(-x-y+2z = −21
(5x-3y - 2z=-23
If the equations above are true, which of the following is a value of X-Y?
A:5
B:16
C:-11
D:0
E:21

Answer:

Step-by-step explanation:

Price assuming he bought all large flags: \(20*8=160\)

Amount of money more: \(160-112=48\)

Difference of price in both flags: \(20-12=8\)

Medium Flags: \(48\div8=6\)

Large Flags: \(8-6=2\)

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

The reason why this works, is because the amount of money more comes from the difference between both flags.

Answer:

The correct answer is B. 20,000

Step-by-step explanation:

To determine the man's total monthly salary, we can set up a simple equation using the given information. Let's denote the total monthly salary as "x."

According to the information provided, 33% of the man's monthly salary is equal to Birr 6600. We can express this relationship mathematically as:

0.33x = 6600

To solve for "x," we need to isolate it on one side of the equation. We can do this by dividing both sides of the equation by 0.33:

x = 6600 / 0.33

Evaluating the right side of the equation gives:

x ≈ 20,000

Therefore, the man's total monthly salary is approximately Birr 20,000.

Hence, the correct answer is B. 20,000.

The probability density, ∣Ψ(x,t)∣ 2 for a quantum mechanical wave function, Ψ(x,t) is equal to\(f(x) + g(x) cos 3ωt.\) We have to expand f(x) and g(x) in terms of sin x and sin 2x.How to expand f(x) and g(x) in terms of sinx and sin2x.

Consider the function f(x), which can be written as:\(f(x) = A sin x + B sin 2x\) Using trigonometric identities, we can rewrite sin 2x in terms of sin x as: sin 2x = 2 sin x cos x. Therefore, f(x) can be rewritten as\(:f(x) = A sin x + 2B sin x cos x\) Now, consider the function g(x), which can be written as: \(g(x) = C sin x + D sin 2x\) Similar to the previous case, we can rewrite sin 2x in terms of sin x as: sin 2x = 2 sin x cos x.

Therefore, g(x) can be rewritten as: g(x) = C sin x + 2D sin x cos x Therefore, the probability density, ∣Ψ(x,t)∣ 2, can be written as follows\(:∣Ψ(x,t)∣ 2 = f(x) + g(x) cos 3ωt∣Ψ(x,t)∣ 2 = A sin x + 2B sin x cos x\)To plot the functions.

We can use Matlab with the following code:clc; clear all; close all; x = linspace(0,pi,1000); \(A = 3; B = 2; C = 1; D = 4; Psi1 = (A+C).*sin(x) + 2.*(B+D).*sin(x).*cos(x); Psi2 = (A+C.*cos(pi/6)).*sin(x) + 2.*(B+2*D.*cos(pi/6)).*sin(x).*cos(x); Psi3 = (A+C.*cos(pi/3)).*sin(x) + 2.*(B+2*D.*cos(pi/3)).*sin(x).*cos(x); plot(x,Psi1,x,Psi2,x,Psi3) xlabel('x') ylabel('\Psi(x,t)')\) title('Probability density function') legend\(('\Psi(x,t) when t = 0','\Psi(x,t) when 3\omegat = \pi/6','\Psi(x,t) when 3\omegat = \pi')\) The plotted functions are attached below:Figure: Probability density functions of ∣Ψ(x,t)∣ 2 when \(t=0, 3ωt=π/6 and 3ωt=π.\)..

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Answer:

2n - 7 = 3n - 3

Step-by-step explanation:

Just count the n's and the (-1)'s

Answer:

g = - 3

Step-by-step explanation:

20 + g + g = 14 , that is

20 + 2g = 14 ( subtract 20 from both sides )

2g = - 6 ( divide both sides by 2 )

g = - 3

Answer:

Step-by-step explanation:

20+g+g=14 we can make this into

20+2g=14 our job is to single out g to find the value of one g so subtract 20 from both sides

20+2g=14

-20      -20

2g=-6 divide both sides by 2 to get the value of one g

÷2   ÷2

g=-3

Answer:

3. 3:12 part to whole

Step-by-step explanation:

because there are 3 Reese's & 12 pieces of candy in total so it would be part of the candy to the entire bag of candy.

