surface area of B is 40.32
surface area of a is 28

The maximum number of students who studied all subjects is 6.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Total students = 40

Number of students who studied maths = 32

Number of students who studied geography = 28

Number of students who studied social science = 26

The maximum number of students who studied all subjects.

= Highest number of students who studied one subject - Least number of students who studied a subject

= 32 - 26

= 6

Thus,

6 is the maximum number of students who studied all subjects.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ1

The margin of error for the 92.5% confidence interval to measure the population estimate is 0.0349 .

We have the following confidence interval of proportions in a sample of n people who were polled, with a success probability of and a confidence level of.

In which n = 515

z is the z-score that has a p-value of 1 - 92.5 = 7.5

The margin of error is of:

80 of the 515 participants in a clinical trial exhibited improvement after the treatment.

This means that

92.5% confidence level

So , z is the value of Z that has a p-value of , so .

Margin of error:

\(Z_{\frac{\alpha}{2}}\cdot \sqrt{\frac{p(1-p)}{n} }\) = 0.0349

The margin of error for the 92.5% confidence interval used to estimate the population proportion is of 0.0349 .

In statistics, a confidence interval describes the likelihood that a population parameter would fall between a set of values for a given percentage of the time. Confidence ranges that include 95% or 99% of anticipated observations are frequently used by analysts.

To learn more about confidence interval visit:

https://brainly.com/question/24308825

#SPJ4

Answer:

- 5

Step-by-step explanation:

Step 1:

f ( x ) = - x - 2

Step 2:

f ( 3 ) = - 3 - 2

Answer:

- 5

Hope This Helps :)

Answer:

A. Perpendicular

CarryOnLearning

Given:

The volume of the cubic prism is 45 cubic inches.

Let the side length = x

So,

Taking the cubic root of 45

So, the answer will be the side length = 3.557 inches

tricia wants to install a decorative wall paper border around the top of the wall in her master bedroom. the room measures 14ft by 17ft. then perimeter 62 feet of the border will will she need

For the installation of a decorative wall paper Tricia will need 70 ft of the border to decorate the wall of her master bedroom.

The measures of the room is 17 ft by 14 ft.

So, the length of the room (l) = 17 ft

The width of the room(w) = 14 t

As we know that, perimeter of rectangle is 2(l×w).

We will get perimeter of he room = 2l × 2w

                                                   = 2(17) × 2(14)

                                                   = 62 ft.

learn more about of perimeter here

https://brainly.com/question/28467264

#SPJ4

Answer:

Area = 245m^2

Step-by-step explanation:

We can split this figure into 2 parts, a rectangle and a trapezoid.

Rectangle Sides = 10m and 20m

Area = 10m x 20m = 200m

Trapezoid formula = a+b/2(h)

a and b are the 2 bases and h is the height

Using a little deductive reasoning we get the following, 5+10/2(6)

This simplifies to 15/2(6) -->

7.5(6) = 45

Thus, our area is 200 + 45, or 245m^2

Answer: The probability that of two students randomly chosen, at least one prefers lifting weights is 0.3949.

Explanation :Let A be the event that the first student prefers lifting weights and B be the event that the second student prefers lifting weights. We need to find P(A ∪ B).P(A) = probability that the first student prefers lifting weights = 0.21P(B) = probability that the second student prefers lifting weights = 0.21P(A ∩ B) = probability that both students prefer lifting weights P(A ∪ B) = P(A) + P(B) - P(A ∩ B)We have :P(A ∩ B) = P(A) × P(B) = 0.21 × 0.21 = 0.0441P(A ∪ B) = 0.21 + 0.21 - 0.0441 = 0.3659The probability that neither student prefers lifting weights is 1 - P(A ∪ B) = 1 - 0.3659 = 0.6341So, the probability that of two students randomly chosen, at least one prefers lifting weights is 0.3949.

Know more about probability here:

https://brainly.com/question/32004014

#SPJ11

The probability distribution function of Y is given as:

Y          P(Y)

0         0.0115

1          0.0836

2         0.2330

3         0.3343

4         0.2733

5         0.1458

6         0.0563

7         0.0165

8          0.0037

9          0.0006

10         0.0001

11          0.0000

-                 -

20        0.0000

The random variable Y represents the number of questions a student guesses correctly out of 20.

