Please answer correctly !!!! Will mark brainliest !!!!!!!!!!!!

A significance level of 0.10, we have enough evidence to conclude that the new copy machines have a significantly faster mean repair time compared to the older model.

To test if the new copy machines are faster to repair, we can set up the following null and alternative hypotheses:

Null Hypothesis (H₀): The mean repair time for the new copy machines is the same as the mean repair time for the older model.

Alternative Hypothesis (H₁): The mean repair time for the new copy machines is less than the mean repair time for the older model.

Let's perform a one-sample t-test to test these hypotheses. The test statistic is calculated as:

t = (sample mean - population mean) / (sample standard deviation / √(sample size))

Given:

Population mean (μ) = 93 minutes

Sample mean (\(\bar x\)) = 86.8 minutes

Sample standard deviation (s) = 14.6 minutes

Sample size (n) = 18

Significance level (α) = 0.10

Calculating the test statistic:

t = (86.8 - 93) / (14.6 / sqrt(18))

t = -6.2 / (14.6 / 4.24264)

t ≈ -2.677

The degrees of freedom for this test is n - 1 = 18 - 1 = 17.

Now, we need to determine the critical value for the t-distribution with 17 degrees of freedom and a one-tailed test at a significance level of 0.10. Consulting a t-table or using statistical software, the critical value is approximately -1.333.

Since the test statistic (t = -2.677) is less than the critical value (-1.333), we reject the null hypothesis.

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Answer:

y = - \(\frac{1}{2}\) x + 1

Step-by-step explanation:

calculate the slope m of the given line using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (0, - 3) and (x₂, y₂ ) = (2, 1) ← 2 points on the line

m = \(\frac{1-(-3)}{2-0}\) = \(\frac{1+3}{2}\) = \(\frac{4}{2}\) = 2

given a line with slope m then the slope of a line perpendicular to it is

\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{2}\)

the equation of a line in slope- intercept form is

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

the only line with m = - \(\frac{1}{2}\) , is

y = - \(\frac{1}{2}\) x + 1 ← perpendicular line

Answer:

13 dollars would be the answer you're welcome lol

Answer:

C

Step-by-step explanation:

you can add that they meet at a 90° angle

Answer:

1.      1 tablespoon Dijon mustard

2.     Combine six Tablespoons of cocoa powder and two Tablespoon of vegetable oil, butter or shortening

3.     2 cups of all-purpose flour, 3 teaspoons baking powder, and ½ teaspoon salt

3.      One teaspoon of dried basil leaves

4.      Combine 1 3/4 cups all-purpose flour with 1/4 cup cornstarch

Step-by-step explanation:

CAn I have brainliest? TYSMMMMMMMMMM

Answer:

1/12 for red marbles

1/12 for black marbles

Step-by-step explanation:

reason why both 1/12 it because you picked a marble first and you brought it back, then you pick again

Answer:

0

Step-by-step explanation

The company started off with $10 in the first section(quarter). They lost (subtract)$15 in the second section, In the third section they lost (subtract)$20. In the final section they gained (plus) a profit of $25.

10-15-20+25=0

Answer:

0

Step-by-step explanation:

Because you subtract the numbers in the end and your answer that you get is 0

Answer:

5/8 cups

Step-by-step explanation:

(3 3/4) / 6

(15/4) * (1/6) = 15/24 = 5/8 cup

Answer

The game costs 16 dollars

Hope it helps :))

Answer:

11

Step-by-step explanation:

√11 = 3.31662479036

3.31662479036 × 3.31662479036 = 11

Hope this helps, have a great day!

Answer:

36 sqm

Step-by-step explanation:

Area = base x height /2

= 12 x 6 /2

= 36sqm

Answer:

Step-by-step explanation:

The diagonals of a parallelogram bisect each other.

Point D is the midpoint of both diagonals.

Endpoint of EG is point G with coordinates (x, y):

Endpont of FH is point H with coordinates (x, y):

f(-7) will be equal to (-13) using given function and conditions.

What are function?

Function is an expression rule, or law that defines relationship between one variable and another variable.

An example of this would be y = x^2. If you put in anything for x, you get one output for y.

In given function,

y is represented by f(x),

f(x) = -x-6  for x ≠ 0

f(x) = 2      for x = 0

We need to find for x = -7 i.e. not equal to 0

So, we will take F(x) = -x-6

So, f(-7) = -7-6

             = -13

So, the value of f(-7) = -13.

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Answer:

Question 1: B

Question 2: D

Question 3: D

Step-by-step explanation:

\(2x^{2}\)+4x-3x-6

group and simplify

(2x-3)(x+2)

Answer: 20 cards.

Step-by-step explanation: If Sarah can make 4 cards in 60 minutes, then she can make 1 card in 60/4 = 15 minutes.

Therefore, in 300 minutes, she can make 300/15 = <<300/15=20>>20 cards.

the degree measure for \(1 \pi / 2\) to the nearest degree is approximately \(57^\circ\).

