Janine has job offers at two companies. One company offers the starting salary of $28,000

The true estimate of the average annual income of all 700 families living in a four square block section lies within the 92% confidence interval below

$34854.3 < \mu < 35 745.7$

Step-by-step explanation:

From the question we are told that

The sample size is n = 50

The sample mean is $\= x = \$ 35300$

The population standard deviation is $\sigma = \$ 1800$

From the question we are told the confidence level is 92% , hence the level of significance is

$\alpha = (100 - 92 ) \%$

=> $\alpha = 0.08$

Generally from the normal distribution table the critical value of $\frac{\alpha }{2}$ is

$Z_{\frac{\alpha }{2} } = 1.751$

Generally the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }$

=> $E = 1.751 * \frac{1800 }{\sqrt{50} }$

=> $E = 445.7$

Generally 92% confidence interval is mathematically represented as

$\= x -E < \mu < \=x +E$

=> $35 300 -445.7 < \mu < 35 300 + 445.7$

=> $34854.3 < \mu < 35 745.7$

So the true estimate of the average annual income of all 700 families living in a four square block section lies within the 92% confidence interval

3 0

3 years ago

What is 2/4 +1/3 equal to?

AlladinOne [14]

Answer:

3/7

Step-by-step explanation:

2

4

1

3

equals 3 over 7= 3/7

I hope this helps you

6 0

3 years ago

Solve these simultaneous equations:

ivolga24 [154]

Answer:

1) We have the system:

5*x - 3*y = 15

4*x + 3*y = 6

To solve this, we first need to isolate one of the variables in one of the equations, let's isolate x in the first equation:

x = 15/5 + (3/5)*y = 3 + (3/5)*y

Now we can replace this in the other equation to get:

4*( 3 + (3/5)*y) + 3*y = 6

and solve this for y.

12 + (12/5)*y + 3*y = 6

(12/5 + 3)*y = 6 - 12 = -6

(12/5 + 15/5)*y = -6

(27/5)*y = -6

y = -6*(5/27) = 1.11

Now we can replace this in the equation:

x = 3 + (3/5)*y

To get the value of x.

x = 3 + (3/5)*1.11 = 3.67

Then the solution of this system is the point (3.67, 1.11)

2) Now we have the system:

2*x + 5*y = 26

4*x + 3*y = 24

The solution method is the same as before:

x = 26/2 - (5/2)*y = 13 - (5/2)*y

Now we replace this in the other equation:

4*( 13 - (5/2)*y) + 3*y = 24

52 - 10*y + 3*y = 24

52 - 7*y = 24

52 - 24 = 7*y

28 = 7*y

28/7 = y

4 = y

now we replace this in the equatio:

x = 13 - (5/2)*y

x = 13 - (5/2)*4 = 13 - 10 = 3

The solution of this sytem is (3, 4)

3) Now we have the system:

3*x + 3*y = 39

2*x - 3*y = -2

first we isolate x in the first equation:

x = 39/3 - 3*y/3 = 13 - y

Now we can replace this in the other equation:

2*(13 - y) - 3*y = -2

26 - 2*y - 3*y = -2

26 - 5*y = -2

26 + 2 = 5*y

28 = 5*y

28/5 = y = 5.6

Now we can replace this in the equation:

x = 13 - y

To get the x-value

x = 13 - 5.6 = 7.4

Then the solution for this system is (7.4, 5.6)

4 0

3 years ago