Question 6
Which expression is equivalent to the expression shown?
2
7147²
712
17
716
77

Answer:

Random sample of 500 residents of Story County

Step-by-step explanation:

SAMPLE can be defined as the process in which some group of people are randomly selected from a large population for the sole aim of carrying out statistical analysis that will represent the whole population at large instead of carryingout the SAMPLE on each person.

Therefore based on the information given the best description of the SAMPLE will be the 500 RESIDENT OF STORY COUNTY reason been that we were told that a random SAMPLE of the 500 residents of Story County were collected which in turn represent 80,000 of the residents of Story County at large.

Answer:

Ok I'll help

Step-by-step explanation:

Answer:

Step-by-step explanation:

∠BEF  = ∠CFE             {Alternate interior angles}

5x - 10 = 4x + 20           {Subtract 4x from both sides}

5x - 4x - 10 = 20

        x - 10 = 20          {Add 10 to both sides}

             x  = 20 +10

x = 30°

Answer:

750

Step-by-step explanation:

Answer:

1 inch

Step-by-step explanation:

We would have to convert rick's friends height to inches

1 feet = 12 inches

Friend's height = (12 x 5) + 11 = 71 inches

Difference in height = 72 - 71 = 1

Answer:

Step-by-step explanation:

A is 10

B is 13

C is [tex]\sqrt{43.65}[/tex]

D is [tex]\sqrt{74}[/tex]

Given:

The equation is

[tex]y=x^2+2x+3[/tex]

To find:

The vertex form of the given equation, i.e., [tex]y=x^2+2x+3[/tex].

Solution:

We have,

[tex]y=x^2+2x+3[/tex]

It can be written as

[tex]y=(x^2+2x)+3[/tex]

Add and subtract square of half of coefficient of x, i.e., [tex]\left(\dfrac{2}{2}\right)^2=1[/tex].

[tex]y=(x^2+2x+1)-1+3[/tex]

[tex]y=(x^2+2(x)(1)+1^2)+2[/tex]

[tex]y=(x+1)^2+2[/tex]                   [tex][\because (a+b)^2=a^2+2ab+b^2][/tex]

Therefore, the required form of given function is [tex]y=(x+1)^2+2[/tex].

Answer:

the answer is 5ft wide

Step-by-step explanation:

Hope this helps!

Explanation is in the file

tinyurl.com/wpazsebu

Answer:

Answer is in the photo. I can only upload it to a file hosting service. link below!

is.gd/qKzpBU

Answer:

95°

Step-by-step explanation:

Since both angles are supplementary, they have the same degree.

If angle B = 95°, angle A is also = 95°

Answer:

Step-by-step explanation:

Answer:[tex]60+0.75x[/tex]

Step-by-step explanation:

Given

Veronica charges $60 for each tutoring session

Also, there is an additional charge of $0.75 per mile

Suppose she drive x miles and the total cost is represented by C

the additional cost of driving is [tex]0.75\times x=0.75x[/tex]

[tex]\therefore[/tex] The total cost for the session will be the sum of fixed cost and variable driving cost

[tex]\Rightarrow C=60+0.75x[/tex]

Answer:

y-1=7(x-0)

Step-by-step explanation:

The line perpendicular to y=-1/7+1 is y=7+1 because you find the reciprocal of the slope.

Then find one point on the line since the equation has a y intercept just use (0,1) and put that into point slope

Answer:

y = 6x - 20

Step-by-step explanation:

Perpendicular slope = 6

(3, -2)

y - y1 = m(x - x1)

y + 2 = 6(x - 3)

y + 2 = 6x - 18

y = 6x - 20

Answer:

Solution given:

equation of a line is:

y=-⅛x+4.......[1]

Comparing above equation with y=mx+c

we get

slope [m]=-⅛

let slope of another line is M

since the Lines are perpendicular

so m ×M=-1

we get

M=8

again

the another line passes through(x1,y1) (3,-2)

Equation of another line becomes:

(y-y1)=m2(x-x1)

(y+2)=8(x-3)

y+2=8x-24

8x-y=24+2

8x-y=26

[tex] \frac{8x}{26} - \frac{y}{26} = 1[/tex]

[tex] \frac{4x}{13} - \frac{y}{26} = 1[/tex]

is a required equation of a line in slope intercept form.

