What is the mean ?

35,36,40,35,34,39,37,34

The probability of a prime number or a number greater than 3 coming up is given as follows:

5/6.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

When a dice is thrown, there are six possible outcomes, ranging from 1 to 6, and the desired outcomes are given as follows:

Hence the probability is given as follows:

5/6.

Learn more about the concept of probability at https://brainly.com/question/24756209

#SPJ1

Answer:

hope this helps ✌

MULTIPLY THE FIRST EQUATION BY -2 & ADD THEM.

-4X+8Y=-14

4X-2Y=9

6Y=-5

Y=-5/6 ANSWER.

4X-2*-5/6=9

4X+10/6=9

Step-by-step explanation:

Lets start with the given system of linear equations

2%2Ax-4%2Ay=7

4%2Ax-2%2Ay=9

In order to solve for one variable, we must eliminate the other variable. So if we wanted to solve for y, we would have to eliminate x (or vice versa).

So lets eliminate x. In order to do that, we need to have both x coefficients that are equal but have opposite signs (for instance 2 and -2 are equal but have opposite signs). This way they will add to zero.

So to make the x coefficients equal but opposite, we need to multiply both x coefficients by some number to get them to an equal number. So if we wanted to get 2 and 4 to some equal number, we could try to get them to the LCM.

Since the LCM of 2 and 4 is 4, we need to multiply both sides of the top equation by 2 and multiply both sides of the bottom equation by -1 like this:

2%2A%282%2Ax-4%2Ay%29=%287%29%2A2 Multiply the top equation (both sides) by 2

-1%2A%284%2Ax-2%2Ay%29=%289%29%2A-1 Multiply the bottom equation (both sides) by -1

So after multiplying we get this:

4%2Ax-8%2Ay=14

-4%2Ax%2B2%2Ay=-9

Notice how 4 and -4 add to zero (ie 4%2B-4=0)

Now add the equations together. In order to add 2 equations, group like terms and combine them

%284%2Ax-4%2Ax%29-8%2Ay%2B2%2Ay%29=14-9

%284-4%29%2Ax-8%2B2%29y=14-9

cross%284%2B-4%29%2Ax%2B%28-8%2B2%29%2Ay=14-9 Notice the x coefficients add to zero and cancel out. This means we've eliminated x altogether.

So after adding and canceling out the x terms we're left with:

-6%2Ay=5

y=5%2F-6 Divide both sides by -6 to solve for y

y=-5%2F6 Reduce

Now plug this answer into the top equation 2%2Ax-4%2Ay=7 to solve for x

2%2Ax-4%28-5%2F6%29=7 Plug in y=-5%2F6

2%2Ax%2B20%2F6=7 Multiply

2%2Ax%2B10%2F3=7 Reduce

2%2Ax=7-10%2F3 Subtract 10%2F3 from both sides

2%2Ax=21%2F3-10%2F3 Make 7 into a fraction with a denominator of 3

2%2Ax=11%2F3 Combine the terms on the right side

cross%28%281%2F2%29%282%29%29%2Ax=%2811%2F3%29%281%2F2%29 Multiply both sides by 1%2F2. This will cancel out 2 on the left side.

x=11%2F6 Multiply the terms on the right side

So our answer is

x=11%2F6, y=-5%2F6

which also looks like

(11%2F6, -5%2F6)

Notice if we graph the equations (if you need help with graphing, check out this solver)

2%2Ax-4%2Ay=7

4%2Ax-2%2Ay=9

we get

graph of 2%2Ax-4%2Ay=7 (red) 4%2Ax-2%2Ay=9 (green) (hint: you may have to solve for y to graph these) and the intersection of the lines (blue circle).

and we can see that the two equations intersect at (11%2F6,-5%2F6). This verifies our answer.You really don't want to solve this system by 'addition.' What you want is to solve it by elimination, using addition as one of the steps of the process.

The idea of solving by elimination is to multiply (if necessary) one of the equations by some constant so that one of the variables will have a coefficient that is the additive inverse of the coefficient on the same variable in the other equation.

In this example, multiply the first equation by -2, resulting in a coefficient on the x term of -4. -4 is the additive inverse of the 4 coefficient on x in the second equation.

-4x+%2B+8y+=+-14

4x-2y=9

Now you can add the two equations, term-by-term. That is, you add the x terms to the x terms, the y terms to the y terms, and the constants to the constants, resulting in one equation with a zero coefficient on one of the variables, in this case, x.

