a sports team has 99 jerseys numbered 1, 2, 3, . . . , 99. show your work for each part. (a) (2 points) how many ways are there to choose 2 different jerseys, without order, such that their numbers sum to 100?

Answer:

0.80

4/5 is equal to 80%.

80% as a decinal is 0.80.

The answer is 0.80.

Answer:

The answer is 0.8

Step-by-step explanation:

We get that 636 voters should be sampled for a 90% confidence interval.

The Central Limit Theorem is a cornerstone of statistics, and it states that regardless of the population's underlying distribution, as sample size grows, the distribution of sample means of independent variables with similar distributions approaches a normal distribution. In other words, the Central Limit Theorem offers a method for approximating population behavior by examining sample behavior.

This theorem is significant because it enables statisticians to draw conclusions about a population from a sample, despite the fact that the population's distribution may be obscure or intricate.

The sample size for the distribution is given by:

\(n = (z* / E)^2 * p * (1 - p)\)

Now, substituting the values we have:

\(n = (1.645 / 0.0334)^2 * 0.5 * (1 - 0.5) = 635.84\)

Hence, We get that 636 voters should be sampled for a 90% confidence interval.

Learn more about the central limit theorem here:

https://brainly.com/question/18403552

#SPJ1

Answer:0.019 i think

Step-by-step explanation:

you would use the variability formula which is the squareroot p(1-p)/n

Answer:

Apple

Step-by-step explanation:

An apple has more nutririon than a glizzy.

Answer:

.7

Step-by-step explanation:

30/.7 is 21

Answer:

.7

Step-by-step explanation:

21/30=.7

The problem requires us to use Green's Theorem to calculate the line integral. Green's theorem relates line integrals to surface integrals and vice versa over regions bounded by simple, closed, and piecewise-smooth curves.

Using Green's Theorem to evaluate the given integral requires some steps.

Step 1: Determine the partial derivatives of M and N M (x, y) = y e ^ ( -x ) N (x, y) = -e ^ ( -x ) ∴ ∂N/∂x = e ^ ( -x ) = ∂M/∂y Therefore, the curve C is piecewise smooth and closed.

Step 2: We then have to parameterize the given curve. Here, the curve is parameterized as ⃗r(t) = 〈 e ^e ^t , √ 1 + t ^sint 〉, where t ranges from 1 to π.

Step 3: Now, substitute x = e ^ t and y = √ (1+t) sin t in the equation of the line integral. ∫ C (y^e(−x) dx − e^( −x )dy) = ∫π1 [(√(1+t) sin t) e^(−e^t) (d/dt e^t) - e^(−e^t)(d/dt (√(1+t) sin t))] dt = ∫π1 (e^(−e^t) √(1+t) sin t e^t - e^(−e^t) cos t/2) dt

Step 4: To evaluate the integral from step 3, integrate using integration by parts u = sin t, dv = e^(-e^t)√(1+t)e^t dt.

du/dt = cos t, v = -(2/3)√(1+t)e^(-e^t) (e^t + 1).

∫π1 (e^(−e^t) √(1+t) sin t e^t - e^(−e^t) cos t/2)

dt = [- (2/3) √(1+t) e^(t-e^t)]π1 - [(2/3)∫π1 (1/2) e^(-e^t) cos t √(1+t) dt] + [(2/3) ∫π1 e^(-e^t) cos t/2 dt]

Therefore, the answer is  [- (2/3) √(1+π) e^(π-e^π)] - [(2/3)∫π1 (1/2) e^(-e^t) cos t √(1+t) dt] + [(2/3) ∫π1 e^(-e^t) cos t/2 dt].

To know more about green's theorem -

https://brainly.com/question/30763441

#SPJ11

Answer:

m = 1

Step-by-step explanation:

A number is divisible by 3 if the sum of the digits is a multiple of 3

the given number is 2m234 and we are asked to find the smallest m

Adding up known digits gives 2 + 2 + 3 + 4 = 11

The next multiple of 3 is 12

So 11 + m = 12

m = 1

The other possibilities are
m = 4, m = 7

Answer:

A= 36, B=57, C=41, D=23 :)

Step-by-step explanation:

Answer:

10 \(\geq\) s*0.25 + a*0.75

Step-by-step explanation:

Assign variable for each game

s = number of Skeeball games

a = number of Air hockey games

Then write out what you know...

1. Total cost of Skeeball = s*0.25

2. Total cost of Air hockey = a*(3*0.25) -> a*0.75

So the inequality would be...

10 \(\geq\) s*0.25 + a*0.75

1. To identify the surface S, we need to analyze the given equation. However, it seems that the equation is missing, as only "z" is mentioned. Please provide the complete equation for a more accurate identification.

2. Once the equation for surface S is provided, we can find the tangent plane at the point (1, 0, 3). To find the tangent plane, we need the gradient of the surface equation.

