Kevin recorded the ages of the next 12 people who entered his grocery store. He asked his brother John to find the mean, median, and the mode of the data set: [ 6,18,8,4,18,20,10,10,21,6,17,18]. John's results are shown. mean =156/12=13. median = 20+10/2=15, mode=10. I'll post a picture of the questions. ​

Answer:

y=6x-18

Step-by-step explanation:

To find the standard equation of a linear relationship given two points, you need to find the slope and y intercept.

slope is change in y divided by change in x.

(6-0)/(4-3)

(6)/(1)

The slope of the line is 6.

We can plug this in along with x and y values from a given coordinate into the standard equation format to solve for b, the y intercept.

y=mx+b

y=0

x=3

m=6

0=6(3)+b

0=18+b

b=-18

now we know that the y intercept is (0,-18). The standard equation would be y=6x-18

Answer:

Ф = 10°

Step-by-step explanation:

Regarding arc length, s:  s = r·Ф, where Ф is the central angle in radians and r is the radius.

We need to find the central angle, Ф, in this problem.

We know that C = circumference = 6, and that this leads to r = 6/π.

Substituting 6/π for r and 1/3 for s in Ф = s / r, we get:

Ф in radians = 1/3  /  (6/π), or  Ф = π/18 rad.    

                                                                           π         180°

Converting this into degrees, we multiply    ------ by ----------

                                                                           18        π rad

obtaining:  Ф = 10°

Answer:

20

Step-by-step explanation:

____________________________________________________

Answer:

It represents the cost of the DVD player.

____________________________________________________

Step-by-step explanation:

The reason why it represents the cost of the DVD player is because in the question, it doesn't mention anything about buying multiple DVD players. Ebony would need to buy many DVD's, but doesn't need many DVD players because ebony could use one for all of the DVD's. If you noticed in the question, it says "a DVD player," what  this means is that Ebony is only going to buy one DVD player, since it's singular (without and s at the end).

The equation is saying that she starts off with buying 1 DVD player for 200 dollars; and, she is buying n (number of DVDs) for 20 dollars each.

This shows that the 200 in the equation in the question represents the cost of the DVD player.

____________________________________________________

Answer:

[tex]\large\boxed{S.A.=100\pi\ cm^3\approx314\pi\ cm^2}[/tex]

Step-by-step explanation:

The formula of a volume of a sphere:

[tex]V=\dfrac{4}{3}\pi R^3[/tex]

R - radius

We have

[tex]V=\dfrac{500}{3}\pi\ cm^3[/tex]

Substitute and solve for R:

[tex]\dfrac{500}{3}\pi=\dfrac{4}{3}\pi R^3[/tex]        divide both sides by π

[tex]\dfrac{500}{3}=\dfrac{4}{3}R^3[/tex]          multiply both sides by 3

[tex]500=4R^3[/tex]                divide both sides by 4

[tex]125=R^3\to R=\sqrt[3]{125}\\\\R=5\ cm[/tex]

The formula of a Surface Area os a sphere:

[tex]S.A.=4\pi R^2[/tex]

Substitute:

[tex]S.A.=4\pi(5^2)=4\pi(25)=100\pi\ cm^2[/tex]

[tex]\pi\apprx3.14\to S.A.\approx(100)(3.14)=314\ cm^2[/tex]

I think this is the answer X = 3 + 1/2y

The solutions for the system of equations are:

[tex]\[ (x, y) = (\sqrt{6}, 0), (-\sqrt{6}, 0), (\sqrt{5}, -1), (-\sqrt{5}, -1) \][/tex]

To solve the system of equations[tex]\(x^2 + y^2 = 6\)[/tex] and [tex]\(x^2 - y = 6\)[/tex], we can use substitution or elimination method. Let's solve it using the substitution method:

Given equations:

1.[tex]\(x^2 + y^2 = 6\)[/tex]

2.[tex]\(x^2 - y = 6\)[/tex]

From equation 2, we can express [tex]\(x^2\) as \(y + 6\):[/tex]

[tex]\[x^2 = y + 6\][/tex]

