for a given confidence level and population or sample standard deviation, which of the following is true in the interval estimation of the population mean?

The fraction 2/3 of a number is calculated by multiplying the number by 2 and then dividing the number by 3 .

Let us consider a number a.

To find 2/3 of the number a ,

we have to multiply the number by 2 = 2a

Then we have to divide the product by 3 .

Therefore 2/3 of a number will look like 2a/3 .

A number that represents a fraction of a whole is used to express fractions. Any number, amount, or portion of an object can all be regarded as a fraction.

The fractional bar is a horizontal bar that divides each fraction's numerator and denominator in half.

The numerator gives the number of selected or visible portions of the fraction. Above the fractional bar, in the upper portion of the fraction, is where it is located.

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The account is compounded 4 times and the rate of interest is 5% per annum.

a) The given equation is : 314,961.92=280,000(1.04)^{t}

The coefficient of t is 1 so the account is compounded 1 times.

here rate = 0.04 , rate percent = 0.04 × 100 = 4%

b) The given equation is :  4,050=1,800(1.0125)^{4 r}

The coefficient of t is 4 so the account is compounded 4 times.

here rate = 0.0125 , rate percent = 0.0125 × 4 × 100= 5%

c) The given equation is :  2,142=350(1.006)^{2 t}

The coefficient of t is 2 so the account is compounded 2 times.

here rate = 0.006 , rate percent = 0.006 × 4 × 100= 2.4%

d)  The given equation is : 10,008=1,200(1.0036)^{12 r}

The coefficient of r is 12 so the account is compounded 12 times.

here rate = 0.006 , rate percent = 0.0036 × 12 × 100 = 4.32%

We know that for compound interest compounded multiple times within a year we take the formula of compound interest to find the amount accumulated in the account.

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4.4306 is the critical point using a 0.01 level of significance, that one would compare to the f statistic in order to make a conclusion.

What is the ANOVA?

This is the term that is used to refer to the short form of the term that says analysis of variance.

The ANOVA is used to show the variation that would be in existence of a group of observations.

The F test is known to be positively skewed at all times. So we would have it that the P value would have to be to the right and not to the left in the ANOVA hypothesis.

Using F Statistics table , we can calculate Critical point using a 0.01 level of significance.

Hence,4.4306 is the critical point using a 0.01 level of significance, that one would compare to the f statistic in order to make a conclusion.

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The expression x³ - 23x² + 142x + 20 cannot be factorized

From the question, we have the following polynomial that can be used in our computation:

x3 - 23x2 + 142x + 20

Solving further, we need to rewrite the polynomial properly

So, we have the following representation

x³ - 23x² + 142x + 20

Express the polynomial as a function

So, we have the following representation

y = x³ - 23x² + 142x + 20

Next, we represent the above expression on a graph

From the attached graph, we can see that the polynomial expression only cross the x-axis at x = -0.138

This implies that the expression cannot be factored

So, we cannot further rewrite the given expression

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The number of workers in the company are 5000

information from the problem

In a​ company, ​95% of the workers are

If 250 people work for the company who​ aren't

how many workers are there in​ all = ?

The question is a percentage problem, percentage deals with a fraction hundred

95% of the workers are, the remaining percentage are not

the remaining percentage are 100 - 95 = 5%

5% of certain number say x aren't

5% of x = 250

5x/100 = 250

x = 250 * 100 / 5

x = 5000

The number of workers are 5000

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Upon receiving notice of a hearing, a Nevada real estate licensee who is the subject of the complaint is required to file an answer denying the allegations made.

Within the real estate division, there is a five-member panel known as the Nevada Real Estate Commission. Within 30 days of receiving the complaint, licensees must submit an answer to it. The licensee must either admit the allegations are accurate or dispute them in their response. If the license holder disputes the allegations, they must provide the rationale for doing so. If the licensee doesn't provide an answer, they will automatically be found guilty of the allegations and subject to commission reprimand.

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Answer:

x=5

y=6

Step-by-step explanation:

3x-2y=3

-3x+3y=3

Ben's expected utility of playing the lottery is 120

Ben bought a lottery ticket that could allow him to win $90,000.00 with probability 0.40

ben values money according to the utility function v(m) = m

Ben's utility = m

We need to find Ben's expected utility

expected utility = 0.4 x √m + 0.6 x 0

= 0.4 x √90000 + 0

= 0.4 x 300

= 120

Therefore, if Ben bought a lottery ticket that could allow him to win $90,000.00 with probability 0.40 (and nothing otherwise). ben values money according to the utility function v(m) = m. Ben's expected utility of playing the lottery is $120

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The measure of side BC is 2.3 inches.

What is congruency?

