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In a group of 23 students, 2 study both Art and Biology.

2 study Biology but not Art.

4 study neither subject.

Given that a randomly selected student studies Art, what is the probability the student studies Art and Biology?

Therefore , the solution of the given problem of linear equation comes out to be x= -6 , y = 45 and z =60.

The algebraic equation y=mx+b stands in for a linear equation. The slope is m, and B is the y-intercept. The last phrase referred to a "simple formula with two elements" where both y and x are variables. Bivariate linear equations are calculations involving two variables. Here are a few examples: The outcomes are 2x - 3 = 0; 2y = 8; m + 1 = 0; x/2 = 3; x + y = 2; and 3x - y + z = 3. If the answer to a mathematical equation is in the form y=mx+b, where m denotes the slope and b the y-intercept, the equation is said to be linear.

Here,

Given :

According to parallelogram laws

adjacent side sum is 180 degree

=> 4y + 3x-18 = 180

=> 4y+3x = 162

and

2x+12+3z = 180

=> 2x + 3z = 168

and

=> 3x+3z = 162

=> x + z =54

=> z = 54-x

So,

2x + 3(54-x) = 168

=> 162 - 3x+2x =168

=> -x = 6

or x =-6

and

z = 60

and

y = 162 - 3x /4

=> y= 162 +18 /4

=> y =180/4

=> y = 45

Therefore , the solution of the given problem of linear equation comes out to be x= -6 , y = 45 and z =60.

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Answer:

Price after discount is $54

You save $36

Step-by-step explanation:

Answer:

The answer is 512.

Step-by-step explanation:

You need to split the parts of the sheet into two parts to be able to multiply it correctly. Then you separately multiply the parts and then add them up in the end.

Answer: x= -2, -3

Step-by-step explanation: Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

Answer:2/5

Step-by-step explanation:

2/5+1/5 equals 3/5, so if the rest of the mixture is chili powder, it would be 2/5

Step-by-step explanation:

L.H.s.

R.H.S.

Answer:

D

Step-by-step explanation:

Answer: The first and third options are correct.

Step-by-step explanation:

Therefore , the solution of the given problem of equation comes out to be  [tex]x^{2}[/tex]-2x-37/(x-8) (x+5).

An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equality of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to express the connection between two phrases on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.

Here,

Given :([tex]x^{2}[/tex]-2x-37)/([tex]x^{2}[/tex]-3x-40)

[tex]x^{2}[/tex]-3x-40

Factor[tex]x^{2}[/tex]-2x-37

[tex]x^{2}[/tex]-2x-37/(x-8) (x+5)

Thus ,

the factors comes out to be [tex]x^{2}[/tex]-2x-37/(x-8) (x+5)

Therefore , the solution of the given problem of equation comes out to be  [tex]x^{2}[/tex]-2x-37/(x-8) (x+5).

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Answer:

Since in this option the minute is paid at $0.40, the best option is 10 minutes for $ 4.

Step-by-step explanation:

Since four friends, Abe, Bob, Carl, and Darrel, are going to a fun park, and they want to ride go-karts, and the price to ride the go-karts is $ 2.15 for 5 minutes, $ 4.00 for 10 minutes, or $ 6.75 for 15 minutes, to determine which price is the best deal, the following calculations must be performed:

2.15 / 5 = 0.43

4/10 = 0.40

6.75 / 15 = 0.45

Therefore, since in this option the minute is paid at $ 0.40, the best option is 10 minutes for $ 4.

The range between 3/16 & 3/8 is where the line plot with the difference of daily mileage logged by each racer in a group is still most obvious.

A line graph, liner plot, or line chart is a graph that uses lines to link the individual data points. For a specific time period, quantitative values are displayed as a line graph. Line graphs are widely used in finance to depict the past market movements of a securities or asset.

Here,

calculation

The number line indicates that there's more than or equal to 3 marks when there are 7 markings either on or to the right of 3. The fraction must first have the same denominators.

=> 3/8 x 2 = 6/16

=> 1/2 x 8 = 8/16, 3/8 x 2 = 6/16

=> 5/8 x 2 = 10/16, 1/2 x 8 = 8/16

Since they all have the same numerator, we can now compare them.

