120 students in a fifth grade class are surveyed about what kinds of pets they have. Of the 120 students,
30 have a goldfish, 40 have a mouse, and 10 have a goldfish and a mouse. Using this information, answer
each of the following questions.
Let G be the event that a randomly selected student has a goldfish and M be the event that a randomly
selected student has a mouse.
What is P(G), the probability that a student in the class has a goldfish?
What is P(M), the probability that a student in the class has a mouse?
What is P(G and M), the probability that a student in the class has a goldfish and a mouse?
What is PG or M), the probability that a student in the class has a goldfish or a mouse?

Answers

Answer 1

Answer: P(G) = 1/4

P(M) = 1/3

P(G and M) = 1/12

P(G or M) = 1/2

Step-by-step explanation:

Answer 2
The probability that a student in the class has a goldfish = 1/4The probability that a student in the class has a mouse is 1/3The probability that a student in the class has a goldfish and a mouse is 1/12The probability that a student in the class has a goldfish or a mouse is 1/2

What is Probability?

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

Given:

Total Students Surveyed = 120

30 have a goldfish, 40 have a mouse, and 10 have a goldfish and a mouse.

First, the the probability that a student in the class has a goldfish

P(G) = 30/ 120

        = 1/4

second, the probability that a student in the class has a mouse

P(M) = 40/120

       =  1/3

Third, the probability that a student in the class has a goldfish and a mouse

P(G and M) = 1/4 x 1/3

                  =  1/12

Fourth  the probability that a student in the class has a goldfish or a mouse

P(G or M) = P(G)+ P(M) - P( G and M)

                = 1/3+ 1/4 - 1/12

                = 6/12

                = 1/2

Learn more about Probability here:

https://brainly.com/question/11234923

#SPJ5


Related Questions

which equation represents a circle with a center at (-3,5) and a radius of 6 units

Answers

Answer:

(x+3)^2 +(y-5)^2 = 36

Step-by-step explanation:

We can write the equation of a circle as

(x-h)^2 +(y-k)^2 = r^2  where (h,k) is the center and r is the radius

(x- -3)^2 +(y-5)^2 = 6^2  

(x+3)^2 +(y-5)^2 = 36

Trina uses One-half cup of sugar and Three-fourths cup of flour in a recipe. How many cups of sugar would she need if she uses 3 cups of flour?

Answers

Answer:

2 cups

Step-by-step explanation:

Answer: 4 1/2 cups of sugar

Step-by-step explanation: Math

What is the area of this figure

Answers

Given:

Image of the figure.

To find:

The area of the figure.

Solution:

Length of larger rectangle = 9

Width of larger rectangle = 8

Area of larger rectangle = length × width

                                        = 9 × 8

Area of larger rectangle = 72 square units

Length of smaller rectangle = 4

Width of smaller rectangle = 2

Area of smaller rectangle = length × width

                                           = 4 × 2

Area of smaller rectangle= 8 square units

Area of the figure = Area of larger rectangle - Area of smaller rectangle

                              = 72 - 8

                              = 64 square units

The area of the figure is 64 square units.

please help me find the answer to this problem

Answers

Answer:

13.5

Step-by-step explanation:

6 + 3 = 9

9 × 3 = 27

27 ÷ 2 = 13.5

brainliest?

Can someone answer this question please answer it correctly if it’s corect I will mark you brainliest

Answers

Answer:

3

Step-by-step explanation:

A right triangle has a hypotenuse of square root of 50. ​ What are possible lengths of the two legs of this triangle?

Answers

For 45-45-90 degree triangle

The length of other two legs: 5

For 30-60-90 degree triangle

The shorter leg= 3.53

The larger leg = 6.11

Step-by-step explanation:

length of Hypotenuse = [tex]\sqrt{50}[/tex]

We need to find possible lengths of the two legs of this triangle.

If the triangle is 45-45-90 degree triangle the length of other two sides would be same and can be found by:

[tex]Length\,\,of\,\,leg:\frac{\sqrt{50} }{\sqrt{2} } \\Length\,\,of\,\,leg:5[/tex]

Since both legs are of same size so, length of other leg = 5

If the triangle is 30-60-90 degree triangle then:

To find shorter length: Divide hypotenuse by 2.

