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According to a Nielsen survey, radio reaches 88% of children each week. Suppose we took weekly random
samples of n = 125 children from this population and computed the proportion of children in each sample
whom radio reaches.
What will be the shape of the sampling distribution of the proportions of children the radio reaches?

Choose 1 answer:

A. Skewed to the left
B. Skewed to the right
C. Approximately normal
D. Uniform

Answer:

1: 10

Step-by-step explanation:

2/2 =2

20/2 = 10

We can convert grams to moles with help of the formula

moles = grams of compound/molar mass of the compound.

The first step in determining molecular mass is to identify each component of the chemical. Because abbreviations only have one or two letters, it is simple to identify between elements.

To determine the molecular mass, you must know how many atoms of each element are present.

 Each element's contribution in terms of atoms will be noted next to it in a subscript.

Finding an element's atomic weight is made simple by using a periodic table. The atomic weight of an element can typically be found next to its symbol on a periodic table after you've identified it.

By multiplying the number of atoms in each element by its atomic weight, the molecular mass of a material is determined.

Converting from grams to moles requires knowledge of molecular mass.

moles = grams of compound/molar mass of compound

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Answer:

Answer: (x + 2.5)² + (y + 4.4)² = 49/16.

Step-by-step explanation:

The volume of the balloon is 1441.64cm³.

The radius of the balloon is given as 7cm. Also, the equation to calculate the volume is given as c³/6π²

The circumference c will be:

= 2πr = 2 × 22/7 × 7

= 44

The volume will be:

= c³/6π²

= 44³/(6 × 3.14²)

= 85284/(59.1576)

= 1441.64

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Equivalent expression is the expression of two equation when the way of representation of the two equation is different but the result is same. The given equation is equivalent to the expression one half and one half x.

Given information-

The expression given in the problem is,

\(\dfrac{1}{4} \times x\)

Equivalent expression is the expression of two equation when the way of representation of the two equation is different but the result is same.

For given expression,

\(\dfrac{1}{4} \times x\)

As the above function is the function of x. Thus it can be written as,

\(f(x)=\dfrac{1}{4} \times x\)

The number four is the product of number 2 and number 2. Thus,

\(f(x)=\dfrac{1}{2\times2} \times x\)

\(f(x)=\dfrac{1}{2} \times \dfrac{1}{2}\times x\)

Hence the given equation is equivalent to the expression one half and one half x.

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Answer:

C. QRT and TRQ

Answer:

a. 264.5

b.40.375

c.0.1

d.0.8

e.7656

f.500

Step-by-step explanation:

a. \(\frac{115}{100}*230=\frac{26450}{100}=264.5\)

b.\(\frac{80*4+3/4}{100}*50=\frac{323/4}{100}*50=\frac{323/4*50}{100}=\frac{4037.5}{100}=40.375\)

c.\(\frac{500}{100}*0.02=5*0.02=0.1\)

d.\(\frac{1/10}{100}*800=1/10*1/100 *800=\frac{1}{1000}*800=\frac{800}{1000}=0.8\)

e.\(\frac{63*5+4/5}{100}*12000=\frac{319/5}{100}=12000=319/5*1/100*12000=319/500*12000=\frac{319*12000}{500}= \frac{3828000}{500}=7656\)

f.\(\frac{0.05}{100}*1000000=\frac{0.05*1000000}{100}= \frac{50000}{100}=500\)

The average speed for the first part of the trip is 60 miles.

Given:

1st leg DATA:

distance = 120 miles ;

rate = x mph ;

time = d/r = 120/x hrs

2nd leg DATA:

distance = 220 miles ;

rate = x-5 mph ;

time = 220/(x-5) hrs

hence the equation we frame is:

Equation:

120/x + 220/(x-5) = 6

120(x-5) + 220x = 6x(x-5)

120x - 600 + 220x = 6x² - 30x

-6x² + 340x + 30x - 600 =0

-6x² + 370x - 600 = 0

-3x² - 185x + 300 = 0

(3x-5)(x-60)

3x = 5 or x-60=0

x = 5/3 or x = 60

hence x-5 = 60-5

= 55 miles per hour.

Hence we get the answer as 60 miles.

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Answer:

its d or b

Step-by-step explanation:

Answer:i think it is d

Step-by-step explanation:

Answer: To figure out the answer, you have to find c, c equals 0 because adding anything from 9 + 1 equaling 0 will get you above the answer, 10. so, 9c + 1 = 10, now lets change the equation to 9c(0) + 1 = 10, c equaling zero would make the most sense because if c equals 0 then you will get 10, the answer.

Step-by-step explanation:

Answer:

well depending on what they are asking the answer is either

C=1

or

true

Step-by-step explanation:

just accept it

Answer:

A

Step-by-step explanation:

The inverse is just the opposite it is a flip

Answer:

m(-1)^n - 1

Step-by-step explanation:

Both means are whole numbers. The sum of products of deviations (SP) for these scores is 25.

