What is the value of m ?

18/27 = 6/m

The variables of the test statistic may be determined to be \($s _1$\), \($s _2$\), \($n_ 1, n _2$\), t, which is the t - distribution test statistic, and \($x _1, x _2$\), which is the mean of the two samples.

When the variances of the two groups are not equal, pooled standard deviation estimations cannot be used. As an alternative, we must determine the standard error for each group separately. The variables of the test statistic may be determined to be \($s _1$\), \($s _2$\), \($n_ 1, n _2$\), t, which is the t - distribution test statistic, and \($x _1, x _2$\), which is the mean of the two samples.

The formula for this type of test statistic is given by -

\($t=\frac{x_1-x_2}{\sqrt{\frac{s_1^2}{n_1}+\frac{x_2}{n_2}}}$$\)

Here, the variables can be defined as below -

\($s_1^2, s_2^2=$\) variance of two samples

\($n_1, n_2=$\) respective sizes of the two samples

t = t - distribution test statistic

\($x_1, x_2=$\) Mean of the two samples

As a result, the variables of the test statistic can be determined to be \($s _1, s _2$\), which represents the variance of two samples, \($n _1, n _2$\), which represents the size of the two samples, t, which represents the t-distribution test statistic, and \($x _1, x _2$\), which represents the mean of the two samples.

The complete question is:

The formula for the test statistic used for a two sample test of means where the population variances are unknown and unequal is:

t = X1−X2√s12/n1+s22/n2X1-X2s12/n1+s22/n2

Match the variables to their description.

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Answer:

yes.

Step-by-step explanation:

Answer:

Parenthesis

Exponent

Multiplication

Division

Addition

Subtraction

Step-by-step explanation:

PEMDAS stands for the procedure you take when solving an equation

Answer:

PEMDAS

Step-by-step explanation:

P(arenthesis)

E(xponents)

M(ultiplication)

D(ivision)

A(ddition)

S(ubtraction)

Yes, it is possible to choose a random natural number in such a way that every number is equally likely to be chosen.

Suppose we use a fair die with an infinite number of sides, where each face corresponds to a different natural number, and roll the die to determine the randomly selected number. Here, each natural number has an equal probability of being chosen.

Alternatively, we could use a pseudorandom number generator to generate a sequence of numbers that appear to be randomly distributed and choose one of the numbers in the sequence as the randomly selected natural number. In this case, while the process of generating the numbers is deterministic, the numbers themselves appear to be randomly chosen and each natural number has an equal probability of being chosen.

It is also possible for every number to have a positive (nonzero) probability of being chosen, as long as the probabilities are defined in such a way that they sum up to 1. This can be achieved by using a uniform distribution where each natural number has a positive but nonzero probability of being chosen.

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Null Hypothesis (H₀): The mean weight of the flounder is less than or equal to grams.

Alternate Hypothesis (H₁): The mean weight of the flounder is greater than grams.

In this scenario, the scientists want to perform a hypothesis test to determine the strength of evidence regarding the mean weight of a certain species of flounder being greater than a certain value (let's call it "grams").

The appropriate null and alternative hypotheses can be stated as follows:

Null Hypothesis (H₀): The mean weight of the flounder is equal to or less than grams.

Alternate Hypothesis (H₁): The mean weight of the flounder is greater than grams.

In symbol form:

H₀: μ ≤ grams

H₁: μ > grams

The null hypothesis (H₀) represents the assumption that there is no significant difference between the mean weight of the flounder and the specified value (grams). The alternative hypothesis (H₁) suggests that there is evidence to support that the mean weight of the flounder is greater than grams.

During the hypothesis testing process, the scientists will collect a sample of flounder and perform statistical calculations to determine whether the evidence supports rejecting the null hypothesis in favor of the alternative hypothesis.

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Answer:

The perimeter of square will be 18 units

Step-by-step explanation:

We are given that the coordinates of three vertices of a square A (-2 1/2 , 1 1/2), B (-2 1/2 -3), and C (2,1 1/2 )

When point D is placed on this perimeter.

