Students in an introductory college economics class were asked how many credits they had earned in college, and how certain they were about their choice of major. Their replies are summarized below.
Degree of Certainty
credits earned very uncertain Somewhat Certain very certain Row tot
under 10 24 16 6 46
10 through 59 16 8 20 44
60 or more 2 14 22 38
col total 42 38 48 128
Under the assumption of independence, the expected frequency in the upper left cell is:__________.
A. 2.47
B. 14.56
C. 2.00
D. 11.09

Answer:

28

Step-by-step explanation:

Answer:

3 gallons

Step-by-step explanation:

as u can travel 32 miles on 1 gallon, 32 x 3 = 96 so 1 x 3= 3

21(x+1)=21x+21?

3*6x=18x

Answer:

4. John drove 25 miles in 1 hour

Step-by-step explanation:

The unit rate is the number of something per unit. There should be a first number and the second number should always be 1.

The statement which best describes a unit rate is John drove 25 miles in 1 hour .

Unit rate can be defined as the ratio between two measurements with the second term as 1. It is considered to be different from a rate, in which a certain number of units of the first quantity is compared to one unit of the second quantity.

According to the question

Best describes a unit rate is that which have second term as 1 unit

So,

Only John drove 25 miles in 1 hour satisfy the condition ,

Hence, The statement which best describes a unit rate is John drove 25 miles in 1 hour .

To know more about unit rate here:

https://brainly.com/question/11258929

#SPJ2

Correct Question :-

Given :-

We need to find :-

Solution :-

Using proportion ,

By means & extremes ,

=> - 7x = - 21 × 9

=> x = ( - 21 × 9 ) / - 7

=> x = 3 × 9

=> x = 27

Hence , when y = 9 → x = 27

Answer:

that would be true

Step-by-step explanation:

Answer:FALSE

Step-by-step explanation:

Without any more information, the first term can be any number.

Let a be the first term in the geometric progression, and let r be the common ratio between consecutive terms. Then

a + ar + ar ² + ar ³ + ar ⁴ + ar ⁵ = 9 (a + ar + ar ²)

ar ³ + ar ⁴ + ar ⁵ = 8 (a + ar + ar ²)

r ³ + r ⁴ + r ⁵ = 8 (1 + r + r ²)

r ³ (1 + r + r ²) = 8 (1 + r + r ²)

r ³ = 8

r = 2

Now with this ratio, the sum of the first six terms is

a (1 + r + r ² + r ³ + r ⁴ + r ⁵) = a (1 - r ⁶)/(1 - r) = 63a

while the sum of the first three terms is

a (1 + r + r ²) = a (1 - r ³)/(1 - r) = 7a

and of course 63a = 9 • 7a, and this is true for any a.

Answer:

C

Step-by-step explanation:

Step-by-step explanation:

the 3rd angle = 180 - ( 35+80 ) = 65

Answer:

65

Step-by-step explanation:

let the third angle be y

y+35+80=180

y+115=180

y=180-115

y=65

Answer:

1 cm = 20 km

so 3.5 cm would equal : 3.5 * 20 = 70 km

hope it helps ;)

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

-4(-5)+2

20+2

22

Answer:

Concept: Series

Answer:

[tex]\frac{f(20)-f(0)}{20-0} = \frac{220.2-175}{20} = 2.26[/tex]

Step-by-step explanation:

as with all functions f(t), the average rate of change on [a.b] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

Answer:

[tex]m∠1 + m∠2 = 180[/tex]

Step-by-step explanation:

[tex]m∠1 = m∠3 \\ m∠2 = m∠4[/tex]

[tex]m∠ 1 = m∠3 \\ 60 = 60[/tex]

[tex]360 - m∠1 + m∠3 = m∠2 + m∠4[/tex]

[tex]360 - 60 + 60 = m∠2 + m∠4[/tex]

[tex]360 - 2(60) = m∠2 + m∠4[/tex]

[tex]360 - 120 = m∠2 + m∠4[/tex]

[tex]240 = m∠2 + m∠4[/tex]

[tex] \frac{240}{2} = m∠2 = m∠4[/tex]

[tex]120 = m∠2 = m∠4[/tex]

[tex]m∠2 = 120 \\ m∠4 = 120[/tex]

[tex]m∠1 = 60 \\ m∠3 = 60[/tex]

[tex]m∠2 = 120 \\ m∠4 = 120[/tex]

[tex]m∠1 + m∠2 + m∠3 + m∠4 { = }^{?} 360[/tex]

[tex]60 + 120 + 60 + 120 { = }^{?} 360[/tex]

[tex]2(60) + 2(120) { = }^{?} 360[/tex]

[tex]120 + 240 { = }^{?} 360[/tex]

[tex]360 = 360[/tex]

[tex]m∠1 + m∠2 [/tex]

[tex]60 + 120 = 180[/tex]

[tex]m∠1 + m∠2 = 180[/tex]

Answer: $151.20

Step-by-step explanation:  8 percent of 140. Add this number to 140.

