a) The difference of the age of two sisters is 5 years and the product of their age is
24. Find the age of the two sisters.
​

Answer:

283 1/3 pizzas

Step-by-step explanation:

I did 3,400 div 12 = 1,420

Answer:

D

Step-by-step explanation:

Answer: The 3rd one is the correct answer

Step-by-step explanation:

Probability of selecting two defective cylinders ≈ 0.1071. Probability of selecting at least one defective cylinder ≈ 0.6429

To calculate the probability of selecting two defective cylinders when two cylinders are chosen at random without replacement, we need to consider the total number of cylinders and the number of defective cylinders. Given: Total number of cylinders: 8, Number of defective cylinders: 3. Probability of selecting two defective cylinders: To calculate this probability, we first need to determine the total number of ways to choose two cylinders out of the eight available. This can be calculated using the combination formula (nCr). Total ways to choose two cylinders out of eight: C(8, 2) = 8! / (2! * (8-2)!) = 28.

Next, we need to determine the number of ways to choose two defective cylinders out of the three available. Number of ways to choose two defective cylinders out of three: C(3, 2) = 3! / (2! * (3-2)!) = 3. Therefore, the probability of selecting two defective cylinders is: P(Two defective cylinders) = Number of ways to choose two defective cylinders / Total ways to choose two cylinders = 3/28 ≈ 0.1071 (rounded to four decimal places). Probability of selecting at least one defective cylinder: To calculate this probability, we can consider the complementary event, which is the probability of selecting no defective cylinders. Then, we subtract this probability from 1 to obtain the probability of selecting at least one defective cylinder.

Number of ways to choose two non-defective cylinders out of five remaining non-defective cylinders: C(5, 2) = 5! / (2! * (5-2)!) = 10. Total ways to choose two cylinders out of eight: C(8, 2) = 28 (as calculated earlier). Number of ways to choose at least one defective cylinder = Total ways to choose two cylinders - Number of ways to choose two non-defective cylinders= 28 - 10 = 18. Therefore, the probability of selecting at least one defective cylinder is: P(At least one defective cylinder) = Number of ways to choose at least one defective cylinder / Total ways to choose two cylinders= 18/28 ≈ 0.6429 (rounded to four decimal places).

To learn more about probability, click here: brainly.com/question/16988487

#SPJ11

Answer:

The probability that Scott will wash is 2.5

Step-by-step explanation:

Given

Let the events be: P = Purple and G = Green

[tex]P = 2[/tex]

[tex]G = 3[/tex]

Required

The probability of Scott washing the dishes

If Scott washes the dishes, then it means he picks two spoons of the same color handle.

So, we have to calculate the probability of picking the same handle. i.e.

[tex]P(Same) = P(G_1\ and\ G_2) + P(P_1\ and\ P_2)[/tex]

This gives:

[tex]P(G_1\ and\ G_2) = P(G_1) * P(G_2)[/tex]

[tex]P(G_1\ and\ G_2) = \frac{n(G)}{Total} * \frac{n(G)-1}{Total - 1}[/tex]

[tex]P(G_1\ and\ G_2) = \frac{3}{5} * \frac{3-1}{5- 1}[/tex]

[tex]P(G_1\ and\ G_2) = \frac{3}{5} * \frac{2}{4}[/tex]

[tex]P(G_1\ and\ G_2) = \frac{3}{10}[/tex]

[tex]P(P_1\ and\ P_2) = P(P_1) * P(P_2)[/tex]

[tex]P(P_1\ and\ P_2) = \frac{n(P)}{Total} * \frac{n(P)-1}{Total - 1}[/tex]

[tex]P(P_1\ and\ P_2) = \frac{2}{5} * \frac{2-1}{5- 1}[/tex]

[tex]P(P_1\ and\ P_2) = \frac{2}{5} * \frac{1}{4}[/tex]

[tex]P(P_1\ and\ P_2) = \frac{1}{10}[/tex]

Note that: 1 is subtracted because it is a probability without replacement

So, we have:

[tex]P(Same) = P(G_1\ and\ G_2) + P(P_1\ and\ P_2)[/tex]

[tex]P(Same) = \frac{3}{10} + \frac{1}{10}[/tex]

[tex]P(Same) = \frac{3+1}{10}[/tex]

[tex]P(Same) = \frac{4}{10}[/tex]

[tex]P(Same) = \frac{2}{5}[/tex]

Answer:

Step-by-step explanation:

The two inside angles will sum to 180°.

