A​ 12-sided die is rolled. The set of equally likely outcomes is {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}. Find the probability of rolling a 9.

Answer:

-1/2

Step-by-step explanation:

The first thing you do is cross cancel because when you cross cancel 4 and 16 it would be  -1/5 * 10/4 then you cross cancel 5 and 10 and then you faction would look like  -1/1 * 2/4 then you multiply those fractions together and get -2/4 but simplified would be -1/2.

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Hope it will help u..

0.4(5x-12)+0.5x=15.2

We move all terms to the left:

0.4(5x-12)+0.5x-(15.2)=0

We add all the numbers together, and all the variables

0.5x+0.4(5x-12)-15.2=0

We multiply parentheses

0.5x+2x-4.8-15.2=0

We add all the numbers together, and all the variables

2.5x-20=0

We move all terms containing x to the left, all other terms to the right

2.5x=20

x=20/2.5

x=8

Answer:

X=16

Y=5

Step-by-step explanation:

For equilateral triangle, length of both sides are equal hence 18y-41=3x+1=49

Solving for x

Given that 3x+1=49

Rearranging like terms

3x=49-1=48

x=48/3=16 units

Solving for y

Considering that 18y-41=49

18y=49+41=90

y=90/18=5 units

The value of x = 16 and y = 5.

Given that [tex]\( \triangle ABC \)[/tex] is an equilateral triangle, all sides are equal. Therefore, we have:

[tex]\[ AB = BC = AC \][/tex]

Given the side lengths:

[tex]\( AB = 49 \)[/tex] meters

[tex]\( BC = 3x + 1 \)[/tex] meters

[tex]\( AC = 18y - 41 \)[/tex] meters

Since [tex]\( AB = BC \)[/tex]:

[tex]\[ 49 = 3x + 1 \][/tex]

Solve for [tex]\( x \)[/tex]:

[tex]\[ 49 - 1 = 3x \][/tex]

[tex]\[ 48 = 3x \][/tex]

[tex]\[ x = \frac{48}{3} \][/tex]

[tex]\[ x = 16 \][/tex]

Next, since [tex]\( AB = AC \)[/tex]:

[tex]\[ 49 = 18y - 41 \][/tex]

Solve for [tex]\( y \)[/tex]:

[tex]\[ 49 + 41 = 18y \][/tex]

[tex]\[ 90 = 18y \][/tex]

[tex]\[ y = \frac{90}{18} \][/tex]

[tex]\[ y = 5 \][/tex]

The complete question is:

If ABC Is an equilateral triangle, solve for both x and y.

x = _____.

y = _____.

Answer:

54.74 ounces of tomatoes mark need.

Step-by-step explanation:

Given : Mark has three [tex]4\frac{1}{2}[/tex] oz cans and five [tex]8\frac{1}{4}[/tex] oz cans.

To find : How many ounces of tomatoes does Mark need?​

Solution :

Mark has three [tex]4\frac{1}{2}[/tex] oz cans.

i.e. [tex]3\times 4\frac{1}{2}=3\times \frac{9}{2}=\frac{27}{2}[/tex]

Mark has five [tex]8\frac{1}{4}[/tex] oz cans.

i.e. [tex]5\times 8\frac{1}{4}=5\times \frac{33}{4}=\frac{165}{4}[/tex]

Total ounces of tomatoes does Mark need is

[tex]T=\frac{27}{2}+\frac{165}{4}[/tex]

[tex]T=\frac{54+165}{4}[/tex]

[tex]T=\frac{219}{4}[/tex]

[tex]T=54.75[/tex]

Therefore, 54.74 ounces of tomatoes mark need.

Answer: P(t) = 5000(1.02)^5

Step-by-step explanation:

In the equation √64 - 3 = 4, we first take the square root of 64 to get 8, then subtract 3 to get 5, NOT 4. Thus, the given equation is not accurate.

The model to represent the mathematical expression √64 - 3 = 4 is firstly taking the square root of 64 which gives 8, and then subtracting 3 from it to get 4. The complete equation is as follows:

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Answer:

6 hours

Step-by-step explanation:

2 option for letter

10 for each digit

2×10×10×10

2000 trials

2000×10

20,000 seconds

20000/3600

5.5555555556 hours

The total number of combinations is 2000. Testing each one at a rate of 10 seconds per test would take approximately 20,000 seconds, which is around 6 hours when rounded to the nearest hour.

