Write a fraction in which the numerator and denominator are both greater than 9. Then write the fraction in simplest

form

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Answer:

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Answer:

So the three consecutive numbers are:

14,15, and 16.

Step-by-step explanation:

Let the three consecutive integers be = x , x+1,  x+ 2 sum = 45

then,

x + (x + 1) + (x +2)  = 45

-> 3x + 3 = 45

-> 3x = 45 - 3

-> x = 14

-> x = 14

-> x + 1 = 15

-> x + 2 = 16

So, three consecutive numbers are : 14, 15, and 16.

The probability density of a random variable is given in the form of a triangular shape with co-ordinates (0, 0), (0.5, 2), (1, 0). The probability that X is at least 0.5 is equal to the area under the curve of X when x  0.5. Option (c) 1/2 is the correct answer.

Given, probability density of a random variable x is given in the following figure.The probability that x is at least 0.5 can be calculated as follows:

From the given graph, it is observed that the probability density of a random variable is given in the form of a triangular shape with the following co-ordinates (0, 0), (0.5, 2), (1, 0).The probability density function of a continuous random variable X is represented by the area under the curve.The probability that X is at least 0.5 is equal to the area under the curve of X when x ≥ 0.5.

The total area under the curve is given as follows:

Area of triangle OAB = 1/2 × OA × OB

= 1/2 × 0.5 × 2

= 0.5

The probability that X is at least 0.5 can be calculated as follows:

Area under the curve for X when x ≥ 0.5= Area of triangle OCD

= 1/2 × CD × OD

= 1/2 × (1 – 0.5) × (2 – 0)

= 0.5

The probability that X is at least 0.5 is 0.5 or 1/2. Therefore, option (c) 1/2 is the correct answer.

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9514 1404 393

Answer:

  p = (q+4)/3

Step-by-step explanation:

Solve for p.

  \(q-2p=p+4\\\\q=3p+4 \qquad\text{add $2p$}\\\\q-4=3p\qquad\text{subtract 4}\\\\ \dfrac{q+4}{3}=p\qquad\text{divide by 3}\\\\ \boxed{p=\dfrac{q+4}{3}}\)

The given function is

\(\sf y=3ln(x)\)

Which is a logarithm function. An important characteristic of logarithms is that their domain cannot be negative, because the logarithm of a negative number is undefined, the same happens for x = 0.

Therefore, the domain of this function is all real numbers more than zero.

The image attached shows the graph of this function, there you can notice its domain restriction.

So, the right answer is the first choice: x greater than 0

Answer:

m<C = 110

Step-by-step explanation:

<a = <b

<b = 35 so,

<a = 35

<c = x

<a + <b + <c = 180

35 + 35 + x = 180

70 + x = 180

x = 180 - 70

x = 110

1. The point of concurrency for the angle bisectors of a triangle is called the incenter.   2. The point of concurrency for the medians of a triangle is called the centroid.

Angle Bisectors of a Triangle: The point of concurrency for the angle bisectors of a triangle is called the incenter. The incenter is the point where the three angle bisectors intersect. An angle bisector is a line that divides an angle into two equal angles. The incenter is equidistant from the three sides of the triangle, making it the center of the inscribed circle (also known as the incircle) that can be drawn inside the triangle.

Medians of a Triangle: The point of concurrency for the medians of a triangle is called the centroid. The centroid is the point where the three medians intersect. A median is a line segment that connects a vertex of a triangle to the midpoint of the opposite side. The centroid divides each median into two segments, with the segment connecting the centroid to the vertex being twice as long as the segment connecting the centroid to the midpoint. The centroid is often described as the "center of gravity" or the "center of mass" of the triangle because it balances the triangle's weight distribution.

In summary, the incenter is the point where the angle bisectors of a triangle intersect, while the centroid is the point where the medians of a triangle intersect. Both points of concurrency have special properties and significance in geometry.

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Answer:

pretty sure its positive

Step-by-step explanation:

hope this helps, have  a great day!

Answer:

A is correct

Step-by-step explanation:

if we know that both x and y are positive, they are both going to be negative

and since we know that, -x divided by -y is the same as saying something negative divided by something negative which is ALWAYS positive because negatives cancel out leaving the answer positive something, something

Answer: f(3) = 7

Step-by-step explanation:

f(3) = 5(3) - 8

15 - 8

f(3) = 7

Hey there!☺

\(Answer:\boxed{f(3)=7}\)

\(Explanation:\)

What is the value of \(f(3)\) when \(f(x) = 5x - 8\)?

