A regional transportation authority is interested in estimating the mean number of minutes working adults in the region spend commuting to work on a typical day. A random sample of working adults will be selected from each of three strata: urban, suburban, and rural. Selected individuals will be asked the number of minutes they spend commuting to work on a typical day. Why is stratification used in this situation?

A. To remove bias when estimating the proportion of working adults living in urban, suburban, and rural areas.B. To remove bias when estimating mean commuting time.C. To reduce bias when estimating mean commuting time.D. To decrease the variability in estimates of the proportion of working adults living in urban, suburban, and rural areas.E. To decrease the variability in estimates of the mean commuting time.

Step-by-step explanation:

(1.7x10^4) x (8.5x10^-2)

17000 × 0.085

= 1445

Answer:

x=6

Step-by-step explanation:

2x-5x+20=-7+5x-21

-3x-5x=-7-21-20

-8x=-48

x=6

Answer:

x=6

Step-by-step explanation:

2x-5x+20=5× -28

-3x+20=5x-28

-8x=-48

x=6

check:

2x-5(2)=-30-28

12-10=2

2=2

Answer:

D.) the solution is 9

Step-by-step explanation:

9x9 = 81

Balance of trade is the difference that is between the value of a country's exports and the value of its imports.

Your information is incomplete. Therefore, an overview will be given. The balance of trade or net exports, is the difference between the monetary value of a nation's exports and imports over a period.

The balance of Trade formula = Country's Exports – Country's Imports.

For example, suppose the USA imported $1.8 trillion but exported $1.2 trillion to other countries, then the USA had a trade balance of -$600 billion.

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Answer:

The correct answer is A. $6,221,000,000

Step-by-step explanation:

just took the test

Given :-

[tex] \\ \\ [/tex]

To find :-

[tex] \\ \\ [/tex]

We know. :-

[tex] \boxed{ \rm Area_{(triangle)}= \frac{1}{2} \times base \: \times heigt}[/tex]

[tex] \\ [/tex]

By using this formula we can find base of triangle.

[tex] \\ \\ [/tex]

So:-

[tex] \dashrightarrow\sf Area_{(triangle)}= \frac{1}{2} \times base \: \times heigt \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\sf 10.6= \frac{1}{2} \times base \: \times 4\\ [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\sf 10.6= \frac{1}{ \cancel2} \times base \: \times \cancel4\\ [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\sf 10.6= \frac{1}{1} \times base \: \times 2\\ [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\sf 10.6 = base \: \times 2\\ [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\sf base \: \times 2 = 10.6 \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\sf base= \frac{10.6}{2} \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\bf base= 5.3 \: cm \\ [/tex]

Answer:

No

Step-by-step explanation:

Since a is in absolute value symbols, you would be adding a positive number to 1, and therefore cannot have a number lower than 0.

For example, say a = -3. We would get 1 + |-3| = 4.

Answer:

No

Step-by-step explanation:

Because the vertical lines mean the absolute value of a.

-  a negative value of a like -2 in vertical lines  has absolute value 2.

If a = 0 then absolute value = 0.

So 1+|a|   will always be positive.

Answer:

Step-by-step explanation:

Circumference of a circle = 2πr

where

r is the radius

From the question

r = 20 cm

We have

C = 2(20)π

= 40π

= 125.663706143592...

We have the final answer as

Hope this helps you

Answer:

k = 8

Step-by-step explanation:

8(10 - k) = 2k

First, distribute within the parenthesis,

80 - 8k = 2k

Add 8k to both sides of the equation

80 = 10k

Divide both sides by 10 to get your answer

8 = k

I hope this helps :)

Answer:

14 inches

Step-by-step explanation:

To calculate the area of a square, multiply the base by itself, which can be expressed as side × side. If a square has a base of length 8 inches its area will be 8 × 8= 64 square inches. Area of a square is given by: A = a2. where a = length of side. Perimeter of a square = 4a.

14 is the answer

Answer:

In this case, the area is more useful to find out how much the paint covers.

This is, because the circumference is the perimeter of the table whilst the area is the whole region of the table.

So to find out the area of this table, we must use the formula for the area of a regular circle.

A = π[tex]r^{2}[/tex]

Where 'π' represents pi(22/7 or 3.14), and 'r' represents the radius which is being squared.

But, if we see the information that we have, we can see that it gives the diameter and not the radius.

So in order to find out our radius, we must perform 1/2 of the diameter(1/2 x diameter) to find the radi.

30(diameter) x 1/2

= 15 is the radius.

Now we substitute this value into our equation, since it's the only information we need.

A = π[tex]r^{2}[/tex]

A = 3.14(15^2)

A = 3.14(225)

A = 706.5 square inches of paint is needed to cover the table.

Answer:

16 horses and 12 chickens

Number of chickens and Number of horses are 16 and 12 respectively.

Given that:

Total number of heads = 28

Total number of legs = 80

Find:

Number of chickens and horses

Computation:

Assume;

Number of chickens = a

Number of horses = b

So,

a + b = 28 ........ Eq1

2a + 4b = 80 ...... Eq2

From Eq1 and Eq2

b = 12

a = 16

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Answer:

197 in^2

Step-by-step explanation:

See attached image

Answer:

The third option, x < -2 or x ≥ 4

Step-by-step explanation:

First, we need to interpret the graph.