=> 3/16 - 1/16 = 2/16

=> 6/16 - 3/16 = 3/16

=> 8/16 - 6/16 - 2/16

=> 10/16 - 8/16 = 2/16

The largest distinction is between 3/16 and 3/8 (6/16 vs. 3/16).

The range between 3/16 and 3/8 is where the line plot with the difference in daily mileage logged by each runner in a group is most obvious.

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The complete question is " Coach Taylor asked his team to record the distance they ran during practice The line plot shows the number of miles the individual members in a group of runners run each day. How many runners run at least 3 miles per day?."

The gradient of the linear equation 2x + 3y + 6 is (3/2).

The gradient of a linear equation in the form of y = mx + c is m, which represents the slope of the line. The slope is defined as the ratio of the change in y to the change in x. It represents the steepness of the line.

The equation 2x + 3y + 6 is not in the form of y = mx + c. It is in the form of Ax + By + C = 0, which is the general form of a linear equation. To find the gradient of such an equation we need to divide -A/B. In this case, the gradient of the line is -2/3.

The gradient of a line gives us the direction of the line, it is the slope of the line. It tells us how steep the line is and if it is going up or down. A positive gradient means the line is going up and a negative gradient means the line is going down.

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Answer:

48.2 in^3

Step-by-step explanation:

It'd be easier to calculate the volume if you'd change the mixed numbers to mixed numers with decimal fractions:

2 1/2 becomes 2.5

3 2/3 becomes 3.67

5 1/4 becomes 5.25

Then V = L*W*H, or

V = (5.25 in)(3.67 in)(2.5 in) = 48.2 in^3

Answer:

TSA of ice cream cone = 330 cm^2

Step-by-step explanation:

Total Surface Area of ice cream cone = pie r( r+h )

22/7 * 7 (7+8)

22 ( 7+8)

22*15

= 330 cm. square

Answer:

sinL = [tex]\frac{72}{97}[/tex]

Step-by-step explanation:

sin L = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{KM}{LK}[/tex] = [tex]\frac{72}{97}[/tex]

Answer:

Step-by-step explanation:

Answer:

20%

Step-by-step explanation:

28 / 140 = 0.20 which is 20%

The area of the hexagonal region exists 2116(√2 + 1) then the value of AB is 046.

All of the inner angles and all of the vertices must be smaller than 180 degrees for a convex hexagon. There are both regular and irregular convex hexagons.

There are no angles inside a convex hexagon. More specifically, no internal angle may exceed 180 degrees. Any internal angle that exceeds 180 degrees is concave.

Let the side length be x

The diagonal BF = √(AB² + AF²) = √(x² + x²) = x√2.

Then the areas of the triangles AFB and CDE in total exists (x²/2) × 2, and the area of the rectangle BCEF equals x × x√2 = x²√2.

Let the equation be

2116(√2 + 1)  = x²√2 + x²

simplifying the above equation, we get

2116(√2 + 1)  = x²(√2 + 1)

2116 = x²

x = 46

Therefore, the value of AB exists 0.46.

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The area of the hexagonal region exists 2116(√2 + 1) then the value of AB is 046.

A convex hexagon requires that all of the inner angles and all of the vertices be smaller than 180 degrees. Convex hexagons come in both regular and irregular varieties.

The interior of a convex hexagon is flat. No internal angle may be greater than 180 degrees, to be more precise. Concavity is defined as an interior angle greater than 180 degrees.

Let the side length be x

The diagonal BF = √(AB² + AF²) = √(x² + x²) = x√2.

Then the areas of the triangles AFB and CDE in total exists (x²/2) × 2, and the area of the rectangle BCEF equals x × x√2 = x²√2.

Let the equation be

2116(√2 + 1)  = x²√2 + x²

simplifying the above equation, we get

2116(√2 + 1)  = x²(√2 + 1)

2116 = x²

By taking root both sides,

x = 46

Therefore, the value of AB exists 0.46.

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The median number of hurricanes per year reaching the East Coast from 1944 through 2000 is two.