The sum equation is:

0x%2B6y=-5

Divide by 6:

y=-%285%2F6%29

Now that you have a value for y, you can either substitute that value into either one of the original equations and solve for x, or you could take the original two equations, multiply one of them by an appropriate constant to eliminate the y variable so that you can solve for x. Either way works. Watch carefully:

4x-2%28-5%2F6%29=9

4x%2B5%2F3=9

4x=%2827%2F3%29-%285%2F3%29

4x=22%2F3

x=11%2F6

The length of u, to the nearest inch, is 1818 inches.

To solve this problem, we can use the Law of Sines, which states that the ratio of the length of a side of a triangle to the sine of its opposite angle is constant.

In this case, we'll use the following formula:

a/sin(A) = b/sin(B) = c/sin(C)

Let's label the sides and angles of the triangle:

Side a = u (length of u)

Side b = t (820 inches)

Side c = v (length of v)

Angle A = m/U (132°)

Angle B = m2V (25°)

Angle C = 180° - A - B (as the sum of angles in a triangle is 180°)

Now, we can use the Law of Sines to set up the equation:

u/sin(A) = t/sin(B)

Plugging in the given values:

u/sin(132°) = 820/sin(25°)

To find the length of u, we'll solve this equation for u.

u = (820 \(\times\) sin(132°)) / sin(25°)

Using a calculator, we can evaluate the right side of the equation to get the approximate value of u:

u ≈ (820 \(\times\) 0.9397) / 0.4226

u ≈ 1817.54 inches

Rounding to the nearest inch, we have:

u ≈ 1818 inches

For similar question on Law of Sines.

https://brainly.com/question/30401249  

#SPJ8

Answer:

answer is 1

Step-by-step explanation:

divide the length value by 5280 I hope there help

Answer:228m

Step-by-step explanation: 19m x 12m = 228m

Answer: 228m

Step-by-step explanation: Just multiply 19m by 12m. That's how you find area.

The greatest number of groups that can be formed is 7.

It should be noted that there are 56 dancers wearing green outfits and 42 dancers wearing yellow outfits.

The greatest number of groups that can be formed will the highest common factor between the numbers.

It should be noted that the highest common factor between 42 and 56 is 7.

Therefore, the greatest number of groups that can be formed is 7.

Learn more about factor on:

brainly.com/question/24673551

#SPJ1

Answer:

w(25) = 96

There are 96 wolves in the year 2020

Step-by-step explanation:

Given:

\(w(x)=14\cdot 1.08^{x}\)

w(25) =

\(w(25)=14\cdot 1.08^{25}\\\\= 14 * (6.848)\\\\=95.872\\\\\approx 96\)

Number of years : 1995 + 25 = 2020

In 2020, there are 96 wolves

Answer:

1/3

Step-by-step explanation:

1/4×3/2×8/9

Rewriting

8/4 * 3/9 *1/2

Simplify

2 * 1/3 * 1/2

Rewriting

2/2 * 1/3

1 * 1/3

1/3

Answer:

See answer in the image below.

Answer:

there are 120 possible points in the sample space if we select 3 batteries at random from a bag containing 6 batteries of different brands.

Step-by-step explanation:

The counting principle states that if there are n ways to do one thing and m ways to do another, then there are n x m ways to do both.

In this case, we want to determine how many ways we can select 3 batteries out of 6. Using the counting principle, we can break down the selection process into three steps:

Select the first battery. There are 6 choices for the first battery.

Select the second battery. There are 5 choices left for the second battery, since we've already selected one.

Select the third battery. There are 4 choices left for the third battery.

Using the counting principle, we can multiply the number of choices for each step to get the total number of ways to select 3 batteries:

6 x 5 x 4 = 120

Therefore, there are 120 possible points in the sample space if we select 3 batteries at random from a bag containing 6 batteries of different brands.

Answer:

x = 3

Step-by-step explanation:

Hello!

We can distribute the parenthesis and solve for x.

The value of x is 3.

We can plug it back in to check if it works.

Correct!

Answer:

\(\huge\boxed{\sf x = 3}\)

Step-by-step explanation:

9 - 2(x - 5) = x + 10

Distribute

9 - 2x + 10 = x + 10

Subtract 10 to both sides

9 - 2x = x

Add 2x to both sides

9 = x + 2x

9 = 3x

Divide 3 to both sides

9/3 = 3x/3

3 = x

OR

\(\rule[225]{225}{2}\)

Answer:

pog champ

Step-by-step explanation:

Answer:

to make it 21

Step-by-step explanation:

Answer:

7/3

Step-by-step explanation:

7 is in numerator's and 3 is in denominator's position.

hello

the answer to the question is:

x³ - 3x² + 3x - 1 > (3/2)x(x - 1)² ---->

(x - 1)³ > (3/2)x(x - 1)² ----> x - 1 > (3/2)x ---->

(1/2)x < - 1 ----> x < 2

The percent of the baked foods that are cakes will be 25.33%

It should be noted that a percentage simply has to do with the a value or ratio which can be stated as a fraction of 100. It should be noted that when we want to we calculate a percentage of a number, we simply divide it and then multiply the value that is gotten by 100.

