(15 POINTS) A student is chosen at random from a school. Why are the events "choosing a student of age group 5−10" and "choosing a student of age group 11−15" mutually exclusive?
a) They are independent.
b) They are dependent.
c) A student can belong to only one age group.
d) A student can belong to both the age groups.

Answers

Answer 1
they would indepedent a
Answer 2
In probability, you study the chances, odds or likelihood of the event occurring. This is determined by dividing the number of possibilities to the total number of events. But terms may come up such as 'mutually exclusive'. Suppose, event A is for students ages 5-10, while event B is for students ages 11-15. The events A and B are said to be mutually exclusive when they do not intersect or meet at some point. In other words, when a student is in group A, he cannot be in group B because that becomes invalid and untrue. That seems logical because a student cannot be both 6 years old and 12 years old, right?

Hence, the answer to this question is letter C.

Related Questions

A certain forest covers an area of 2500 km2. Suppose that each year this area decreases by 5.25%. What will the area be after 15 years?

Use the calculator provided and round your answer to the nearest square kilometer.

Answers

The area will be
2500(1-5.25/100)^15
=1113km2 (nearest square kilometer)

If 20 is 20% of 20% of an integer what is that integer

Answers

n(20/100)(20/100)=20

400n/10000=20

400n=200000

n=500
the integer is 500 because 20 % of 500 is 100 and 20% of 100 is 20

A flat-screen television has a rectangular screen that is 29 inches high and 32 inches wide. What is the surface area of the screen?

A. 120 sq. in.
B. 60 sq. in.
C. 784 sq. in.
D. 928 sq. in.

Answers

multiply height by width

29 x 32 = 928 sq in

The tides around Cherokee Bay range between a low of one foot to a high of 5 feet. The tide is at its lowest point when time, t, is 0 and completes a full cycle over a 24 hour period. What is the amplitude, period, and midline of a function that would model this periodic phenomenon

A. Amplitude = 4 feet; period = 24 hours; midline: y = 3

B. Amplitude = 2 feet; period = 12 hours; midline: y = 2

C. Amplitude = 2 feet; period = 24 hours; midline: y = 3

D. Amplitude = 4 feet; period = 24 hours; midline: y = 2

Answers

Answer:

its C

Step-by-step explanation:

Write the product as a trinomial.(k – 1)(k – 4)

Answers

(k - 1)(k - 4)

Use FOIL to solve this.

First
k * k
Outer
k * -4
Inner
-1 * k
Last
-1 * -4

k^2 - 4k - 1k + 4

k^2 - 5k + 4 is the trinomial.

Given that x = 7, write an equation that contains two different equivalent expressions each including at least one variable (x) and the operations: addition, subtraction, multiplication, and division.

Answers

Well here are two equivalent different expressions of my making that you could use for this question.

f(x) = 2x - 7
g(x) = 3x - 28 / 2

When x = 7, these two different expressions will equate to the same value of 7. If you meant something else let me know, otherwise this is what you should put for your essay-question.

The regular price of a child's entry ticket to a water park is $6 less than that for an adult's. The park offers half off all entry tickets during the off-peak season. The Sandlers paid a total of $78 for 1 adult ticket and 2 child's tickets to the water park during the off-peak season. The following equation represents this situation, where x represents the regular price of an adult ticket: 78 = one-half x + (x − 6)

Answers

let the price of adult's ticket be [tex]x[/tex]
the expression for the child's ticket is [tex]x-6[/tex]

The price of adult's ticket during off-peak season is [tex] \frac{1}{2}x [/tex]
The price of child's ticket during off-peak season is [tex] \frac{1}{2}(x-6) [/tex]

The total cost paid by The Sandlers is $78
The equation is [tex]78= \frac{1}{2}x- \frac{1}{2}(2(x-6)) [/tex] = [tex] \frac{1}{2}x+(x-6) [/tex]

rearranging to solve the equation
[tex]78= \frac{1}{2}x+x-6 [/tex]
[tex]78= \frac{3x}{2} -6[/tex]
[tex]78+6= \frac{3x}{2} [/tex]
[tex](84)(2)=3x[/tex]
[tex] \frac{168}{3} =x[/tex]
[tex]x=56[/tex]

