Michael Scott, regional manager at Dunder mifflin Scranton, bought a coin from a magic shop that is designed to flip heads much often than tails. Dwight Schrute, his employee, wants to estimate the proportion of all glips of this coin that will be heads. In 400 flips of the coin Dwight flipped 312 times. Construct and interpret the 90% confidence interval for the population proportion of flips that will be heads. show at least 2 decimal digits in your endpoints.

Answer: 17cm - perimeter of triangle, 30cm - perimeter of parallelogram

area of parallelogram- 56cm squared

area of triangle- 15cm squared

U can just search it lol

Explanation:

but for perimeter add all the side lengths.

Perimeter of a circle: To calculate the circumference, you need the radius of the circle: Multiply the radius by 2 to get the diameter. Multiply the result by π, or 3.14 for an estimation. That's it; you found the circumference of the circle.

Umm.. i'm sorry im... i have no idea what i just wrote over there lol

Using the proportional rule of Similar Triangles, the length of SD is 12 m.

Given a truss bridge.

From it,

The triangles BCD and RSD are similar.

For similar triangles, corresponding sides are proportional.

Corresponding sides are,

BC and RS, CD and SD, BD and RD.

BC / RS = CD / SD = BD / RD.

Consider BC / RS = CD / SD.

2 / 1 = 24 / SD

2 (SD) = 24

SD = 12

Hence the length of SD is 12 m.

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The number of hours to operate the mines to minimize cost are Mine 1 hour = 25 hours and Mine 2 hour = 10 hours

The given parameters can be represented using the following table of values

                               Mine 1 (x)              Mine 2 (y)   Available

Regular grade          5                            20             325

Low grade               18                             9              540

Operating cost      16000                     12000

Time                        37                                34

From the table, we understand that we are to minimize cost

This means that:

Objective function: C = 16000x + 12000y

Subject to:

5x + 20y >= 325

18x + 9y >= 540

Next, we plot the constraints on a graph (see attachment)

From the graph, we have

(x, y) = (25, 10)

This means that

Mine 1 hour = 25 hours

Mine 2 hour = 10 hours

Hence, the number of hours to operate the mines to minimize cost are Mine 1 hour = 25 hours and Mine 2 hour = 10 hours

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The population size after four days is 121.

Given that,

a population of protozoa with a constant relative growth rate of 0.8603 per member per day

let P be the population size and let t be the time interval then the given system modeled by the differential equation

\(\frac{dP}{dt}\) = 0.8603

by solving the separable equation and expifying both sides we get,

P = A \(e^{0.8603t}\)

From the condition that on day zero the population consist of four members,

i.e. P(0) = 4, A = 4

Therefore population size after four days is

P(4) = 4\(e^{4(0.8603)}\)

      = 4 \(e^{3.441}\)  

      = 4 × 30.295

P(4) =  121.2

nearest whole number is 121

i.e P(4) = 121

Hence the population size after four days is 121.

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Given differential equation is, `y′′ + y′ − 2y = 0`.Here, we are going to substitute `y = erx` into the given differential equation to determine all values of the constant `r` for which `y = erx` is a solution of the equation.

We are given a differential equation `y′′ + y′ − 2y = 0`.Here, we are to determine all values of the constant `r` for which `y = erx` is a solution of the equation.We know that the differentiation of `erx` with respect to `x` is `rerx` and the differentiation of `rerx` with respect to `x` is `r2erx`.

By substituting `y = erx` in the given differential equation, we get`y′′ + y′ − 2y = 0``

⇒ y′′ + y′ − 2(erx) = 0``

⇒ r2erx + rerx − 2(erx) = 0``

⇒ erx (r2 + r − 2) = 0`

For this equation to be true for all values of `x`, we must have `(r2 + r − 2) = 0`.

This is a quadratic equation in `r`.Solving the above quadratic equation, we get`(r + 2)(r − 1) = 0`

⇒ r = −2 or r = 1

Therefore, the given differential equation has two solutions: `y1 = e−2x` and `y2 = e^x`.Thus, the values of the constant `r` are `r = −2` and `r = 1`.

We can conclude that for the given differential equation `y′′ + y′ − 2y = 0`, the values of the constant `r` are `r = −2` and `r = 1`.