The percentage then refers to a component per hundred. The word percentage simply means per 100 and it is represented by %. In this situation, the bakery produces 280 loaves of bread and 95 cakes daily.

The percent of the baked foods that are cakes will be:

= Number of cakes / Number produced daily × 100

= 95 / (280 + 95) × 100

= 95 / 375 × 100

= 25.33%

Learn more about percentages on:

https://brainly.com/question/24877689

#SPJ1

The experimental probability of members of Chris's class ending up with heads is about 3/5 or 0.6 (60%).

The experimental probability is one that can be calculated by:

dividing the number of favorable outcomes (the number of heads) by the total number of outcomes (the total number of students).

So, the number of heads recorded was 18, and the total number of students was 30.

Experimental probability = Number of heads / Total number of students

= 18 / 30

So one can simplify the fraction by:

Experimental probability = 3 / 5

Therefore, the experimental probability of members of Chris's class ending up with heads is 3/5 .

Learn more about probability  from

https://brainly.com/question/13604758

#SPJ1

Answer: 14.22 ounces each

Step-by-step explanation:

128 ounces in a gallon divided by 3 divided by 3 again

The total medical expenses for the five people in the car are $3,000 + $3*$500 + $62,000 = $3,000 + $1,500 + $62,000 = $66,500

What does a math word problem entail?

A math word problem is a question that is written as one or more sentences and asks students to use their mathematical understanding to solve an issue from "real world." In order for kids to understand the word problem, they must be familiar with the terminology that goes along with the mathematical symbols that they are used to.

Since Allen's personal injury protection policy covers each person up to $50,000, the insurance company must pay out $50,000*5 = $250,000 for the five people in the car.

Since the total medical expenses for the five people are $66,500, the insurance company will pay out the total medical expenses for the five people, which is $66,500.

Therefore, the insurance company must pay out $66,500 for these five people.

Learn more about word problem

https://brainly.com/question/21405634

#SPJ1

Multiply by 6, 7, 8, and 9 fill in the puzzle so that the product in each column and row is the same is 3024.

What  is Multiply?

Multiplying in math is the same as adding equal groups. The number of items in the group grows as we multiply. Parts of a multiplication issue include the product, the two factors, and the product. The components in the multiplication problem 6 x 9 = 54 are the numbers 6 and 9, and the result is the number 54.

\(\begin{aligned}& 6 \times 8=48 \\& 6 \times 9=54 \quad \text { find the common } \\& \text { multiple } \\& 9 \times 7=63 \quad 6 \times 7 \times 8 \times 9=3024 \\&\end{aligned}\)

To learn more about Multiply visit:https://brainly.com/question/23536361

#SPJ4

Answer:

700,00

Step-by-step explanation:

700,000 is the answer.

Nathaniel drinks 3 glasses of water in one hour.

To find out how many glasses of water Nathaniel drinks in one hour, we need to calculate his drinking rate per hour.

In 2 2/5 hours, Nathaniel drinks 4/5 of a 10-ounce glass of water.

Let's convert the mixed number of hours to an improper fraction:

\(2\frac{2}{5} = \frac{(5 \times2 + 2)}{5}\)

\(=\frac{12}{5}\)

Now, we can set up a proportion to find his drinking rate per hour.

We know that \(\frac{12}{5}\) hours corresponds to \(\frac{4}{5}\) of a glass of water.

Let's assign "x" as the number of glasses he drinks in one hour.

The proportion is then

\(\frac{(\frac{12}{5} hours) }{(x glasses) } =\frac{(\frac{4}{5} glass)}{(1 hour)}\)

Cross-multiplying gives us

\((\frac{12}{5} )\times1=\frac{4}{5}\times(x)\)

Simplifying, we get

\(\frac{12}{5} =\frac{4}{5}\times x\)

Dividing both sides by \(\frac{4}{5}\), we find x:

\(x=\frac{(\frac{12}{5} )}{\frac{4}{5} }\)

\(x=\frac{12}{4}\)

\(x = 3.\)

Therefore, Nathaniel drinks 3 glasses of water in one hour.

For such more such question on glasses

https://brainly.com/question/11980886

#SPJ8

Daniella: Were you thinking of perpendicular lines?

