2. calculate the volume that will be occupied by .24 liters of hydrogen measured at 260 minhg, when the pressure
changed to 1080mmhg

The probability that exactly 12 of the 15 adult smartphone users use their smartphones in meetings or classes is approximately 0.0040 (rounded to four decimal places).

We can solve this problem using the binomial probability formula:

\(P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)\)

where:

P(X = k) is the probability of exactly k successes (using smartphones in meetings or classes)

n is the total number of trials (in this case, 15 adult smartphone users)

k is the number of successes (in this case, 12 adults using their smartphones in meetings or classes)

p is the probability of a success on a single trial (in this case, 0.44)

(1 - p) is the probability of a failure on a single trial (in this case, 0.56)

Using this formula, we can plug in the values and calculate:

\(P(X = 12) = (15 choose 12) * 0.44^12 * 0.56^(15-12)\)

\(= 455 * 0.0001473577 * 0.215872256\)

= 0.0040367

Therefore, the probability that exactly 12 of the 15 adult smartphone users use their smartphones in meetings or classes is approximately 0.0040 (rounded to four decimal places).

\(= 455 * 0.0001473577 * 0.215872256\).

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Assume that when adults with smartphones are randomly selected, 44% use them in meetings or classes. If 15 adult smartphone users are randomly selected, find the probability that exactly 12 of them use their smartphones in meetings or classes?(Round to four decimal places as needed.)

At the end of the fifth day, a bricklayer has laid 324 bricks on the job.

Multiplication is a mathematical arithmetic operation.

It is also a process of adding the same types of expression to some number of times.

Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.

Given, a bricklayer lays 4 bricks on the first day on the job.

On each day thereafter, he lays three times the number of bricks he laid on the previous day.

And he continued his pattern.

Let x be the number of bricks he laid in the previous day.

Then according to the question,

The number of bricks in total is = 3x

For the second day, x =4

Number of the bricks he laid on the second day = 12

Now the x =12 for the third day.

Number of the bricks he laid on the third day = 36

Now x = 36 for the fourth day.

Number of the bricks he laid on the fourth day = 108

Now the x = 108 for the fifth day.

Number of the bricks he laid on the fifth day = 324

Therefore, 324 bricks he has laid at the end of the fifth day.

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The quantity of time spent studying and the test result generally have a positive relationship. Therefore, the likelihood that the test score will rise as study time increases is high.

In our approach, "personal relationships" refers to close connections between people that are created by emotional ties and interactions. These connections frequently develop out of and are strengthened by shared experiences.

Having supportive social networks helps us deal with stress, resolve problems, and overcome obstacles. Over the course of our lives, we interact with a wide variety of people. This includes connections with close friends, family, coworkers, neighbors, and intimate, among others.

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Given that a square pyramid has a surface area of 10 cm², and a dilation of the pyramid has a surface area of 90 cm², we are to find the scale factor of the dilation.

Step 1: Recall the formula for the surface area of a square pyramid, which is given by: S.A. = l² + 2 × l × sHere, l is the slant height of the pyramid, and s is the length of the base.

Step 2: Let the scale factor of the dilation be k. Therefore, the new slant height of the pyramid after dilation is kl, and the new length of the base is ks.

Step 3: Recall that the surface area of a pyramid is proportional to the square of the slant height, and also proportional to the product of the slant height and the length of the base.

Therefore, we can say:S.A. ∝ (slant height)² × (base length)S.A. = k²l² + 2k²lsAnd since we know that the initial surface area is 10 cm² and the new surface area is 90 cm², we can form the equation:10 = l² + 2ls90 = k²l² + 2k²ls

Step 4: Solve for k by dividing the second equation by the first:90/10 = k²l² + 2k²ls / (l² + 2ls)9 = k²l² + 2k²ls / (l(l + 2s))9 = k² + 2ks / (l + 2s)9(l + 2s) = k²l + 2ks k² = (9l + 18s) / l² + 2sl²k² = 9(l / l² + 2s / l) + 18(s / l² + 2s / l)k² = 9 / l + 18 / s k = √(9 / l + 18 / s)

Therefore, the scale factor of the dilation is: k = √(9 / l + 18 / s)

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Answer:

1.

