In march 2011, the pew research center conducted a survey of us adults to determine whether higher education provides students with a good value compared to the cost. pollsters randomly selected 2,142 adults ages 18 and older living in the continental us. a total of 1,052 interviews were completed with respondents contacted by landline telephone and 1,090 with those contacted on their cellular phone. which feature of the sampling plan makes the sample representative of the population?

Answer:

The speed of Todd's snowmobile was 22 miles an hour

Step-by-step explanation:

:))

The speed of Todd's automobile is 31 miles per hour.

Speed is defined as the ratio of the time distance travelled by the body to the time taken by the body to cover the distance. Speed is the ratio of the distance travelled by time. The unit of speed in miles per hour.

Given that It took Todd 11 hours to travel over pack ice from one town in the Arctic to another town 330 miles away. During the return journey, it took him 15 hours.

For the first journey,

v₁ + v₂ = 330 / 11    ......................( 1 )

For the return journey,

v₂ - v₁ = 330 / 15 .........................( 2 )

From equation ( 1 ) and equation ( 2 ),

2v₂ = ( 330 / 11 ) + ( 330 / 15 )

2v₂ = ( 330 ) ( 31 / 165 )

v₂ = 165 ( 31 / 165 )

v₂ = 31 miles per hour

To know more about speed follow

https://brainly.com/question/27384390

#SPJ2

The simplified form of the expression \(( 2^{-\frac{1}{2}} * 7^{\frac{1}{3} )^6\) is  \(6\frac{1}{8}\).

Given the expression in the question:

\(( 2^{-\frac{1}{2}} * 7^{\frac{1}{3} )^6\)

To simplify the given expression \(( 2^{-\frac{1}{2}} * 7^{\frac{1}{3} )^6\), first, rewrite the expression using the negative exponent rule:

\(( \frac{1}{2^{\frac{1}{2} }} * 7^{\frac{1}{3} )^6\)

Next, combine the fractions:

\(( \frac{7^{\frac{1}{3} }}{2^{\frac{1}{2} }} )^6\)

Simplify the numnerator:

\(\frac{49}{(2^{\frac{1}{2} })^6}\)

Simplify the denpminator:

\(\frac{49}{8}\\ \\6\frac{1}{8}\)

Therefore, the simplified form is \(6\frac{1}{8}\)

Learn about how to divide fractions here: brainly.com/question/1627825

#SPJ1

Answer:

x>95

Step-by-step explanation:

94 s equal to 90

Answer:

Step-by-step explanation:

Assuming the semester scores have equal weights, for a second-semester score of s, Blake wants ...

  (87 +s)/2 > 90 . . . . average for both semesters

  87 +s > 180 . . . multiply by 2

  s > 93 . . . . . . subtract 87

Blake's score must be more than 93 for his average to be more than 90.

__

Alternate solution

Blake's current score is 90 - 87 = 3 points below the average he wants. To get the average he wants, his second score must be more than 3 points above the average he wants: 90 + 3 = 93. He must make more than 93.

__

In any set of data, the total of signed deviations from average will be zero.

Here we have 2 data values, one of which deviates -3 from the average. That means the other must deviate +3 from the average, so the total deviation is -3+3 = 0.

Answer:

24

Step-by-step explanation:

So to start we need to find the length of the sides. luckily, since this is a right triangle we can subtract the x values on line AB to get 8 and we can subtract the y values on line AC to get 6. Now that we know two lengths we can use \(A^{2} +B^{2} =C^{2}\) to find the last length.

When we plug in the two known lengths we get \(8^{2} +6^{2} =c^{2}\) which can be simplified to \(64+36=c^{2}\) and then simplified again to be \(100=c^{2}\). We can then take the square root of 100 to know that c=10.

Finally, we can add \(10+8+6\) to get 24.

Answer:

10 · 13 (2 + 3 · \(10^{9}\) w)

Step-by-step explanation:

hope this helps!!!

Brooklyn needs to invest $432.43, rounded to the nearest ten dollars.

