The volume of rainfall collected in a gauge of diameter 125 mm for a particular day was 10369.5 mm. Showing all working, determine the rainfall in mm of the rain poured into a measuring cylinder of di

If the null hypothesis is true and there is no treatment effect, the expected value on average for the F-ratio would be 1.00. The correct answer is option (b) 1.00

In hypothesis testing using the F-test, the F-ratio is calculated by dividing the variance between groups (treatment effect) by the variance within groups (random variation). When the null hypothesis is true and there is no treatment effect, the numerator (variance between groups) and the denominator (variance within groups) would be similar, resulting in an F-ratio close to 1.

Therefore, the correct answer is b. 1.00, as the expected value for the F-ratio would be around 1 when the null hypothesis is true and there is no treatment effect.

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The answer is option B: $8,014,195.

We can use the formula for the future value of an annuity to solve this problem:

FV = PMT x [(1 + r)^n - 1] / r

Where:

PMT = $12,000 (annual payment)

r = 11.5% (annual interest rate)

n = 40 (number of years)

Plugging in the values, we get:

FV = $12,000 x [(1 + 0.115)^40 - 1] / 0.115

FV ≈ $8,014,195

Therefore, the answer is option B: $8,014,195.

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Answer:

A³ = [ 1, 1, 27, 125, 8, 216, -8, -1, -27].

Step-by-step explanation:

All the numbers in the bracket should be cubed.

I hope you understood ♥️♥️♥️

Step-by-step explanation:

\(\large\underline{\sf{Solution-}}\)

Given matrix is

\(\rm :\longmapsto\: \begin{gathered}\sf A=\left[\begin{array}{ccc}1&1&3\\5&2&6\\ - 2&-1& - 3\end{array}\right]\end{gathered}\)

Consider,

\(\red{\rm :\longmapsto\: {A}^{2}}\)

\(\rm \:  =  \: A \times A\)

\( \\ \rm \:  =  \: \begin{gathered}\sf \left[\begin{array}{ccc}1&1&3\\5&2&6\\ - 2&-1& - 3\end{array}\right]\end{gathered}\begin{gathered}\sf \left[\begin{array}{ccc}1&1&3\\5&2&6\\ - 2&-1& - 3\end{array}\right]\end{gathered} \\ \)

\(\rm \:  =  \: \begin{gathered}\sf \left[\begin{array}{ccc}1 + 5 - 6&1 + 2 - 3&3 + 6 - 9\\5 + 10 - 12&5 + 4 - 6&15 + 12 - 18\\ - 2 - 5 + 6&-2 - 2 + 3& - 6 - 6 + 9\end{array}\right]\end{gathered}\)

\(\rm \:  =  \: \begin{gathered}\sf \left[\begin{array}{ccc}0&0&0\\3&3&9\\ - 1&-1& - 3\end{array}\right]\end{gathered}\)

\( \\ \bf\implies \: {A}^{2} = \begin{gathered}\sf \left[\begin{array}{ccc}0&0&0\\3&3&9\\ - 1&-1& - 3\end{array}\right]\end{gathered} \\ \)

Now, Consider

\(\red{\rm :\longmapsto\: {A}^{3}}\)

\(\rm \:  =  \: {A}^{2} \times A\)

\( \\ \rm \:  =  \: \begin{gathered}\sf \left[\begin{array}{ccc}0&0&0\\3&3&9\\ - 1&-1& - 3\end{array}\right]\end{gathered} \times \begin{gathered}\sf \left[\begin{array}{ccc}1&1&3\\5&2&6\\ - 2&-1& - 3\end{array}\right]\end{gathered}\)

\( \\ \rm \:  =  \: \begin{gathered}\sf \left[\begin{array}{ccc}0&0&0\\3 + 15 - 18&3 + 6 - 9&9 + 18 - 27\\ - 1 - 5 + 6&-1 - 2 + 3& - 3 - 6 + 9\end{array}\right]\end{gathered} \\ \)

\( \\ \rm \:  =  \: \begin{gathered}\sf \left[\begin{array}{ccc}0&0&0\\0&0&0\\ 0&0&0\end{array}\right]\end{gathered}\)

\( \\ \bf\implies \: {A}^{3}   =  \: \begin{gathered}\sf \left[\begin{array}{ccc}0&0&0\\0&0&0\\ 0&0&0\end{array}\right]\end{gathered}\)

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Matrix multiplication is defined when number of columns of pre multiplier is equal to the number of rows of post multiplier.

Matrix multiplication may or may not be Commutative.