Step-by-step explanation:

y=19x+4

Answer:

177.755

Step-by-step explanation:

177.755 is it as a decimal

Answer:

SA = 10,800 ft²

Step-by-step explanation:

To find the surface area of a rectangular prism, you can use the equation:

SA = 2 ( wl + hl + hw )

SA = surface area of rectangular prism

l = length

w = width

h = height

In the image, we are given the following information:

l = 40

w = 60

h = 30

Now, let's plug in the information given to us to solve for surface area:

SA = 2 ( wl + hl + hw)

SA = 2 ( 60(40) + 30(40) + 30(60) )

SA = 2 ( 2400 + 1200 + 1800 )

SA = 2 ( 5400 )

SA = 10,800 ft²

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If all the data points fall on the least-squares regression line in simple linear regression this is indication of overfitting. The correct answer is E. None of the above statements are true.

In simple linear regression, if all the data points fall exactly on the least-squares regression line, it means that the regression model perfectly explains the relationship between the independent variable and the dependent variable. However, this scenario is highly unlikely in practice and is often an indication of overfitting.

Here's a breakdown of each statement:

A. F-statistic = 0: The F-statistic is used to test the overall significance of the regression model. If all data points fall on the regression line, it suggests a perfect fit, and the F-statistic would be large rather than zero.

B. MS(Regression Model) = 100%: MS stands for mean square, and this statement implies that all the variation in the dependent variable can be attributed to the regression model. However, in reality, there is typically some degree of error or residual variation that cannot be explained by the model.

C. SS(Total) = 0: SS stands for sum of squares, and SS(Total) represents the total sum of squares of the dependent variable. If all data points fall on the regression line, it would imply that there is no variation in the dependent variable, which is highly unlikely.

D. SS(Regression Model) = SS(Total): SS(Regression Model) represents the sum of squares explained by the regression model. If all data points fall on the regression line, it implies that the regression model perfectly explains all the variation in the dependent variable. However, in practice, there is typically some residual variation that cannot be explained by the model.

Therefore, none of the statements mentioned are true when all the data points fall on the least-squares regression line.

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Answer:

In explanation below.

Step-by-step explanation:

Presumably, the proof you have in mind is to use a=b=2–√a=b=2 if 2–√2√22 is rational, and otherwise use a=2–√2√a=22 and b=2–√b=2. The non-constructivity here is that, unless you know some deeper number theory than just irrationality of 2–√2, you won't know which of the two cases in the proof actually occurs, so you won't be able to give aa explicitly, say by writing a decimal approximation.

Answer:

-----------------------

It is an isosceles triangle if two sides are same.

There are two possible triangles with given values.

If the 45° is between the two 8 cm sides, then as the isosceles triangle the other two angles have the measure:

So this is an acute triangle.

If the 45° angle is opposite to 8 cm side, then the other 8 cm side also has same opposite angle measure.

Then the third angle is:

It means it is a right triangle.

A function is even if the graphic is symmetric with respect to the y-axis.

You can symbolize an even function as -f(x)=f(x) for all values of x on the domain of the function f.

A)

The expression |y| indicates that its the absolute value of y. This means that y can be positive or negative.

This function is even.

B)

In this example x is expressed as an absolute value and can be either positive or negative:

This function is symetrical with respect to the y-axis, so it an even function.

C)

This function is not symetrical with respect to the y-axis

D)

This function is not symmetrial with respect to the y-axis

If we let a = 0, b = 1, and c = 1, then the polynomial

\(x(x-1)(x^2 +\)

Since the polynomial has integer coefficients, if one of the roots is a complex number, then its conjugate must also be a root. Therefore, options A and E cannot be roots of the polynomial, since they have non-real conjugates.

We know that the polynomial has degree 4, so it has four roots in total (counting multiplicities). We also know that two of the roots are integers, so let's call them a and b. Then the polynomial can be written as:

\((x - a)(x - b)(cx^2 + dx + e)\)

where c, d, and e are integers (because they are the coefficients of the quadratic factor). We know that the leading coefficient is 1, so c must be nonzero.

Since the polynomial has two real roots, its discriminant must be nonnegative:

\(d^2 - 4ce > = 0\)

We can use this inequality to rule out some of the answer choices. For example, option C cannot be a root, because if we substitute x = 1/2 + i into the polynomial, we get:

(\((1/2 + i) - a)((1/2 + i) - b)(c((1/2 + i)^2) + d(1/2 + i) + e)\)

The real part of this expression is:

(1/4 - a + 1/4 - b)(c(1/4 - 1) + d/2 + e) = -(a + b - 1/2)(3c/4 + d/2 + e)

If we assume that a and b are integers, then this expression is an integer multiple of 3c/4 + d/2 + e. However, we can choose values of c, d, and e such that 3c/4 + d/2 + e is not an integer (for example, if c = 4, d = 1, and e = 0, then 3c/4 + d/2 + e = 4.5). Therefore, the real part of the expression cannot be zero, and option C cannot be a root.

