Simplify:
√(14+2√13))

I need this answer quickly if possible. Please, if it helps I will give brainliest.

Answers

Answer 1

Answer:

√13+1 or 4.605551275

Step-by-step explanation:

let me know if it right


Related Questions

Omar bought 3 pizzas for a party. He cuts each pizza into quarters and plans to serve each guest 1 quarter of a pizza. How many guests can he serve with all his pizza?

Answers

Answer:

Stop spamming

Step-by-step explanation: The number of brain cells you have is the number of gusets he can serve. 12.

a professor gives a special tutoring session to students who scored less than 60 percent on the first test. on the second test, their mean score rises to 70 percent. what conclusion can we draw, if any, and why?

Answers

We can conclude that the special tutoring session seems to have had a positive impact on the students' performance, as their mean score increased from below 60% to 70%.

Determine the conclusion

We can conclude that the special tutoring session has been effective since the students' mean score increased from 60 percent to 70 percent on the second test.

The students who scored less than 60 percent on the first test were given a special tutoring session, which resulted in their mean score increasing to 70 percent on the second test.

Therefore, we can conclude that the special tutoring session has been effective in improving the students' performance on the second test.

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Which is the coldest temperature? Explain how you determined this using the number

Answers

The coldest temperature is -273.15°C

A gallon of gasoline costs $2.96. Your car has a 25-gallon gas tank and can travel 28.8 miles on each gallon of gasoline.
a. Find the cost of filling your gas tank if it is already 38 38 full.
b. You take a trip of length 705 miles. How much money do you spend on gasoline?

Answers

The cost of filling your gas tank if it is already 38 38 full. $48.88 required to fill the gas tank if it is already 38% full.

Money do you spend on gasoline is $72.46 is spends on that trip.

Given that

A gallon of gasoline costs $2.96.Gas tank capacity of the given car = 25 gallonThat car can travelled 28.8 miles on each gallon of gasoline.

To find

The cost of filling your gas tank if it is already 38 % full.How much money spend on gasoline on the trip of 705 miles.

So according the question

We have

1 gallon of gasoline =  $2.96.Gas tank capacity = 25 gallon.28.8 miles travelled on each gallon of gasoline.

Now, for finding

a.) The cost of filling your gas tank if it is already 38 % full.

      38 % of 25 gallon = 9.5 gallon

      the unfilled part of the tank  = 25-9.5 = 15.5 gallon

      So the tank can filled 15.5 gallon of gasoline more now.

      The cost of 15.5 gallon of gasoline

                                   = 15.5 × cost of 1 gallon of gasoline

                                   = 15.5 × 2.96

                                   = $45.88

$48.88 required to fill the gas tank if it is already 38% full.

b.) How much money spend on gasoline on the trip of 705 miles.

    ∵ Car can travelled in 1 gallon of gasoline = 28.8 miles.

    ∴ Gasoline required to travel 705 miles = \(\frac{705}{28.8}\)

                                                                        = 24.48 gallon.

      The cost of 24.48 gallon of gasoline

                                   = 24.48 × cost of 1 gallon of gasoline

                                   = 24.48 × 2.96

                                   = $72.46    

$72.46 is spends on that trip.

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HELP PLEASE I NEED TO TURN THIS IN BEFORE WEDNESDAY

HELP PLEASE I NEED TO TURN THIS IN BEFORE WEDNESDAY

Answers

Answer:

451

Step-by-step explanation:

Lucien can buy 1 lb of Colombian coffee beans for $4.25 you can buy one pound of French roast coffee beans for $3.75 if he buys one pound mixture of the two kinds of beans for $4 how much of each kind of coffee bean does he buy​

Answers

Answer:

Colombian coffee bought = 0.5 lbs

French roast coffee beans bought = 0.5 lbs

Step-by-step explanation:

Let Colombian coffee bought = \(x\) lbs

Total weight of mixture bought = 1 lbs

Therefore, French roast coffee beans bought = (1 - \(x\)) lbs

Price of 1 lb Colombian coffee = $4.25

Price of \(x\) lbs of Colombian coffee = $\(4.25x\)

Price of 1 lb French roast coffee beans = $3.75

Price of (1 - \(x\)) lbs French roast coffee beans = $3.75(1 - \(x\))

It is given that total money spent is $4.

