Y’all try to help me out with this math please

If the population standard deviation of a sample decreases without other changes, then the confidence interval will also decrease or become narrower.

If the population standard deviation of a sample decreases without other changes, the standard deviation of the sample mean (known as the standard error of the mean) will also decrease. This will lead to a decrease in the width of the confidence interval, meaning that the interval will become more precise and the confidence level in the estimation of the population mean will increase.

A smaller standard deviation results in a smaller standard error, which in turn leads to a narrower confidence interval and a higher level of confidence in the estimation of the population mean.

This is because the confidence interval is calculated using the standard error and the sample mean, and the standard error is a measure of the variability in the sample mean. So, if the standard deviation decreases, the variability in the sample mean will decrease, resulting in a more precise estimation of the population mean.

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The missing number in the median set is 6.

We are given that;

Median set=18

Now,

To find the missing number, you need to know the number of elements in the set and their order. The median is the middle value of a set when it is arranged in ascending or descending order. If the set has an odd number of elements, the median is the exact middle value. If the set has an even number of elements, the median is the average of the middle two values.

For example, if the set is {2, 4, 6, 8, 10}, the median is 6 because it is the middle value. If the set is {3, 5, 7, 9}, the median is (5 + 7) / 2 = 6 because it is the average of the middle two values.

Therefore, by median the answer will be 6.

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Answer:Addition

Step-by-step explanation:

and the answer for the addition is 34135

Hello there mate ☺️,

This question is really simple. Just add.

In this question, just add the total numbers given.

→ 15,789 + 18,346

→ 34,135 people were the total people who visited the park in all.

✍️ By Benjemin ☺️

The highest point scored is by Carlos with 19 points. Mario's highest was 15. so, Carlos scored 4 points more than Mario.

In the 7th game, Carlos scored 19 points which is the highest point of his game. In the 1st game, Mario scored 15 points which was the highest point he scored. Therefore, Carlos had the highest scoring game between the two of them. Carlos scored 4 points more than Mario did in his highest-scoring game. You can also construct a box plot for this question which will help you visualise this better. The box plot can be made by drawing a number line and marking the following points: minimum, first quartile, median, third quartile and maximum.

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The full question is:

Mario and Carlos, two brothers, play for the same basketball team. Here are the

points they scored in 10 games:

Game 1 2 3 4 5 6 7 8 9 10

Mario 15 X X 12 7 11 12 11 10 11

Carlos 10 X 9 12 15 X 19 11 12 12

(Xs mark games each one missed.) Which brother had the

highest-scoring game? How many more points did he score in

that game than the other brother did in his highest-scoring game?

Answer

17

Step-by-step explanation:

hope this helps

After conversion of unit, 40 km is approximately 24.85 miles fast.

To convert the unit follow the rules:

1. Determine the starting unit and the desired unit.

2. Look up the conversion factor between the two units.

3. Multiply the starting unit by the conversion factor to get the desired unit.

As we know that;

1 km = 0.621371192 miles

To calculate 40 km in miles, you can use the following formula:

40 km = 40 km x 0.621371192

40 km = 24.854 miles.

Therefore, 40 km is approximately 24.85 miles.

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For convenience sake, I will be omitting the arguments of the trig functions.

Answer:

A.

Step-by-step explanation:

The solution of the given system of equations is as follows:

x = x y = y z = -4/3x - 10/9y + 68/27

w = -1/147

Let's solve the given system of equations:

4x + 12y - 7z - 20w = 263x + 9y - 5z - 28w = 36

Divide the first equation by 4 and the second equation by 3 we have:

x + 3y - 7/4z - 5/2w = 26/43x + 3y - 5/3z - 28/3w = 12

Now, multiply the first equation by 3 and subtract from the second equation:

3(1x + 3y - 7/4z - 5/2w = 26/4)3x + 3y - 21/4z - 15/2w = 39/4- (3x + 3y - 5/3z - 28/3w = 12)1/3z + 11/3w = 7/4

Now, solve for z:

z = 21w - 28/3By substituting the value of z in terms of w in the first equation we get:

1x + 3y - 7/4(21w - 28/3) - 5/2w = 26/4x + 3y - 147/4w + 7 = 13/2

Multiply both sides by 2, and we get:2x + 6y - 147/2w + 14 = 13

Therefore,2x + 6y - 147/2w = -1/2

Now, solving for w:{147}/{2w}= {-1}/{2}

w = -1/147

By substituting the value of w in the equation x + 3y - 7/4z - 5/2w = 26/4, we get:

1x + 3y - 7/4z - 5/2(-1/147) = 26/4x + 3y - 7/4z + 5/294 = 13/12

Multiplying both sides by 12, we get:12x + 36y - 21z + 5 = 39

Now, solve for z:

z = -{4}/{3}x - {10}/{9}y + {68}/{27}

Hence, the solution of the given system of equations is as follows:x = x y = y z = -4/3x - 10/9y + 68/27w = -1/147

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The function f(x) = 8x² + 4x written in vertex form include the following: A. f(x) = 8(x + 0.25)² - 1/2.

In Mathematics, the vertex form of a quadratic function is represented by the following mathematical equation:

f(x) = a(x - h)² + k

Where:

In order to write the given function in vertex form, we would have to apply completing the square method as follows;

f(x) = 8x² + 4x

f(x) = 8[x² + 0.5x]

f(x) = 8[x² + 0.5x + (0.5/2)² - (0.5/2)²]

f(x) = 8[(x² + 0.5x + 1/16) - 1/16]

f(x) = 8[(x + 0.25)² - 1/16]

f(x) = 8(x + 0.25)² - 8/16

f(x) = 8(x + 0.25)² - 1/2

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Complete Question:

What is f(x) = 8x² + 4x written in vertex form?

f(x) = 8(x + 0.25)² - 1/2

f(x) = 8(x + 0.25)² - 1/16

f(x) = 8(x + 0.5)² - 2

f(x) = 8(x + 0.5)² - 4

Answer:

d

Step-by-step explanation:

Answer:

slope = 1

Step-by-step explanation:

slope = rise/run. it rose 5 and ran 5. 5/5=1

volume= 16/3, A coordinate plane is a graphing and description system for points and lines. A vertical (y) axis and a horizontal (x) axis make up the coordinate plane. There are four quadrants in the coordinate plane. The point where these lines connect is called the origin (0, 0).

limits

z= 0 to z = 4-y-2x

y= 0 to y = 4- 2x

x= 0 to x= 2

volume

v= \(\int\limits^2_0 \int\limits^4_0 \int\limits^4_0 dzdydx\)

v= \(\int\limits^2_0 \int\limits^4_0 (4-y-2x) dydx\)

v= \(\int\limits^2_0 ( 4y- y^{2} / 2 - 2xy) ^4^-^2^x _0\)

dx= \(\int\limits^2_0 [ 16-8x - 16+ 4x^2 - 16x / 2 - 8x+ 4x^2 ] dx\)

v= \(\int\limits^2_0 [ 8+ 2x^2- 8x] dx\\\)

= [ 8x + 2x^3 / 3 - 8x^2 / 2 ] ^2_0

= [16+ 16/3- 16]

v= 16/3

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Complete Question

Question: Sketch The Tetrahedron Enclosed By The Coordinate Planes And The Plane 2x+Y+Z=4. Use A Triple Integral To Find The Volume Of The tetrahedron

The simplified expression for (f ∘ g)(x) is 2 + x (option d).

To find and simplify (f ∘ g)(x), we need to substitute the expression for g(x) into f(x) and simplify.

Given:

f(x) = log₃(9x)

g(x) = \(3^x\)

Substituting g(x) into f(x):

(f ∘ g)(x) = f(g(x)) = log₃\((9 * 3^x)\)

Now, we simplify the expression:

log₃\((9 * 3^x)\) = log₃(9) + log₃\((3^x)\)

Since logₓ(a * b) = logₓ(a) + logₓ(b), we have:

log₃(9) + log₃\((3^x)\) = log₃\((3^2)\) + x

Using the property logₓ\((x^a)\) = a * logₓ(x), we get:

log₃\((3^2)\) + x = 2 * log₃(3) + x

Since logₓ\((x^a)\) = a, where x is the base, we have:

2 * log₃(3) + x = 2 + x

Therefore, (f ∘ g)(x) simplifies to:

(f ∘ g)(x) = 2 + x

So, the correct answer is (d) 2 + x.