Each question has 5 choices, so the probability of guessing a question correctly by chance is 1/5, and the probability of guessing incorrectly is 4/5.

Y follows a binomial distribution since each question is an independent trial with two possible outcomes (correct or incorrect), and the probability of success (guessing correctly) remains constant.

To find the probability distribution function (pdf) of Y, we can use the binomial distribution formula:

\(P(Y = k) = C(n, k)\times p^k (1 - p)^(^n ^- ^k^)\)

Where:

n is the number of trials (number of questions), which is 20 in this case.

k is the number of successful trials (number of correct guesses).

p is the probability of success (probability of guessing a question correctly), which is 1/5 in this case.

C(n, k) represents the binomial coefficient, which is the number of ways to choose k successes from n trials, given by C(n, k) = n! / (k!(n-k)!)

Let's calculate the probabilities for each possible value of Y:

Y = 0: The student guesses none of the questions correctly.

P(Y = 0) = C(20, 0)×(1/5)⁰×(4/5)²⁰

= 1 × 1 × (4/5)²⁰ = 0.0115

Y = 1: The student guesses exactly one question correctly.

P(Y = 1) = C(20, 1) × (1/5)¹ × (4/5)²⁰⁻¹

= 20 × (1/5) × (4/5)¹⁹ = 0.0836

Continuing this process for all possible values of Y up to 20, we can create the table.

To learn more on probability click:

https://brainly.com/question/11234923

#SPJ4

A philosophy professor decides to give a 20 question multiple-choice quiz to determine who has read an assignment. Each question has 5 choices. Let Y be the random variable that counts the number of questions that a student guesses correctly. You can assume that questions and answers are independent. a. Find the probability distribution function of Y by making a table of the possible values of Y and their corresponding probabilities.

Check the picture below.

\(4+10x=\cfrac{(9x+20)+10x}{2}\implies 8+20x=19x+20\implies x=12 \\\\[-0.35em] ~\dotfill\\\\ 4+10x\implies 4+10(12)\implies \stackrel{ \measuredangle DEC }{124^o}\)

Answer:

B

Step-by-step explanation:

You multiply the exponents to get rid of the parenthesis. you will get 3 to the power of -30, over 7 to the power of -15. Now, you want to get rid of the negative exponents, so you flip them. 7 to the -15 power becomes 7 to the 15 power, goes on the numerator, and 3 to the -30 power becomes 3 to the 30 power and goes on the denominator. Therefore you get 7 to the 15 power over 3 to the 30 power. The answer is B

Answer

F= 50x+400 ≤1,600

Step-by-step explanation:

I been had this question and i got it right

The inequality represents all possible values of x, the number of these boxes that can be loaded into the moving truck is 50x + 400 < 1,600.

The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to’, > ‘greater than’, or < ‘less than’.

Given:

The given statement is

The greatest weight a moving truck can carry = 1,600 pounds

Weight of the piano = 400 pounds

Weight of box = 50 pounds

According to given question we have

By the use of inequality we get,

Let the all possible value of x

I.e weight  cannot be grater than 1600  pounds

The inequality represents all possible values of x will be;

50x + 400 < 1,600

Therefore, the inequality represents all possible values of x, the number of these boxes that can be loaded into the moving truck is 50x + 400 < 1,600.

Learn more details about inequality  here:

https://brainly.com/question/20383699

#SPJ5

Answer:

$275(All the players)

$550 remained money from all spent

Step-by-step explanation:

$55(each)×5(players)=$275(All the players)

while the money remained e players uniform

$460(Equipments)

herefore add Equipments to the total of all the players

450+275=$725(total of the amount spent)

$1275-$725=550

Answer:

  (x, y) = (1, 3)

Step-by-step explanation:

You want to solve this system of equations by substitution:

We can solve the first equation for an expression in x:

  x = (1.1 -0.3y)/0.2 = (11 -3y)/2

Substituting for x in the second equation gives ...