As per given statement:

\(4.25x+3.75(1-x)=4\\\Rightarrow 0.50x=0.25\\\Rightarrow x=\bold{0.5\ lbs}\)

Colombian coffee bought = 0.5 lbs

French roast coffee beans bought = 0.5 lbs

a pollster is interested in knowing which presidential candidate voters prefer in the upcoming election. in an effort to obtain this information, 1000 voters are randomly selected and asked their preference. the sample in this situation is

Answers

To help account for variability, the pollster used a simple random sample.

Sampling is the selection of a subset (a statistical sample) of people from within a statistical population in statistics, assurance, and survey procedures. the population's characteristics that were sampled. Obtaining samples that are typical of the population being researched is the objective of statisticians.

In situations where it is not practical to evaluate the complete population, sampling offers insights and is more cost-effective and time-efficient than doing so.

Each observation gives a number for one or more characteristics of certain things or people, including their size, location, color, or weight.

In survey sampling, especially in stratified sampling, ratings can be added to the results to take into consideration the sample design. The practice is guided by conclusions from statistical theory and probability theory.

Since 1000 people are randomly selected , hence we can say that the preference is simple random sample.

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HELPPPP ASAP!
Part A
Sarah graphs the equations and to solve the equation . Her graph is shown below.
Name the solution(s) and Describe where you found your solution(s) on the graph using a complete sentence.

HELPPPP ASAP!Part ASarah graphs the equations and to solve the equation . Her graph is shown below.Name

Answers

The sοlutiοn(s) οn the graph are x = -4, 2.

In mathematics, a graph is a diagram οr visual representatiοn οf facts οr values that is οrdered. The pοints οn a graph are typically used tο depict the relatiοnships between twο οr mοre things. Graph theοry is the study οf graphs, which are mathematical structures that are used tο depict pairwise interactiοns between οbjects. A graph in this sense is made up οf vertices and edges.

A graph is an οrdered graphic οr visual representatiοn οf facts οr values in mathematics. The relatiοnships between twο οr mοre οbjects are οften shοwn by the pοints οn a graph.

The study οf graphs, which are mathematical representatiοns οf pairwise interactiοns between things, is knοwn as graph theοry. Vertices and edges make up a graph in this cοntext.

From the given graph we conclude following -

\(\frac{1}{4}x^2 = -\frac{1}{2}x + 2\\x^2 + 2x - 8 = 0\\x^2 + 4x - 2x - 8 = 0\\x(x + 4) - 2(x + 4) = 0\\(x + 4)(x - 2) = 0\\x = 2, -4\)

On the graph, the solutiοns are the x-coοrdinates of the points of intersection

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i need the answerrrrr

i need the answerrrrr

Answers

Answer:

the distance between the points is 9.84885780 and so on so if you round to the nearest tenth it would be 9.8 :)

Step-by-step explanation:

Subtract. Write your answer in simplest form. 7 1/4- 4 5/12

A. 2 5/6

B. 3, 1/6

C. 3, 1/2

D. 2, 2/3

Answers

To subtract 4 5/12 from 7 1/4, we need a common denominator of 48. The simplified result is 2 5/6.

What are equations?

An equation is a mathematical statement that states that two expressions are equal. It consists of two sides, left and right, separated by an equal sign (=). Equations can include variables, which are symbols that represent unknown values or values that can vary. Solving an equation involves finding the value of the variable that makes the equation true.

According to the given information:

To subtract 4 5/12 from 7 1/4, we need to have a common denominator.

Multiplying the denominators 4 and 12, we get 48 as the least common denominator.

Converting the fractions to have a denominator of 48:

7 1/4 = 7 * 48/48 + 12/48 = 336/48 + 12/48 = 348/48

4 5/12 = 4 * 48/48 + 20/48 = 192/48 + 20/48 = 212/48

Subtracting the second fraction from the first:

7 1/4 - 4 5/12 = 348/48 - 212/48 = 136/48

Simplifying the result by dividing both numerator and denominator by their greatest common factor, which is 8:

136/48 = 17/6

the answer is (A) 2 5/6.

Therefore, To subtract 4 5/12 from 7 1/4, we need a common denominator of 48. The simplified result is 2 5/6.

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To subtract \(4\frac{5}{12}\) from \(7\frac{1}{4}\), we need a common denominator of 48. The simplified result is \(2\frac{5}{6}\)

What are equations?

An equation is a mathematical statement that states that two expressions are equal. It consists of two sides, left and right, separated by an equal sign (=). Equations can include variables, which are symbols that represent unknown values or values that can vary. Solving an equation involves finding the value of the variable that makes the equation true.