Matrix multiplication is Associative. i.e (AB)C = A(BC)

Matrix multiplication is Distributive. i.e. A ( B + C ) = AB + AC

Answer: Well, it’s obviously not the first one. But if you could scroll down, so I could see the other graphs, that would be amazing. It would also help me answer the question!

Step-by-step explanation:

Answer:

56

Step-by-step explanation:

each can fit 8 chickens so that means that 7 coops can fit 56 chickens

8×7=56

Answer:35

Step-by-step explanation:

The volume of a cylinder is calculated by multiplying the area of its base by its height. The formula for the volume of a cylinder is V = πr²h, where r is the radius of the base and h is the height.

The volume of a cone is calculated by multiplying the area of its base by its height and then dividing by 3. The formula for the volume of a cone is V = (1/3)πr²h, where r is the radius of the base and h is the height.

Since Sonequa’s two containers have equal radii and equal heights, it can be concluded that the volume of the cylinder is three times the volume of the cone. This means that if Sonequa fills the cone with water and pours it into the cylinder, she will need to repeat this process three times to fill the cylinder completely.

So, the claim that is most likely to be supported using the result of Sonequa’s investigation is: “The volume of a cylinder with the same radius and height as a cone is three times greater than the volume of the cone.”

Answer:

30.55 + 6.18 = $36.73

Step-by-step explanation:

mark the brainliest

Answer:

16 inches³

Step-by-step explanation:

Volume of prism = base area * height

Base is square, so area of base = side * side = 2 * 2 = 4 in²

Volume of prism = 4 * 4

Volume of prism = 16 in³

Answer:

Hope should not pull her defender.

Step-by-step explanation:

When Hope has pulled her defender:

The team had lost 4 times, tied 2 times, and won 3 times.

Hence, the total number of times she meets her goal is:

6 times (Since the goal is to either tie or win the game )

Hence, the probability that she meets her goal is =   6/9=2/3=0.66

When she  left her defender in the game:

The team has lost 1 time, tied 3 times, and won 6 times.

Hence, the total number of times she meets her goal is: 9

Hence, the probability that she meets her goal is: 9/10=0.9

As the probability of meeting her goal is more when she left her defender in the game is more.

 Hence, Hope should not pull her defender.

Gail scores 153 points on average every bowling game, with a 14.5 point standard deviation. Assume Gail's bowling game points are evenly divided. With x = 108, the mean is 153, and the z-score is  -3.103.

The z-score when Gail scores 108 points in a game is calculated as:

z = (x - μ) / σ

where x = 108 is the observed score, μ = 153 is the mean, and σ = 14.5 is the standard deviation.

Plugging in the values, we get:

z = (108 - 153) / 14.5 ≈ -3.103

Rounding to three decimal places, the z-score when Gail scores 108 points in a game is approximately -3.103.

The mean is μ = 153, which is given in the problem statement.

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Answer: 9m^2 - 4n + 12

Step-by-step explanation:

To factor out the greatest common factor (GCF) from the expression 9m^2 - 4n + 12, we need to find the largest common factor of all the terms.

Let's examine each term individually:

9m^2: The only common factor between 9 and m^2 is 1.

-4n: The only common factor between -4 and n is 1.

12: The factors of 12 are 1, 2, 3, 4, 6, and 12. However, there is no common factor between 12 and the other terms.

Since there is no common factor other than 1, we cannot factor out anything more significant than 1. Therefore, the factored form of the expression 9m^2 - 4n + 12 is simply the original expression itself:

To factor out the greatest common factor (GCF) from the expression 9m^2 - 4n + 12, let's first identify the GCF of the coefficients. In this case, the GCF of 9, -4, and 12 is 1 since there is no common factor greater than 1.

Next, we'll factor out the GCF from each term:

9m^2 = (9)(m^2)

-4n = (-4)(n)

12 = (12)(1)

Now we can rewrite the expression factoring out the GCF:

9m^2 - 4n + 12 = (1)(9m^2) + (1)(-4n) + (1)(12)

Simplifying this, we get:

9m^2 - 4n + 12 = 9m^2 - 4n + 12

Since there is no common factor other than 1, the expression cannot be further factored.

Answer:

the blank= 12.82

Step-by-step explanation:

Answer:

12.82

Step-by-step explanation:

x = blank

x / (-2) = -6.41

multiply both sides by -2

x = 12.82

Answer:

isosceles but not equilateral

Answer:

It has two of its sides equal in length.