We have to find the perimeter of the square.

First we have to find the side of square by using the distance formula

Distance formula

\(\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

Coordinates of A=(-5/2,3/2)

Coordinates of B=(-5/2,-3)

Length of side AB=\(\sqrt{(-5/2+5/2)^2+(-3-3/2)^2}\)

Length of side AB=\(\sqrt{0+(-9/2)^2}\)

Length of side AB=9/2 units

Now, the perimeter of square=4 (side)

Using the formula

Perimeter of square=4(9/2)=18 units

The value of the given exponent is \(\frac{5}{2}\)

Given:

The exponent = \((\frac{4}{25})^{\frac{-1}{2}}\)

To find:

The value of a given exponent

Solution:

\((\frac{4}{25})^{\frac{-1}{2}} = ?\)

Using the identity of an exponent : \((\frac{m}{n})^{x} = \frac{m^{x}}{n^{x}}\)

\((\frac{4}{25})^{\frac{-1}{2}} = \frac{(4)^{(\frac{-1}{2})}}{(25)^{(\frac{-1}{2})}}\\\)

Using the identity of an exponent : \(a^{-x} = \frac{1}{a^x}\)

\(=\frac{(25)^{(\frac{1}{2})}}{(4)^{(\frac{1}{2})}}\\=\frac{(25)^{(\frac{1}{2})}}{(4)^{(\frac{1}{2})}}\\=\frac{((5)^2)^{(\frac{1}{2})}}{((2)^2)^{(\frac{1}{2})}}\\\)

Using the identity of an exponent: \((a^{n})^m=a^{m\times n}\)

\(=\frac{5^{(2\times \frac{1}{2})}}{2^{(2\times \frac{1}{2})}}\\=\frac{5^1}{2^1}\\=\frac{5}{2}\)

The value of the given exponent is \(\frac{5}{2}\).

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Answer:

The skateboard will be $60

Step-by-step explanation:

$75 x 0.2 = $15

$75 - $15 = $60

Answer:

1482551 is correct answer

Answer:

Step-by-step explanation:

Answer:I believe is 18,000

Step-by-step explanation:

If the current population is 1000 in 27 weeks it would be 9000 because if they double every 3 weeks u have to divide 27 divided by 3 which is 9 and if they double you multiply 9x2 and that equals 18 now 18x1000 equals 18000

Answer:

Step-by-step explanation:

Piedmont Middle School = 3x

Let the crows = x                     foul balls

x+ 8 = 3x                                    Subtract x from both sides

x-x + 8 = 3x - x

8 = 2x

x = 4

So the crows hit 4 foul balls

The ravens must have hit 12 foul balls.

They did hit 8 more than the crows did.

Answer:

Y=3/4x + 1

Step-by-step explanation:

Y intercept x=0

Therefore point(0,1) satisfies.

There fore constant c is 1

Answer:

y = \(\frac{3}{4}\) x + 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = \(\frac{3}{4}\) and c = 1 , then

y = \(\frac{3}{4}\) x + 1 ← equation of line

we first found the antiderivative of (3x-8)/9, which allowed us to write the general solution to the differential equation. We then used the initial condition y(-1) = -6 to find the specific value of the constant of integration. Finally, we obtained the function y(x) that satisfies the differential equation dy/dx = (3x-8)/9 and y(-1) = -6.

To find the function y(x) that satisfies the differential equation dy/dx = (3x-8)/9 and y(-1) = -6, we need to integrate both sides of the equation with respect to x.

The antiderivative of (3x-8)/9 is (3/18)x^2 - (8/27)x + C, where C is an arbitrary constant of integration. Therefore, we have:

y(x) = (3/18)x^2 - (8/27)x + C

To determine the value of the constant C, we use the initial condition y(-1) = -6. Substituting x = -1 and y = -6 into the equation above, we get:

-6 = (3/18)(-1)^2 - (8/27)(-1) + C

Simplifying this expression, we get:

C = -5

Therefore, the function y(x) that satisfies the differential equation dy/dx = (3x-8)/9 and y(-1) = -6 is:

y(x) = (1/6)x^2 - (8/27)x - 5

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Answer:

D, X^2 -18 + 81 = -45 + 81

Step-by-step explanation:

it is complating squer method that used for solving x in a quadratic equetion . in this step you will add

(y/2)^2 if y is the cofitient of x .