To calculate SP, we first need to find the deviation of each score from its respective mean. Let's start by finding the means:
Mean of X = (4+3+9+0)/4 = 4
Mean of Y = (8+11+8+1)/4 = 7
Now, we can calculate the deviations:
X Y X-Mean Y-Mean Product
4 8 0 1 0
3 11 -1 4 -4
9 8 5 1 5
0 1 -4 -6 24
To find SP, we simply sum up the products column:
SP = 0 + (-4) + 5 + 24 = 25
To calculate SP (the sum of products of deviations), we first need to find the means of both X and Y, and then find the deviations from the mean for each score.
For X: (4 + 3 + 9 + 0) / 4 = 16 / 4 = 4 (mean)
For Y: (8 + 11 + 8 + 1) / 4 = 28 / 4 = 7 (mean)
Now, find the deviations for each score:
X: (0, -1, 5, -4)
Y: (1, 4, 1, -6)
Now, calculate the products of the deviations:
(0 * 1), (-1 * 4), (5 * 1), (-4 * -6) = (0, -4, 5, 24)
Finally, sum the products of deviations:
SP = 0 - 4 + 5 + 24 = 25

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Answer:

The steps taken to solve an algebraic equation are the same steps used in an ... at one time, he gets a $10 discount so that the total cost of 4 shirts would be $44.

Step-by-step explanation:

Answer:

The answer is B

Step-by-step explanation:

Answer:

9 mph

Step-by-step explanation:

d = rt     (distance = rate x time)

Paul rate:  j + 3

Jake rate: j

Paul time:  8 hr

Jake time:  12 hr

12j = 8(j + 3)

12j = 8j + 24

4j = 24

j = 24/4 = 6

Paul rate = j + 3 = 6 + 3 = 9 mph

First thing you need to do is to find out the yearly depreciation amount:

Annual depreciation = (Cost of truck - Residual value) / Useful life

= (28,000 - 3,000) / 5

= $5,000

At the end of 3 years, the value of the truck would be:

= Cost of truck - (Depreciation amount x number of years)

= 28,000 - (5,000 x 3)

= $13,000

If the truck was bought on April 12, only depreciation by the number of days left in that year:

= Annual depreciation / Number of days in a year x Number of days left in the first year

= 5,000 / 365 x 263

= $3,602.74

In conclusion, the truck will be worth $13,000 in 3 years.

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No, this process is not a function. This is because there are two possible inputs (x=2 and x=-2) that would lead to the same output (y=4). Since there is not one unique input that would lead to the same output, it is not a function.

(I) a) Consider function f(x) 3x-1. Given x, we can find the y. Complete the table for this function. Show explicitly how to find the output when the input is-2

Input x Output y

-2 5

When x=-2, then y=3x-1=3(-2)-1=5

b) Let's now reverse this process. Suppose we know the outputs, find corresponding inputs. Complete the table below Show explicitly how to find the input when the output is-1

Output y Input x

-1 -10

When y=-1, then x=3x-1=-1⟹3x=0⟹x=-10

c) The reverse process is a function. Find its formula (that is show how we could find x, if y was given)

The reverse process is a function and its formula is x = (y+1)/3.

(II) a) Consider function h(x) x2. Complete the table for this function. Show explicitly how to find the output when the input is -2

Input x Output y

-2 4

When x=-2, then y=x2=-2^2=4

b) Discuss now the reverse this process. Is this process a function? Why or why not?

No, this process is not a function. This is because there are two possible inputs (x=2 and x=-2) that would lead to the same output (y=4). Since there is not one unique input that would lead to the same output, it is not a function.

The complete question is :

A function can be visualized as a process (machine) that takes x as an input and returns y as an output. (I) a) Consider function f(x) 3x-1. Given x, we can find the y. Complete the table for this function. Show explicitly how to find the output when the input is-2

Input x Output y

-2 5

When x=-2, then y=3x-1=3(-2)-1=5

b) Let's now reverse this process. Suppose we know the outputs, find corresponding inputs. Complete the table below Show explicitly how to find the input when the output is-1

Output y Input x

-1 -10

When y=-1, then x=3x-1=-1⟹3x=0⟹x=-10

c) The reverse process is a function. Find its formula (that is show how we could find x, if y was given)

The reverse process is a function and its formula is x = (y+1)/3.

(II) a) Consider function h(x) x2. Complete the table for this function

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There is sufficient evidence at the 0.02 level of significance that the percentage is over 62% for hypothesis.

Given that,

Over 62% of a newsletter publisher's subscribers, in their estimation, own a Rolls-Royce. A potential advertiser wants to verify this claim for marketing purposes. The advertiser decides to reject the null hypothesis following a test with a significance threshold of 0.02 after executing the analysis.

We have to find what is the verdict in relation to the publisher's assertion.

We know that,

First we have to write the null hypothesis and alternative hypothesis for the hypothesis test.

H₀:P=0.62

H₁:P>0.62

At 0.02 level of significance, rejecting H₀ then accepting H₁.

That is sufficient evidence that percentage over 62%.

Therefore, there is sufficient evidence at the 0.02 level of significance that the percentage is over 62% for hypothesis.

