cho x+y=3; xy=2 tính x2+y2

There is a need to randomly sample at least 105 players from the team to estimate the mean weight with a 95% confidence interval half-width of at most 4.73 pounds.

To determine the sample size needed for a given half-width of a confidence interval, we need to use the formula:

n = \((Z*σ / E)^2\)

where:

n = sample size

Z = the Z-score associated with the desired level of confidence (e.g., for 95% confidence, Z = 1.96)

σ = the population standard deviation (if unknown, we can use the sample standard deviation as an estimate)

E = the maximum desired half-width of the confidence interval

Without additional information, we cannot determine the population standard deviation. However, we can use a conservative estimate based on the maximum range of the data. Suppose the maximum range of the player's weight is 100 pounds, then we can use a standard deviation of σ = 100/4 = 25 pounds (assuming a normal distribution).

Using the given half-width of E = 4.73 pounds and a desired confidence level of 95%, the Z-score is 1.96.

Substituting these values into the formula, we get:

n = \((Zσ / E)^2\) = \((1.9625 / 4.73)^2\) ≈ 105

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Answer:

I think its - i

Step-by-step explanation:

Answer:

The dot stands for multiplication!

Answer:

\(14. \: \: \: m {}^{4} - 16 \\ = (m {}^{2} -4)(m {}^{2} + 4) \\ = (m - 2)(m + 2)(m {}^{2} + 4) \\15. \: \: \: x {}^{2} + 4xy + 4y {}^{2} - 4z {}^{2} \\ (x + 2y) {}^{2} - 4z {}^{2} \\ (x + 2y - 2z)(x + 2y + 2z) \\ 16. \: \: m {}^{4} + m {}^{2} - 12 \\ (m {}^{4} + 4m {}^{2} )( - 3m {}^{2} - 12) \\ m {}^{2} (m {}^{2} + 4) - 3(m {}^{2} + 4) \\ (m {}^{2} + 4)(m {}^{2} - 3) \\ \)

The sample will remain after 5000 years is 1.14mg and it will take 0.7 years will only 18 mg of the sample remain

Look for a function that describes the mass that is left after t years.

Using the radioactive decay model mt = m0e^-rt:

m0 = 23mg, r=(ln2/1600) = -0.00043

A rate cannot be negative.

You probably mean r=0.00043

m(t) = 23e^-0.00043t

a) After 5000 years, how much of the sample will still be there?

t = 4000

m(4000) = 23e^(-0.00043)(5000) = 1.14 mg

(b) How long will it be till only 18 mg of the sample are left?

m(t) = 23e^-0.00043t

18 = 23e^-0.00043t

18/23 = e^-0.00043t

0.78/0.99 = t

t = 0.7 years

Hence, Only 1.14 mg of the sample will be left after 5000 years, and it will take 0.7 years for only 18 mg to be left.

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Answer:

the simplified expression for 2x + 1/3 + 4x - 2/2 is 6x - 2/3.

Step-by-step explanation:

To solve the expression 2x + 1/3 + 4x - 2/2, we need to combine like terms and simplify the expression.

First, let's combine the terms with the same variable, which are 2x and 4x:

2x + 4x = 6x

Next, let's simplify the fractions. We need to find a common denominator for 1/3 and 2/2, which is 6. We'll rewrite the fractions with the common denominator:

1/3 = 2/6

2/2 = 6/6

Now, let's rewrite the expression with the combined terms and simplified fractions:

6x + 2/6 - 6/6

Next, subtract the fractions with the same denominator:

6x + (2/6 - 6/6)

The numerator of the first fraction (2/6) needs to be subtracted from the numerator of the second fraction (6/6). This gives us:

6x + (-4/6)

Simplify the fraction:

6x - 4/6

Now, we can simplify further by dividing both the numerator and denominator of the fraction by their greatest common divisor, which is 2:

6x - 2/3

Therefore, the simplified expression for 2x + 1/3 + 4x - 2/2 is 6x - 2/3.

Average area of the cross section plane of the solid which lies between the two parallel planes is equal to 197.4square feet.

