In pack of ten books, three are geometry books while the rest are book on algebra. If three books are drawn at random, what is the probability that one of them is geometry book and the others are book on algebra​

Answers

Answer 1

Answer:

21/40.

Step-by-step explanation:

There are 3 geometry and 7 algebra books.

If the geometry book is drawn first probability = 3/10

If the second is algebra P = 7/9.

If the third is algebra P = 6/8 = 3/4.

So the probability  of all three being drawn in this order = 3/10 * 7/9 * 3/4

= 63/360

= 7/40.

Now there are a total of 3 ways in the order they are drawn, That is:

GAA

AGA

AAG.

So the required probability = 3 * 7/40

= 21/40.


Related Questions

¿Qué es y cómo se forman un enlace químico?

Answers

Los enlaces químicos son las fuerzas de atracción que unen a los átomos. Los enlaces se forman cuando los electrones de valencia, los electrones en la “capa” electrónica más externa de un átomo, interactúan. ... Los átomos con electronegatividad igual o similar forman enlaces covalentes, en los que la densidad de electrones de valencia se comparte entre los dos átom

Swimming Pool On a certain hot summer's day, 492 people used the public swimming pool. The daily prices are $1.50 for children and $2.50 for adults. The receipts for admission totaled $1060.00. How many children and how many adults swam at the public pool that day?

There were ______ children at the public pool.​

Answers

Answer:

# of children = 170, # of Adults = 492 - 170 = 322

Step-by-step explanation:

Define C and A as

C = # of children

A = # of adults

Then,

A + C = 492

1.5C + 2.5A = 1060, so that

1.5C + 2.5(492 - C) = 1060

1.5C + 1230 - 2.5C = 1060

-C = 1060 - 1230

C = 170

a. Exactly 117.125 b. Correct to 2 significant figures c. Correct to 2 decimal places d. In standard form ​

Answers

Answer:

b) 11

c)117.12

1.1×10^2

Those are my answer that try

The lengths of the worms (in inches) are listed here.
Which line plot shows this data?

Answers

Answer:

Top Left

Step-by-step explanation:

The numbers all coordinate to that plot

Answer:

Plot #1

Step-by-step explanation:

The easy way is to look for exceptions. The first and last plots missing 7/8 and same with data set.

There are 4 1's in the set which is correct with the first plot.

Which of the following functions has a maximum value of m, where m is a positive constant?
With explanation please.

Answers

The value of m in the fourth equation does not tend to zero, hence the function that has a maximum value of m, where m is a positive constant is[tex]f(x)=-(m+x)^2[/tex]: Option D is correct.  

For any function to have a maximum, the differential of the function must be equal to zero.

If the functions in options A and B and C are differentiated and equated to zero, the values of m in each function will tend to zero as well.

For the function [tex]f(x)=-(m+x)^2[/tex]

[tex]f'(x) = -2(m+x)\times 1\\f'(x)=-2(m+x)\\0 = m+x\\m = -x[/tex]

Since the value of m in the fourth equation does not tend to zero, hence the  function that has a maximum value of m, where m is a positive constant is[tex]f(x)=-(m+x)^2[/tex]  

Learn more here: https://brainly.com/question/12185438

The slope is negative in the graph as you move from left to right the line of the graph is going

Answers

Answer:

Down

Step-by-step explanation:

The line slants downward from left to right if the slope is negative.

Which is the greatest fraction? 1/3 , 1/4 , 2/4 , 3/8

Answers

Answer:1/4 < 1/3 < 3/8 < 2/4 Hope that helps!:)

Step-by-step explanation:

Rewriting as equivalent fractions with the LCD:

1/3 1/4 2/4 3/8

8/24 6/24 12/24 9/24

Sorting this table by the numerators of the equivalent fractions in order from least to greatest:

1/4   1/3   3/8   2/4

6/24 < 8/24 < 9/24 < 12/24

Therefore, the sorted inputs in order from least to greatest is:

1/4 < 1/3 < 3/8 < 2/4

Given: ΔABC ≅ ΔMNP. What is the corresponding angle to ∠A A. ∠B B. ∠N C. ∠M D. ∠P

Answers

Answer:

C. ∠M

Step-by-step explanation:

Answer:

C. < M

Step-by-step explanation:

Congruent triangle notations are written in order of their corresponding parts.