1. The values which the given number sentences true are:

a) 11 b) 5 c) 36

2. After substituting the value of  x we get the value for y as :

a) 6 b) 0 c) 7 d) 15

3. The number sentences are :

a) x ₋ y = 25

b) 5 × p = q ÷ 2

c) 2y ₋ 14 = 6

d) 15 × 4 = 4 ₋ (x₊y)

Given in the first bit we need to find the variables:

a) h ₊ 8 = 19

arrange the constants on one side.

h = 19 ₋ 8

h = 11

b) 2p ₋ 6 = 4

arrange the constants on one side.

2p = 4 ₊ 6

2p = 10

p = 10/2

p = 5

c) 1/3 y = 12

cross multiply.

y = 36

Now in the second exercise we are asked to substitute the x value and get the value of y.

a) y = 3x ₊ 2 if x =8

substitute x value in the equation.

y = 3(8) ₊ 2

y = 24 ₊ 2

y = 26

b) y = 4x ₋ 1 if  x = 1/4

y = 4(1/4) ₋ 1

y = 1 ₋ 1

y = 0

c) y = 0.2x ₊ 5 if x = 10

y = 0.2(10) ₊ 5

y = 2 ₊ 5

y = 7

d) y = 10x ₊ 12 if x = 0.3

y = 10(0.3) ₊ 12

y = 3 ₊ 12

y = 15

In the last third bit we need to frame equations for the given word problems.

a) The difference between two numbers is 25.

let the two numbers be x and y.

x ₋ y = 25.

b) The product of 5 and p is equal to quotient of q and 2.

5 × p = q ÷ 2

c) The difference between 14 and 2y is equal to 6.

2y ₋ 14 = 6

d) The product of 15 and 4 is equal to four less than the sum of x and y.

15 × 4 = 4 ₋ (x₊y)

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tan(41π/36) can be written in terms of the tangent of a positive acute angle as (tan((1/9)π) + tan((37/36)π)) / (1 - tan((1/9)π)tan((37/36)π))

To express tan(41π/36) in terms of the tangent of a positive acute angle, we need to find an angle within the range of 0 to π/2 that has the same tangent value.

First, let's simplify 41π/36 to its equivalent angle within one full revolution (2π):

41π/36 = 40π/36 + π/36 = (10/9)π + (1/36)π

Now, we can rewrite the angle as:

tan(41π/36) = tan((10/9)π + (1/36)π)

Next, we'll use the tangent addition formula, which states that:

tan(A + B) = (tan(A) + tan(B)) / (1 - tan(A)tan(B))

In this case, A = (10/9)π and B = (1/36)π.

tan(41π/36) = tan((10/9)π + (1/36)π) = (tan((10/9)π) + tan((1/36)π)) / (1 - tan((10/9)π)tan((1/36)π))

Now, we need to find the tangent values of (10/9)π and (1/36)π. Since tangent has a periodicity of π, we can subtract or add multiples of π to get equivalent angles within the range of 0 to π/2.

For (10/9)π, we can subtract π to get an equivalent angle within the range:

(10/9)π - π = (1/9)π

Similarly, for (1/36)π, we can add π to get an equivalent angle:

(1/36)π + π = (37/36)π

Now, we can rewrite the expression as:

tan(41π/36) = (tan((1/9)π) + tan((37/36)π)) / (1 - tan((1/9)π)tan((37/36)π))

Since we are looking for an angle within the range of 0 to π/2, we can further simplify the expression as:

tan(41π/36) = (tan((1/9)π) + tan((37/36)π)) / (1 - tan((1/9)π)tan((37/36)π))

Therefore, tan(41π/36) can be written in terms of the tangent of a positive acute angle as the expression given above.

