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

–12+33a −46a

SIMPLIFY

Answers

Answer:

-12-13a

Step-by-step explanation:

[tex]\sqrt{72x^{7} q^{8} }[/tex]

Answers

Attachment picture is the solution. Please mark me brain if you think it help. Thank you!

I will give Brainliest :)​

Answers

Answer:

Step-by-step explanation:

PLEASE ANSWER ASAP
i can't figure out the answer

Answers

Answer is C have a nice day

What are the three major responsibilities of the county sheriff? (Site 1)

Answers

Answer:1. They make policies

2. They perform executive duties

3. They plan environmental and land use policy

Step-by-step explanation:

Answer:

To become rich

Step-by-step explanation:

I'm rich so

which is an appropriate estimate for the following 62,372/29?

Answers

Answer:

=62372/29

=2150.758621 ans.

mark me brainlist plz.

Answer:

Step-by-step explanation:

62,372/29 = about 2150

Explain why there is not enough information to state that CP is the perpendicular bisector of AB.

Answers

Answer:

First, we need to know if AP is equal to PB. We don't really know that CP passed through the midpoint of AB. We also don't know if CPA is equal to CPB. This is why there is not enough information to state that CP is the perpendicular bisector of AB.

Step-by-step explanation:

A perpendicular bisector is a segment that passes through a midpoint of a segment and is perpendicular to it.

-kiniwih426

Find the value of m if 2y³+my²+11y+m+3 is exadly divisible by (2y-1)​

Answers

2y3 + my2 + 11y + m + 3 is exactly divisible but (2y-1) is

-7

[tex]\large\underline{\sf{Solution-}}[/tex]

Given that:

[tex]\sf p(y) = 2y^3+my^2+11y+m+3 [/tex]

We are also given that, p(y) is divisible by 2y - 1.

So, 2y - 1 is a factor of p(y).

[tex]\sf\longmapsto 2y-1=0[/tex]

[tex]\sf\longmapsto y=\dfrac{1}{2}[/tex]

So, 1/2 is a zero of p(y).

[tex]\sf\longmapsto p(1/2) =0 [/tex]

[tex]\sf\longmapsto p(y) = 2y^3+my^2+11y+m+3 [/tex]

[tex]\sf\longmapsto p\left(\dfrac{1}{2}\right) = 2\left(\dfrac{1}{2}\right)^3+m\left(\dfrac{1}{2}\right)^2+11\left(\dfrac{1}{2}\right)+m+3 [/tex]

So,

[tex]\sf\longmapsto p\left(\dfrac{1}{2}\right) = 2\left(\dfrac{1}{8}\right)+m\left(\dfrac{1}{4}\right)+11\left(\dfrac{1}{2}\right)+m+3 [/tex]

[tex]\sf\longmapsto p\left(\dfrac{1}{2}\right) = \dfrac{1}{4}+\dfrac{m}{4}+\dfrac{11}{2}+m+3 [/tex]

[tex]\sf\longmapsto p\left(\dfrac{1}{2}\right) =\dfrac{1}{4}+\dfrac{m}{4}+\dfrac{22}{4}+\dfrac{4m}{4}+\dfrac{12}{4} [/tex]

[tex]\sf\longmapsto 0 =\dfrac{1+m+22+4m+12}{4} [/tex]

[tex]\sf\longmapsto 0 =\dfrac{5m+35}{4}[/tex]

[tex]\sf\longmapsto 5(m+7)=4\times0[/tex]

[tex]\sf\longmapsto 5(m+7)=0[/tex]

[tex]\sf\longmapsto m+7=0[/tex]

[tex]\longmapsto\bf m=-7[/tex]

Therefore, the value of m is -7.

What does an atomic number represent in an atom?

