i've asked 55 students on monday whether they did their homework over the weekend. 17 of them said they did. find a 67% confidence interval for the proportion of students who will tell me that they did their homework over the weekend.

Answer: 11.5 maybe ? {sorry if its wrong]

Step-by-step explanation:

The pk[tex]_b[/tex] of given acid conjugate base is 9.74 if k[tex]_a[/tex] of the same acid is equal to 5.57×10⁻⁵

The Bronsted-Lowry corrosive base hypothesis incorporates the ideas of form acids and form bases. At the point when a corrosive separates into its particles in water, it loses a hydrogen particle. The species that is shaped is the corrosive's form base.

A more broad definition is that a form base is the base part, X-, of a couple of mixtures that change into one another by acquiring or losing a proton. The form base can acquire or retain a proton in a synthetic response. The form corrosive gives the proton or hydrogen in the response.

In a corrosive base response, the substance response is:

Corrosive + Base ⇌ Form Base + Form Corrosive

We know very well that from equilibrium state theories that  pk[tex]_b[/tex] +pk[tex]_a[/tex] =14

where  pk[tex]_a[/tex] = - log( k[tex]_a[/tex] )

So, we have k[tex]_a[/tex] =5.57×10⁻⁵

Taking log of  k[tex]_a[/tex] ,we get

=>pk[tex]_a[/tex]= -log(5.57×10⁻⁵)

Using properties of logarithm, log(a × b)=log(a)+log(b)

=>pk[tex]_a[/tex]= -log(5.57) -log(10⁻⁵)

=>pk[tex]_a[/tex]= -0.745 +5

=>pk[tex]_a[/tex]=4.25

Therefore, from above written formula, we get

=>4.25+pk[tex]_b[/tex]=14

=>pk[tex]_b[/tex]=14-4.25

=>pk[tex]_b[/tex]=9.74

Hence, pk[tex]_b[/tex] value is 9.74

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Therefore the maximum value of function f(x,y,z)=[tex]x^{2} y^{2} z^{2}[/tex] =1/27

And the minimum value is 0

function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable) (the dependent variable) (the dependent variable) (the dependent variable). Mathematics uses functions frequently, and functions are essential for specifying physical relationships in the sciences.

Here,

The function is given as:

f(x,y,z)=[tex]x^{2} y^{2} z^{2}[/tex]

[tex]x^{2} +y^{2}+ z^{2}[/tex]=1

=>[tex]x^{2} +y^{2}+ z^{2}[/tex]-1=0

Using Lagrange multiplies, we have:

L(x,y,z,λ)=f(x,y,z) +λ(0)

Substitute f(x,y,z)=[tex]x^{2} y^{2} z^{2}[/tex]  and [tex]x^{2} +y^{2}+ z^{2}[/tex]-1=0

Differentiate

L(x)=[tex]2xy^{2} z^{2}[/tex]+2λx

L(y)=[tex]2yx^{2} z^{2}[/tex]+2λy

L(z)=[tex]2zx^{2} y^{2}[/tex]+2λz

L(λ)=[tex]x^{2} +y^{2}+ z^{2}[/tex]-1

Equating to 0

[tex]2xy^{2} z^{2}[/tex]+2λx =0

[tex]2yx^{2} z^{2}[/tex]+2λy = 0

[tex]2zx^{2} y^{2}[/tex]+2λz = 0

[tex]x^{2} +y^{2}+ z^{2}[/tex]-1 = 0

Factorize the above expressions

[tex]2xy^{2} z^{2}[/tex]+2λx =0

2x([tex]y^{2} z^{2}[/tex]+λ)=0

2x=0 and ([tex]y^{2} z^{2}[/tex]+λ)=0

x=0 and  [tex]y^{2} z^{2}[/tex]= -λ

[tex]2yx^{2} z^{2}[/tex]+2λy = 0

2y([tex]x^{2} z^{2}[/tex]+λ)=0

2y=0 and ([tex]x^{2} z^{2}[/tex]+λ)=0

y=0 and  [tex]x^{2} z^{2}[/tex]= -λ

[tex]2zx^{2} y^{2}[/tex]+2λz = 0

2z([tex]y^{2} x^{2}[/tex]+λ)=0

2z=0 and ([tex]x^{2} y^{2}[/tex]+λ)=0

z=0 and  [tex]x^{2} y^{2}[/tex]= -λ

So we have ,

x=0 and  [tex]y^{2} z^{2}[/tex]= -λ

y=0 and  [tex]x^{2} z^{2}[/tex]= -λ

z=0 and  [tex]x^{2} y^{2}[/tex]= -λ

The above expression becomes

x=y=z=0

This means that,

[tex]x^{2} +y^{2}+ z^{2}[/tex]=1

[tex]x^{2} +x^{2}+ x^{2} =1 \\3x^{2 } =1[/tex]

x= ±1/[tex]\sqrt{3}[/tex]

So,

y= ±1/[tex]\sqrt{3}[/tex]

z= ±1/[tex]\sqrt{3}[/tex]

The critic points are

x=y=z=±1/[tex]\sqrt{3}[/tex]

x=y=z=0

Therefore the maximum value of function f(x,y,z)=[tex]x^{2} y^{2} z^{2}[/tex] =1/27

And the minimum value is 0

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Answer:

u forgot the question...........