Ori: It seems like you've got the basic idea, but your definition could be more precise.

Kaori: Yes! Well done. Here, have a cookie. You've earned it.

The quotient of the given expression is 68.

What is the quotient?

A quotient in mathematics is the amount created by dividing two numbers. The term "quotient" is used frequently in mathematics and is sometimes known as the integer portion of a division, a fraction, or a ratio.

For the given problem,

To find out the estimation of the quotient, we first round the dividend and the divisor to the closest tens, hundreds, or thousands, and then divide the rounded figures to approximate the quotient.

Given, 3411 divided by 53

So, the rounding value becomes 3400 divided by 50,

then, 3400/50 = 68

Hence, the quotient is 68.

To learn more about quotient

https://brainly.com/question/15305334

#SPJ1

Answer:

09

Step-by-step explanation:

3/10 ............. in one day

3/10 X 30...... in one month

9 bags

The person walks 128 feet if she walked around the square pathway.

The plane forms that can be sketched on a flat (or plane) surface or a piece of paper are known as 2D shapes. Every 2D shape has different attributes, like area and perimeter. Some of the two-dimensional objects have sides and corners, while others have curved edges.

Given two pathways,

circular and square, and the circular pathway is inscribed inside of a square pathway,

area of circular pathway = 768 square feet

area of circle = π/4*d²

where d is the diameter

768 = π/4*d²

768*4 = πd² (π = 3)

3072/3 = d²

d = √1024

d = 32 feet

since the circle is inscribed in a square the length of a side of square is equal to the diameter of the circle,

d = a = 32 feet

to find the perimeter of the square path,

perimeter of square = 4a

perimeter of square = 4*32

perimeter of square = 128 feet

Hence the person has to cover 128 feet if she walked around the square pathway.

Learn more about 2D shapes;

https://brainly.com/question/30162250

#SPJ1

Answer:

9°

Step-by-step explanation:

In a ∆, equal sides make equal angle to the third side. So the angle that's not mentioned is same '2'.

Sum of angles in a ∆ = 180°

80° + m/_2 + m/_2 = 180°

80° + (5x + 5) + (5x + 5) = 180°

10x + 90° = 180°

10x = 90°

x = 9°

Answer:

9 bags

Step-by-step explanation:

2 1/4 ÷ 1/4

9/4 ÷ 1/4

9/4 x 4/1 = 9

The (C) solution of the equation is the value of the variable that causes an equation to be a true statement.

So, the Root or solution of the equation is the value of the variable that turns an equation into a true statement. ​

For instance,

The equation's solution in this case is x = - 2.

Here, the equation's roots or solutions are x = 1 and -1.

Therefore, the (C) solution of the equation is the value of the variable that causes an equation to be a true statement.

Know more about equations here:

https://brainly.com/question/2972832

#SPJ13

The complete question is given below:

The value of the variable which makes an equation a true statement is called the ________ of the equation.​

A. Coefficient

B. Equation

C. Solution

D. Algebraic expression

E. Constant

F. Variable

The amount of force on the grain of rice is 23.52 × 10⁻⁵ newtons.

The right format for scientific notation is a × 10ᵇ, where an is an integer or decimal number with an absolute value more than or equal to one and less than ten, or 1 < |a| < 10. For the scientific notation to be mathematically equivalent to the original value, b must be a power of 10.

The Force of a particle is given as:

F = ma, where m is the mass and a is the acceleration.

Now, the mass of a grain of rice is 2.4 × 10⁻⁵ kg.

The acceleration due to gravity is 9.8 m/s².

Therefore, the force on the grain of rice is :

F = ma

F = 2.4 × 10⁻⁵ kg × 9.8 m/s²

F = 23.52 × 10⁻⁵ newtons

Learn more about force here:

https://brainly.com/question/12970081

#SPJ9

The equilibrium point for James T-shirt business is (P, Q) = (7, 24).

To find the equilibrium point (P, Q) for James T-shirt business

we need to set the demand function equal to the supply function and solve for the values of P and Q.

Demand function: P = -Q + 31

Supply function: P = Q - 17

Setting them equal:

-Q + 31 = Q - 17

Adding Q to both sides and subtracting 31 from both sides:

2Q = 48

Dividing both sides by 2:

Q = 24

Now, we can substitute this value of Q into either the demand or supply function to find the corresponding value of P.

P = Q - 17

P = 24 - 17

P = 7

Therefore, the equilibrium point for James T-shirt business is (P, Q) = (7, 24).

To learn more on Functions click:

https://brainly.com/question/30721594

#SPJ1