FIND THE VOLUME 4f 9 ft 16 ft

Carol bought 2 pairs of jeans at 24 each and 3 shirts she spent a total of 75 before tax what is the cost of 1 shirt

Ratling [72]

Answer:$9

Step-by-step explanation:Here's what we know:

2 * 24 + 3s = 75 (the pants ($24 each) and shirts all together is $75)

What we need to do is isolate s

Simplify:

48 + 3s = 75

subtract 48 from both sides:

48 + 3s - 48 = 75 - 48

3s = 27

Divide by 3:

3s / 3 = 27 / 3

s = 9

Shirts are $9 each.

7 0

3 years ago

Read 2 more answers

Suppose that a committee is studying whether or not there is waste of time in our judicial system. It is interested in the mean

Svetach [21]

Answer:

a) Option 1 is correct.

The Student's t-distribution for 80 degrees of freedom should be used because we do not know the population standard deviation.

b) Confidence interval for the population is given as (6.27, 7.73)

c) Option 4 is correct.

We are 95% confident that the true population mean wait time at the courthouse lies within this interval.

Step-by-step explanation:

Sample Mean = 7 hours

Sample standard deviation = 3.3 hours.

Sample size = 81

To construct the confidence interval for the population mean time wasted,

Since there's no information on the population standard deviation, the t-distribution will be used.

The t-distribution is used when there is no information on the population mean or standard deviation. We then assume that the sample standard deviation is a good estimate of the population standard deviation. And that the sample mean too, is a good estimate of the population mean.

The degree of freedom for t-distribution is given as (n-1).

df = 81 - 1 = 80

Hence, the correct answer for (a) is Option 1.

The Student's t-distribution for 80 degrees of freedom should be used because we do not know the population standard deviation.

b) To construct the 95% confidence interval for the population mean time wasted

Confidence interval = (Mean) ± (Margin of error)

Mean = 7 hours

Margin of Error = (Critical value) × (Standard error)

Critical value = t-score for a significance level of (0.05/2) and a degree of freedom of 80.

Note that the significance level.is obtained by subtracting the confidence interval from 100% and dividing it by 2 to accommodate significance at the start and end of the distribution.

So, t (0.025, 80) = 1.990 (obtained from literature)

Standard error = (σ/√n) = (3.3/√81) = 0.3667

Margin of Error = (Critical value) × (Standard error)

= 1.990 × 0.3667 = 0.7297

Confidence interval = (Mean) ± (Margin of error)

= 7 ± 0.7297 = (6.2703, 7.7297) ≈ (6.27, 7.73)

c) The interpretation for confidence interval is that the range given by the confidence interval is understood to contain the true mean required (in this case, the population mean), with a certain confidence level.

So, it is clear that the right answer is "we are 95% confident that the true population mean wait time at the courthouse lies within this interval".

Hope this Helps!!!!

5 0

3 years ago

Which of the following points is a solution to the system of equations shown?

Anna [14]

Answer:

(-1, 5)

Step-by-step explanation:

Rearrange the the first equation to have y on one side and all other values on the other side

y = 1 - 4x

since both of the equations are equal to y, set them equal to each other an solve for x.

1 - 4 x = x + 6

-5 = 5 x

x = -1

plug this back into the second equation to get y = 5

6 0

4 years ago

If Angela has $500 to invest at 2.5% per annum compounded quarterly, how long will it be

11Alexandr11 [23.1K]

N = number of compounding periods
Years = log (total / principal) / n * log (1 + rate / n)
Years = log (750 / 500) / 4 * log (1 + .025/n)
Years = log (1.5) / 4 * log (1.00625) 
 Years = 0.17609125906 / 4 * 0.0027058933759
Years = 0.17609125906 / 0.0108235735 
Years = 16.2692348382 

Source Calculator
http://www.1728.org/compint.htm

5 0

3 years ago

An airplane is traveling due east with a velocity of 583 miles per hour. The wind blows at 75 miles per hour at an angle of S58°

ASHA 777 [7]

Answer:

D. 647.8 miles per hour; S86.5°E

Step-by-step explanation:

We assume the wind direction is supposed to be S58°E. Then the bearing of the plane measured clockwise from north is 90°, and the direction the wind is blowing toward has a bearing of 122°. The resultant speed and direction is the sum of the two vectors, which is easily found using a suitable calculator:

583∠90° + 75∠122° = 647.8∠93.5°

The bearing of 93.5° translates to the direction S86.5°E.

_____

An angle east of south is subtracted from 180° (south) to find the equivalent bearing.

7 0

4 years ago