Yes, its true that the questionnaire is very carefully constructed by an individual to provide the measurement instrument.  

A questionnaire is a studies device which includes a sequence of questions for the motive of amassing facts from respondents. Questionnaires may be concept of as a form of written interview. A questionnaire is a listing of questions or gadgets used to collect facts from respondents approximately their attitudes, experiences, or opinions.

Questionnaires may be used to acquire quantitative and/or qualitative facts. Questionnaires are generally utilized in marketplace studies in addition to withinside the social and fitness sciences. Questionnaires are typically taken into consideration to be excessive in reliability. This is due to the fact it's miles feasible to invite a uniform set of questions. Any troubles withinside the layout of the survey may be ironed out after a pilot study. The greater closed questions used, the greater dependable the studies.

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Answer:

336.

Step-by-step explanation:

8P3 = 8! / (8 - 3)!

       = 8*7*6*5*4*3*2*1 / 5*4*3*2*1

       = 8*7*6

       = 336

Answer:

156

Step-by-step explanation:

mxn

13x12= 156

......

The [tex]n^{th[/tex] term of an exponentially increasing sequence can be found using the formula:

[tex]a_n = a_1[/tex] × [tex]r^(^n^-^1^)[/tex]

To find the [tex]n^{th[/tex] term of a sequence, you can use a formula that defines the relationship between the terms of the sequence. In this particular sequence, the terms seem to be increasing exponentially, with each term being the square of the previous term.

The [tex]n^{th[/tex] term of an exponentially increasing sequence can be found using the formula:

[tex]a_n = a_1[/tex] × [tex]r^(^n^-^1^)[/tex]

where [tex]a_n[/tex] is the nth term of the sequence, [tex]a_1[/tex] is the first term of the sequence, and r is the common ratio.

In this case, the first term is 2, and the common ratio is the previous term divided by the term before it. In this sequence, the common ratio is [tex]\frac{4}2=2[/tex]

Therefore, the [tex]n^{th}[/tex] term of the sequence can be found using the following formula:

[tex]a_n = 2[/tex] × [tex]2^{(n-1)[/tex]

So to find the [tex]n^{th[/tex] term, you would plug in the value of n into the formula. For example, to find the fifth term of the sequence, you would plug in 5 for n:

[tex]a_5 = 2[/tex] × [tex]2^{(5-1)[/tex]

= 2 × [tex]2^4[/tex]

= 2 × 16 = 32

So the fifth term of the sequence is 32

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Answer:2.04.10/8

Step-by-step explanation:

Response:

2.04.10/8

Step by step explanation:

1. Write the number as a decimal

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204000000.0

2. Convert it to a new number between 1 and 10

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We move the decimal point so that 204000000.0 becomes a new number between 1 and 10. Since our number is greater than 10, we move the decimal point to the left. Remove trailing zeros. Keep count of amounts times we move the decimal point.

204000000.0 -> 2.04

Our new number is 2.04. We have moved the decimal point 8 times.

3. Define the power of 10

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Since our original number was greater than 10, the exponent of 10 is positive. Remember that we moved the decimal point 8 times, so the exponent is positive 8:

4.End result

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The standard uniform distribution is a special case of the beta distribution when β = γ = 1.

A sort of probability distribution called the beta distribution encompasses all potential probabilities. With examples, let's go over its definition and formula. The Beta distribution is a continuous probability distribution that is defined by two positive parameters in probability and statistics. It is a kind of probability distribution that is used to depict the results or irrational behavior of percentages or proportions.

Let the random variable X ∼ beta(β, γ). The probability density function of X is mentioned in the picture given below which is the probability density function of a standard uniform random variable.

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Answer: 2

Step-by-step explanation:

The transition to -24 degrees will take three hours .The balance between energy coming into and going out of the planet's system determines its temperature.

Explanation:

-8% / -24 = 3.

The transition to -24 degrees will take three hours.

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Answer:

-3

Step-by-step explanation:

5 + ( -8 )

-8 - 5 = -3

so final answer: -3 because ( - 8 ) so the ( - ) would go on the answer

Answer: -3

Step-by-step explanation: It would be -3 because since we are adding a negative it would go toward the negative side. Also, it can be modeled as:

5 - 8

This would still = -3.