If you want to find to find the value of \(f(3)\), you will have to substitute the value in the function. And at last, you will evaluate. After you evaluate, you will get the answer.

\(f(3)=7\)

Hope this helps!

♥answer♥

6.4 feet

♥plz give me brain list it would really help a lot♥

Answer:

28.8 inches or 2'4.8"

Step-by-step explanation:

0.60*48= 28.8

Hope this helped! (ﾉ◕ヮ◕)ﾉ*:･ﾟ✧

Have a nice day! ( ﾟдﾟ)つ Bye

Answer:

B

Step-by-step explanation:

58×20=1160

0+160+1000=1160

The data suggests that the professor is not consistent with the suggested grade distribution.

Let's explain why below: Given data :

We have the following distribution:5% F's, 10% D's, 40% O's, 30% B's, and 15% A's.

The total number of students can be calculated by assuming that the total number of students is 100%. Therefore, the total number of students is 100% or 1.

Using this, we can find the expected number of students who received each grade as follows:5% of students got an F. Therefore, 0.05*1 = 0.0510% of students got a D.

Therefore, 0.1*1 = 0.140% of students got a C. Therefore, 0.4*1 = 0.430% of students got a B.

Therefore, 0.3*1 = 0.315% of students got an A. Therefore, 0.15*1 = 0.15

Now, we can compare the expected values and the values obtained by the professor

.The number of F's expected is:0.05*243 ≈ 12.15

The number of D's expected is:0.1*243 ≈ 24.3  

The number of C's expected is:0.4*243 ≈ 97.2The number of B's expected is:0.3*243 ≈ 72.9

The number of A's expected is:0.15*243 ≈ 36.45The observed values of the grades that the professor obtained were:12 F's34 D's122 C's68 B's27 A's

To determine if the professor's grades align with the expected values, we use the chi-squared goodness-of-fit test as follows:χ² = ∑(O - E)²/

Ewhere, O = Observed value, E = Expected value, and ∑ is summed over all possible outcomes of the variable.

We can calculate this by:χ² = (12-12.15)²/12.15 + (34-24.3)²/24.3 + (122-97.2)²/97.2 + (68-72.9)²/72.9 + (27-36.45)²/36.45= 0.024 + 1.144 + 7.064 + 0.910 + 2.536= 11.678

Since there were 5 categories in the expected distribution, the number of degrees of freedom is 5 - 1 = 4. We can now use a chi-square table to find the critical value for a 95% confidence level with 4 degrees of freedom.

Using a chi-square table, the critical value for a 95% confidence level with 4 degrees of freedom is 9.488.Let's now interpret the results:

Since the calculated value of chi-square (11.678) is greater than the critical value of chi-square (9.488), the null hypothesis can be rejected.

The null hypothesis in this case was that the professor's grade distribution is consistent with the suggested grade distribution.

Therefore, the data suggests that the professor's grade distribution is not consistent with the suggested grade distribution.

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Tamara needs tiles to make a border for her bathroom wall. The border will be 9 ft long and 1/3 ft wide. Each tile measures 1/3 ft by 1/3 ft. Each box of tiles contains 6 tiles.  Tamara needs 5 boxes of tiles.

First, we need to determine the area of the border in square feet. We are given that the border will be 9 ft long and 1/3 ft wide, so its area is:

Area = length x width

Area = 9 ft x 1/3 ft

Area = 3 ft²

Next, we need to determine the area of one tile in square feet. We are given that each tile measures 1/3 ft by 1/3 ft, so its area is:

Area per tile = length x width

Area per tile = 1/3 ft x 1/3 ft

Area per tile = 1/9 ft²

To cover the 3 ft² border with tiles that have an area of 1/9 ft² each, we need:

Number of tiles = Area to cover / Area per tile

Number of tiles = 3 ft² / (1/9 ft²)

Number of tiles = 27 tiles

Since each box of tiles contains 6 tiles, Tamara needs:

Number of boxes = Number of tiles / Tiles per box

Number of boxes = 27 tiles / 6 tiles per box

Number of boxes = 4.5 boxes

We can't buy a fractional part of a box, so Tamara will need to purchase 5 boxes of tiles.

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Answer:

-12x+3

Step-by-step explanation:

Multiply -3 to 4x first then do it for -1

So -3*4x = -12x and -3*-1 = 3

So -12x + 3

Hope this helps!