Two triangles are same to be congruent if all 3 corresponding sides ar equal and every one the 3 corresponding angles ar equal in measure. These triangles will be slides, rotated, flipped and turned to be looked identical. If repositioned, they coincide with one another. The symbol of congruence is’ ≅’.

Main body:

We need to suppose that these 2 triangles are congruent.

ΔABC ≅ ΔDEF

so using it,

BC/AC = DF/EF

BC/4 = 20/28

BC = 2.3 inches

Hence the value of BC is 2.3 inches APPROX.

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4/5< x is the missing step in solving the inequality 5-8x < 2x-3 .this can be obtained by simplification

We are given that an inequality

5-8x< 2x-3

We have to find the first step and missing step 2 in solving the given inequality

5-8x < 2x-3

We are given that first step

Step 1: Subtract 3 from both side of the inequality

5-2x < 8x-3

Then we get

Step 1: 5-2x -3 < 8x-3-3

Now, we are finding the second step

2-2x <8x-6

By simplification

2+6-2x < 8x -6+6

By adding 6 on both side

8-2x < 8x

Step 2: Adding 2x on both side of inequality  

Step 2: 8-2x +2x < 8x+2x

8< 10x

Step 3:Divide both sides of the inequality by the coefficient of x.

Then we get

Step 3: 4/5<x

the complete question is

Step 1: Subtract 3 from both sides of the inequality. Which is a correct first step in solving 5 – 2x < 8x – 3?Step 2: __________ Step 3: Divide both sides of the inequality by the coefficient of x. What is the missing step in solving the inequality 5 – 8x < 2x + 3?

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Answer:

  A: line 3 to 4; distributive property was incorrectly applied

  B: line 8 to 9: division by a negative number was incorrect

Step-by-step explanation:

You want to know where errors occurred in the solution of the given inequality, and what the errors were.

The first error occurred going from line 3 to line 4.

Expressions 2(x -2) and 3(x -4) were incorrectly evaluated as 2x-2 and 3x-4. The distributive property requires the factor to be applied to all of the terms in parentheses, not just the first one.

The second error occurred going from line 8 to line 9.

The inequality -5x ≤ -11 was incorrectly divided by -5 to get x ≤ 11/5. Multiplication or division of an inequality by a negative number is an order-reversing operation, so requires the comparison symbol be reversed.

Distributive property

The student could be asked to group some dissimilar objects, then tell what must happen to make two such groups, or three such groups. This can be compared to groups identified by parentheses, with 2 or 3 as a multiplier.

Ordering

The student can be asked to order a pair of numbers, then the same numbers with opposite signs.  The direction of the comparison symbol should be noted in each case. (-1 > -2; 1 < 2) Multiplication or division by a negative can be seen as changing the signs of the things being compared.

 A: line 3 to 4; distributive property was incorrectly applied

 B: line 8 to 9: division by a negative number was incorrect

Expression: An expression is made up of operators, constants, and variables. An expression can be made up of one or more operands and one or more operators to yield a value.

A. First error

The first error occurred going from line 3 to line 4.

Expressions 2(x -2) and 3(x -4) are incorrectly evaluated as 2x-2 and 3x-4. The distributive property requires the factor to be applied in all of the terms in parentheses, not just the first one.

B. Second error

The second error occurred going from line 8 to line 9.

The inequality -5x ≤ -11 was incorrectly divided by -5 to get x ≤ 11/5. Multiplication or division of any inequality by a negative number follow an order-reversing operation, so requires the comparison symbol to be reversed.

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3:1 phenotype ratio means that three offspring will have a dominant phonotype. Then there is one offspring that will have a recessive genotype, and thus the recessive phenotype.

A 3:1 ratio is the relative fraction of phenotypes among progeny (offspring) results following mating between two heterozygotes, where each parent possesses one dominant allele and one recessive allele at the genetic locus in question.

A phenotypic ratio is a quantitative relation between phenotypes showing the number of times the frequency of one phenotype correlates with another.

A monohybrid cross results in a phenotypic ratio of 3:1.

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Answer:

No, they're not

Step-by-step explanation:

If two triangles have equal angles we can say they are similar, as u can see it doesn't apply for those triangle.

if a given  table of values consists of a constant rate of change   it is said to be a linear function.

A linear function could be a function that represents a straight line on the coordinate plane, A straight work is of the shape f(x) = mx + b, where 'm' and 'b' are real numbers, where m is the slope, b is the y-intercept, x is the independent function and ys is the dependent variable. If the given table is showing  a constant rate change, the value of y changes in a constant  value with the value of  x, we consider it to be a linear  

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Answer:

y = 2/3x - 4/3

Step-by-step explanation:

m = y2 - y1/x2 - x1

m = 2 - (-2)/5 - (-1)

m = 4/6 = 2/3

y - y1 = m(x - x1)

y - (-2) = 2/3(x - (-1))

y = 2/3x - 4/3

Answer:

$295

Step-by-step explanation:

The question is asking how much she will make in 3 hours. The expression 65h + 100 models this situation. She gets $100 for showing up at the customer's house and $65 per hour she works. Simply plug in 3 for h. The result is 65 times 3 plus 100.

