Will mark brainliest!
Please explain :)

Answer:

A

Step-by-step explanation:

I took test

Complete Question

Suppose that the amount of time teenagers spend weekly working at part-time jobs is normally distributed with a standard deviation of 40 minutes. A random sample of 15 teenagers was drawn and each reported the amount of the time spent at part-time jobs (in minutes). These are listed here 180, 130, 150, 165, 90, 130, 120, 60, 200, 180, 80, 240, 210, 150, 125. Determine the 95% confidence interval estimate of the population mean.

Answer:

The 95% confidence interval is  [tex] 127.09  <  \mu <  167.57 [/tex]

Step-by-step explanation:

From the question we are told that

   The standard deviation is  [tex]\sigma = 40[/tex]

   The sample size is  n  = 15

     The data given is   180, 130, 150, 165, 90, 130, 120, 60, 200, 180, 80, 240, 210, 150, 125

Generally the sample mean is mathematically represented as

             [tex]\= x = \frac{ \sum x_i}{n }[/tex]

=>          [tex]\= x = \frac{ 130 + 150 + \cdots + 125 }{ 15 }[/tex]

=>          [tex]\= x = 147.33[/tex]

From the question we are told the confidence level is  95% , hence the level of significance is    

      [tex]\alpha = (100 - 95 ) \%[/tex]

=>   [tex]\alpha = 0.05[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  1.96[/tex]

Generally the margin of error is mathematically represented as  

      [tex]E = Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }[/tex]

=>     [tex]E = 1.96  *  \frac{40}{\sqrt{15} }[/tex]

=>     [tex]E =20.24 [/tex]

Generally 95% confidence interval is mathematically represented as  

      [tex] 147.33 -20.24<  \mu <  147.33 + 20.24 [/tex]

      [tex] 127.09  <  \mu <  167.57 [/tex]

Answer:

100s

Step-by-step explanation:

hi there! heres my answer for you...

Answer:

you started at (-5, 4)

Step-by-step explanation:

do what the instructions given said but in reverse. so move up 7 units and move back down 1 unit and you will find where you started.

hope this helps. have a good one!

The coordinate of the point from where we started will be (1, -2).

A spatial transformation is each mapping of feature space to itself and it maintains some spatial correlation between figures.

You move up 1 unit and down 7 units. You end at (-5, -2).

Let the initial coordinate be (x, y). Then the transformation is written as,

(-5, -2) → (x + 1 - 7, y)

Compare the abscissa, then we have

- 5 = x + 1 - 7

x = - 5 - 1 + 7

x = 1

Compare the ordinate, then we have

y = -2

Then the coordinate of the point from where we started will be (1, -2).

More about the transformation of a point link is given below.

https://brainly.com/question/27224339

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Answer: 5 minutes

Step-by-step explanation:

a. Jason's mother to catch him after time of 5minutes.

b. Jason biked for distance of 3miles when his mother catches him.

c.  Mother has to drive with speed of 60mph to catch him at the school door, if Jason's school is 2.5 miles from his apartment.

" Speed is defined as the total distance travelled per unit time."

Formula used

[tex]Speed = \frac{total distance travelled}{total time taken}[/tex]

According to the question,

Speed of Jason bike = 12mph

1hour = 12miles

60minutes = 12miles

1minutes = [tex]\frac{12}{60}[/tex] miles

Speed of Jason's mother bike = 36mph

Time after mother found the homework = 10 minutes

After 10 minutes

Jason is at distance =  [tex]\frac{12}{60} (10)[/tex]

                                 =2miles

After 15 minutes = [tex]\frac{12}{60} (15)[/tex]

                            = 3miles

To cover three miles mother has to drive for

1hour = 36miles

60minutes = 36miles

1miles = [tex]\frac{60}{36}[/tex] minutes

3miles = [tex]\frac{60}{36} (3)[/tex]

           = 5minutes    

If Jason's school is 2.5 miles from his apartment,

Time taken by Jason to reach school door = [tex]\frac{2.5}{12.5} (60)[/tex] minutes

                                                                        = 12.5 minutes

Time in which mother has to cover distance of 2.5miles

= [tex](12.5-10)[/tex]minutes

= 2.5minutes

Substitute the value in the formula we get,

Speed of mother's bike =  [tex]\frac{2.5}{2.5} (60)[/tex] mph

                                       = 60mph

Hence,  

a. Jason's mother to catch him after time of 5minutes.

b. Jason biked for distance of 3miles when his mother catches him.

c.  Mother has to drive with speed of 60mph to catch him at the school door, if Jason's school is 2.5 miles from his apartment.

