There are 2 green pens, 3 blue pens, 4 red pens, and 1 black pen in the teachers desk. The teacher selects 2 pens at random, and the pens are not replaced. What is the probability that the teachers will pick 2 red pens in a row?

Answers

Answer 1

Answer:

2/15

Step-by-step explanation:

2 green pens, 3 blue pens, 4 red pens, and 1 black pen =10 pens

P(red) = red/total = 4/10 = 2/5

Keep the pen

2 green pens, 3 blue pens, 3 red pens, and 1 black pen =9 pens

P(red) = red/total = 3/9 = 1/3

P(red,red) = 2/5 * 1/3 = 2/15


Related Questions

By how much is 5 over 6 greater than 3 over 4​

Answers

Answer:

By 1/12

Step-by-step explanation:

5/6 - 3/4 = 10/12 - 9/12 = (10 - 9)/12 = 1/12
Answer:

1/12

Step-by-step explanation:

5/6 > 3/4

5/6 = 20/24 3/4 = 18/24

20/24 - 18/24 = 2/24 or 1/12

find 25th and 49th term of the sequence 50 ,46,42,38......​

Answers

Answer: -46

Step-by-step explanation:

[tex]u_1=50=50-(1-1)*4\\u_2=46=50-(2-1)*4\\u_3=42=50-(3-1)*4\\...\\\\u_n=50-(n-1)*4\\\\\\u_{25}=50-(25-1)*4=-46\\\\\\Answer\ -46\\[/tex]

Line AB is perpendicular to line BC. What is the justification for the following statement?
m ABC = 90°

Definition of angle bisector

Definition of complementary angles

Definition of perpendicular lines

Definition of supplementary angles

Answers

Answer:

definition of perpendicular lines

help solve for x pt2.

Answers

Answer:

x p t^2

p = 0

t = 0

x = 0

Δ = 0

Paridad

extraño

d/dx(x p t^2) = p t^2

Step-by-step explanation:

There are 1125 students in a school. If a student pays Rs. 300 as fees and
Rs. 100 as bus charge per month, how much money is collected in a month?

Answers

The school would get 450000 per month

Identify the construction that the figure represents

Answers

Answer:

Not sure if this will help but that looks like a bisection of angles BAC and TSR.

Determine the factors of x^2 - 7x - 10.
O (x + 2)(x - 5)
O Prime
O (x-2)(x + 5)
O (x + 10)(x - 1)

Answers

Answer:

O Prime

Step-by-step explanation:

x^2 - 7x - 10

What two numbers multiply to -10 and add to -7

There are no two number that multiply to -10 and add to -7

Answer:

x^2 - 7x - 10

Think about it like this: What two numbers multiply to get -10 and add to get -7?

But no matter what we try, this doesn't work. And that's because x^2 - 7x - 10 is actually prime.

So "Prime" is the correct answer.

Let me know if this helps.

If f(x) = 2x ^ 2 + 3 and g(x) = x ^ 2 - 7 , find (f - g)(x) .

Answers

Answer:

x^2 + 10

Step-by-step explanation:

f(x) = 2x ^ 2 + 3

g(x) = x ^ 2 - 7

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

Distribute the minus sign

             =2x ^ 2 + 3 - x ^ 2 + 7

Combine like terms

            = x^2 + 10

PLZ HELP I KINDA NEED THIS PLZ
Select the correct answer. The function f(x) = x2 is graphed above. Which of the graphs below represents the function g(x) = (x + 1)2?

A. W
B. X
C. Y
D. Z

Answers

Answer is : Z Explanation I just did it

Answer:

It's is C. Y

Step-by-step explanation:

There is the graph and you can see it by yourself :)

10. A recipe for punch calls for 2 2/3 cups of fruit concentrate
and 6 3/4 cups of water.
How many cups of punch will the recipe make?

Answers

Step-by-step explanation:

Let's change 2 2/3 cups to 4/3 cups and change 6 3/4 cups to 18/4 cups. Okay now we need to find a number 4 and 3 both go into bucause they're the numbers on the bottom or the denominator 4 and 3 both go into 12 so now we put our numerator (the numbers on top) over 12.

The sum is now: 54/12 + 16/12 let's change that to 4 and 4/12 + 1 and 4/12= 5 and 8/12 simplify that to 5 and 2/3

A kindergarten class had a total of 15 boys 9 girls , what is the ratio of girls to boys in that class ?

