I need the answer pls

9514 1404 393

Answer:

Step-by-step explanation:

The measure of an arc is the measure of the corresponding central angle.

__

Short arc AB is shown as subtending a central angle of 102°, so the measure of arc AB is 102°.

__

The sum of arc measures in a circle is 360°, so the measure of arc ADB is 258°, the value that adds with 102° to make 360°.

Answer:

562 child tickets were sold

217 adult tickets were sold

Step-by-step explanation:

A festival charges $3 for children admission and $5 for adult admission

At the end of the festival they have sold a total number of 779 tickets for $2771

Let x represent the child ticket

Let y represent the adult ticket

x + y= 779..............equation 1

3x + 5y= 2771..........equation 2

From equation 1

x + y = 779

x= 779 -y

Substitute 779-y for x in equation 2

3x + 5y= 2771

3(779-y) + 5y= 2771

2337 - 3y + 5y= 2771

2337 +2y= 2771

2y= 2771 -2337

2y = 434

y = 434/2

y = 217

Substitute 217 for y in equation 1

x + y= 779

x + 217= 779

x = 779-217

x= 562

Hence 562 child tickets were sold and 217 adult tickets were sold

To formulate this problem as a linear programming problem, we need to identify the decision variables, objective functions, and constraints.

Decision Variables:
Let x be the number of model A printers manufactured per month, and y be the number of model B printers manufactured per month.

Objective Function:
The objective is to maximize monthly profits, which can be expressed as P = 25x + 40y.

Constraints:
1. The total number of printers demanded per month cannot exceed 3000, so we have the constraint x + y ≤ 3000.
2. The company has earmarked not more than $600,000/month for manufacturing costs, so the cost constraint is 120x + 140y ≤ 600,000.
3. The number of printers manufactured must be non-negative, so x ≥ 0 and y ≥ 0.

Therefore, the linear programming problem is:
Maximize P = 25x + 40y
Subject to:
x + y ≤ 3000
120x + 140y ≤ 600,000
x ≥ 0, y ≥ 0

Learn more about programming here:

https://brainly.com/question/11023419

#SPJ11

The diagram of water cycle is attached below.

The best describes the process occurring at U and X is Water changes from a liquid to a gas.

The process that occurs at the position of U and X is discussed when water transforms from a liquid to a gas. This is called Evaporation.

The following are the situations that should not be arisen at the location U and X:

Learn more about Water cycle here:

https://brainly.com/question/31195929

#SPJ1

The arc length of the curve x =\(y^4/4 + 1/8y^2\), for 1 <= y <= 5, is approximately 33.93 units.

To find the arc length of the curve, we use the formula for arc length integration. Given the equation x = \(y^4/4 + 1/8y^2\) and the interval 1 <= y <= 5, we want to determine the length of the curve within this range.

First, we differentiate the equation with respect to y to obtain dx/dy. In this case, dx/dy = \(y^3 + 1/4y\). Then, we use the formula for arc length:

L = ∫[a,b] \(\sqrt{(1 + (dx/dy)^2)}\) dy

Plugging in the values from the given interval, a = 1 and b = 5, we integrate the expression \(\sqrt{(1 + (y^3 + 1/4y)^2)}\) with respect to y. Evaluating this integral gives us the arc length of the curve within the specified interval, which is approximately 33.93 units.

Learn more about  arc length

brainly.com/question/32264791

#SPJ11

Answer:

predict the impact of removing snakes from this food web

Answer:

yes

Step-by-step explanation:

16oz is 1 pound so if we divide 16 by 2 we get 8 add back on the oz and that's your answer

for further help contact me or a verified teacher

\(k=60 USD \)

\(q = 30\% = 1 \frac{3}{100} = 1.3\)

\(r=q⋅ k=1.3⋅ 60=78 USD \)

Answer:

boys = 250

girls = 150

Step-by-step explanation:

5g = 3b       eq. 1

g + b = 400       eq. 2

g = girls

b = boys

From the eq. 2

g = 400 - b

Replacing this last eq. on eq. 1:

5(400-b) = 3b

5*400 + 5*-b = 3b

2000 - 5b = 3b

2000 = 3b + 5b

2000 = 8b

2000/8 = b

250 = b

From eq. 2

g + 250 = 400

g = 400 - 250

g = 150

Check:

from eq. 1

5*150 = 3*250  = 750

There are 23,100 ways to form the committee if there must be 2 members chosen from each of the three subgroups.

The committee must have 2 members chosen from each of the three subgroups, which means we need to choose 2 administrative personnel, 2 faculty members, and 2 students. We can choose the administrative personnel in C(6,2) ways, the faculty members in C(8,2) ways, and the students in C(11,2) ways. Then, using the multiplication principle, the total number of ways to form the committee is:

Therefore, there are 23,100 ways to form the committee if there must be 2 members chosen from each of the three subgroups.

Learn more about the multiplication principle:

https://brainly.com/question/3618797
#SPJ4

The distribution of values taken by a statistic in all possible samples of the same size from the same population is known as the sampling distribution of the statistic.