We can also rule out option D using the same argument. If we substitute x = 1 + i/2, then the real part of the expression is:

((1 + i/2) - a)((1 + i/2) - b)(c((1 + i/2)^2) + d(1 + i/2) + e)

(1 - a + i/2)(1 - b + i/2)(c(5/4 + i) + d(3/2 + i/2) + e)

The real part of this expression is an integer multiple of c(5/4) + d(3/2) + e, which can be non-integer for some choices of c, d, and e.

Therefore, the only possible answer choices are A and B. To determine whether they are roots of the polynomial, we can use the fact that the sum and product of the roots are given by:

a + b + (complex roots) = -d/c

ab(complex roots) = e/c

We know that a and b are integers, so if we can find a polynomial with integer coefficients that has roots a, b, and either A or B, then that root is also a root of the original polynomial.

For option A, we have:

1 + i√11/2 = 2(cos(75°) + i sin(75°))

Therefore, if we let a = 0, b = 1, and c = 1, then the polynomial

\(x(x-1)(x^2 +\)

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Answer:

The bag contains $2.39

Explanation 40% of 50 coins is 20 dimes which equals 2 dollars

8 percent is 4 pennies

2.00+ .04 is 2.04

Plus 7 nickels because there are 3 more nickels than pennies 7*5= 35

2.04+.35= 2.39

Three types of molds used in metal casting are sand molds, permanent molds, and ceramic molds. For a mold sprue with given dimensions, we can determine the velocity of the molten metal at the base of the sprue, the volume rate of flow, and the time it takes to fill the mold using relevant formulas.

1. In the foundry process, several basic requirements must be met. These include selecting a suitable mold material that can withstand the high temperature of the molten metal and provide proper dimensional accuracy and surface finish. Designing an appropriate gating and riser system is crucial to ensure uniform filling of the mold cavity and allow for the escape of gases. Sufficient venting is necessary to prevent defects caused by trapped gases during solidification. Effective cooling and solidification control are essential to achieve desired casting properties. Finally, implementing quality control measures ensures the final casting meets dimensional requirements and has the desired surface finish.

2. Three common types of molds used in metal casting are as follows:

  - Sand molds: These molds are made by compacting a mixture of sand, clay, and water around a pattern. Sand molds are versatile, cost-effective, and suitable for a wide range of casting shapes and sizes.

  - Permanent molds: Made from materials like metal or graphite, permanent molds are designed for repeated use. They are used for high-volume production of castings and provide consistent dimensions and surface finish.

  - Ceramic molds: Ceramic molds are made from refractory materials such as silica, zircon, or alumina. They can withstand high temperatures and are often used for casting intricate and detailed parts. Ceramic molds are commonly used in investment casting and ceramic shell casting processes.

3. For the given mold sprue, we can determine the following parameters:

  (i) Velocity of the molten metal at the base of the sprue can be calculated using the formula V = √(2gh), where g is the acceleration due to gravity (981 cm/s²) and h is the height of the sprue (22 cm).

  (ii) The volume rate of flow can be determined using the equation Q = V1A1 = V2A2, where Q is the volume rate of flow, V is the velocity of the molten metal, and A is the cross-sectional area at the base of the sprue (2.0 cm²).

  (iii) The time to fill the mold can be calculated using the formula TMF = V / Q, where TMF is the time to fill the mold, V is the volume of the mold cavity (1540 cm³), and Q is the volume rate of flow.

By substituting the given values into the formulas and performing the calculations, we can determine the required values for (i) velocity of the molten metal, (ii) volume rate of flow, and (iii) time to fill the mold.

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Answer:

First answer = -22/15

Second answer= -10/81  

Third answer= -8/21

Step-by-step explanation:

Heyaa!!! :)))

 Answers:

- 4/5 - 2/3 = 2/5

-5/9 x 2/9 = 10/81

-1/3 divided by 7/8 = 8/21

Step-by-step explanation:

For... - 4/5 - 2/3 You Have To... To subtract fractions, find the LCD and then combine.

For... - 5/9 x 2/9 You Have To... Simplify the expression.

