Explain why we have N1 + N2 – 2 degrees of freedom when we pool the variances. (In other words, why do we gain degrees of freedom when we pool?)

its a and c maybe. cuz im smart

Answer:

c) 27.9

Step-by-step explanation:

Since MN is the midsegment ,

MN = (AB + CD)/2

21.1 = (AB + 14.3)/2

21.1*2 = AB + 14.2

AB = 42.2 - 14.2

AB = 27.9

Answer:

C

Step-by-step explanation:

the midsegment is equal to half the sum of the parallel bases, that is

\(\frac{1}{2}\) (AB + CD) = MN ( substitute values )

\(\frac{1}{2}\) (AB + 14.3) = 21.1 ( multiply both sides by 2 to clear the fraction )

AB + 14.3 = 42.2 ( subtract 14.3 from both sides )

AB = 27.9 cm

There are 7 months in the year that have thirty-one days.

These months are January, March, May, July, August, October, and December.

There are seven months in the Gregorian calendar that have thirty-one days: January, March, May, July, August, October, and December.

This pattern of months with 31 days followed by months with fewer days repeats throughout the year.

This pattern was established by the Roman calendar, which had ten months totaling 304 days in a year.

The months of January and February were later added by King Numa Pompilius to align the calendar with the lunar year.

The months of January and February initially had 29 and 28 days respectively, but in 45 BC, Julius Caesar added one day to January and one day to August, which was originally a 30-day month, to make them both 31-day months.

In the Gregorian calendar, which is the most widely used calendar in the world, January, March, May, July, August, October, and December all have 31 days.

The remaining five months have fewer days, with February having 28 days most of the time, and 29 days in a leap year.

Knowing the number of days in each month is important for various reasons, such as planning events, scheduling appointments, and calculating pay periods.

There are several mnemonics used to remember the number of days in each month, such as "30 days hath September, April, June, and November, all the rest have 31, except February, with 28 days clear, and 29 in each leap year."

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Answer:

a

The sale was for a 43% decrease.

Step-by-step explanation:

The computation of the percent off of the coat during the sale is shown below:

Regular price is $35.25

And, in the sale the price is $19.99

So, the percent off would be

= ($35.25 - $19.99) ÷ ($19.99)

= 43% decrease

hence, the percent off of the coat during the sale is 43% decrease

Therefore the correct option is a.

And, all the other options are incorrect

The graph of the function \(y+3=\frac{5}{2}(x - 5)\) is attached below.

What is graph of the function?

In mathematics, the set of ordered pairings where f(x)=y exists is the graph of a function. These pairs are Cartesian coordinates of points in two-dimensional space and so form a subset of this plane in the typical situation when x and f(x) are real integers.

Consider the given function, \(y+3=\frac{5}{2}(x - 5)\)

It is in the form \(y-y_1=m(x-x_1)\)

Where,  \((x_1, y_1)\)is the point and m is the slope.

Graph passes through the point \((x_1, y_1)\) and having slope m.

Here, \((x_1, y_1) = (5, -3), m = \frac{5}{2}\)

Therefore, graph passes through the point (5, -3) and having slope 5/2.

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Answer:

8

Step-by-step explanation:

We will the pythagorian theorem :

Answer:

b=8

Step-by-step explanation:

We can use the Pythagorean theorem since this is a right triangle:

a^2+ b^2 = c^2 where a and b are the legs and c is the hypotenuse

a=6 and b = 10

6^2 + b ^2 = 10^2

36+ b^2 = 100

b^2 = 100-36

b^2 = 64

Taking the square root of each side

sqrt(b^2) = sqrt(64)

b = 8

Answer:

$244.81

Step-by-step explanation:

A (total amount) = P(principal) · (1 + r/n)^nt

r = interest rate

n = # times per year interest is compounded

t = term of investment

2500 = P[1 + (.021/10)]^10·1

2500 = 1.021199565 · P

P = 244.81

Answer:

6cm

Step-by-step explanation:

Given data

Width= 4.6cm

Length= 9cm

Volume= 82.8cm^3

The expression for the volume is given as

V= lwh/3

82.8= 9*4.6*h/3

cross multiply

82.8*3= 9*4.6*h

248.4= 41.4h

h= 248.4/41.4

h= 6cm

Answer:

m

Step-by-step explanation:

It is closest to being a vertical line.

Answer:

3.8 inches

Step-by-step explanation:

12 = 2 x 22/7 x r

84= 2 x 22 x r

42 = 22r

r = 1.9

2r = 3.8inches.

diameter is twice the radius

diameter = 3.8 inches

hope its right. good luck!

The probabilities can be ordered from least to greatest as: (b) P(285 < X < 315) for n = 40, (c) P(285 ≤ X ≤ 315), and (a) P(2855 > X > 315) for n = 50.

To compare the probabilities, we need to consider the sample size and the type of inequality used in each probability.