  0.7(11 -3y)/2 -0.5y +0.8 = 0

  7.7 -2.1y -y +1.6 = 0 . . . . . . . . . multiply by 2, eliminate parentheses

  -3.1y +9.3 = 0 . . . . . . . . . . . . collect terms

  y -3 = 0 . . . . . . . . . . . . . . . divide by -3.1

  y = 3 . . . . . . . . . . . . . . . add 3

  x = (11 -3(3))/2 = 2/2 = 1 . . . . . find x

The solution is (x, y) = (1, 3).

__

Additional comment

A graphing calculator confirms the solution.

Answer:

The answer is B

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

It took both Sandy and Tom 54 seconds to cover the same distance.

We can set up an equation based on their relative speed

Take the supposition that Tom needs "t" seconds to travel the distance. Sandy started jogging 12 seconds before Tom, so it will take her "t + 12" seconds longer to complete the same distance.

To determine the distance traveled by Sandy, multiply her speed (7 meters per second) by her time (t + 12) seconds. Tom's distance traveled may be determined by dividing his speed (9 meters per second) by his time (t) seconds.

Equating the distances covered by Sandy and Tom:

7(t + 12) = 9t

Expanding the equation:

7t + 84 = 9t

Subtracting 7t from both sides:

84 = 2t

Dividing both sides by 2:

t = 42

Tom traveled the distance in 42 seconds as a result. We add the 12-second lead Sandy had to determine the time it took for both Sandy and Tom to travel the same distance:

t + 12 = 42 + 12 = 54

So, it took both Sandy and Tom 54 seconds to cover the same distance.

Learn more about equation here : brainly.com/question/13763238

#SPJ1

Answer:79°

Step-by-step explanation:

Given the 124° angle, the other angle formed by that line and the top side of the square must be 56°, as they are supplementary angles (they must add up to 180°). This means that the angle formed by that same line and the bottom side of the square is also 56° since it is a corresponding angle and the top and bottom sides of a square are parallel. The angle that a diagonal of a square forms with the sides of a square is always 45°.

So now we have a triangle (in red in my diagram) with angles of 45°, 56°, and x°. The sum of the angles of a triangle must always equal 180°, so we solve for x:

56 + 45 + x = 180

x = 180 - 56 - 45 = 79

So angle x must be 79°.

Answer:

  no solutions

Step-by-step explanation:

You want to examine solutions for the system of equations ...

Writing each of these in standard form, we have ...

  8x -y = -4 . . . . . divide the first equation by 2

  8x -y = 3 . . . . . . add 3-y to the second equation

These equations describe parallel lines. Any (x, y) solution to the first equation cannot be a solution to the second equation, and vice versa. There is no point of intersection, so this system of equations has no solution.

__

Additional comment

If you subtract the first equation from the second, you get ...

  0 = 7 . . . . . false

No values of x and y will make this true.

Answer:

42 cups total

Step-by-step explanation:

24 cups of brown sugar / 4 cups = 6

3 cups of good old granulated sugar * 6 = 18 cups

24 cups of brown sugar and 18 cups of granulated sugar

24 + 18 = 42 cups

Answer:

671921 * 79719

= 53,564,870,199

Answer:

53564870199

Step-by-step explanation:

671921*79719=53564870199

The greatest possible value of a b ca b c occurs when aa, bb, and cc are the largest possible digits.

This value can be calculated by subtracting the two largest values of b n b_n from c n c_n for different values of nn and finding the maximum result.

Let's consider the largest possible digits for aa, bb, and cc. Since aa, bb, and cc are nonzero digits, the largest possible digit is 9.

To find the greatest possible value of a b ca b c, we need to find the maximum difference between c n c_n and b n b_n for different values of nn. Since a na n ​ has nn digits with all digits equal to aa, the maximum value of a na n ​ is nn times aa.

For b nb n ​, we have nn digits with all digits equal to bb, so the maximum value of b nb n ​ is nn times bb.

Lastly, for c nc n ​, we have 2n digits with all digits equal to cc. The maximum value of c nc n ​ is 2n times cc.