For... - 1/3 divided by 7/8 You Have To... Reduce the expression, if possible, by cancelling the common factors.

Hopefully this helps you!

\(Matthew\)

The solutions are

i)  x = 2

ii) Therefore, there is no integer x that satisfies the congruence.

iii) x = 2

What is the equivalent expression?

Equivalent expressions are expressions that perform the same function despite their appearance. If two algebraic expressions are equivalent, they have the same value when we use the same variable value.

i. To solve 7 × 3 = 3 (mod 11), we need to find an integer x such that 7 × 3 is congruent to 3 modulo 11.

First, we can simplify 7 × 3 by calculating 73 = 343 and then taking the remainder when 343 is divided by 11. We get:

7 × 3 = 343 = 31 × 11 + 2

So, we have:

7 × 3 = 2 (mod 11)

To solve for x, we can try multiplying both sides by the modular inverse of 7 modulo 11.

The modular inverse of 7 modulo 11 is 8, because 7 x 8 is congruent to 1 modulo 11. So, we have:

8 × 7 × 3 = 8 × 2 (mod 11)

Simplifying:

56 × 3 = 16 (mod 11)

5 × 3 = 16 (mod 11)

We can check the values of x = 2 and x = 7 to see which one satisfies the congruence:

5 × 23 = 30 = 2 (mod 11)

5 × 73 = 365 = 9 (mod 11)

So the solution is x = 2.

ii. To solve 3.14 = 5 (mod 11), we need to find an integer x such that 3.14 is congruent to 5 modulo 11.

Since 3.14 is not an integer, we cannot directly apply modular arithmetic to it.

Instead, we can use the fact that 3.14 is equal to 3 + 0.14, and try to solve the congruence for each part separately.

First, we can find an integer k such that 3 + 11k is congruent to 5 modulo 11. This means:

3 + 11k = 5 + 11m for some integer m

Simplifying:

11k - 11m = 2

Dividing by 11:

k - m = 2/11

Since k and m are integers, the only possible value of k - m is 0. Therefore, we have:

k - m = 0

k = m

Substituting k = m, we get:

3 + 11k = 5 + 11k

This is not possible, since 3 is not congruent to 5 modulo 11. Therefore, there is no integer x that satisfies the congruence.

iii. To solve x8 = 10 (mod 11), we need to find an integer x such that x8 is congruent to 10 modulo 11.

We can try raising each integer from 0 to 10 to the power of 8, and check which one is congruent to 10 modulo 11:

0⁸ = 0 (mod 11)

1⁸ = 1 (mod 11)

2⁸ = 256 = 10 (mod 11)

3⁸ = 6561 = 10 (mod 11)

4⁸ = 65536 = 1 (mod 11)

5⁸ = 390625 = 10 (mod 11)

6⁸ = 1679616 = 1 (mod 11)

7⁸ = 5764801 = 5 (mod 11)

8⁸ = 16777216 = 1 (mod 11)

9⁸ = 43046721 = 10 (mod 11)

10⁸ = 10000000000 = 1 (mod 11)

Therefore, the solutions are x = 2,

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Answer: the answer is 370/99

Answer:

- sin(x) is the ratio of the opposite leg to the hypotenuse in a right triangle, while cos(x) is the ratio of the adjacent leg to the hypotenuse in a right triangle.

-The graph of y = sin(x) at x = 0 starts at the origin, and then increases, while the graph of y = cos(x) starts at a max, and then decreases.

Here's a 3rd: sin(x) is the cofunction of cos(x), which means that sin(x) = cos(90-x). This also shows that they are different.

Step-by-step explanation:

I think it's 8.9932×10⁶

Answer:

8,993,200

Step-by-step explanation:

10^3 is 1000

8993.2 * 1000

=

8,993,200

Answer:

Step-by-step explanation:

It saids evaluate given the three different functions below: The graph f(x), the equation g(x) and the table h(x)

Answer:

4.372×10^13

Step-by-step explanation: The question is asking "How much more does this one thing weigh than this other thing?" Like how much more does my cat weigh than this bowling ball? Just that, the things are really, really, really BIG! But, we're just going to subtract the two numbers, that's all. So, unfortunately, they are asking you to "show work" bc literally, you could punch these two numbers into a calculator and hit enter. But, let's see how we can "show work"!

The iceberg is the bigger number because of the exponent 13.

4.55×10^13 is

45500000000000.

That's a mess to work with but thought you might want to know/see it.