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Complete Question:

Given f(x)=log₃(9x) and g(x)=\(3^x\). Find and simplify (f ∘ g)(x)

(a) 2x

(b) x

(c) \(27^x\)

(d) 2+x

(e) None of these.

c=2.2feet

The solution in the attached file

The algebraic expression for "The product of 9 and two more than a number" is 9(x + 2).

In the given word phrase, "a number" is represented by the variable x. The phrase "two more than a number" can be translated as x + 2 since we add 2 to the number x. The phrase "the product of 9 and two more than a number" indicates that we need to multiply 9 by the value obtained from x + 2. Therefore, the algebraic expression for this word phrase is 9(x + 2).

"A number": This is represented by the variable x, which can take any value.

"Two more than a number": This means adding 2 to the number represented by x. So, we have x + 2.

"The product of 9 and two more than a number": This indicates that we need to multiply 9 by the value obtained from step 2, which is x + 2. Therefore, the algebraic expression becomes 9(x + 2).

In summary, the phrase "The product of 9 and two more than a number" can be algebraically expressed as 9(x + 2), where x represents the number.

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The area of the regular pentagon is 252.7m²

The formula that is used for calculating the area of a regular pentagon is expressed with the equation;

A = 5/2 x s x a

where the parameters are;

Apothem is the line from the center of the pentagon to a side, intersecting the side at 90 degrees right angle.

apothem,a = s/2 tan (180/n)

Substitute the values

Apothem, a = 7.6/2 tan 16

a = 7.6/0.57 = 13.3m

Substitute the values, we get;

Area = 5/2 × 7.6 × 13.3

Multiply the values, we have;

Area = 505. 4/2

Divide the values, we get;

Area = 252.7 m²

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The compound inequality can be written as 83 ≤ x ≤ 91

we can write a compound inequality to represent this situation as:

83 ≤ (92 + 87 + 85 + 88 + 2x) / 6 ≤ 91

where x represents Marcus's score on the final exam (which counts as two tests).

To solve for x, we can start by multiplying both sides of the inequality by 6 to eliminate the denominator:

498 ≤ 352 + 2x ≤ 546

Next, we can subtract 352 from all sides of the inequality:

146 ≤ 2x ≤ 194

Finally, we can divide all sides of the inequality by 2:

73 ≤ x ≤ 97

Therefore, Marcus must score between 73 and 97 on his final exam to earn a "B" in the course.

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Time = distance / speed

Time = 100 miles / 50 miles per hour

Time = 2 hours

Answer:2 hours

Step-by-step explanation:

Answer:

For 7 houses you will need 5.83 acres of land and the builder will have 4.16 acres of land unused 

Step-by-step explanation:

Answer:

(n+5)/6

n is a number plus 5. All divided by 6

Answer:

(x+5)/6

Step-by-step explanation:

Let's assume the number is x. The sum of a number means addition so when you see "the sum of", it means addition. The things that are getting added are x and 5 so it becomes x+5. Then you divide x+5 by 6 and you get (x+5)/6

I added parentheses because I didn't know how to show the full fraction.

Answer:

7 & 5

Step-by-step explanation:

7+5=12
7-5=2
5-7=-2

Answer:

5 and 7

Step-by-step explanation:

5 + 7 = 12

5 - 7 = -2

9514 1404 393

Answer:

  D.  -17%

Step-by-step explanation:

The change from March to April is (April - March) = (100 -120) = -20. As a fraction of the March bill, that is ...

  -20/120 = -1/6

As a percentage, that change is ...

  -1/6 × 100% ≈ -16.667% ≈ -17%

The electric bill changed by about -17% from March to April.

_____

Additional comment

Water went up 4%; groceries went up about 14%, and restaurant changed by -15%.

The percentage change is found by ...

  % change = ((new amount)/(original amount) -1) × 100%

Above, we have rearranged this to ...

  % change = ((new amount) -(original amount))/(original amount) × 100%

The probability of B can be any value between 0 to 1 which is option C .