The price of one adult's ticket is $56 (normal price) and the price of one child's ticket is $50

The blueprint for landscaping a yard has a scale of 1/2" to 1 foot. If the blueprint is a rectangle 18 inches by22 inches, what are the dimensions of the yard? If u find the answer please explain how you got it that would be very helpful

Answers

Set it up as a ratio with bp on top for blueprint and actual on the bottom for the actual measurements of the yard.  I'll do 2 of them since there are 2 dimensions they are looking for.  Set it up like this:
[tex] \frac{bp}{actual} : \frac{.5"}{1ft} = \frac{18"}{xft} [/tex]
Now cross multiply to get the first dimension: .5x = 18 and x = 36. Do the same with the other dimension of the yard:
[tex] \frac{bp}{actual}: \frac{.5"}{1ft} = \frac{22"}{xft} [/tex]
and cross multiply to solve for that dimension: .5x = 22 and x = 44. So the dimensions of the actual yard are 36x44 ft

What is the value of x in the isosceles trapezoid below

Answers

Opposite angles of an isosceles trapezoid add up to 180.
(That graphic is very blurry.  I hope I can read it correctly.)
14x + 3x + 10 = 180
17x = 170
x = 10



Answer:

X=10

Step-by-step explanation:

In order to solve this problem you just have to remember that in rectangles and trapezoids opposite angles are suplemmentary, in this case you can equal those to 180º, your equation would be:

[tex]14x+3x+10=180\\17x+10=180\\17x=180-10\\[/tex]

[tex]17x=170[/tex]

[tex]x=\frac{170}{17}[/tex]

[tex]x=10[/tex]

So the answer is X equals to 10.

5. Reflection: Marissa wants to describe the relationship between the scale factor and perimeter of an image and its pre-image and between the scale factor and area of an image and its pre-image. What should she say about the relationship between the scale factor and perimeter of an image and its pre-image? What should she say about the relationship between the scale factor and area of an image and its pre-image? Support her statements using scale factors of 5 and 6.

Answers

Relationship between the scale factor and perimeter of an image and its pre-image?

Scale factor = k

Pre-image lengths: a, b => perimeter = 2a + 2b

Image lenghts: ka, kb => perimeter = 2ka + 2 kb = k (2a + 2b) = 2 * preimage permeter.

=> She has to say that the perimeter of the image is the perimeter of the preimage times the same scale factor.

What should she say about the relationship between the scale factor and area of an image and its pre-image?

area of the pre-image = ab

are of the image = (ka)(kb) = k^2 (ab)

=> The area of the image is the area of the preimage times the square of the scale factor.

 Support her statements using scale factors of 5 and 6.

Scale factor 5

length of the pre-image = 3 x 4 => perimeter = 2 (3 + 4) = 2(7) = 14

length of the image = 3*5 x 4*5 = 15 x 20 => perimeter = 2 (15 + 20) = 2 (35) = 70

=> 14 * 5 = 70 which shows the prediction

area of the pre-image = 3 * 4 = 12

area of the image = 15 * 20 = 300

12 * (5^2) = 12*25 = 300 which is the value predicted.

Now you can do the same using scale factor 6.

If a stimulus plus a response results in a satisfying outcome, the probability of that response occurring again ________.

Answers

The answer in the space provided is increases. It is because when the stimulus and response produce a satisfying outcome, it is likely that the probability of the response to occur again increases because the response that has been made had given an appropriate outcome, which could cause it to happen again because it is satisfactory, making its probability to increase.
Final answer:

In terms of operant conditioning, if a response to a stimulus results in a satisfying or rewarding outcome, the probability of the response recurring to that stimulus in the future increases. Conditioning behavior is controlled by their consequences.

Explanation:

If a stimulus plus a response results in a satisfying outcome, the probability of that response occurring again increases. This concept is central to the idea of operant conditioning in behavioral psychology. Operant conditioning is a type of learning where behavior is controlled by consequences. If the response to a stimulus results in a rewarding or satisfying outcome, this acts as positive reinforcement.

In operant conditioning, when a response yields a rewarding outcome (reinforcement), the likelihood of the behavior recurring in the future is increased. Take, for instance, the case of a dog that has learned if it sits when commanded, it receives a treat. The command ('Sit') is the stimulus, sitting is the response, and receiving a treat is the reinforcement. This scenario typically increases the likelihood of the dog sitting when given the command in the future.