Now, substitute [tex]\(x^2 = y + 6\)[/tex] into equation 1:

[tex]\[y + 6 + y^2 = 6\][/tex]

Rearrange this equation:

[tex]\[y^2 + y + 6 = 6\][/tex]

Subtract 6 from both sides:

\[y^2 + y = 0\][tex]\[y^2 + y + 6 = 6\][/tex]

Factor out y:

[tex]\[y(y + 1) = 0\][/tex]

So, either [tex]\(y = 0\)[/tex] or [tex]\(y + 1 = 0\)[/tex] , which means[tex]\(y = 0\)[/tex]  or [tex]\(y = -1\).[/tex]

Now, substitute these values of y back into equation 2 to find the corresponding values of x.

For [tex]\(y = 0\):[/tex]

[tex]\[x^2 - 0 = 6\][/tex]

[tex]\[x^2 = 6\][/tex]

[tex]\[x = \pm \sqrt{6}\][/tex]

For [tex]\(y = -1\):[/tex]

[tex]\[x^2 - (-1) = 6\][/tex]

[tex]\[x^2 + 1 = 6\][/tex]

[tex]\[x^2 = 5\][/tex]

[tex]\[x^2 = 5\][/tex]

So, the solutions for the system of equations are:

[tex]\[ (x, y) = (\sqrt{6}, 0), (-\sqrt{6}, 0), (\sqrt{5}, -1), (-\sqrt{5}, -1) \][/tex]

The system has four solutions: [tex]\((\sqrt{6}, 0)\), \((- \sqrt{6}, 0)\), \((\sqrt{5}, -1)\), and \((- \sqrt{5}, -1)\).[/tex]

Complete question:

Choose the solution(s) of the following system of equations:

x2 + y2 = 6

x2 – y = 6

Answer:

(3, 2)

Step-by-step explanation:

Given a graphical representation of a system of equation then the solution is at the point of intersection of the 2 lines, that is

solution is ( 3, 2)

Answer: C. 0.60

Step-by-step explanation:

From the given table , the number of students are junior : 60

The total number of students = 137

The probability of selecting any junior is given by  :-

[tex]\text{P(Junior)}=\dfrac{60}{137}[/tex]

The number of juniors which who attended Jazz = 36

Then , the probability of selecting a students is junior and attends jazz is given by  :-

[tex]\text{P(Junior and Jazz)}=\dfrac{36}{137}[/tex]

Now, the conditional probability  that the student attended the jazz concert given that student is a junior  will be :-

[tex]\text{P(Jazz}|\text{Junior)}=\dfrac{\dfrac{36}{137}}{\dfrac{60}{137}}\\\\\\=\dfrac{6}{10}=0.60[/tex]

Answer: it’s 0.60

(I just took it)

The eggs are approximately 2.1 and which each turtle does not lay 113 they lay 123 eggs each year around which you subtract it all up and it comes out to 120.9.then the you divide all up which gives you your answer to your problem.

Final answer:

The volume of one spherical green turtle egg with a diameter of 4.1 cm is approximately 36.2 cubic centimeters. The total volume of 113 such eggs is about 4091.6 cubic centimeters when rounded to the nearest tenth.

Explanation:

To calculate the volume of one green turtle egg, we use the formula for the volume of a sphere, which is V = 4/3 πr³, where r is the radius of the sphere. Since the egg has a diameter of 4.1 centimeters, the radius is half of that, which is 2.05 centimeters. Plugging this value into the formula gives us V = 4/3 π(2.05 cm)³ ≈ 36.2 cubic centimeters when rounded to the nearest tenth.

Next, we calculate the total volume of eggs laid by one turtle. Since each turtle lays 113 eggs, the total volume is 113 × 36.2 cm³ = 4091.6 cm³, which rounds to 4091.6 cubic centimeters.

Answer:

Ratio.

Step-by-step explanation:

A logarithmic function is an appropriate model because, for evenly spaced y-values, the ratio of consecutive x-values is constant. This is the correct answer to your question.

Hope this helps!!!

Kyle.