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Answer:

35

Step-by-step explanation:

f(x)=5x + 2

g(x)=1/2x+4

g(f(12))=

Find f(12) = 5*12 +2 = 60+2 = 62

Then find g(62) = 1/2 (62) +4 = 31+4 = 35

g(f(12) = 35

Answer:

14t²+42t

Step-by-step explanation:

So you're basically going to use distributive property.

(2t+6)+7t is the same as, (2t)7t + 6(7t).

2t(7t)= 14t² and 6(7t)= 42t.

Combine the two answers and you get 14t²+42t.

14t²+42t is the simplest form you can get to.

Answer:

bro its 24

Step-by-step explanation:

Answer:

4 x 7.5 = 30

Step-by-step explanation:

7-1/2 cups of fresh pineapple chunks

3-3/4 cup cantaloupe or other melon chunks

7-1/2 half fresh strawberries

juice of 15 oranges

7-1/2 cups cold water

7-1/2 tablespoons of honey (just under 1/2 cup) or 1/4 cup + 3-1/2 tablespoons honey  

a. The probability that 1 or more nonconforming units are found is 0.2311.

b. The probability that exactly 3 units are nonconforming is 0.000058.

a. To solve the problem, you can use the complement rule. The complement rule states that the probability of an event occurring is 1 minus the probability of the event not occurring. So, in this case, the probability that no nonconforming units are found in a sample of 25 units is:

P(no nonconforming) = (0.99)²⁵ = 0.787.

Therefore, the probability that 1 or more nonconforming units are found is:

P(1 or more nonconforming) = 1 - P(no nonconforming) = 1 - 0.787 = 0.213.

Rounded to four decimal places, this is 0.2311.

b. To solve the problem, you can use the binomial probability formula:

P(X=k) = (n choose k) * p^k * (1-p)^(n-k).

Here, n = 25 is the sample size, k = 3 is the number of nonconforming units, and p = 0.01 is the probability of a unit being nonconforming.

Using the formula, we get:

P(X=3) = (25 choose 3) * (0.01)³ * (0.99)²² = 2300 * 0.000001 * 0.5459 = 0.000058.

Rounded to six decimal places, this is 0.000058.

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You have the correct expression for the first answer box. It is s^3+12. Nice work.

The reasoning is that s^3 is the volume of the storage container on the left, and 12 is the volume of the storage container on the right. Adding the two container volumes gets the total volume.

-----------------------------------

For the second answer box, we'll plug in s = 4 to get

s^3 + 12 = 4^3 + 12 = 64 + 12 = 76

The total volume is 76 cubic feet.

So 76 is the answer to the second box

Answer:

A = 60 m^2

Step-by-step explanation:

The area of a triangle is

A = 1/2 bh where b is the base and h is the height

A = 1/2 (20)*6

A = 60 m^2

Answer:

See image

Step-by-step explanation:

Using a graphing calculator, first press the Y= button at the top left.

Then enter the equation given in the question.

Next, press 2nd then graph, and you will get the table. Put in whatever values for x to get y.

So your answer is 48, 18, 0, -6, 0, -18, 0, 48

The solution to the inequality is x < 3.3

The given parameters are:

Perimeter < 18.7 feet

Side lengths: 4.1 ft 4.9 ft 6.4 ft x ft

The perimeter of a shape is the sum of the side lengths

So, we have

Perimeter = 4.1 ft + 4.9 ft + 6.4 ft + x ft

Remove the unit

So, we have

Perimeter = 4.1+ 4.9 + 6.4 + x

Evaluate the sum

Perimeter = 15.4 + x

Recall that

Perimeter < 18.7 feet

So, we have

15.4 + x < 18.7

Subtract 15.4  from both sides

x < 3.3

Hence, the solution to the inequality is x < 3.3

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Answer:

x = 4

Step-by-step explanation:

x + 4(x+5) = 40 (Given)

x + 4x + 20 = 40 (Distribute the 4 into the x and 5)

5x + 20 = 40 (Add like terms)

5x = 20 (Subtract 20 on both sides)

x = 4 (Divide 5 on both sides)