To find other side length: Multiply shorter length by [tex]\sqrt{3}[/tex]

The shorter leg = [tex]\frac{\sqrt{50} }{2}= 3.53[/tex]

The other leg (larger) = [tex]3.53\times \sqrt{3} =6.11[/tex]

Choose the best description for the real number 4 point 6 repeating

Answers

Answer:

irrationanal

Step-by-step explanation:

What does the line on the bottom of the following signs mean? ≥ ≤

Answers

Answer:

Step-by-step explanation:

Equal to or less than

Answer: I hope this helps. Mark me brainlist

Step-by-step explanation:

The symbol ≤ means less than or equal to. The symbol ≥ means greater than or equal to.The notation a ≤ b or a ⩽ b means that a is less than or equal to b (or, equivalently, at most b, or not greater than b). The notation a ≥ b or a ⩾ b means that a is greater than or equal to b (or, equivalently, at least b, or not less than b).The five inequality symbols in Maths are greater than symbol (>), less than symbol (<), greater than or equal to symbol (≥), less than or equal to symbol (≤), and not equal to symbol (≠).

Jules kicks a soccer ball off the ground and into the air with an initial velocity of 25 feet per second. Assume the starting height of the ball is 0 feet. Approximately how long does it take until the soccer ball hits the ground again? (1 point)

Group of answer choices

0.6 sec

0.8 sec

1.6 secs

2.8 secs

Answers

Answer:

the answer is 1.6 seconds

Step-by-step explanation:

Line ABC is a straight line.

Line A B is a straight line. Line B comes out of the line to form angles 1 and 2.

Which describes the relationship between Angle 1 and Angle 2?
Angle 1 and Angle 2 are complementary angles.
Angle 1 and Angle 2 are supplementary angles.
Angle 1 and Angle 2 are vertical angles.
Angle 1 and Angle 2 are acute angles.

Answers

Answer:

B: supplementry angles

Step-by-step explanation:

Answer: Angle 1 and Angle 2 are supplementary angles.

Step-by-step explanation:

reflection across the x-axis
K(1, −1), N(4, 0), Q(4, −4)

Answers

The reflection across the x-axis changes the y-coordinate to its opposite. Thus, K(1, −1) becomes K(1, 1), N(4, 0) doesn't change, and Q(4, −4) becomes Q(4, 4).

The question's task is a reflection across the x-axis. This change involves flipping the coordinates in the plane over the x-axis. For a given point with coordinates (x, y), its reflection will have coordinates (x, -y). Let's apply this rule to the points given:

K(1, −1) will become K(1, 1)

N(4, 0) will remain N(4, 0) because it lies on the x-axis

Q(4, −4) will become Q(4, 4)

So, the reflected coordinates are K(1, 1), N(4, 0), Q(4, 4).

Learn more about Reflection here:

https://brainly.com/question/35488777

#SPJ2

What is the MAD for tamika: (10, 9, 5, 20, 12, 4) points in tmr basketball game

Answers

Answer:

4

Step-by-step explanation:

Ann has some dimes and quarters. If she has 13 coins worth a total of $2.50, how many of each type of
coin does she have?

Answers

Answer:

2 quarters and 5 dimes

Step-by-step explanation:

2 quarters equal to $2

5 dimes = 50 cents

add them and get $2.50

solve 5=625e^{0.02x}

Answers

Answer:

x=-150ln(5)

this should be the answer

Which of these equations has a y-intercept of 4?

A. y=x+4
B. y=x-4
C. y=4x
D. y+4=x

Answers

Answer:

A

Step-by-step explanation:

Since A is already in slope intercept form, we know that the b value is already in the correct place.

y = mx + b

In slope intercept form, the b is the y int.

Thank me later :)

Answer:

Option A, y = x + 4

Step-by-step explanation:

Step 1:  Determine which option is correct

y = mx + b

m is the slope while b is the y-int

So... the equation with a 4 for b should be the correct answer.

Option A states the following:  y = x + 4

This shows that the y-int is 4 and the slope is 1.  So, this answer is correct.

Answer:  Option A, y = x + 4

Kesha threw her baton up in the air from the marching band platform during practice. The equation h(t) = −16t² + 54t + 40 gives the height of the baton, in feet, t seconds after it is thrown from the platform. What is the height of the platform? At what speed was the baton thrown? If she doesn't catch it, when will it hit the ground?

Answers

Answer:

(a)Height of the platform=40 feet

(b)Initial Velocity=54 ft/sec

(c)4 seconds

Step-by-step explanation:

The equation [tex]h(t) = -16t\² + 54t + 40[/tex] gives the height of the baton, in feet, t seconds after it is thrown from the platform.

(a)Height of the platform

The Height of the platform is the height at which t=0

[tex]h(0) = -16(0)\² + 54(0) + 40[/tex]

Height of the platform=40 feet

(b)To determine the speed at which the baton was thrown, we find the velocity, v(t).