For ΔABC ≅ ΔMNP we have angle A corresponding to angle M

Δ A B C ≅

  ↓  ↓  ↓

Δ M N P

Im not sure what method is best used to solve these types of inequalities.

Answers

Answer:

There is no specific method you can solve it as you like

Step-by-step explanation:

you can do it as a normal equation first get rid of the (x-9) by multiplying the whole radical by x-9/x-9, then you will get rid of the x-9 down and you will have (x-9) . (x+6) . (x-1) [tex]\leq[/tex] 0 then multiply them together and solve it normally. Also dont forget to do the check part :)

If you need further help comment down :)

Answer:

I would say solve for the x value

Step-by-step explanation:

Mrs. O'Brien's hens laid 9 dozen eggs today. Since a dozen is 12, how many eggs did the hens lay? (5th grade math LOL)

Answers

Answer:

108 eggs

Step-by-step explanation:

9×12=108 eggs

Hope it helps!!!

Literal equations ….

Answers

Answer:

c - 215/5 = p

Step-by-step explanation:

[tex]c = 5p + 215 \\ - 215 \: \: - 215 \\ \frac{c - 215}{5} \: \: \: \: \: \frac{5p}{5} \\ \\ \frac{c - 215}{5} \: = \: p[/tex]

Hope this helps! Brainliest would be appreciated!

Answer:

[tex]p=\frac{c - 215}{5}[/tex]

Step-by-step explanation:

Hello!

Solve for p[tex]c = 5p + 215[/tex]

Subtract 215 from both sides

[tex]c - 215= 5p[/tex]

Divide both sides by 5

[tex]\frac{c - 215}{5} = p[/tex]

The solution for p is [tex]p=\frac{c - 215}{5}[/tex]

If x varies directly as y,and x=18x=18when y=3.6,what is x when y=12

Answers

Answer:

x = 60

Step-by-step explanation:

Write an equation using the ratio between x and y:

18/3.6 = x/12 Multiply both sides by 12:

216/3.6 = x

60 = x

Sue's paycheck is $1,040 for 40 hours of work. If she works 30 hours next week, what will her paycheck be?

Answers

Answer: 780

Step-by-step explanation:

1040/40 = 26

If Sue's paycheck contains $1,040 for 40 hours then she gets pay $26 for a hour.

26(30) = 780

To find what her paycheck consist of within 30 hours, you'll multiply 26, the amount she make an hour by 30, hours and you'll get 780.

What is the coefficient of 5(-t)

HELPPP

Answers

Answer:

-5

Step-by-step explanation:

Here are the steps to take in calculating the correlation coefficient:

Determine your data sets.

Calculate the standardized value for your x variables.

Calculate the standardized value for your y variables.

Multiply and find the sum.

Divide the sum and determine the correlation coefficient.


Use the Quadratic Formula to solve for x and then determine whether your solution is real or
complex.
y = x2 + 5x + 6
** Remember y = 0 **
Real
o Complex
1

Answers

Answer:

[tex] x = -2 [/tex]   or   [tex] x= -3 [/tex]

The solution is real.

Step-by-step explanation:

x^2 + 5x + 6 = 0

[tex] x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]

[tex] x = \dfrac{-5 \pm \sqrt{5^2 - 4(1)(6)}}{2(1)} [/tex]

[tex] x = \dfrac{-5 \pm \sqrt{25 - 24}}{2} [/tex]

[tex] x = \dfrac{-5 \pm \sqrt{1}}{2} [/tex]

[tex] x = \dfrac{-4}{2} [/tex]  or  [tex] x = \dfrac{-6}{2} [/tex]

[tex] x = -2 [/tex]   or   [tex] x= -3 [/tex]

The solution is real.

yeeeeeeeeeeeeetaco avatar
yeeeeeeeeeeeeetaco
05/08/2021
Mathematics
High School
answered
Alex has some marbles.
Billie has three times as many marbles are Alex.
Chris has 9 fewer marbles than Billie.
In total they have 68 marbles.
How many marbles does Alex have?

Answers

can you say me from which cource is this

Rewrite the linear equation in the form y = mx + b.

x + 2y = -8 ​

nonsense answers will be reported.