To determine the degree measure for \(1 \pi / 2\), we need to convert the given radian measure into degrees. One full revolution around a circle is equal to \(2\pi\) radians, which corresponds to \(360^\circ\).

Using the conversion factor, we can set up a proportion to find the degree measure:

\(\frac{1 \pi}{2}\) radians = \(\frac{x}{360^\circ}\)

Cross-multiplying, we get:

\(2 \pi \cdot x = 1 \cdot 360^\circ\)

Simplifying the equation, we have:

\(2 \pi \cdot x = 360^\circ\)

To solve for \(x\), we divide both sides of the equation by \(2 \pi\):

\(x = \frac{360^\circ}{2 \pi}\)

Evaluating this expression, we find:

\(x \approx 57.3^\circ\)

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Answer

L' (5, -1)

M' (8, -3)

N' (1, -8)

The sketch of this rotated triangle is presented below

Explanation

Rotating a given coordinate A(x, y) 90° about the origin in the clockwise direction gives a new coordinate A'(y, -x)

So, for each of these,

L (1, 5) → L' (5, -1)

M (3, 8) → M' (8, -3)

N (8, 1) → N' (1, -8)

So, to draw this image, we will mark this new rotated points on the graph, then connect the points to form triangle L'M'N'.

The sketch of this rotated triangle is presented above under 'Answer'

Hope this Helps!!!

Main answer:Long multiplication is a method of multiplying two difficult-to-multiply numbers.

supporting answer:

what is multiple long?

Finding the product is not always this simple. In such cases, the long method of multiplication is used.

body of the answer:

let us understand long multiplication by taking an example

     6.Add the two partial products

final answer: by following above steps we can perform long multiplication

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Long multiplication is a method of multiplying two difficult-to-multiply numbers.

What is multiple long?

Finding the product is not always this simple. In such cases, the long method of multiplication is used.

Let us understand long multiplication by taking an example

1. Write the two numbers one beneath the other in the order of their digits. On top, write the larger number, and on the left, a multiplication sign.

2. Multiply the top number's one digit by the bottom number's one digit.

3. Put a 0 below the one's digit,

4. Multiply the top number's ones digit by the bottom number's tens digit.

5. Multiply the top number's tens digit by the bottom number's tens digit.

6. Add the two partial products

By following the above steps we can perform long multiplication

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In a multiple regression model, the variance of the error term e is assumed to be the same for all values of the independent variable. Therefore, the correct option is C) the same for all values of the independent variable.

In multiple regression, we use several independent variables to predict the values of the dependent variable. The model estimates the relationship between the independent variables and the dependent variable by calculating the coefficients of the independent variables.

The error term e represents the difference between the predicted value of the dependent variable and the actual value of the dependent variable.

The assumption of constant variance of the error term e is known as homoscedasticity. It means that the variance of the errors is the same for all levels of the independent variables.

This assumption is important because, if the errors have different variances across the levels of the independent variable, the model may not accurately capture the relationship between the independent variables and the dependent variable, leading to biased and unreliable results. so, the correct answer is C).

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Answer:

13

Step-by-step explanation:

The way to find the distance between two points on the coordinate plane is to use the distance formula, which is basically a way of applying the Pythagorean Theorem.

The distance formula is \(\sqrt{(x_{1}- x_{2} )^2 + (y_{1}- y_{2})^2}\). Let's say the coordinate (3, -8) is (x1, y1) and the coordinate (8, 4) is (x2, y2). We can plug these values into the formula:

\(\sqrt{(3- 8 )^2 + (-8 - 4)^2}\\\sqrt{(-5)^{2} + (-12)^{2}} \\\sqrt{25+144} \\\sqrt{169} \\13\)

So, the distance between the two points is 13.

Answer:

The correct answer is B. 20,000

Step-by-step explanation:

To determine the man's total monthly salary, we can set up a simple equation using the given information. Let's denote the total monthly salary as "x."

According to the information provided, 33% of the man's monthly salary is equal to Birr 6600. We can express this relationship mathematically as:

0.33x = 6600

To solve for "x," we need to isolate it on one side of the equation. We can do this by dividing both sides of the equation by 0.33:

x = 6600 / 0.33

Evaluating the right side of the equation gives:

x ≈ 20,000

Therefore, the man's total monthly salary is approximately Birr 20,000.

Hence, the correct answer is B. 20,000.

Answer:

The answer is 30 ROWS.

Step-by-step explanation:

Please give brainlyest

Answer:

should be 0.28125

Step-by-step explanation:

Answer:

4(x+3)²+4

Step-by-step explanation:

4x²+24x+40=0

using the equation above

a:4 b:24 c:40

4(x+(24÷2x4))² + (40-(24²÷4x4))

4(x+3)²+(40-36)

4(x+3)²+4

For x = 7 will make the third side equal, so the triangles will be congruent by SSS.

What is the midpoint of the line?

In geometry, the midpoint is the middle of a line segment. It is equidistant from both endpoints and serves as the segment and endpoint centroid.

