A paper bag contains 7 chillies, 9 beetroot and 11 carrots. Find P(not a carrot) (Express your answer as a fraction)

Answer: 2.5

Step-by-step explanation:

\(3x+x+1=11\\\\4x+1=11\\\\4x=10\\\\x=2.5\)

Answer:

Step-by-step explanation:

Total students in the class=18

Girls=10

Boys=8

a.  Pr(Girl, Girl)= 10/18*9/17=90/306.

b.   Pr ( at least one is a boy) = BG* BB* GB*GGB*BBG*BBB*BGG*GBG*GBB*BGB*

Answer:

Question 1  : 0.44

Question 2: 0.853

Step-by-step explanation:

We should use combinatorics to solve this problem

Combinations

The number of ways to choose a sample of r elements from a set of n distinct objects where order does not matter and replacements are not allowed

The formula for finding the number of ways you can pick r items from a set of n items where duplicates are eliminated is given by the combinations formula:

\(C(n,r) = \dfrac{n!}{( r! (n - r)! )}\)

where the ! stands for the factorial of the number

Let's take simple example to illustrate this

Suppose we have 3 books labeled A, B. C and we are asked to randomly pick 2 books in one shot. There are 3 possible picks:

AB, AC, BC

Note that though there are six possible arrangements of 2 items from a set of 3, we have to eliminate duplicates because AB is the same as BA.

In the above case, r = 2, n = 3 so using the formula we get

\(C(3,2) = \dfrac{3!}{( 2! (3 - 2)! )}\\\\= \dfrac{3!}{2! \times 1! }\\\\\\= \dfrac{3 \times 2 \times 1}{(2 \times 1)(1)}\\\\\\= 3\\\\\)

Now to the actual problem

There are a total of 18 students in the class

Number of ways of picking 3 students is
\(C(18,3) = \dfrac{18!}{( 3! (18 - 3)! )}\\\\= \dfrac{18!}{3! \times 15! }\\\\\\=816\)

So there are 816 possible ways to pick 3 students from 18 students

There are calculators to perform this gruesome task so I will omit the actual steps and just show the result

Let's consider the first question
Out of the 3 students picked 2 are girls. That means the other one is a boy

Number of ways of picking 2 girls out of 10 is C(10, 2)

C(10, 2) = 45

Then we have to consider the lone boy. Number of ways of picking 1 boy out of 8 is

C(8, 1) = 8

Total number of ways of picking 2 girls and 1 boy

= 45 x 8 = 360

Therefore P(2 girls, 1 boy) :

\(\dfrac{360}{816} = 0.44\)

Second question
To find the number of ways that at least 1 boy can appear in the group is the sum of the number of ways 1, 2 or 3 boys can appear in the group.

Rather than do this, let's approach it in a easier fashion

The probability of at least 1 boy appearing in the group is the complement of no boys on the group, i.e. all volunteers are girls

Number of ways of selecting a volunteer group of all 3 girls:

C(10, 3) = 120

P(no boys in group) = P(all 3 girls in group)
\(=\dfrac{120}{816} = 0.147\)

Therefore P(at least 1 boy) = 1 - P(no boys)

= 1-0.147

= 0.853

Could you please let me know if correct? This is a tough subject area for me too :)

Answer:

It gives you -7

Step-by-step explanation:

Think of the problem as 8 - 15, because 8 is a smaller number and 15 is bigger, you'll get a negative number.

The next step is use the rule**a-b = -(b-a)**which is - (15 - 8)

Then when you simplify it, it will be - (15 - 8)= - 7**(which is the answer)

Hope this helps:)

Answer:

96.25%

Step-by-step explanation:

The empirical rule regarding mean and standard deviation is that

Therefore between mean and +2 standard deviation or between mean and -2 standard deviation you will find  approximately 95/2 = 47.5% of the values

Between mean and ± 3 standard deviations you will find approximately 97.5/2 = 48.75% of the values

Therefore between 2 standard deviations above and 3 standard deviations below you will find approximately 47.5 + 48.75 = 96.25% of values

Answer:

C 30 in

Step-by-step explanation:

set a proportion: 36/12 = x/10 => x = 36 × 10 ÷ 12 = 30

Answer:

x intercept: (-8,0)

y intercept: (0,2)

Answer:

Step-by-step explanation: 834^2n>4n

Step-by-step explanation:

CFB reads as twenty five degrees

complementary angle  will add to it to sum 90 degrees  = sixty five degrees

   angle CFD is sixty five degrees

The little lines through the 4 sides mean all the sides are the same length.

The area is side x side = 8 x 8 = 64 square cm.

Perimeter is the sum of the 4 sides = 8 + 8 + 8 +8 = 32 cm.