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Answer:

We're no strangers to love

You know the rules and so do I

A full commitment's what I'm thinking of

You wouldn't get this from any other guy

I just wanna tell you how I'm feeling

Gotta make you understand

Never gonna give you up

Never gonna let you down

Never gonna run around and desert you

Never gonna make you cry

Never gonna say goodbye

Never gonna tell a lie and hurt you

We've known each other for so long

Your heart's been aching but you're too shy to say it

Inside we both know what's been going on

We know the game and we're gonna play it

And if you ask me how I'm feeling

Don't tell me you're too blind to see

Never gonna give you up

Never gonna let you down

Never gonna run around and desert you

Never gonna make you cry

Never gonna say goodbye

Never gonna tell a lie and hurt you

No, I'm never gonna give you up

No, I'm never gonna let you down

No, I'll never run around and hurt you

Never, ever desert you

We've known each other for so long

Your heart's been aching but

Never gonna give you up

Never gonna let you down

Never gonna run around and desert you

Never gonna make you cry

Never gonna say goodbye

Never gonna tell a lie and hurt you

No, I'm never gonna give you up

No, I'm never gonna let you down

No, I'll never run around and hurt you

I'll never, ever desert you

Step-by-step explanation:

We must calculate the standard deviation of the differences between the values in the matched pairs in order to build a confidence interval using those values.

The 95% confidence interval is another frequently used measure of accuracy. In order to calculate it, a range of values that is 95% likely to contain the true population mean must be created using the standard deviation.

According to the 68-95-99.7 Rule, 95% of values are within two standard deviations of the mean, so to calculate the 95% confidence interval, one need only add and deduct two standard deviations from the mean.

Data dispersion in relation to the mean is quantified by a standard deviation, or σ. Data are said to be more closely clustered around the mean when the standard deviation is low and more dispersed when the standard deviation is high.

The difference between the values in the matched pairs' standard deviation is calculated.

The complete question is:

To construct a confidence interval using matched pairs, we must compute the standard deviation of the ___ between the values in the matched pairs.

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We must calculate the standard deviation of the differences between the values in the matched pairs in order to build a confidence interval using those values.

What is the difference between standard deviation and confidence interval?

The 95% confidence interval is another frequently used measure of accuracy. In order to calculate it, a range of values that is 95% likely to contain the true population mean must be created using the standard deviation.

According to the 68-95-99.7 Rule, 95% of values are within two standard deviations of the mean, so to calculate the 95% confidence interval, one need only add and deduct two standard deviations from the mean.

Data dispersion in relation to the mean is quantified by a standard deviation, or σ. Data are said to be more closely clustered around the mean when the standard deviation is low and more dispersed when the standard deviation is high.

The difference between the values in the matched pairs' standard deviation is calculated

To construct a confidence interval using matched pairs, we must compute the standard deviation of the ___ between the values in the matched pairs.

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Step-by-step explanation:

2x+3>4x-8

or, 3+8>4x-2x

or, 11>2x

or, 11/2 > x

or, x < 11/2

Answer:

20

Step-by-step explanation:

The no. of people will be 2/3 of the pounds of turkey.

2/3 of 30 is 20.

Hope this helps!

Answer:

Angle 3 = 86.8

Angle 6 = 96.4

Angle 7 = 93.2

Step-by-step explanation:

Given :

angle 6 = 4x + 10

angle 7 = 2x + 40

=> angle 6 + angle 7 = 180° { linear pair }

=> 4x+10 +2x+40 = 180

=> 6x+50 = 180

=> 6x = 180-50

=> 6x = 130

=> x = 130/6

=> x = 21.6

so ,the measure of angle 6 = 4x + 10 = 4(21.6) +10 = 86.4+10 = 96.4

the measure of angle 7 = 2x + 40 = 2(21.6) +40 = 43.2+50 = 93.2

now angle 7 = angle 4 + angle 5

and angle 3 + angle 4 + angle 5 = 180°

so, angle 7 + angle 3 = 180

=> 93.2 + angle 3 = 180

=> angle 3 = 180 - 93.2

=> angle 3 = 86.8

Answer:

S L O P E

Explain:

S L O P E

Answer:

(a) \(x=\frac{19}{4}=4.75\)

(b) \(x=-\frac{1+\sqrt{193}}{6}\approx-2.4821, x=-\frac{1-\sqrt{193}}{6}\approx2.1487\)

Step-by-step explanation:

The detailed explanation is shown in the attached documents below.

Answer:

1/8 or 12.5% probability

Step-by-step explanation:

Compound probability is what you would want to use here which is the probability of the first event multiplied by the second event.

So, if 1/4 is the probability of spinning a 1 on the spinner and 1/2 is the probability of flipping heads, you would multiply 1/4 • 1/2 to get 1/8, or 12.5%

Hope this helped!

