6. A store orders 8 boxes of notebooks.
There are 144 notebooks in each box
Use breaking apart to find how many
notebooks the store ordered.

(a)  [tex]\frac{26}{51}[/tex]

(b)  [tex]\frac{26}{51}[/tex]

(i) Probability is the likelihood of whether or not an event will occur. It is given by the ratio of the number of favourable outcomes to the number of expected outcomes. i.e

P = number of favourable outcomes / total number of possible outcomes

For drawing a first card which is black,

number of favourable outcomes = 26 (since there are a total of 26 black cards in a deck of card)

total number of possible outcomes = 52 (since the total number of cards in a deck of card is 52)

∴ Probability of drawing the first black card = 26 / 52 = 1 / 13

Since the second card is not a black card, it is a red card.

number of favourable outcomes = 26 (since there are a total of 26 red cards in a deck of card)

total number of possible outcomes = 51 (since a black card has been previously picked from the deck)

∴ Probability of drawing a second black card = 26 / 51

The probability that the second is not a black card is 26 / 51

(ii) The conditional probability of a given event B is the probability that the event will occur knowing that a previous event A has already occurred,

It is given by;

P(B|A) = P(A and B) ÷ P(A)

In this case;

event B is drawing a second card which is not black

event A is drawing a first card which is black

This implies that;

P(A and B) = [tex]\frac{1}{13}[/tex] x [tex]\frac{26}{51}[/tex]

P(A) = [tex]\frac{1}{13}[/tex]

Substitute these values in the equation for conditional probability as follows;

P(B|A) = [tex]\frac{1}{13}[/tex] x [tex]\frac{26}{51}[/tex] ÷ [tex]\frac{1}{13}[/tex]

P(B|A) = [tex]\frac{1}{13}[/tex] x [tex]\frac{26}{51}[/tex] x [tex]\frac{13}{1}[/tex]

P(B|A) = [tex]\frac{26}{51}[/tex]

Therefore the conditional probability is  [tex]\frac{26}{51}[/tex]

Answer:

Step-by-step explanation:

If this is linear, then the difference between each x/y coordinate is constant, representing the slope of a straight line. We can find the slope of that line by using the slope formula:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

For use we will use the coordinates (11, 24.15) and (12, 26.05) from the data as our x and y values respectively. Filling in the formula:

[tex]m=\frac{26.05-24.15}{12-11}[/tex] which gives us the cost per gallon of gas as

m = 1.90

Now that we know the cost per gallon of gas (which is also the slope of the line we are looking for), we will use that slope value, m, and write the equation in point-slope form and then solve it for y. Point-slope form of a line is

[tex]y-y_1=m(x-x_1)[/tex] where y1 and x 1 are the coordinates from a given data point. We can use either one; regradless of the point we choose as x and y, we'll get the same exact answer every time. Let's use the coordinate (12, 26.05) and fill in the point-slope form of the line:

y - 26.05 = 1.90(x - 12) and then we will distribute and solve for y:

y - 26.05 = 1.90x - 22.80 and

y = 1.90x + 3.25

That's the equation we need to solve for what the second part of the question is asking us to, which is to find the cost, y, of filling a tank that is 26 gallons, x. Fill in 26 for x and solve for y:

y = 1.90(26) + 3.25 and

y = 49.40 + 3.25 so

y = $52.65

Answer:

SA=160

Step-by-step explanation:

surface area of cuboid=2lw+2wh+2hl

=2(12)(4)+2(4)(2)+2(2)(12)

=96+16+48

=160

MARK ME BRAINLIEST THANKS MY ANSWER PLEASE

Answer:

341.6

Step-by-step explanation:

This problem asks one to subtract (58.4) from (400).

400 - 58.4 = 341.6

Less than is subtraction.

Subtract 58.4 from 400

400 - 58.4 = 341.6

The answer is 341.6

Answer:

a = 8 * (2)^(2x)

Step-by-step explanation:

There are 2 12hours periods in a day

a = 8 * (2)^(2x)

Answer:

2f+3g+2h

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Maria has $5.00 more than José

Maria, M

Jose, j

M = j + $5

j + M = $37.50

j + j + $5 = $37.50

The amount of money José has is $16.25.

An equation can be defined as a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value.

Maria has $5.00 more than José.

Together they have. $37.50.

Let, the amount of money José has be x.

Based on the given conditions, formulate:

[tex]\rm 5+2\times x=37.50\\\\5+2x=37.50\\\\2x=37.50-5\\\\2x=32.50\\\\x=\dfrac{32.50}{2}\\\\x= 16.25[/tex]

Hence, the amount of money José has is $16.25.

