.
The probability of getting one of those aces is
\(\displaystyle \frac{3}{51}=\frac{1}{17}\)
Now we have 2 aces out of 50 cards.
The probability of getting one of those aces is
\(\displaystyle \frac{2}{50}=\frac{1}{25}\)
Finally, the probability of getting the remaining ace out of the 49 cards is:
\(\displaystyle \frac{1}{49}\)
The probability of getting the four consecutive aces is the product of the above-calculated probabilities:
\(\displaystyle P= \frac{1}{13}\cdot\frac{1}{17}\cdot\frac{1}{27}\cdot\frac{1}{49}\)
\(\displaystyle P= \frac{1}{270,725}\)
P=0.0000037
P=0.00037%
Sketch a possible curve of f(x) given the graphs of f ‘ (x) and f’’ (x) below:
Step-by-step explanation:
Graph 1 is a parabola and has 2 x points and a turning point
meaning it has a minimum and a maximum point.
conclave points are the highs and lows, once you show this in table then you can interpreted them on a graph see the examples attached.
Graph 1 is opposite to shown interpreted conclave so instead of --c++
we write + + c - - and draw on quadrant 1 instead of quadrant 3
graph 2 is decreasing so instead of -+ c then + + it would show + - c then - - so the curve stays in quadrant 3 and 4. Also where c is we draw a 0 and say whether it is minimum or maximum point.
Both graph 1 and 2 demonstrate minimum points for their f(x) for c.
so in your workings within the table you write min as seen in red within the attachment. They wrote max, but you write min as you are in decreasing conclave fx values that reach min point c then they increase and become parabolas.
Which of the following statements best describes the function of the logic variable X?
A. X is a variable whose value is 1 or 0.
B. X is a constant value in the indeterminate range of logic values.
C. X is a variable whose value is always 1.
D. X is a variable whose value is always 0.
The best statement that describes the function of the logic variable X is: A. X is a variable whose value is 1 or 0.
Logic variables typically represent binary states or conditions, where 1 represents "true" or "on" and 0 represents "false" or "off". Therefore, option A accurately describes the function of the logic variable X as having a value of either 1 or 0. Logic variables are often used in the field of logic and computer science to represent binary states or conditions. The value of a logic variable can only be one of two possibilities: 1 or 0.
In this context, 1 typically represents "true" or "on," indicating that a certain condition is satisfied or a certain state is active. On the other hand, 0 represents "false" or "off," indicating that the condition is not satisfied or the state is inactive.
By using logic variables, we can model and manipulate binary logic in a precise and systematic manner. The values of logic variables are fundamental in logical operations, such as AND, OR, and NOT, which are essential in designing and analyzing digital circuits, programming, and logical reasoning.
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In a random sample of 200 school district residents, 94 stated they are in favor of starting the school day 15 minutes later each day. Calculate a 90% confidence interval for the true proportion of district residents who are in favor of starting the day later
The 90% confidence interval for the proportion of district residents in favor of starting the school day 15 minutes later is (0.392, 0.548). The true proportion is estimated to lie within this interval with 90% confidence.
To calculate the 90% confidence interval for the true proportion of district residents who are in favor of starting the school day 15 minutes later, we can use the following formula:
CI = p ± z*(√(p*(1-p)/n))
where:
CI: confidence interval
p: proportion of residents in favor of starting the day later
z: z- score based on the confidence level (90% in this case)
n: sample size
First, we need to calculate the sample proportion:
p = 94/200 = 0.47
Next, we need to find the z- score corresponding to the 90% confidence level. Since we want a two-tailed test, we need to find the z- score that cuts off 5% of the area in each tail of the standard normal distribution. Using a z-table, we find that the z- score is 1.645.
Substituting the values into the formula, we get:
CI = 0.47 ± 1.645*(√(0.47*(1-0.47)/200))
Simplifying this expression gives:
CI = 0.47 ± 0.078
Therefore, the 90% confidence interval for the true proportion of district residents who are in favor of starting the school day 15 minutes later is (0.392, 0.548). We can be 90% confident that the true proportion lies within this interval.
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A researcher creates two random samples, each with a sample size of 12. He
does not find a statistically significant difference between the two groups.
Which of the following statements is correct? Select all that apply.
A. The sample size does not impact results of statistical
significance.
B. Since random samples were used, the conclusion is likely to be
true.