So the Answer is ISOSCELES BUT NOT EQUILATERAL

We reject the null hypothesis and conclude that the data provide sufficient evidence to support the claim that the mean hours of TV watched per day is less than 3 hours.

What is mean?

In statistics, the mean is a measure of central tendency, also known as the average. It is calculated by adding up all the values in a dataset and dividing the sum by the number of values in the dataset.

To determine whether the data provide sufficient evidence to conclude that the mean hours of TV watched per day is less than the claim of 3 hours, we can conduct a one-sample t-test with the following hypotheses:

Null hypothesis: The mean hours of TV watched per day is greater than or equal to 3 hours (µ ≥ 3).

Alternative hypothesis: The mean hours of TV watched per day is less than 3 hours (µ < 3).

We will use a significance level (alpha) of 0.05.

First, we need to calculate the test statistic (t-value) using the formula:

t = (\(\bar{x}\) - µ) / (s / sqrt(n))

Where:

\(\bar{x}\) = sample mean (2.97)

µ = population mean claim (3)

s = sample standard deviation (2.61)

n = sample size (1312)

Plugging in the values, we get:

t = (2.97 - 3) / (2.61 / sqrt(1312)) = -2.64

Next, we need to determine the degrees of freedom (df), which is equal to n - 1 = 1311.

Using a t-distribution table with df = 1311 and a significance level of 0.05, we find the critical t-value to be -1.645.

Since our calculated t-value of -2.64 is less than the critical t-value of -1.645, we reject the null hypothesis and conclude that the data provide sufficient evidence to support the claim that the mean hours of TV watched per day is less than 3 hours.

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Answer:

Area = 36 cm^2

Explanation:

The area of a parallelogram is the product of width and height

Now in our case w = 9 cm and h = 4cm; therefore, the area is

which is our answer!

your ans is here........

Answer:

y^6

Step-by-step explanation:

\( \frac{y}{1} \times \frac{{y}^{5} }{1} \)

=

\( {y}^{6} \)

Answer:

60

Step-by-step explanation:

8 x 3 = 24

9 x 4 = 36

36 + 24 = 60

brainliest please

Answer:

C.

Step-by-step explanation:

8 x 3=24

9 x 4=36

24+36=60

There is only one different square root of A.(a) To find the square roots of matrix A = [2 2; 2 2]: Let's consider two matrices B1 and B2: B1 = [1 1; 1 1]; B2 = [-1 -1; -1 -1].

Now, let's check if BB = A for each matrix: B1B1 = [1 1; 1 1] * [1 1; 1 1] = [2 2; 2 2] = A; B2B2 = [-1 -1; -1 -1] * [-1 -1; -1 -1] = [2 2; 2 2] = A. Both B1 and B2 satisfy BB = A, so they are two possible square roots of matrix A. (b) For matrix A = [5 0; 0 9], let's consider a matrix B: B = [√5 0; 0 √9] = [√5 0; 0 3] .We can see that BB = [√5 0; 0 3] * [√5 0; 0 3] = [5 0; 0 9] = A.

Thus, there is only one different square root of A. (c) Not every 2x2 matrix has a square root. For a square root of a matrix to exist, the matrix must be positive definite or positive semidefinite. If the eigenvalues of the matrix are negative or complex, there won't be any real square root. Additionally, if the matrix has zero eigenvalues with multiplicities greater than one, it may not have a unique square root. Therefore, the existence of a square root for a 2x2 matrix depends on its eigenvalues and their properties.

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Answer:

(ABOUT) 28.27433

Step-by-step explanation:

C = 2πr or dπ (because 2*r = d)

For this case:

C = dπ

C = 9π

C = 28.27433

You can round if you want to (like 28.3 or 29.27).

Therefore, 0.4854 to 0.5546 is the 95% confidence range for the percentage of businesses that are anticipated to need greater employee payments for health insurance coverage in 2009.

A. Computation the margin of error

First step is to calculate the Confidence level using this formula

Confidence level= 1 -α

Where,

α=0.95

Let's enter the formula.

Level of confidence = 1-0.95

Level of confidence = 0.05

The following step is to use this formula to get Z.

Zα/2

Let's enter the formula.

Z= 0.05/2

Z=0.025

Finding the Z score of Z=0.025 is the third stage.

Zα/2=1.96

Let's now use this approach to calculating the margin of error.