This problem deals with the concept of combinations in mathematics. To find out how long it would take to try all possible combinations, you first need to determine how many combinations there are. The door code consists of either A or B (2 options) followed by a three-digit code (10 options for each digit, from 0-9). Therefore, there are 2 * 10 * 10 * 10 = 2000 possible combinations. If each combination takes 10 seconds to try, it would take 2000 * 10 = 20,000 seconds. To convert this to hours, divide by 3600 (as there are 3600 seconds in one hour), rounding to the nearest whole number, would give approximately 6 hours.

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Answer:

7 units

Step-by-step explanation:

use the distnce formula to get the riangles legs, multiply them and divide by two

Answer: The center is 0,4

Step-by-step explanation:

Use this form to determine the center and radius of the circle:

(

x-h)^2+(y-k)^2=r^2

Match the values in this circle to those of the standard form. The variable  r  represents the radius of the circle,  h  represents the x-offset from the origin, and  k  represents the y-offset from origin:

r=8

h=0

k=4

The center of the cirle is found at (h,k): (0,4)

The radius is 8

Answer:

C.

Step-by-step explanation:

[tex]116.5^{3}[/tex]

The approximate total volume of the silo is 116.9 m^3, the correct option is C. 116.5 m^3.

Suppose that the radius of considered right circular cylinder be 'r' units.

And let its height be 'h' units.

Then, its volume is given as:

[tex]V = \pi r^2 h \: \rm unit^3[/tex]

Right circular cylinder is the cylinder in which the line joining center of top circle of the cylinder to the center of the base circle of the cylinder is perpendicular to the surface of its base, and to the top.

We are given that;

Diameter=4.4m

Height=6.2meter

Now,

The radius of the silo is half of its diameter, which is 4.4/2 = 2.2 meters. So, plugging in the given values and using 3.14 for π, we get:

V = πr^2h + (2/3)πr^3

V = 3.14(2.2^2)(6.2) + (2/3)3.14(2.2^3)

V = 94.25 + 22.64

V = 116.89

Therefore, the volume of silo will be 116.5 m^3.

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Answer:

- 30.75 < x < - 29.25

Step-by-step explanation:

Inequalities of the type | x | < a , always have solutions of the form

- a < x < a

Given

| 0.2x + 6 | < 0.15, then

- 0.15 < 0.2x + 6 < 0.15 ( subtract 6 from all 3 intervals )

- 6.15 < 0.2x < - 5.85 ( divide all intervals by 0.2 )

- 30.75 < x < - 29.25

To solve the inequality |0.2x+6| < 0.15, we split it into two separate inequalities and find that the solution for x is -30.75 < x < -29.25.

To solve the inequality |0.2x+6| < 0.15, we first consider the absolute value function. This means we are looking for values of x that make 0.2x + 6 less than 0.15 and greater than -0.15. We split this into two separate inequalities:

Solving the first inequality for x:

0.2x < 0.15 - 6
0.2x < -5.85
x < -5.85 / 0.2
x < -29.25

Solving the second inequality for x:

0.2x > -0.15 - 6
0.2x > -6.15
x > -6.15 / 0.2
x > -30.75

Therefore, combining the two inequalities, we find the solution for x is:

-30.75 < x < -29.25.

Answer:

The height of the cup is 0.51 in.

The height of the cup is 4.59 in.

Step-by-step explanation:

The volume of the cylinder is [tex]\pi r^2 h[/tex]

Given that,

The volume of the cup is 14.4375 in³.

If the measuring cup has a radius of 3 in.

Then,

[tex]\pi r^2h=14.4375[/tex]

Plug r= 3 in.

[tex]\pi (3)^2h=14.4375[/tex]

[tex]\Rightarrow h=\frac{14.475}{9\pi }[/tex]

⇒h=0.51 in.

The height of the cup is 0.51 in.

If it has radius of 1 in.

Then,

[tex]\pi r^2h=14.4375[/tex]

Plug r= 1 in.