Answers

Answer:

9:15

girls : boys

Step-by-step explanation:

Answer:

9:15

Or 3:5 when reduced

Step-by-step explanation:

Find the complete factored form of the polynomial
30ab^4-5a^6

Answers

Answer:

5a(6[tex]b^{4}[/tex] - [tex]a^{5}[/tex])

Step-by-step explanation:

Given

30a[tex]b^{4}[/tex] - 5[tex]a^{6}[/tex] ← factor out 5a from each term

= 5a(6[tex]b^{4}[/tex] - [tex]a^{5}[/tex] ) ← in factored form

Which number line shows the solution to-3-(-1)

Answers

Answer is C hoped this helped

Hunter assumed he would only get 64
problems correct on his test, but he
actually got 78 correct. What was his
percent error
Round to the nearest percent.

Answers

Answer:

22%

Brainliest, please!

Step-by-step explanation:

78 - 64 = 14

14 / 64 = 0.21875

= 22% (when rounded)

Let f (x) = 3x + 1 and let g(x) = x - 1. Find (fog) (5)
0 0
O 15
O 4
O 7

Answers

Answer:

13

Step-by-step explanation:

(fog)=3(x-1)+1

ie puting the function of g in f

so (fog)= 3x-3 + 1= 3x-2

finding fog

(fog)(5)= 3(5)-2

ie sub stitute 5 in x

(fog)(5)=15-2=13

Q.5(b) The population {(P) in millions} of a country is estimated by the function, P=125e0.035t, t = time measured in years since 1990. (a) what is the population expected to equal in year 2000 (b) determine the expression for the instantaneous rate of change in the population (c) what is the instantaneous rate of change in the population expected to equal in year 2000.

Answers

Answer:

Hello,

Step-by-step explanation:

Q.5(b) The population {(P) in millions} of a country is estimated by the function, P=125e0.035t, t = time measured in years since 1990. (a) what is the population expected to equal in year 2000 (b) determine the expression for the instantaneous rate of change in the population (c) what is the instantaneous rate of change in the population expected to equal in year 2000.

[tex]P(t)=125*e^{0.035*t}\\a)\\P(2000)=125*e^{0.035*(2000-1990)}=177.38...\\\\b)\\P'(t)=125*0.035*e^{0.035*t}\\\\c)\\\\P'(2000)=125*0.035*e^{0.035*(2000-1990)}=6.2084...[/tex]

PLEASE HELP! Find the accumulated value of an investment of $17,000 at 6% compounded annually for 13 years. (Please show work tho)

Answers

9514 1404 393

Answer:

  $36,259.78

Step-by-step explanation:

The formula for compound interest is ...

  A = P(1 +r/n)^(nt)

where principal P is invested at annual rate r for t years compounded n times per year.

Here, you have P = 17000, r = 0.06, n = 1, t = 13.

  A = 17000(1 +0.06)^13 = 17000(2.13292826) = 36,259.78

The accumulated value after 13 years is $36,259.78.

Please help me with this anyone thank you

Answers

Answer:

y=x^2-11

y=6^2-11

6×6=36

36-11=35

y=35

What is the net pay for 40 hours worked at $8.95 an hour with deductions for Federal tax of $35.24, Social Security of $24.82, and other deductions of $21.33?

$276.61

$326.25

$358.00

$368.91

Answers

Answer:

A

Step-by-step explanation:

Total money earned=40*8.95=358

Total money earned after deductions=358-(35.24+24.82+21.33)=276.61

who can help me out with this one?​

Answers

Answer:

(x + 1)² + (y - 2)² = 9

Step-by-step explanation:

Equation of the circle with center (h, k):

(x - h)² + (y -k)² = r²  where r is radius

Center(-1 , 2) ;  r =3

(x - [-1])² + (y - 2)² = 3²

(x + 1)² + (y - 2)² = 9

9.
Solve the equation by completing the square. Round to the nearest hundredth if necessary. x2 + 2x = 15

A. 3, –5
B. 3.74, 4
C. 4, –4
D. 15, –17

Answers

Answer:

x = 3 , x = -5

Step-by-step explanation:

Given x^2 +2x=15 add 1 to both sides to get:

x^2 + 2x + 1 =16

(x+1)^2 = 16

x + 1 = ± [tex]\sqrt{16}[/tex] = ± 4

x = -1 ± 4

x = 3 or x = -5

How many times more ?

Answers

Answer:

1.3

Step-by-step explanation:

bc for each time x increases by 1, it multiplies by 1.3

i cant think of any other way to explain it

but   i hope this helped :D

Answer:

1.3 times

Step-by-step explanation:

f(x)= 68 (1.3) ^x

it, means each year, the expected number of squirrels is 1.3 times, the number the year before.

x=0 so, f(0)=68

New x=1, so f(1)= 68(1.3)¹

= 68 × 1.3

f (1)= f(0) × 1.3

So, 1.3 times

OAmalOHopeO

Solve x2 − 20 = 0. If necessary, round to the nearest hundredth.