Answer:

the answer is -12x+3

(a) f(g(x))=−6(x+71​)−7=−x+76​−7. (b) g(f(x))=−6x−7+71​=−6x1​=−6x1​. (c) f and g are not inverses of each other because f(g(x))=x and g(f(x))=x.

In more detail, f(g(x)) is found by substituting g(x) into f(x). This means that we replace x in f(x) with g(x). In this case, g(x)=x+71​, so we have:

f(g(x))=−6(x+71​)−7=−x+76​−7

Similarly, g(f(x)) is found by substituting f(x) into g(x). This means that we replace x in g(x) with f(x). In this case, f(x)=−6x−7, so we have:

g(f(x))=−6x−7+71​=−6x1​=−6x1​

Finally, we can see that f and g are not inverses of each other because f(g(x))=x and g(f(x))=x. In other words, if we substitute g(x) into f(x), we do not get x back, and if we substitute f(x) into g(x), we do not get x back.

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Answer:

104 in²

Step-by-step explanation:

If OR = 8 then 8 x 2 = 16

PM= (42-16)/2=13

Therefore area = 8 x 13 = 104 in²

To check the perimeter is right:

2(8+13) = 42

To solve this problem, we need to use the Poisson distribution since it deals with the probability of a certain number of events occurring in a fixed interval of time or space.

(a) To find the probability of receiving exactly 4 bad checks on a given day, we can use the Poisson formula:

P(x = k) = (e^(-λ) * λ^k) / k!

where λ is the average rate of occurrence (6 bad checks per day) and k is the number of events we want (4 bad checks).

Plugging in the values, we have:

P(x = 4) = (e^(-6) * 6^4) / 4!

Calculating this expression will give us the probability of receiving exactly 4 bad checks on a given day.

(b) To find the probability of receiving at most 10 bad checks over any 3 consecutive days, we need to calculate the probabilities for 0, 1, 2, 3, 4, ..., 10 bad checks and sum them up. Since each day is independent, we can use the Poisson distribution for each day and multiply the probabilities together. Then, sum up the probabilities for the desired range. P(at most 10 bad checks in 3 days) = P(x = 0) + P(x = 1) + P(x = 2) + ... + P(x = 10) where P(x = k) is the probability of receiving exactly k bad checks on a given day. Using the Poisson formula, we can calculate each term and sum them to find the final probability.

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The probability that a different catalyst is used on each run is 1, meaning it is certain to happen.

To calculate the probability that a different catalyst is used on each run, we can use the formula for combinations, which is given by n! / (n-k)!k!, where n is the number of items to choose from, k is the number of items being selected, and ! means factorial, which is the product of all positive integers up to that number.

In this case, we have 5 experimental runs and 5 different catalysts, so n = 5 and k = 5. The probability that a different catalyst is used on each run is given by:

5! / (5-5)!5! = 5! / 0!5!

= 120/120

= 1

--The question is incomplete, answering to the question below--

"An experimenter is studying the effects of temperature, pres-sure, and type of catalyst on yield from a certain chemical reaction. Three different temperatures, four different pressures, and five different catalysts are under consideration.

Suppose that five different experimental runs are to be made on the first day of experimentation. If the five are randomly selected from among all the possibilities, so that any group of five has the same probability of selection, what is the probability that a different catalyst is used on each run?"

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The distance between two points is the number of units between them.

The distance between Q and R is 3.61 units

It is impossible to determine your friend's error, because the steps are not given in the question. So, I will calculate the distance between Q and R, instead.

The distance (d) between two points is:

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

So, the distance QR is:

\(QR = \sqrt{(1 - 3)^2 + (5 - 8)^2}\)

\(QR = \sqrt{(- 2)^2 + (- 3)^2}\)

Evaluate exponents

\(QR = \sqrt{4 +9}\)

\(QR = \sqrt{13}\)

Take square root of 13

\(QR = 3.61\)

Hence, the distance between Q and R is 3.61 units

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Option B: 4x²-x+3

(4x³ + 11x² + 0x + 9) + (x+3) [here, we will include 0x to do long division]

Divide 4x³ by x to get first term of the quotient, 4x³

Then, take 4x² and multiply it with 3 and you will get 4x² + 12

Subtract 4x² + 12 from 4x³ + 11x².

Then, you will get the remainder as -x² + 0x

Now you have to repeat the same same process, divide -x² by x to get second term of quotient, -x

Then take -x and multiply with 3 and you will get -x²- 3x

You will get the remainder as 3x+ 9

Divide 3x by x to get the third term of quotient, 3

Then, take 3 and multiply with 3 and you will get 3x + 9

Subtract and you will get the remainder as 0.