As given in the question,

Number of parallel planes = 2

Distance between two parallel planes = 22 feet

Volume of the solid is equal to 4343 cubic feet

Let 'x' be the average area of cross section of the solid lies between two parallel planes.

Average area of cross section of the solid lies between two parallel planes  = Volume of the solids / Distance between two parallel planes

⇒ x = 4343/22 square feet

⇒ x = 197.4 square feet

Therefore, the average area of the cross section of the solid lies between two parallel plane is equal to 197.4 square feet.

The complete question is:

A solid lies between two parallel planes 22 feet apart and has a volume of 4343 cubic feet. What is the average area of cross-sections of the solid by planes that lie between the given ones?

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Given,

The expression of inequality is:

Required:

The graph of the inequality expression.

Simplifying the inequality expression,

The graph of inequality expression is:

Hence, the graph of the equation obtained.

the option tray days subtract 4 from both sides.

Part A

\(4x^2 -7x-15=0\\\\(4x+5)(x-3)=0\\\\x=-\frac{5}{4}, 3\)

So, the x-intercepts are \(\boxed{\left(-\frac{5}{4}, 0 \right), (3,0)}\)

Part B

The vertex will be a minimum because the coefficient of \(x^2\) is positive.

The x-coordinate of the vertex is \(x=-\frac{-7}{2(4)}=\frac{7}{8}\)

Substituting this back into the function, we get \(f\left(\frac{7}{8} \right)=4\left(\frac{7}{8} \right)^2 -7\left(\frac{7}{8} \right)^2 -15=-\frac{289}{16}\)

So, the coordinates of the vertex are \(\boxed{\left(\frac{7}{8}, -\frac{289}{16} \right)}\)

Part C

Plot the vertex and the x-intercepts and draw a parabola that passes through these three points.

The graph is shown in the attached image.

Based on the projected sales of 1,400 total vehicles for the next year, the demand for each season can be determined. The demand for each season is as follows: 350 vehicles in winter, 350 vehicles in spring, 175 vehicles in summer, and 525 vehicles in fall.

To calculate the demand for each season, we can use the past sales data as a reference. In the past, the dealership sold an average of 1,200 vehicles each year. However, in the past two years, the sales figures were 220 and 260 in winter, 350 and 300 in spring, 150 and 160 in summer, and 300 and 660 in fall.

To estimate the demand for each season based on the projected sales of 1,400 vehicles for the next year, we can calculate the proportion of each season's sales compared to the total sales in the past. This gives us the following estimates: 350 vehicles in winter (25% of 1,400), 350 vehicles in spring (25% of 1,400), 175 vehicles in summer (12.5% of 1,400), and 525 vehicles in fall (37.5% of 1,400).

These estimates are based on the assumption that the sales distribution in the future will be similar to the past trends. However, it's important to note that actual market conditions and other factors may influence the demand for each season, so these estimates should be used as a rough guide and may require adjustment based on specific circumstances.

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Answer:

No

Step-by-step explanation:

x=(b-5)/c≠(5-b)/c

supposedly

b=6

c=1

x=6-5/1=1

x=5-6/1= -1

1≠ -1

Answer:

No

Step-by-step explanation:

x = b - 5 / L equal to - (5 - b) / L

Answer:

  maybe

Step-by-step explanation:

You can always combine like terms, before or after any application of the distributive property.

  x(3 +4) = 3x +4x = 7x . . . . . terms combined after distributing x

  (x +1)(x +2) = x^2 +1x +2x +1 = x^2 +3x +1 . . . . . terms combined after using the distributive property

  x(3 +4x) = 3x +4x^2 . . . . . . terms cannot be combined (unlike terms)

Answer:

Quick Mart

Step-by-step explanation:

3 apples for $1.29 equals about 43 cent per apple, while the apples at Stop and Save are 50 cent per apple

Answer:

the quick market

Step-by-step explanation:

the quick make is the better buy because you get each apple for .43 and at stop and save you get each apple for .50

Answer:

Step-by-step explanation:

The factored form, use variables/numbers outside the square:

The standard form, use variables/numbers inside the square:

Factored form

Simplify to standard form

The probability of picking 5 vowels and 1 constant when 6 letters are picked with replacement from a set of alphabet tiles is 2.12.