Question 3 options:

number of isotopes


number of protons


number of ions


number of neutrons

Answers

Answer:

Protons

Step-by-step explanation:

The Periodic Table is arranged according to the atomic number of an element which is based on the number of protons in the nucleus

PLEASE NO ONE WILL HELP ME WITH THIS
Find a sequence of rotations, reflections, translations, and dilations showing that one figure is similar to the other.
BE SPECIFIC: give the amount and direction of a translation, a line of reflection, the center and angle of a rotation, and the cent and scale factor of a dilation.

Answers

Answer:

ABCD dilates in a scale of 1/3 by the center of A followed by a reflection of C.

AD/AD = 1/3

Step-by-step explanation:

A scale model of the Great Pyramid of Giza is being installed in a museum. The edges of the square base have lengths of 5.6 feet and the height of the pyramid is 7.86 feet. Using these measurements, to how many significant figures could the volume of the pyramid be reported? Please help !!!
A. 1 significant figure
B. 2 significant figures
C. 3 significant figures
D. 4 significant figures

Answers

The answer to the question to how many significant figures could the volume of the pyramid be reported is B. 2 significant figures.

Since in multiplication, we cannot have more significant figures than the number with the least significant figures. So, the number of significant figures in our volume of the pyramid will be 2 since, the length of side of its square base measures 5.6 feet which is one significant figure less than that of its height which is 7.86 feet.

Since volume = area of base × height

volume = 5.6 × 5.6 × 7.86 ft³

So, the answer volume of the pyramid will have 2 significant figures.

The answer to the question to how many significant figures could the volume of the pyramid be reported is B. 2 significant figures.

Learn more about significant figures here:

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Referring to the Fig. in Question #19, given FGHI≅WXYZ,
find m∠Y

Answers

Answer:

m∠Y= 120

Step-by-step explanation:

Given,

FGHI≅WXYZ

m∠H=m∠Y [ Corresponding parts of congruent figures]

m∠Y= 120

eduardo took a survey to find out how many students in his school have a pet, there are 1,000 students in the school. 20% of them have a pet how many students in eduardo's school have a pet. help

Answers

Answer:

200

Step-by-step explanation:

dude ur in college how do you not know this?

answer question right or else

Answers

Answer:

60

Step-by-step explanation:

yes, it's a question

have a great day

the answer to your question is 60, i found this by taking 30/1 multiplied by 5/100

this one as well please

Answers

Answer:

i need points

Step-by-step explanation:

i need points

Okay, so, start by rearranging the problem (because it’s multiplication, you can do that), you get

(sin^2(x)-cos^2(x))*cos(x)*sec(x) + cos^2(x)

cos and sec are inverses, so they cancel each other out leaving you with

sin^2(x)-cos^2(x)+cos^2(x)

The cos^2(x) cancel each other out leaving you with

sin^2(x)

HELP HELP HELP !!!!!

Answers

Answer:

4294967296 Kilograms

Step-by-step explanation:

Great Pyramid has 2^21 blocks

2^21 = 2097152, so

2097152 blocks

Blocks weigh 2^11 each

2^11 - 2048, so

2048 kg per block

2097152(number of blocks) x 2048(weight in kilograms per block) = The Great Pyramid in Egypt weighs 4294967296 Kilograms

Step-by-step explanation:

More than 2,300,000 limestone and granite blocks were pushed, pulled, and dragged into place on the Great Pyramid. The average weight of a block is about 2.3 metric tons (2.5 tons).

How much is that? Well, you can think of it in terms of refrigerators. An average refrigerator weighs about 91 kg. If 1 metric ton = 1,000 kg, how many refrigerators equal a 2.3-metric ton block?

A 25 refrigerators

B 5 refrigerators

C 90 refrigerators

(hope this helps!)