Answer:

Step-by-step explanation:

Whenever a function is logarithmic function, we get for evenly spaced y,

say y = log x

     y+d = log x1

     y+2d = log x2

We get

d = [tex]log \frac{x_1}{x} =log \frac{x_2}{x_1}[/tex]

In other words we get the ratios of consecutive x values is constant equal to the difference in consecutive y's.

Answer:

(I'm guessing the question is asking how much money Brady needs to pay.)

Step-by-step explanation:

21-5

(the original amount minus the 5 gallons he already has)

= 16.

so Brady needs 16 gallons.

and every gallon is 1.4

so 16 * 1.4

= 22.40

So brady needs 22.40 dollars.

The total cost of 16 gallons of gas is $22.4.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, 21 miles per gallon for gas mileage.

When he stops at the gas station, he already has 5 gallons of gas in his tank.

So, 21-5=16 miles

He buys gas for $1.40 per gallon

Now, total cost = 16×1.40

= $22.4

Therefore, the total cost of gas is $22.4.

To learn more about the unitary method visit:

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Answer:

[tex]x=3+\frac{\sqrt{4L^{2}+1}}{L}[/tex] and [tex]x=3-\frac{\sqrt{4L^{2}+1}}{L}[/tex]

Step-by-step explanation:

we have

[tex]L=\frac{1} {\sqrt{x^2-6x + 5}}[/tex]

Solve for x

That means-----> isolate the variable x

squared both sides

[tex]L^{2} =(\frac{1} {\sqrt{x^2-6x + 5}})^{2}\\ \\L^{2}=\frac{1} {{x^2-6x + 5}}\\ \\x^2-6x + 5=\frac{1}{L^{2}}\\ \\x^2-6x=\frac{1}{L^{2}}-5\\ \\x^2-6x+9=\frac{1}{L^{2}}-5 +9\\ \\x^2-6x+9=\frac{1}{L^{2}}+4\\ \\(x-3)^2=\frac{4L^{2}+1}{L^{2}}[/tex]

Take the square root both sides

[tex](x-3)=(+/-)\sqrt{\frac{4L^{2}+1}{L^{2}}}\\ \\x=3(+/-)\frac{\sqrt{4L^{2}+1}}{L} [/tex]

therefore

[tex]x=3+\frac{\sqrt{4L^{2}+1}}{L}[/tex]

[tex]x=3-\frac{\sqrt{4L^{2}+1}}{L}[/tex]

Answer:

C: x=-4

Step-by-step explanation:

I would suggest using the website desmos.com to help you graph your equations.

As shown on the graph I posted, f(x)=g(x) at x=-4

Answer:

Step-by-step explanation:

Given are two functions f(x) and g(x)

[tex]f(x) = \frac{2}{x+3} +1\\[/tex]

and

[tex]g(x) = -|x+3|[/tex]

The two would be equal if

[tex]\frac{2}{x+3} +1=x+3 or -x-3\\\frac{2}{x+3} =x+2 /-x-4\\2=x^2+5x+6/-(x^2+7x+12)\\x^2+5x+6=0 / x^2+7x+14=0[/tex]

x=-4 or -1

Of these x=-4 is consistent as when x=-4, x<-3 hence

|x+3|= 1

So answer is -4

Answer

Square root 15

Step-by-step explanation:

When you square root the number 15 it will give you a decimal number with a lot of numbers that can't be rationalized. However the square root of 25 can be seen as 5, 1.15 is a rationalized number, 4th option can be seen 1.255555555... which is still rational.

Answer:

x^3-10 is greater

Step-by-step explanation:

3(6)+5=18+5=23

6^3-10=206

206>23

Answer:

I believe the answer is c because 4.5 can fit in BP almost 4 times so it is most accurate sorry if I'm wrong

Factors of 35 :

1, 5, 7, 35

Answer:

1,5

Step-by-step explanation:

Answer:

Step-by-step explanation:

You want an expression representing the cash flow of a taxi driver after giving three rides, filling the gas tank, then giving one more ride.

At $3.50 per mile, the driver will have income that is $3.50 multiplied by the number of miles for the ride. These income amounts are added.

