What value of n makes the equation true ? Show your work.

Step-by-step explanation:

Given

length(l)=3cm

height(h)=4cm

breath or width (b)=2×h=2×4=8cm

now it is a cuboid

volume of cuboid=l×b×h=3×8×4=96cm³

Answer:32,cm3

Step-by-step explanation:

Answer:

(a)

[tex]\bar x_1 =41.33[/tex]     [tex]\sigma_1 = 7.48[/tex]

[tex]\bar x_2 =22.3[/tex]       [tex]\sigma_2 = 4.53[/tex]

(b)

[tex]d = 19.03[/tex]

(c)

[tex]CI = 16.33[/tex] to [tex]21.73[/tex]

Step-by-step explanation:

Given

[tex]n_1 = 10\\ n_2 = 12[/tex]

And the accompanying data for private (1) and public (2) colleges

Solving (a): The sample mean and sample standard deviations

Private College

Calculating sample mean

This is calculated as:

[tex]\bar x_i = \frac{\sum x_i}{n_i}[/tex]

[tex]\bar x_1 =\frac{52.8+30.6+43.2 +45.8 +33.3+33.3 +50.5 +44.0 +42.0 +37.8}{10}[/tex]

[tex]\bar x_1 =\frac{413.3}{10}[/tex]

[tex]\bar x_1 =41.33[/tex]

Calculating sample standard deviation

This is calculated as:

[tex]\sigma_i = \sqrt\frac{\sum(x_i - \bar x_i)}{n_i-1}[/tex]

[tex]\sigma_1 = \sqrt\frac{(52.8-41.33)^2+(30.6-41.33)^2+.........+(37.8-41.33)^2}{10-1}[/tex]

[tex]\sigma_1 = \sqrt\frac{503.261}{9}[/tex]

[tex]\sigma_1 = \sqrt{55.9178888889[/tex]

[tex]\sigma_1 = 7.4778264816[/tex]

[tex]\sigma_1 = 7.48[/tex] -- approximated

Public College

Calculating sample mean

[tex]\bar x_2 =\frac{20.3 +22.8 +28.2 +18.5 +15.6 +25.6+ 24.1 +14.4 +28.5 +21.8 +22.0 +25.8}{12}[/tex]

[tex]\bar x_2 =\frac{267.6}{12}[/tex]

[tex]\bar x_2 =22.3[/tex]

Calculating sample standard deviation

[tex]\sigma_2 = \sqrt\frac{(20.3 -22.3)^2+(22.8 -22.3)^2+(28.2 -22.3)^2+(18.5 -22.3)^2+(15.6 -22.3)^2+................+(25.8-22.3)^2}{12-1}[/tex][tex]\sigma_2 = \sqrt\frac{225.96}{11}[/tex]

[tex]\sigma_2 = \sqrt{20.5418181818[/tex]

[tex]\sigma_2 = 4.532308262[/tex]

[tex]\sigma_2 = 4.53[/tex] -- approximated

Solving (b): Point estimate of the difference between the two population means

This is calculated as:

[tex]d = \bar x_1 - \bar x_2[/tex]

[tex]d = 41.33 - 22.3[/tex]

[tex]d = 19.03[/tex]

Solving (c): 95% confidence interval

First, calculate the degrees of freedom:

[tex]df = \frac{(\sigma_1^2/n_1 + \sigma_2^2/n_2)^2}{\frac{(\sigma_1^2/n_1)^2}{n_1 - 1} + \frac{(\sigma_2^2/n_2)^2}{n_2 - 1}}[/tex]

[tex]df = \frac{(7.48^2/10 + 4.53^2/12)^2}{\frac{(7.48^2/10)^2}{10 - 1} + \frac{(4.53^2/12)^2}{12 - 1}}[/tex]

[tex]df = \frac{53.3647}{31.3045/9 + 2.9244/11}[/tex]

[tex]df = \frac{53.3647}{3.7441}[/tex]

[tex]df = 14.2530[/tex]

[tex]df = 14[/tex]

Calculate the critical value (t)

At 95% confidence interval and df = 14;

[tex]df = 14[/tex]

The confidence interval is then calculated as:

[tex]CI = (\bar x_1 - \bar x_2) \± \sqrt{\sigma_1^2/n_1 + \sigma_2^2/n_2}[/tex]

[tex]CI = (41.33 - 22.3) \± \sqrt{7.48^2/10 + 4.53^2/12}[/tex]

[tex]CI = 19.03 \± \sqrt{7.305115[/tex]

[tex]CI = 19.03 \± 2.70[/tex]

Split

[tex]CI = 19.03 - 2.70[/tex] to [tex]19.03 + 2.70[/tex]

[tex]CI = 16.33[/tex] to [tex]21.73[/tex]

This implies that:

Private colleges have population mean annual cost of $16.33 to $21.73 more expensive than public colleges

The amplitude of the function is the range A = 3

The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.

