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

Instructions: Find the missing side. Round your answer to the nearest
tenth.
58°
х
22
X=

Answers

Answer:

35.2

Step-by-step explanation:

tan(58) = x/22

or, x = 22×tan(58)

or, x = 35.2 (rounded to the nearest tenth)

Answered by GAUTHMATH

Let E= {prime numbers less than 30} Work out n(E)

Answers

Answer:

10

Step-by-step explanation:

E={2,3,5,7, 11, 13, 17, 19, 23, 29}

therefore,

n(E)={10}

Answer:

10 if I recall correctly

2. A pack of 7 rolls of tape sells for $2.73. If the tape is sold individually at the
same rate, how much would 3 rolls cost?
$1.56
$1.17
$0.78
$0.39

Answers

I’m pretty sure the answer would be 0.78 I remember doing this

3 rolls would cost $1.17.

What is Concept of Direct Proportion?

There exists a direct proportion between two values when one exists as a multiple of the other.

In direct proportion, if one quantity exists increased or decreased then the other quantity increases or declines, respectively. But in indirect or inverse proportion, if one quantity increases then the different quantity decreases and vice-versa.

If 7 rolls of tape cost $2.73,

Then 1 roll of tape would cost $2.73/7 = $0.39

Now, the cost of 3 roll of tapes would be 0.39*3 = $1.17

Therefore, at same rate the 3 rolls of tape would cost $1.17.

To learn more about Direct Proportion refer to:

https://brainly.com/question/1266676

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I’m practically begging someone please help me!!

Answers

My guys is is not just (5, -10)?

Pam and Amanda and Mike work at different clothing stores. Amanda made twice what Pam earned and Julie
made $90 more than Amanda. If their total earnings for a week are $995, how much did each person make?

Answers

Answer:

Pam: $181

Amanda: $362

Julie: $452

Step-by-step explanation:

(What does Mike have to do with this problem?)

Let a = Amanda's pay

Let p = Pam's pay

Let j = Julie's pay

"Amanda made twice what Pam earned"

a = 2p

"Julie made $90 more than Amanda"

j = a + 90

j = 2p + 90

Pam earned p

Total salary

a + p + j = 2p + p + 2p + 90

Total salary

$995

2p + p + 2p + 90 = 995

5p = 905

p = 181

a = 2p = 2(181) = 362

j = 2p + 90 = 362 + 90 = 452

Answer:

Pam: $181

Amanda: $362

Julie: $452

Add-ons Helplast edit was seconds ago
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5
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E A monthly service fee to download ebooks is $4.96 plus $3.99 per book downloaded White an
equation that represents the total cost, c, in a month when books are downloaded Explain how
yos gation represents the greem
Graph
Create a graph for

Answers

Eeeeeeeeeeeeeeeeee eeeeeeeeeeeeeeeee

Given the function f(x)= (x+3)^2 determine the value of f^-1 (49) include a complete solution

Answers

Answer:

Step-by-step explanation:

taking the inverse is essentially saying

x = (f(x) + 3)^2

root(x) - 3 = f(x) and -root(x) -3 = f(x)

(you have to take both the positive and negative roots)

plug in 49 for x and get 4 and -10.

The value of the inverse function, to the function f(x) = (x + 3)², at f(x) = 49, is; f⁻¹(49) = 4

What does the inverse notation f⁻¹(x) represents?

The notation f⁻¹(x) represents the inverse of the function f(x). The inverse function, f⁻¹(x) undoes the the effect of the function f(x), meaning, that if y = f(x), then x = f⁻¹(y)

The value of f⁻¹(49) for the function, f(x) = (x + 3)² is the x-value, such that f(x) = 49, which can be obtained by solving the equation f(x) = (x + 3)², for x as follows;

Taking the square root of both sides of the equation, we get;

√(f(x)) = √((x + 3)²)

√(f(x)) = (x + 3)

Subtracting 3 from both sides, we get;

√(f(x)) - 3 = x + 3 - 3 = x

√(f(x)) - 3 = x

The above function is the inverse function, f⁻¹(x) that takes an output value, f(x), to produce the corresponding input value, x of the original function;

The inverse function, f⁻¹(x) = √(f(x)) - 3, takes the original output, f(x) to produce the original input x

When the output value is f(x) = 49 we get;

f⁻¹(49) = √(49) - 3 = ±7 - 3

Restricting the domain of the original function, f(x) to (x + 3) ≥ 0, or x ≥ -3, so that its inverse is also a function and produces only one value, we get;

f⁻¹(49) = 7 - 3 = 4

f⁻¹(49) = 4

Learn more on the inverse of a function here: https://brainly.com/question/1559611

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Instructions: Point T is the centroid. Find TE if XE= 21.