Learn more about equation here;

brainly.com/question/21511618

#SPJ2

Answer:

Identify the assumptions and goals of the theorem. Understand the implications of each of the assumptions made. Translate them into mathematical definitions if you can. Make an assumption about what you are trying to prove and show that it leads to a proof or a contradiction.

Step-by-step explanation:

Answer:

There are many different ways to go about proving something, discuss 3 methods: direct proof, proof by contradiction, proof by induction. Identify the assumptions and goals of the theorem. Understand the implications of each of the assumptions made. Translate them into mathematical definitions if you can. Make an assumption about what you are trying to prove and show that it leads to a proof or a contradiction

hope this helps

have a good day :)

Step-by-step explanation:

give the other person brainliest pls

Answer:

diameter = 18.8 ft

circumference = 56.1 ft

Step-by-step explanation:

diameter = 2 x radius = 2 x 9.4 = 18.8 ft

circumference = 2[tex]\pi[/tex]r = 2[tex]\pi[/tex](9.4) = 56.061 rounded to the nearest tenth is 56.1

Answer:

The probability that the month starts with the letter J or the letter M is 41.66%.

Step-by-step explanation:

Given that a month of the year is chosen at random, to determine what is the probability that the month starts with the letter J or the letter M, the following calculation must be performed:

January - March - May - June - July = 5 months

(5/12) x 100 = X

0.4166 x 100 = X

41.66 = X

Therefore, the probability that the month starts with the letter J or the letter M is 41.66%.

Answer:

5/12

Step-by-step explanation:

Months that start with the letter M are March and May

Months that start with J are January, June, July

So, in total the months that start with J and M are 5 in number.

Total number of months = 12

Therefore the probability = 5/12 or 0.416 (bar on 6)

Hope u understood

Please mark as brainliest

Thank You

Answer:

8/5

Step-by-step explanation:

First find h(-3)

 h(-3)= 4-(-3) = 4+3 = 7

Then take this result and find g(h(-3)) = g(7)

g(7) = (7+1)/( 7-2) = 8/5

Complete question is;

Lorenzo wants to know how much it will cost to rent tables and chairs for an event. He investigates renting tables and chairs and decides to use two different companies. Company A $4 per table (seats 4) and a $25 one-time delivery and pickup fee Company B $2 per chair and a $15 one-time delivery and pickup fee Each table seats 4 people, so Lorenzo needs to rent 4 chairs for every table. x = number of tables Cost to rent tables from Company A: f(x) = 4x + 25 Cost to rent chairs from Company B: g(x) = 2(4x) + 15 Which function represents the total cost for Lorenzo to rent x number of tables and the chairs he needs to go with them?

A) 12x

B) 12x² + 40

C) 12x + 40

D) 8x + 40

Answer:

C: 12x + 40

Step-by-step explanation:

We are told that the Cost to rent tables from Company A is;

f(x) = 4x + 25

Also, we are told that the Cost to rent tables from Company B is;

g(x) = 2(4x) + 15

Thus, total cost for Lorenzo to rent x number of tables and the chairs he needs is;

Total = f(x) + g(x)

Total = 4x + 25 + 2(4x) + 15

Total = 4x + 25 + 8x + 15

Total = 12x + 40

Find common denominators, note that what you multiply (or divide) to the denominator, you must also do the same to the numerator.

1)

[tex]\frac{2}{3} , \frac{3}{4} \\\frac{2}{3} * \frac{4}{4} = \frac{8}{12} \\\frac{3}{4} * \frac{3}{3} = \frac{9}{12}[/tex]

Answers: [tex]\frac{8}{12} ; \frac{9}{12}[/tex]

2)

[tex]\frac{1}{4} , \frac{2}{3} \\\frac{1}{4} * \frac{3}{3} = \frac{3}{12}\\\frac{2}{3} * \frac{4}{4} = \frac{8}{12}[/tex]

Answers: [tex]\frac{3}{12} ; \frac{8}{12}[/tex]

3)

[tex]\frac{3}{10} , \frac{1}{2} \\\frac{3}{10} * \frac{1}{1} = \frac{3}{10}\\\frac{1}{2} * \frac{5}{5} = \frac{5}{10}[/tex]

Answers: [tex]\frac{3}{10} ; \frac{5}{10}[/tex]

4)

[tex]\frac{3}{5} , \frac{3}{4}\\\frac{3}{5} * \frac{4}{4} = \frac{12}{20}\\\frac{3}{4} * \frac{5}{5} = \frac{15}{20}[/tex]

Answers: [tex]\frac{12}{20} ; \frac{15}{20}[/tex]

5)

[tex]\frac{2}{4} , \frac{7}{8} \\\frac{2}{4} * \frac{8}{8} = \frac{16}{32}\\\frac{7}{8} * \frac{4}{4} = \frac{28}{32}[/tex]

