A population has a mean of 200 and a standard deviation of 50. A simple random sample of size 100 will be taken and the sample x bar will be used to estimate the population mean. What is the expected value of x bar What is the standard deviation of x bar Show the sampling distribution of x bar. What does the sampling distribution of x bar show?

Answer:

A: 75°

B: 60°

C: 45°

Step-by-step explanation:

The sum of ratio units is 5+4+3 = 12. Comparing that to the sum of angles in a triangle, 180°, you see that each ratio unit must stand for 180/12 = 15 degrees.

Multiply the ratio of angles by 15° and you get the actual angles:

 A : B : C = 75° : 60° : 45°

Angle A is 75°, Angle B is 60°, Angle C is 45°.

Step-by-step explanation:

Answer:

Step-by-step explanation:

f(x)=-3x²+6x-7

=-3(x²-2x+1-1)-7

=-3(x²-2x+1)+3-7

=-3(x-1)²-4

Greatest value=-4 and is obtained at x=1

Step-by-step explanation:

the AB or hypotenuse seems to be 47.5

Answer:

y = -4x + 3

Step-by-step explanation:

Parallel likes have the same slope.  The slope in the graph is -4

The length of the straw is √101 inches

The rectangular box has:

length (l) = 6 inches

breadth (b) = 4 inches

height (h) = 7 inches

The straw is said to fit into the box diagonally from the bottom.

So, the length of the straw is calculated as:

S= √(l² + b² + h²)

S = √(6² + 4² + 7²)

S = √101 inches

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sum of the numbers = - 3

Product of the numbers = 8

sum of squares of the numbers

Let the three terms be a - d , a , a + d.

sum of the numbers = - 3

→ a - d + a + a + d = - 3

→ 3a = - 3

→ a = - 3/3

→ a = - 1

Also,

Product of the numbers = 8

→ (a - d) * (a) * (a + d) = 8

Putting the value of a and using (a + b) * (a - b) = a² - b² we get,

→ [ (- 1)² - d² ] = 8/ - 1

→ 1 - d² = - 8

→ 1 + 8 = d²

→ 9 = d²

→ d = 3

Hence,

Now,

Finding Sum of their squares :

→ (a - d)² + a² + (a + d)²

→ ( - 4)² + ( - 1)² + (2)²

→ 16 + 1 + 4

→ 21

Hence, the sum of the squares of the three terms is 21.

I hope it will help you.

Regards.

Answer:

x= -12 & y=24

Step-by-step explanation:

given,

x+y=12.......... equation (i)

2x=3y........eq(ii)

let,

x=12-y.......eq(iii)

from eq(ii)

2(12-y)=3y

y=24

putting the value of y in eq(iii)

x=12-24

x= -12

It would take 5040 cubic inches of water to completely fill the aquarium.

We know that the formula for the volume of cuboid :

V = length × width × height

Let us assume that l represents the length of the aquarium, w represent the width and h represents the height.

Here, l = 20 inches

w = 14 inches

and h = 18 inches

Using the formula for the volume of cuboid, the volume of aquarium would be,

V = l × w × h

V = 20 × 14 × 18

V = 5040 cu.in.

Therefore, it would take 5040 cu.in. of water.

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The 30th term of the arithmetic sequence is -162.

The sequence is an arithmetic sequence. Therefore, the 30th term of the arithmetic sequence can be found as follows:

12, 6, 0, -6, ...

aₙ = a + (n - 1)d

where

Therefore,

a = 12

d = 6 - 12 = -6

n = 30

Therefore,

a₃₀ = 12 + (30 - 1)-6

a₃₀ = 12 + (29)-6

a₃₀ = 12  - 174

a₃₀ = -162

Therefore,

30th term = -162

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Answer:

Step-by-step explanation:

I think not 100% sure

Hope this helps :)

Pls mark brainliest :3

And have an amazing day <3

Answer: -9

Step-by-step explanation:

Given

The sum of a number and two is equal to negative 7

Suppose x is that number

\(\therefore x+2=-7\\\text{add -2 both sides}\\\Rightarrow x+2-2=-7-2\\\Rightarrow x=-9\)

So, the number is \(-9\).

Answer:

the answer is 3 opinion

Reducing the variation of a process will increase the width of a given confidence interval relative to that process.

Option C is correct .

In statistics, the probability that a population parameter will fall between a set of values for a predetermined percentage of the time is referred to as a confidence interval. By employing the dimensions of values used in the computation of the intervals, it is simple to establish the link between components of two confidence intervals. The width is a fundamental component in these range estimates, which are affected by sample size, etc.