Answers

Answer:

TE = 7

Step-by-step explanation:

The centroid divides a median in this ratios 1/3 and 2/3. In particular

XT = 2/3 XE

XT = 2/3 * 21

XT = 14

TE = 7

a handbag was purchased for Rs.280/- and sold for Rs.350/- calculate profit%

Answers

Answer:

profit is 25%

Step-by-step explanation:

profit%=sp-cp/cp×100%

=350-280/280×100%

=0.25×100

=25%

Please help me solve this

Answers

Answer:

The 2nd one is 3x+1

The 3rd answer is x+3

Step-by-step explanation:

Given g(x)=4x-1 and f(x)=x-2

Subtracting both

4x-1-(x-2)=4x-1-x+2=x(4-1)+(2-1)=3x+1

The next one is 3x+1-(2x-2)=3x+1-2x+2=x+3


Jessica purchased a DVD that was on sale for 12% off. The sales tax in her county is 3%. Let y represent the original price of the DVD. Write an expression
that can be used to determine the final cost of the DVD. HELP URGENTLY PLEASE

Answers

Answer:

If u add the number it will show u te answer which is 7

Step-by-step explanation:

could you tell me how
to do pls​

Answers

Answer:

f) 60+x+30=180°

90+x=180°

x=180-90

x=90°

g) y+35+75=180°

y+110=180

y=180-110

y=70°

help please i’ve been in here for hours oookung for answers

Answers

F(x) = 3x - 7 is the correct slope-intercept form.

Answer:

f(x) = 3.33x - 7

Step-by-step explanation:

We are suppposed to write the slope intercept form of the line . The slope intercept form of the line is ,

[tex]\rm\implies y = mx + c [/tex]

where ,

m is slopec is y intercept .

Here we can see that the line is passing through (0,-7) . Therefore ,

[tex]\rm\implies y- intercept = -7[/tex]

Also we can see that the line is passing through (2.1,0) . Therefore we can find the slope as ,

[tex]\rm\implies Slope =\dfrac{y_2-y_1}{x_2-x_1}\\\\\rm\implies Slope =\dfrac{ -7-0}{0-2.1}\\\\\rm\implies \bf Slope = 3.33 [/tex]

Using Slope Intercept Form :-

[tex]\rm\implies y = mx + c \\\\\rm\implies y = 3.33x + (-7) \\\\\rm\implies\underline{\boxed{\rm\blue{f(x) = 3.33x - 7 }}}[/tex]

please help !!!



12. JKL = ONM by SAS. Select one set of corresponding parts that could be marked congruent by CPCTC.

Answers

Answer:

D

Step-by-step explanation:

The statement of congruency shows which vertices are corresponding.

Answer: D  

What are the values of x and y? A) X= 9/2; y = 9 B) x = 1843 ; y= 983 C) x= 9; y = 983 OD) x= 913 ; y=9​

Answers

Answer:

Y = 9

Cause the Sin30 = 0.5

and 9² + x² = 18²

324 - 81 = x²

x² = 243

x = 9 √3

The answer becomes "D"

Tanya has a garden with a trench around it. The garden is a rectangle with a length of 2 1/2 m and width 2 m The trench and garden together make a rectangle with length 3 1/2 and width 3m

Find the area of just the trench.

Answers

Answer:

Area of the rectangular trench = 1 square meter

Step-by-step explanation:

length of the garden = 2 1/2 m width of the garden = 2 m

length of both garden and trench = 3 1/2 m

width of both garden and trench = 3m

Length of the trench = Difference in length

= 3 1/2 m - 2 1/2 m

= 7/2 - 5/2

= (7 - 5) / 2

= 2/2

= 1 m

Length of the trench = 1 m

Width of the trench = difference in width

= 3 m - 2 m

= 1 m

Width of the trench = 1 m

Area of the rectangular trench = length × width

= 1 m × 1 m

= 1 m²

Or

1 square meter

Area of the rectangular trench = 1 square meter

5x
If f(x) = 5x and g(x)= 5x/3, find f(x) divided by g(x).

A. 1/3

B. 3

C. 3/25x^2

D. 25x^2/3

Answers

i think its b Step-by-step explanation:

[tex] \frac{5x}{ \frac{5x}{3} } = \frac{15x}{5x} = 3[/tex]

Which of the following statements must be true based on the diagram below?
(Diagram is not to scale.)

Answers

Answer:

i dont know

Step-by-step explanation:

i dont kow

m 2 = aº, m 3 = bº, m 41
a
b
a + b
a-b

Answers

Answer:

m,4+ a+b

Step-by-step explanation:

an exterior angle equals the sum of the 2 opposite interior angles

Find the slope
of the line passing through the points (3, 4)
and
(8, -3).

Answers

Answer:

-7/5

Step-by-step explanation:

I think let me know

Answer:

7/-5  or -7/5

Step-by-step explanation:

This shall be quite an easy problem, I shall be doubting that this is high school, however, I am happy to aid :)

We shall begin by labeling the points given to us to prepare for inputting the values in the slope formula

(3,4).     (8,-3)

x1,y1     x2,y2

Slope Formula:

y1 - y2

x1 - x2

Inputting the values:

4 - (-3)

3 - 8

Solve:

7

-5

The slope of the line passing through the points (3,4) and (8,-3) shall be 7/-5 or -7/5 negatives shall go both ways of fractions

Write the set of non-negative integers in the inequality 2x < 4.