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Answer:

Step-by-step explanation:

10 + 3(7)

10 + 21

= 31

Answer:

31

Step-by-step explanation:

You can use BODMAS rule here to Simplify an expression and do not have to worry about which to do first multiply or addition.

2(5) + 3(4+3)

= 10 + 3(7)

= 10 + 21

=31

Step-by-step explanation:

Parallel lines cut by a transversal coloring activity is an activity that helps students understand the pattern of angles when parallel lines are cut by a transversal. The activity involves coloring the angles formed by the parallel lines and the transversal in different colors. This helps students identify the different types of angles formed and their relationships with each other.

The minimum hot-holding temperature for fried shrimp is d. 135 ° F 57 ° C. It is important to maintain this temperature to ensure that the food remains safe for consumption and to prevent the growth of harmful bacteria.

The minimum hot-holding temperature for fried shrimp is 135 °F (57 °C). When food is hot-held, it means it is kept at a specific temperature after cooking to maintain its quality and safety until it is served or consumed. This temperature is important because it helps prevent the growth of harmful bacteria, such as Salmonella and E. coli, that can cause food borne illnesses.

At a hot-holding temperature of 135 °F (57 °C) or higher, the heat inhibits the growth of bacteria, ensuring that the fried shrimp remains safe for consumption. This temperature range is considered a critical control point in food safety practices.

It's worth noting that the temperature of 135 °F (57 °C) is the minimum requirement for hot-holding fried shrimp. However, in practice, it's generally recommended to hold the shrimp at a slightly higher temperature to account for any temperature loss that may occur over time.

Some food establishments may set their hot-holding equipment to maintain a temperature of 140 °F (60 °C) or higher to ensure the safety and quality of the food.

By adhering to proper temperature control guidelines, including maintaining the minimum hot-holding temperature of 135 °F (57 °C), you can help prevent the risk of food borne illnesses and ensure that the fried shrimp remains safe and enjoyable to consume.

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All of the given answer choices are correct.

Hypothesis testing is a statistical tool used in research projects based on quantitative methods. It is used to evaluate two competing hypotheses about a population parameter, known as the null hypothesis and the alternative hypothesis. The null hypothesis is the hypothesis that there is no significant difference between two groups or variables, while the alternative hypothesis is the hypothesis that there is a significant difference.

To perform hypothesis testing, a sample is taken from the population of interest, and data is collected on the sample. The data is then analyzed using statistical tests, which provide evidence for or against the null hypothesis. The results of the tests are then used to make a decision about whether to accept or reject the null hypothesis.

Hypothesis testing relies on sampling, which involves selecting a representative sample from the population of interest. The significance level is also an important aspect of hypothesis testing, as it determines the likelihood of making a type I error, which is the rejection of the null hypothesis when it is actually true. Type II error, on the other hand, is the failure to reject the null hypothesis when it is actually false.

The ultimate goal of hypothesis testing is to make a decision about whether to accept or reject the alternative hypothesis, based on the evidence provided by the sample data. This decision-making process involves weighing the strength of the evidence against the null hypothesis, and deciding whether it is strong enough to reject the null hypothesis and accept the alternative hypothesis.

Therefore, all of the given answer choices are correct.

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The smallest number is 6034579.

Answer:

6034579 hope this helps!!

explanation:

We should keep 6 where it is, then arrange the rest of the numbers from smallest to the greatest.

The given equation y = 3x + 5 has infinitely many solutions.

What is a linear equation in two variables?

If an equation is written in the form ax + by + c=0, where a, b, and c are real numbers and the coefficients of x and y, i.e., a and b, respectively, are not equal to zero, then it is said to be a linear equation in two variables.

Given: Linear equation y = 3x + 5

We know that,

The linear equation in two variables in the form of ax + by + c = 0

For x = 0, y = 0 + 5 = 5. Therefore, (0, 5) is one solution.

For x = 1, y = 3 × 1 + 5 = 8. Therefore, (1, 8) is another solution.

For y = 0, 3x + 5 = 0, x = -5/3. Therefore, (-5/3, 0) is another solution.

Clearly, for different values of x, we get various values for y. Thus, any value substituted for x in the given equation will constitute another solution for the given equation. So, there is no end to the number of different solutions obtained by substituting real values for x in the given linear equation. Therefore, a linear equation in two variables has infinitely many solutions.

Hence, the given equation y = 3x + 5 has infinitely many solutions.

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