65(3) + 100

parentheses like this suggest multiplication

65 times 3 is 195

195 plus 100 is 295

She makes $295

Since it is observed that I z I = 3.464 > 1.96 it is concluded that the null hypothesis is rejected.

Therefore we reject John's claim.

Here:

we can use 1 sample proportion test to check the claim of John

H₀ : p₀ = 0.4

H₁ : p₀ ≠ 0.4

Test statistic is

z = p - p₀/√p₀(1-p₀)n

Let X be the random variable denoting the number of heads.

Now p = X/n

= 8/50

= 0.16

p₀ = 0.4

1-p₀ = 1-0.4

= 0.6

z = -3.464

since it is observed that I z I = 3.464 > 1.96 it is concluded that the null hypothesis is rejected.

Therefore we reject John's claim.

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The expression that shows example of distributive property,

4.7(-8.9)+4.7(2.6)

What is distributive property?

The distributive property of binary operations generalizes the distributive law, which asserts that the equality is always true in elementary algebra. For example, in elementary arithmetic, one has One says that multiplication distributes over addition.

In 4.7(-8.9)+4.7(2.6)

we can write it as 4.7(-8.9+2.6) = 4.7(-8.9)+4.7(2.6)

If in right hand side is equal to left hand side than

it holds distributive property

4.7(-6.3)=-41.83+12.22

-29.61=-29.61

Hence, this expression holds distributive property.

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The value of x will be ∞ and the solution will be infinite.

To find the value of, we need to write the equation we get from the question. We need to transform the alphabetic demonstration into the numerical one.

Four-fifths times x= [tex]\frac{4}{5}x[/tex]
One-fifths times x= [tex]\frac{1}{5}x[/tex]
Three-fifths times x= [tex]\frac{3}{5}x[/tex]

So the equation we get will be:
[tex](\frac{4}{5}x - 9) -[/tex] [tex](\frac{1}{5}x) =[/tex] [tex](\frac{3}{5}x + 12)[/tex]
Take the variable 'x' values to the Left side of the equation.

[tex]\frac{4}{5} x \ - \frac{1}{5} x \ - \frac{3}{5}x \ = 12 - 9[/tex]

Taking the L.C.M '5' on the left-hand side, we get
[tex]\frac{4x -x-3x}{5} = 3[/tex]

Simplifying the equation,
 0x = 3 x 5
x = [tex]\frac{15}{0}[/tex]

x = ∞    ∴ anything divided by zero (0) equals undefined.

So the value to x will be undefined (∞) and the solution is infinite.

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Answer:

y = 2x + 1

tada

According to the first and second four months weight gain, the baby gained 3.25 pounds in the last four months.

Firstly forming the equation according the weight gain in a year. So, as per the known fact there 12 months in a year.

Total weight gain in a year = weight gain in first four months + weight gain in second four months + weight gain in third four months

Now converting mixed fraction to fraction -

Weight in first four months = 4 [tex] \frac{1}{4} [/tex]

Weight in first four months = 17/4

Weight in first four months = 3 [tex] \frac{1}{2} [/tex]

Weight in first four months = 7/2

11 = 17/4 + 7/2 + weight gain in third four months

Weight gain in third four months = 11 - 17/4 - 7/2

Taking LCM, we get 4

Weight gain in third four months = (11×4 - 17 - 7×2)/4

Weight gain in third four months = (44 - 17 - 14)/4

Weight gain in third four months = 13/4

Weight gain in third four months = 3 [tex] \frac{1}{4} [/tex]

Hence, the weight gain is 3 [tex] \frac{1}{4} [/tex] pounds.

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The complete question is -

A baby gains 11 pounds in its first year of life. The baby gained 4 1/4 pounds during the first four months and 3 1/2 pounds in its second four months. How much did the baby gain in the last four months?