In other words, it refers to the distribution of a particular statistic, such as the sample mean or sample proportion, if we were to take all possible samples of a given size from a population.

The sampling distribution is an important concept in statistics because it allows us to make inferences about a population based on a sample.

By examining the sampling distribution of a statistic, we can determine the range of values that the statistic is likely to take and calculate the probability of observing a particular value or range of values.

This information can be used to make inferences about the population parameter from which the sample was drawn.

For example, suppose we want to estimate the mean income of all individuals in a particular city. We could take a random sample of individuals from the city and calculate the sample mean.

The sampling distribution of the sample mean would then give us information about the range of values that the true population mean is likely to take, as well as the probability of observing a particular sample mean.

This information could be used to construct confidence intervals or perform hypothesis tests to make inferences about the population mean.

In summary, the sampling distribution is a key concept in statistics that allows us to make inferences about a population based on a sample. It refers to the distribution of values taken by a statistic in all possible samples of the same size from the same population.

To know more about sampling distribution refer here :

https://brainly.com/question/31465269#

#SPJ11

Answer:

D(1, -2)

E(3, -4)

The value of x , y and z in the parallel line is 50 degrees.

When parallel lines are crossed by a transversal line, angle relationships are formed such as vertically opposite angles, alternate interior angles, alternate exterior angles, adjacent angles, corresponding angles etc.

Therefore, let's use the angle relationships to find the angle, x, y and z as follows:

Therefore,

x = 360 - 310(sum of angles in a point)

x = 50 degrees

Therefore,

x = y(alternate interior angles)

Alternate interior angles are congruent.

Hence,

y = 50 degrees

Therefore,

x = z(alternate interior angles)

z = 50 degrees.

learn more on angles here: https://brainly.com/question/17043791

#SPJ1

a. The probability of selecting a red ball from Urn A and then the probability of selecting a red ball from Urn B after one red ball has been transferred. b. The probability of selecting a red ball from Urn B, taking into account the transfer of one ball from Urn A. c. The probability that the first ball was red can be calculated using conditional probability.

a. To calculate the probability that both balls chosen are red, we multiply the probability of selecting a red ball from Urn A (2 out of 5) by the probability of selecting a red ball from Urn B (6 out of 7, since one red ball was added). So the probability is (2/5) * (6/7) = 12/35.

b. To calculate the probability that the second ball chosen is red, we consider that there are now a total of 6 red balls and 7 balls in Urn B. Therefore, the probability is 6/7.

c. To find the probability that the first ball was red given that the second ball is red, we use conditional probability. The probability that both balls are red (12/35) divided by the probability that the second ball is red (6/7) gives us (12/35) / (6/7) = 4/5. Therefore, the probability that the first ball was red given that the second ball is red is 4/5.

Learn more about probability here:

https://brainly.com/question/31828911

#SPJ11

Answer:

2x+1

Step-by-step explanation:

f(x) = x + 1

g(x) = 2x

f(g(x)) = Replace x in the function f(x) with the function g(x)

f(g(x)) = g(x) +1

         = 2x+1

Answer:

f(g(x)) = 2x + 1

Step-by-step explanation:

Substitute x = g(x) into f(x) , that is

f(g(x))

= f(2x)

= 2x + 1

Answer:

600÷30= 2020 millimeters per minute

Step-by-step explanation:

Answer:

Step-by-step explanation:

I'm guessing that the question means how many mm of rain fell in a minute.

If this is incorrect, leave a note under the question. I will correct it when I find the note.

rate = amount / time

amount = 0.665

time = 35 minutes

rate = 0.665/35

rate = 0.019 mm / minute

If the units are anything but what I've used, please let me know.

Answer:

278.76 miles

Step-by-step explanation:

13.8 x 20.2 = 278.76

Answer:

Term to add is (3/8)^2 = 9/64

Step-by-step explanation:

Here, we want to know the value that must be added to make the equation a perfect square.

x^2 - 3/4x = 5

x^2 -3/4x -(3/8)^2+ (3/8)^2 = 5

x^2 -3/4x + (3/8)^2 = 5 + (3/8)^2

= (x-3/8)^2 = 5 + (3/8)^2

So the term to add is (3/8)^2 = 9/64

Answer:

\(\dfrac{9}{64}\)

Step-by-step explanation:

Given the equation: \(x^2-\frac{3}{4}x=5\)

To make the left hand side of the equation a perfect trinomial, we follow these steps.

Step 1: Divide the coefficient of x by 2.

Coefficient of x \(=-\frac{3}{4}\)

\(-\frac{3}{4} \div 2 =-\frac{3}{8}\)

Step 2: Square your result from step 1

\(\implies (-\frac{3}{8})^2 \\=\dfrac{9}{64}\)

Therefore, to make the Left-Hand side a  perfect-square trinomial, we add 9/64.

Answer:

Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“. The sides of this triangle have been named as Perpendicular, Base and Hypotenuse. Here, the hypotenuse is the longest side, as it is opposite to the angle 90°.

