Oscar buys a bag of cookies that contains 7 chocolate chip cookies, 8 peanut butter cookies, 9 sugar cookies and 7 oatmeal cookies.
What is the probability that Oscar reaches in the bag and randomly selects a peanut butter cookie from in the bag and randomly selects a peanut butter cookie from
the bag, eats it, then reaches back in the bag and randomly selects a sugar cookie?

Give your answer as a fraction, or accurate to at least 4 decimal places.

The value of p in the equation p - 12 = 27 is A. 39.

An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario. It is vital to note that an equation is a statement which is made up of two expressions that are connected by an equal sign.

In this case p - 12 = 27

Collect the like terms

p = 27 + 12

p = 39

The correct option is A.

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Answer:

0.408

Step-by-step explanation:

Convert -6.8 and -0.06 to 34/5 and 3/50(The math explains why)
\(0 - 68/10 \times 0 - 3/50\\0 - 34/5 \times (-3)/50\\= 51/125\\= 0.408\)

Answer: 0.408

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

The entire total number of freshman are taking English, History or Mathematics. Since it says "or" and lists all subjects discussed, they all are enrolled in either English, History or Mathematics.

The actual distance represented by 23.7 cm on the map is 355.5 km.

To find the ratio of the amount of money Mabaso has to the amount of money Thabo has and the amount of money Ally has, we can divide each amount by the smallest amount (which is R35) to simplify the ratio.

Mabaso has R140, Thabo has R70, and Ally has R35.

The ratio of Mabaso's money to Thabo's money is:

R140 ÷ R35 = 4

The ratio of Mabaso's money to Ally's money is:

R140 ÷ R35 = 4

Therefore, the ratio of the amount of money Mabaso has to the amount of money Thabo has and to the amount of money Ally has is 4:1:1.

To calculate the percentage discount of a steel table, we need to find the difference between the original price and the discounted price, and then divide it by the original price. Finally, we multiply the result by 100 to get the percentage.

Original price: R750

Discounted price: R600

Discount: R750 - R600 = R150

Percentage discount: (R150 ÷ R750) × 100 = 20%

So, the table has a 20% discount on Black Friday.

To convert 125 grams to kilograms, we divide the amount in grams by 1,000 (since there are 1,000 grams in a kilogram).

125 g ÷ 1,000 = 0.125 kg

Therefore, 125 grams is equal to 0.125 kilograms.

If a green grocer packs 12 apples in a plastic bag and has 285 apples, we divide the total number of apples by the number of apples per bag to determine the number of bags needed.

Number of bags needed: 285 apples ÷ 12 apples/bag = 23.75 bags

Since we can't have a fraction of a bag, we round up to the nearest whole number. Therefore, the green grocer would need 24 bags.

If the scale of a map is 1,500,000 and the measurement on the map is 23.7 cm, we can use the scale to determine the actual distance.

1 cm on the map represents 1,500,000 cm in reality.

23.7 cm on the map represents x cm in reality.

x = 23.7 cm × 1,500,000 cm = 35,550,000 cm

To convert cm to km, we divide by 100,000 (since there are 100,000 cm in a kilometer).

35,550,000 cm ÷ 100,000 = 355.5 km

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Answer:

20 feet.

Step-by-step explanation:

The container is assumed to be a rectangular prism.

The volume would be length × width × height.

l × 10 × 8 = 1600

l × 80 = 1600

l = 1600/80

l = 20

The storage container is 20 feet long.

The length of the storage container is 20 feet long.

Given is that a storage container holding 1600 cubic feet of rice is 8 feet deep x 10 feet wide.

The volume of cuboid is given by -

V{C} = L x B x H

So, we can write -

1600 = L x 8 x 10

80L = 1600

L = 20 feet

Therefore, the length of the storage container is 20 feet long.