Answer: i got  

719/12

in decimal form  it is 59.916667

Step-by-step explanation:

Part A

f(100) is largest

Part B

h(-100) is largest

Part C

f(1/100) is largest

The function

f(x) = 4x-5

g(x) = 4(x-5)

h(x) = (x/4) - 5

Part A

f(100) = 4(100)-5

= 395

g(100) = 4(100-5)

= 4(95)

= 380

h(100) = (100/4) - 5

= 20

f(100) is largest

Part B

f(-100) = 4(-100)-5

= -405

g(-100) = 4(-100-5)

= 4(-105)

= -420

h(-100) = (-100/4) - 5

= -30

h(-100) is largest

Part C

f(1/100) = 4(1/100)-5

= -4.96

g(1/100) = 4((1/100)-5)

= 4(-4.99)

= -19.96

h(1/100) = ((1/100)/4) - 5

= -4.99

f(1/100) is largest

Hence,

Part A

f(100) is largest

Part B

h(-100) is largest

Part C

f(1/100) is largest

The complete question is

Here are the equations that define three functions.

f(x) = 4x - 5

g(x) = 4(x - 5)

h(x) =x/4 -5

a. Which function value is the largest: f(100), g(100), or h(100)?

b. Which function value is the largest: f(-100), g(-100), or h(-100)?

c. Which function value is the largest: f(1/100), g(1/100), or h(1/100)

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The appropriate sample size for a study by knowing the population standard deviation is:

1/6 of the population range.

A pilot study's sample standard deviation.

The sample standard deviation is the root-mean square of the discrepancies between observations and the sample mean: A large divergence is defined as two or more standard deviations from the mean.

The sample standard deviation (s) is the square root of the sample variance and serves as a measure of the deviation from expected values. In its most basic form, it is the average distance between the observed data and the expected values.

The population standard deviation always depends upon the population range and sample standard deviation.

Therefore, By knowing the population standard deviation it allows us to choose the appropriate sample size for a study that is:

1/6 of the population range.

A pilot study's sample standard deviation.

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when calculating a confidence interval for the mean using a sample size of less than 30 with an unknown population standard deviation, the Binomial distribution is used.

In statistics, what is a binomial distribution?

The binomial distribution summarizes the number of trials or observations when each trial has the same chance of achieving a specific value. The binomial distribution determines the likelihood of observing a given number of successful outcomes in a given number of trials.

In a posthumous proof published in 1713, Swiss mathematician Jakob Bernoulli determined that the probability of k such outcomes in n repetitions is equal to the kth term (where k starts with 0) in the expansion of the binomial expression (p + q)n, where q = 1 p. (This is why the binomial distribution is so named.)

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Answer: 10 cm

Step-by-step explanation:

Look at the sides with the lengths of 16cm and of 6cm. the length with the 16cm is the total of the length of the 6cm combined with the unknown side. So, you need to subtract 6 from 16, which leaves you with 10cm.

By using the concept of stratified sampling, it can be concluded that

In this situation, stratified sampling is used.

What is stratified Sampling?

Suppose, there is a population. If it is required to partition the given population into subpopulation, the sampling technique used in this case is called stratified sampling.

A tv station wishes to obtain information on the tv viewing habits in its market area. The market area contains one city of population 170,000 another city of 70,000, and four towns of about 5,000 residents each.

Here,  it is said that the station suspects that the viewing habits may be different in larger and smaller cities and in the rural areas.

So it is advantageous to partition the given population into subpopulation.

So stratified sampling must be used here.

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Overhead allocation based on one rate Plant wide rate

Overhead allocation based on at least two rates Departmental rate

Overhead allocation using activities that drive costs          Activity based costing

In the given question, we have to Select from the three alternative methods of overhead allocation in the drop down list so that it matches with the provided feature.

Item #1 Plant Wide rate

Item #2 Departmental rate

Item #3 Activity based costing

Plant Wide rate: Whenever a corporation assigns all of its production overhead costs to products or cost items, it does so using a single overhead rate known as the plant wide overhead rate. In smaller companies with predictable cost structures, it is most frequently used.

Departmental rate: The overhead rate per unit of activity that is charged by a certain department is known as a departmental rate. Only the production departments charge this rate. Administrative departments don't have departmental rates because their expenses are paid as they are incurred.

Activity based costing: Activity based costing(ABC) is a mechanism for allocating overhead and indirect costs to goods and services, such as salaries and utility prices. The ABC approach of cost accounting is based on activities, which are seen as any occasion, unit of labour, or assignment with a particular goals.

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The number of points that a letter grade of a B+ avg in a regular class counts for is; 3.3

The following should be noted as used for Undergraduate Grade Points;

- Letter grades of A, B, C, D, and F are used.

- Pluses and minuses could be assigned to grades of B and C.

- Minus may be assigned to an A, while plus may be assigned to a D.

- Temporary grades consisting of IN and AB do not affect grade point average.

- Courses that consist of a grade of PS, SP, BE, W or PL are ignored in establishing the quality point average.

Now, the grade points are assigned as follows:

A = 4.0

A⁻ = 3.7

B⁺ = 3.3

B = 3.0

B⁻ = 2.7

C⁺ = 2.3

C = 2.0

C⁻ = 1.7

D⁺ = 1.3

D = 1.0

F = 0.0

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