Answers

Please find attached photograph for your answer.

Write a function rule that represents b less than 8 is a.

A. b-8=a
B. 8-b=a
C. a=b-8
D. a=b+8

Answers

Answer:

Step-by-step explanation: b-8=a

A car dealer will sell you a used car for $6,898 with $798 down and payments of $169.51 per month for 48 months. What is
the APR? (Round your answer to the nearest tenth of a percent.)
%

Answers

Answer:

d

Step-by-step explanalime boba no other

Highest common factor of 32,48,72

Answers

Answer:

8

Step-by-step explanation:

32 = 2 x 2 x 2 x 2 x 2

48 = 2 x 2 x 2 x 2 x 3

72 = 2 x 2 x 2 x 3 x 3

HCF ( 32, 48, 72 )

= 2 x 2 x 2

= 8

The correct answer is 8

Two cars leave the same point at the same time traveling in opposite directions. One car travels west at 20 mph and the other travels east at 60 mph. In how many hours will they be 280 miles apart?

Answers

9514 1404 393

Answer:

  3.5 hours

Step-by-step explanation:

The separation distance is increasing at the rate of 20 mph + 60 mph = 80 mph. It will be 280 miles after ...

  time = distance/rate

  time = (280 mi)/(80 mi/h) = 3.5 h

The two cars will be 280 miles apart after 3 1/2 hours.

Is this the correct sum, be honest pls.

Answers

Answer:

the answer is B. the sum will be close to ½

½= 14/28

1/4 + 2/7

= (7+8)/28

= 15/28

so, the answer is B

Step-by-step explanation:

hope it helps you

brainliest plz

PLEASE HURRY!! WILL GIVE BRAINLIEST
In the space below, use the law of sines or trigonometric ratios to find each length. Round your answer to 1 decimal place. (4 points total: 1 point each)
a. The length of the zip line, z
b. The height of the point on the tree where the top of the ladder rests against it, h
c. The distance between the base of the ladder and the base of the tree, b
d. The distance between the base of the tree and the spot where the zip line is anchored to the ground, B

Answers

Trigonometric ratios are useful in calculating the side lengths of a triangle.

The length of the zip line is 222.5 ftThe height where the ladder rests against the tree is 38.6 ftThe distance between the base of the ladder and that of the tree is 10.4 ftThe distance between the base of the tree and the spot where the zip line is anchored to the ground is 219.1 ft

(a) Length, z

First we calculate (h) using the following sine ratio

[tex]\mathbf{sin(75) = \frac{h}{40}}[/tex]

Make h the subject

[tex]\mathbf{h = 40sin(75)}[/tex]

Next, we calculate (z) using the following sine ratio

[tex]\mathbf{sin(10)= \frac{h}{z}}[/tex]

Make z the subject

[tex]\mathbf{z= \frac{h}{sin(10)}}[/tex]

Substitute [tex]\mathbf{h = 40sin(75)}[/tex]

[tex]\mathbf{z= \frac{40sin(75)}{sin(10)}}[/tex]

[tex]\mathbf{z= 222.5 ft}[/tex]

Hence, the length of the zip line is 222.5 ft

(b) The height, h

In (a), we have

[tex]\mathbf{h = 40sin(75)}[/tex]

Evaluate

[tex]\mathbf{h = 38.6}[/tex]

Hence, the height where the ladder rests against the tree is 38.6 ft

(c) The distance, b

To do this, we make use of the following sine ratio

[tex]\mathbf{sin(15) = \frac{b}{40}}[/tex]

Make b the subject

[tex]\mathbf{b = 40sin(15)}[/tex]

[tex]\mathbf{b = 10.4}[/tex]

Hence, the distance between the base of the ladder and that of the tree is 10.4 ft

(d) Distance, B

To do this, we make use of the following sine ratio

[tex]\mathbf{sin(80) = \frac{B}{z}}[/tex]

Make B the subject

[tex]\mathbf{B = z\ sin(80)}[/tex]

Substitute [tex]\mathbf{z= 222.5 ft}[/tex]

[tex]\mathbf{B = 222.5\ sin(80)}[/tex]

[tex]\mathbf{B = 219.1}[/tex]

Hence, the distance between the base of the tree and the spot where the zip line is anchored to the ground is 219.1 ft

Read more about trigonometry ratios at:

https://brainly.com/question/24888715

THIS IS FOR THE 25 FT LADDER NOT THE 40 FT LADDER!!! THE ALTERNATIVE!!!

