300 students in a high school freshman class are surveyed about what kinds of pets they have. Of the 300
students, 200 have a dog, 180 have a cat, and 150 have a cat and a dog. Using this information, answer
• each of the following questions.
Let D be the event that a randomly selected student has a dog and C be the event that a randomly
selected student has a cat.
What is P(D), the probability that a student in the class has a dog?
What is P(C), the probability that a student in the class has a cat?
What is P(D and C), the probability that a student in the class has a dog and a cat?
What is P(D or C), the probability that a student in the class has a dog or a cat?

Answers

Answer 1

Answer:

Step-by-step explanation:

What is P(D), the probability that a student in the class has a dog?

D=66%

What is P(C), the probability that a student in the class has a cat?

C=60%

What is P(D and C), the probability that a student in the class has a dog and a cat?

DC=50%


Related Questions

The inverse of G(X) is a function.
A. True
B. False

Answers

Answer:

true its just a filp with the y and x and resolved

Step-by-step explanation:

find the length of the line segment whose endpoints are ( 3, -2 ) and ( 5, 4 ) in simplest radical form

Answers

Answer:

2√10

Step-by-step explanation:

The length of this line segment lies along the hypotenuse of a right triangle.  As we go from (3, -2) to (5, 4), the horizontal change is 2, and the vertical change 6.  Apply the Pythagorean Theorem to find the length of the hypotenuse, which is also the line segment in question:

length = √[ 2^2 + 6^2 ] = √[4 + 36] = √40 = √4·√10 = 2√10

What number is 144% of 5.19

Answers

Answer:

7.4736

Step-by-step explanation:

A = 144% of 5.19 means: A = (144/100) x 5.19 =  7.4736

Hope this helps!

The Great Pyramid is an example of a___ a0_____ a1.

Answers

Answer:

Triangular Pyramid

Step-by-step explanation:

A triangular pyramid has 4 triangular sides and a rectangular base

mine was Square, Pyramid

that is what my answer was.

Hope you have a Blessed Day

God is with you.

The population of a small town in central Florida has shown a linear decline in the years 1992-2000. In 1992 the population was 48000 people. In 2000 it was 44880 people.

A) Write a linear equation expressing the population of the town P
P
in terms of t
t
, the number of years since 1992.
Answer: c

B) If the town is still experiencing a linear decline, what will the population be in 2003?

Answers

Answer:

P = -390t +48,000P = 43,710 in 2003

Step-by-step explanation:

A) We are given two pairs of (t, P): (0, 48000), (8, 44880). We can use these with the 2-point form of the equation of a line:

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  P = (44880 -48000)/(8 -0)(t -0) +48000

  P = -3120/8t +48000

  P = -390t +48000

__

B) In 2003, t = 11, so we have ...

  P = -390(11) +48000 = 43710

The population in 2003 is predicted to be 43,710.

What is the definition of an obtuse angle?

Answers

Answer:

an obtuse angle is an angle more than 90 degrees but less than 180 degrees

Step-by-step explanation:

:)

Can someone plz help me solved this problem I need help plz help me! Will mark you as brainiest!

Answers

11 nickels and 10 dimes

Answer:

7 nickels, 12 dimes

Step-by-step explanation:

n+d= 19

5n+10d= 155 ⇒ n+2d= 31

comparing the 2 equations we get

d=12, then n= 7

Find f(-3) if f(x) = x•x

Answers

Answer:

9

Step-by-step explanation:

f(x) = x•x

f(-3) = -3*-3

f(-3)= 9

20

Select the correct answer.

What is the purpose of a FICA tax?

A. It provides health insurance for people who are retired or disabled.

B. It helps the state government finance education projects.

C. It helps local councils finance development projects.

Reset

Next

Answers

Answer:

A. It provides health insurance for people who are retired or disabled.

Step-by-step explanation:

FICA stands for Federal Insurance Contributions Act, which is a law. It is a compulsory tax from the payroll of all employees in the United State to provide health insurance for retired as well as disabled people. It has a definite percentage with no conditional or exemption deductions to assist the government to fund social security and medicare.