Learn more about Operant Conditioning here:

https://brainly.com/question/13044823

#SPJ12

Final answer:

In terms of operant conditioning, if a response to a stimulus results in a satisfying or rewarding outcome, the probability of the response recurring to that stimulus in the future increases. Conditioning behavior is controlled by their consequences.

Explanation:

If a stimulus plus a response results in a satisfying outcome, the probability of that response occurring again increases. This concept is central to the idea of operant conditioning in behavioral psychology. Operant conditioning is a type of learning where behavior is controlled by consequences. If the response to a stimulus results in a rewarding or satisfying outcome, this acts as positive reinforcement.

In operant conditioning, when a response yields a rewarding outcome (reinforcement), the likelihood of the behavior recurring in the future is increased. Take, for instance, the case of a dog that has learned if it sits when commanded, it receives a treat. The command ('Sit') is the stimulus, sitting is the response, and receiving a treat is the reinforcement. This scenario typically increases the likelihood of the dog sitting when given the command in the future.

Learn more about Operant Conditioning here:

https://brainly.com/question/13044823

#SPJ12

Solve for x. 12x = 2x^2 + 18

A. x = –3
B. x = 3
C. x = –3 or x = 0
D. x = 0 or x = 3

Answers

2x^2-12x+18=0

Factor out GCF
2(x^2-6x+9)

Factor trinomial
(x-3)(x-3)

Proof
-3-3=-6
-3^2=9

Zeros
x-3=0
x=3

Final answer: B

what percentage is $7,360 of $78,000

Answers

I'd say 7.360 / 78.000 * 100 = 9,4359 % 

divide 7360 by 78000


7360/78000 = 0.943589

 = 9.44%


The graph below represents the amount of change Jaxon would receive, y, if he bought a item with a cost of x.


Which equation represents the graph?
y = 10 – x
y = x – 10
y = –x – 10
y = 10 + x

Answers

The line crosses the y axis at positive 10
The line is going down when you go from left to right so there must be a - before the x

The answer is A

Answer:  The correct option is (A) [tex]y=10-x.[/tex]

Step-by-step explanation:  The given graph represents the amount of change Jaxon would receive 'y' if he bought a item with a cost of 'x'.

We are to select the correct equation that represents the graph.

We notice from the graph that it is a straight line and the points (0,10) and (10, 0) lies on the line.

The slope of a straight line passing through the points (a, b) and (c, d) is given by

[tex]m=\dfrac{d-b}{c-a}.[/tex]  

So, the slope of the given line is

[tex]m=\dfrac{0-10}{10-0}\\\\\\\Rightarrow m=-1.[/tex]

Since the line passes through the point (10, 0), therefore the equation of the line representing the graph is

[tex]y-10=m(x-0)\\\\\Rightarrow y-10=-1(x-0)\\\\\Rightarrow y-10=-x\\\\\Rightarrow y=10-x.[/tex]

Thus, the required equation is [tex]y=10-x.[/tex]

Option (A) is CORRECT.

PLEASE HELP IM IN A HURRY

Answers

It's 48 cube feet I can show you how, just ask

How to find the distance between two points using pythagorean theorem?

Answers

a^2 + b^2 = c^2
c is the hypotenuse and is always the longest side of a triangle
a and b can be any side that isn't the hypotenuse

A circle has what type of symmetry?

Answers

a circle has infinite lines of symmetry... if this helps
can reflect symmetrically along x, y axis and origin

Answer:

Point of symmetry

Step-by-step explanation:

The circle is moves at the same distance from the center of the circle. Therefore, the circle is symmetrical around a single point.

Hope this will helpful.

Thank you.

A car uses an average of 8 litres of fuel for every 100 km travelled. At this rate, how many litres would the car use to travel 250 km?

Answers

Final answer:

The car would use 20 litres to travel 250 km.

Explanation:

To determine the number of litres the car would use to travel 250 km, we can set up a proportion using the average fuel consumption rate of 8 litres per 100 km:



8 litres / 100 km = x litres / 250 km



To solve for x, we can cross-multiply and then divide:



x litres = (8 litres * 250 km) / 100 km



x litres = 20 litres



Therefore, the car would use 20 litres to travel 250 km.

