A bowl has 8 green and 15 red grapes, Henry randomly choses a grape and eats it. What is the probabilty that both grapes are green?

Answer:

1/10​b

Step-by-step explanation:

subtract 1/2 and 2/5 and you get then answer just add the b at the end of your answer.

Hope this helps! :)

Answer:

115°

Step-by-step explanation:

angles 4 and 5 are alternate angles which means they would be the same amount

Answer:

Solution given:

<5=115°[corresponding angle]

It has taken me 32 minutes to drive 48 km. If the total length of my journey is 146 km and I maintain the same speed,  then you can estimate that you will be driving for approximately 65.344 minutes longer to complete the remaining 98 km of your journey.

To estimate how much longer you will be driving for, we can use the concept of proportionality. We know that the time taken to drive 48 km is 32 minutes. Let's use this information to find the time it would take to drive 146 km.

We can set up a proportion to find the time:

(time taken for 48 km) / (48 km) = (time taken for 146 km) / (146 km)

Let's solve for the time taken for 146 km:

(time taken for 146 km) = (time taken for 48 km) * (146 km / 48 km)

Substituting the given values:

(time taken for 146 km) = 32 minutes * (146 km / 48 km)

Calculating the value:

(time taken for 146 km) ≈ 32 minutes * 3.042

(time taken for 146 km) ≈ 97.344 minutes

Therefore, it would take approximately 97.344 minutes to drive 146 km at the same speed.

To estimate how much longer you will be driving for, we can subtract the initial time of 32 minutes from the estimated time of 97.344 minutes:

Additional time = 97.344 minutes - 32 minutes

Additional time ≈ 65.344 minutes

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The system of equation can be solved using elimination method by "Multiply Equation B by 2 and add the results".

The correct answer option is option B

Equation A: x + 4y = 5

Equation B: 3x − 2y = 20

Multiply Equation B by 2 and add the results

6x - 4y = 40 equation C

x + 4y = 5 Equation A

6x + x = 40 + 5

7x = 45

divide both sides by 7

x = 45/7

x = 6.43

x + 4y = 5

6.43 + 4y = 5

4y = 5 - 6.43

4y = - 1.43

y = -1.43 / 4

y = - 0.3575

Therefore, multiplying Equation B by 2 and adding the results will help eliminate one of the variables.

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We have proven that if A and B are m x n matrices, then A and B are row equivalent if and only if A and B have the same reduced row echelon form.

Matrices are a type of mathematical structure used to store and analyze data. They are represented as a series of rows and columns, with each cell in the matrix containing a number or other value. Matrices are used to solve systems of equations, perform matrix multiplication and determine the inverse of a matrix. They are also used in linear programming, cryptography, and other areas of mathematics.

Row equivalence is defined as a pair of matrices A and B being row equivalent if there is a sequence of row operations that can transform A into B, or vice versa. This means that if A and B are row equivalent, then A and B can be transformed into one another by a series of row operations.

A reduced row echelon form is defined as a matrix in which all non-zero rows are above any rows of all zeroes and the leading coefficient of each non-zero row is 1. In other words, all of the non-zero rows have a leading coefficient of 1, and any rows of all zeroes are below the non-zero rows.

Therefore, if A and B are row equivalent, then A and B can be transformed into one another by a series of row operations. This means that we can use the same series of row operations to transform A and B into the same reduced row echelon form. This proves that if A and B are row equivalent, then A and B have the same reduced row echelon form.

On the other hand, if A and B have the same reduced row echelon form, then they must have been transformed into the same form by a series of row operations. This means that the same series of row operations must have been used to transform A and B into the same reduced row echelon form, which means that A and B are row equivalent. This proves that if A and B have the same reduced row echelon form, then A and B are row equivalent.
To prove that if A and B are m x n matrices, then A and B are row equivalent if and only if A and B have the same reduced row echelon form, we can use the definition of row equivalence and the definition of a reduced row echelon form.


Therefore, we have proven that if A and B are m x n matrices, then A and B are row equivalent if and only if A and B have the same reduced row echelon form.

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The intersection of sets M and F contains the elements "c" and "d".

To find the intersection of sets M and F, we need to identify the elements that are common to both sets.

M = {a, b, c, d}

F = {c, d, e, f}

The intersection of M

and F is denoted by M ∩ F, which represents the set containing elements that are present in both M and F.

Looking at the elements in M and F, we can see that the common elements between the two sets are "c" and "d".

Therefore, the intersection of M and F can be expressed as:

M ∩ F = {c, d}

So, the intersection of sets M and F contains the elements "c" and "d".