[tex]v(t)=\frac{dh}{dt} =\frac{d}{dt} (-16t\² + 54t + 40)=-32t+54\\$At t=0\\v(0)=-32(0)+54=54 feet/sec[/tex]

(c)The baton will hit the ground when its height, h(t)=0

[tex]-16t\² + 54t + 40=0\\\text{Solving the quadratic formular}\\t = \frac{-54\pm \sqrt{(-54)^2 - 4*40*(-16)} }{2*-16}\\= \frac{-54\pm \sqrt{5476 }}{-32}\\= \frac{-54\pm 74}{-32}\\t=\frac{-54+ 74}{-32},\frac{-54- 74}{-32}\\t=-0.625\:or \:t=4[/tex]

Since -0.625 is not valid, the baton will hit the ground 4 seconds after it is thrown.

(1 point)
2. You have made 3 out of 10 of your last free throws. How many free throws can you expect to
make if you shoot 100 free throws?
30
50
60
75

Answers

Answer:

30

Step-by-step explanation:

Answer:

30.

Step-by-step explanation:

10 x 10= 100, 3 x 10 = 30.

therefore, you should make 30 free throws

(HURRY PLEASE) What is the rate of change of the function represented by the table?

Answers

Answer:2.5

Step-by-step explanation:

Answer:

2.5

Step-by-step explanation:

y values are getting less negative so ROC has to be positive. numbers are not going up by 1. They are going up by 2.5

What is the surface area of the prism in square inches? A prism is made up of 3 rectangles and 2 triangles. A rectangle has base of 12 and height of 10. A rectangle has base of 10 and height of 13. A rectangle has base of 10 and height of 5. 2 triangles have a base of 12 inches and height of 5 inches. 300 square inches 360 square inches 390 square inches 460 square inches

Answers

Correct option B) 360 square inches .

Step-by-step explanation:

Here we have , A prism is made up of 3 rectangles and 2 triangles. A rectangle has base of 12 and height of 10. A rectangle has base of 10 and height of 13. A rectangle has base of 10 and height of 5. 2 triangles have a base of 12 inches and height of 5 inches.  We need to find What is the surface area of the prism in square inches . Let's find out:

3 rectangles and 2 triangles

A rectangle has base of 12 and height of 10 :

⇒ [tex]Area = length(width)[/tex]

⇒ [tex]Area =12(10)[/tex]

⇒ [tex]Area =120[/tex]

A rectangle has base of 10 and height of 13

⇒ [tex]Area = length(width)[/tex]

⇒ [tex]Area =13(10)[/tex]

⇒ [tex]Area =130[/tex]

A rectangle has base of 10 and height of 5

⇒ [tex]Area = length(width)[/tex]

⇒ [tex]Area =5(10)[/tex]

⇒ [tex]Area =50[/tex]

2 triangles have a base of 12 inches and height of 5 inches.

⇒ [tex]Area = \frac{1}{2}base(height)(2)[/tex]

⇒ [tex]Area =12(5)[/tex]

⇒ [tex]Area =60[/tex]

Hence , Total Area :

⇒ [tex]120+130+50+60[/tex]

⇒ [tex]360in^2[/tex]

Correct option B) 360 square inches .

If mAngle3 = 29°, what is mAngle4?
mAngle4 =
°

Answers

Answer:

M angle=151

Step-by-step explanation:

180-29=151

Answer:

Angle M 4 = 151 degrees

Step-by-step explanation:

i just did the practice on edge :) its funny how since we're all in quarantine doing edge everyone is helping each other out on sites and apps like this yanno.. it makes me kinda happy that we can all come together like we are ahaha

Which statements are true? Check all that apply
mCB = 120°
MCB = 60°
mZCOB = 2(m_CAB)
m_COB = 120
mzCOB = 1 (m_CAB)
600

Answers

Answer:

A,C,D

Step-by-step explanation:

Snap

Jona_Fl16

The correct statements are mCB = 120°, m∠COB = 2(m∠CAB), m∠COB = 120°

What is a circle?

A circle is the locus of a point such that its distance from a fixed point known as the center is always constant.

From the diagram:

mCB = 2 * m∠CAB (angle at center is twice angle at circumference)

mBC = m∠COB = 2(60) = 120°

The correct statements are mCB = 120°, m∠COB = 2(m∠CAB), m∠COB = 120°

Find out more on circle at: https://brainly.com/question/24375372

10 POINTS!!
What is the length of side PQ in this figure?

Answers

Answer:

C

Step-by-step explanation:

o find the side PQ ; we need to first find the length of the given line segment which is perpendicular to side PR; let name it as QS.