To find the maximum difference between c n c_n and b n b_n, we subtract b nb n ​ from c nc n ​:

c n - b n = (2n * cc) - (nn * bb)

We can calculate this difference for different values of nn and find the maximum result. The largest possible value of a b ca b c occurs when this difference is maximum.

Please note that specific values of nn, aa, bb, and cc are not provided, so we cannot calculate the exact value. However, the approach described above can be used to find the greatest possible value based on the given conditions.

Learn more about subtracting here:

brainly.com/question/13619104

#SPJ11

The work done is 3750 Joules on the box.

To quantitatively express this concept, the work W is equal to the force f times the distance d, or W = fd. If the force is applied at an angle to the displacement, the work is W = fd cos.t.

The equation W = F * d * cos(theta), where W is the work done, F is the force applied, d is the displacement of the item, and theta is the angle between the force and displacement vectors, can be used to solve this problem.

The force in this instance is 500 N, and the distance is provided as 15 m, and the 60 degree angle between the vectors of force and displacement.

So, by changing these numbers in the equation, we obtain:

W = 500 N x 15 m x cos (60 degrees)

We can simplify this to: Applying the trigonometric identity cos(60 degrees) = 1/2

W = (500 N) * (15 m) * (1/2)

W = 3750 J.

To know more about work done visit:-

https://brainly.com/question/29050812

#SPJ1

Answer:

1539/4 (improper fraction) or 384 3/4 (simplified fraction)

Step-by-step explanation:

To find the improper fraction, write 384.75 as a fraction:

384.75/1

Then, since you have 2 decimal places after the ., multiply the entire fraction by 100:

38475/100

Next, find the GCF, which is 25, and simplify this fraction to find the final improper fraction:

1539/4

To find the simplified fraction, we already have the whole number, 384, so we have to convert 0.75 to a fraction which is 3/4, because 0.75 is 3/4 of 100:

384 3/4

Hope this helps :)

Answer:

73 degrees

Step-by-step explanation

All quadrilaterals have interior angles that add up to 360 degrees

The sum of all the angles in a quadrilateral, a four-sided shape is 360 degrees, so we get the equation:

   \(x + 127 +87 + 73 = 360\\x + 287 = 360\\x = 73\)

Therefore x = 73.

Hope that helps!

Answer:

Supplementary

Step-by-step explanation:

Anyways,

the sample is the 100 trees checked. Thats cause they checked all 100 and found 24 had damage. Which means they sampled 100 trees out of the whatever amount in the forest.

================

[SEPARATE QUESTION]

Separate question since people are confused about it in the previous answers comments "Which of the following statements best describes the bias that may arise from the results?":

I can confirm A is wrong. C just, feels wrong completely.

So that leaves us with B or D.

I think it's D: Trees near the road may have more damage than trees away from it, so the results may overestimate the overall damage of the trees.

I have not finished yet but I am 95% sure D is correct.

The reason why I don't believe it's B is because they want to resample near the same road, which can still result to biased results.

================

ED2021

Among all the given descriptions, the one that is describing the sample in the given setting is: “all white pine trees in the state park.” Hence, Option D is correct.

A sample is merely a subset of the population. Consider a scenario in which one wished to determine the average income for all Americans in the population. In terms of research, a sample is a collection of individuals, things, or things that are taken for measurement from a wider population.

To ensure that the findings from the research sample can be applied to the population as a whole, the sample should be representative of the population. 100 trees that were examined are the sample.

That's because they examined all 100 and discovered that 24 had damage, which means that they took 100 samples from the total number of trees in the forest.

The findings may exaggerate the total extent of the damage to the trees since trees close to the road may have sustained more damage than those farther away from it.

Therefore, Option D is correct.

Learn more about sample from here:

https://brainly.com/question/13287171

#SPJ2

Answer:

3/25

Step-by-step explanation:

0.12 multiplied by 100 equals 12

which means 12/100 is 0.12

now simplify

6/50

3/25

Answer: C. Region C

Step-by-step explanation: Done on edge! Hope this helps!