find-5/6÷(-1/2) write the answer in the lowest terms.​

Answer:

a) 70,663.57< [tex]\overline x[/tex] < 113,680.43

b) The sampling distribution of the means is expected to be approximately normal given that n > 30

Step-by-step explanation:

The given parameter of the study are;

The number of reports in the study, n = 75 reports

The average debt, [tex]\overline x[/tex] = $92,172

The standard deviation, Sₓ = $111,538

a) A one-sample t confidence interval is given as follows;

The Degrees of Freedom, df = n - 1 = 75 - 1 = 74

[tex]C.I, = \overline x \pm t^* \cdot \dfrac{S_x}{\sqrt{n} }[/tex]

[tex]t^*[/tex] = The critical t, at 95% confidence level = 1.67

Therefore, we have;

[tex]C.I, = 92,172 \pm 1.67 \cdot \dfrac{111,538}{\sqrt{75} }[/tex]

Therefore, we have;

[tex]C.I, = 92,172 \pm 1.67 \cdot \dfrac{111,538}{\sqrt{75} }[/tex]

C.I. = (92,172 ± 21,508.43)

Therefore, the 95% one-sample t confidence interval for the average debt of the companies at the time of filing, C.I. = 70,663.57< [tex]\overline x[/tex] < 113,680.43

b) The defense for using the t confidence interval in the question is supported that the fact that the sample size is larger than 30 (n = 75) the sampling distribution of means will be approximately normal and the population mean will be between the confidence interval for the mean.

Answer:

$54.67

Step-by-step explanation: sorry if im wrong i tried

Answer:

1906.62

Step-by-step explanation:

hope this helps

Answer:

i. daily charge = £13

ii. fixed charge = £6

Step-by-step explanation:

Number of days (x) | Cost in £ (y)

1 | 19

2 | 32

3 | 45

4 | 58

5 | 71

Using the given table, we can represent this situation with an equation in slope-intercept form, y = mx + b, where,

m = slope = daily charge

b = y-intercept = fixed charge

✔️Thus, using the coordinates of any two given pairs, say (1, 19) and (2, 32):

Slope (m) = ∆y/∆x = (32 - 19)/(2 - 1) = 13/1

Slope (m) = 13

Therefore daily charge = £13

✔️To find y-intercept (b), substitute (x, y) = (1, 19) and m = 13 into y = mx + b.

Thus:

19 = (13)(1) + b

19 = 13 + b

b = 19 - 13

b = 6

Therefore, fixed charge = £6

✔️Substitute m = 13 and b = 6 into y = mx + b to represent the function given for the situation:

y = 13x + 6

Answer:

12

Step-by-step explanation:

Since we can infer that those lines are the same length...

5x-15 = 3x+9

2x -15 = 9

2x = 24

x = 12

Answer:

117π or 367.56634047

Step-by-step explanation:

Volume = π × r² × h          (r=radius and h=height)

Volume = π × 4² × 13

Volume = π × 9 × 13

Volume = π × 117

Volume = 117π

Answer:

E I think

..........hope this helps

Answer:

840cm² its 840cm²

Answer: D

Step-by-step explanation: The answer wouldn't be A because all the information is there, B is out because the question tells you there is a correlation between the two, and C is out because it has a more negative affect than positive.

Answer:

1st blank: 5

2nd blank: 10

3rd blank: 785

Step-by-step explanation:

the radius of a circle or the base/top of a cylinder is measured from the center to the side of the face, where as the diameter is measured from side to side through the middle, so the diameter will always be twice the radius of the same circle, meaning if the diameter is 10 units, then the radius will be half that, 5 units, then all we do is double the radius like the question says to get the height (NOTE this is NOT part of any formula for finding any dimensions for any shape and is specific to this question) then all we do to find the volume is use the formula below

V = (pi) (r^2) h

plug the radius or 'r' in as well as height or 'h' in the equation and solve

PLEASE NOTE: the question is asking for an APROXAMATE so your answer should be close to one of the drop down options by about >1 integer, but will not be exact

Answer:

[0, -7, 1]

[0, 3, 4]

Answer:

yo i live in florida

Step-by-step explanation:

Answer:

20 minutes( 0.3333 hours) after they leave the station will they be 50 km apart, if the Two trains on opposite tracks leave the same station at the same time.

Step-by-step explanation:

One train travels at an average speed of 80 km/hr and the other travels at an average speed of 70 km/hr.

Answer:

D 108

Step-by-step explanation:

324/3=108

Answer: 108 toys per day

Step-by-step explanation: 324/3

Answer:About 17 games

Step-by-step explanation:

$50 divided by $3 is about 17 games

Answer:

11

Step-by-step explanation:

the square root of 125 is 11.18033989 so when you round it you get 11

Answer:

$3.57

Step-by-step explanation:

Multiply $23.80 by %15

Change %15 to a decimal by multiplying it by 100.

0.15 x $23.80= $3.57

Answer:

one solution at x=1,y=4 point

Answer:

0.55x10= 5.50

Step-by-step explanation:

Answer:

A and D

Step-by-step explanation:

A) x = 3

B) x = 0

C) x = ⅓

D = x = 3

Answer:

A and D

Step-by-step explanation:

Answer: 20 inches

Step-by-step explanation:

using pythagorean theorem according to which  hypotebous ^2=altitude ^2+base^2

c^2=a^2+b^2

c^=(12)^2+(16)^2

c^2=144+256

c^2=400

c=20

Answer:

after the collision cart 1 will stop and cart 2 will keep moving will 0.1.m/s after stop.

Answer:

14

Step-by-step explanation:

4+34-24 (distribute)

Answer:

29/40

Step-by-step explanation:

1/8 + 3/5 =

We need a common denominator.

8 = 2^3

5 = 5

8 and 5 have no common factors, so the LCD is their product.

LCD = 5 * 8 = 40

1/8 + 3/5 =

= 5/40 + 24/40

= 29/40

Answer: 1460

Step-by-step explanation: I put it in a calculator.