Answers: [tex]\frac{16}{32} ; \frac{28}{32}[/tex]

6)

[tex]\frac{2}{3} , \frac{5}{12}[/tex]

[tex]\frac{2}{3} * \frac{12}{12} = \frac{24}{36} \\\frac{5}{12} * \frac{3}{3} = \frac{15}{36}[/tex]

Answers: [tex]\frac{24}{36} ; \frac{15}{36}[/tex]

7)

[tex]\frac{1}{4} , \frac{1}{6} \\\\\frac{1}{4} * \frac{6}{6} = \frac{6}{24} \\\frac{1}{6} * \frac{4}{4} = \frac{4}{24}[/tex]

Answers: [tex]\frac{6}{24} ; \frac{4}{24}[/tex]

Find common denominators, note that what you do to the denominator, you do to the numerator:

8.

[tex]\frac{1}{2} [] \frac{2}{5} \\(\frac{5}{5}) \frac{1}{2} [] \frac{2}{5} (\frac{2}{2})\\\frac{5}{10} \neq \frac{4}{10}[/tex]

Answer: Does not equal.

9.

[tex]\frac{1}{2} [] \frac{3}{6} \\\frac{1}{2} (* \frac{3}{3}) [] \frac{3}{6}\\\frac{1 * 3}{2 * 3} [] \frac{3}{6} \\\frac{3}{6} = \frac{3}{6} \\\\\frac{1}{2} = \frac{3}{6}[/tex]

Answer: Does equal.

10.

[tex]\frac{3}{4} [] \frac{5}{6}\\(\frac{6}{6})\frac{3}{4} [] \frac{5}{6}(\frac{4}{4})\\\frac{18}{24} \neq \frac{20}{24}[/tex]

Answer: Does not equal.

11.

[tex]\frac{6}{10} [] \frac{3}{5} \\\frac{6}{10} [] (\frac{3}{5} )(\frac{2}{2})\\\frac{6}{10} [] (\frac{3 * 2}{5 * 2})\\\frac{6}{10} = \frac{6}{10}[/tex]

Answer: Does equal.

12. You are simply only looking for the least number of parts that both rectangles can be divided too. Find the least common multiple of both 3 and 4:

Multiples of 3: 3, 6, 9, 12

Multiples of 4: 4, 8, 12

12 is your answer.

13. Find common denominators. Note that what you do to denominator, you do to the numerator:

[tex]\frac{2}{5} * \frac{2}{2} = \frac{4}{10}\\\frac{1}{2} * \frac{5}{5} = \frac{5}{10}[/tex]

Answers: [tex]\frac{4}{10}[/tex] , [tex]\frac{5}{10}[/tex]

~

Answer:

7.18 / minute.

Step-by-step explanation:

The number of minutes in 2015 = 365 * 24 * 60 = 525,600.

So  birth rate = 3,774,000 /   525,600

= 7.18

Answer: The shorter side = 11.83 cm

Step-by-step explanation:

The diagonal of a rectangle creates a right triangle with its adjacent sides.

Given: The diagonal and the longer side of a rectangle make an angle of 43.2°. If the longer  side is 12.6cm.

According to trigonometry,

[tex]\tan x=\frac{\text{Side opposite to x}}{\text{Side adjacent to x}}[/tex]

[tex]\tan 43.2^{\circ}=\frac{\text{Shorter side}}{12.6 }\\\\0.93906251=\frac{\text{Shorter side}}{12.6}\\\\ \text{Shorter side}=12.6\times 0.93906251\\\\=11.832187626\approx11.83\ cm[/tex]

Hence, the shorter side = 11.83 cm

Answer:

the answer is b

Step-by-step explanation:

Answer:

b: 78.5cm²

Step-by-step explanation:

answer is b my friend

Answer: x = 28

Step-by-step explanation:

Let's solve your equation step by step!

3/8x + 15/2 = 18

Step 1: Subtract 15/2 from both sides.

3/8x + 15/2 - 15/2 = 18 - 15/2

3/8x = 21/2

Step 2: Multiply both sides by 8/3

(8/3) * (3/8x) = (8/3) * (21/2)

Step 3. Calculate

x = 28

Answer:

38

Step-by-step explanation:

To find the median, make sure the number are in increasing order (they are), then start crossing out the outside numbers until you meet in the middle:

32 36 38 39 42

/ 36 38 39 /

/ / 38 / /

The only number left is 38, so the median is 38.

If there were two numbers remaining, you would take the average of the two.