According to the given information:

To subtract  from 7 1/4, we need to have a common denominator.

Multiplying the denominators 4 and 12, we get 48 as the least common denominator.

Converting the fractions to have a denominator of 48:

7 1/4 = 7 * 48/48 + 12/48 = 336/48 + 12/48 = 348/48

4 5/12 = 4 * 48/48 + 20/48 = 192/48 + 20/48 = 212/48

Subtracting the second fraction from the first:

7 1/4 - 4 5/12 = 348/48 - 212/48 = 136/48

Simplifying the result by dividing both numerator and denominator by their greatest common factor, which is 8:

136/48 = 17/6

the answer is (A) 2 5/6.

Therefore, To subtract 4 5/12 from 7 1/4, we need a common denominator of 48. The simplified result is 2 5/6.

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four less than three times a number is 20

Answers

Answer:

3x-4

Step-by-step explanation:

Have a good day!!

Answer:

3x-4

Step-by-step explanation:

Which ordered pairs represent points on the graph of this equation? Select all that apply.
4x - 3y = 0
(3,4)
(-6, -8)
(0,0)
(6, 8)
(-3,6)
(-3,-4)

Answers

Answer:

(3,4)(-6, -8)(0,0)(6, 8)(-3,-4)

Step-by-step explanation:

If you solve the equation for y, you get ...

  4x = 3y

  y = 4/3x

Then the ordered pairs of interest are the ones where y = 4/3x. Another way to say this is y/x = 4/3. (Can't use this with x=0.)

  (3, 4)

  (-6, -8)

  (0, 0)

  (6, 8)

  (-3, -4)

In each of the following situations, a significance test for a population mean µ is called for. State the null hypothesisH sub 0and the alternative hypothesisH sub ain each case. Then, describe in context what constitutes a Type I error and what constitutes a Type II error.
a) Experiments on learning in animals sometimes measure how long it takes a mouse to find its way through a maze. The mean time is 18 seconds for one particular maze. A researcher thinks that a loud noise will cause the mice to complete the maze faster. She measures how long each of 10 mice takes with a noise as stimulus.
b) The examinations in a large history class are scaled after grading so that the mean score is 50. A self-confident teaching assistant thinks that his students have a higher mean score than the class as a whole. His students this semester can be considered a sample from the population of all students he might teach, so he compares their mean score with 50.
c) The Census Bureau reports that households spend an average of 31% of their total spending on housing. A homebuilders association in Cleveland wonders if the national finding applies in their area. They interview a sample of 40 households in the Cleveland metropolitan area to learn what percent of their

Answers

a) The null hypothesis H sub 0 is that the mean time for the mice to complete the maze with the loud noise is equal to 18 seconds, or H sub 0: µ = 18. The alternative hypothesis H sub a is that the mean time for the mice to complete the maze with the loud noise is less than 18 seconds, or H sub a: µ < 18. A Type I error would occur if the researcher rejects the null hypothesis and concludes that the loud noise causes the mice to complete the maze faster when in fact it does not. A Type II error would occur if the researcher fails to reject the null hypothesis and concludes that the loud noise does not cause the mice to complete the maze faster when in fact it does.

b) The null hypothesis H sub 0 is that the mean score for the teaching assistant's students is equal to 50, or H sub 0: µ = 50. The alternative hypothesis H sub a is that the mean score for the teaching assistant's students is greater than 50, or H sub a: µ > 50. A Type I error would occur if the teaching assistant rejects the null hypothesis and concludes that his students have a higher mean score than the class as a whole when in fact they do not. A Type II error would occur if the teaching assistant fails to reject the null hypothesis and concludes that his students do not have a higher mean score than the class as a whole when in fact they do.

c) The null hypothesis H sub 0 is that the mean percent of total spending on housing for households in the Cleveland metropolitan area is equal to 31%, or H sub 0: µ = 31%. The alternative hypothesis H sub a is that the mean percent of total spending on housing for households in the Cleveland metropolitan area is not equal to 31%, or H sub a: µ ≠ 31%. A Type I error would occur if the homebuilders association rejects the null hypothesis and concludes that the national finding does not apply in their area when in fact it does. A Type II error would occur if the homebuilders association fails to reject the null hypothesis and concludes that the national finding does apply in their area when in fact it does not.