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Answer:

Step-by-step explanation:

b .  v vvhc . fhd

Answer:

60000

Step-by-step explanation:

Answer:

The answer is below

Step-by-step explanation:

The z score is a score used to determine the number of standard deviations by which the raw score is above or below the mean, it is given by the equation:

\(z=\frac{x-\mu}{\sigma} \\\\\mu=mean, \sigma=standard\ deviation,x=raw\ score\\\\for\ a\ sample\ n:\\\\z=\frac{x-\mu}{\sigma/\sqrt{n} }\)

Given that μ = 650, σ = 50. To find the probability that 5 students who have a mean of 490, we use:

\(z=\frac{x-\mu}{\sigma/\sqrt{n} } =\frac{490-650}{50/\sqrt{5} } =-7.16\)

From the normal distribution table, P(x < 490) = P(Z < -7.16) = 0.0001 = 0.01%

Since only a small percentage of people score about 490, hence the local newspaper editor should write a scathing editorial about favoritism

Answer:

37.7

Step-by-step explanation:

Circumference of circle =2pir

I took pi=3.14

C=2xpix6=37.7square ft

(a) Yes, the rectangle ABCD and PQRS are similar

Similar figures are those which have equal angles and proportional sides since rectangle PQRS is made by applying a scale factor of 3 to Rectangle ABCD the sides are proportional and the angles of the rectangle are equal.

(b) The area of the Rectangle ABCD is 54 square inch

Area = l * b

where l is the length

b is the breadth

Given:

l = 12 in

b = 4.5 in

Area = 12 * 4.5

= 54 sq in

(c) The area of the rectangle PQRS is 486 sq in

Given:

Scale factor = 3

l = 12 * 3 = 36 in

b = 4.5 * 3 = 13.5 in

Area = 36 * 13.5  

= 486 sq in

(d) The area of the rectangle PQRS is 9 times the area of the rectangle ABCD because the area is increased by the square of the scale factor

Ratio of the area = Area of ABCD : Area of PQRS

= 54 : 486

= 1 : 9

Since the area is the product of the dimensions which is increased by the scale factor of 3 thus the effect on the area is the square of the scale factor is 9.

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9514 1404 393

Answer:

  (b)  x> 3 or x<-3

Step-by-step explanation:

The ∨ symbol is understood to mean "or".

  p ∨ q ≡ (x < -3) or (x > 3) . . . . . . matches the 2nd choice

3(2x+4),  2(3x+6) and 6(x + 2) are the expressions are equivalent to 6X +12

An expression is combination of variables, numbers and operators.

The given expression is 6X +12

We have to find the equivalent expressions of 6x+12

Let us take 6 as a common factor we get

6(x+2)

so 6(x+2)  is equivalent expression of 6X +12

Now let us take 3 as common factor

3(2x+4)

so 3(2x+4)  is equivalent expression of 6X +12

Now let us take 2 as common factor

2(3x+6)

so 2(3x+6)  is equivalent expression of 6X +12

Hence,  3(2x+4),  2(3x+6) and 6(x + 2) are the expressions are equivalent to 6X +12

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The option (D) "f(x) and g(x) are closed under the addition because when added, the result will be a polynomial is correct.

Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.

\(\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n\)

We have given two polynomials:

\(\rm f(x) = \rm a_0+a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n\)

\(\rm g(x) = \rm b_0+b_1x+b_2x^2+b_3x^3+b_4x^4..........b_mx^m\)

If we add the above two polynomials:

= f(x) + g(x)

\(= (\rm a_0+a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n) + (\rm \rm b_0+b_1x+b_2x^2+b_3x^3+b_4x^4..........b_mx^m)\)

The above expression is also a polynomial.

Thus, the option (D) "f(x) and g(x) are closed under the addition because when added, the result will be a polynomial is correct.

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The length of the square in centimetres in algebraic expression is 25m

The perimeter of a square is m meters.

The length of the each side of the square in centimetres can be represented in an algebraic expression as follows:

Therefore,

perimeter of a square = 4l

where

Therefore,

m = 4l

where

l = m / 4 meters.