Learn more about speed here

https://brainly.com/question/7359669

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Answer:

4 3/4

Step-by-step explanation:

cueluisghvreiuasghfe;ahfuiealw

Answer:

Step-by-step explanation:

[tex]4\frac{3}{4}[/tex] - [tex]\frac{1}{3}[/tex] = [tex]4\frac{9-4}{12}[/tex] = [tex]4\frac{5}{12}[/tex] feet

Answer:

x = -3, 2

Step-by-step explanation:

[tex]log_6⁡(x+1)+log_6⁡x=1 \\ \\ log_6⁡ \{x(x+1) \} = 1 \\ \\ x(x + 1) = {6}^{1} \\ \\ {x}^{2} + x = 6 \\ \\ {x}^{2} + x - 6 = 0 \\ \\ {x}^{2} + 3x - 2x - 6 = 0 \\ \\ x(x + 3) - 2(x + 3) = 0 \\ \\ (x + 3)(x - 2) = 0 \\ \\ x + 3 = 0 \: \: or \: \: x - 2 = 0 \\ \\ x = - 3 \: \: or \: \: x = 2 \\ \\ x = - 3, \: \: 2[/tex]

Answer:

x+35

Step-by-step explanation:

Answer:

(3,-6)

Step-by-step explanation:

  [1]    x - 2y = 15

  [2]    2x + 4y = -18

Graphic Representation of the Equations :

   -2y + x = 15        4y + 2x = -18  

Solve by Substitution :

// Solve equation [1] for the variable  x

 [1]    x = 2y + 15

// Plug this in for variable  x  in equation [2]

  [2]    2•(2y+15) + 4y = -18

  [2]    8y = -48

// Solve equation [2] for the variable  y

  [2]    8y = - 48

  [2]    y = - 6

// By now we know this much :

   x = 2y+15

   y = -6

// Use the  y  value to solve for  x

   x = 2(-6)+15 = 3

Solution :

{x,y} = {3,-6}

Answer:

im not sure if this is rite

Step-by-step explanation:

jason=a+22

ann=a

a+22+4=2a+4

a+26=2a+4

a=22

Answer:

d. have same slope

Step-by-step explanation:

The constant rate of change of the account is $40 or Increasing by $40 per month.

Step-by-step explanation:

Consider the provided information.

Joanne is depositing money into a bank account. After 3 months there is $120 in the account. After 6 months there is $240 in the account.

Rate of change is known as how one quantity change in relation to other.

The rate of change can be calculated as:

y2-y1/x2-x1  

Now use the above formula to calculated the rate of change.

240 - 120/6-3

120/3

40

Hence, the constant rate of change of the account is $40 or Increasing by $40 per month.

Answer:

1.1

Step-by-step explanation:

6-4.9=1.1

Hope I helped!

Please mark Brainliest!!!

Answer:

1.1

Step-by-step explanation:

it's easy you just subtract.

12 < -8n

(I'm not hundred percent sure I'm sorry but that's what I came up with)

Answer:

[tex]b=2[/tex]

Step-by-step explanation:

We know that the line passes through the point (16, -10).

And we also know that it is parallel to [tex]y=-\frac{3}{4}x+8[/tex]

Notice that the slope of this line is -3/4

Remember that parallel lines have the same slope.

Therefore, the slope of our new line is also -3/4

Now, we can use the point-slope form:

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

Where m is the slope and (x₁, y₁) is a point.