Answer:

Perimeter

P =a+a+a+a =4a

P = 4*8

P=32cm

Area

A = a*a = \(a^{2}\)

A = \(8^{2}\)

A = 64\(cm^{2}\)

Both expressions equal 5 when substituting 2 for x because the expressions are equivalent.

Algebra is the branch of mathematics that deals with numbers and values which are represented with letters and symbols.

Sometimes, we do not want to mention a particular number, we can represent the number by a letter or a suitable symbol. This approach is algebraic.

For example, d + d = 2d

This is an example of an algebraic expressionns.

Given the algebraic expressions,

\(\frac{1}{2}x + 4 \\ x + 6 - \frac{1}{2}x - 2\)

Substituting 2 for x in the first expression gives:

(1/2 × 2) + 4

1 + 4

5

Substituting 2 for x in the second expression gives:

2 + 6 - (1/2 ×2) - 2

8 - 1 - 2

8 - 3

5

Both expressions equal 5 when substituting 2 for x because the expressions are equivalent.

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Answer:

? = 77°

Step-by-step explanation:

the 3 angles in a triangle sum to 180° , that is

? + 35° + 68° = 180°

? + 103° = 180° ( subtract 103° from both sides )

? = 77°

Answer:77

Step-by-step explanation:

180-103=77

The expression 6j^2 - 4j 12 can be rewritten as \($-24(j\frac{1}{2})^2 -12$\)where , and \($q=-12$\). Thus,\($\frac{q}{p}=-24$\).

The expression\($6j^2 - 4j 12$\) can be rewritten in the form \($c(j p)^2 q$\), where c, p, and q are constants. To do this, we can factor out a common factor from the expression. In this case, the common factor is j. Then, we can rewrite the expression as \($j(6j - 12)$\) which simplifies to \($-24j^2 -12$\). Dividing both sides by j, we can rewrite the expression as \($-24(j\frac{1}{2})^2 -12$\) where \($c=-24$\), \($p=\frac{1}{2}$\) and \($q=-12$\). Thus, \($\frac{q}{p}=-24$\). To summarize, the expression \($6j^2 - 4j 12$\) can be rewritten in the form \($c(j p)^2 q$\) where c, p, and q are constants, and \($\frac{q}{p}=-24$\).

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Answer:

Try no solution

Step-by-step explanation:

Solving for the solution the answer is 4

Solving for x the answer is no solution

Answer:

K & M

Step-by-step explanation:

K & M are parallel lines because they are straight and they can't touch each other.

Hope this helped!

Answer:

a) C=31.42 units

b)  A=78.55 SQ UNITS

Step-by-step explanation:

C=2(pi)r

C=2(3.142)5

C=31.42 units

A=(Pi)r^2

A=(3.142) x 5^2

A=3.142 X 25

A=78.55 SQ UNITS

The expected value for playing roulette if a person bet $16 on red is -$0.84.

b. The statement that best describes what this value means is option b. Over the long run, the player can expect to lose about $1.05 for each game played.

To be able to calculate the expected value, you need to multiply the probability of winning by the amount won hence it will be:

Expected value = (18/38) x  $16 - (20/38) x  $16

= -$0.84

Based on the fact that the expected value has a negative sign, it implies that, on average, the player tend to lose money over the long run.

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See full question below

one option in a roulette game is to bet $16 on red. (there are 18 red compartments, 18 compartments, and two compartments that are neither red nor black) if the ball lands on red, you get to keep the $16 you paid to play the game and you are awarded $16. If the ball lands elsewhere, you are awarded nothing and the $16 that you bet is collected.

a. what is the expected value for playing roulette if you bet $16 on red?

$__________ (round to the nearest cent)

b. chosen the statment below that best describes what this value means???

Pick One!

a. over the long run, the player can expect to win about $1.05 for each game played

b. over the long run, the player can expect to lost about $1.05 for each game player

c. over the lung run, the player can expect to break even

Answer:

Step-by-step explanation:

To determine the minimum sample size needed to have a 4 percentage point error for the proportion of orders that were carry-out, we can use the following formula:

n = (Z^2 * p * q) / E^2

where:

n is the sample size we want to determine

Z is the z-score associated with the desired level of confidence (let's assume a 95% confidence level, so Z = 1.96)

p is the estimated proportion of orders that were carry-out (we don't know this yet, so we'll use 0.5 as a conservative estimate)

q is 1 - p (i.e., the estimated proportion of orders that were delivery)

E is the desired margin of error (in this case, 0.04)

Using the given information, we can estimate that the proportion of orders that were carry-out is:

p = 1 - 431/778 = 0.446

Then, plugging in the values into the formula, we get:

n = (1.96^2 * 0.446 * 0.554) / 0.04^2 ≈ 602.25

Rounding up to the nearest whole number, the minimum sample size needed is 603.