[tex]\frac{x}{140} = \frac{8}{100}[/tex]

100x=112

x=11.2

Answer:

15.625

Step-by-step explanation:

Answer: The average length of time that the 25 customers waited before leaving the bank.   e. Statistic

The list of times for the 25 customers who left the bank.   f.Data

All of the bank's customers                                         d. Population

The 25 customers that the manager observed leave.         c. Sample

The length of time a customer waits before leaving the bank.  a. Variable.

The average length of time that all customers will wait before leaving the bank a. Parameter

Step-by-step explanation:

A data is a list of observations.

In statistics, a variable is an attribute that defines  a person, place, thing, or thought.

A large group that have similar individuals as per the researcher's point of view is known as population, where its subset is known as sample.

The measure of certain characteristic in population is known as parameter, where for sample it is known as statistic.

The correct description of the given examples are:

The average length of time that the 25 customers waited before leaving the bank.  

The list of times for the 25 customers who left the bank.  

All of the bank's customers                                        

The 25 customers that the manager observed leave.        

The length of time a customer waits before leaving the bank.  

The average length of time that all customers will wait before leaving the bank

We can see that a bank manager is interested in finding out the average wait time which each customer has to wait and we can see that this is known as a parameter.

Read more about variables here:

https://brainly.com/question/3766847

Answer:

third and fifth

Step-by-step explanation:

Answer:

Do u have English version?

Step-by-step explanation:

Step-by-step explanation:

Let the width=x

Length =6x-4

As we know that in a rectangle

[tex]{\boxed{\sf Area=LB}}[/tex]

[tex]\hookrightarrow\sf x (6x-4)=20 [/tex]

[tex]\hookrightarrow\sf 6x^2-4x=20 [/tex]

[tex]\hookrightarrow\sf 6x^2-4x-20=0 [/tex]

[tex]\hookrightarrow\sf x=\dfrac {1}{3}+\dfrac {1}{3}\sqrt {31} \quad or \quad \dfrac {1}{3}+\dfrac {-1}{3}\sqrt {31}[/tex]

Answer:

Line A is x = -3

Line B is y = 2.5

Step-by-step explanation:

The equation of circle with center at P ( -4 , 9 ) and diameter 10 units is given by ( x + 4 )² + ( y - 9 )² = 25

A circle is a closed figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle

The circumference of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

The standard form of a circle is

( x - h )² + ( y - k )² = r²,

where r is the radius of the circle and (h,k) is the center of the circle.

The equation of circle is ( x - h )² + ( y - k )² = r²

For a unit circle , the radius r = 1

x² + y² = r² be equation (1)

Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )

Given data ,

Let the equation of circle be represented as A

Now , the value of A is

Let the center of the circle be P ( -4 , 9 )

Let the diameter of the circle be d = 10 units

So , the radius of the circle r = d/2 = 5 units

And , standard form of a circle is

( x - h )² + ( y - k )² = r²,

So , the equation of circle is

( x + 4 )² + ( y - 9 )² = 25

Hence , the equation of circle is ( x + 4 )² + ( y - 9 )² = 25

To learn more about equation of circle click :

https://brainly.com/question/28391204

#SPJ7

Answer:

120 Girls

Step-by-step explanation:

First, you have to combine the dark shade girls and the light shade girls together to get 7.

Then, you should divide 210 by 7, to get 30

Finally, using 30 as your multiplier,

you go and multiply 30 x 4 to get 120 girls :D

Answer:

1460 Days

Step-by-step explanation:

365*4

Answer:

1460 days.

Step-by-step explanation:

Answer:

x = - 8, x = - 6

Step-by-step explanation:

Given

8 | x + 7 | - 3 = 5 ( add 3 to both sides )

8 | x + 7 | = 8 ( divide both sides by 8 )

| x + 7 | = 1

The expression inside the bars can be positive or negative, thus

x + 7 = 1 or - (x + 7) = 1 ← 2 equations to be solved

x + 7 = 1 ( subtract 7 from both sides )

x = - 6

or

-(x + 7) = 1

- x - 7 = 1 ( add 7 to both sides )

- x = 8 ( multiply both sides by - 1 )

x = - 8

Answer:

$1

Step-by-step explanation:

Commission earned on sale = 2%

Total sales made = $50

Commission earned for this sale :

Commission percent * worth of sales made

0.02 * $50

= $1

Answer:

Step-by-step explanation:

2 dollars

Answer:

$2.00

Step-by-step explanation:

Answer:

21 memebers must be present

Step-by-step explanation:

First we have to convert the percent to decimal form for an easier calculation. Do this by taking 60 and dividing by 100.

You should get 0.60, now just multiply .60 by 35 and you'll get the answer of 21.