Now as ΔQSR is an right angled triangle.

and the length of the side QR and SR is given , so using Pythagorean theorem we have

QR^{2}=SR^{2}+QS^{2}

5^{2}=3^{2}+QS^{2}\\ \\QS^{2}=5^{2}-3^{2}\\\\QS^{2}=25-3=16=4^2

⇒  QS=4

Now again ΔQSP is an right angled triangle; so using Pythagorean theorem in ΔQSP we have

PQ^{2}=QS^{2}+PS^{2}\\ \\PQ^{2}=4^{2}+6^{2}=16+36=52

This means QS=\sqrt{52}=2\sqrt{13}

Hence, the length of side PQ is \sqrt{52}=2\sqrt{13}.

Hence, option C is correct.

plz mark brainliest

Answer:

C

Step-by-step explanation:

I just got it right

Help please ^^ I am confused

Answers

Answer:

180

Step-by-step explanation:

4 x 28 + 64 = 176 round up to 180

A rectangle is always a square? True or false?

Answers

Answer:

False

Step-by-step explanation:

A square is defined as a quadrilateral with 4 congruent sides, but a rectangle is defined as a quadrilateral with 2 pairs of congruent sides, so unless the 2 pairs in a rectangle are the same length, no the rectangle is not a square. However all squares are rectangles.

"A rectangle is always a square" is false statement.

Rectangle:

A rectangle is quadrilateral, in which opposite sides are equal in length and all four angles are equal to 90 degree.

A square is quadrilateral, in which all four sides are equal in length and all four angles are equal to 90 degree.

A square is always a rectangle, but a rectangle is not always a square.

Therefore, given statements is false.

Learn more about the properties of square here:

https://brainly.com/question/1538726

The following histogram summarizes the number of points Nate has scored each game this season.

Answers

Answer:8/25

Step-by-step explanation:

Answer:

[tex]\frac{8}{25}[/tex]

Step-by-step explanation:

Experimental probability = Number of favorable outcomes / Total number of outcomes

Number of favorable outcomes = [tex]8[/tex]

Total number of outcomes = [tex]3+5+8+6+2+1 = 25[/tex]

The probability that Nate scores [tex]8-11[/tex] points next basketball game is [tex]\frac{8}{25}[/tex].

A circle has a center at (4,-1) and a radius of 6. Which of the following that are
points on the circle.
a(-2,-1)
b(4,-9)
c(0, -5)
d(8,-5)

Answers

Answer:

c

Step-by-step explanation:

Laura mowed 8 lawns. She earned $12, $10, $15, $15, $15, $10, and $9 for seven lawns. How much did she earn the eighth time if the mean of the data is $12? *

Answers

Answer:

She earned $10 for mowing the 8th lawn.

Step-by-step explanation:

Let's use the average formula and n = 8, with x representing the 8th score:

                         12 + 10 + 15 + 15 + 15 + 10 + 9 + x

average = 12 = -------------------------------------------------

                                                  8

                                                                              86 + x

Summing up the numerator, we get average = ----------- = 12

                                                                                   8

Multiplying both sides by 8 yields                          86 + x = 96

Solving for x, we get x = 10.

She earned $10 for mowing the 8th lawn.

Answer:

She earned $10 for the eighth yard.

Step-by-step explanation:

You have 7 known numbers and 1 unknown giving you a total of 8 numbers.  When doing mean, you add up all the numbers and divide by the amount of numbers you have (in this case 8).  If you add all the numbers in this particular data set you get 86.  You know that you have to divide by 8 and you need 12 to be the answer.  Using multiplication facts, we know that 96 divided by 8 is equal to 12.  That means the answer must be 10 for the eighth yard because 86+10=96.

What positive integer is closest to the value of √230 ?

Answers

Answer:

15

Step-by-step explanation:

sqrt230=15.165...