    (Add both numbers and divide by 2)

Answer: 25 total apples

Step-by-step explanation:

so you would set up an equation where 20 = 0.80x

20 is 80 percent of the total (x)

so then solve for x, which would be 20 divided by 0.8

That's 25

9514 1404 393

Answer:

  1/2 + 1/6

Step-by-step explanation:

  2/3 = 1/2 + 1/6

__

The sum of unit fractions is called an Egyptian Fraction. There are several different algorithms for finding such a sum. Here, we are starting with the form ...

  2/p

where p is a small prime. Then the sum can be written as ...

  1/((p+1)/2) +1/(p(p+1)/2) = 1/(4/2) +1/(3(4/2)) = 1/2 + 1/6

A different algorithm is used when p is a composite number.

__

Using the "greedy" algorithm, we can find the largest unit fraction less than 2/3 to be ...

  1/ceil(3/2) = 1/2

Then the largest unit fraction in the remainder is similarly found. The remainder is ...

  2/3 -1/2 = 1/6 . . . . already a unit fraction

So, the sum is ...

  2/3 = 1/2 + 1/6

Answer:

136 [tex]m^{2}[/tex]

Step-by-step explanation:

Back of the shape area/ front of the shape area

A = [tex]\frac{1}{2}[/tex] [tex](bh)[/tex]

A = [tex]\frac{1}{2}[/tex] (6 × 4)

A = [tex]\frac{1}{2}[/tex] (24)       Divide 24 ÷ 2

A = 12

Bottom of the shape area

A = l · w

A = 7 · 6

A = 42

Left side of the shape area/right side of the shape area

A = l · w

A = 7 · 5

A = 35

---------------------------------------------------------------------------------

35 + 35 + 42 + 12 + 12 = 136 [tex]m^{2}[/tex]

SA = 136 [tex]m^{2}[/tex] Surface Area = 136 [tex]m^{2}[/tex]

Answer:

x = 12

Step-by-step explanation:

The product of the length of the secant segment and its external part equals the square of the length of the tangent segment.

3*x = 6^2

3x = 36

Divide each side by 3

3x/3 = 36/3

x = 12

Answer:

0.3874 = 38.74% probability that exactly 9 of the 10 consumers recognize her brand name.

0.6126 = 61.26% probability that the number who recognize her brand name is not nine.

Step-by-step explanation:

For each consumer, there are only two possible outcomes. Either they recognize the name, or they do not. The probability of a customer recognizing the name is independent of anu other customer. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

The brand name of Mrs. Fields (cookies) has a 90% recognition rate.

This means that [tex]p = 0.9[/tex].

Sample of 10

This means that [tex]n = 10[/tex]

Find the probability that exactly 9 of the 10 consumers recognize her brand name.

This is P(X = 9). So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 9) = C_{10,9}.(0.9)^{9}.(0.1)^{1} = 0.3874[/tex]

0.3874 = 38.74% probability that exactly 9 of the 10 consumers recognize her brand name.

Also, find the probability that the number who recognize her brand name is not nine.

1(100%) subtracted by those who recognize. So

1 - 0.3874 = 0.6126

0.6126 = 61.26% probability that the number who recognize her brand name is not nine.

Answer:

87.79

Step-by-step explanation:

Given :

Number of skiers in the village = Inventory = 1562.664

Stay time in LaVilla = 17.8 days

The number of new skiers arriving on average per day is :

According to Little's theorem :

Inventory / flow time

1562.664 / 17.8

= 87.79

Hence, 87.79 arrive LaVilla per day on average

Answer:

21 meters and 29 meters

Step-by-step explanation:

x + (x + 8) = 50

2x + 8 = 50

2xc = 42

x = 21

x + 8 = 29

Answer:

3`⁴ = 1/81

Step-by-step explanation:

________________

Answer:

y = 5 sin (2x) + 4

Step-by-step explanation:

this is sines function,

the amplitude is [9 - (-1)]/2 = 10/2 = 5

the period is 2πx/π = 2x

the x-axis of actual function is at y = 4

so, the function is :

y = 5 sin (2x) + 4

Answer:

=  -24x^5 -60x^4 - 20x^3 + 8x^2+36

Step-by-step explanation:

Given the expression

(4x + 6)(- 6x^4 - 4x - 6x ^ 3 + 6 + 4x ^ 2)

Expand

4x(- 6x^4 - 4x - 6x ^ 3 + 6 + 4x ^ 2)+6(- 6x^4 - 4x - 6x ^ 3 + 6 + 4x ^ 2)

= -24x^5 -16x^2-24x^4+24x+16x^3 - 36x^4 -24x-36x^3+36+24x^2

= -24x^5 -24x^4 - 36x^4+16x^3-36x^3 -16x^2+24x^2+24x-24x+36

=  -24x^5 -60x^4 - 20x^3 + 8x^2+36

This gives the required expression