The gradient of the surface equation gives the direction of the normal vector to the surface at any point. The equation of the tangent plane can then be written as:

(x - x1)(∂f/∂x) + (y - y1)(∂f/∂y) + (z - z1)(∂f/∂z) = 0,

where (x1, y1, z1) is the given point and (∂f/∂x), (∂f/∂y), and (∂f/∂z) are the partial derivatives of the surface equation with respect to x, y, and z, respectively.

To find the tangent plane at (1, 0, 3), we need the equation of the surface S. Please provide the equation so that we can proceed with the calculation.

Please let me know if you have any further questions or if there's anything else I can assist you with.

The percentage increase of the stereo cable is 14.2%

The cost of the stereo cable yesterday is $14

The cost rose to $16

The first step is to calculate the increase

16-14

= 2

The percentage increase can be calculated as follows

increase/original price × 100

= 2/14 × 100

= 0.142 × 100

= 14.2

Hence the percentage increase is 14.2%

Read more on percentage increase here

https://brainly.com/question/11359375

#SPJ1

Answer:255/256

Step-by-step explanation:

Answer:

sunday and saturday i believe

Step-by-step explanation:

lmk if it helps! :)

Answer:

g(10) = 31

f(-3) = -2

h(2) = -7

j(7) = 333

j(3) = 17

I hope the last 2 were for the same function lol

The length of side PQ in the right-angled triangle is 2√3

A right-angled triangle is a triangle, that has one of its interior angles equal to 90 degrees or anyone angle is a right angle.

Given is a triangle PQR,

To find the side PQ ; we need to first find the length of the given line segment which is perpendicular to side PR; let name it as QS.

Now, as Δ QSR is a right-angled triangle.

and the length of the side QR and SR is given, so using Pythagorean theorem we have

QR² = RS²+QS²

QS² = 5²-3²

QS² = 16

QS = 4

Now again Δ QSP is a right-angled triangle; so using Pythagorean theorem in Δ QSP we have

PQ² = QS²+PS²

PQ = 2√3

Hence, the length of side PQ is 2√3

Learn more about right-angled triangle; click;

https://brainly.com/question/3770177

#SPJ1

Answer: i think its B 14

Step-by-step explanation:

Answer:7+5y

Step-by-step explanation:

3+4=7

4y+y=5y

Answer:

7900 is the round off to the nearest hundred

Answer:

1:4 and 25%

Step-by-step explanation:

For every 4 items 1 medium sized item is bought. And that means that its 1/4 of all items bought, which can be converted to 25% medium items.

The solution for the given linear equation as required in the task content is such that they have no solution.

It follows from the task content that the solution of the given linear systems is to be determined.

The solution can be evaluated by first expressing each of the equations in slope intercept form so that we have;

y = (1/4)x - 5/4

y = (1/4)x + 5/4.

By observation, it follows that the slopes of the equations are equal and the y-intercepts are different.

Hence, the system represents parallel lines and the system has no solution.

Read more on linear systems;

https://brainly.com/question/11152237

#SPJ1

The system of equations has no solutions.

Here we have the system:

2x - 8y = 10

x = 4y - 5

x is already isolated in the second equation, so we can replace that in the first one, then we will get:

2*(4y - 5) - 8y = 10

8y - 10 - 8y = 10

-10 = 10

That is false, thus, the system of equations has no solutions.

Learn more about systems of equations:

https://brainly.com/question/13729904

#SPJ1

Answer:

=2x-3<7

=2x=7+3

=2x<10/2

=x=5

therfore x=5

range=1,2,3,4 5

Step-by-step explanation:

please mark me as brainliest

A student's probability of having a sister are 1/2 or 0.5 if they do not have a brother.

Using the above data table, we must determine the likelihood that a student without a brother also has a sister. Analysing the table now

has a sibling: 5

possesses no sisters: 2

has an 18-year-old brother

possesses no brothers: 4

We are looking for the likelihood that a student has a sister and neither a brother (as indicated by the statement "Does not have a brother"). In this instance, there are two children who do not have a brother but do have a sister, making that number the number of positive outcomes.

No matter whether a student has a sister or not, the total number of outcomes is equal to the number of students who do not have a brother. According to the table, there are 4 students without brothers.

As a result, the likelihood that a student who doesn't have a brother will have a sister can be determined as follows:

Probability is calculated as the ratio of the number of favourable outcomes to all possible outcomes.

Probability equals 2/4

Probability equals 0.5 or half.

For more such question on probability. visit :

https://brainly.com/question/251701

#SPJ8

The equation of the axis of symmetry for the downward-facing parabola with a vertex at (2, 4) is simply x = 2.

Given is a downwards facing parabola having vertex at (2, 4), we need to find the axis of symmetry of the parabola,

To find the equation of the axis of symmetry for a downward-facing parabola, you can use the formula x = h, where (h, k) represents the vertex of the parabola.

In this case, the vertex is given as (2, 4).