For a continuous random variable x, the probability of x taking on a specific value a is zero. This is due to the infinite number of possible values that x can take on within its range.

In the case of a continuous random variable, the probability density function (PDF) describes the likelihood of x taking on different values. Unlike discrete random variables, which can only take on specific values with non-zero probabilities, a continuous random variable can take on an infinite number of values within a given range. Therefore, the probability of x being equal to any specific value, such as a, is infinitesimally small, or mathematically speaking, it is equal to zero.

To understand this concept, consider a simple example of a continuous random variable like the height of individuals in a population. The height can take on any value within a certain range, such as between 150 cm and 200 cm. The probability of an individual having exactly a height of, say, 175 cm is extremely low, as there are infinitely many possible heights between 150 cm and 200 cm.

Instead, the probability is associated with ranges or intervals of values. For example, the probability of an individual's height being between 170 cm and 180 cm might be nonzero and can be calculated using integration over that interval. However, the probability of having an exact height of 175 cm, as a single point on the continuous scale, is zero.

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The function f(x) = 8 - x^3/8 is a polynomial function of degree 3.

To see why, note that a polynomial function is a function of the form f(x) = a_n x^n + a_{n-1} x^{n-1} + ... + a_1 x + a_0, where n is a non-negative integer and a_n, a_{n-1}, ..., a_1, a_0 are constants (coefficients). In this case, we have:

f(x) = 8 - x^3/8

= 8 - (1/8)x^3

= 0x^4 + 0x^3 + (-1/8)x^2 + 0x + 8

Thus, we can write f(x) as a polynomial function with degree 3, since the highest power of x that appears is x^3.

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The value of N is 28.

A mathematical statement that has a "equal to" symbol between two expressions with equal values is called an equation.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. We have LHS = RHS (left hand side = right hand side) in every mathematical equation. To determine the value of an unknown variable that represents an unknown quantity, equations can be solved.

According to the question,

a+b+c=60

a-7=N

b+7=N

7c=N

From the above three equations,

a=N+7

b=N-7

c=N/7

So, N+7+N-7+N/7=60

2N+N/7=60

14N+N=420

15N=420

N=28

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Answer:

a = 1/4

Step-by-step explanation:

To solve for a, you need to isolate it by dividing both sides by 28.

7/28 = 1/4

a = 1/4

Check your answer by plugging x = 1/4 back into the equation.

28(1/4) = 7

7 = 7

Your answer is correct.

Hope this helps!

Checking for approximate normality in the population is essential for constructing a valid confidence interval, particularly when dealing with small sample sizes. This ensures the accuracy and reliability of the interval in estimating the true population parameter.

It's important to check whether the population is approximately normal before constructing a confidence interval because the accuracy and validity of the interval depend on the underlying distribution of the population. Here's a step-by-step explanation:

1. A confidence interval is a range of values within which the true population parameter (e.g., mean or proportion) is likely to fall, with a certain level of confidence (e.g., 95% or 99%).

2. The process of constructing a confidence interval relies on the Central Limit Theorem, which states that, for large sample sizes, the sampling distribution of the sample mean will be approximately normal, regardless of the population distribution.

3. However, for small sample sizes, the distribution of the population needs to be approximately normal in order to obtain an accurate confidence interval. This is because the normality assumption is crucial for the proper interpretation of the interval.

4. If the population is not approximately normal, the confidence interval may not provide a reliable estimate of the true population parameter, leading to incorrect conclusions and potentially invalid results.

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Answer:

(i) The surface(sheet) of a conical tent is circular so we must use the formula for the area of a circle to find out;

Given the diameter 14, we must find the radius.

To find the radius we must do 1/2 of the diameter to get the radius.

14 x 1/2 = 7, is the radius

Formula for area of a circle;

a = πr^2

where pi is 3.14 or 22/7, r is the radius which is being squared

Plug in the actual values:

a = πr^2

a = 3.14 x 7^2

a = 3.14 x 49

a = 153.86 square meters, is the area of the conical tent's sheet.