Answer:

No

Step-by-step explanation:

To prove 2 triangles an congruent we need three pieces of information

SSS or SAS or ASA or RHS

S - Side

A - Angle

R - Right angle

H - Hypotenuse

We have an angle side and another side

So these two triangles can be proved congruent by SAS

Hope this helped and have a good day

1/8 of a number is 56. The number is equal to 448.

let the number=x

1/8 of a number means we have to multiply 1/8 with x.

1/8 of a number =1/8x

now according to the condition, 1/8 of a number is 56 which means that we have 1/8x equal to 56.

1/8x=56

which gives us a simple algebraic equation in a single variable x. we can solve it accordingly .i,e multiplied 8 on both sides of the equation gives

x=56*8

x=448.

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Answer:

$72 and $74

Step-by-step explanation:

Let the cheaper ball cost x.

x + x + 2 = 146

2x = 144

x = 72

x + 2 = 74

Answer: $72 and $74

Answer:

1st and 4th are the right answers

Step-by-step explanation:

the rule for the sides of a triangle are that two of the side lengths need to be bigger than the third one. Because of this the 1st and 4th are the only ones that meet this expectation.

Answer:

S = 3

S = 5

S = 7

S = 9

Step-by-step explanation:

t = 3s + 2

when t = 11

11 = 3s + 2

11 – 2 = 3s

9 = 3s

s = 3

t = 3s + 2

when t = 17

17 = 3s + 2

17 – 2 = 3s

15 = 3s

s = 5

t = 3s + 2

when t = 23

23 = 3s + 2

23 – 2 = 3s

21 = 3s

s = 7

t = 3s + 2

when t = 29

29 = 3s + 2

29 – 2 = 3s

27 = 3s

s = 9

I HOPE ALL THIS HELPS

RATE AS BRAINLIEST PLS

Answer:

A. -3 and C. 3

Step-by-step explanation:

The square root of 9 is ±3, which means that the square root can either be 3 or -3.

Answer:

θ = 56°

Step-by-step explanation:

As OA and OB are both radii, triangle AOB is an isosceles triangle:

⇒ m∠ABO = m∠OAB = 48°

Interior angles of a triangle sum to 180°:

⇒ m∠ABO + m∠OAB + m∠AOB = 180°

⇒ 48° + 48° + m∠AOB = 180°

⇒ m∠AOB = 180° - 48° - 48°

⇒ m∠AOB = 84°

Angles on a straight line sum to 180°:

⇒ m∠AOB + m∠DOB = 180°

⇒ 84° + m∠DOB = 180°

⇒ m∠DOB = 180° - 84°

⇒ m∠DOB = 96°

The tangent of a circle is always perpendicular to the radius.

Therefore, tangent BC is perpendicular to radius OB, and tangent DE is perpendicular to radius OD, so:

OBCD is a quadrilateral.

The interior angles of a quadrilateral sum to 360°:

⇒ m∠OBC + m∠BCD + m∠CDO + m∠DOB = 360°

⇒ 90° + θ + 28° + 90° + 96° = 360°

⇒ θ + 304° = 360°

⇒ θ = 360° - 304°

⇒ θ = 56°

6x³ -4x² +4 is the additive inverse of polynomial -6x³ +4x² -4

Polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables

The given polynomial is  -6x³ +4x² -4

Polynomial is minus six x cube plus four x square minus four.

Additive inverse simply means changing the sign of the number and adding it to the original number to get an answer equal to 0.

6x³ -4x² +4 is the additive inverse of -6x³ +4x² -4

because -6x³ +4x² -4+6x³ -4x² +4=0

Hence, 6x³ -4x² +4 is the additive inverse of polynomial -6x³ +4x² -4

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The statement 2) and 5) about the construction are correct.

In geometry, the term "construction" refers to precisely drawing forms, angles, or lines. These structures simply require a pencil, compass, and straightedge (a ruler).

Given this, a design was created by building a standard hexagon.

The construction's real claims are as follows:

2) JKLO is taken to JIHO when it is mirrored across segment OJ. Therefore, quadrilateral JKLO and quadrilateral JIHO are congruent.

5) JKLO is transferred to HGLO when it is reflected over segment OL. Therefore, quadrilateral JKLO and quadrilateral HGLO are congruent.

Therefore, statement 2 and 5 about the structure are true.