Given that M is a midpoint.

By definition of midpoint AM=MD.

It is given AB=CD in figure.

Two of the sides are equal .to prove the triangles to be congruent by SSS the third side must be equal

That is BM=CM,

Or  4x-1=3x+6

4x - 3x - 1 = 3x - 3x + 6

Simplifying, we get

x = 7.

Hence, x = 7 will make the third side equal, so the triangles will be congruent by SSS.

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Answer:

C-7

Step-by-step explanation:

took the assignment

Therefore, the expression equivalent to the given expression \(\sqrt x+11=15\) is \(x=16\).

The given expression is,

\(\sqrt x+11=15\)

It is required to solve the given expression.

Firstly, solve for the constant terms and then take square of both sides of the equation.

The given equation can be solved as,

\(\sqrt x+11=15\\ \sqrt x=4\\ x=4^2\\ x=16\)

Therefore, the expression equivalent to the given expression \(\sqrt x+11=15\) is \(x=16\).

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The equation is equivalent to the given equation is \(\sqrt{x} =15-11\).

Equation; \(\rm \sqrt{x} +11 =15\)

Which equation is equivalent to the given equation?

To determine the equation is equivalent to the given equation following all the steps given below.

Equation; \(\rm \sqrt{x} +11 =15\)

Then,

Subtracting 11 from both sides.

\(\rm \sqrt{x} +11 =15\\\\\rm \sqrt{x} +11-11 =15-11\\\\\rm \sqrt{x} =15-11\)

Hence, the equation is equivalent to the given equation is \(\sqrt{x} =15-11\).

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The argument that the sun will rise tomorrow morning and set tomorrow evening is based on inductive reasoning, using past observations of consistent sunrise and sunset patterns to predict future occurrences.

1. The observation: Throughout your entire life, you have consistently noticed that the sun rises every morning and sets every evening. This is an observation based on personal experience.

2. Inductive reasoning: Based on this observation, you make an inference or prediction about the future. You reason that since the sun has always risen in the morning and set in the evening in the past, it is likely to continue doing so in the future.

3. Pattern and consistency: The assumption is that natural phenomena, such as the rising and setting of the sun, follow a pattern or regularity. This assumption is based on the principle of uniformity of nature, which suggests that the future will resemble the past in terms of natural occurrences.

4. The limitations of inductive reasoning: While inductive reasoning provides a useful way to make predictions based on past observations, it is not foolproof. There is always a small possibility that something unexpected could happen, such as a rare astronomical event or an external factor that alters the pattern. However, based on the available evidence and the consistency of the observed pattern, the prediction that the sun will rise tomorrow morning and set tomorrow evening is highly probable.

In summary, the argument relies on inductive reasoning, using the past consistent observation of the sun's rising and setting to predict that it will continue to do so in the future. While this reasoning is not infallible, it is a reasonable and practical way to make predictions based on observed patterns in nature.

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To eliminate the roots in 1.1 and 1.2, we can use trigonometric substitution. In 1.1, we can substitute x = 4 sin(theta) to eliminate the root of 4. In 1.2, we can substitute z = 7 sin(theta) to eliminate the root of 7.

1.1. V64+2 + 1 We can substitute x = 4 sin(theta) to eliminate the root of 4. This gives us:

V64+2 + 1 = V(16 sin^2(theta) + 2 + 1) = V16 sin^2(theta) + V3 = 4 sin(theta) V3 1.2. V4z2 – 49

We can substitute z = 7 sin(theta) to eliminate the root of 7. This gives us:

V4z2 – 49 = V4(7 sin^2(theta)) – 49 = V28 sin^2(theta) – 49 = 7 sin(theta) V4 – 7 = 7 sin(theta) (2 – 1) = 7 sin(theta)

Here is a more detailed explanation of the substitution:

In 1.1, we know that the root of 4 is 2. We can substitute x = 4 sin(theta) to eliminate this root. This is because sin(theta) can take on any value between -1 and 1, including 2.

When we substitute x = 4 sin(theta), the expression becomes V64+2 + 1 = V(16 sin^2(theta) + 2 + 1) = V16 sin^2(theta) + V3 = 4 sin(theta) V3

In 1.2, we know that the root of 7 is 7/4. We can substitute z = 7 sin(theta) to eliminate this root. This is because sin(theta) can take on any value between -1 and 1, including 7/4.

When we substitute z = 7 sin(theta), the expression becomes: V4z2 – 49 = V4(7 sin^2(theta)) – 49 = V28 sin^2(theta) – 49 = 7 sin(theta) V4 – 7 = 7 sin(theta)

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The linear function for the cost is given as follows:

C(t) = 10 + 3t.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

We have that each hour, the cost increases by $3, hence the slope m is given as follows:

m = 3.

For a time of 0 hours, the cost is of $10, hence the intercept b is given as follows:

b = 10.

Thus the function is given as follows:

C(t) = 10 + 3t.

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