Final answer:

The car would use 20 liters of fuel to travel 250 km.

Explanation:

To determine how many liters of fuel the car would use to travel 250 km, we can set up a proportion using the given information:

8 liters  ÷ 100 km = x liters  ÷ 250 km

Cross multiplying, we get:

x = (8 liters × 250 km) ÷ 100 km

x = 2000 liters ÷ 100 km

x = 20 liters

Therefore, the car would use 20 liters of fuel to travel 250 km.

Question 12 the length of a rectangle is three times its width. if the perimeter of the rectangle is 40 m , find its area.

Answers

Let the width be x.

Length = 3x

Perimeter = 40 

2*(L + W) = 40

L + W = 20

3x + x = 20

4x = 20

x = 5

Hence, 

Length = 15 m

Width = 5 m

Area = L*W = 15 * 5 = 75 sq. m

Answer:

The area of the rectangle is 75 squared meters.

Step-by-step explanation:

Width of the rectangle = w

Length of the rectangle = l = 3w

Perimeter of the rectangle = P = 40 m

Perimeter of the rectangle = 2(l+w)

[tex]2(l+w)=40 m[/tex]

[tex]2(3w+w)=40 m[/tex]

[tex]8w=40 m[/tex]

[tex]w=\frac{40 m}{8}=5 m[/tex]

[tex]l=3w=3\times 5 m=15 m[/tex]

The area of the rectangle ,A= l × w

[tex]A = 5 m\times 15 m = 75 m^2[/tex]

The area of the rectangle is 75 squared meters.

list the sides of triangle WXY in order from smallest to largest

Answers

The answer is c. WX, XY, YW because yw is obviously the longest side because the angle is opposite is the biggest.  Then the next longest is XY because the angle opposite is 51 which is larger than the other angle which would be 49.

The sides of triangle WXY can be listed from smallest to largest as YW, WX, XY, by matching the side lengths to a set of Pythagorean triplets (5, 12, and 13 cm). This corresponds to option A of the provided choices.

To list the sides of triangle WXY in order from smallest to largest, we can use the Pythagorean theorem which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

According to the given information, we have two right triangles with sides 5 cm, 12 cm, and 13 cm.

Recognizing these are Pythagorean triplets, where 5 and 12 are the legs and 13 is the hypotenuse, it indicates that the side measures 13 cm is the longest side, followed by the 12 cm side, and then the 5 cm side is the shortest.

Therefore, if we match these lengths to the sides of triangle WXY, we can list the sides from smallest to largest based on their corresponding lengths, with the assumption XY matches the 13 cm side (as it is not specified and must be inferred).

The correct listing of triangle sides from smallest to largest would be: YW, WX, XY. This correlates to option A in your list.

The probable question may be:

list the sides of triangle WXY in order from smallest to largest

A. YW, WX, XY

B. XY, YW,WX

C. WX,XY,YW

D. XY, WX,YW

If H(x)=4x^2-16 were shifted 9 units to the right and 1 down, what wold be the new equation?

A. H(x)= 4(x+9)^2-17
B. H(x)= 4(x-7)^2+16
C. H(x)= 4(x-17)^2-9
D. H(x)= 4(x-9)^2-17

Answers

to move  a function c units to the right, minus c from every x
to move a function c units up, add c to the whole function

so

we want 9 to the right and 1 down
basically we need to find f(x-9)-1  (-1 is up -1 units)
f(x-9)-1=4(x-9)²-16-1
f(x-9)=4(x-9)²-17


answer is D

Answer: H(x)=4(x-9)^2-17

Step-by-step explanation:

A horse owner has 50 lbs of hay that is 6% protein by weight. He adds x lbs of oats that is 12% protein by weight.
The function y=.06(50)+.12x/50+x
models the percent of protein, y, in the final mixture of feed. What is the y-intercept of the function that models the percent of protein in the final mixture?
y-intercept=

Answers

Answer:

y-intercept = 0.06 = 6%

Step-by-step explanation:

As per the statement:

A horse owner has 50 lbs of hay that is 6% protein by weight. He adds x lbs of oats that is 12% protein by weight.