The range is the set of outputs of a relation or function. In other words, it's the set of possible y values. Recall that ordered pairs are of the form (x,y) so the y coordinate is listed after the x. The output is listed after the input.

Given data ,

Let the amplitude of the function be represented as A

Now , the value of A is

The range of the function = Amplitude x 2

And , Amplitude of the function A = | max - min | / 2

On simplifying , we get

A = | -4 - 2 | / 2

A = 6/2

A = 3

Therefore , the value of A is 3

Hence , the amplitude is A = 3

To learn more about domain and range click :

https://brainly.com/question/28135761

#SPJ2

Answer:

It provides different and sometimes opposing viewpoints about an event.

Answer:In my opinion B.0.005 is the correct answer

Step-by-step explanation:

hope it will help you

Answer: 0.05$ per ounce

Step-by-step explanation:

Answer:0.05 per oz.

Step-by-step explanation: divide 4.50 by the oz

Answer:linear binomial

Step-by-step explanation:

Answer:

B) Linear binomial.

Step-by-step explanation:

????

Answer:

a) the proportion of​ 95% confidence intervals that include the population proportion approaches 0.95

b) Sample proportion does not include the population proportion then the sample proportion is more than 1.96 standard error from the population proportion

Step-by-step explanation:

a)

Given the the data in the question, confidence level is 95%.

In this case as the number of samples increases, the proportion of 95% confidence intervals that include the population proportion approaches 0.95. hence the expected value of the proportion.

b)

Given the the data in the question, confidence level is 95% and sample proportion

we know that In normal distribution 68% confidence indicate one standard deviation, 95% confidence indicate 2 standard deviation while 99.97% confidence indicate 3 standard deviation.

The sample proportion does not include the population proportion, in 95% confidence from the standard normal table 0.95 value lies within the critical value of 1.96 approximately 2.

hence ( z =2 ) that satisfied the 1.96 standard error from the population proportion

hence, Sample proportion does not include the population proportion then the sample proportion is more than 1.96 standard error from the population proportion

Using confidence interval concepts, it is found that:

a) As the number of samples​ increases, the proportion of​ 95% confidence intervals that include the population proportion approaches​ 95%.

b) If a​ 95% confidence interval results in a sample proportion that does not include the population​ proportion, then the sample proportion is more than​ 2 standard errors from the population proportion.

Item a:

For a x% confidence interval, approximately x% of confidence intervals will include the population proportion, and this percentage approaches x as the number of intervals increase, hence, the correct sentence is:

As the number of samples​ increases, the proportion of​ 95% confidence intervals that include the population proportion approaches​ 95%.

Item b:

By the Empirical Rule, 95% of the measures are within 2 standard deviations of the mean, hence, the correct sentence is:

If a​ 95% confidence interval results in a sample proportion that does not include the population​ proportion, then the sample proportion is more than​ 2 standard errors from the population proportion.

A similar problem is given at https://brainly.com/question/23536238

Answer:

Can you actually do your own work

Step-by-step explanation:

Do it yourself

Answer:

Solution given:

net surface area=9×(3+5+3+5)+2(3×5)=174in² is your answer.

TSA

Answer:

What do you mean? If you are talking about the Community not always answering Questions well that means your they don't know the right Answer

the Mods are Annoying and very skeptic of the Guidelines of Brainly.

Answer:

31.6°

Step-by-step explanation:

The triangle given us a right angled Triangle

We solve the above question using the trigonometric function of Tangent

The formula is given as:

tan θ = opp/adj

θ = m∠G = ?