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After years of smoking, the most powerful influence for their continuing to smoke is: Please help for Health and make sure you're right

A. To ease anxiety or stress.


B. To satisfy their desire for the taste of a cigarette.



C. To give their hands something to do.

D. Their addiction to nicotine.

Answers

Answer:

D. Their addiction to nicotine.

Explanation:

Nicotine is a type of drug which makes it tough for smokers to stop smoking and this is what makes them attracted most. The more nicotine you inhale, the better you feel - giving pleasure. Nicotine is harmful for the body and increases possibility of heart attack.

Shiloh is starting a new workout regimen. Her trainer recommends that she increase the number squats she does by 35% every week. If in the second week Shiloh is doing 108 squats, how many squats did she do during her first week?

Answers

Shiloh has done 80 squats during her first week.

Shiloh was recommended by the trainer to increase the number of squads she does by 35% every week, so she does 108 squats in the second week. We have to find how many squats she did during her first week.

This is the percentage increase in value that something obtains that is greater than 100.

Let the number of squats in the first week be x.

After increasing by 35% she does 108 squats.

x+35/100*x=108

x+0.35*x=108

1.35x=108

x=108/1.35

x=80 squats.

Therefore, the number of squats she did in first week is 80 squats before increasing the squats by 35 percentage.

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You measure the length of the same side of a block five times and each measurement has an uncertainty of Δ
b = 0.1 mm. What is the uncertainty in the best estimate for b?

Answers

The uncertainty in the best estimate for the length of the side of the block is approximately 0.0447 mm.

To determine the uncertainty in the best estimate for the length of the block side, we can consider the range of values obtained from the measurements. Since the uncertainty represents the possible deviation from the true value, the range of measurements can be used to estimate the uncertainty in the best estimate

To find the standard deviation represents the average amount of variation or spread among the measurements , we use the formula σ = Δb / √n, where σ is the standard deviation, Δb is the uncertainty in each measurement, and n is the number of measurements.

In this case, Δb = 0.1 mm and n = 5. Plugging these values into the formula, we get σ = 0.1 / √5 ≈ 0.0447 mm.

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How do you do this? I am really confused

How do you do this? I am really confused

Answers

Answer:

Step-by-step explanation:

ok, so this is an infinitly repeating function, so you can write it as:

sqrt(12-x)

Although, x is also equal to sqrt(12-x), so

x = sqrt(12-x), and

x^2 = 12-x

x^2-12+x = 0

now just apply the quadratic formula and you're good

hope i helped :D

Given that z is a standard nomal random variable, find z for each situation. (Round your answers to two decimal places.) (a) The area to the left of z is 0.9750. (b) The area between 0 and z is 0.4750. (c) The area to the left of 2 is 0.7309. (d) The area to the right of 2160,1292 , (e) The area to the left of z is 0,7794 . (f) The area to the right of z is 0.2206. x

Answers

A standard normal random variable, z, is a variable that has a normal distribution with mean 0 and standard deviation 1. The z-scores for each situation are as follows: (a) z = 2.33, (b) z = 0.67, (c) z = 0.58, (d) z = -0.84, (e) z = 0.78 AND (f) z = -1.28

To find the corresponding z-values for the given situations, we can use a standard normal distribution table or a calculator with a built-in function to calculate the cumulative probability.

Here are the z-values for each situation:

(a) The area to the left of z is 0.9750:
The z-value corresponding to an area of 0.9750 to the left is approximately 1.96.


(b) The area between 0 and z is 0.4750:
To find the z-value that corresponds to an area of 0.4750 between 0 and z, we need to find the z-value that separates the lower 0.4750 and upper 0.5250 areas. This z-value is approximately -0.06.


(c) The area to the left of 2 is 0.7309:
The z-value corresponding to an area of 0.7309 to the left is approximately 0.61.



(d) The area to the right of 2160,1292:


To find the z-value corresponding to the area to the right of 2160,1292, we need to subtract the given area from 1 to get the left-tail area. The z-value can then be found using the standard normal distribution table or calculator.

However, the value 2160,1292 seems to be an invalid input as it contains a comma. Please provide the correct value in decimal form for a more accurate answer.

(e) The area to the left of z is 0,7794:


The z-value corresponding to an area of 0.7794 to the left is approximately 0.76.

(f) The area to the right of z is 0.2206:


To find the z-value corresponding to the area to the right of 0.2206, we need to subtract this area from 1 to get the left-tail area. The z-value can then be found using the standard normal distribution table or calculator. The z-value is approximately -0.76.