For probability (b) P(285 < X < 315) with a sample size of n = 40, we are looking for the probability that the sample mean falls between 285 and 315. Since the sample mean distribution follows the same mean as the population, but with a reduced standard deviation (σ/√n), the probability of this range is higher compared to the other two probabilities.

For probability (c) P(285 ≤ X ≤ 315), the inequality includes the endpoints. This means that the probability includes the values of 285 and 315. Considering the same sample size of n = 40, this probability will be slightly lower than (b) since it covers a wider range.

For probability (a) P(285 > X > 315) with a sample size of n = 50, the inequality includes the exclusive endpoints, meaning that the values of 285 and 315 are not included. Since the sample size is larger compared to (b), the probability of this range will be lower than both (b) and (c).

Therefore, the probabilities can be ordered from least to greatest as: (b) P(285 < X < 315) for n = 40, (c) P(285 ≤ X ≤ 315), and (a) P(2855 > X > 315) for n = 50.

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The maximum volume square candy box to be cut out is 2.88 inches.

If the size of the squares to also be cut out is x, then

A rectangular box's volume is provided by length x width x height.

V = (25 - 2x)(14 - 2x)x = x(350 - 78x + 4x²)

V = 350x - 78x² + 4x³

For the maximum volume of the candy box.

dV/ dt = 0

Differentiate the volume with respect to time.

dV/ dt = 350 - 156x + 12x².

Then,

350 - 156x + 12x² = 0

Solve the above quadratic equation by the quadratic formula and find the roots as-

x = 10.12  and 2.88

However, the size of a square cut out cannot be 10.12 because 10.12 inches cannot be cut from both sides of a 14-inch width.

As a result, the maximum volume square to be cut out is 2.88 inches.

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Answer:

First option

Step-by-step explanation:

A matrix A is said to be hermitian if it satisfies the property A = A*

A* Means the conjugate transpose of A

Here

Given that A is a rectangular matrix.

we can prove that AA and AA are both hermitian by showing that AA = (AA)* and AA* = (AA*)*

we will prove that A*A is hermitian:

(AA) = (A*)A = A*A

AA = (AA)

so we can see that it is "AA" indeed hermitian,

Now we will prove that AA* is hermitian

(AA*)* = A*(A*)* = A*A

AA* = (AA*)

AA is indeed hermitian.

given any rectangular matrix A, we have shown that AA and AA are both hermitian, as they both satisfy the property of A = A*.

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A matrix A is said to be hermitian if it satisfies the property A = A*

A* Means the conjugate transpose of A

Given that A is a rectangular matrix.

we can prove that AA and AA are both hermitian by showing that AA = (AA)* and AA* = (AA*)*

we will prove that A*A is hermitian:

(AA) = (A*)A = A*A

AA = (AA)

so we can see that it is "AA" indeed hermitian,

Now we will prove that AA* is hermitian

(AA*)* = A*(A*)* = A*A

AA* = (AA*)

AA is indeed hermitian.

given any rectangular matrix A, we have shown that AA and AA are both hermitian, as they both satisfy the property of A = A*.

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To construct a 90% confidence interval for the difference between the two population means, we use the sample data from normally distributed populations with different variances. The confidence interval is ≤(μ1 - μ2)≤, where μ1 and μ2 represent the population means. The result should be rounded to two decimal places.

To construct a confidence interval for the difference between two population means, we typically use the formula:

Confidence interval = (x1 - x2) ± t * \(\sqrt[2]{((\frac{S1^{2}}{n1} ) + (\frac{S2^2}{n2}))}\)

Where:

x1 and x2 are the sample means of the two populations,

s1 and s2 are the sample standard deviations of the two populations,

n1 and n2 are the sample sizes of the two populations,

t represents the critical value from the t-distribution with (n1 + n2 - 2) degrees of freedom.

The critical value is chosen based on the desired confidence level. For a 90% confidence level, the critical value corresponds to an alpha level of 0.1 divided by 2 (0.05) and the degrees of freedom (n1 + n2 - 2).

Once the values for x1, x2, s1, s2, n1, and n2 are known, the formula can be applied to calculate the confidence interval for the difference between the two population means. The result should be rounded to two decimal places to obtain the final answer.

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I think its option D

the expression equivalent to 2x + 8 is (x+4) + (x+4)

using the commutative property we can say that

2x +8 = x + x + 8

also 2x + 8 = x + 4 + x + 4

hence 2x + 8 = (x+4) + (x+4)

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Answer:

78

Step-by-step explanation:

The median in a stem-and-leaf diagram is the number that is repeated the most. In this case, the number 78 is repeated 4 times (7 | 8 8 8 8). No other number in the diagram is repeated as much or more than the number 78.

Do not make the mistake of writing the answer as 8 instead of 78.You also want to make sure you don't accidently count 68 which is repeated twice (by looking at the 8's at the end and thinking it's part of the all/rest of the 8's in the diagram).

Hope this helps :)

Answer:

Hi there!!