The correct answer is 108° i.e Option A.

.

.

.

HOPE IT HELPS! :)

Answer:

Step-by-step explanation:

Where we have "x" must replace for the number shown on table

We have for "x" tha numbers: 0; 1; 2; 3; 4 and 5

Equation:

1.y = x+4

y = x + 4

For x = 0

y = x + 4

y = 0 + 4

y = 4

For x = 1

y = x + 4

y = 1 + 4

y = 5

For x = 2

y = x + 4

y = 2 + 4

y = 6

For x = 3

y = x + 4

y = 3 + 4

y = 7

For x = 4

y = x + 4

y = 4 + 4

y = 8

For x = 5

y = x + 4

y = 5 + 4

y = 9

So:

x     y

0    4

1     5

2    6

3    7

4    8

5    9

I hope help you.

To generate x from a random number r, we can use the inverse of f(x).

The inverse of f(x) is 6x. So, the equation for generating x is x = 6r. If we substitute r with a random number between 0 and 1, we can generate a corresponding value of x. For example, if r = 0.5, then x = 6(0.5) = 3. This equation can be useful in probability and statistics when we need to generate random values for a given distribution.
To find the equation for generating x using the random number r and the given function f(x) = x/6, you'll want to rearrange the equation to solve for x. To do this, you can follow these steps:
1. Rewrite the function: f(x) = x/6
2. Replace f(x) with r: r = x/6
3. Isolate x by multiplying both sides by 6: x = 6r
So, the equation for generating x using the random number r is x = 6r.

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Answer:

34414855

Step-by-step explanation:

=34414855

I hope my answer helped

The formula to calculate the common sum of the interior angles of an n-sided polygon is as follows: Sum = (n-2) × 180The problem states that the polygon is regular. As a result, all angles in the polygon have the same degree.

To discover the degree of each angle, divide the sum of the angles by the number of angles in the polygon.

Say, for instance, that the polygon has 150 sides. The formula for the sum of the interior angles of a polygon with 150 sides is:S = (n-2) × 180 = (150-2) × 180 = 148 × 180 = 26640 degrees

To determine the size of each interior angle, we must now divide the sum by the number of angles in the polygon: Each angle size = S/n = 26640/150 = 177.6 degrees Therefore, each interior angle in a regular 150-sided polygon has a degree of 177.6.

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Answer:

Step-by-step explanation:

we know that UPR is a straight line so QPR and QPU equals 180 degrees

since we have QPR already we just have to do 180 - 70 = 110

so 110 is our answer

hope this helps <3

In the 2012 Gallup survey, a random sample of 474,195 U.S. adults was interviewed by phone to gather information about their work status, height, and weight.

The objective was to determine the prevalence of obesity (defined as having a body mass index greater than 30) among different work status groups. The survey found that 24.9% of the participants who were employed (either full-time or part-time by choice) were classified as obese. In contrast, 28.6% of the participants who were unemployed and actively seeking work were also found to be obese. This indicates that there may be a relationship between employment status and obesity rates in the U.S. adult population.

However, it is important to note that correlation does not necessarily imply causation, and various factors could contribute to these findings. Further research may be necessary to determine the underlying causes behind the differences in obesity rates among employed and unemployed individuals.

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The fully factorized form of the expression x^2 + y^2 - 2(xy - xz + yz) is (x - y)(x - y + 2z).

To factorize the expression x^2 + y^2 - 2(xy - xz + yz), we can simplify and rearrange terms:

x^2 + y^2 - 2xy + 2xz - 2yz.

Next, we can group the terms in pairs:

(x^2 - 2xy + y^2) + (2xz - 2yz).

Now, we can factor the binomials within each pair:

(x - y)^2 + 2z(x - y).

Notice that we have a common factor of (x - y) in both terms. Factoring it out:

(x - y)(x - y + 2z).

It's important to note that factorization results may vary depending on the specific expressions involved.

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The first five terms of the given sequence are:

a1 = -2

a2 = -5/11

a3 = 0

a4 = 7/67

a5 = 1/8

Also, given sequence should converge to a limit of 0, since the denominator is growing faster than the numerator.

For given question,

We have been given a sequence \(a_n=\frac{n^2-9}{n^3+3}\)

We need to find the first five terms, a1, a2, a3, a4, a5, of the sequence.