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The interest paid for the loan is $1748

Given that there is a 6.1% interest rate for a loan of $28,654 in student loan debt pay in the first year,

We need to find the interest paid for the same.

So,

Simple Interest = principal × time × rate / 100

= 28654 × 1 × 6.1 / 100

= 28654 × 0.061

= 1747.894

= 1748

Hence the interest paid for the loan is $1748

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The equation of the line that passes through the point (-3, 7) and has a slope of -5/3 is y - 7 = (-5/3)(x + 3).

We are given the point (-3, 7) and the slope of the line as -5/3.The slope-intercept form of a line is y = mx + b where m is the slope and b is the y-intercept.

To obtain the equation of the line, we need to substitute the values of slope and point in the slope-intercept form and solve for b.(7) = (-5/3)(-3) + b 21/3 = b.

Now we have the value of b, and we can substitute the values of m and b in the slope-intercept form.y = (-5/3)x + 21/3 is the equation of the line in slope-intercept form.

To obtain the equation in the standard form Ax + By = C, we multiply each term by 3.3y = -5x + 7Add 5x to both sides5x + 3y = 7.

This is the equation of the line in standard form.

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The joint relative frequency for school children who plan to attend camp and have swimming lesson is 44%.

The correct option to the given question is option d.

We are required to find the joint relative frequency for school children who plan to attend camp and have swimming lessons, rounded to the nearest percent.

To find the joint relative frequency, we use the formula as follows:

Joint relative frequency = frequency of interest / total frequency

Joint relative frequency for school children who plan to attend camp and have swimming lessons = 42 / 96

(As we are looking for the students who plan to attend camp and have swimming lessons, we are interested in the first column of the table and the entry at the intersection of the first row and second column.)

Joint relative frequency for school children who plan to attend camp and have swimming lessons = 0.4375

Joint relative frequency for school children who plan to attend camp and have swimming lessons (rounded to the nearest percent) = 44%(option d).

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Answer:

125

Step-by-step explanation:

5^3 = 5*5*5

5*5*5 = 25*5 = 125

Hope this helps :)

Have a nice day!

Answer:

125

Step-by-step explanation:

5^3 = 5*5*5

5*5*5 = 25*5 = 125

Answer:

Ann traveled 165 miles on 5 gallons of gas

Step-by-step explanation:

First we must know how many miles are in a gallon (in this situation). Last weekend Ann drove 132 miles with 4 gallons of gas, we can divide to find out how many miles she drove on 1 gallon. 132/4 = 33. This means Ann drove 33 miles on 1 gallon of gas. To get your answer, simply multiply 5 and 33. 5 times 33 = 165.

1.) slope: -4 (m = -4)

2.) slope: 0 (m = 0)

3.) slope: undefined (infinite)

4 & 5 are pictured below:)

hope this helps!

Answer: 25

Step-by-step explanation:

10           6

/       =      /

x             15

Just cross multiply, so do 10*15 = 6*x

10*15 = 6*x

150 = 6*x

Divide by 6 on both sides to isolate x.

25 = x

Answer:

x = 25

Step-by-step explanation:

first simplify the 6/15 by dividing 6 and 15 both with 3
10/x = 2/5
then multiply with 5x on both sides to get rid of the fraction:
5x * (10/x) = 5x * (2/5)
then shorten and solve:
5 * 10 = x * 2
50 = x * 2
25 = x

Answer:

Here you go!

Step-by-step explanation:

The stem and leaf plot is plotted using the key:

X|Y ⇒ X is on the stem and Y is on the leaf for the number XY.

A stem leaf plot is a tabular representation of data where the first digit is plotted in the stem and the second digit is plotted in the leaf.

A key for a number XY is written as such:

X|Y ⇒ X is on the stem and Y is on the leaf for the number XY.

We take each data given to us according to this key:

4|7 ⇒ 4 is on the stem and 7 is on the leaf for the number 47.

6|1 ⇒ 6 is on the stem and 1 is on the leaf for the number 61.

2|5 ⇒ 2 is on the stem and 5 is on the leaf for the number 25.

1|9 ⇒ 1 is on the stem and 9 is on the leaf for the number 19.

3|0 ⇒ 3 is on the stem and 9 is on the leaf for the number 30.

3|3 ⇒ 3 is on the stem and 3 is on the leaf for the number 33.

7|2 ⇒ 7 is on the stem and 2 is on the leaf for the number 72.

6|5 ⇒ 6 is on the stem and 5 is on the leaf for the number 65.

5|5 ⇒ 5 is on the stem and 5 is on the leaf for the number 55.

2|9 ⇒ 2 is on the stem and 9 is on the leaf for the number 29.