Answer:

x = 6   y = 5

Step-by-step explanation:

X VALUE

3x+11 = 5x-1

12 = 2x

x= 6

Y VALUE

4y-1 = 19

4y = 20

y = 5

Answer:

5

Step-by-step explanation:

Answer:

The total would be $80.52. The tip was $12.28

Step-by-step explanation:

18% of 68.24 is 12.2832. I just rounded and called it 12.28. From there I just added it to 68.24 and got 80.52.

Answer:

C. Your team plays 3 preseason games.

Step-by-step explanation:

In the equation y = 2x + 3, y represents the total number of preseason and regular season games that your softball team played this summer.  The variable x represents the number of weeks in the regular season.  Which statement is true?  

A. The regular season lasts 2 weeks.  

B. The preseason lasts 2 weeks.  

C. Your team plays 3 preseason games.  

D. Your team plays 3 regular season games each week.

Solution:

The equation for a linear function is given as:

y = mx + b;

where m is the rate of change and b is the y intercept (that is initial value of y at x = 0), y and x are variables.

Given that y = 2x + 3;

The slope (m) = 2 and the y intercept (b) = 3

This slope means 2 games are played every week during the regular season games. The y intercept means that at before the regular games have start, 3 games have been played. Therefore, the team plays 3 preseason games.

Answer:

18

Step-by-step explanation:

Answer:

Use substitution to receive: 18

Step-by-step explanation:

6a - 4b when a = 5 and b =  3

6(5) - 4(3)

30 - 12 = 18

Answer:

24 i'm pretty sure sorry if i am wrong

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

The median is the middle number of a data set. To find it, you need to put the numbers in order:

12, 15, 17, 19, 19, 20, 24, 26

Then I like to cross off a number from each end, then one more, working my way toward the middle. Doing this, you're left with 19 and 19 in the middle. When you have 2 numbers, you average them. In this case, you don't have to. The median is 19.

Please LMK if you have questions. If you can mark brainliest, I'd appreciate it. If not, I understand. :)

Answer is in the file below

tinyurl.com/wpazsebu

Your Welcome!!!!

The answer is in the picture!!!! :3

Answer:

[tex]m=12\,,n=7[/tex]

Step-by-step explanation:

The magnitude of vector [tex](x,y)[/tex] is given by [tex]\sqrt{x^2+y^2}[/tex]

The magnitude of vector [tex]a=(5,m)[/tex] is [tex]13[/tex].

[tex]\sqrt{5^2+m^2}=13\\5^2+m^2=13^2\\25+m^2=169\\m^2=169-25\\m^2=144\\m=12[/tex]

The magnitude of vector [tex]b=(n,24)[/tex] is [tex]25[/tex].

[tex]\sqrt{n^2+24^2}=25\\n^2+24^2=25^2\\n^2+576=625\\n^2=625-576\\n^2=49\\n=7[/tex]

Therefore,

[tex]m=12\,,n=7[/tex]

Answer: 165 boxes

Step-by-step explanation:

Given

The dimension of the bigger box is  [tex]1\ \frac{1}{4}\times 2\ \frac{3}{4}\times \frac{3}{4}\ ft^3[/tex]

the dimension of the smaller box is  [tex]\frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\ ft^3[/tex]

The volume of the large box

[tex]\Rightarrow V_1=\dfrac{5}{4}\times \dfrac{11}{4}\times \dfrac{3}{4}=\dfrac{165}{64}\ ft^3[/tex]

The volume of the small box

[tex]\Rightarrow V_o=\dfrac{1}{4}\times\dfrac{1}{4}\times \dfrac{1}{4}=\dfrac{1}{64}\ ft^3[/tex]

Suppose there are n small boxes

[tex]\Rightarrow n=\dfrac{V_1}{V_o}[/tex]

[tex]\Rightarrow n=\dfrac{\frac{165}{64}}{\frac{1}{64}}=165\ \text{boxes}[/tex]