For n = 1,

\(a_1=\frac{1^2-9}{1^3+3} \\\\a_1=\frac{-8}{4} \\\\a_1=-2\)

For n = 2,

\(a_2=\frac{2^2-9}{2^3+3}\\\\ a_2=\frac{-5}{11}\)

For n = 3,

\(a_3=\frac{3^2-9}{3^3+3} \\\\a_3=\frac{0}{30}\\\\ a_3=0\)

For n = 4,

\(a_4=\frac{4^2-9}{4^3+3} \\\\a_4=\frac{7}{67}\)

For n = 5,

\(a_5=\frac{5^2-9}{5^3+3} \\\\a_5=\frac{16}{128}\\\\ a_5=\frac{1}{8}\)

Given sequence should converge to a limit of 0, since the denominator is growing faster than the numerator.

Therefore, the first five terms of the given sequence are:

a1 = -2

a2 = -5/11

a3 = 0

a4 = 7/67

a5 = 1/8

Also, given sequence should converge to a limit of 0, since the denominator is growing faster than the numerator.

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Answer:

y = -3/1x + 2

Step-by-step explanation:

1. Find the slope

The points I will use are (-1,5) and (0,2), where x1 = -1, y1 = 5, x2 =0, and y2 =2.

y2-y1/x2-x1

2-5/0-(-1) = -3/1

2. Find the y-intercepy

y = mx + b

You can use any x or y point. I'll use (-1,5)

m= slope, which is -3/1

5= -3/1(-1) +b

5= 3 + b

Subtract 3 from 5 and 3 to get 2=b.

3. Rewrite in slope-intercept form

y = -3/1x + 2

Answer:

3

Step-by-step explanation:

becuase if jack has 5 flowers and jenny has 10 then 5+10=15 15 to get o 18 is 3 more so 15+3= 18

Answer:

3

Step-by-step explanation:

because there is 18 flowers

Jack has five

Jenny has 10

5+10=15

so u have to add 3 more to be 18

5+10+3=18

We show that p(n) = Θ(\(n^k\)) for constants c1 = a_k, c2 = (|a_k| + |a_k-1| + ... + |a_0|), and n0 ≥ 1.

To show that p(n) = Θ(\(n^k\)), we need to prove that p(n) is both bounded above and bounded below by multiples of \(n^k\) for sufficiently large values of n. In other words, we need to find constants c1, c2, and n0 such that c1 * \(n^k ≤ p(n) ≤ c2 * n^k\)for all n ≥ n0.

Since p(n) is a polynomial of degree k, we know that for sufficiently large n, the dominant term in p(n) will be a_k * \(n^k\). Thus, we can choose c1 = a_k to bound p(n) from below.

To bound p(n) from above, we can observe that for sufficiently large n, each term in the polynomial p(n) will be dominated by the highest degree term a_k * \(n^k\). Therefore, we can choose c2 = (|a_k| + |a_k-1| + ... + |a_0|) to bound p(n) from above.

Now, for n ≥ n0, we have:

\(c1 * n^k ≤ a_k * n^k + a_k−1 * n^k−1 + … + a_1 * n + a_0 = p(n) ≤ (|a_k| + |a_k-1| + ... + |a_0|) * n^k = c2 * n^k.\)

Therefore, we have shown that p(n) = Θ(\(n^k\)) for constants c1 = a_k, c2 = (|a_k| + |a_k-1| + ... + |a_0|), and n0 ≥ 1.

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We know that the surface area of cuboid with sides L, B and H is given by,

S = 2 (LB + BH + LH)

Given that the sides of cuboid are x cm, 5 cm and 7 cm.

So L = x cm and B = 5 cm and H = 7 cm.

Given that the surface area of the cuboid is 142 square cm.

According to information the suitable equation for this is:

2(5x+7*5+7x) = 142

Now solving the equation we get,

5x+35+7x = 142/2 = 71

12x+35 = 71

12x = 71-35

12x = 36

x = 36/12

x = 3

Hence the value of x is 3 cm.

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Answer:

65% of 66 is 42.9

Step-by-step explanation:

ok first you do

\( \frac{42.9}{1} \div \frac{65}{100} \)

and then you invert the percentage fraction to multiply

\(42.9 \times \frac{100}{65} \)

,

and now you should have now 42.9×1.54

and you will get 66 and that will be your answer

to clarify:

\( \frac{65}{100} \times 66 = 42.9\)

Answer:

subscribe to Sky Clikz on YT  to make you and my day better

Step-by-step explanation:

Answer:

Multiply and divide

Step-by-step explanation:

When you are converting from a bigger unit to a smaller one you multiply.

When you are converting from a smaller one to a bigger one you divide.

HOPE THIS HELPED