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Answer:

1/2

Step-by-step explanation:

Find the following limit:

lim_(x->∞) (x + 1)/(1 x + sqrt(x)^2 + 1)

(x + 1)/(1 x + sqrt(x)^2 + 1) = (x + 1)/(2 x + 1):

lim_(x->∞) (x + 1)/(2 x + 1)

The leading term in the denominator of (x + 1)/(2 x + 1) is x. Divide the numerator and denominator by this:

lim_(x->∞) (1 + 1/x)/(2 + 1/x)

The expressions 1/x and 1/x both tend to zero as x approaches ∞:

Answer: 1/2

The Central Limit Theorem establishes that the sampling distribution of the sample means of size n can be approximated to a normal distribution with mean and standard deviation s = /n for a normally distributed random variable X, with mean and standard deviation.

The Central Limit Theorem can also be used with skewed variables if n is at least 30.

The sampling distribution of the sample percentage for a proportion p in a sample of size n will be about normal, with mean and standard deviation s = p(1-p)/n.

The mean is the difference between the means when two normal variables are subtracted, and the standard deviation is the square root of the sum of the variances.

Average gas mileage (A): Mean 36, SD 6, sample size 50:

So, μA = 36, sA = 6/√50 = 0.8485

Gas mileage B: Mean 42, SD 8, and sample size of 50:

So, μB = 42, sB = 8/√50 = 1.1314

Arrangement of the difference:

Mean: 36 - 42 = -6 where A - B

Standard deviation: 1.4142

Locate the point estimate.

This is the mean difference, which is -6 mpg.

To determine our level, we must deduct 1 from the confidence interval and divide the result by two. So: 1 - 0.95/2 = 0.025

Now that z has a pvalue of, we must locate it in the Ztable.

Z = 1.96 since it has a pvalue of.

Identify the margin of error M as follows.

M = zs = 1.96 * 1.4142 = 2.77

2.77 mpg is the error margin.

The sample mean plus M determines the interval's upper end. Therefore, it is -6 + 2.77 = -3.23 mpg.

The difference between the population mean gas mileage for engines A and B and how to interpret the data, in mpg, have a 95% confidence interval of (-8.77, -3.23) means, whereas the standard deviation is the sum of the variances' square roots.

Average gas mileage (A): Mean 36, SD 6, sample size 50:

So, μA = 36, sA = 6/√50 = 0.8485

Gas mileage B: Mean 42, SD 8, and sample size of 50:

So, μB = 42, sB = 8/√50 = 1.1314

Arrangement of the difference:

Mean: 36 - 42 = -6 where A - B

Standard deviation: 1.4142

Locate the point estimate.

This is the mean difference, which is -6 mpg.

B. Determine the error margin.

By subtracting 1 from the confidence interval and dividing the result by 2, we can determine our level. So: 1 - 0.95/2 = 0.025

We must now locate z in the Ztable because it has a pvalue of

Z = 1.96 since that has a p value of.

Find the margin of error now. such that M

M = zs = 1.96 * 1.4142 = 2.77

The error margin is 2.77 mpg.

C. Build the 95% confidence interval for the difference between the population-mean fuel economy for engines A and B, then analyze the findings (5 pts)

The sample mean multiplied by M determines the interval's upper end. Consequently, it is -6 + 2.77 = -3.23 mpg.

The 95% confidence interval for the difference between population mean gas mileage for engines A and B and how to interpret the data, in mpg, is (-8.77, -3.23).

You should calculate the population standard deviation when the dataset you’re working with represents an entire population, i.e. every value that you’re interested in. The formula to calculate a population standard deviation, denoted as σ.

A % confidence interval (CI) for the population mean is given by Example 6.2 A meat inspector has randomly measured 30 packs of acclaimed 95% lean beef. The sample resulted in the mean 96.2% with the sample standard deviation of 0.8%.

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For the following data of group of Scandinavians consisting of Swedes, Finns and Norwegians the probability for the following parts will be:

By using the formula, Circular permutation  = (n-1)

Total permutations = 18 - 1 = 17

(a) all the swedes sit together

Total permutations where all the swedes sit together  

= 13 x 5

all swedes sitting on 5 consecutive seats so they can be arranged  times and everyone including Norwegians as a group can be arranged in

Probability that all the swedes sit together = [tex]\frac{13 X 5}{17}[/tex]

(b) that all the Finns and all the Swedes sit together

Total permutations where all the Finns and all swedes sit together =  8 x 6 x 5

Probability that all the Finns and all swedes sit together = [tex]\frac{8 X 6 X 5}{17}[/tex]

(c) that all the Norwegians, Swedes, and Finns sit together.

Total permutations where all the Norwegians, Swedes, Finns sit together = (3-1)

So Probability that all the Norwegians, Swedes, Finns sit together = [tex]\frac{2 X 6 X 5 X 7}{17}[/tex]

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Answer:

for right angle triangle ...by Pythagoras theorem

18^2 = 8^2 + 16^2

324 = 64 + 256

324 = 320

which is not true ....

hence not a right angle triangle