16 31 Here is a compound shape made from two rectangles. - 6 cm 4 cm NOT DRAWN 9 cm TO SCALE 12 cm n ek NO ME (a) Calculate the perimeter of the shape. cm (1 EN UN​

Answers

Answer:

Well perimeter is adding up all the sides since it's a rectangle the first one is just 6 + 6 + 4 + 4 = 20 cm

The second would be 9 + 9 + 12 + 12 = 42 cm if this is not an option or if it is wrong let me know and I will try again


Brandon is offered two jobs. One has a starting salary of $32,000 plus a raise of $1,000 every year. The other offers a starting salary of $28,000 plus a raise of $1,800
when the two jobs will have the same salary?

Answers

The difference in starting pay:

32,000 - 28,000 = 4,000

The difference in raises:

1,800 -1,000 = 800

Number of years to be the same:

4,000 / 800 = 5

Answer 5 years

Two or more expressions with an Equal sign is called as Equation. After 5 years the two jobs will have the same salary

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Given that,

Brandon is offered two jobs. One has a starting salary of $32,000 plus a raise of $1,000 every year.

The other offers a starting salary of $28,000 plus a raise of $1,800.

The difference in starting pay:

Thirty two thousand minus twenty eight thousand equal to four thousand.

32,000 - 28,000 = 4,000

The difference in raises:

Eighteen thousand minus thousand equal to eight hundred.

1,800 -1,000 = 800

Number of years to be the same:

4,000 / 800 = 5

Hence after 5 years the two jobs will have the same salary.

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Item 4
Which expressions are equivalent to 1.3−4x−3.7 ?

Select all correct answers.


−0.6−4−x

−4(x+0.6)

−x−x−x−x−2.4

−4x−2.4

Answers

Answer:

b,c and d are the answers

Step-by-step explanation:k12

Expressions (B), (C), and (D) are all equivalent to the given expression 1.3−4x−3.7.

What are expressions?An expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles.An expression in mathematics is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division, etc.)

So, the expressions equivalent to 1.3−4x−3.7 are:

Solve: 1.3−4x−3.7

1.3−4x−3.7- 2.4 - 4x

Now, calculate for - 2.4 - 4x:

(A) −0.6−4−x:

-4.6 - x ≠ - 2.4 - 4x

(B) −4(x+0.6)

- 2.4 - 4x = - 2.4 - 4x

(C) −x−x−x−x−2.4

- 2.4 - 4x = - 2.4 - 4x

(D) −4x−2.4

- 2.4 - 4x = - 2.4 - 4x

Therefore, expressions (B), (C), and (D) are all equivalent to the given expression 1.3−4x−3.7.

Know more about expressions here:

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Correct question:
Which expressions are equivalent to 1.3−4x−3.7?

Select all correct answers.

(A) −0.6−4−x

(B) −4(x+0.6)

(C) −x−x−x−x−2.4

(D) −4x−2.4

Find an equation for the graph below

Answers

Answer:

y=4/5x-0.8

Step-by-step explanation:

PLZ HURRY IM TIMEDDD

Sameer chose 12 different toppings for his frozen yogurt sundae, which was Three-fourths of the total number of different toppings available at the make-your-own sundae shop. To determine the number of different toppings available at the shop, Sameer set up and solved the equation as shown below.


Three-fourths = StartFraction x over 12 EndFraction. Three-fourths (12) = StartFraction x over 12 EndFraction (12). 9 = x.


Which best describes the error that Sameer made?
Sameer did not use the correct equation to model the given information.
Sameer should have multiplied both sides of the equation by Four-thirds instead of by 12.
The product of Three-fourths(12) is not equal to 9.
The product of Four-thirds and StartFraction 1 over 12 EndFraction should have been the value of x.

Answers

Answer:

B, second option: the product of three fourths is not equal to 9

The error made by Sameer while creating the algebraic equation: Sameer did not use the correct equation to model the given information.

What is algebraic equation?

An algebraic equation can be defined as a mathematical statement in which two expressions are set equal to each other.

It is given that Three-fourths of the total number of different toppings available at the make-your-own sundae shop = 12

The algebraic equation given by Sameer is wrong, the correct equation will be:

Let the total number of toppings be x.