To determine how much Brooklyn needs to invest in an account that pays a continuously compounded interest rate, we can use the formula:

A = \(Pe^(^r^t^)\)

where A is the future value of the account, P is the principal investment, e is the mathematical constant approximately equal to 2.71828, r is the interest rate, and t is the time in years.

In this case, we want the future value of the account to be $640, the interest rate is 3.5% (or 0.035 as a decimal), and the time is 9 years. We can substitute these values into the formula and solve for P:

640 = \(Pe^(^0^.^0^3^5^*^9^)\)

640 = Pe^0.315

P =\(640/e^0^.^3^1^5\)

P = 432.43

Therefore, to have a future value of $640 in 9 years with a continuously compounded interest rate of 3.5%.

For such more questions on invest

https://brainly.com/question/29227456

#SPJ8

0.105 is equivalent to the fraction 21/200 in lowest terms.

What is fraction?

A fraction is a number that represents a part of a whole. Suppose a number has to be divided into four parts, then it is represented as x/4. So the fraction here, x/4, defines 1/4th of the number x.

To convert a decimal to a fraction, we need to write the digits after the decimal point as the numerator and the place value of the last digit as the denominator. In this case, the last digit is 5, which is in the hundredths place (two places to the right of the decimal point).

Therefore, we can write:

0.105 = 105/1000

However, we can simplify this fraction by dividing both the numerator and denominator by their greatest common factor, which is 5:

105/1000 = (105 ÷ 5)/(1000 ÷ 5) = 21/200

Therefore, 0.105 is equivalent to the fraction 21/200 in lowest terms.

Learn more about fraction on:

https://brainly.com/question/28372533

#SPJ1

The value of the vehicle after 12 years of purchase will be $13,500.

Here, we are given that a vehicle purchased for $25,000 depreciates at a constant rate of 5%.

Therefore, the value of the vehicle after 1 year will reduce by-

25,000 × 5/100

= 250 × 5

= 1250

Thus, the value after 1 year will become = 25,000 - 1250 = 23750

In the same manner, the value will keep on reducing every year. Thus, the value after 12 years will become-

25,000 \((1- 5/100)^{12}\)

= 25,000 \((1 - 0.05)^{12}\)

= 25,000 \((0.95)^{12}\)

= 25,000 × 0.54

= 250 × 54

= 13,500

Thus, the value of the vehicle after 12 years of purchase will be $13,500.

Learn more about depreciation here-

https://brainly.com/question/25806993

#SPJ4

Answer:

60%

Step-by-step explanation:

21/35 = 3/5

= 0.6

=60%

The volume of the circular cylinder be,

⇒ 62.8 mm³

Given that,

For a circular cylinder,

Height = 5 mm

Radius = 2 mm

Then we have to find the volume of this circular cylinder

Since we know that,

The right circular cylinder is a cylinder with circular bases that are parallel to each other. It's a three-dimensional form. The axis of the cylinder connects the centers of the cylinder's two bases.

This is the most frequent sort of cylinder encountered in daily life. The oblique cylinder, on the other hand, does not have parallel bases and resembles a skewed construction.

volume of circular cylinder = πr²h

Here we have,

r = 2 mm

h = 5 mm

Now put the values into the formula we get,

Volume = π x 2² x 5

             = 62.8 mm³

To learn more about volume visit:

https://brainly.com/question/16860802

#SPJ1

a) 625

b) 120

=============================================

Explanation:

If we select with replacement, then the first battery chosen is put back or we put a cloned copy in the bag. The contents of the bag have not changed. This means the second selection has the exact same identical situation as the first selection. By extension, any future selection has the same idea.

We have 5 batteries for any given selection, and we select 4 batteries. That gives 5*5*5*5 = 5^4 = 625 different outcomes in the sample space.

---------------

Now consider a situation where we don't apply replacement. Whatever is selected is not put back, and we don't put in a cloned copy. We go from 5 choices in the first selection, then 5-1 = 4 choices for the second,  5-2 = 3 choices for the third, and 5-3 = 2 choices for the fourth.

Overall there are 5*4*3*2 = 120 different outcomes in the sample space this time.

