Will give brainliest if u help!!! Thank you!

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:

(0, 3.5)

Step-by-step explanation:

I just graphed it using desmos

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:

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:

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:

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:

x+35

Step-by-step explanation:

Answer:

.68.0314 m/s

.42.272752125mph

68.0314km/h

Step-by-step explanation:

Answer:

4p - 7

General Formulas and Concepts:

Pre-Alg

Step-by-step explanation:

Step 1: Define

3p - 7 + p = 13

Step 2: Solve for p

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.

Answer:

d. have same slope

Step-by-step explanation:

Answer:

Step-by-step explanation:

Q 4. (25m + 25m) ÷ 25 sec. = 2 m/sec.

Q 5. This question belongs to Physics and not Mathematics!!!

Wavelength (lambda) = Velocity (v) ÷ Frequency ( [tex]sec^{-1}[/tex] or Hz )

f = v / (lambda)

f = 3 / 2 = 1.5 (Hz)

Q 6. 0.060 ÷ 2 = 0.030 m

Answer:

x = 3

Step-by-step explanation:

10x−3x+5=26 (Given)

7x + 5 = 26 (Combine like terms)

7x = 21 (subtraction Property of equaity)

x = 3 (division Property of equaity)

Answer:

40 miles

Step-by-step explanation:

4x10 is 40 miles

Answer: 40 miles

1:10

4:40

4×10=40

I hope this is good enough:

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:

Step-by-step explanation:

Given sequence

-9, -5, -1,3,7,...

Is A.P(,airthmetic progression)

So

nth term of an A.P =a+(n-1)d

Where a=first term (-9)

D=difference=(-5)-(-9)=4

So nth term=-9+(n-1)4

=4n-13

Answer is 4n-13

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:

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:

[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:

[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:

24

Step-by-step explanation:

i did was times -6 by -4

negative times negative equals positive

-6*-4 = 24

then divide to see if its true

24 ÷ -6 = -4

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:

.5

Step-by-step explanation:

brainlies please

Answer:

A

Step-by-step explanation:

I took test

12 < -8n

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