5|4 ⇒ 5 is on the stem and 4 is on the leaf for the number 54.

4|9 ⇒ 4 is on the stem and 9 is on the leaf for the number 49.

3|8 ⇒ 3 is on the stem and 8 is on the leaf for the number 38.

8|1 ⇒ 8 is on the stem and 1 is on the leaf for the number 81.

7|7 ⇒ 7 is on the stem and 7 is on the leaf for the number 77.

3|3 ⇒ 3 is on the stem and 3 is on the leaf for the number 33.

4|0 ⇒ 4 is on the stem and 0 is on the leaf for the number 40.

The plot is attached.

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Answer:

0

Step-by-step explanation:

y = 3 × 6x

0 = 3 × 6x

0 = 18x

18x = 0

x = 0

Hope this helps! :)

The distance, using the distance formula, between the cities A and B is 6.4 units.

The distance formula is used to calculate the distance between any two points (x₁, y₁) and (x₂, y₂) on the coordinate plane. It is given as:

d = √{ (x₂ - x₁)² + (y₂ - y₁)² }.

In the question, we are asked to find the distance between cities A and B using the given map.

In the map, that is, the coordinate plane, we can see that the coordinates of A are (0, 0) and the coordinates of B are (5, 4).

Applying the distance formula, we get the distance between A and B as:

d = √{ (5 - 0)² + (4 - 0)² },

or, d = √{ 5² + 4² },

or, d = √{ 25 + 16 },

or, d = √41,

or, d = 6.403124237432849,

or, d ≈ 6.4.

Thus, the distance, using the distance formula, between the cities A and B is 6.4 units.

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The range of the data is the difference between the highest and lowest values, which is 8 inches. Adding another plant with a height of 14 inches would not change the range, so the range would remain 8 inches.

Data is a collection of facts, figures, or information that can be processed and used to draw conclusions or make decisions. It can be stored in a variety of formats, including numerical, text, images, audio, and video. Data can be collected from a variety of sources, such as surveys, observations, experiments, or transactions. It can be used to inform decisions in areas such as business, health care, education, and research. Data can be analyzed to gain insight, develop strategies, identify trends, and make predictions. Data is a valuable resource and is increasingly important in today's digital age.

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Answer:

Y = -4x +(-6) is required answer ....

Answer:

8,4

Step-by-step explanation:

Step 1: Find the slope of the line.

Step 2: Use the slope to find the y-intercept.

Step 3: Use steps 1 and 2 to write the answer.

I will explain these steps by looking a several examples. Please understand that there are often several

different ways to complete each math problem, but I have found through the years that students are most

successful when the do problems the same way each and every time they attempt the problem. If you

know a different way to find the answer that is great, but I am going to show how to do the problem one

way and use the same technique everytime I see this problem.

Example 1: Find the equation of the line passing through the points (–1, –2) and (2, 7).

Step 1: Find the slope of the line.

To find the slope of the line passing through these two points we need to use the slope

formula:

( )

( )

So the slope of the slope of the line passing through these two points is 3.

Step 2: Use the slope to find the y-intercept.

Now that we know the slope of the line is 3 we can plug the slope into the equation and

we get:

y = 3x + b

Next choose one of the two point to plug in for the values of x and y. It does not matter

which one of the two points you choose because you should get the same answer in either

case. I generally just choose the first point listed so I don’t have to worry about which

one I should choose.

(–1, –2) → –2 = 3(–1) + b Multiply to simplify the problem.

–2 = –3 + b Solve for b and you will have the y-intercept.

b = 1

Answer:

65°

Step-by-step explanation:

Sum of interior angles of a triangle = 180°

⇒ m∠EAB = 180 - 90 - 70 = 20°

⇒ m∠DAG = 90 - 45 - 20 = 25°

⇒ m∠AGD = 180 - 90 - 25 = 65°

ΔADG ≅ ΔAFG

⇒ m∠AGD = m∠AGF = 65°

ΔABE ≅ ΔAFE

⇒ m∠AEB = m∠AEF = 70°

In order to simplify this expression, we can use the following properties:

So we have:

Answer:

30 ft²

Step-by-step explanation:

Area of trapezium = 1/2 (a + b)h

a = 6 ft , b = 9 ft , h = 4 ft

Area = 1/2 (6 + 9) 4

= 30 ft²

Answer:

D

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The calculated measure of the angle D is (c) 32 degrees

From the question, we have the following parameters that can be used in our computation:

The triangles ABC and DEF

The triangles are similar triangles

This means that the corresponding angles are equal

Given that

A = 32 degrees

And the corresponding angle is D

We have

D = 32 degrees

Hence, the measure of the angle is (c) 32 degrees

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