There is an open circle at -2 and a closed circle at 4, which means that x does not include 2 and includes 4.

The left arrow points to numbers lower than -2, and the right arrow points to numbers greater than 4, so X is less than -2 and greater than 4.

Answer:

60%

Step-by-step explanation:

The total is 90 students, and 54/90 is 0.6. 0.6 is equal to 60%!

Answer:

1. H, - 6/5

2. B, 8

3. B, 15

4. B, integer

5. F

Step-by-step explanation:

Hope this helps and pls do mark me brainliest if you can:)

Answer:

Question 1

The greatest number of treasure chest you can fill = 23

Step-by-step explanation:

Gold coins = 46

Diamonds = 115

Rubies = 184

To determine the greatest number of treasure chests you can fill, find the highest common factors of 46, 115 and 184

46 = 1, 2, 23, 46.

125 = 1, 5, 23, 115

184 = 1,2,4,8,23,46,92,184

The highest common factors of 46, 115 and 184 is 23

The greatest number of treasure chest you can fill = 23

Number of gold coins in each chest = 46/23

= 2

Number of diamonds in each chest = 115 / 23

= 5

Number of rubies in each chest = 184 /23

= 8

Question 2

Nickels = 246

Dimes = 312

Quarters = 204

Find the highest common factor of 246, 312, 204

246 = 1, 2, 3, 6, 41, 82, 123, 246

312 = 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312.

204 = 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

The highest common factor of 246, 312, 204 is 6

How many are in your group?

6 members

There are 6 members in your group that each person got the same exact amount of each coin with no coins remaining.

Number of nickels each person receive = 246 / 6

= 41

Number of dimes each person receive = 312 / 6

= 52

Number of quarters each person receive = 204 / 6

= 34

Answer:

1.  B

2. A

3. C

4. A

I hope this helps!

vect u for (2 ; 5) and (6 ; 4) :

vect u (6 - 2 ; 4 - 5)

=> vect u ( 4 ; - 1 )

Step-by-step explanation:

total weight = 81 + 97+69+75+74+96+86+53 = 613kg

2 people will have to wait

Answer:

The loser had 5.5 points

The he winner had 9.5  points

Step-by-step explanation:

9.5 - 5.5 = 4

5.5 + 9.5 = 15

Step-by-step explanation:

find distance of AC first

ac= √(y2-y1)²+(x2-x1)²

since there is no y we will consider it zero

so Ac= √(16-(-8))²

ac=24

ab is 1/3 of ac so it means

24*1/3=8

so ab is 8 units

The location of point B on the number line is 0.

Given that,
on the number line, point b is between points a and c. the distance between points a and b is 1/3 of ac.

A number line is defined as the number marked on the line calibrated into an equal number of units. For example -1, 0, 1, and so on.

Here,
AB = 1/3 AC
AB = 1/3 (16 - (-8))
AB = 1/3 (16 + 8)
AB = 1/3 * 24
AB = 24 / 3
AB = 8
B - A = 8
B - (-8) = 8
B + 8 = 8
B = 8 - 8
B = 0

Thus, location of the point B on the number line is at 0.

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Answer:

y=-5x+25

That is the answe in slope intercept form

Answer:

100.695

Step-by-step explanation:

Answer:

2.1 x 10^8

Step-by-step explanation:

The expression (7x10⁵)x(3x10²) in the standard form will be 2.1 x 10⁸.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the expression is (7x10⁵)x(3x10²). The standard form of the expressions can be written as,

E = (7x10⁵)x(3x10²)

E = ( 7 x 3 ) x ( 10⁵⁺²)

E = 21 x 10⁷

E = 2.1 x 10⁸

Hence, the standard form is 2.1 x 10⁸.

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Answer:

The solution to the system is: (3, 2)

Step-by-step explanation:

We are given:

y = -2x + 8

and

4x - 2y = 8

We are given the "y" in this equation.

So when solving these questions, it is better to use the substitution method when solving

So we substitute "y = -2x + 8" with "y" in the equation "4x - 2y = 8

So, the equation would look like this: 4x - 2(-2x + 8) = 8

And we are solving for "x" in the equation

4x − 2(−2x + 8) = 8  (Distribute)

−2(−2x+8)  (Simplify)

4x + 4x − 16 = 8  (Combine Like Terms)

(4x + 4x) − 16 = 8  (Simplify)

8x − 16 = 8  (Add 16 to both sides)

8x - 16 + 16 = 8 + 16  (Simplify)

8x = 24  (Divide both sides by 8)

8x/8 = 24 (Simplify)

x = 3

Now that we know the "x", in this equation, we can solve for the "y"

We just substitute the "x" into the equation "y = -2x + 8"

The equation looks like this: y = -2(3) + 8

y = -2(3) + 8

Multiply −2 and 3 to get −6

y = -6 + 8

Add −6 and 8 to get 2

y = 2

(x, y) = (3, 2)

The solution to the system is: (3, 2)

w = 60 lb (amt. of walnuts needed)

100-w = 40 lb (amt. of peanuts needed)