To find the probability of picking 5 vowels and 1 constant when 6 letters are picked with replacement from a set of alphabet tiles:

Given:

To find:

The probability of picking 5 vowels:

The probability of picking 1 consonant:

The probability of picking 5 vowels and 1 consonants:

Therefore, the probability of picking 5 vowels and 1 constant when 6 letters are picked with replacement from a set of alphabet tiles is 2.12.

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The instance in question was chosen at random assignment.

Given statement;

Participants should be selected by chance for an experimental or control group so each has an equal probability of being assigned to any of the groups.

The given case is done by Random assignment.

In Mathematical experiments, random assignment refers to the use of chance processes to ensure that each participant has an equal chance of being assigned to any particular group. Participants in studies are divided into several groups at random, such as the experimental group or the treatment group.

It is known as random assignment.

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Answer:

positive 1/2

Step-by-step explanation:

Answer:

0.5

Step-by-step explanation:

3-2/0-2= 0.5

Answer: I believe it is 10^5

Step-by-step explanation:

Answer:

ADE = 63°

Step-by-step explanation:

One thing at a time. We can start telling that triangle ADE is isosceles, of baseAD. Means the two angles EAD e ADE are congruent, and each measures  \(\frac {180-54}2 = 63°\).

Now look at angles EDA and ECB. They are corresponding angles relative to the parallels DA and CB, so they are congruent. Measure of angle C is the same of measure of angle ADE = 63°

Edit: I've been asked for the rest of the measures. Purple ones are the one you find during the exercize. Red ones are the remaining. External ADC is supplementary to ADC (it's an external angle) angle BAD is alternate to ADE respect to the two parallels AB and CE, so they are congruent. Angle ABC is supplementary to angle BCD since they're internal conjugate relative to the same two parallels.

Considering the dot plot and visual inspection, it is likely that group B has a lower mean. The reason for this is because it has a higher proportion of it's measures to the left of the dot plot than group A.

The mean of a data-set is given by the sum of all observations in the data-set divided by the cardinality of the data-set, which represents the number of observations in the data-set.

The dot plot shows the number of instances that each observation appeared in the data-set, hence we use it to identify the position of the measures.

Group B has more dots at the left of the graph, meaning that the smaller measures are more common than in group A, and thus it more than likely has a lower mean.

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In simple harmonic motion, the number of cycles per second of a point is its frequency. Here's a step-by-step explanation:

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Answer:

-24f+72

Step-by-step explanation:

You distribute the -8 to 3f and -9 by multiplying.    -8*3f=-24f    -8*-9=72

−24+72

Step-by-step explanation:

Light is about 874052.5 times faster than sound

From the question, we are to determine the magnitude by which light is faster than sound

From the given information,

The speed of light is about 2.998 x 10⁸ meters per second.

and

The speed of sound is about 343 meters per second.

To determine how many rimes faster the speed of light is than the speed of sound, we will divide the speed of light by the speed of sound

That,

The magnitude by which light is faster than sound = (2.998 x 10⁸) / 343

The magnitude by which light is faster than sound = 874052.5

Hence, light is about 874052.5 times faster than sound

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The bearing from C to A of the given travel path is gotten as; 100.63°

From the bearing image attached, we can use trigonometric ratios to get;

tanx = opp/adj

x = 53 + θ ---------- eqn(1)

opp = 119

adj = 59

Thus;

tan x = 119/59

tan x = 2.0169

x = tan⁻¹(2.0169)

x = 63.63°

From eqn (1), we have;

θ = x - 53

θ = 63.63 - 53

θ = 10.63°

Thus, the bearing from C to A = 90 + 10.63 = 100.63°

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Answer:

(x,y)=(-10/3+8r/3,4r t 1)

Step-by-step explanation:

乁( •_• )ㄏMe da wuebo escribir todo la explicación

Answer:

31

Step-by-step explanation:

25/0.80=31.25

(You cant have a quarter of a parking space.)