Answers

Answer:

The set [tex]S[/tex] of non-negative integers in the inequality [tex]2x < 4[/tex] is

[tex]S = \{0, 1\}[/tex]

Step-by-step explanation:

The non-negative integers are given as [tex]\mathbb{Z}_{\ge 0} = \{ 0, 1, 2, \ldots \}[/tex]

For the inequality [tex]2x < 4[/tex], we have

[tex]2x < 4 \implies x < \dfrac{4}{2} \implies x < 2[/tex]

Therefore,

[tex]x\in \mathbb{R}:x\in(\infty, 2)[/tex]

Note: 2 is not included

The integers are

[tex]\ldots -2, -1, 0, 1[/tex]

And the non-negative integers are

[tex]0, 1[/tex]

cos(30 +x) =5/3 find x​

Answers

Answer:

no solution

Step-by-step explanation:

Answer:

Step-by-step explanation:

I get no solution also (the answer is imaginary).

Without plotting these numbers, decide which inequalities are true. Check all that apply.
Square root of 7 > 2
Square root of 7 <7
Square root of 7< square root of 8
Square root of 8<2
Square root of 8<8

Answers

Answer:

1st,2nd,3rd, and 5th option

Step-by-step explanation:

Let convert the intergers into radical numbers

[tex] \sqrt{7} > \sqrt{4} [/tex]

[tex] \sqrt{7} < \sqrt{49} [/tex]

[tex] \sqrt{7} < \sqrt{8} [/tex]

[tex] \sqrt{8 } < \sqrt{4} [/tex]

[tex] \sqrt{8} < \sqrt{64} [/tex]

As radical numbers approaches, positive infinity, the answer of the radical gets bigger. So using this explanation,

The first option, Second Option, Third Option, and Fifth Option are true.

Answer:

A, B, C, E

Step-by-step explanation:

Did on edg.  its right

Jack rides his bike 4 miles in 1/3 of an hour. What is jack unit rate in miles per hour?

Answers

Answer:

12 miles

Step-by-step explanation:

1/3 of an hour = 20 minutes = 4 miles

1 minute = 4/20 miles

60 minutes = 4/20 x 60 miles

                   = 4 x 3 miles

                   = 12 miles

60 minutes = 1 hour

=> 1 hour = 12 miles

Jacks unit rate is 12 miles/hr

Answer:

12

Step-by-step explanation:

There are two ways of doing this problem. I think the easiest way is to use a decimal in the denominator and round

4/0.333333333 = 12.000000001

The answer is obviously meant to be 12.

The other way is more sophisticated, but more accurate.

4/1 // 1/3               This is a 4 tier fraction. The rule is to invert the denominator (turn the bottom fraction upside down) and multiply.

4/1 * 3/1 = 12

The first method is easier to understand. The second is more accurate and more useful for physics.

similar right triangles, i need help with this please

Answers

Answer:

Step-by-step explanation:

the answer is a)

the polygons in each pair are similar. Find the missing side length​

Answers

Answer:

Since they are similar, 45/27=30/18=x/24. x=40

The measure of two complementary angles are 2x degree and 3x degree, then value of x is​

Answers

Answer:

2x+3x=90

or ,5x=90

or,x=90/5

X=18

Answer:

90/5=18 degrees

Step-by-step explanation:

what is the volume if the radius is 7m and the height is 9m.​

Answers

63 is the answer because 7x9=53

pls help me both questions
with explanation sum

Answers

9514 1404 393

Answer:

  3) x = 55, y = 123, z = 123

  4) x = 276°

Step-by-step explanation:

3)

Angles P and Q are alternate interior angles, so are congruent.

  P = Q

  3x -42° = 2x +13°

  x = 55° . . . . . . . . . . . add 42°-2x

Then Q = 2x +13 = 2(55°) +13° = 123°.

Angles Y, P, Q, and Z are all congruent, so all have the same measure.

  Y = Z = 123°

__

4)

If you draw a horizontal line parallel to AB and CD through point O, then small angle POQ is divided into parts that are congruent with angles APO and CQO. That is, small angle POQ = 48° +36° = 84°.

Large angle POQ is then 360° -84° = 276°

3 9. There are 180 girls in a mixed school. the ratio of girls to boys is 4:3 find the otal number of students in the school (a) 25 students (b) 315 students (c) 360 students 405 students of the binary numbers:​

Answers

The ratio 4:3 means for every 4 girls there are 3 boys.

Divide total girls by 4, multiply that by 3 to get total boys:

180/4 = 45 x 3 = 135

There are 135 boys

For total students add boys and girls:

180 + 135 = 315 total students

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