Therefore, the side length of the square in centimetres is as follows:

1 meters = 100 cm

m / 4 meters  = ?

cross multiply

length of the square in meters = m / 4 × 100

length of the square in meters = 100m / 4

length of the square in meters = 25m

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Answer:

Step-by-step explanation:

Hey!

The way we solve this, is instead of solving for the pool and then the deck, we can solve for just the deck!

the deck adds a foot on any side of the pool, so we would add a foot to each of our dimensions!

14+1 = 15

25+1 =26

So now we add!

15+15+26+26 = 82

We need 82 feet of fencing

Hope this helps!^^

Answer:

y = 10, x = 18

Step-by-step explanation:

Hope it helps!

Answer:

120%

Step-by-step explanation:

Hope this helps

Answer:

pulling a king out of a deck of cards

Step-by-step explanation:

A compound event is more than one thing happening

The only item listed that has only one thing happening is pulling a king out of a deck of cards, so that is the only one that is not a compound event

Answer:

56 miles

Step-by-step explanation:

First, we minus the total paid with the cost of the taxi = $18-$4 = $14

$14 is what Alex paid for total of miles she travel

Each mile = $0.25

So, $14 ÷ $ 0.25 = 56 miles

The third term (a3) of the sequence is -8, the fourth term (a4) is 35, and the fifth term (a5) is -183. These values are obtained by applying the given formula recursively and substituting the previous terms accordingly. The calculations follow a specific pattern and are derived using the provided formula.

The sequence is defined by the following formula:

a1 = 1, a2 = 3,

and

an = (-1)nan - 1 + an - 2 for n ≥ 3.

To find the third term (a3), we substitute n = 3 into the formula:

a3 = (-1)(3)(a3 - 1) + a3 - 2.

Next, we simplify the equation:

a3 = -3(a2) + a1.

Since we know a1 = 1 and a2 = 3, we substitute these values into the equation:

a3 = -3(3) + 1.

Simplifying further:

a3 = -9 + 1.

Therefore, the third term (a3) is equal to -8.

To find the fourth term (a4), we substitute n = 4 into the formula:

a4 = (-1)(4)(a4 - 1) + a4 - 2.

Simplifying the equation:

a4 = -4(a3) + a2.

Since we know a2 = 3 and a3 = -8, we substitute these values into the equation:

a4 = -4(-8) + 3.

Simplifying further:

a4 = 32 + 3.

Therefore, the fourth term (a4) is equal to 35.

To find the fifth term (a5), we substitute n = 5 into the formula:

a5 = (-1)(5)(a5 - 1) + a5 - 2.

Simplifying the equation:

a5 = -5(a4) + a3.

Since we know a4 = 35 and a3 = -8, we substitute these values into the equation:

a5 = -5(35) + (-8).

Simplifying further:

a5 = -175 - 8.

Therefore, the fifth term (a5) is equal to -183.

In summary, the third term (a3) is -8, the fourth term (a4) is 35, and the fifth term (a5) is -183.

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Answer:20

Step-by-step explanation:this is wrong

Answer:

40

Step-by-step explanation:

subtract median of dogs and median of cats

Answer:

WHAT IS THAT!

Step-by-step explanation:

Answer:

Step-by-step explanation:

Use long multiplication to evaluate.

576

Explanation:

The mixed number 3 & 1/4 is the same as the improper fraction 13/4. It is a rational number since it's a fraction or ratio of two integers.

13/4 = 3.25 is not an integer. So that's why n is outside of the "integer" box, but inside the "rational" box.

In contrast, \(m = 2\pi\) is irrational because we cannot represent pi as a fraction of two integers. We can get an approximation like 22/7, but that won't be exact.

By substitution; x = 4 and y = -31

An equation is a mathematical statement that shows that two mathematical expressions are equal. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. Equations can be solved to find the value of an unknown variable representing an unknown quantity.

y=-6x-7 --- 1

7x+y=-3 --- 2

Substituting y as 6x - 7 in equation 2

7x + (-6x - 7) = -3

7x - 6x - 7 = -3

x - 7 = -3

x = -3 + 7

x = 4

Substitute x as 4 in equation 1

y = -6x - 7

y = -6(4) - 7

y = -24 - 7

y = -31

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Arithmetic

This number is rational.