C. Since the sample size of each group is greater than 10, the
conclusion is likely to be true.
D. Since the sample size is small, the conclusion is likely to be
untrue.
SUBMIT
None of the given statements (A, B, C, or D) can be selected as correct based solely on the information provided.
From the given information, we have two random samples, each with a sample size of 12, and no statistically significant difference is found between the two groups. Based on this, we can evaluate the given statements:
A. The statement "The sample size does not impact results of statistical significance" is not correct.
The sample size does impact the results of statistical significance. Generally, larger sample sizes increase the power of the statistical test and improve the ability to detect significant differences.
B. The statement "Since random samples were used, the conclusion is likely to be true" is not necessarily correct.
While random sampling helps to reduce bias and increase generalizability, it does not guarantee the truth of the conclusion.
Other factors such as sample representativeness, research design, and analysis methods also contribute to the validity of the conclusion.
C. The statement "Since the sample size of each group is greater than 10, the conclusion is likely to be true" is not entirely accurate.
While having sample sizes greater than 10 is often considered a guideline for certain statistical tests, it is not the sole determining factor for the validity of the conclusion.
D. The statement "Since the sample size is small, the conclusion is likely to be untrue" is not necessarily correct.
The small sample size itself does not automatically invalidate the conclusion.
It depends on the specific research question, effect size, variability, and statistical power of the test.
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All tickets to a play have the same cost. A group bought 6 tickets and paid a total of $99. Write a multiplication equation that can be used to determine cost c in dollars for each ticket.
Unit rate is the quantity of an amount of something at a rate of one of another quantity.
The multiplication equation to determine the cost C in dollars of each ticket is C = 99 x 1/6.
The cost of each ticket is $16.5.
What is a unit rate?It is the quantity of an amount of something at a rate of one of another quantity.
Example:
6 miles in 2 hours
0ne hour will be 3 miles.
We have,
6 tickets = $99
Divide both sides by 6.
1 ticket = 99/6
1 ticket = $16.5
The multiplication equation to determine the cost C in dollars of each ticket:
$C = 99 x 1/6
Thus,
The multiplication equation to determine the cost C in dollars of each ticket is C = 99 x 1/6.
The cost of each ticket is $16.5.
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|3x-2| = 19
3x - 2 HELPPPP
Answer: x=7
Step-by-step explanation: (3x−2)=19
Add 2 to both sides.
3x=19+2
Add 19 and 2 to get 21.
3x=21
Divide both sides by 3.
x= \(\frac{21}{3}\)
Divide 21 by 3 to get 7.
x=7
(2) 3x-2
The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of \(ax^{2}\)
is \(nax^{n-1}\)
.
\(3x^{1-1}\)
Subtract 1 from 1.
\(3x^{0}\)
For any term t except 0, \(t^{0}\) =1.
3×1
For any term t, t×1=t and 1t=t.
answer=3
I need help with 19
Answer: 5/26
Step-by-step explanation:Hope this is helpful
skiing eight people compete in a downhill ski race. assuming that there are no ties, in how many different orders can the skiers finish?
Eight people skiing downhill in a race can finish in 40,320 different orders.
Calculating probabilities for a set of possibilities keeping in account the order they are in is called permutation (\({n}_P_{r}\)).
If we overlook the order, it becomes a problem of combination (\({n}_C_{r}\)).
Permutation plays an important role in probability problems where the order of the possible outcomes is concerned. It does not allow repetition of outcomes.
Mathematically, permutation can be represented as:
\({n}_P_{r}=\frac{n!}{(n-r)!}\)
where 'n' represents the total objects/values/instances and 'r' represents our selected number of objects/values/instances.
In this case, we have total 8 drivers (n=8) and 8 positions we are selecting i.e. the order skiing people finish in (r=8);
\({n}_P_{r}=\frac{8!}{(8-8)!}=\frac{8!}{0!}=\frac{40320}{1}\)
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Write a precise mathematical definition. Follow the guidelines on how to write a definition in proper format as an English sentence. An isosceles triangle is (4 pts.) Write the definition of the following set concepts using set builder notation. The complement of a set S
This means that S' contains all elements that are in the universal set but not in S.
The definition of an isosceles triangle is a triangle that has two sides of equal length. It is a geometric shape characterized by having two sides that are congruent.
The complement of a set S, denoted as S', is the set of all elements that are not in S. It includes all elements that are in the universal set but not in S.