(ii) Since there are 153.86 meters in one sheet, we should multiply that by         $12(because $12 per meter) to get the total cost.

So,

153.86 meters x $12 = $1,846.32, it would cost 1,846.32 dollars.

18. An infant weighs 11 pounds which is equivalent to 4.98 kg. Using the 100/50/20 Rule, the required amount of fluid per day for an infant between 11-20 kg is 50 ml/kg/day. So, the required amount of fluid per day in ml is 4.98 kg x 50 ml/kg/day = 249 ml/day.

19. A child weighs 31lbs and 8 ozs which is equivalent to 14.21 kg. Using the 100/50/24 Rule, the required amount of fluid per day for a child over 20 kg is 20 ml/kg/day. So, the required amount of fluid per day in ml is 14.21 kg x 20 ml/kg/day = 284.2 ml/day.

If no oral fluids are consumed, the hourly IV flow rate to maintain proper hydration would be: 284.2 ml/day / 24 hours/day = 11.8 ml/hour.

The question is about fluid requirements for infants and children, and it is using the 100/50/20 Rule for Daily Fluid Requirements (DFR) to calculate the required amount of fluid per day for different weight ranges. The 100/50/20 Rule is a guideline used to determine the appropriate amount of fluid that infants and children should receive on a daily basis based on their weight. The rule states that for infants and children up to 10 kg, the recommended fluid intake is 100 ml/kg/day, for those between 11-20 kg it is 50 ml/kg/day, and for those over 20 kg it is 20 ml/kg/day.

The question also asking about the hourly IV flow rate to maintain proper hydration if no oral fluids are consumed.

This subject is part of pediatrics, more specifically in the field of fluid and electrolyte balance and management.

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The solution is:  the number of total combinations is 24+30=54.

We know that Peg has 4 long-sleeve shirts, 5 short-sleeve shirts, and 6 pairs of pants. We assume that she is going to wear a shirt and a pair of pants.

First, we calculate the number of combinations for a pants and long-sleeve shirts. She have 6 pairs of pants and 4 long-sleeve shirts.  

We get: 6 · 4 = 24

Now, we calculate the number of combinations for a pants and  short-sleeve shirts. She have 6 pairs of pants and 5 short-sleeve shirts.  

We get: 6 · 5 = 30

So the number of total combinations is 24+30=54.

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complete question:

Peg has 4 long-sleeve shirts, 5 short-sleeve shirts, and 6 pairs of pants. (a) How many different ways can Peg dress (assuming she is going to wear a shirt and a pair of pants)

Answer:

The function is neither odd, nor even

Step-by-step explanation:

It is because an even function is always symmetrical in respect with the y axis

It is because an odd function is always symmetrical in respect with the origin

Answer:

$8

Step-by-step explanation:

The particular antiderivative that satisfies the given condition is: C(x) = (4/9)x^4 - (9/8)x^3 + K1x + 2000

To find the particular antiderivative (or integral) of the given derivative \(C''(x) = 4x^2 - 3x\)  that satisfies the condition C(0) = 2000, we need to integrate the given function twice.

First, we integrate C''(x) to find C'(x):

\(C'(x) = ∫ (4x^2 - 3x) dx\)

To find the antiderivative of \(4x^2\), we use the power rule for integration: the power of x increases by 1 and is divided by the new power. Similarly, the antiderivative of -3x is \(-(3/2)x^2\).

\(C'(x) = ∫ (4x^2 - 3x) dx = (4/3)x^3 - (3/2)x^2 + K1\)

Here, K1 is the constant of integration. Next, we integrate C'(x) to find C(x):

\(C(x) = ∫ (C'(x)) dx = ∫ ((4/3)x^3 - (3/2)x^2 + K1) dx\)

To find the antiderivative of \((4/3)x^3\), we again use the power rule for integration. Similarly, the antiderivative of \(-(3/2)x^2\) is \(-(3/2)(1/3)x^3\).