This make it possible for the government to cater for the two sects of people  in the society that are registered easily.

The same Honey is sold in two different size jars. Large jar= 540g for £4.10 Small jar= 360g for £2.81. By considering the amount of honey per penny, work out which jar is the best value for money. Working must be shown.

Answers

Answer:

From our calculations the large jar is the best value for money because a penny buys more honey

Step-by-step explanation:

In this problem we are expected to determine which purchase of honey is the cheapest ? large jar or small jar ?.

We will determine which has the best value for money using the quantity a pound can purchase.  

firstly for the large jar.

if £4.10 will purchase 540g of honey then,

   £1.00 will purchase xg

cross multiplying to find x will have

[tex]x=[/tex]  [tex]\frac{1.00*540g}{4.10}[/tex]

[tex]x= 131.7grams[/tex]

Hence for the large jar a penny would buy 131.7g of honey

secondly for the small jar

if £2.81 will purchase 360g of honey then,

   £1.00 will purchase xg

cross multiplying to find x will have

[tex]x=\frac{1.00*360g}{2.81}\\x= 128.1gram[/tex]

Hence for the small jar a penny would buy 128.1g of honey

What is the equation of a line that has a slope of 2 and passes through the point (4,6) ?

Answers

Answer:

[tex]y-6=2\,(x-4)[/tex]

or in slope y-intercept form :

[tex]y=2x-2[/tex]

Step-by-step explanation:

The easiest way of find the answer for this is to use what is called the "point-slope" form of a line, because you are in fact given the value of the slope (m) and also a point   [tex](x_0,y_0)[/tex]  it goes through:

[tex]y-y_0=m\,(x-x_0)[/tex]

In our case the equation becomes:

[tex]y-y_0=m\,(x-x_0)\\y-6=2\,(x-4)\\[/tex]

This can also be written in the slope-intercept form by solving for "y" and operating to remove the parenthesis:

[tex]y-6=2\,(x-4)\\y=2x-8+6\\y=2x-2[/tex]

f(n+1)=f(n)-5. If f(1)=100, what is f(6)

Answers

Answer:

75

Step-by-step explanation:

Given:

f(1) = 100

f(n+1) = f(n) - 5

Solve for:

f(6)

Solution:

f(1) = 100

f(2) = f(1) - 5 = 100 - 5 = 100 - 1 x 5 = f(1) - 1 x 5

f(3) = f(2) - 5 = 100 - 5 - 5 = 100 - 2 x 5 = f(1)  - 2 x 5

...

f(n) = f(n - 1) - 5 = 100 - (n-1) x 5 = f(1) - (n-1) x 5

=> f(6) = f(1) - (6-1) x 5 = 100 - 5 x 5 = 100 - 25 = 75

Hope this helps!

can the value of y be the same for all X values in a function

Answers

Answer:

  yes

Step-by-step explanation:

One such function is ...

  f(x) = 0

No matter what the value of x is, the value of y is 0. The graph of it is a horizontal line.

9(x-4) = 9x-33
how many solutions does this have?

Answers

Answer:

No solution

Step-by-step explanation:

Because x = 0

What is the system of equations in this problem

Answers

X= 2 hope this helps

2. If I paid $1.45 for an apple and an orange, and the apple cost 15 cents more than the orange, how much did the orange cost?

Answers

Answer:

0.80 + 0.65 = 1.45

Step-by-step explanation:

apple: 0.80

orange: 0.65

What is the value of x in the equation 3X minus 4Y equals 65, when Y equals four

Answers

Answer:

Step-by-step explanation:

3x-4y=65

3x=65+4y

x=(65+4y)/3, when y=4

x=(65+4*4)/3

x=(65+16)/3

x=81/3

x=27

Can someone help this is really difficult for me

Answers

Answer:

D.strong

Step-by-step explanation:

Answer:

strong

Step-by-step explanation:

definitely not parabolic

pretty positive (not negative)

pretty strong (not weak)

I guess strong

(don't be angry if it is wrong, I'm not a regression and best fit expert)


What is the midpoint of the segment?

Answers

Answer:

In geometry, the midpoint is the middle point of a line segment. It is equidistant from both endpoints, and it is the centroid both of the segment and of the endpoints. It bisects the segment. hope that helps love!

What is the value of 4p − 2, when p = 8? 16 24 30 34

Answers

Answer:

4p - 2

4(8) - 2

32 - 2 = 30

The answer is 30.

This is because you have to substitute the value of the number they give into the equation. This will give you the number of 4 to be multiplied by 8. This is because the x is the number 8.

Hope this helped!

Answer:

What is the value of 4p − 2 when P 8?

the answer is 30.

Step-by-step explanation:

00:00
Which of the following is a statistical question?
O
A.
00:00
How tall is Mr. Leung?
B.
00:00
What are the ages of all your cousins?
00:00
What is the formula for the volume of a cube?
D.
00:00
What is the school's address?

Answers

The correct answer is B. What are the ages of all your cousins?

Explanation:

Statistics focus on using numbers to analyze variables in a population or in a specific sample taken from this population. This means statistical questions can be answered by analyzing different features in a population. For example, you can wonder what is the time students on a class spend doing homework?.

According to this, the one that is a statistical question is "What are the ages of all your cousins?" because this question focuses on analyzing one variable or factor in a population; in this case, the ages of your cousins, which requires gathering information and then using numbers to represent and analyze this, which is the objective of statistics.

Consider the polynomials p1(t) = 1 + t , p2(t) = 1 -t , and p3(t) = 2 (for all t). By inspection, write a linear dependence relation among p1, p2, and p3. Then find a basis for Span{ p1 , p2 , p3 }.

Answers

Answer:

[tex]\{p_1,p_2\}$ is a basis of Span\{p_1,p_2,p_3\}[/tex]

Step-by-step explanation:

Given the polynomials:

[tex]p_1(t) = 1 + t\\ p_2(t) = 1 -t\\p_3(t) = 2\\[/tex]

On Inspection

[tex](1+t)+(1-t)=1+1+t-t=2\\$Therefore:\\p_1(t)+p_2(t)=p_3(t)[/tex]

By the Spanning Theorem  

If one vector in S is a linear combination of the others, we can delete it and get a subset (one vector smaller) [tex]S' \subseteq S[/tex] that has the same span.

Therefore, since [tex]p_3(t)=p_1(t)+p_2(t)[/tex]

[tex]Span\{p_1,p_2,p_3\}=Span\{p_1,p_2\}[/tex]

[tex]p_1$ and p_2[/tex] are linearly independent because [tex]p_1[/tex] cannot be written in terms of [tex]p_2[/tex].

Therefore, [tex]\{p_1,p_2\}$ is a basis of Span\{p_1,p_2,p_3\}$ as required.[/tex]

A linear dependence relation among the polynomials p₁, p₂, and p₃ is given as p₁ + p₂ = p₃

What is polynomial?

Polynomial is an algebraic expression that consists of variables and coefficients. Variable are called unknown. We can apply arithmetic operations such as addition, subtraction, etc. But not divisible by variable.

Consider the polynomials are

[tex]\rm p_1(t) = 1 + t\\\\ p_2(t) = 1 -t \\\\ p_3(t) = 2[/tex]

a linear dependence relation among p₁, p₂, and p₃ will be

Let add the  p₁ and p₂, we have

1 + t + 1 -t = 2

We get the polynomial p₃.

Thus the linear relation is p₁ + p₂ = p₃

More about the polynomial link is given below.

https://brainly.com/question/17822016

Line p is parallel to line q. Parallel lines p and q are crossed by lines a and b to form 2 triangles. At parallel line p, angle 4 is formed by line b and angle 5 is formed by line a. Angle 6 is the third angle. At parallel line q, angle 3 is formed by line 3 and angle 2 is formed by line b. Angle 1 is the third angle. Which set of statements about the angles is true? Angle 1 is congruent to angle 6, angle 5 is congruent to angle 4, angle 3 is congruent to angle 2 Angle 2 is congruent to angle 4, angle 3 is congruent to angle 6, angle 1 is congruent to angle 5 Angle 3 is congruent to angle 6, angle 1 is congruent to angle 2, angle 5 is congruent to angle 4 Angle 6 is congruent to angle 1, angle 5 is congruent to angle 3, angle 4 is congruent to angle 2

Answers

Answer:

add all angles

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

There are 10 clean individual socks in your sock drawer. There is only one matching pair among them. In the dark, you reach into the drawer and randomly pick 2 socks. What is the probability that you choose the matching pair

Answers

The required probability of choosing the matching pair of socks is approximately 0.0222 or 2.22%.

To find the probability of choosing the matching pair of socks, we need to consider the total number of possible outcomes and the number of favorable outcomes.

In this case, there are 10 individual socks in the drawer, and only one matching pair. When you randomly pick 2 socks, there are C(10, 2) = 45 possible outcomes, as you are choosing 2 socks out of 10.

The favorable outcome is when you choose the matching pair, which can occur in only one way.

Therefore, the probability of choosing the matching pair of socks is:

P(matching pair) = favorable outcomes / total outcomes
                           = 1 / 45 ≈ 0.0222

So, the probability of choosing the matching pair of socks is approximately 0.0222 or 2.22%.

Learn more about probability here:

https://brainly.com/question/31090980

#SPJ4

ASAP! GIVING BRAINLIEST! Please read the question THEN answer CORRECTLY! NO guessing. I say no guessing because people usually guess on my questions.

Answers

Answer:

A. f(x)= -(x-3)^(2)-2

Step-by-step explanation:

graphing the parabola, using the direction, vertex, focus, an axis of symmetry, we see that the direction it opens is down, like the picture shows. The vertex is at (3, -2), focus is (3,-9/4), axis of symmetry is x=3, and the directrix is y = -7/4 just as the picture shows. Therefore, A is the correct answer.

Hope this helps!!

Answer:

A. [tex]F(x)=-(x-3)^2-2[/tex]

Step-by-step explanation:

For the function F(x) to flip upside-down, there needs to be a negative sign in front. This eliminates answers "B," and "D." The function F(x) shifted 3 units to the right, meaning there needs to be a -3 being subtracted. The function also shifted downwards 2 units, meaning there's a -2 being subtracted.

This makes the correct answer be "A."

What is the vertex of the graph of y=-x^2

Answers

Answer:

(0,0)

Step-by-step explanation:

The Graph shows that 0,0 is the first x-y value which is vertex

Answer:c

Step-by-step explanation:

What is the surface area of the cube below?
A. 12 units2
B. 20 units2
C. 8 units2
D. 24 units2

Answers

Answer:

24 units squared or D

Step-by-step explanation:

The Surface Area of a cube is 6(x²) x is the side length.

x=2

6(4)=24

The value of surface area of cube is,

⇒ SA = 24 units²

What is mean by Cuboid?

A cuboid is the solid shape or three-dimensional shape. A convex polyhedron which is bounded by six rectangular faces with eight vertices and twelve edges is called cuboid.

Given that;

Side of cube = 2 units

Now, We know that;

the surface area of the cube with side 'a' is,

⇒ SA = 6a²

Hence, We get;

the surface area of the cube is,

⇒ SA = 6 × 2²

⇒ SA = 24 units²

Learn more about the cuboid visit:

https://brainly.com/question/26403859

#SPJ5

what are possible rational roots of f(x)= 3x^4-x^3+x^2_x+5

Answers

Answer:

x=0

so the roots are (0,0)

Omar's credit card has an APR of 26% calculated on the previous monthly
balance. His credit card record for the last 7 months is shown in the table
below.
End of
Month
1
2.
3
4
5
6
7
Previous
Balance
$0.00
$301.23
$254.41
$169.46
$191.45
$121.58
$195.55
New
Charges
$301.23
$266.65
$89.54
$198.32
$165.98
$211.34
$397.54
Payment
Received
$0.00
$320.00
$180.00
$180.00
$240.00
$140.00
$340.00
Finance
Charges
$0.00
$6.53
$5.51
$3.67
$4.15
$263
$4.24
Princip
Paid
$0.00
$313.47
$174.49
$176.33
$235.85
$137.37
$335.76
lew
Balance
$301.23
$254.41
$169.46
$191.45
$121.58
$195.55
$257 33
On what amount of money will Omar be charged interest for month 8?
A. $195.55
B. $257.33
C. $397.54
D. $340.00

Answers

Answer:

  B.  $257.33

Step-by-step explanation:

Interest will be charged on the New Balance after the Month 7 payment, $257.33.

What’s the correct answer for this? Solve for x

Answers

Answer:

x = 40

Step-by-step explanation:

Given 2 secants to a circle from an external point, then

The product of the external part and the whole of one secant is equal to the product of the external part and the whole of the other secant, that is

8(8 + x) = 12(12 + 20) ← distribute parenthesis on both sides

64 + 8x = 12 × 32 = 384 ( subtract 64 from both sides )

8x = 320 ( divide both sides by 8 )

x = 40

Other Questions
HellllpppExamine the rotation. Which best describes point D?angle of rotationcenter of rotationimagepre-image What are the advantages and disadvantages of check and balance in a the area of foreign relations Is alcohol the most widely used and abused drug in the United States? true or false? By making interences based on analysis of a character, the reader is able to determine a charactersA: actionsB: developmentC: themeD: motivation Need help ASAP! Which is the simplified form of the expression StartFraction (6 Superscript negative 4 Baseline) Superscript negative 9 Baseline Over 6 Superscript 6 Baseline EndFraction? StartFraction 1 Over 6 Superscript 42 Baseline EndFraction StartFraction 1 Over 6 Superscript 19 Baseline EndFraction 6 Superscript 6 6 Superscript 30 Shawn received $5 change from $20 when he bought some binders. How many binders did he buy if each binder costs $3? 1. The discount rate is the:________. a. lowest interest rate that banks can charge for loans to their most creditworthy customers. b. interest rate at which banks can borrow reserves from the Federal Reserve. c. lowest interest rate that banks can charge for lending reserves to other banks or financial institutions. d. interest rate at which banks can borrow reserves from other banks. 2. If the Fed were to decrease the discount rate, banks will borrow:______. a. more reserves, causing an increase in lending and the money supply. b. fewer reserves, causing an increase in lending and the money supply. c. fewer reserves, causing a decrease in lending and the money supply. d. more reserves, causing a decrease in lending and the money supply. Round to 2 decimal places 0.861 Find the slope and reduce.P=(-2, 3) Q=(8,3)Slope = [?] Why do you think the states listed all of these grievances? Which type of irony is used and why??? Can someone help me Explain how to solve (c)/(9)=3. Give the solution in you explanation Please helpBlake is going to invest in an account paying an interest rate of 1.5% compounded quarterly. How much would Blake need to invest, to the nearest dollar, for the value of the account to reach $910 in 10 years? what is 2 times one over 10?? In what ways local government has helped to deepen democracy in our country? What are the difficulties faced by the local governments? Find solution r+9-6r=28 Find the area of the shaded region below.All shapes in the figures are regular polygons.PLSS HELP Q26: Ava is making necklaces out of beads. Ava bought 40 packages that each contain 100 beads. Each necklace requires exactly 60 beads. How many complete necklaces can Ava make? The company's adjusted trial balance as follows includes the following accounts balances: Cash: $15,000Equipment: $85,000 Accumulated Depreciation: $25,000 Accounts Payable: $10,000 Retained earnings: $59,000 Dividends: $2,000 Fees Earned: $56,000 Depreciation Expense: $25,000 Salaries Expense: $23,000. All accounts have normal balances.Required:Prepare closing entry. In less than one hundred words, explain how the reader can tell that the narrator believes in more traditional values than her sister, Yuchin. Use at least two examples from the story to support your answer. Doesnt have to be 100 words most like 2 sentences. Thank you! (Story: The Bane of the Internet)