In a genogram, various symbols and lines represent different aspects of a person's familial relationships and attributes. Here's a breakdown of the symbols you mentioned:

1. Square: A square in a genogram indicates a male individual. It represents the person's gender and is used to distinguish between male and female family members.

2. Circle: A circle in a genogram indicates a female individual. It represents the person's gender and is used to distinguish between male and female family members.

3. Solid horizontal line: A solid horizontal line in a genogram represents a marital relationship between two individuals. The line connects a square (male) and a circle (female) to show that they are married or in a committed partnership.

4. Broken line: A broken line in a genogram represents a non-blood relationship, such as an adoptive parent-child relationship or a step-sibling connection. It is used to show relationships that are not based on biological ties.

5. X through a square/circle: An X through a square or a circle indicates that the individual is deceased. This symbol is used to show that the person has passed away and is no longer living.

6. Solid vertical line: A solid vertical line in a genogram represents a parent-child relationship. It connects an individual (either a square or circle) to their parent(s), showing the biological connection between the family members.

These symbols and lines help provide a visual representation of a person's family history and relationships, making it easier to analyze and understand the various connections within a family tree.

Overall, a genogram is a visual representation of a family tree that includes important information about relationships, health issues, and other relevant details. By understanding the various symbols and indicators used in a genogram, it is possible to gain a deeper understanding of family dynamics and relationships, as well as potential risk factors for various health conditions. As such, genograms are an important tool for healthcare providers, therapists, and other professionals working with individuals and families.

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To evaluate the line integral F.dr using the given potential function o of the gradient field F and the curve C, we can use two methods: the first is to directly evaluate the integral using the parameterization of the curve and the second is to use the Fundamental Theorem of Calculus for Line Integrals.

In this case, we have the potential function o(x, y, z) = xy + xz + yz and the curve C given by r(t) = (t, 2t, 3t) for t between 0 and 1. Using the first method, we can substitute the parameterization of the curve into the integral F.dr and evaluate it directly. We have:

F.dr = (xy + xz + yz)(dx/dt, dy/dt, dz/dt)dt

= (2t^2 + 3t^2 + 6t^2)(1, 2, 3)dt

= (11t^2)(1, 2, 3)dt

Integrating this from 0 to 1, we get:

F.dr = ∫_0^1 (11t^2)(1, 2, 3)dt = (11/2, 11, 33/2)

Using the second method, we can apply the Fundamental Theorem of Calculus for Line Integrals, which states that the line integral of a conservative field along a curve C depends only on the endpoints of C and the values of a potential function at these endpoints. Since we have a gradient field F, it is conservative, and we can find the potential function o by integrating the components of F. We have:

Fx = y + z

Fy = x + z

Fz = x + y

Integrating the first component with respect to x, we get:

o(x, y, z) = ∫ (y + z)dx = xy + xz + h(y, z)

Taking the partial derivative of this expression with respect to y, we get:

∂o/∂y = x + ∂h/∂y = x + z

Comparing this with the second component of F, we get:

x + z = x + z

Therefore, h(y, z) = yz, and we have:

o(x, y, z) = xy + xz + yz

Using the potential function, we can evaluate the line integral F.dr by computing the difference of the potential function at the endpoints of the curve. We have:

F.dr = o(r(1)) - o(r(0))

= o(1, 2, 3) - o(0, 0, 0)

= (2 + 3 + 6) - (0 + 0 + 0)

= 11

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Based on the temperature at 6:00 am and the temperature at 6:00pm, the change in temperature can be shown by the formula D. |–5 – 7| = |–12| = 12°F.

To find the change in temperature, you need to subtract the temperature at 6: 00 pm from the temperature at 6: 00 am.

The change in temperature is therefore:

= | temperature at 6 am - temperature at 6pm |

= | -5 - 7 |

= | - 12 °F|

The absolute value of - 12 °F is 12 °F which was therefore the change in temperature.

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