Given the function:

[tex]y = \frac{0.06(50)+0.12x}{50+x}[/tex]

where, y represents the percent of protein in the final mixture of feed.

We have to find  y-intercept of the function that models the percent of protein in the final mixture.

Y-intercept:

Substitute x = 0 and solve for y:

then;

[tex]y = \frac{0.06(50)+0.12(0)}{50+0}=\frac{0.60 \cdot 50}{50}[/tex]

⇒[tex]y = 0.06 =6\%[/tex]

Therefore, the y-intercept of the function that models the percent of protein in the final mixture is, 6%

Answer:

.06

Step-by-step explanation:

A company is about to launch a new cell phone model. In the past, 40% of its cell phones have launched successfully. Before any cell phone is launched, the company conducts market research and receives a report predicting favorable or unfavorable sales. In the past, 70% of successful cell phones and 20% of unsuccessful cell phones received favorable reports. What is the probability that the new cell phone will receive a favorable report, given that the cell phone launch is successful?

Answers

There is a 70% chance that te phone will receive a favorable report.

Answer:

The required probability is 0.70.

Step-by-step explanation:

Let A represents the event of launching successfully, B represents the event of receiving favourable reports,

Given,

Probability of successful launching,

[tex]P(A)=40\%=\frac{40}{100}=0.40[/tex]

Also, 70% of successful cell phones are received favorable reports.

[tex]\implies P(A\cap B)=70\%\text{ of P(A)}=\frac{70\times 0.40}{100}=0.28[/tex]

Thus, by the conditional property,

The probability that the new cell phone will receive a favorable report, given that the cell phone launch is successful,

[tex]P(\frac{B}{A})=\frac{P(A\cap B)}{P(A)}=\frac{0.28}{0.40}=0.70[/tex]

If you buy something at a 20% discount off the listed price of $ 97, but pay a sales tax of 10% after the discount is applied, how much do you end up paying? $

Answers

$85.36 is the correct answer

At a local community​ college, it costs ​$450 to enroll in a morning section of an algebra course. Suppose that the variable n stands for the number of students who enroll. Then 450n stands for the total amount of money collected for this course. How much is collected if 38 students​ enroll? 90 ​students? 280 ​students?

Answers

38= 17,100
90= 40,500
280= 126,000

Find the 3rd term of (a-3b)^6

Answers

The answer for this question would be: -540a^3 b^3

In triangle $abc$, the measure of $\angle a$ is $86$ degrees. the measure of $\angle b$ is $22$ degrees more than three times the measure of $\angle c$. what is the measure, in degrees, of $\angle c$?

Answers

Given:
m∠A = 86°

Because the measure of angle B is 22 degrees more than three times the measure of angle C, therefore
m∠B = 3*m∠C + 22                 (1)

The sum of the angles should be 180°, therefore
m∠A + m∠B + m∠C = 180       (2)

Note that m∠A = 86°
Substitute equation (1) for m∠B in equation (2) to obtain.
86 + (3*m∠C + 22) + m∠C = 180
86 + 3*m∠C + 22 + m∠C = 180
4*m∠C = 180 - 86 - 22 = 72
m∠C = 72/4 = 18°

Answer:  m∠C = 18°

The total cost to rent a row boat is $16 times the number of hours the boat is used. write an equation to model this situation if c = total cost and h = number of hours.answers

Answers

The equation is as follows

c = 16h

Sam studied guinea pigs for his science fair project. He found that the amount of weight the guinea pigs gained varied directly with the number of calories they consumed. The guinea pigs gained 1 ounce for every additional 218 calories in their diet. How many additional ounces would they gain if their diet was increased by 1,090 calories? Let W represent the weight in ounces, and let C represent the number of calories.

Answers

From the given above, we can formulate the equation:

W = C / 218

By substituting the given values:

W = 1090 calories / (218 calories / 1 ounce)

W = 5 ounce

Therefore the guinea pigs will gain additional 5 ounce if the diet was increased by 1090 calories.

A)7/25
B)24/25
C)25/7
D)25/24
PLEASE HELP ME !!

Answers

It's B since sin is opposite divided by hypotenuse, so find the hypotenuse by using pythag therom and you will get 25, divide opposite of angle C which is 24 by hypotenuse which is 25
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