A payment of $50 for gas is subtracted from the driver's income.

The desired expression is ...

  3.50×10 +3.50×5.5 +3.50×19 -50 +3.50×26

The value of the expression is $161.75.

The driver had $161.75 after the last ride.

Answer:

n = 19

Step-by-step explanation:

22n = 418

Divide both sides by 22.

n = 19

Answer:

$90, $135, $189

Step-by-step explanation:

Since the first part of the ratio is two- thirds of the second, then

first part = [tex]\frac{2}{3}[/tex] × 5 = [tex]\frac{10}{3}[/tex]

The ratio is then

[tex]\frac{10}{3}[/tex] : 5 : 7

Sum the 3 parts of the ratio

[tex]\frac{10}{3}[/tex] + 5 + 7 = [tex]\frac{46}{3}[/tex]

Divide the amount to be shared by the sum to find the value of one part of the ratio.

$414 × [tex]\frac{3}{46}[/tex] = $27 ← value of 1 part of the ratio, then

[tex]\frac{10}{3}[/tex] × $27 = $90

5 × $27 = $135

7 × $27 = $189

The 3 parts are $90, $135, $189

Answer:

C

Step-by-step explanation:

There are 4 lines in between 2 consecutive integers, so each division is:

1/4 = 0.25

As we see from the graph, the highest miles is at the division before 2, which is 1.75

Also, the lowest miles is at 0.

Hence, difference in highest and lowest is 1.75 - 0 = 1.75

In fraction, [tex]1.75=1\frac{3}{4}[/tex]

correct answer C

Answer:

In the TRUE column:

- 0.65 pound of almonds costs $2.20

- the price per pound of almonds equals $2.20/0.65

That's basically the same information, presented 2 different ways, and they match the info presented in the graph.

In the FALSE column:

- 2.2 pounds of almonds cost $0.65 (nope, wrong numbers)

- Almonds cost $0.65 per pound (nope, they cost $3.38 per pound)

In the CANNOT BE DETERMINED column:

- Each bag of almonds weighs 2.2 pounds. (Cannot be verified, but it's highly unlikely since the price point on the graph is at 0.65 pounds)

Answer:

x = -5 * (2)^(n-1)

Step-by-step explanation:

If we look a the supplied n elements of the sequence, and we divide each of them by -5.

1 = -5, -5/-5 = 1

2 = -10, -10/-5 = 2

3 = -20, -20/-5 = 4

4 = -40, -40/-5 = 8

We realize that we have all the powers of 2 there.

So the formula will start with -5 (the first element), then multiplied by a power of 2.

[tex]x = -5 (2)^{n-1}[/tex]

We can verify for the 4th element, where n = 4:

[tex]x = -5 (2)^{n-1} = -5 (2)^{4-1}  = -5 (2)^{3}  = -5 * 8 = -40[/tex]

Answer:

x = -5 * (2)^(n-1)

Step-by-step explanation:

Answer:

The probability your mean age will be at least 37 is approximately 26%

Step-by-step explanation:

Let X denote the ages of all new employees hired during the last 10 years , then X is normally distributed with;

a mean of 35

a standard deviation of 10.

The sample size obtained is 10 employees. This implies that the sampling distribution of the sample mean will be normal with;

a mean of 35

a standard deviation of [tex]\sqrt{10}[/tex]

The sample mean is a statistic and thus has its own distribution. Its mean is equal to the population mean, 35 and its standard deviation is equal to [tex]\frac{sigma}{\sqrt{n} }[/tex]

where sigma is the population standard deviation, 10 and n the sample size which in this case is 10. [tex]\frac{10}{\sqrt{10} }=\sqrt{10}[/tex]

We are required to find the probability that this sample mean age will be at least 37;

P(sample mean ≥ 37)

Since we know the distribution of the sample mean we simply standardize it to obtain the z-score associated with it;

P(sample mean ≥ 37)

=[tex]P(Z\geq \frac{37-35}{\sqrt{10} })=P(Z\geq0.6325)=1-P(Z<0.6325)[/tex]