So, let’s substitute -3/4 for m and (16, -10) for (x₁, y₁). This yields:

[tex]y-(-10)=-\frac{3}{4}(x-16)[/tex]

Distribute:

[tex]y-(-10)=-\frac{3}{4}x+12[/tex]

Simplify:

[tex]y+10=-\frac{3}{4}x+12[/tex]

Subtract 10 from both sides:

[tex]y=-\frac{3}{4}x+2[/tex]

This is in the form y=mx+b.

Therefore, our b is 2.

And our final answer is 2.

Answer:

.68.0314 m/s

.42.272752125mph

68.0314km/h

Step-by-step explanation:

Answer:

The slope of the two points is 2. (8/4)

Answer:

The slope of the two points is 2. (8/4)

Step-by-step explanation:

thats it

Answer:

Graph A

Step-by-step explanation:

3x+y=5

y=-3x+5

4x-y=2

-y=-4x+2

4=2x-2

Answer:

63,630,000 tons not recovered

Step-by-step explanation:

Paper generated = 71,310,000 tons

Paper recovered = 44,570,000 tons

Glass generated = 11,530,000 tons

Glass recovered = 3,130,000 tons

Plastics generated = 31,040,000 tons

Plastics recovered = 2,550,000 tons

Total generated = 113,880,000 tons

Total recovered = 50,250,000 tons

113,880,000 - 50,250,000 = 63,630,000 tons not recovered

Answer:

[tex] T = 5l + 2c [/tex]

Step-by-step explanation:

Lemonade = l pence per cup.

Cost of 5 cups of Lemonade = [tex] 5 \times l = 5l [/tex]

Chocolate bar = c pence per bar

Cost of 2 Chocolate bars = [tex] 2 \times c = 2c [/tex]

Total cost (T) = Cost of 5 cups of Lemonade + Cost of 2 Chocolate bars

✔️The formula for the total cost would be:

[tex] T = 5l + 2c [/tex]

Answer:

-2

Step-by-step explanation:

You plug the values in. 2(2)-3=1, and 2(3)-3=3

1-3=-2

Hope I helped!

Answer:

C. Both Functions Have a y-intercept of -2

Step-by-step explanation:

In Function F it shows us that it has a y-intercept of -2, and in the equation of Function G it shows us that you would subtract 2 out of what the initial value would be:

(3 x 0 = 0)

0 - 2 would be -2 so it would have a y-intercept of -2.

Answer:

P = 6200 / (1 + 5.2e^(0.0013t))

increases the fastest

Step-by-step explanation:

dP/dt = 0.0013 P (1 − P/6200)

Separate the variables.

dP / [P (1 − P/6200)] = 0.0013 dt

Multiply the left side by 6200 / 6200.

6200 dP / [P (6200 − P)] = 0.0013 dt

Factor P from the denominator.

6200 dP / [P² (6200/P − 1)] = 0.0013 dt

(6200/P²) dP / (6200/P − 1) = 0.0013 dt

Integrate.

ln│6200/P − 1│= 0.0013t + C

Solve for P.

6200/P − 1 = Ce^(0.0013t)

6200/P = 1 + Ce^(0.0013t)

P = 6200 / (1 + Ce^(0.0013t))

At t = 0, P = 1000.

1000 = 6200 / (1 + C)

1 + C = 6.2

C = 5.2

P = 6200 / (1 + 5.2e^(0.0013t))

You need to change the exponent from negative to positive.

The inflection points are where the population increases the fastest.

Answer: f(x) = -3/2x -2

Step-by-step explanation:

Slope form of a line is y=mx+b, where b is the y-intercept and m is the slope. We find the y-intercept when we look at when x is 0 which would be -2. The slope is graphing to plots and determining if the slope is positive- going up- or negative- going down. The slope is going down and after using y2 - y1 / x2 - x1, I found the slope was -3/2.

Answer:

C

Step-by-step explanation:

8 divided by 9 = 0.8888...

Answer: He still has to mow 45 lawns, or 75% of the lawns before he is finished.