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Answer:

2^2= 4

3^2=9

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

Step 1 - Simplify the brackets:

2² = 2 x 2 = 4

3² = 3 x 3 = 9

Step 2 - Multiply the simplified values together:

9 x 4 = 36

Hope this helps!

Answer:

C. 8 units to the right and 5 units down

Step-by-step explanation:

Because if we move the trapezoidal to the right 8 times, then 5 units down. It becomes the image need it needs to be.

I hope this helps! I'm sorry if it's wrong.

Answer:

Simple Interest =PRT/100

Step-by-step explanation:

P*R*T/100

Among the given candidates, the operations in (b) and (c) are binary operations on the respective sets. However, the operations in (a) and (d) fail to be binary operations due to closure violation or reliance on external criteria.

(a) The operation x# = \(x^{2}\) is not a binary operation on set S = {1, 2, 3}. To be a binary operation, it must take two elements from the set and produce another element in the set. However, when x = 2, the result \(x^{2}\) = 4 is not an element in set S, violating the requirement for closure. Therefore, this operation fails to be a binary operation on S.

(b) The operation x + 1 if x is odd, x if x is even is a binary operation on set S = {1, 2, 3}. It takes two elements from the set and produces another element in the set, satisfying the closure property. For example, 2 + 1 = 3, which is an element in S. Hence, this operation is a binary operation on S.

(c) The operation x + y = that fraction, x or y, with the smaller denominator is a binary operation on the set of all fractions. It takes two fractions and produces another fraction, satisfying closure. The result is determined by selecting the fraction with the smaller denominator. Therefore, this operation is a binary operation on the set of all fractions.

(d) The operation x + y = that person, x or y, whose name appears first in an alphabetical sort is not a binary operation on the set of 10 people with different names. This operation does not combine two elements from the set to produce another element in the set, violating closure. It relies on external sorting criteria (alphabetical order) and does not operate solely on the elements of the set itself. Thus, this operation fails to be a binary operation on the given set.

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Step-by-step explanation:

y = kx, where k is a real constant.

When x = 0.4, y = 4.

=> (4) = (0.4)k, k = 10.

Hence when x = 5,

y = kx = (10)(5) = 50.

The answer is 50.

Answer:

What is the GCF of the polynomial?

The answer should be 2

What is the equivalent factored form of the polynomial?

The answer should be 2(3x-1)(x-1)

Step-by-step explanation:

Answers:

What is the GCF of the polynomial?

2

What is the equivalent factored form of the polynomial?

(3x-1)(x-1)

Answer:

82

Yes, that is the answer. Try it and you'll get it correct, I think...

Check the picture below.

so the area of it, is really the area of a 16x16 square and four triangles with a base of 16 and a height of 15.

\(\stackrel{ \textit{\LARGE Areas}}{\stackrel{ square }{(16)(16)}~~ + ~~\stackrel{ \textit{four triangles} }{4\left[\cfrac{1}{2}(16)(15) \right]}}\implies 256~~ + ~~480\implies \text{\LARGE 736}~cm^2\)

Answer:

(7/8) - (6 3/4) = -5.875

a) A department manager receiving an allocation of costs will care about management's methodology of overhead allocation because the overhead costs allocated to their department will have a direct impact on the department's profitability and cost efficiency.

b) The allocation base is the measure used to determine how much of the overhead costs should be allocated to a particular department or product, while the allocation rate is the amount of overhead costs allocated to each unit of the allocation base

c) Budgets are an important tool for cost planning, but their effectiveness depends on how well they are developed and implemented.

a) If the allocation method used by management is not accurate or fair, it could result in the department being burdened with more costs than they actually incur, which could affect their ability to meet their targets and objectives. It is, therefore, important for department managers to ensure that the allocation of costs is done fairly and accurately.

b) The allocation base and rate are important because they determine how the overhead costs are allocated to different departments or products.

Different allocation bases and rates can result in significantly different amounts of overhead costs being allocated to different departments or products, which can impact their profitability. While all of the overhead costs eventually make their way to the income statement, the allocation of these costs can have a significant impact on the accuracy of the income statement and the ability of the organization to make informed decisions.

c) Budgets can be helpful in providing a roadmap for achieving the organization's goals and objectives, but they need to be flexible enough to adapt to changing circumstances and priorities.

The budget(s) that are most important to the organization's success will depend on the nature of the organization and its objectives. However, typically the operating budget, capital budget, and cash budget are the most important budgets for most organizations.

The government's budget process is similar to the operating budgeting process described in the chapter in that it involves the development of a budget to allocate resources and achieve goals. However, the government's budget process is more complex and involves additional considerations such as political priorities and public opinion. Additionally, the government's budget process involves a more detailed review and approval process than the operating budgeting process.

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Answer:

2630

Step-by-step explanation:

5.6*(10^6) - 340,000 / 2*(10^3)

5,600,000 - 340,000 / 2,000

5,260,000 / 2000

= 2630 or 2.63*(10^3)

Answer:

Expanded form of the answer is 2630

i cant do the other part (show your work) but this is the answer.