The z-values for the given situations are as follows:
(a) z ≈ 1.96
(b) z ≈ -0.06
(c) z ≈ 0.61


(d) Please provide the correct value for a valid calculation.
(e) z ≈ 0.76
(f) z ≈ -0.76

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Under his cell phone plan, Josiah pays a flat cost of $37 per month and $3 per gigabyte. He wants to keep his bill at $43.60 per month. Write and solve an equation which can be used to determine xx, the number of gigabytes of data Josiah can use while staying within his budget.

Answers

The number of gigabytes of data Josiah can use while staying within his budget is 2.2 gigabytes.

Flat costs and Variable cost

The total amount of money that can be spent on the cell phone plan is the sum of the flat cost and the variable cost.

Total cost = flat cost + variable cost

Determination of the equation required to solve for the gigabytes needed

The flat cost is the cost that remains constant each month. The variable cost is the cost that increases by gigabyte used.

$43.60 = $37 + $3x

The gigabytes needed

In order to determine the value of x, combine similar terms together

$43.60 - $37 = $3x

6.6 = $3x

Divide both sides by 3

6.6/3 = x

x = 2.2 gigabytes

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Hurry pls!

A miniature connector is shaped like this hexagonal prism. The prism has a base area of 8.15 cm².

What is the volume of the connector?

Enter your answer as a decimal in the box.
cm³


Hurry pls! A miniature connector is shaped like this hexagonal prism. The prism has a base area of 8.15

Answers

The volume of the connector given the base area and the height is 84.70cm³.

What is the volume of the connector?

A hexagonal prism is a three dimensional object that is made up of a hexagonal base. It has 8 faces, 18 edges, and 12 vertices.

Volume = \(\frac{3\sqrt{3} }{2} a^{2}h\)

Where:

a²= base area h = height

2.598076 x 8.15 x 4 = 84.70cm³

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Answer:

32.6 cm³ for K12

1. If 2x = 3y + 4, what is 9x/27y/?

Answers

Answer:

243yx+2-24x

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

      18x

I need help with these

I need help with these

Answers

The 15 and 9 units side lengths of the parallelogram ABCD, and the 36° measure of the acute interior angle, A indicates the values of the ratios are;

1. AB:BC = 5:3

2. AB:CD = 1:1

3. m∠A : m∠C= 1 : 4

4. m∠B:m∠C = 4:1

5. AD: Perimeter ABCD = 3:16

What is a ratio?

A ratio is a representation of the number of times one quantity is contained in another quantity.

The shape of the quadrilateral ABCD in the question = A parallelogram

Length of AB = 15

Length of BC = 9

Measure of angle m∠A = 36°

Therefore;

1. AB:BC = 15:9 = 5:3

2. AB ≅ CD (Opposite sides of a parallelogram are congruent)

AB = CD (Definition of congruency)

AB = 15, therefore, CD = 15 transitive property

AB:CD = 15:15 = 1:1

3. ∠A ≅ ∠C (Opposite interior angles of a parallelogram are congruent)

Therefore; m∠A = m∠C = 36°

∠A and ∠D are supplementary angles (Same side interior angles formed between parallel lines)

Therefore; ∠A + ∠D = 180°

36° + ∠D = 180°

∠D = 180° - 36° = 144°

∠D = 144°

m∠A : m∠C = 36°:144° =1:4

m∠A : m∠C = 1:4

4. ∠B = ∠D = 144° (properties of a parallelogram)

m∠B : m∠C = 144° : 36° = 4:1

5. AD ≅ BC (opposite sides of a parallelogram)

AD = BC = 9 (definition of congruency)

The perimeter of the parallelogram ABCD = AB + BC + CD + DA

Therefore;

Perimeter of parallelogram ABCD = 15 + 9 + 15 + 9 = 48

AD:Perimeter of the ABCD  = 9 : 48  = 3 : 16

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A company's flexible budget for 12,500 units of production showed sales, $50,000; variable costs, $20,000; and fixed costs, $15,000. The operating income expected if the company produces and sells 15,000 units is:

Answers

Answer: $21000

Step-by-step explanation:

First, we calculate the contribution margin which will be:

=Sales - Variable cost

= $50,000 - $20,000

= $30,000

Therefore, the contribution margin per unit will then be:

= $30,000 / 12500

= $2.4 per unit

The operating income will be the difference between the total contribution margin and the fixed cost. This will be:

The total Contribution margin will be:

= $2.4 × 15000

= $36000

Fixed costs = $15000

Operating income = $36000 - $15000

= $21,000

In a 2-sample z-test for two proportions, you find the following: X1 = 24 n1 = 200 X2 = 17 my = 150 You decide
to run a test for which the alternative hypothesis is Hj: p1 > p2- Find the appropriate test statistic for the
test. Enter the test statistic - round to 4 decimal places. Z =

Answers

The appropriate test statistic for this test is approximately 0.2103 (rounded to 4 decimal places).