Therefore, the equation of the axis of symmetry is:

x = 2

Hence, the equation of the axis of symmetry for the downward-facing parabola with a vertex at (2, 4) is simply x = 2.

Learn more about axis of symmetry click;

https://brainly.com/question/22495480

#SPJ1

Answer:

True

Step-by-step explanation:

Take the square of 3, for example. The answer is 9. If you find its square root, the square root is 3, showing it is true.

Answer: True.

Step-by-step explanation: One thing to be careful of though is when solving equations. When you square values and square root them later, you are opening the door for extraneous solutions. But yes, Squaring and square rooting a value will undo the process and result in the original number.

Answer:

it is 1/3

Step-by-step explanation:

also you can type (1/9)x3 into g o o g l e

pls mark brainliest (it is the crown)

Answer:

1/3

Step-by-step explanation:

3/9 = 1/3

have a great day!

The selection depends on individual needs, preferences, and the intended use of the tiny house.

a) To find the amount of space inside each house, we need to calculate the volume for each design.

House on the left:

Volume = length x width x height = 2.5 m x 18 m x 2.8 m = 126 m³

Triangular house:

Volume of a triangular prism = (base area x height) / 2

Base area = (1/2) x base x height = (1/2) x 4 m x 10 m = 20 m²

Volume = (20 m² x 7 m) / 2 = 70 m³

b) When comparing the environmental impacts of each house, several factors need to be considered:

Positive impacts:

1. Material usage: Tiny houses use fewer materials, reducing resource consumption and waste generation.

2. Energy efficiency: Smaller living spaces require less energy for heating, cooling, and lighting, leading to lower energy consumption.

3. Land utilization: Tiny houses can be built on smaller plots of land, preserving green spaces and reducing urban sprawl.

Negative impacts:

1. Construction materials: Although tiny houses use less material overall, the environmental impact depends on the types of materials used. Sustainable and eco-friendly materials should be prioritized.

2. Water and waste management: Adequate provisions for water supply and waste disposal should be implemented to minimize environmental impacts.

3. Transportation: The transportation of tiny houses to their locations can contribute to carbon emissions if not done efficiently.

c) The choice of design for a tiny house depends on personal preferences and priorities. However, considering the provided information:

The house on the left offers a larger interior space of 126 m³, providing more room for living and storage. It may be suitable for individuals or couples who desire more space and functionality within their tiny house.

The triangular house has a smaller interior volume of 70 m³ but offers a unique design and aesthetic appeal. It may be preferred by individuals who prioritize a distinctive architectural style or who are looking for a minimalist and cozy living space.

Ultimately, the selection depends on individual needs, preferences, and the intended use of the tiny house. Factors such as lifestyle, desired amenities, and personal values regarding sustainability and resource conservation should be considered when making the final decision.

for more such question on intended visit

https://brainly.com/question/31252264

#SPJ8

To determine the number of smaller boxes that would contain the same amount of cereal as a larger box, we set the expressions representing the cereal content equal to each other. Solving the equation, we find that 15 smaller boxes are required to match the cereal quantity in the larger box.

To find the number of smaller boxes that equal the same amount of cereal in a larger box, we need to equate the two expressions and solve for n.

Setting the expressions equal to each other:

10 + 6.3n = 7 + 6.5n

Simplifying the equation:

6.3n - 6.5n = 7 - 10

-0.2n = -3

Dividing both sides by -0.2:

n = -3 / -0.2

n = 15

Therefore, 15 smaller boxes would equal the same amount of cereal as the larger box.

The problem states that the expressions 10 + 6.3n and 7 + 6.5n represent the amount of cereal in the new larger box. The variable n represents the number of smaller boxes.

To find how many smaller boxes are equivalent to the larger box, we need to set the two expressions equal to each other and solve for n. This equation represents the balance between the amount of cereal in the larger box and the combined amount of cereal in the smaller boxes.

By simplifying the equation and solving for n, we find that 15 smaller boxes are needed to equal the same amount of cereal as the larger box.

This means that if the cereal manufacturer wants to package the same amount of cereal as the larger box, they would need to use 15 smaller boxes instead. This calculation helps the manufacturer determine the number of smaller boxes needed to maintain the same quantity of cereal while changing the box size.

Learn more about expressions here:

brainly.com/question/28170201

#SPJ11

Answer:

The 1st answer.

Step-by-step explanation:

1. Find the quotient to 1/3 ÷ 3/4

Your quotient should be 4/9

2. Solve all of the expressions

1st answer choice product: 4/9

2nd answer choice product: 4

3rd answer choice product: 2 1/4

4th answer choice product: 1/4

3. The only answer that was equivalent to  1/3 ÷ 3/4 was answer choice 1 therefore the first answer choice was the correct answer choice.

Answer:

Both data sets represent multiplicative relationships. In Table A, y is 2.5 times x, and in Table B, y is 3 times X

Step-by-step explanation:

Self-explanatory

Every value of y in Table A is 2.5 times  x value

and

every value of y in table B is 3 times x value