=1 - 0.7365 = 0.2635

=26%

Answer:

Step-by-step explanation:

[tex]t_1=64\\\\t_n=\dfrac{t_{n-1}}{2}\\\\\text{Therefore}\\\\t_2=\dfrac{t_1}{2}\to t_2=\dfrac{64}{2}=32\\\\t_3=\dfrac{t_2}{2}\to t_3=\dfrac{32}{2}=16\\\\t_4=\dfrac{t_3}{2}\to t_4=\dfrac{16}{2}=8\\\\t_5=\dfrac{t_4}{2}\to t_5=\dfrac{8}{2}=4\\\\t_6=\dfrac{t_5}{2}\to t_6=\dfrac{4}{2}=2\\\\t_7=\dfrac{t_6}{2}\to t_7=\dfrac{2}{2}=1\\\vdots[/tex]

ANSWER

[tex]y= - 4x + 18[/tex]

EXPLANATION

The given line has equation;

[tex]y = - 4x + 5[/tex]

The slope of this line is

-4

The given line is parallel to this line so it has the same slope:

[tex]m = - 4[/tex]

The equation of this line is in the form:

[tex]y-y_1=m(x-x_1)[/tex]

We substitute the slope and the point:

(3,6)

[tex]y-6= - 4(x-3)[/tex]

[tex]y= - 4x + 12+ 6[/tex]

[tex]y= - 4x + 18[/tex]

Answer:

There were 10 people in team one.

Step-by-step explanation:

Let x= team one.

Let y= team two

Because there four times less people in team one than in two we know that x=(1/4)y

After 6 people quit and 12 people transfer from team two, the two teams become equal. Therefore, x + 12 = y - 6 - 12.

You can then insert the initial equation for x into the second equation and know that there were 10 people in team one and 40 people in team two.

The process to solve this problem involves setting up an equation based on the given information and solving for x, which represents the original number of people on team one. The numerical answer is 10 people.

Let's denote the original number of people in team one as 'x'. Therefore, since team two had 4 times more people than team one, team two originally had '4x' people. The problem then tells us that 12 people were transferred from team two to team one and 6 people quit team two. This means that team two now has '4x - 12 - 6' people and team one has 'x + 12' people. Because both teams are equal in size after these changes, we can set these two expressions equal to each other. So, 'x + 12' is equal to '4x - 18'. Solving this equation for 'x' gives us x = 10.

So originally, team one had 10 people.

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Answer:

Identity Property of Addition.

Answer:

Reason which completes the proof of step 4 is:

Identity property of addition

Step-by-step explanation:

-(a+b)+a= -b

= -a+ (-b)+a   (distributive property)

= -a+a+(-b)     (Commutative property of Addition)

= 0+ (-b)        (Additive inverse property)

= -b         (Identity property of addition)

(Identity property of addition says that if 0 is the identity element and a is any element

Then, a+0=0+a=a)

So, reason which completes the proof of step 4 is:

Identity property of addition

Answer:

C = 16pi

Step-by-step explanation:

Since we are evaluating for the circumference, we plug in the r. Since r=8, we get 2*pi*8 or 16pi.

answer should be C gl btw

Answer: B

Step-by-step explanation:

y = azaleas

x = lilies

6y + 5x =196 total cost

y + x = 36 total number of items

y = 36 – x

6(36 -x ) +5x =196

216 – 6x + 5x = 196

-x = 196 – 216

-x = -20

Divide by -1

X = 20 lilies

Plug into y equation

Y = 36 – 20

Y= 16 azaleas

To check

6(16) + 5(20) = 196

96 + 100 = 196

The answer is b 16 because you add the variables into the end of the numbers to identify you answer

Answer:

2b^2

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

5a^4

Step-by-step explanation:

2a^-4

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

5b^-2

Negative exponents go to the denominator when they are in the numerator

and to the numerator when they are in the denominator

a^-4  becomes 1/a^4

1/b^-2  becomes b^2

2/5 * 1/a^4 * b^2

2*b^2 * 1/5a^4

Rewriting

2b^2

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

5a^4