Another way to calculate this value is to plug n = 5 and r = 4 into the nPr permutation formula below

\(nPr = \frac{n!}{(n-r)!}\)

The exclamation marks represent factorials.

Answer:

11.

Step-by-step explanation:

As the first decimal place is 5 we round up the whole number.

Answer:

11

Step-by-step explanation:

See image below:)

Answer:

The mean of the sampling distribution of sample means is equal to the population mean, which is 5.3 years.

give thanks for more! your welcome!

Step-by-step explanation:

Answer:

83 kids total

Step-by-step explanation:

There are 54 girls on the playground. There are 25 fewer boys than girls on the playground. How many kids are on the playground?

girls = 54

boys = 54 - 25 = 29

54 + 29 = 83 kids total

kids that are on the playground are 83.

Merging objects and identifying them since one big bunch is done through addition. In arithmetic, addition is the technique of adding two or more integers together. The product can meet are the quantities that are included, and the outcome of the operation, or the final response, is referred to as the sum.

The total number of girls that are present is 54

The data given is that there are

25 fewer boys taht are4 present

The total number of boys will be

boys = 54 - 25 = 29

The number of kids that are present will be the total of boys and girls that are present.

Kids = boys + girls

54 + 29 = 83 kids total

The quantity of kids that are present in the playground is 83.

Learn more about sum, here:

https://brainly.com/question/537797

#SPJ2

Answer:

6 of x and 5 of y

Step-by-step explanation:

x = number of closets of the first type

y = number of closets of the second type

1200 = 100x + 120y

100 = 10x + 8y

10x = 100 - 8y

10x(100 - 8y) + 120y = 1200

1000 - 80y + 120y = 1200

40y = 200

y = 5

100 = 10x + 8×5 = 10x + 40

60 = 10x

x = 6

20x + 24y = max

20×6 + 24×5 = 120 + 120 = 240

Answer:

300 + 80 + 3

PLease mArk me brainliest

The value of the x in the given equation is 3.

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given an equation, \(120+18\frac{1}{4}x\) = \(180-1\frac{3}{4} x\)

120 + 73x/4 = 180 - 7x/4

60 = 73x/4 + 7x/4

60 = 80x/4

60 = 20x

x = 3

Hence, The value of the x in the given equation is 3.

For more references on equation, click;

https://brainly.com/question/10413253

#SPJ1

Answer:

7 1/3 weeks

Step-by-step explanation:

Divide 16 1/2 km by (2 1/4 km/wk).  We get:

   16.5 km

--------------------- = 7 1/3 weeks

  2.25 km/wk

Answer:

33.70%

Step-by-step explanation:

$635 - $421 = $214

$214/$635 × 100 % = 33.70%

The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

If outcome O₁ has a frequency 4/a, outcome O₂ has a frequency 12/a, and outcome O₃ has frequency 3/a, then the value of a is 19

Frequency of outcome O₁ = 4/a

Frequency of outcome O₂ = 12/a

Frequency of outcome O₃ = 3/a

Let's say 1/a = x

Now, the Frequency of outcome O₁ = 4x

Frequency of outcome O₂ = 12x

Frequency of outcome O₃ = 3x

The sum of the respective frequencies must equal 1.

So, 4x + 12x + 3x = 1

                      19x = 1

x = 1/19

That means that the “a” in the problem is 19.

To learn more about frequency here:

brainly.com/question/14169579

#SPJ4

Answer:

Brand A  Costs 37.38 per ounce and Brand B cost 31.19 per ounce hope this helped ^-^

Answer:

AAS

Step-by-step explanation:

Answer:

A. the angular speed is 3771.4 rad/min

b. 5921 rpms

Step-by-step explanation: I just got this same question right on a test.

The graph of the function f(x) = x² + 2x + 3 is a parabola with vertex (-1, 2).

You can use the vertical line test on a graph to determine whether a relation is a function. If it is impossible to draw a vertical line that intersects the graph more than once, then each x-value is paired with exactly one y-value. So, the relation is a function.

Given, the function is f(x) = x² + 2x + 3

We have to find the graph of the function.

