A steel cylinder with a moveable piston on top is filled with helium (He) gas. The force that the piston exerts on the gas is constant, but the volume inside the cylinder doubles, pushing the piston up.
Which of the following answers correctly states the cause for the change described in the scenario?
The temperature increased.The density of the helium atoms decreased.The pressure decreased.The helium atoms increased in size.Final answer:
To determine the probability of passing a 10-question true-false quiz with at least a 70% score when guessing, we calculate the probabilities of getting 7, 8, 9, and 10 answers correct and sum them, using the binomial probability formula.
Explanation:
A student takes a 10-question true-or-false quiz and guesses randomly without studying. To find the probability of getting exactly 4 correct answers out of 10 questions, we can use a binomial probability formula which is P(X=k) = (n choose k) * p^k * (1-p)^(n-k), where 'P(X=k)' is the probability of 'k' successes in 'n' trials, 'p' is the probability of success on a single trial, and '(1-p)' is the probability of failure on a single trial.
In this case, guessing true or false correctly is a 50% chance or 'p' equals 0.5, since there are only two possible outcomes, and 'n' is 10. To calculate the probability of passing the quiz with at least a 70 percent score, we need at least 7 correct answers out of 10. We will calculate the probabilities of getting exactly 7, 8, 9, and 10 correct answers and then sum these probabilities.
The calculation for P(X=7) would be (10 choose 7) * 0.5^7 * 0.5^(10-7). Similarly, we would calculate P(X=8), P(X=9), and P(X=10) using the same formula with different values for 'k'. Once we have these probabilities, we can add them up to find the total probability of scoring at least 70 percent on the quiz.
Remember to round answers to relative frequency and probability problems to four decimal places for accurate results.
What is the rate of change of the linear relationship modeled in the table?
x y
1 2
3 5
5 8
7 11
(4 points)
a) negative three over two
b) two over three
c) 1
d) three over two
Answer the question if you cant see all the answers it don't matter all u need is the question
area for triangle = 1/2 x h x b
so 1 triangle = 1/2 x 5.12 x 3.23 = 8.2688 since the triangles are congruent they are equal so 8.2688 x 2 = 16.5376
round that up to 17
Answer is C 17 square inches
The variable Z is directly proportional to X. When X is 3, Z has the value 57. What is the value of Z when X = 8
Gas station A has posted a chart that shows the price of gasoline in terms of the number of gallons. Gallons Price 3 9.15 5 15.25 7 21.35 Gas station B has an equation that represents the price, p, for gallons, g, of gasoline as p = $3.08g. Which gas station sells gasoline at a lower rate? What price does it charge? Gas station A sells gasoline at a lower rate. Its price is $3.08 per gallon. Gas station B sells gasoline at a lower rate. Its price is $3.05 per gallon. Gas station A sells gasoline at a lower rate. Its price is $3.05 per gallon. Gas station B sells gasoline at a lower rate. Its price is $3.08 per gallon.
A realtor listed a house that was 45 yards by 10 yards. What is the total square footage of the house?
Answer: There is 1500 squared feet of the house.
Explanation:
Since we have given that
Dimensions of a house is given by
[tex]45\ yards\ and\ 10\ yards[/tex]
So, we need to find the square footage of the house ,
Area of house is given by
[tex]Length\times Breadth\\=45\times 10=4500\ yards^2[/tex]
Now, we'll change it into feet ,
As we know that
[tex]1\ yard=3\ feet[/tex]
So, total squared footage of the house is given by
[tex]\frac{4500}{3}=1500\ feet^2[/tex]
Hence, there is 1500 squared feet of the house.
write with fractional exponents. (do not use parenthesis) (4)√y^3)
In a recent year, 31.1% of all registered doctors were female. If there were 56,900 female registered doctors that year, what was the total number of registered doctors?
Charlott is running at a rate of 9 km/h. What is charlotte's speed in m/s?
Answer:
The Charlott's speed in m/s is 2.5 m/sec
Step-by-step explanation:
Given : Charlott is running at a rate of 9 km/h.
We have to find the Charlott's speed in m/s.
Consider the given speed of Charlott is 9 km/h.
Since, 1 km = 1000 m
and 1 hour = 3600 sec
Therefore, [tex]9\frac{km}{hr}[/tex] becomes,
[tex]9\frac{km}{hr}=9\times\frac{1000\ m}{3600 \ sec}=2.5[/tex]
Thus, The Charlott's speed in m/s is 2.5 m/sec
25(y+1)-x^2(y+1) i don't know the answer
What is the solution to the following equation?
2(3x − 7) + 18 = 10
1
3
5
6
Please help!!