Answer:

12.87, 12.5  is closer to 13

12.08, 12.13  is closer to 12

Step-by-step explanation:

Least to Greatest:

12

13

(a) Probability that 3 balls are all white:

Step 1:

Total balls = Number of red balls + Number of white balls + Number of green balls = 7 + 12 + 4 = 23.

Step 2:

Total ways to choose 3 balls = C(23, 3) = 23! / (3 * (23-3) ) = 23 / (3 * 20) = (23 * 22 * 21) / (3 * 2 * 1) = 1771.

Step 3: Calculate the number of ways to choose 3 white balls out of 12:

Number of ways to choose 3 white balls = C(12, 3) = 12 / (3 * (12-3) ) = 12 / (3 * 9) = (12 * 11 * 10) / (3 * 2 * 1) = 220.

Step 4: Calculate the probability of selecting 3 white balls:

Probability = Number of ways to choose 3 white balls / Total ways to choose 3 balls = 220 / 1771 ≈ 0.1241.

Therefore, the probability that 3 balls drawn are all white is approximately 0.1241.

(b) Probability that 3 balls are one of each color:

Step 1: Calculate the total number of balls in the bag (same as above): Total balls = 23.

Step 2: Calculate the total number of ways to choose 3 balls out of 23 (same as above): Total ways to choose 3 balls = 1771.

Step 3: Calculate the number of ways to choose 1 ball of each color:

Number of ways to choose 1 red, 1 white, and 1 green ball = Number of red balls * Number of white balls * Number of green balls = 7 * 12 * 4 = 336.

Step 4: Calculate the probability of selecting 3 balls of different colors:

Probability = Number of ways to choose 1 ball of each color / Total ways to choose 3 balls = 336 / 1771 ≈ 0.1899.

Therefore, the probability that 3 balls drawn are one of each color is approximately 0.1899.

(c) Probability that 3 balls are of the same color:

Step 1: Calculate the total number of balls in the bag (same as above): Total balls = 23.

Step 2: Calculate the total number of ways to choose 3 balls out of 23 (same as above): Total ways to choose 3 balls = 1771.

Step 3: Calculate the number of ways to choose 3 balls of the same color:

Number of ways to choose 3 red balls = C(7, 3) = 7 / (3 * (7-3) ) = 7 / (3 * 4 ) = (7 * 6 * 5) / (3 * 2 * 1) = 35.

Number of ways to choose 3 white balls = C(12, 3) = 220.

Number of ways to choose 3 green balls = C(4, 3) = 4.

Step 4: Calculate the probability of selecting 3 balls of the same color:

Probability = (Number of ways to choose 3 red balls + Number of ways to choose 3 white balls + Number of ways to choose 3 green balls) / Total ways to choose 3 balls = (35 + 220 + 4) / 1771 ≈ 0.1416.

Therefore, the probability that 3 balls drawn are of the same color is approximately 0.1416.

Answer:

Step-by-step explanation:

(a) Probability that 3 balls are all white:

Total number of balls = 7 red + 12 white + 4 green = 23

Number of favorable outcomes = 12 white balls

Probability = Number of favorable outcomes / Total number of possible outcomes

Probability = 12 / 23

(b) Probability that 3 balls are one of each color:

Total number of balls = 7 red + 12 white + 4 green = 23

Number of favorable outcomes = 7 red balls * 12 white balls * 4 green balls

Probability = Number of favorable outcomes / Total number of possible outcomes

Probability = (7 * 12 * 4) / (23 * 22 * 21)

(c) Probability that 3 balls are the same color:

Total number of balls = 7 red + 12 white + 4 green = 23

Number of favorable outcomes = (7 red balls * 6 red balls * 5 red balls) + (12 white balls * 11 white balls * 10 white balls) + (4 green balls * 3 green balls * 2 green balls)