An isosceles triangle is a triangle in which two sides have the same length. In mathematical terms, we can define an isosceles triangle as follows: "An isosceles triangle is a triangle ABC where the length of side AB is equal to the length of side AC, or in symbolic notation, AB = AC."
The complement of a set S is the set of all elements that do not belong to S. In set builder notation, we can define the complement of S as follows: "
The complement of set S is represented as S' and is defined as S' = {x | x is in the universal set but not in S}." This means that S' contains all elements that are in the universal set but not in S.
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The table gives the population in a small coastal community for the period 1997 - 2006. Figures shown are for January 1 each year. Year 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 Population 624 856 1,336 1,578 1,591 1,483 994 826 801 745 (a) What was the average rate of change of population between 1997 and 2001? (b) What was the average rate of change of population between 2004 and 2006?
The average rate change of population between 2004 and 2006 is -40.5 people per year.
To find the average rate of change of population between 1997 and 2001, follow these steps:
Identify the population in 1997 and 2001:
1997: 624
2001: 1,591
Subtract the population in 1997 from the population in 2001:
1,591 - 624 = 967
Divide the difference by the number of years between 1997 and 2001 (4 years):
967 / 4 = 241.75
The average rate of change of population between 1997 and 2001 is 241.75 people per year.
To find the average rate of change of population between 2004 and 2006, follow these steps:
Identify the population in 2004 and 2006:
2004: 826
2006: 745
Subtract the population in 2004 from the population in 2006:
745 - 826 = -81
Divide the difference by the number of years between 2004 and 2006 (2 years):
-81 / 2 = -40.5
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a smartphone was purposefully dropped from a height of 10 meters to test its durability from external physical impact. it will be damaged 100% of the time, but the damage can occur in different parts of the phone. it has been shown that 76% of the damages occur in the glass screen, while the other 24% occur in the battery. a number of smartphones were tested and the tests were independent. find the probability that the first time you observe a battery damage is during the third trial or later.
Answer:
what the quistion?
Step-by-step explanation:
sry i cant spell
The probability that the first time a battery damage is observed is during the third trial or later is 42.74%.
To solve this problem, we can use the geometric distribution, which models the number of trials until the first success in a sequence of independent trials. In this case, the probability of success is 0.24 (the probability of a battery damage) and the probability of failure is 0.76 (the probability of a glass screen damage).
The probability of observing a battery damage for the first time on the third trial or later can be calculated as the complement of the probability of observing a battery damage on the first or second trial.
The probability of observing a battery damage on the first trial is 0.24, and the probability of observing a battery damage on the second trial is (0.76)(0.24) = 0.1824 (the probability of no battery damage on the first trial times the probability of battery damage on the second trial). Therefore, the probability of observing a battery damage for the first time on the third trial or later is 1 - 0.24 - 0.1824 = 0.5776.
However, the question asks for the probability of observing a battery damage for the first time on the third trial or later, which means we need to take into account the fact that we may have observed a battery damage before the third trial. Therefore, we need to adjust our calculation by subtracting the probability of observing a battery damage for the first time on the first or second trial from our previous result.
The probability of observing a battery damage for the first time on the first or second trial is 0.24 + 0.1824 = 0.4224. Therefore, the probability of observing a battery damage for the first time on the third trial or later is 0.5776 - 0.4224 = 0.1552 or 15.52%.
Therefore, the probability that the first time a battery damage is observed is during the third trial or later is 42.74%
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A local volunteer group is planning a family picnic. They ordered 175 hot dogs and
275 hamburgers. If they are planning for each person at the picnic to have one item
to eat, how many people will be attending?
Answer:
450 people
Step-by-step explanation:
what the answer i need it please help me
Applying the Pythagorean theorem, the length of the missing side is: x ≈ 18.3 units.
How to Apply the Pythagorean Theorem?The Pythagorean theorem that is applied to a right triangle with c as the longest side and a and b as the lengths of the other legs is expressed as:
c² = a² + b².
Apply the Pythagorean theorem to find the value of x, where:
a = x
b = 17
c = 25
Plug in the values:
25² = x² + 17²
625 = x² + 289
625 - 289 = x² + 289 - 289
336 = x²
x² = 336
x = √336
x ≈ 18.3 units
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Is 1.57 a rational number
Answer:
yes 1.57 is a rational number you could write it as 1 & 57/100 or 157/1000