Which of the following is a true statement? (round to the nearest tenth as needed)
A If 12n = -6, then n = -6
B If 12n = -6, then n = 0.5
C If 12n = -6, then n = -2
D If 12n = -6, then n = -0.5
When an elderly man passed away, he had left each of his 4 children 25% of his estate If he had $72,000, how much did each child receive
simplify square root of 1.69
In the given problem, the square root of 1.69 is 1.3.
The square root of a non-negative real number is a value that, when multiplied by itself, results in the original number. In mathematical notation, the square root of the number "x" is represented by the symbol "√x."
The square root is an inverse operation of squaring, which means that if one squares a number and then take its square root, he or she gets back to the original value. The concept of the square root is nearly related to obtaining the side length of a square with a given area or obtaining the magnitude of a vector in mathematics.
1.69 also can be written as [tex]\dfrac{169}{100}[/tex] in fraction form.
[tex]\sqrt{\dfrac{169}{100}} = \sqrt{\dfrac{13^2}{10^2} }[/tex]
[tex]= \sqrt{(\dfrac{13}{10} )^2}\\= \dfrac{13}{10} \\= 1.3[/tex]
Thus, 1.3 is the square root of 1.69.
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A quadratic equation is shown below:
16x2 − 8x + 1 = 0
Part A: Describe the solution(s) to the equation by just determining the radicand. Show your work. (5 points)
Part B: Solve 4x2 − 8x − 45 = 0 by using an appropriate method. Show the steps of your work, and explain why you chose the method used. (5 points)
Farmer George is painting 3 chicken coops. He started painting this morning. Now he only has 3/4 of a chicken coop left to paint this afternoon. how many chicken coops did farmer George paint this morning
Farmer George has painted 2 1/4 chicken coops this morning. This is calculated by subtracting the remaining part of the chicken coop(3/4) from the total chicken coops(3).
Explanation:Farmer George had 3 chicken coops to paint in total. He only has 3/4 of one chicken coop left to paint. We can subtract the amount of work left from the total amount of work to figure out how much work he has done already.
So, if we take the total amount of chicken coops (which is 3) and subtract the remaining part that needs painting (which is 3/4), we will know how many chicken coops Farmer George has painted this morning.
The calculation is as follows: 3 - 3/4 = 2 1/4 coops
So, Farmer George completed painting 2 whole chicken coops and 1/4 of the third chicken coop this morning.
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Farmer George painted 2.25 chicken coops this morning. This is calculated as the total number of chicken coops (3) minus the remaining part of the chicken coop left to paint (3/4).
Explanation:The question is asking us about how many chicken coops Farmer George painted this morning. Farmer George started with 3 chicken coops and now has 3/4 of a chicken coop left to paint. Since he's already started painting the last chicken coop, this means he has painted 2 whole coops and 1/4 of the last coop. Thus, the answer to how many chicken coops Farmer George painted this morning is 2.25 chicken coops. Mathematically, this is calculated as 3 (the total number of chicken coops) minus 3/4 (the remaining part of the chicken coop left to paint).
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Describe how you can tell that a fraction corresponds to a repeating decimal and not a terminating decimal
Correct answer gets brainliest
Create a set of data that contains 11 test scores and satisfies each condition below:
Mean: 83
Median: 81
Mode: 80
Range: 26
Answer:
An example of a data set that satisfies each of these conditions is:
[72, 75, 79, 80, 80, 81, 82, 84, 88, 94, 98]
Step-by-step explanation:
Let's start by defining the terms:
Mean: Average of all numbers
Median: Middle score in a set of given numbers
Mode: Most frequently occuring number
Range: Difference between the lowest and highest number
There are many possible data sets for these conditions, but these are the numbers I found work. I'm sure there is a simpler way to figure this out, but this way makes the most sense to me. This was my process.
We know that all of our numbers need to add up to 913. We know this because our mean is 83 and there are 11 numbers (83X11=913). We can check this by taking 913/11 (the number of scores)=83 (mean)
We know that the median needs to be 81. When the numbers are in order lowest to highest, we would need to have 5 numbers below 81 and 5 numbers above 81. The sixth number in the set should be 81.
We know the mode is 80, so 80 has to be in our data set at least twice with all other numbers appearing less often. This is why I put two 80s and one of every other number in my data set.
I then picked the lowest number in my data set, ensuring that a range of 26 would allow me enough space on both sides of the median. Since I have my lowest number, I can add 26 and get the highest number in my data set.
Once I have the main numbers, I just need to put other numbers before and after the median that would give me a sum of 913 (see the section about the mean). These can be any numbers that go in the right order as long as they don't change any of the numbers we've already established and they total 913.
this,is multiplication variables 2 (5x × 3y)=
Peter is 2 years older than Winnie. Peter's age is 16 years less than seven times Winnie's age. The equations below model the relationship between Peter's age (p) and Winnie's age (w):
p = w + 2
p = 7w − 16
Which is a possible correct method to find Peter's and Winnie's ages?