Answer: In mathematics, the Pythagorean theorem, or Pythagoras's theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides.

Step-by-step explanation:

I SMART

Answer: ~1256.64

Step-by-step explanation:

The equation for the surface area of a sphere is 4πr². So you would substitute 10 in for r which would then be 4π10². That will get you 1256.63706 but rounded it would be approximately 1256.64.

Answer: \(\text{400}\pi \ \text{square inches}\)

Step-by-step explanation:

Given: The radius of the sphere = 10 in.

The formula to calculate the surface area of the sphere is given by:

\(\text{Surface Area}=4\pi r^2\), where r is the radius of the sphere.

For r = 10 in. we have

\(\text{Surface Area of the sphere}=4\pi (10)^2\)

\(\implies \text{Surface Area of sphere}=4\pi (100)\)

\(\implies \text{Surface Area of the sphere}=\text{400}\pi \ \text{square inches}\)

Answer:

the answer is  (x – 4)(x2 + 4x + 16).

Answer:

Step-by-step explanation:

Answer:

175/90 or in its simplest form, 35/18 or 1 17/18

Step-by-step explanation:

1. Convert both fractions into improper fractions

2. Use KFC

25/3 ÷  30/7 = 25/3 × 7/30

Hope this help!

If the level of significance is 10 %, then the potential type of statistical error is type II error.

What is statical error?

The term "error" (also known as "statistical error") refers to the discrepancy between a value obtained through a data gathering procedure and the population's "actual" value. The data are less representative of the population the higher the inaccuracy.

In the given test,

The p-value = 0.24

Level of significance (a) = 0.10

Here,

0.24 > 0.10

P-value > level of significance

Therefore, We failed to reject the null hypothesis that is actually false

This is type II error,

The type II error occurs when one fails to reject a null hypothesis that is actually false itself.

To know more about statical error, go to link

https://brainly.com/question/28008941

#SPJ4

Answer: Convection

Step-by-step explanation: This is convection as hot air rises as its not heavy then sinks as it cools because cool air is heavier than warm air. I hope this helps you.

Answer:

convection

Step-by-step explanation:

Answer:

9) choice 1) pentagon

10) choice 2) rectangle

11) choice 4) 2 and 3

12) choice 2) they are similar because 7/5 = 21/15

13) choice 2) the triangle

14) choice 1

Step-by-step explanation:

The bicycle manufacturer is studying the reliability of its models and analyzing the probability of defects. They found the probability of a brake defect is 4 percent and the probability of both brake and chain defects is 1 percent.

Given that the probability of a defect with brakes or chain is 6 percent, we can find the probability of a chain defect using the formula: P(A and B) = P(A|B) * P(B), where P(A and B) is the probability of both events A and B occurring, P(A|B) is the probability of event A occurring given that event B has occurred, and P(B) is the probability of event B occurring.

In this case, we want to find the probability of a chain defect given that there is a defect with either the brakes or the chain. Let's use the events: A = brake defect, B = chain defect, From the problem statement, we know that: P(A) = 0.04 (probability of a brake defect), P(A and B) = 0.01 (probability of both a brake defect and a chain defect)
P(A or B) = 0.06 (probability of a defect with the brakes or the chain).

To find P(B|A or B), we can use the formula: P(B|A or B) = P(A and B) / P(A or B) = 0.01 / 0.06, = 1/6, = 0.1667, So the probability of a chain defect given that there is a defect with either the brakes or the chain is 16.67%, or approximately 2/12 or 1/6.

Therefore, the correct answer is option 2: 2%, Solving for the probability of a chain defect, we get: P(chain defect) = 0.06 - 0.04 + 0.01 = 0.03, So, the probability of a chain defect is 3 percent.

To know more about probability click here

brainly.com/question/15124899

#SPJ11

V'(t) = -250(1-(1/40)t)

If we know the time, we can plug in the value for "t" in the above derivative and find how much water drained for the given point of t.

Given:

V =2000( 1- (1/40)t)^2   , where 0≤t≤40.

Here we have to find the derivative with respect to "t"

We have to use the chain rule to find the derivative.

V'(t) = 2 (2000)(1- (1/40)t)d/dt(1- (1/40)t)

V'(t) = 2(2000)(1-(1/40)t(-1/40)

When we simplify the above, we get

V'(t) = -250(1-(1/40)t)

If we know the time, we can plug in the value for "t" and find how much water drained for the given point of t.

learn more about of volume here

https://brainly.com/question/14020302

#SPJ4

The fraction of the entire square that is shaded is 2/5.

A square is a two dimensional object that four sides that are of equal length. This means that the dimensions of the length and the width have the same value. A square has two diagonals that bisect each other at 90°.

A fraction is a non-integer that has a numerator and a denominator. The numerator is the number above and the denominator is the number below. An example of a fraction is 1/2.

Fraction = number of shaded squares / total number of squares

16 / 40

When expressed in its simplest form, the fraction becomes 2/5.

To learn about squares, please check: https://brainly.com/question/9030544

#SPJ1