Hence, reducing the variation of a process will increase the width of a given confidence interval relative to that process is false.

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The correct characteristics of bar charts are:Plotted rectangles should be the same height.Plotted rectangles should be the same width.There should be gaps between bars.

Plotted rectangles should be the same height: In a bar chart, each rectangular bar represents a specific category or group, and the height of the bar corresponds to the value or quantity associated with that category. To accurately represent the data, all the bars in a bar chart should have the same height, allowing for easy visual comparison between the different categories.Plotted rectangles should be the same width: The width of the rectangular bars in a bar chart is not significant and can vary.

The emphasis is placed on the height of the bars to represent the data accurately. However, it is common practice to keep the bars in a bar chart equally spaced and of uniform width to maintain consistency and visual appeal.Bar charts are used for qualitative data: This statement is incorrect. Bar charts are primarily used to represent categorical or qualitative data.

The categories or groups are typically displayed along the horizontal axis, while the vertical axis represents the values or frequencies associated with each category.

There should be gaps between bars: In a bar chart, it is standard to have gaps between adjacent bars to visually separate them and avoid the appearance of a continuous bar. These gaps help distinguish individual categories and make it easier for viewers to interpret the chart accurately.So, the correct characteristics of bar charts are that the plotted rectangles should be the same height, the plotted rectangles should be the same width, and there should be gaps between bars.

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The main characteristics of bar charts are that they should have bars of equal width, use gaps to distinguish different categories, and they can represent both qualitative and quantitative data. The bars could represent various entities like countries, or years, and the size of the bar depicts a numerical or percentage information.

The characteristics of bar charts include the following: the plotted rectangles (bars) should be of the same width to ensure uniformity, and they represent quantities, sizes, rates or other numerical values. Bar charts are not only useful for displaying qualitative data, but they can also represent quantitative data. Moreover, there should ideally be gaps between the bars to distinguish between the different categories being compared.

These charts use either horizontal or vertical bars to show comparisons among categories. For instance, bars in a bar chart can represent different countries or years, and the height or length of the bar signifies a numerical or a percentage value. Bar graphs provide a visual perspective that aids in understanding data better and enables easy comparison of data across different categories.

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Step-by-step explanation:

if you follow me I will give your answer

Answer:

Step-by-step explanation:

Answer:

look at the picture i sent......

Answer:

bill

Step-by-step explanation:

Bill:

205+(6x5)

205+30= 235

Bill - $235

John:

5+(25x6)

5+150=155

John - $155

So bill has more

Hope this helps

Answer:

x=12

Step-by-step explanation:

Using the external angle theorem (external angle = sum of interior angles that are NOT adjacent to the external angle you are finding), we can set up an equation...

140=3x+4+8x+4

Start by combining like terms...

140=11x+8

Subtract 8 from both sides

132=11x

Divide both sides by 11

x=12

Answer:

The probability of a person getting their own hat is 1/5 or 20%.

Step-by-step explanation:

If each person has one hat the chances (the probability) of them getting their own hat would be 20%. The chances (the probability) of them getting a hat that belongs to one of the other four students would be 80%. Due to there being 5 hats each person owns 1 hat so there would be a 1 out of 5 chance of them getting their own hat.

Answer:

ab= 7.8

ac= 6

bc=5

Step-by-step explanation:

The length of each side of triangle ABC are,

⇒ AB = √61

⇒ BC = 5

⇒ CA = 6

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

The vertices of the triangle ABC are,

⇒ A(- 2, 3), B(3, - 3) , and C(- 2, - 3)

Now, We know that;

The distance between two points (x₁ , y₁) and (x₂, y₂) is,

⇒ d = √ (x₂ - x₁)² + (y₂ - y₁)²

So, The distance between A and B is,

⇒ AB = √ (3 - (-2))² + (- 3 - 3)²

⇒ AB = √ 5² + (-6)²

⇒ AB = √ 25 + 36

⇒ AB = √ 61

And, The distance between B and C is,

⇒ BC = √ (-2 - 3)² + (- 3 - (-3))²

⇒ BC = √ 5² + (0)²

⇒ BC = √ 25

⇒ BC = 5

The distance between A and C is,

⇒ AC = √ (-2 - (-2))² + (- 3 - 3)²

⇒ AC = √ 0² + (-6)²

⇒ AC = √ 36

⇒ AC = 6

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Lily spent $39.3 at the amusement park.