Note that I used the formula for sample size calculation based on a finite population, since the total number of orders is known (778). If we used the formula for an infinite population, the result would be very similar (around 604). I calculated this by hand, without using any calculator program, but you could use a calculator or a spreadsheet to perform the calculations more efficiently.

Answer:

$0.79

Step-by-step explanation:

Answer:

$0.79

Step-by-step explanation:

There are two ways to solve this. You can either set it up as a proportion or just divide 8 by $6.32. Be careful if you just divide, however, that you don't divide it the wrong way. 8 divided by 6.32 will give you a different answer than 6.32 divided by 8. Setting up a proportion may be harder and longer, but it is definitely the safer way to go.

Proportion:       \(\frac{6.32}{8} = \frac{x}{1}\)          6.32 = 8x     6.32 ÷ 8 = 0.79      x = 0.79

79 cents is your answer.

I hope this helps you understand a bit better. Please let me know if you need any more help. I'm happy to help any time! :) Have a great day!

Answer:

-3 is the answer.

Step-by-step explanation:

=2(-1+3)-7

=2(2)-7

=4-7

=-3

Hope it will help you :)

Answer:

I think it's right answer is 530

Answer:

17 7/12 gallons of gas.

Step-by-step explanation:

Set the fractions to like denominators. It'll make it a hell of a lot easier to add.

20 2/3rds = 20 8/12

9 1/4ths = 9 3/12

2 1/2 = 2 6/12

Adding those together gets you 31 17/12 which is 32 5/12 simplified.

Take that fraction and subtract it from your 50 gallons and it'll get you 17 7/12

Answer:

Step-by-step explanation:

The polynomial 18x³ - 2x² + 4x - 1 consists of four terms.

The number of terms in a polynomial helps when performing operations like simplification, factoring, or evaluating expressions.

The polynomial 18x³ - 2x² + 4x - 1 consists of four terms.

In order to determine the number of terms in a polynomial, we count the number of distinct algebraic expressions separated by addition or subtraction operations.

In this polynomial, we have:

Term 1: 18x³ (This is the term with the highest degree, which is 3 in this case, and it includes the coefficient 18.)

Term 2: -2x² (This term has a degree of 2 and a coefficient of -2.)

Term 3: 4x (This term has a degree of 1 and a coefficient of 4.)

Term 4: -1 (This is a constant term with a degree of 0.)

We can see that there are four distinct terms separated by addition and subtraction operations:

18x³, -2x², 4x, and -1.

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The matrix system has no solution.

option D is the correct answer.

A general solution of a system of linear equations is a formula which gives all solutions for different values of parameters.

The given linear expression;

x₂ - 4x₃  + 3x₄

x₁ - 3x₂  + 8x₃ - 4x₄

The given expression in matrix form;

x₂ - 4x₃  + 3x₄   =    [0    1     - 4     3 ]

x₁ - 3x₂  + 8x₃ - 4x₄ [1     -3     8    -4 ]

The solution of the matrix can be determined by applying row reduction or using a method Cramer's method.

However, the matrix expression has no equal entity and therefore will not have a any solution, as it does not meet the criteria of an equation.

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Answer: 40 years old.

Step-by-step explanation:

Let man's age = a

Let son's age = b

Since a man is 4 times as old as his son, therefore

a= 4b

In 5 years, he will only be 3 times as old as his son, therefore

a+5=3(b+5)

Apply substitution method :

4b+5=3b+15

b=10

a=40

Answer:

3rd one

Step-by-step explanation:

Answer:

4x + (–3) = 5x + 4

Step-by-step explanation:

right on edge

Answer:

x ≥ - 6

Step-by-step explanation:

- 4x ≤ 24

Step 1 : Multiply - 1 on both sides

4x ≥ - 24

Step 2 : Divide 4 on both sides

4x/4 ≥ - 24/4

x ≥ - 6

The final simplified answer is x ≥ - 6

Answer:

x ≥ -6

Step-by-step explanation:

Divide each term in -4x ≤ 24 by −4 and simplify

Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes

The radius of the Ferris wheel is 30 / 2 = 15 meters.

The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.

The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.

The angle between these two positions is 180 degrees.

The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.

Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.

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Answer: If you’re doing algebra, -3<x or x<_4.

Another answer is -3<x<_4

Answer:

-3 < x <_4

Step-by-step explanation:

-8 < 3x+1 <_13

First solve for the left side: -8 < 3x + 1

Subtract 1 from each side

-9 < 3x

Divide each side by 3

-3 < x

Solve for the right side: 3x+1 <_13

Subtract 1 from each side

3x <_ 12

Divide each side by 3

x<_4

Put it together for your answer

-3 < x <_4