The constant of integration K1 will also be integrated with respect to x, resulting in another constant of integration, K2.

\(C(x) = (1/3)(4/3)x^4 - (1/2)(3/2)x^3 + K1x + K2\)

Simplifying further, we have:

\(C(x) = (4/9)x^4 - (9/8)x^3 + K1x + K2\)

Now, we can apply the initial condition C(0) = 2000 to find the particular solution for K2:

\(C(0) = (4/9)(0)^4 - (9/8)(0)^3 + K1(0) + K2 = 2000\)

Since all the terms involving x become zero when x = 0, we have:

K2 = 2000

Therefore, the particular antiderivative that satisfies the given condition is: \(C(x) = (4/9)x^4 - (9/8)x^3 + K1x + 2000\)

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Answer:

the vertex is (-5/2, -1/4), the AOS is x = -5/2, and the x-intercepts are -4 and -1.

The probability that exactly five students among the 12 visiting Mexico will contract a stomach virus is approximately 0.2173 and the probability that more than two students among the 12 visiting Mexico will contract a stomach virus is approximately 0.4866.

What is probability?

Probability is a branch of mathematics that deals with quantifying the likelihood or chance of an event occurring.

Probability that exactly five students contract a stomach virus:

Using the binomial probability formula, we have:

\(P(X = 5) = (12C5) * (0.23^5) * (0.77^7)\)

\(P(X = 5) = (792) * (0.23^5) * (0.77^7)\)

P(X = 5) ≈ 0.2173 (rounded to four decimal places)

Therefore, the probability that exactly five students among the 12 visiting Mexico will contract a stomach virus is approximately 0.2173.

Probability that more than two students contract a stomach virus:

We need to calculate the probabilities of three, four, and five students contracting a stomach virus and then sum them up.

P(X > 2) = P(X = 3) + P(X = 4) + P(X = 5)

Using the binomial probability formula for each case:

\(P(X = 3) = (12C3) * (0.23^3) * (0.77^9)\\\\P(X = 4) = (12C4) * (0.23^4) * (0.77^8)\)

P(X = 5) ≈ 0.2173 (calculated previously)

Now, let's calculate each probability and sum them up:

P(X > 2) = P(X = 3) + P(X = 4) + P(X = 5)

\(P(X > 2) = (12C3) * (0.23^3) * (0.77^9) + (12C4) * (0.23^4) * (0.77^8) + 0.2173\)

P(X > 2) ≈ 0.4866 (rounded to four decimal places)

Therefore, the probability that more than two students among the 12 visiting Mexico will contract a stomach virus is approximately 0.4866.

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Answer:

9

Step-by-step explanation:

Let Benjamin's age be=x.

Let Lucas's age be=y.

Then, x=2y-6

When x=12, 12+6=2y.

18/2=y, y=9

If c = 14.4, the relationship is exponential. \(a_1\)= 10 and \(a_n\)+1 = \(a_n\)+ 1.2 for n = {1, 2, 3, ...) is not correct.

Thus, option (D) is correct.

A) If c = 14, the relationship is linear and f(x) = 2x + 8 for x = {1, 2, 3, ...}.

This statement defines a linear relationship, where the function f(x) = 2x + 8.

It's correct if c = 14.

B) If c = 14, the relationship is linear and an = 10 + 2(n - 1) for n = {1, 2, 3, ...).

This statement also defines a linear relationship, where the nth term (an) is given by an = 10 + 2(n - 1).

C) If c = 14.4, the relationship is exponential and f(x) = 10(1.2)(x - 1) for x = {1, 2, 3, ...).

This statement defines an exponential relationship, where the function f(x) = \(10(1.2)^{(x - 1)\).

It's also correct if c = 14.

D) If c = 14.4, the relationship is exponential. \(a_1\)= 10 and \(a_n\)+1 = \(a_n\)+ 1.2 for n = {1, 2, 3, ...).

This statement defines an exponential relationship.

This is not correct.

Thus, option (D) is correct.