The top to angles are equal.  

Think about this as what if both of the parallel lines were intersected by a perpendicuar line.  Every angle would be a right triangle 90°.  The inside angles will sum to 180° and the opposite angles are again equal.

 (2x + 18) + (8x + 12) = 180

          10x +   30   =   180

                   10x    =   150

                      x  =  15

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

             (3y - 18)  =  (8x + 12)       x = 15

            (3y - 18)  =  (8(15) + 12)

            (3y - 18)  =  (120 + 12)

            (3y - 18)  =  132

                   3y   =   132 + 18

                   3y   =  150

                     y   =  50

Answer:

5 :12 ; what is the ratio of the number of gumamela to the total number of flowers

5 : 7 ; what is the ratio of the number of gumamela to the number of orchids

7:5 ; what is the ratio of the number of orchids to the number of gumamela

12 : 5 ; what is the ratio of the total number of flowers to the number of gumamela

12 : 7 ; what is the ratio of the total number of flowers to the number of orchid

Step-by-step explanation:

Ratios of a to b ;is written as a : b

Ratio of b to a is written as b : a

The ratio of a to the sum of a and b equals ;

a : (a + b)

Number of orchids = 7

Number of gumamela = 5

Total number of flowers = 7 + 5 = 12

Ratio two quantities are compared. A number of times a number contains another. It makes value comparisons. When two components of the same unit are compared, it is possible to determine how much of one number is represented in the other. The quotient of two mathematical equations is shown.

Learn more:

brainly.com/question/22730473

Answer:

mhmm feels so good

Step-by-step explanation:

Answer:

2(x+2) = x+4

Step-by-step explanation:

The pair that shows equivalent expressions is:

2(x+2) = x+4

This is because when we distribute the 2 to the terms inside the parentheses, we get:

2x + 4 = x + 4

By subtracting x from both sides of the equation, we get:

2x - x + 4 = 4

Simplifying further, we have:

x + 4 = 4

Therefore, the expression 2(x+2) is equivalent to x+4.

Hope this helps!

Answer:

Step-by-step explanation: 675 ssa SAS 342w

Answer:

I believe it is 60

Step-by-step explanation:

It's going to be COS and since you don't have and angle you are going to click [tex]cos^{-1}[/tex] and then type in 9/18 so it should look like this

[tex]cos^{-1}(9/18) = 60[/tex]

is it a science question

The solution to the inequality y < 43.5 can be graphed on a number line. The graph will show all the values of y that are less than 43.5.

To graph the solution to the inequality y < 43.5 on a number line, we start by marking the point 43.5 on the number line. Since the inequality is y < 43.5, we represent it with an open circle at 43.5 to indicate that 43.5 itself is not included in the solution.

Next, we shade the region to the left of the open circle. This shaded region represents all the values of y that are less than 43.5, including any negative values and values approaching negative infinity.

The resulting graph on the number line will show a shaded region to the left of the open circle at 43.5, indicating that all values of y in that region satisfy the inequality y < 43.5.

To know more about number line click here: brainly.com/question/32029748

#SPJ11

Answer:

V = 50 m³

Step-by-step explanation:

The formula for the volume of a pyramid of base area b and height h is V = (1/3)(b)(h).