Answers

Answer:

x is 4.47

Step-by-step explanation:

[tex]{ \sf{ {x}^{2} - 20 = 0 }} \\ { \sf{ {x}^{2} = 20}} \\ { \sf{x = \sqrt{20} }} \\ { \sf{x = 4.47}}[/tex]

One of the legs of a right triangle measures 16 cm and its hypotenuse measures 20
cm. Find the measure of the other leg. If necessary, round to the nearest tenth.

Answers

Answer:

12.

Step-by-step explanation:

Use the Pythagorean theorem. 16^2+b^2=20^2. Multiply the exponents: 256+b^2=400. subtract 256 from 400=144. Therefore 144=b^2. the square root of 144 is 12.

What two numbers are between 3.15?
The options are:
a. 3.0 and 3.1
b. 3.1 and 3.2
c. 3.2 and 3.3

Be quick please, due in 10 minutes!

Answers

Answer:

b 3.1 and 3.2

Step-by-step explanation:

3.15 is the average number of 3.1 and 3.2, because

(3.1+3.2)/2=3.15

In an atom, electrons have a negative charge and protons have a positive charge. One negative and
one positive cancel each other, just like zero pairs. An atom has 354 electrons and 139 protons.
What is the amount and type of charge?

Answers

Answer:

The charge is negative and the amount is 215

Step-by-step explanation:

Electrons are negative

-354

Protons are positive

+139

-354+139

-215

So

Electrons=-354Protons=+139

Net charge

354-139-215

Negative charge and the amount is 215

(20+80 divided by 2x8) divided [(54 divided by 9+14)divided by 4]

Answers

Answer:

80

Step-by-step explanation:

Let's write out the equation:

8(20+80/2)/[(54/9+14)/4]

For the first part we get 8(100/2)

Then 50x8

Then 400

For the second part we have (6+14)/4 as we divide 54 by 9. PEMDAS

Then 20/4

Then 5

So our final answer is 400/5 which is 80.

Hope this helps!

The given mathematical statement can be written in the form of mathematical expression as -{x} = {(20 + 80)/(2 x 8)} ÷ [{54/(9 + 14)}/4].

What is function?

A function is a relation between a dependent and independent variable.

We can write the examples of function as -

y = f(x) = ax + b

y = f(x, y, z) = ax + by + cz

Given is the mathematical statement as -

(20+80 divided by 2x8) divided [(54 divided by 9+14)divided by 4]

We can write the given statement in the form of mathematical expression as -

{x} = {(20 + 80)/(2 x 8)} ÷ [{54/(9 + 14)}/4]

Simplifying, we get -

{x} = {100/16} ÷ {54/23}/4

{x} = 100/16 ÷ 54/92

{x} = 100/16 x 92/54

{x} = 10.64

Therefore, the given mathematical statement can be written in the form of mathematical expression as -{x} = {(20 + 80)/(2 x 8)} ÷ [{54/(9 + 14)}/4].

To solve more questions on functions, visit the link below-https://brainly.com/question/30194223

#SPJ2

Wrapping a Package It takes 70 inches of ribbon to make a bow and wrap the ribbon
round a box. The bow takes 32 inches of ribbon. The width of the box is 14 inches. What
the height of the box?
-14 in. -

Answers

First subtract the amount the bow takes from the total:

70 - 32 = 38 inches

The width is 14 on top and bottom so subtract 14 x 2 = 28 from 38:

38-28 = 10

Divide 10 by the 2 sides:

10/2 = 5

The height is 5 inches.

Express an angle of square into grade.​

Answers

Answer:

please solve my questiob check my profile

Help me!!! Please to solve this problem of o. Math

a) Given a function f(x) = 2x + 3. Find (a) f(1), (b) f(-5), (c) f(a), (d) f(a + 2) (e) f(b)?

b) let f(x) = x + 4 define a function in the closed interval of -55x55, find f(-2), f(3) and f(7). ​

Answers

a:-

f(x)=2x+3

[tex]\\ \rm\Rrightarrow f(1)=2(1)+3=2+3=5[/tex]

[tex]\\ \rm\Rrightarrow f(-5)=2(-5)+3=-10+3=-7[/tex]

[tex]\\ \rm\Rrightarrow f(a)=2a+3[/tex]

[tex]\\ \rm\Rrightarrow f(a+2)=2(a+2)+3=2a+4+3=2a+7[/tex]

[tex]\\ \rm\Rrightarrow f(b)=2b+3[/tex]

b:-

f(x)=x+4

[tex]\\ \rm\Rrightarrow f(-2)=(-2)+4=2[/tex]

[tex]\\ \rm\Rrightarrow f(3)=3+4=7[/tex]

[tex]\\ \rm\Rrightarrow f(7)=7+4=11[/tex]

Step-by-step explanation:

[tex]thank \: you[/tex]

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