Your answer is:

8^4× n^3

To simplify further:

4096n^3

Step-by-step explanation:

Exponents can be found by adding up how many times a number is multiplied by itself and placing that in the top right corner of the original number

Since 8 is multiplied by itself four times, it can be demonstrated with 8^4. In extended form, this would be equal to 8×8×8×8

Since n is multiplied by itself three times, it can be demonstrated by n^3. In extended form, this would be equal to n×n×n

Hope this helps!

Answer:

y = 478x + 1,854

Step-by-step explanation:

Answer:

D Stanton encourages the audience to spread the word for their cause

Step-by-step explanation:

I just know I have done the test and it makes the most sense. :)

The summary the can be deduced from the speech is that D. Stanton encourages the audience to spread word of their cause, petition state and federal governments.

It should be noted that a summary means a brief statement or account of an event.

Stanton was popular for the role that she played in women's suffrage. She advocated for change regarding how women were treated.

During the convention, she encouraged the audience to spread word of their cause, petition state and federal governments, appeal to the church and press for support, and continue with more conventions.

She also implored her husband, John to help form the new America.

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Answer:

$220

Step-by-step explanation:

first let's make the $12 bracelets as Type1 and the $8 bracelets as Type2,

then we calculate the amount she made by selling each type.

Eq.1 : No. of Type1 bracelets Selena made = 9

         Amount she sold them for = $12

         Amount she made by selling them = 9*12

                                                                                   = $108

Eq.2 : No. of Type2 bracelets Selena made = 14

          Amount she sold them for = $8

          Amount she made by selling them = 14*8

                                                                               = $112

Now we calculate the Total Amount she made

we add both of the amounts

$108 + $112

= $220

Hope this helps :)

A binomial random variable is the sum of repeated Bernoulli trials.

In statistics, a Bernoulli trial is a random experiment with two possible outcomes: success or failure, with a fixed probability of success denoted by p.

A binomial random variable is obtained by performing a sequence of n independent and identical Bernoulli trials, each with probability of success p.

The random variable X represents the number of successes that occur in these n trials. The binomial distribution describes the probability of obtaining k successes in n trials.

The probability of success in each trial can be different, but it should remain fixed for all the trials. The binomial distribution is commonly used in quality control, polling, and market research, among other fields.

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Answer:that’s the answer enjoy

Step-by-step explanation:

The formula for the volume of a cylinder is given by:

Where r is the base radius and h is the height.

If the volume is 448*pi cm³ and the height is 7 cm, we have:

Therefore the radius is equal to 8 cm.

Drawing this cylinder, we have:

Answer:

f(x)=20+4x = -5

Step-by-step ;

answer is -5 .

Step-by-step explanation:

Our roots are 3, and i so our roots form

will be

\((x - 3)(x - i)\)

Since i is one root, it conjugate, must be the other.

so we have

\((x - 3)(x - i)(x + i)\)

Simplify

\(( {x}^{2} + 1)(x - 3)\)

\( {x}^{3} - 3 {x}^{2} + x - 3\)

So the function is

\(x {}^{3} - 3 {x}^{2} + x - 3\)

Answer:8x5=10-x

Step-by-step explanation:

The magnitude of the net magnetic field at the square's center is \(= (7.94 * 10^{-4}N/m)i+(-7.94 * 10^{-4}N/m)j\).

Using \(dB=\frac{u_0i}{4\pi} \frac{sin\theta}{r^2}\) the force on say, wire 1 (the wire at the upper left of the figure) is along the diagonal (pointing toward wire 3, which is at the lower right). Only the forces (or their components) along the diagonal direction contribute. With θ=45°, we find the force per unit meter on wire 1 to be

\(f_1 = |F_{12}+F_{13}+F_{14}|\\\\= 2F_{12}cos\theta+f_{13}\\\\=2(\frac{u_0i^2}{2\pi a} )cos45^0+\frac{u_0i^2}{2\sqrt{2}\pi a }\)

\(=\frac{3}{2\sqrt{2}\pi }(\frac{u_0i^2}{0})\\\\=\frac{3}{2\sqrt{2}\pi } \frac{(4\pi*10^{-7}T.m/A)(15.0A)^2} {(8.50*10^{-2}m)}\)

\(= 1.12 * 10^{-3}N/m\)

The direction of F1​ ​ is along r^=(i^=j^​)/sqrt2. In unit-vector notation, we have

\(F_1 = \frac{(1.12 * 10^{-3}N/m)}{\sqrt{2} }(i - j) \\\\= (7.94 * 10^{-4}N/m)i+(-7.94 * 10^{-4}N/m)j\)

Hence the answer is the magnitude of the net magnetic field at the square's center is \(= (7.94 * 10^{-4}N/m)i+(-7.94 * 10^{-4}N/m)j\).

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Answer:

65

Step-by-step explanation:

65 + 50 + x = 180

115 + x = 180

x = 65