Algebra is the part of mathematics that helps represent problems or situations in the form of mathematical expressions. In algebra we use variables like x, y, and z along with numbers.

Let the money spent by Mandy and Jeremy be 'x' and 'y' respectively.

We have given,

Mandy spent = $16. 25

Jeremy spent = x + $3. 40 = $16. 25 + $3. 40 = $19.65

Lily spent = y × 2 = $19.65 × 2

 Lily spent = $39.3

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Answer:

6000

Step-by-step explanation:

(2t + 3u)(2u - v) + 2(t -u)

(2(50) + 3(25))(2(25) - (16)) + 2((50) -(25))

(100+75)(50-16)+2(50-25)

(175)(34)+2(25)

5950+50

6000

False. if you are given a graph with two shif table lines, the correct answer will always require you to move both lines.

In a graph with two shiftable lines, the correct answer may or may not require moving both lines. It depends on the specific scenario and the desired outcome or conditions that need to be met.

When working with shiftable lines, shifting refers to changing the position of the lines on the graph by adjusting their slope or intercept. The purpose of shifting the lines is often to satisfy certain criteria or align them with specific points or patterns on the graph.

In some cases, achieving the desired outcome may only require shifting one of the lines. This can happen when one line already aligns with the desired points or pattern, and the other line can remain fixed. Moving both lines may not be necessary or could result in an undesired configuration.

However, there are also situations where both lines need to be shifted to achieve the desired result. This can occur when the relationship between the lines or the positioning of the lines relative to the graph requires adjustments to both lines.

Ultimately, the key is to carefully analyze the graph, understand the relationship between the lines, and identify the specific criteria or conditions that need to be met. This analysis will guide the decision of whether one or both lines should be shifted to obtain the correct answer.

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The value of side CA of the right angle triangle is 8.85.

Trigonometry is the branch of mathematics that set up a relationship between the sides and angles of right-angle triangles. The trigonometric functions in mathematics are real functions that relate the right-angled triangle's angle to the ratios of its two side lengths.

Given that △ABC has a right angle at C, BC=7.7 centimeters, and m∠A=41∘.

The value of side CA is calculated, from the right angle triangle applying the angle property,

tan41 = (7.7)/(CA)

CA = (7.7)/(tan41)

CA = 8.85

Therefore, the value of side CA of the right angle triangle is 8.85.

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a. The point estimate of the population mean is 10.7 (rounded to 1 decimal place). b. The point estimate of the population standard deviation is 3.6 (rounded to 1 decimal place).

a. The point estimate of the population mean is calculated by taking the average of the sample data. In this case, the sum of the sample data is 3 + 8 + 11 + 7 + 11 + 14 = 54. Since there are 6 data points, the average is 54/6 = 9. The point estimate of the population mean is rounded to 1 decimal place, which gives us 10.7.

b. The point estimate of the population standard deviation is calculated using the sample data. First, we find the sample variance by subtracting the mean from each data point, squaring the differences, summing them up, and dividing by the number of data points minus 1. The variance is \(((3-9)^2 + (8-9)^2 + (11-9)^2 + (7-9)^2 + (11-9)^2 + (14-9)^2) / (6-1) = 32/5 = 6.4\). Then, we take the square root of the variance to get the standard deviation, which is approximately 2.5. The point estimate of the population standard deviation is rounded to 1 decimal place, resulting in 3.6.

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We could expect $30.00 to gain after 20 tosses.

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favourable outcomes / Number of sample

The probability of all the events occurring need to be 1.

if the toss of a coin comes down heads, you win a dollar. if it comes down tails, you lose fifty cents.

We need to find out How much would you expect to gain after 20 tosses (in $ dollars).

Because if you think about it, you will see that about half of them are going to be heads and the other half are going to be tails.

Therefore, We could expect $30.00 to gain after 20 tosses.

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Answer:

Step-by-step explanation:

You want the price per ounce and the best deal, given 6-, 10-, and 16-ounce bricks cost $3.59, $4.79, and $7.89.

The unit price is found by dividing the price by the number of units. Here, our unit is 1 ounce, so we divide each price by the number of ounces to find the price per ounce. The calculator display attached shows the result to 4 decimal places. Here, we round to 2 dp.

The lowest price per ounce is obtained with the 10 oz brick.

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Answer:

x<7

Step-by-step explanation:

simplify

\(5 \7x + 3 > x + 1\)

subtract x from both sides

\( - 2 \7x+3>1\)

subtract 3 from both sides

\( - 2 \7x>−2\)

mulitply both sides by 7/-2

answer

x<7