To find the appropriate test statistic for a 2-sample z-test for two proportions, we need to calculate the standard error and then use it to compute the z-score. The formula for the standard error is:

SE = sqrt[(p1 * (1 - p1) / n1) + (p2 * (1 - p2) / n2)]

Where p1 and p2 are the sample proportions, and n1 and n2 are the sample sizes.

In this case, we have the following values:

X1 = 24 (number of successes in sample 1)

n1 = 200 (sample size 1)

X2 = 17 (number of successes in sample 2)

n2 = 150 (sample size 2)

To calculate the sample proportions, we divide the number of successes by the respective sample sizes:

p1 = X1 / n1 = 24 / 200 = 0.12

p2 = X2 / n2 = 17 / 150 = 0.1133

Now, we can plug these values into the formula to calculate the standard error:

SE = sqrt[(0.12 * (1 - 0.12) / 200) + (0.1133 * (1 - 0.1133) / 150)]

SE ≈ 0.0319

Finally, the test statistic (z-score) is calculated by subtracting the two sample proportions and dividing by the standard error:

Z = (p1 - p2) / SE

Z = (0.12 - 0.1133) / 0.0319

Z ≈ 0.2103

Therefore, the appropriate test statistic for this test is approximately 0.2103 (rounded to 4 decimal places).

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Which is greater, 250 m or 0.25 km?

Answers

250 m is equal to 0.25 km, since there are 1000 meters in 1 kilometer. Therefore, 0.25 km is greater than 250 m.

11) Macho Mel can lift 290 kilograms with ease. How much is this in pounds?

Answers

Answer:

639.341 lbs

Step-by-step explanation:

1 kilogram is approximately 2.2lbs

1kg is 2.2 pounds. Answer is 290 multiplied by 2.2 = 638

Select the correct answer,
Which value of p makes this equation true?
1+1
o p=1
p=0
p=1
The equation has no solution
Submit
Pe
6

Select the correct answer,Which value of p makes this equation true?1+1o p=1p=0p=1The equation has no

Answers

Answer:

p=‒1

Step-by-step explanation:

the answer is p=‒1

because ‒1+1/3=‒1+1/4

0/3 =0/4

0=0

i hope this helps you

Answer:

the answer is p=‒1

because ‒1+1/3=‒1+1/4

0/3 =0/4

0=0

Step-by-step explanation:

2
A B
-10-9-8
5
Point A
Point B
Point C
Point D
6
ch point on the number line represents the product (-4)(-2)(-1)?
8
012
9
10
C D
5 6 7 8 9 10
59:3

Answers

We can actually deduce here that the point on the number line that represents the product (-4)(-2)(-1): -8.

What is number line?

Number line is actually known to be a horizontal or vertical line that is graduated with both negative and positive numbers. A number line is known to have both negative and positive numbers.

We see here that if we multiply out the brackets, (-4)(-2)(-1) = (8)(-1) = -8.

Thus, the answer is -8.

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2A B-10-9-85Point APoint BPoint CPoint D6ch point on the number line represents the product (-4)(-2)(-1)?8012910C

Find the slope (3, 4) and (-5, 0)

Answers

Answer:

1/2

Step-by-step explanation:

(3,4) (-5,0) -> 0.5 = 1/2

The distribution of the sample​ mean, ​, will be normally distributed if the sample is obtained from a p+opulation that is normally​ distributed, regardless of the sample size.

Answers

The statement 'The distribution of the sample​ mean, x overbar, will be normally distributed if the sample is obtained from a population that is normally​ distributed, regardless of the sample size.'  is True

In this question we have been given a statement 'The distribution of the sample​ mean, x overbar, will be normally distributed if the sample is obtained from a population that is normally​ distributed, regardless of the sample size.'

We need to state whether the statement is True or False.

We know that the sampling distribution of the sample mean is the probability distribution of all possible values of the random variable x that are computed from a sample of size n.

Also if a random variable X is normally​ distributed, the distribution of the sample​ mean, x overbarx​, is normally distributed.

Therefore, given statement is True.

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