[tex]\frac{3}{4} x = 12\\ \\x = 12 (\frac{4}{3} ) = 16[/tex]

Learn more about algebraic equation here

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Given :   Isaac is purchasing two pairs of shoes—one pair for $37.00 and the second pair for $42.00. The state sales tax applied to Isaac’s bill is 7%.

To Find : How much is Isaac’s total bill?  

b) 25% discount off  before tax

Solution:

one pair for $37.00

second pair for $42.00

Total Bill before taxes = 37 + 42 =  79 $

7 % Sale Tax = (7/100)79 = 5.53 $

Isaac’s total bill = 79 +  5.53  = 84.53  $

Total Bill before taxes = 37 + 42 =  79 $

Discount 25 % = (25/100)79 = 19.75$

Total Bill before taxes = 79 - 19.75 = 59.25 $

7 % Sale Tax = (7/100)59.25 =4.1475 $

Isaac’s total bill = 59.25  +  4.1475  = 63.3975  $

Please post Question one by one

Learn More:

The sales tax on a surfboard is $12. What is the percent of sales tax ...

brainly.in/question/8461319

An article is avilable for rs1540 inclusive of sales tax at 10% .what ...

Find the product (answer )

-3/10 x 7/10

A) 21/100
B) 4/10
C) -21/100
D) -2/5

Answers

Answer:

[tex]C) -21/100=-0.21[/tex]

Step-by-step explanation:

[tex]→\frac{- 3}{10} \times \frac{7}{10} [/tex]

[tex]→ \frac{ - 3 \times 7}{10 \times 10} [/tex]

[tex] →\frac{ - 21}{100} [/tex]

Answer:

[tex]c) \frac{ - 21}{100} [/tex]

Step by step Explanation:

[tex] \frac{ - 3}{10} \times \frac{7}{10} = \frac{ - 21}{100} \: \: \\ option \: c \: is \: correct[/tex]

Solve for x. −23(3x−4)+3x=56

A. x=−196 ​

B. x=−116 ​ ​

C. x=216 ​

D. x=296

Answers

Answer:

x = 6/11

Step-by-step explanation:

−23(3x−4)+3x=56

Distribute

-69x + 92 +3x = 56

Combine like terms

-66x+92 = 56

Subtract 92 from each side

-66x+92-92 = 56-92

-66x =-36

Divide each side by -66

-66x/-66 = -36/-66

x = 6/11

Answer:

x=6/11

Step-by-step explanation:

Consider the following, what is the summation of all solutions?
(2x+4)^2+1=5

Answers

Answer:

- 4

Step-by-step explanation:

(2x + 4)² + 1 = 5 ← expand left side using FOIL and simplify

4x² + 16x + 16 + 1 = 5

4x² + 16x + 17 = 5 ( subtract 5 from both sides )

4x² + 16x + 12 = 0 ( divide terms by common factor 4 )

x² + 4x + 3 = 0 ← in standard form

(x + 3)(x + 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

x + 1 = 0 ⇒ x = - 1

Summation of solutions = - 3 + (- 1) = - 3 - 1 = - 4

What is the coordinate of the midpoint of the
line segment with endpoints

(-8,11)&(14,-21)

Answers

Answer:-

The correct answer is :-

(3,-5)

Step by step explanation:-

-8+14/2 , 11+-21/26/2 , -10/23,-5

Hope it helps !

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give the quadratic sequence 2,3,10,23,........
write down the next term of the sequence.​

Answers

Answer:

The next term of the sequence is 42

1. Solve 4x – 5 > 2x + 17.
There’s a line _ under the greater sign

Answers

Answer:

X is grater than or equal to 6

Step-by-step explanation:

4x -5 > 2x + 17

+5 > 2x - 5

4x > 2x + 12

--

4

Homework help please

Answers

Answer:

h=-136

Step-by-step explanation:

..............

Find x Please Help Thank You

Answers

uhhhhhhhhhhhhhhhhh i have no clue so sorry

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