Median number is the middle value of a set of numbers. It is the number found at the midpoint of a sorted data set, when all the numbers are arranged in numerical order from lowest to highest. The median number is used to determine the average of a set of numbers, and is often used to represent the central tendency of the data. To calculate the median, first arrange the numbers from lowest to highest, then locate the middle value. If there is an even number of values, the median is the average of the two middle numbers.

This is calculated by taking the middle value of the data set. In this case, there were 18 years with one hurricane, 16 years with two hurricanes, 13 years with three hurricanes, and six years with four hurricanes. Thus, the median number of hurricanes in this data set is two.

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Answer:

red

Step-by-step explanation:

Answer:240 square feet

Step-by-step explanation:

Answer:240

Step-by-step explanation:

Answer:

7m: multiplied by, times

x^2: squared, to the power of

2 - 4m: less than, difference

3r/b: quotient

4k + 7: increased by, more than, altogether

3(2 + y): multiplied by, per, product

good luck!!

Step-by-step explanation:

divide 3 by 2 because that would be the radius and you need the radius to find the area so do 1.5 times 1.5 times pi (3.14ish) and you should get around 7.07 then times that by 20 because the jewler is making 20 of them and then you should get about 141.4 inches

The deposit to be made to save $10,000 in 5 years is $8189.67 when compounded monthly.

Compound interest is interest on a loan or deposit that is calculated on both the principal amount and the interest accumulated in previous periods. It differs from simple interest, which is calculated on the principal only. Compound interest can be more favorable to the lender and more expensive to the borrower. The frequency of compounding (annual, quarterly, monthly, etc.) also affects the total amount of interest earned or paid.

Given that:

A = $10,000

r = 4% = 0.04

t = 5 years

n = 12 (since the compounding is monthly)

P = ?

The compound interest is given as follows:

[tex]A= P(1+\frac{r}{n} )^{nt}[/tex]

Substituting the values in the formula we have:

[tex]10000= P(1+\frac{0.04}{12} )^{(12)(5)}\\\\10000= P(1+0.0033 )^{(60)}\\\\10000= P(1.0033 )^{(60)}\\\\10000= P(1.2185)\\\\P= \frac{10000}{1.2185} \\\\P=8189.67[/tex]

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Answer:

slope = 3/2

Step-by-step explanation:

rise/run = 60/40 = 6/4 = 3/2

You can download[tex]^{}[/tex] the answer here

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The odds from the probability is 14 : 11

The value of the probability is given as

Probability in the next 10 minutes = 0.56

This means that

p = 0.56

Represent the probability as a fraction

So, we have the following representation

p = 56/100

Simplify the fraction

p = 14/25

To convert the probability to odds, we make use of the following equation

Probability = Odds/(1 + Odds)

Substitute the known values in the above equation, so, we have the following representation

14/25 = Odds/(1 + Odds)

So, we have

(1 + Odds) * 14/25 = Odds

This gives

14/25 + Odds * 14/25 = Odds

Evaluate the like terms

11/25 * Odds = 14/25

So, we have

Odds = 14/11

Express as ration

Odds = 14 : 11

Hence, the odds is 14 : 11

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The product of 3p, 4p² and 5p 7 is 120p⁹.

Product is an item or thing that is created or produced by a business. It can refer to both physical and intangible items, such as machines, food, software, intellectual property, or services. The concept of a product is used in many different industries, including manufacturing, retail, technology, and finance. Products are typically sold in exchange for money, but can also be given away or traded. Products are an essential part of any business, as they are what generate income for a company.

This can be calculated by multiplying 3p (3 x p) with 4p² (4 x p²) and 5p 7 (5 x p x 7). The result of this multiplication is 120p⁹ (3 x 4 x 5 x p x p² x 7).

To understand this calculation better, we can break it down into its component parts.

The 3p component is 3 x p, which gives us 3p. The 4p² component is 4 x p², which gives us 4p². The 5p 7 component is 5 x p x 7, which gives us 5p 7. When these three components are multiplied together we get 3 x 4 x 5 x p x p² x 7,which is equivalent to 120p⁹.
In conclusion, the product of 3p, 4p² and 5p 7 is 120p⁹.

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Answer:

Average \

hope this helped

Step-by-step explanation:

Answer:

the mean is also known as the average

Step-by-step explanation:

have a good day