Margin of error=Zα/2√p(1-p)/n

Where,

Zα/2=1.96

p=0.52

n=800

Let plug in the formula

Margin of error=1.96√0.52(1-0.52)/800

Margin of error=1.96√0.52(0.48)/800

Margin of error=1.96√0.2496/800

Margin of error=1.96√0.000312

Margin of error=0.0346

Therefore Margin of error will be 0.0346

B. Calculating the proportion of businesses anticipated to demand greater employee payments for health insurance coverage in 2009 with a 95% confidence interval

computation for the confidence interval's outer limits

p- Zα/2√p(1-p)/n

Where,

Zα/2=1.96

p=0.52

n=800

Let plug in the formula

Confidence interval=0.52-1.96√0.52(1-0.52)/800

Confidence interval=0.52-1.96√0.52(0.48)/800

Confidence interval=0.52-1.96√0.2496/800

Confidence interval=-0.52-1.96√0.000312

Confidence interval=0.4854

Computation for the boundaries of confidence interval

Using this formula

p+ Zα/2√p(1-p)/n

Where,

Zα/2=1.96

p=0.52

n=800

Let plug in the formula

Confidence interval=0.52+1.96√0.52(1-0.52)/800

Confidence interval=0.52+1.96√0.52(0.48)/800

Confidence interval=0.52+1.96√0.2496/800

Confidence interval=-0.52+1.96√0.000312

Confidence interval=0.5546

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Answer:

Length of the side of the square is 12 cm.

Step-by-step explanation:

Given information:

\(\text{side}_1 = 8a \text{ cm (side of a rectangle)}\\\text{side}_2 = 7a \text{ cm (side of a rectangle)}\\P_\text{rec} = 42 + P_\text{sq} \text{ cm } (P_\text{rec} \text{ is perimeter of the rectangle and } \\P_\text{sq} \text{ is the perimeter of the square)}\\\text{side}_\text{sq} = 4a \text{ cm (side of a square)}\)

Our mission is to find the length of the side of the square. We know that the side of the square is 4a cm, so to be able to answer we have to find the value of a first.

Step 1: Finding the value of a

Key to finding the value of a is the perimeter of the rectangle. Notice that we can calculate the perimeter of the rectangle in two different ways.

One way was given in the question:
\(P_\text{rec} = 42 + P_\text{sq}\)

We want equations in terms of a, so we can calculate a. Perimeter of the square can be calculated as:

\(\text{perimeter}_\text{square} = 4 \times \text{side}\)

Substituting the values in equation:

\(P_\text{sq} = 4 \times 4a\\P_\text{sq} = 16a\)

Therefore the first equation for perimeter of the rectangle becomes:

\(P_\text{rec} = 42 + P_\text{sq}\\\fbox{\begin{test}P_\text{rec} = 42 + 16a\end{test}}\)

For the second way we use formula for the perimeter of rectangle which is:
\(\text{perimeter}_\text{rectangle} = 2 \times \text{width} + 2 \times \text{length}\)

Substituting the values in equation:
\(P_\text{rec} = 2 \times 7a + 2 \times 8a\\P_\text{rec} = 14a + 16a\\\fbox{\begin{test}P_\text{rec} = 30a\end{test}}\)

Now let's equate both perimeters of the rectangle.

\(P_\text{rec} = P_\text{rec}\\42+16a = 30a\\42 =14a\\3 = a\)

Step 2: Find the length of the side of the square

It's given that side of the square is 4a cm. All we have to do is substituting a with its value, which we got in the previous step.

\(\text{side}_\text{sq} = 4a\\\text{side}_\text{sq} = 4(3)\\\text{side}_\text{sq} = 12 \text{ cm}\)

Answer:

Step-by-step explanation:

12.8/2 = 96 / 2 = 48

the answer is the first one

Answer:

Whole numbers are ALWAYS integers.

Answer: 222.78

Step-by-step explanation:

Answer:

5x⁴

Step-by-step explanation:

10x⁸÷2x⁴=

5x⁴

Answer:

The Answer is A and B

Step-by-step explanation:

Because out of all the answers these are

the most suitable ones

(Pls Mark as brainliest (: )

Answer: 12.8x2

Step-by-step explanation:

Based on the given task content; the solution to the Multiplication of 3.2x and 4x is 12.8x².

The correct answer option is option a.

This is a process of computing the sum of a number with itself in a specified number of times. Multiplication is also called product and it is represented by the sigh ×. The product of a and b means ab.

For instance, from the task which is given above;

3.2x and 4x

= 3.2x × 4x

= 12.8x²

In this answer above,

12.8 is the coefficient and

x² is the variable.

In conclusion, 3.2x × 4x will give the result 12.8x².

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