Here the volume is V = (1/3)(5 m)²(6 m), or V = 50 m³

Answer:

C

20 character minimum

Answer:

First row of blanks: -3 -3

Second row of blanks: 2 2 3

Third row blank: 6

Step-by-step explanation:

x/2 + 3 = 6

The objective is to isolate the variable:

Subtract both sides by 3

x/2 = 3

Multiply both sides by 2

x = 6

The probability that they shoot free throws in alphabetical order depends on the number of players participating. If there are only two players, the probability would be 1/2 or 0.5.

Since each player has a different name, there are only two possible orders in which they can shoot free throws: alphabetical order or reverse alphabetical order. Out of these two possibilities, only one is the desired outcome (alphabetical order). Therefore, the probability of shooting free throws in alphabetical order is 1 out of 2, which can be expressed as 1/2 or 0.5

To learn more about probability

brainly.com/question/31828911

#SPJ11

The best-fit quadratic model is given by the equation y = -0.19378x² - 0.15265x + 31.0148, where x represents the year after 1900.

According to the best-fit quadratic model obtained from the data, approximately 14,000 families will live in Sunnyvale in 2015.

To estimate the number of families in 2015, we substitute x = 115 (2015 - 1900) into the quadratic model:

y = -0.19378(115)² - 0.15265(115) + 31.0148

≈ 14,000

Therefore, based on the best-fit quadratic model, it is estimated that approximately 14,000 families will live in Sunnyvale in 2015. The model is obtained by performing a quadratic regression using the given data points, and it provides a reasonable estimate for the number of families in 2015 based on the trend observed in the data.

To learn more about quadratic model, click here: brainly.com/question/17933246

#SPJ11

Answer:

The Degree of the polynomial is 3

Hi there!

[tex]\large\boxed{x < 8}[/tex]

3(x - 2) < 18

Begin by dividing both sides by 3:

3(x - 2)/3 < 18/3

x - 2 < 6

Add 2 to both sides:

x - 2 + 2 < 6 + 2

x < 8

x< 8

Hope this is the answer you are looing for.

If the probabilities of their outcomes are 20%, 60%, and 20% respectively, the expected value of these outcomes is $346.

To calculate the expected value of the outcomes, we multiply each outcome by its corresponding probability and then sum up the results.

In this case, the projected outcomes are $240, $310, and $560, with probabilities of 20%, 60%, and 20% respectively.

To calculate the expected value, we use the formula:

Expected value = (Outcome 1 * Probability 1) + (Outcome 2 * Probability 2) + (Outcome 3 * Probability 3) + ...

Expected value = ($240 * 0.20) + ($310 * 0.60) + ($560 * 0.20)

Expected value = $48 + $186 + $112

Expected value = $346

The expected value represents the average value or the long-term average outcome we can expect from the given probabilities and outcomes. It provides a summary measure that helps in understanding the central tendency of the distribution of outcomes.

In this case, the expected value indicates that, on average, we can expect the project's outcome to be around $346.

To learn more about expected value click on,

https://brainly.com/question/31196935

#SPJ4

a. The initial amount of money deposited into the account is $1575.

b. The annual interest rate being paid on the account is 4.5%.

c. The amount of money in the account after 15 years is approximately $2946.27.

d. It will take approximately 20 years for the account to reach a balance of at least $4000.

To answer these questions, let's analyze the given equation:

A(1) = 1575 * (1.045)^t

a. The initial amount of money deposited into the account is $1575. This is evident from the equation, where A(1) represents the amount of money after 1 year.

b. To determine the annual interest rate, we can compare the given equation with the general formula for compound interest:

A = P * (1 + r)^t

Comparing the two equations, we can see that the interest rate in the given equation is 4.5% (0.045) since (1 + r) is equal to 1.045.

c. To find the amount of money in the account after 15 years, we can substitute t = 15 into the equation and calculate the result:

A(15) = 1575 * (1.045)^15 ≈ $2946.27 (rounded to the nearest dollar)

Therefore, after 15 years, the amount of money in the account will be approximately $2946.

d. To find the number of years it will take for the account to have at least $4000, we need to solve the equation for t. Let's set up the equation and solve for t:

4000 = 1575 * (1.045)^t

To solve this equation, we can take the logarithm of both sides (with base 1.045):

log(4000) = log(1575 * (1.045)^t)

Using logarithm properties, we can simplify the equation:

log(4000) = log(1575) + log((1.045)^t)

log(4000) = log(1575) + t * log(1.045)

Now, we can isolate t by subtracting log(1575) from both sides and then dividing by log(1.045):

t = (log(4000) - log(1575)) / log(1.045)

Calculating this expression, we find:

t ≈ 19.56 (rounded to two decimal places)

Therefore, it will take approximately 20 years (rounded to the nearest whole year) for the account to have at least $4000.

Learn more about "amount ":

https://brainly.com/question/25720319

#SPJ11

Answer:

D<28

Step-by-step explanation:

The required inequality for the given situation can be, d > 28 or d < 28

A relationship between two expressions or values that are not equal to each other is called inequality.

Given that, write an inequality for the situation.

Situation :-

A number of days, d, of sunshine is not 28.

Here, the number of days is said to be not equal to 28, we are not given if is less or more,

It can be less or more than 28 but not 28

So, here we get two situations,

Either, the number of days, d, of sunshine is less than 28, or the number of days, d, of sunshine is more than 28.

If we write these situations, mathematically, the inequalities we will have, are :-

1) The number of days, d, of sunshine is less than 28 :-

d < 28

2) The number of days, d, of sunshine is more than 28 :-

d > 28

Therefore, the two inequalities, are :- d < 28 or d > 28

Hence, the required inequality for the given situation can be, d > 28 or d < 28

Learn more about Inequalities, click;

https://brainly.com/question/30228778

#SPJ2

The complete question is :-

Write an inequality for the situation.

A number of days, d, of sunshine is not 28 .

Answer: + 1000

Step-by-step explanation:

Answer:

Convenience sampling

Step-by-step explanation:

From the question, we understand that 40 of all students are to be surveyed. This implies that from the 41st till the last student will not be a part of the survey.

When sampling is done, taking a part of the whole population that is near or readily available; such sampling is referred to as convenience sampling.

The whole population, in this case are all students while the convenience being selected are the first 40 students.

Answer:

D

i thank

Step-by-step explanation:

Bill should eat 4 cups of rice, 4 cups of tofu, and 4 cups of peanuts to meet his specific nutritional goals.

To determine how many cups of rice, tofu, and peanuts Bill should eat, we need to set up a system of equations based on the given nutritional information. Let's denote the number of cups of rice, tofu, and peanuts as x, y, and z respectively.

Based on the given information, we can establish the following equations

Carbohydrate equation: 46x + 6y + 26z = 312

Fat equation: 0x + 12y + 70z = 328

Protein equation: 2x + 15y + 28z = 180

We now have a system of three equations that we can solve to find the values of x, y, and z.

Using any appropriate method to solve the system of equations, we find

12y + 70z = 328

y = 328 - 70z/12

y = 27.33 - 5.833z

putting the value of y in both equation

2x + 15(27.33 - 5.833z ) + 28z = 180

2x + 28z + 409.95 - 87.45z = 180

(2x - 59.45z = -391.95)23

46x  - 1367.35z = - 9014.85

46x + 6(27.33 - 5.833z) + 26z = 312

46x + 163.98 - 34.998z + 26z = 312

46x - 8.998z = 148.02

equation both equation

- 8.998z + 1367.35z = 9014.85 + 148.02

z = 9162.87/1358.352

z ≈ 4

Solving equation we get

x = 4 cups of rice

y = 4 cups of tofu

z = 4 cups of peanuts

Therefore, Bill should eat 4 cups of rice, 4 cups of tofu, and 4 cups of peanuts to meet his nutritional goals.

To know more about specific click here :

https://brainly.com/question/24274472

#SPJ4

Answer:

it represents a polynomial

Answer:

158

Step-by-step explanation: