In a class of 25 students, 15 of them have a cat,
16 of them have a dog and 3 of them have neither.
Find the probability that a student chosen at random
has a cat and a dog.

Answers

Answer 1

So 3 have no pets, so 25 - 3 = 22 students have a pet.

There are 15 cats and 16 dogs so 15 + 16 = 31.

And then 31 - 22 = 9. The 9 means that 9 students have both pets.

So the probability is 9/25.

In A Class Of 25 Students, 15 Of Them Have A Cat,16 Of Them Have A Dog And 3 Of Them Have Neither.Find
Answer 2

Answer:

number of students who have cat and dog

= y

= 9

P( student chosen has a dog and cat )

= 9/25

In A Class Of 25 Students, 15 Of Them Have A Cat,16 Of Them Have A Dog And 3 Of Them Have Neither.Find
In A Class Of 25 Students, 15 Of Them Have A Cat,16 Of Them Have A Dog And 3 Of Them Have Neither.Find

Related Questions

30 POINTS! and brainliest if you have the best answer
1. How can you set up a spinner so that an event is likely?
2. How can you set up a spinner so that an event is unlikely?
3. How can you set up a spinner so that an event is impossible?
4. How can you set up a spinner so that an event is certain?

Answers

Answer:

hey guys whats up!

i think your answer is

1. you can spin the spinner a certain way and it is more likely to land on the answer you want or if it has anything to do with colors then make the color you want to take up more space.

2.you can as the other question above states do the opposite.

3.to make an event impossible you can do this:if it is a color leave it out,this means that it will not land on it so it is impossible.

4.to make an event certain you can do the opposite of answer 3

Step-by-step explanation:

hope this helps

thx

pls put brainliest

The following table shows the number of medals won in the 2008 Olympics for swimming by the top five countries.
Country
Number of Medals
USA
31
Australia
20
Great Britain
6
China
6
France
6
How many degrees will the Australia section be in a circle graph of this data?
52
20°
29°
104

Answers

Answer:

I believe it is 104 degrees.

Step by Step: First, You add all the medals for all the countries, giving you 69. Then, you make Australia's medals a fraction of 69, so 20/69. After this, since a circle has 360 degrees, you make x/360 and cross multiply. This takes you to 69x=7200. Now divide 7200 by 69, which gets you 104.347, or 104 degrees.

Answer:

104 deg

Step-by-step explanation:

Total number of medals: 31 + 20 + 6 +6 + 6 = 69

Number of Australian medals: 20

Fraction of total medals won by Australia: 20/69

A circle has a total of 360 deg.

Since Australia has 20/69 of the medals, it will have 20/69 of 360 degrees in the circle graph.

20/69 * 360 = 104.3

Answer: 104 deg

Charge q is one unit of distance away from the source charge s. Charge p is two times further away. The force exerted between S and q is ? The force exerted between S and p.

Answers

Charge q is 1 unit of distance away from the source charge S. Charge p is two times further away. The force exerted between S and q is _____ the force exerted between S and p

a. 1/2

b. 2 times

c. 1/4

d. 4 times

Answer:

4 times

Step-by-step explanation:

Given the following :

Distance between q and S (r) = 1 unit

Distance between P and S (r) = 2 × 1 unit = 2

According to coliumbs law:

F = Ke(q1q2) /r^2

Where F = electrostatic force, Ke = coloumbs constant

q1,q2 = charges, r = distance between two charges

For q and S :

Fsq = Ke(q1q2) / 1^2

Fsq = Ke(q1q2) - - - - - equation 1

For P and S :

Fsp = Ke(q1q2) / 2^2

Fsp = Ke(q1q2) / 4 - - - - - equation 2

Dibiding equation 1 by equation 2

Fsq/Fsp = Ke(q1q2) / Ke(q1q2)/4

Fsq / Fsp = Ke(q1q2) × 4 / Ke(q1q2)

Fsq / Fsp = 4 / 1

Using cross multiplication

Therefore, Fsq = 4 × Fsp

Hey u! I need help simplify this expression

Answers

6x^2
y^3
Hope this helped, correct me if I am wrong
8x :) Dont thank me, just trying to help! xx

When [(a2bc4)(ab3c2)]2(b2c5)3 is simplified, the exponent of b is Answer


all the numbers are roots and powers

Answers

Answer:

14

Step-by-step explanation:

We want to simplify [tex][(a^2bc^4)(ab^3c^2)]^2 (b^2c^5)^3[/tex] so as to find the exponent of b.

Let us expand all brackets:

[tex][(a^2bc^4)(ab^3c^2)]^2 (b^2c^5)^3\\\\= [a^3b^4c^6]^2 (b^{2*3}c^{5*3})\\\\= [a^6b^8c^{12}] (b^{6}c^{15})\\\\= a^6b^{8+6}c^{12 + 15}\\\\= a^6b^{14}c^{27}[/tex]

The exponent of b is 14.

Describe the graph of y > mx, where m > 0. Plz wright it in your own words I do not want a "Sample Response" if it is I will not thank you and I will report you

Answers

Answer:

that graph will feature an area delimited by a line of slope m passing through the origin (0,0). Since m>0 the slope is positive, meaning the line goes up. Since the equation is y > mx, the inequality sign being >, that means the area represented will be ABOVE the line drawn.

Jeremy wrote this equivalent equation to solve for x: x = negative 11 y minus 140 Which of these equations might have been Jeremy's original equation? Check all that apply. y + 7x = 23 y + 11x = 140 2x – 22y = –140 3x + 33y = –420 x + 140 = –11y

Answers

Answer:

3x+33y= -420

x+140= -11y

Step-by-step explanation:

x= -11y-140

y +7x=23

7x=23-y

x=23/7 - y/7

y+11x=140

11x=140-y

x=140/11 - y/11

2x-22y=-140

2x=-140+22y

x=-140/2+22y/2

x=-70+11y

3x+33y=-420

3x=-420-33y

x=-420/3 - 33y/3

=-140-11y

x=-140-11y

x+140=-11y

x=-11y-140

Answer:

The bottom 2

3x + 33y = –420

x + 140 = –11y

Step-by-step explanation:

Edge 2020


please help i’ll give u brainlest

Answers

Answer:

y=6cos 45° +4

  =6(1/√2)+4

   =6/√2+4

Step-by-step explanation:

y=acosx+b

find a and b

y=b=4 when x=90 degrees because cos 90=0

find a : when x=60 degrees, y=7

7=acos60°+4

7=a(1/2)+4

a/2=3

a=6

y=6cos 45° +4

  =6(1/√2)+4

   =6/√2+4

What is the hire purchase of a stove purchased through 24 monthly
payments of J$2,000 and a deposit of J $950?*

Answers

9514 1404 393

Answer:

  J$48,950

Step-by-step explanation:

The entire purchase price is ...

  24×J$2000 +J$950 = J$48,950

What value of x is in the solution set of 8x - 6 > 12 + 2x?
-1
e Of
3
5

Answers

Answer:

x > 3

Step-by-step explanation:

Step 1: Isolate x

6x -6 > 12

6x > 18

Step 2: Divide

x > 3

The following table shows the salary of 7 people in an office last year. Name Income Andy £9500 Bevan £25000 Cheryl £11250 Deva £72000 Elliott £12750 Frankie £29500 Grace £11000 a) Work out the mean income to 2 DP. b) Deva was given a large bonus for 30 years service. Excluding Deva's income, what was the mean income for the remaining 6 workers to 2 DP?

Answers

Answer:

Step-by-step explanation:

a. Andy = £9500

Bevan = £25000

Cheryl = £11250

Deva = £72000

Elliott = £12750

Frankie = £29500

Grace = £11000

Total Income = £171,000

To get the mean Income, we divide the total income gotten by 6 which is the number of people. This will be:

= £171,000/7

= £24428.57

b. If Deva's income is excluded, there'll be 6 people left.

Andy = £9500

Bevan = £25000

Cheryl = £11250

Elliott = £12750

Frankie = £29500

Grace = £11000

Total income = £99000

Mean income = £99,000/6

= £16,500

What is the nth term of the following sequence……… 8, 3, -2, -7………..explain clearly aswell

Answers

8, 3, -2, -7

basically

you have to figure how to get from one term to the other. so in this case, to get from 8 to 3, you have to minus 5. and same again to get from 3 to -2, you again have to -5.

so the first past of the answer is -5n.

then after that, you have to figure out how to get from -5, to the first term of your sequence. so you have to add 13, in this case.

your answer would then be

-5n + 13

Answer:

-5x + 13

Step-by-step explanation:

to find the nth term, you must find the difference between each consecutive given terms.

So,

8 and 3 = -5

3 and -2 = -5

-2 and -7 = -5

This is the m in the equation mn+c

c is the value you must add to -5n when n is 1

Hope this helps

Suponha que uma variável assume os valores: 11 – 8 – 7 – a – 16 – 10 Determine a de modo que a média aritmética seja igual 11.

Answers

Answer:

a = 14  

Step-by-step explanation:

The mean is the sum of the values divided by the number of values.

[tex]\begin{array}{rcl}\text{Mean}&= &\dfrac{11 + 8 + 7 + a + 16 + 10}{6}\\\\\dfrac{52 + a}{6}& = & 11\\52 + a & = & 66\\a & = & 66 - 52\\& = & \mathbf{14}\\\end{array}[/tex]

What is the value of a in the equation 3a+b = 54, when b = 9?
15
18
21
27

Answers

Answer:

15

Step-by-step explanation:

3a+9=54

-9        -9

3a=45

:3     :3

a=15

Answer
15
Step by step explanation
3a + 9 = 54
3a = 54-9
a = 45/3
a = 15
Hope it helped
Put your comments below

please help, it is maths, brainliest will be given

Answers

Answer:

V = 1330.5 cm³

Step-by-step explanation:

Diameter = 11 cm

Radius = 5.5 cm

Height = 14 cm

Now, The volume:

Volume of Cylinder = [tex]\pi r^2h[/tex]

V = [tex](3.14)(5.5)^2(14)[/tex]

V = [tex](3.14)(30.25)(14)[/tex]

V = 1330.5 cm³

Answer:

1330.5 cm³

Step-by-step explanation:

The volume of a cylinder is equal to πr²h.

Where r is the radius and h is the height.

The diameter is 11 cm, so the radius will be 5.5 cm.

π(5.5)²(14)

π(30.25)(14)

423.5π = 1330.464489

Rounded to 1 decimal place will be 1330.5 cm³.

a gram is equevalint to 0.0353 ounces one ounce is how may grams round to the nearest tenth

Answers

Answer:

28.3

Step-by-step explanation:

Since 1 gram = 353/10000 ounces, then to make the right side 1, you must multiply by the reciprocal, or 10000/353 to make it 1. Then you get 10000/353 grams = 1 ounce. Now, we divide and round to the nearest tenth. This is 28.3 grams.

Jerry uses an exercise program to help him eventually do 100 push-ups. He started with 17 push-ups in Week 1 and planned to increase the number of push-ups by 2 each week. Show your work. a) In which week does Jerry expect to reach his goal? b) What is the total number of push-ups he will have done when he reaches his goal?

Answers

Answer:

(a) Jerry expect to reach his goal by week 43rd.

(b) The total number of push-ups Jerry will have done when he reaches his goal is 2,537.

Step-by-step explanation:

It is provided that Jerry wants to do 100 push-ups. He started with 17 push-ups in Week 1 and planned to increase the number of push-ups by 2 each week.

the number of push-ups done each week by Jerry follows a arithmetic progression with the first terms as, a = 17, common difference as, d = 2 and the last terms as, l = 100.

(a)

Compute the number of week it takes Jerry to reach his goal as follows:

The nth term of an AP is:

[tex]t_{n}=a+(n-1)d[/tex]

Compute the value of n as follows:

[tex]t_{n}=a+(n-1)d[/tex]

[tex]100=17+(n-1)\cdot 2\\\\100-17=(n-1)\cdot 2\\\\83=2n-2\\\\2n=85\\\\n=42.5\\\\n\approx 43[/tex]

Thus, Jerry expect to reach his goal by week 43rd.

(b)

Compute the total number of push-ups he will have done when he reaches his goal as follows:

The sum of n terms of an AP is:

[tex]S_{n}=\frac{n}{2}\cdot [2a+(n-1)d][/tex]

Compute the sum as follows:

[tex]S_{n}=\frac{n}{2}\cdot [2a+(n-1)d][/tex]

    [tex]=\frac{43}{2}\cdot [2\cdot 17+(43-1)\cdot 2]\\\\=43\cdot [17+42]\\\\=2537[/tex]

Thus, the total number of push-ups Jerry will have done when he reaches his goal is 2,537.

Divide £506 in the ratio 2:4:5

Answers

Answer:

£92 , £184 and £230

Step-by-step explanation:

Total = £506

Ratio = 2:4:5

Total Parts: 2+4+5 = 11

Part 1:

=> [tex]\frac{2}{11}* 506[/tex]

=> 2 * 46

=> £92

Part 2:

=> [tex]\frac{4}{11}* 506[/tex]

=> 4 * 46

=> £184

Part 3:

=> [tex]\frac{5}{11}* 506[/tex]

=> 5 * 46

=> £230

Answer:

Step-by-step explanation:

£506

2+4+5=11

506/11=46

2x46=£92

4x46=£184

5x46=£230

92+184+230=£506

liz buys 17 identical tickets for £208.25 estimate the cost of one ticket

Answers

Answer:

£12.25

Step-by-step explanation:

Using unit rate:

[tex]\frac{\text{Price}}{\text{Tickets}}=\frac{208.25}{17}=\frac{208.25/17}{17/17}=\frac{\boxed{12.25}}{1}[/tex]

£12.25 should be the correct answer.

£12.25 just divide 208.25 by 17

if f(x)= x/2-3 and g(x)=4x^2+x-4 find (f+g) (x)

Answers

Answer:

(f+g) (x)=4x^2+3x/2-7

Step-by-step explanation:

f(x)= x/2-3 and g(x)=4x^2+x-4

(f+g) (x)=?

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

(f+g) (x)=x/2-3+4x^2+x-4

combining like terms

(f+g) (x)=4x^2+x/2+x-3-4

(f+g) (x)=4x^2+3x/2-7

hope it helps. Brainliest please

PLEASE SHOW WORK A coffee distributor needs to mix a(n) Gualtemala Antigua coffee blend that normally sells for $10.30 per pound with a Tanzanian coffee blend that normally sells for $13.80 per pound to create 60 pounds of a coffee that can sell for $12.46 per pound. How many pounds of each kind of coffee should they mix? Answer: They must mix ________ pounds of the Gualtemala Antigua Blend ________pounds of the Tanzanian Blend. (Round your answers to the nearest whole number of pounds.)

Answers

Answer:

23 pounds of the Gualtemala Antigua Blend and 37 pounds of the Tanzanian Blend

Step-by-step explanation:

you need to make a system of equations to solve this.

First lets make x be the pounds of Gualtemala Antigua coffee blend and y the pounds of Tanzanian coffee blend

we know we need 60 pounds total so first equation is

x+y=60

Next we will make an equation based on the money information

10.30x + 13.80y = 12.46(60)

10.30x + 13.80y = 747.60

So our system of equations is

x + y = 60

10.30x + 13.80y = 747.60

I will solve this by using substitution. first rewrite x+y=60 to y=60-x

now i can substitute that into the other equation for y and solve for x

10.30x + 13.80(60-x) = 747.60

10.30x + 828 -13.80x = 747.60

-3.5x + 828 = 747.60

-3.5x = -80.4

x = 23  (rounded from 22.9714 since they requested that)

now I can use this solution to solve for y by plugging into one of the original equations

x + y =60

23 + y =60

y = 37

Finally we can say that they must mix 23 pounds of the Gualtemala Antigua Blend and 37 pounds of the Tanzanian Blend.

What is the length, in units, of segment CD?

Answers

Answer:

The answet is C.

Step-by-step explanation:

First, you have to find the angle of ACB using Sine Rule, sinθ = opposite/hypotenuse :

[tex] \sin(θ ) = \frac{oppo.}{hypo.} [/tex]

[tex]let \: oppo. = 4 \\ let \: hypo. = 5[/tex]

[tex] \sin(θ) = \frac{4}{5} [/tex]

[tex]θ = {\sin( \frac{4}{5} ) }^{ - 1} [/tex]

[tex]θ = 53.1 \: (1d.p)[/tex]

Given that line AB is parallel to line CD so ∠C = 90°. Next, you have to find the angle of ACD :

[tex]ACD = 90 - 53.1 = 36.9[/tex]

Lastly, you can find the length of CD using Cosine rule, cosθ = adjacent/hypotenuse :

[tex] \cos(θ) = \frac{adj.}{hypo.} [/tex]

[tex]let \: θ = 36.9 \\ let \: adj. = 5 \\ let \: hypo. = CD[/tex]

[tex] \cos(36.9 ) = \frac{5}{CD} [/tex]

[tex]CD \cos(36.9) = 5[/tex]

[tex]CD = \frac{5}{ \cos(36.9) } [/tex]

[tex]CD = 6.25 units\: (3s.f)[/tex]

Let f ( x ) = 5 x and g(x)=2x^2. (Need answer in less than 2 hours!)

Answers

Answer: (b) (g o g)(5)

Step-by-step explanation:

[tex]f(x)=\dfrac{5}{x}}\qquad g(x)=2x^2\\\\\\g(f(5)):\ f(5)=\dfrac{5}{5}=1\qquad g(1)=2(1)^2=2\\\\\\g(g(5)):\ g(5)=2(5)^2=50\qquad g(50)=2(50)^2=\large\boxed{5000}\\\\\\f(f(5)):\ f(5)=\dfrac{5}{5}=1\qquad f(1)=\dfrac{5}{1}=1\\\\\\f(g(5)):\ g(5)=2(5)^2=50\qquad f(50)=\dfrac{5}{50}=\dfrac{1}{10}[/tex]

(10.05 LC)

If sin(x) =½
what is cos(x) and tan(x)? Explain your steps in complete sentences. (10 points)

Answers

Answer:

Cos x = [tex]\frac{base}{hypotenuse}=\frac{\sqrt{3} }{2}[/tex]

Tan x = [tex]\frac{perpendicular}{base} = \frac{1}{\sqrt{3} }[/tex]

Step-by-step explanation:

Sin x = [tex]\frac{perpendicular}{hypotenuse} = \frac{1}{2}[/tex]

So, Perp = 1 and hyp = 2

Putting this in Pythagorean theorem to get the base

[tex]c^2 = a^2+b^2[/tex]

[tex]a^2 = c^2-b^2[/tex]

base ² = 4-1

base² = 3

Taking square root on both sides

Base = [tex]\sqrt{3}[/tex]

Now

Cos x = [tex]\frac{base}{hypotenuse}=\frac{\sqrt{3} }{2}[/tex]

Tan x = [tex]\frac{perpendicular}{base} = \frac{1}{\sqrt{3} }[/tex]

Hi. Can somebody help me with this problem

Answers

Answer:

draw a table and calculate the x axis and find the x intercept

Step-by-step explanation:

Answer:

The correct answer is ..

(-1,-2)

Step-by-step explanation:

First, you reflect over the x-axis and get (1,-2) then reflect over the y- axis and the point will be on (-1,-2)

Hope this helps!

- Quinn <3

Simplify: -8y-(x-4x) + 3y

Answers

Answer:

-5y+3x

Step-by-step explanation:

-8y-(x-4x) + 3y

= -5y-(x-4x)

= -5y+3x

Answer: -5y+3x

Step-by-step explanation:

Match each whole number with a rational, exponential expression. please help

Answers

The answer to your question is below

Step-by-step explanation:

1.- ∛27²  = ∛729  = ∛ 3⁶ = 3⁶/³ = 3² = 9

Find the prime factors

   729    3

   243    3

     81     3

     27     3

        9     3

        3     3

         1

2.- 64²/³ = ∛64² = ∛4096 = ∛ 2¹² = 2¹²/³ = 2⁴ = 16

3.- (∛3375)² = ∛3⁶5⁶  = 3⁶/³ 5⁶/³ = 3² 5² = 9 x 25 = 225

4.- (2744)² ¹/³ = ∛2744² = ∛7529536 = ∛2⁶7⁶ = 2⁶/³ 7⁶/³ = 2² 7² = 4 x 49 = 196

5.- 125²/³ = ∛ 15625 = 5⁶/³ = 5² = 25

6.- ∛4096² = ∛16777216 = 2²⁴/³ = 2⁸ = 256

Work out m and c for the line: y = x + 4

Answers

Answer:

Step-by-step explanation:

Help a chick out only if u know what u doing

Answers

Answer:

for 12:00 1 for 1:00 2

Step-by-step explanation:

this is a pattern where each number multiplies itself by 2 making 12:00 and 1:00 pm 1 and 2

edit: is it right? if it is, may I have brainliest?

Which undefined geometric term can be described as a one-dimensional set of points that has no beginning or end?

Answers

A line because it continues on forever.
Other Questions
A 0.40-kg particle moves under the influence of a single conservative force. At point A, where the particle has a speed of 10 m/s, the potential energy associated with the conservative force is 40 J. As the particle moves from A to B, the force does 25 J of work on the particle. What is the value of the potential energy at point B uestion12Spain banned any book that could be considered heretical.O TrueO False Owen gets paid $280 per week plus 5% commission on all sales for selling electronic equipment. If he sells d dollar worth of electronic equipment in one week, which algebraic expression represents the amount of money he will earn in weeks?a. (2800 + 5)w b. 280 +0.05dw c. (280+ 0.050d)w d. 280w +0.050d solve for x, x+3y=-3 Write two speeches that compare and contrast Mark Twain's Life on the Mississippi with Frederick Douglass's Narrative of the Life of Frederick Douglass, an American Slave. Shia received a large package in the mail. What is a reasonable weight for the large package? A 20 grams B 36 pounds C 52 ML D 68 inches PLEASE HELP ASAP! Segun la fuente escrita, que problema aflige a todos los ciudadanos? Crees que este problema se puede resolver? Como sugieres que se puede combatir el crimen? A line has a slope of Negative one-fourth and passes through point (Negative five-fourths, 1). What is the equation of the line? y = negative one-fourth x + StartFraction 21 Over 16 EndFraction y = negative one-fourth x + StartFraction 11 Over 16 EndFraction y = negative one-fourth x minus one-fourth y = negative one-fourth x minus five-fourths How are the executive departments and the Executive Office of the President(EOP) different?O A. The leaders of executive departments provide advice directly tothe president, while the EOP does not.B. The heads of executive departments need to be approved byCongress, while the heads of the EOP do not.C. Executive departments deal with economic and national de senseissues, while the EOP does not.D. Executive departments are in charge of the daily operations of theWhite House, while the EOP is not. At the sandwich shop, there are 3 different meats and 4 different cheeses from which to choose. How many different sandwiches can be made using one meat and one cheese? A. 2 B. 3 C. 7 D. 12 Both the Great Compromise and the three -fifths compromisea. increased the power of statesb. balanced the needs of different statesc. led to the need for anotherconstitutional conventiond. provided checks and balances on different branches of the government I need help with this problem Which list correctly orders A, B, and C from least to greatest when A = 8, B = StartAbsoluteValue negative 6 EndAbsoluteValue, and C = StartAbsoluteValue 11 EndAbsoluteValue? A, B, C C, A, B B, A, C C, B, A what is tje worlds largest mountain Managers spend less on prevention costs because managers are typically evaluated on a short term basis, while investments on prevention may experience long gestation periods to returns and their ROIs may be uncertain.1. True2. False Q: Draw shear and bending moment diagram for the beam shown inthe figure. EI= constant Plz help for 80 points question is attached N/6 = 15/4 N=____? Help please How does the author support the main idea in thisparagraph? Leon has already run 1 mile on his own, and he expects to run 3 miles during each track practice. Write an equation that shows the relationship between the practices p and the distance d.