Let y = x² + 2x + 3

Put x = -3

y = (-3)² + 2(-3) + 3

= 9 - 6 + 3

= 9 - 3

y = 6

Put x = -2

y = (-2)² + 2(-2) + 3

= 4 - 4 + 3

y = 3

Put x = -1

y = (-1)² + 2(-1) + 3

= 1 - 2 + 3

= 4 - 2

y = 2

Put x = 0

y = (0)² + 2(0) + 3

= 0 + 0 + 3

y = 3

Put x = 1

y = (1)² + 2(1) + 3

= 1 + 2 + 3

= 3 + 3

y = 6

We can plot the graph using the points.

The graph of the function f(x) = x² + 2x + 3 is a parabola with vertex (-1, 2).

Learn more about graph of quadratic equation at :

https://brainly.com/question/16191913

#SPJ4

Answer:

c = n − 2

Step-by-step explanation:

n is what she has before making the salad. It takes 2 tomatoes to make the salad, so subtract 2 from n and you are left with "c", or the number of tomatoes left after making the salad. So, n - 2 = c or you can flip it to be c = n - 2

Answer:

c = n − 2

Step-By-Step Explanation: I got it right on a test

Answer:

Second option

Step-by-step explanation:

Focus on the right side only. We have (n+8)(n+5).

Let's use FOIL to expand that out

F = first means we multiply the first terms n and n to get n^2

O = outer tells us to multiply the outer terms n and 5 to get n*5 or 5n

I = inner tells us to multiply the inner expressions 8 and n to get 8n

L = last meaning we multiply 8 and 5 to get 8*5 = 40

Add up those results: n^2+5n+8n+40 = n^2+13n+40

Notice how the like terms (5n and 8n) combine to have the expression simplify a bit.

This shows how (n+8)(n+5) turns into n^2+13n+40, which is why the second choice is the answer. The other choices aren't true equations for all values of n.

Answer:

its b

Step-by-step explanation:

I just took the test

The solution to the equation 3 / 5x-2 = 2 / 3x-1 is x = 1.

Given the equation in the question;

3 / 5x-2 = 2 / 3x-1

To solve for x, cross multiply the equation

3 / 5x-2 = 2 / 3x-1

3( 3x - 1 ) = 2( 5x - 2 )

Apply distributive property

3( 3x - 1 ) = 2( 5x - 2 )

3×3x + 3×-1 = 2×5x + 2×-2

9x - 3 = 10x - 4

Subtract 10x from both sides

9x - 10x - 3 = 10x - 10x - 4

9x - 10x - 3 = - 4

Add 3 to both sides

9x - 10x - 3 + 3 = - 4 + 3

9x - 10x  = - 4 + 3

-x = -1

Divide both sides by -1

-x/-1 = -1/-1

x = 1

Therefore, the value of x is 1.

Learn to solve more equations here: https://brainly.com/question/9236233

#SPJ1

Thomas' installment payment that he pays in one fortnight is approximately k523.08.

To calculate Thomas' installment payment, we need to consider the principal amount (k10,000) and the interest rate (36%).

First, let's calculate the total amount to be repaid at the end of the year, including the interest. The interest is calculated as a percentage of the principal amount:

Interest = Principal × Interest Rate

= k10,000 × 0.36

= k3,600

The total amount to be repaid is the sum of the principal and the interest:

Total Amount = Principal + Interest

= k10,000 + k3,600

= k13,600

Now, we need to calculate the number of fortnights in a year. There are 52 weeks in a year, and since each fortnight consists of two weeks, we have:

Number of Fortnights = 52 weeks / 2

= 26 fortnights

To find the installment payment for each fortnight, we divide the total amount by the number of fortnights:

Installment Payment = Total Amount / Number of Fortnights

= k13,600 / 26

≈ k523.08

Therefore, Thomas' installment payment that he pays in one fortnight is approximately k523.08.

It's important to note that this calculation assumes equal installment payments over the course of the year. Different repayment terms or additional fees may affect the actual installment amount. It's always advisable to consult with the bank or financial institution for accurate information regarding loan repayment.

For more such questions on installment visit:

https://brainly.com/question/28330590

#SPJ8