Answer:

I believe that it is 15

eight and eleven hundredths as a decimal

Answers

Answer:

this is your answer 8.110

Answer:

8.11

Step-by-step explanation:

is a whole number so it goes in front of the decimal points. eleven hundredths could be written as .110 or.11

HELP PLZZZZ I DONT KNOW

Answers

Answer:

41.5 cm^2

Step-by-step explanation:

The area of the right triangle is

A =1/2 bh  where b = (2+7) and h=(4+7)

  =1/2(9)(11)

    49.5

The area of the rectangle is

A = l*w  where l is 2 and w is 4

A = 2*4 = 8

The shaded region is the area of the triangle minus the area of the rectangle

A shaded = 49.5 - 8 = 41.5

Other Questions
I will mark brainliest !!!! ANSWER PART B PLEASE (: 3(7+10)=G+30 use the distributive property to solve Neutrality is no longer feasible or desirable where the peace of the world is involved and the freedom of its peoples, and the menace to that peace and freedom lies in the existence of autocratic governments backed by organized force which is controlled wholly by their will, not by the will of their people. We have seen the last of neutrality in such circumstances. Which statement best describes the main idea of the paragraph? The difference between subsistence and commercial agriculture URGENT!!! A population of sixteen emu grew to thirty-nine in one year. After two years, the population had grown to forty-eight. The maximum number of emu that the environment can support is approximately sixty due to limited resources such as food and water. The carrying capacity of the emu population is .A. SixteenB. Thirty NineC.Forty eightD. sixty A flexible vessel contains 43L of gas where the pressure is 1.3 atm. What will the volume be when the pressure is 0.61 atm, the temperature remaining constant? Select the correct answer.Karan manages a law firm that deals with the mergers and acquisitions of various businesses. To maintain the confidentiality of such deals,Karan has initiated a monitoring process to review the emails and social network activity of the employees in his office. Which best practiceshould Karan adopt while enforcing this monitoring protocol?A.enlist an external agency to keep an eye on personal visits of empB.split the employees into groups based on their trustworthinessC. perform arbitrary checks on select employees from the officeD.disclose to the employees that their emails will be monitoredE.hire a person to spy on the employees in the office Jamie and Saorise are planning a trip to Europe.They are planning to spend 124 days on holidays, and 31 of them will be in England.What percentage of their holiday will be spent in England? The volume of a right circular cone that has a height of 13 m and a base with a diameter of 3.4 m. Round your answer to the nearest tenth of a cubic meter. A school has two kindergarten classes. There are 21 children in Ms. Toodle's kindergarten class. Of these, 17 are "pre-readers" children on the verge of reading. There are 19 children in Mr. Grimace's kindergarten class. Of these, 13 are pre-readers. Using the plus four confidence interval method, a 90% confidence interval for the difference in proportions of children in these classes that are pre-readers is 0.104 to 0.336. Which of the following statements is correct?A) This confidence interval is not reliable because the samples are so small. B)This confidence interval is of no use because it contains 0, the value of no difference between classes. C)This confidence interval is reasonable because the sample sizes are both at least 5. D) This confidence interval is not reliable because these samples cannot be viewed as simple random samples taken from a larger population. Which ray is opposite of DE? What is the sum of. Suppose 40% of DC area adults have traveled outside of the United States. Nardole wants to know if his customers are atypical in this respect. He surveys 40 customers and finds 60% have traveled outside of the U.S. Is this result a statistically significant difference? The question below is an incomplete sentence. Choose the answer that bestcompletes the sentence.New York didn't have a lot of farms;it was a_________shipping and trading center. A.) instead B.) for exampleC.) soon D.) first Bella plans to put 200 into her savings account. She can place her money into an account represented by p(x)=3x+200 or into another account represented by n(x)=200(1.04)x which account has the highest value in 4 years? Which account has the highest in 15 years? Fairy Tales originated to teach people (childrenspecifically) how to behave, what is right andwrong, and the consequences of not doing so.What is a lesson taught in either Hansel andGretel or Little Snow-White" and statewhether this is something society should beteaching. Be sure to explain your response fully.GO BEYOND THE OBVIOUS ONES SUCH ASLISTEN TO YOUR ELDERS, DON'T BE VAIN,DON'T TRUST STRANGERS. Read the following text. Underline the AR verbs (.6). Write the verb (.6) and the infinitive next to it. (.1) Total 20 Esta mu se llama Juana, no es de aqu. Es espaola y estudia francs. Habla ingls muy bien. Toca guitarra en un grupo y canta. Tambin escucha todo tipo de msica en su mp4. Su mejor amigo se llama Mario. Estudia en Madrid, pero viaja mucho. Ahora est en Ecuador. Ellos siempre pasean por el parque del Retiro los fines de semana y visitan otras ciudades. Namarachi earns a base pay of $2,200 per month. She also earns commission of 4% of her total sales. One month Namarachi earned $2,400. Explain how to find Namarachis total sales for that month. How much were her total sales? what mass of helium is in a 2.00 L balloon at STP? pls help me lol A licensed hazardous waste materials hauler will dispose of used absorbent materials and will provide the proper documentation for your environmental file. A) True B) False