What is probability ?

A probability is a number that reflects the chance or likelihood that a particular event will occur. Probabilities can be expressed as proportions that range from 0 to 1, and they can also be expressed as percentages ranging from 0% to 100%.

Given : P(A) = 0.6

The fact that the events are independent shows we can just multiply the probabilities of the events not happening together:

P(not A and not B) = P(not A) x P(not B) = (1–0.6) x (1–0.4) = 0.24

probabilities checking  is done by the fact that all possible outcomes sum to 1:

P( A and B) = 0.6 x 0.4 =0.24

P(A not B) =0.6 x (1–0.4) = 0.36

P(B not A) =(1–0.6) x 0.4 = 0.16

0.24 + 0.36 + 0.16 + 0.24 = 1

Hence , the probability of B can be any value between 0 to 1 which is option C .

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Answer:

56.52 cm

Step-by-step explanation:

Concepts

The circumference of a circle is the distance around it, or the perimeter of the circle. The formula to find the circumference is 2πr, where r = radius.

Application

We're given the radius as 9 cm, and we have to find the circumference of the circle using π as 3.14. Let's use the formula 2πr to solve for this.

Solution

Answer:

\(x < - 5\)

Step-by-step explanation:

1: Solve the inequality:

\(3x - 11 > 7x + 9\)

Rearrange unknown terms to the left side of the equation:

\(3x - 7x > 9 + 11\)

Combine like terms:

\( - 4x > 9 + 11\)

Calculate the sum or difference:

\( - 4x > 20\)

Reduce the greatest common factor for both sides of the inequality:

\( - x > 5\)

Divide both side of the inequality by the coefficient of variable:

\(x < - 5\)

2: plot:

\(x < - 5\)

Graph on number line:

The solution of the inequality 3x– 11 > 7x + 9 is x < - 5.

Inequality shows us things that are not exactly equal.

According to the given equation 3x– 11 > 7x + 9 we have to to graph the solution of inequality.

So, 3x– 11 > 7x + 9.

3x - 7x > 9 + 11.

-4x > 20.

-x > 20/4

-x > 5

x < - 5   ( Think of moving the negative value of x to the other side to                                  

             make x positive irrespective of what sign the constant will have)

Now the graph f the solution of inequality will have an open circle a x = -5 and it will extend t negative infinity.

An image is attached which shows region less than - 5 we can also think of a line.

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Answer:

Range: (-10 , 14)

Step-by-step explanation:

Given information:

Range: (x , y)?

Plug in domain of x = -4 and x = 4 into equation to find range.

f(-4) = 3 * -4 + 2 = -10

f(4) = 12 + 2 = 14

Range: (-10 , 14)

Since Point G is the centroid of right triangle ABC with hypotenuse AB=18in. Then  CG is 6 in.

The area of the square whose side is the hypotenuse (the side across from the right angle) in any right triangle equals the sum of the areas of the squares whose sides are the two legs, according to the Pythagorean theorem.

Note that from the question, A triangle's centroid, G, is located 2/3 of the way down one of its medians. We tend must determine the median C's length in order to find CG.

We require the use of Thale's Theorem to get the median length at C. According to this, a right triangle ABC can be encircled by a semicircle with the hypotenuse acting as the diameter.

Therefore, the median C is a point on the semicircle that connects to the diameter of the hypotenuse AB. Since it is connected to the center, median C is a radius. Half of its length, or 18/2, or 9 inches, makes it.

So:

CG is 2/3 down the median, which is:

9 x 2/3 = 6 inches.

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Answer:

To make it trinomial it has to be ax²+bx+c

The estimated area of the unshaded rectangle is 5625 square inches.

The formula for calculating the area of a rectangle. Rectangle surface area. A = l × b.

Once the length and breadth of a rectangle are determined, the area is computed.

The area of a rectangle may be calculated by multiplying its length and width.

The estimated value of the length of the shaded square is: 11 inches

The estimated value of the area of the unshaded rectangle is: 5625 square inches.

To find the estimated length of the shaded square,

We can use the square root of the area:

√(125) = 11

To find the estimated area of the unshaded rectangle,

We can multiply the length by the width:

75 * 11 = 825

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