The length of the zip line is 139.1 ft
The height where the ladder rests against the tree is 24.1 ft
The distance between the base of the ladder and that of the tree is 6.5 ft
The distance between the base of the tree and the spot where the zip line is anchored to the ground is 137.0 ft
(a) Length, z

First we calculate (h) using the following sine ratio
Sin(75)=h/25

Make h the subject
h=25sin(75)

Next, we calculate (z) using the following sine ratio
Sin(10)=h/z

Make z the subject
z=h/sin(10)

Substitute
h=25sin(75)
z= 25sin(75)/sin(10)
z=139.1 ft


Hence, the length of the zip line is 139.1 ft

(b) The height, h

In (a), we have
h=25sin(75)

Evaluate
h=24.1 ft

Hence, the height where the ladder rests against the tree is 24.1 ft

(c) The distance, b

To do this, we make use of the following sine ratio
sin(15)=b/40

Make b the subject
b=25sin(15)
b= 6.5 ft

Hence, the distance between the base of the ladder and that of the tree is 6.5 ft

(d) Distance, B

To do this, we make use of the following sine ratio
sin(80)=B/z

Make B the subject
B=z sin(80)

Substitute
z=139.1 ft
B=139.1 sin(80)
B=137.0 ft
Hence, the distance between the base of the tree and the spot where the zip line is anchored to the ground is 137.0 ft


Credit to the person above me for the format <3

Patty is ordering vests for her scout troop to wear in the Veterans Day parade. She ordered 12 vests from the Festive Features clothing shop. Since this was a bulk order, Festive Features reduced the price of each vest by $6. The total came to $132. Which equation can you use to find the amount, v, Festive Features normally charges for a vest?

Answers

Algebraic equations are equations that have coefficients and unknown variables in them.

The equation that you can use to find the amount "v" Festive features normally charges for a vest is: 12(v - 6) = 132

The current cost per vest was v - $6

Where v = Initial cost of the vest

The total cost of 12 vests after price reduction was:

$132.

Hence, our equation is given as:

$132 = 12(v - $6)

12(v - 6) = 132

$132 = 12v - 72

Add 72 to both sides

$132 + 72 = 12V

204 = 12v

v = 204/12

v = $17

Thus: The amount  v, Festive Features normally charges for a vest is $17

Therefore, the equation to find the amount Festive Features normally charges for a vest is 12(v - 6) = 132

To learn more, visit the link below:

https://brainly.com/question/24993449

someone plz help me asap I will make you brainlist

Answers

answer: -28
7/2=3.5
3.5x-8=-28

This density curve represents the amount of time students spend waiting for their morning bus to school.
if the median of the density curve is 1.5, which value could be the mean of the density curve?

(B) - μ = 2.5
(the answer)​

Answers

Can u mark me brainliest since u answered already.

Answer:

B

Step-by-step explanation:

e2020

Each side of a square calendar is 19 inches long. What is the calendar's perimeter?

Answers

Answer:

a square has 4 sides each of those sides is 19in long perimeter is all around the square so you would add 19+19+19+19=79in

Answer: What is 76'' perimeter

19" side

P=4a=4·19=76in

Please allow me to know if my answer helped you by clicking thank you, rating or brainly.

Miss Hawaii

2) A pizza and bottle of soda together cost $14. If the pizza costs 6 times the price of the bottle
of soda, what is the price of each item?
HELP!!

Answers

Answer:

$14.6

Step-by-step explanation: because adding how all they are in total.

How do you write 0.8 as a percentage?

Answers

0.8 as a percentage is 80%

Answer:

.8 equals 80%

Step-by-step explanation:

To find the percentage you multiply the decimal by 100 so .8 multiplyed by 100 equals 80 or 80%

Calculate the quotient of 54256/45 round to the nearest tenth

Answers

Answer:

3.4

Step-by-step explanation:

will 3.4 is is rounded of 54256 in decamal

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