Opposite = EF is 28.2

Adjacent = GF is 45.8

tan θ = 28.2/45.8

θ = arc tan (28.2/45.8)

θ = 31.621459805°

Approximately

m∠G = 31.6°

Answer:

C i hope it helps

have a good night

Answer:

b. 25

Step-by-step explanation:

The square root cancels out

and you divide only 100 and 4

Answer:

5 or 25

Step-by-step explanation:

I first got the 25 but when I tried a different formula to make sure it's correct I got 5.

Answer:

D

Step-by-step explanation:

The researcher did no prediction or any (possible)

Hope this helps :)

Answer: About 804.25

Step-by-step explanation:

Do the inverse of the circumference formula and then take the radius and put it into the formula for the area of a circle

Answer:

B

Step-by-step explanation:

the mean of A

= (84 + 84 + 85 + 86) ÷ 4

= 339 ÷ 4

= 84.75

the median of A

= (84 + 85) ÷2

= 169 ÷ 2

= 84.5

84.75 > 84.5

the mean of B

= (74 + 79 + 82 + 87) ÷ 4

= 332 ÷ 4

= 80.5

the median of B

= (79 + 82) ÷2

= 161 ÷ 2

= 80.5

80.5 = 80.5

the mean = the median

the mean of C

= (63 + 66 + 67 + 68) ÷ 4

= 264 ÷ 4

= 66

the median of C

= (66 + 67) ÷2

= 133 ÷ 2

= 66.5

66 < 66.5

the mean of D

= (14 + 16 + 18 + 19) ÷ 4

= 67 ÷ 4

= 16.75

the median of D

= (16 + 18) ÷2

= 34 ÷ 2

= 17

16.75 > 17

Answer:

B import food from other countries

This additition is false

the true answer is 705

Its base on my understanding:)

#CarryOnLearning

#NoToCopyPaste

Just please, idols ,if we are going to answer questions here on brainly, don't do the ones from the internet, then just copy and paste

Just please, idols ,if we are going to answer questions here on brainly, don't do the ones from the internet, then just copy and paste You can search on the internet but make your own sentence okay? Thank you

Answer:

PEMDAS

Step-by-step explanation:

Answer:

[tex]=60[/tex]

Step-by-step explanation:

[tex]\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}[/tex].

[tex]\left(18\div \:2+54\div \:9\right)\times \:2[/tex]

[tex]=15\times \:2[/tex]

[tex]=30[/tex]

[tex]=30\times \:2[/tex]

[tex]=60[/tex]

Answer:

A, B, and C All have four sides, and they all have opposite sides that are equal. B and C have right angels. A has angels on opposite side that are the same

Step-by-step explanation:

Answer:

(f + g)(x) = – 3x^2 + 5x - 8

Step-by-step explanation:

(f + g)(x) = f(x) + g(x)

= 5x^2 + 9x – 4 + (– 8x^2 – 3x – 4)

= 5x^2 + 9x – 4 – 8x^2 – 3x – 4

Combine

= – 3x^2 + 5x - 8

The sum of the given functions is defined as the expression (f + g)(x) which is equal to -3x²  + 6x  – 8.

Use the concept of quadratic function defined as:

The definition of a quadratic as a second-degree polynomial equation demands that at least one squared term must be included. It also goes by the name quadratic equations. The quadratic equation has the following generic form:

ax² + bx + c = 0

The given functions are:

f(x) = 5x² + 9x – 4

g(x) = – 8x² – 3x – 4

Since (f + g)(x) = f(x) + g(x)

Then put the functions,

(f + g)(x) = (5x² + 9x – 4) + ( – 8x² – 3x – 4)

Rearranging like terms,

(f + g)(x) = 5x²– 8x²  + 9x – 3x – 4  – 4

Simplifying it,

(f + g)(x) = -3x²  + 6x  – 8

Hence,

The expression for (f + g)(x) is -3x²  + 6x  – 8.

To learn more about quadratic equations visit:

https://brainly.com/question/30098550

#SPJ6

N is to the left of the zero which means it is a negative number.

P is the the right of zero which means it is a positive number.

A negative number is less than a positive number, so the answer would be:

The number with the least value is N

The number with the greatest value is P

Answer:

2

Step-by-step explanation:

Since with every 10 seconds, the distance increase by 20 meters

hence, 20/10 = 2

Answer:

6.06

Step-by-step explanation:

first draw a diagram, that'll make life easier,

then;

tan68 = opposite/adjacent

tan68 = 15/x

x = 15/tan68

x = 6.06