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16 bit strings of length five either start with two zeros or end with two zeros are there; 32 bit strings of length six either do not start with two zeros or do not end with two zeros are there; 16 bit strings of length seven either start with four ones or end with four ones are there and 256

bit strings of length eight do not start with a one or do not end with a one are there.

A string is a combination which is made up of only two characters, either 1 or 0.

So, the combinations of the string can be found,

If the length of the bit string is 5, it means it will have 5 characters.

If this string either start with two zeroes or end with two zeroes. It mean there are only three positions are remaining which have two choices available for each place.

So, the total bit strings possible are,

= 2×(1×1×2×2×2)

= 16

16 such bit strings are possible.

If the length of the bit string is 6, it means it will have 6 characters.

If this string either do not start with two zeroes or do not end with two zeroes. It mean there are only four positions are remaining which have two choices available for each place.

So, the total bit strings possible are,

= 2×(1×1×2×2×2×2)

= 32

So, 32 such strings are possible.

Now, If the length of the bit string is 7, it means it will have 7 characters.

If this string either start with four ones or end with four ones. It mean there are only three positions are remaining which have two choices available for each place.

So, the total bit strings possible are,

= 2×(1×1×1×1×2×2×2)

= 16

So, 16 such strings are possible.

If the length of the bit string is 8, it means it will have 8 characters.

If this string either do not start with one and do not end with one. It mean there are only seven positions are remaining which have two choices available for each place.

So, the total bit strings possible are,

= 2×(1×2×2×2×2×2×2×2)

= 256

So, 256 such strings are possible.

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she can buy 3 Blue Gouramis and 3 Clown Loaches.

The hourly wage in 10 years = $12.37,  In this scenario, automobile plant workers' hourly wages increased from $6.10 to $8.58 over a period of 7 years, with the wages growing exponentially.

To calculate their hourly wage in 10 more years, we will use the exponential growth formula:

Final Amount = Initial Amount * (1 + Growth Rate)^Years

First, we need to find the annual growth rate. To do this, we can rearrange the formula as follows:

Growth Rate = [(Final Amount / Initial Amount)^(1 / Years)] - 1

Plugging in the given values:

Growth Rate = [(8.58 / 6.10)^(1 / 7)] - 1
Growth Rate ≈ 0.0476

Now that we have the annual growth rate, we can calculate their hourly wage in 10 more years:

Hourly Wage in 10 Years = 8.58 * (1 + 0.0476)^10
Hourly Wage in 10 Years ≈ $12.79

Therefore, the automobile plant workers' hourly wage will be approximately $12.79 in 10 more years, assuming their wages continue to grow exponentially at the same rate.

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Answer: 7e-5 millimeters, and the nanometer scale is more appropriate

Step-by-step explanation: PLEASE MARK ME BRAINLIEST!!!!!!

-divide the length value by 1e+6

-The millimeter scale and the centimeter scale are two huge, while the nanometer scale is too small. The nanometer scale is often used to measure atoms and viruses.

Answer:

a) The length of the virus in millimetres is 0.000 07 mm.

b) Viruses are microscopic and so nanometres are the more appropriate unit for writing the length of the virus since the nanometre is a smaller unit of measurement than the millimetre.

Step-by-step explanation:

SI is the abbreviation for The International System of Units.

The SI base unit for length is metres (m).

Milli and nano are SI prefixes used to form decimal multiples or submultiples of SI units.

Therefore, to convert nanometres to millimetres, multiply the nanometres by 10⁻⁶:

So 70 nanometres is:

Viruses are microscopic and so nanometres are the more appropriate unit for writing the length of the virus since the nanometre is a smaller unit of measurement than the millimetre.

Answer:

What kind of math? I'm not that good at the hard math subjects, but I still don't mind helping out if I can.

Answer:

30

Step-by-step explanation:

60/40=3/2

105/40+x = 3/2

105/70=3/2

x=70-40 = 30

Answer:

x = 30

Step-by-step explanation:

60/40 = 45/x

Cross multiply.

60x = 40 × 45

60x = 1800

Divide both sides by 60.

x = 1800/60

x = 30