Solve w + 2 = 7w − 16 to find the value of w.
Solve p + 2 = 7p − 16 to find the value of p.
Write the points where the graphs of the equations intersect the x axis.
Write the points where the graphs of the equations intersect the y axis.
One integer is 7 times another. If the product of the two integers is 28, then find the integers
Alvin is 12 years older than Elga. The sum of their ages is 112. What is Elga's age?
At 10 am, a building casts a shadow that is 98 feet long. At the same time, a 5 feet tall man casts a shadow that is 4 feet long. Find the height of the building.
Billy has 1 gallon of paint. He is going to pour it into a paint tray that measures 10 inches wide, 14 inches long, and 4 cm deep.
(1 gallon = 231 in3, 1 inch = 2.54 cm)
hich of the following scenarios will happen?
The paint will not fill the tray by 441 cm3.
The paint will not fill the tray by 10.53 in3.
The paint will fill the tray exactly.
The paint will overfill the tray by 10.53 in3.
find volume of tray:
convert 4cm to inches 4/2.54 = 1.575 inches
volume = 10*14*1.575 = 220.47 cubic inches
1 gallon = 231 cubic inches
231-220.47 = 10.53 more paint in a gallon
so the paint will over fill the tray by 10.53 in3
Answer:
The answer is:
The paint will overfill the tray by 10.53 in3 (cubic inches).
Step-by-step explanation:
In order to determine the correct option, first we have to get the volume of the tray.
The volume of the tray is a solid prism, where its formula is:
width=10 in
length=14 in
deep=4 cm=[tex]\frac{4}{2.54} =1.575[/tex] in
Volume=[tex]10*14*1.57=220.5[/tex] cubic inches
The value of the deep measure was changed from cm to inches units.
We subtract the allowed volume of the gallon with the volume tray:
231-220.5=10.5 cubic inches
It means that 1 gallon of paint is enough to paint the tray, where the remaining paint is 10.5 cubic inches.
Finally, the correct option is:
The paint will overfill the tray by 10.53 in3 (cubic inches).
The steps below show the incomplete solution to find the value of x for the equation
7x − 3x − 4 = −1 + 21:
Step 1: 7x − 3x − 4 = −1 + 21
Step 2: 7x − 3x − 4 = 20
Step 3: 4x − 4 = 20
Which of these is most likely the next step?
4x = 24
4x = 16
4x = 5
4x = 80
The most likely step after the step3 is 4x = 24.
Linear Equation in one variable:
The linear equation in one variable is an equation which is expressed in the form of ax + b = 0, where a and b are two integers, and x is a variable and has only one solution.
According to the given question
we have, a linear equation in variable x, 7x - 3x -4 = -1 + 21
For solving the above equation we will do the following steps
7x -3x -4 = -1 +21
Step1: 4x - 4 = 20
Step2: 4x - 4-20= 0
Step3: 4x -24 = 0
Step4: 4x = 24
Step5: x =24/4 =6
Hence, the most likely step after the step3 is 4x = 24.
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x/10+5/12= 3x-1 what is x
3x-2y=13 2x+3y=-16 are these lines parallell or perpendicular or neither
Is 2/3 closer to 1 or 1/2
The 2/3 fraction would be closer to 1/2.
How to convert from decimal to fraction?For conversion from decimal to fraction, we write it in the form a/b such that the result of the fraction comes as the given decimal. Usually, to get the decimal of the form a.bcd, we count how many digits are there after the decimal point (if its finite), then we write 10 raised to that many power as denominator, and the considered number without any decimal point as numerator.
To make them all into decimal points, which allows you to compare them easier than in fraction form. this is done by dividing the denominator by the numerator.
2/3 = 0.66
1/2 = 0.5
1 = 1.00
The answer would be closer to 1/2.
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Final answer:
When comparing 2/3 to 1 and 1/2, 2/3 is closer to 1/2 than 1.
Explanation:
When comparing the fraction 2/3 to 1 and 1/2, we can determine which it is closer to by analyzing the numerical values. To do this, we can convert both 1 and 1/2 to fractions with the same denominator as 2/3, which is 3.
1 as a fraction with a denominator of 3 is 3/3. Comparing 2/3 and 3/3, we can see that 2/3 is closer to 1 than 3/3.
On the other hand, 1/2 as a fraction with a denominator of 3 is 3/6. Comparing 2/3 and 3/6, we can see that 2/3 is closer to 1/2 than 3/6.
Therefore, we can conclude that 2/3 is closer to 1/2 than 1.
Which expression is equal to x + (f + g)?
xf + g
x + fg
(x + f) ⋅ g
(x + f) + g
The answer is (x + f) + g
Plzzzz help me ??!?!?!??
Pythagorean Theorem is for right triangles
right triangles have a 90 degree angle in them
D is a right triangle