The Rock is 1.78×10^12 which is

1780000000000.

Again, not easy to work with, but there it is.

(4.55×10^13) - (1.78×10^12)

Change both to 10^13.

(4.55×10^13)-(.178×10^13)

factor out the 10^13.

10^13(4.55 - 1.78)

subtract.

10^13(4.372)

write in scientific notation.

4.372 × 10^13

You could subtract those two crazy long numbers with all the zeros. And then convert to scientific notation. It will come out the same.

You can buy 9 bananas. There will still be 10 cents left over. This is because 3.25 divided by .35 (325÷35) you get 9 and 10 cents

Answer:

x+5y-25

Step-by-step explanation:

Slope Intercept form equation: -1/5x+5=y

Convert to General:

1. 1/5x+y=5 (move variable terms to one side)

2. x+5y=25  (multiply by five to remove fractions)

3. x+5y-25=0 (move 25 over to set equal to zero)

(a) c = 1/24

(b) c = 1/57

To determine the value of c for each function to serve as a probability distribution, we need to ensure that the sum of all probabilities equals 1.

(a) For the function f(x) = c(x^2 + 2), for x = 0, 1, 2, 3:

To find the value of c, we sum the probabilities for all possible values of x and set it equal to 1:

f(0) + f(1) + f(2) + f(3) = c(0^2 + 2) + c(1^2 + 2) + c(2^2 + 2) + c(3^2 + 2) = c(2 + 2) + c(1 + 2) + c(4 + 2) + c(9 + 2)

= 4c + 3c + 6c + 11c = 24c

We set this sum equal to 1:

24c = 1

To find the value of c, we divide both sides by 24:

c = 1/24

Therefore, for function (a), c = 1/24.

(b) For the function f(x) = c(2^x)(3^(3−x)), for x = 0, 1, 2:

We follow a similar process as in (a) to find the value of c:

f(0) + f(1) + f(2) = c(2^0)(3^(3−0)) + c(2^1)(3^(3−1)) + c(2^2)(3^(3−2))

= c(1)(3^3) + c(2)(3^2) + c(4)(3^1)

= 27c + 18c + 12c = 57c

We set this sum equal to 1:

57c = 1

To find the value of c, we divide both sides by 57:

c = 1/57

Therefore, for function (b), c = 1/57.

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The probability that a chosen student will eat fish or eggs, based on the sample of the students and the number who are vegetarians, is (b) 13/20.

There are 20 students chosen so the sample from the sample is 20 students.

The number of students who eat fish or eggs can be found to be:

= Number of students who eat both fish and eggs + Students who eat eggs but not fish + Students who eat fish but not eggs

= 9 + 3 + 1

= 13 students

The probability that a student eats either fish or eggs is:

= number of students who eat fish or eggs / chosen students

= 13 / 20

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The series diverges with an integral of 1/ln(16) and the series converges with an integral of 1/4 and a sum of 1/2.

We can use the integral test to determine the convergence of the series ∑n=1∞ 1/6n. The integral of the function f(x) = 1/6x is:

\(∫f(x) dx = (1/6) ln(x) + C\)

Using the limits of integration from 1 to ∞, we get:

∫1∞ f(x) dx = (1/6) ln(∞) - (1/6) ln(1) = ∞

Since the integral diverges, the series also diverges.

We can use the integral test to determine the convergence of the series ∑n=1∞ \((n+4)/(n^2+8n+4\)). The integral of the function f(x) = \((x+4)/(x^2+8x+4)\) is:

∫f(x) dx = (1/2) ln(x^2 + 8x + 4) + 3 ln|x + 4| + C

Using the limits of integration from 1 to ∞, we get:

∫1∞ f(x) dx = (1/2) ln(∞) + 3 ln(∞ + 4) - (1/2) ln(13) - 3 ln(5) = ∞

Since the integral diverges, the series also diverges.

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If your argument leads to a misleading conclusion, it is probably unsound. It is also conceivable that the argument is sound but has a wrong premise.

If an argument has a faulty conclusion, either the premises are incorrect or the conclusion does not flow logically from the premises. This indicates that the reasoning is flawed.

An argument is deemed sound if all of its premises are true and it is valid (that is, the conclusion flows logically from the premises). Whether or not the conclusion is correct, the argument is flawed if any of the premises are untrue.

As a result, if your argument leads to a misleading conclusion, it is probably unsound. It is also conceivable that the argument is sound but has a wrong premise, in which case it is invalid.

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