[tex]\pi (1)^2h=14.4375[/tex]

[tex]\Rightarrow h=\frac{14.475}{1\pi }[/tex]

⇒h=4.59 in.

The height of the cup is 4.59 in.

The equation representing 'twenty less than the product of 3 and a number is -29' is 3n - 20 = -29. Solving for n, we find that n equals -3.

When solving the equation twenty less than the product of 3 and a number is -29, we can translate this into a mathematical expression as 3n - 20 = -29, where n represents the unknown number. To find the value of n, add 20 to both sides of the equation, which gives us 3n = -9. Dividing both sides by 3, we find that n = -3. Thus, the number we are looking for is -3.

Answer:

Money earned after 30 days is $509455

Step-by-step explanation:

If on the first day, that is n = 1, where n is the day and you earn $1.

On the second day (n = 2), you earn $4, On the third day (i.e n = 3) you earn $9 and on the fourth day (n = 4) you then earn $16. That is the money earned on the nth day is given by:

Money earned on the nth day = n².

That is on the 30th day, the money earned = 30² = $900

Once you’ve completed the 30 days you receive a completion bonus of $500,000, in given by:

Money earned after 30 days = [tex]\Sigma}n^2 ;n=1 to30+$500000=(1^2+2^2+3^2+4^2+5^2+...+29^2+30^2)+500000\\=9455+500000=509455[/tex]

Money earned after 30 days = $509455

Answer:

y = x^2 = 30^2 = $900

He would earn $900 on the 30th day and the bonus of $500,000

Step-by-step explanation:

Given

let y represent the amount earned

x represent the day.

At x = 1 y = 1

x = 2 y = 4

x= 3 y = 9

x = 4 y = 16

This satisfies the function;

y = x^2

So, on the 30th day;

x = 30

y = x^2 = 30^2 = $900

He would earn $900 on the 30th day and the bonus of $500,000

Answer: 25%

Step-by-step explanation:

Bc I’m smort boi

A randomly chosen quadrilateral has four right angles, has a probability that the quadrilateral also has four equal side lengths is 33%.

Probability is a measure of the likelihood of an event to occur.

Many events cannot be predicted with total certainty.

We can predict only the chance of an event to occur i.e. how likely they are to happen, using it.

Given is a Venn diagram,

In the Venn diagram, we can see that we have 9 elements, 6 of these belong to the set R, 3 of them belong to the set E, and 2 belong to both sets.

Now we want to find the probability that, if a figure has four right angles (belongs to R) it also has 4 equal side lengths (belongs to E).

So, given that an element belongs to R (6 elements there).

The probability that it also belongs to E,

2 out of these 6 elements belong to E, so the probability will be:

P = 2/6 = 1/3 = 0.33

To get this in percent form, we need to multiply it by 100%, we will get:

0.33x100% = 33%

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Answer: Elizabeth and Manuel have a distance of 4 meters between them.

Step-by-step explanation: Please refer to the picture attached.

From the information given, Elizabeth is directly behind Hannah and directly left of Manuel. That means we have three points which are HEM, that is, we now have triangle HEM. The longest side (hypotenuse) which is the distance between Hannah and Manuel is given as 5 meters while the other side the distance between Hannah and Elizabeth is given as 3 meters.

We shall apply the pythagoras theorem in solving for the unknown side, EM.

The Pythagoras theorem states thus;

AC² = AB² + BC²

Where AC is the hypotenuse, and AB and BC are the other two sides.

Substituting for the known values, we now have;

5² = 3² + EM²

25 = 9 + EM²

Subtract 9 from both sides of the equation

16 = EM²

Add the square root sign to both sides of the equation

√16 = √EM²

4 = EM

Therefore the distance between Elizabeth and Manuel is 4 meters

Final answer:

To calculate the distance between Elizabeth and Manuel, the Pythagorean theorem is used. Given the 3-meter distance between Hannah and Elizabeth, and the 5-meter distance between Hannah and Manuel, the distance between Elizabeth and Manuel is calculated to be the square root of 34, which is approximately 5.83 meters.

Explanation:

The question pertains to finding the distance between Elizabeth and Manuel, given their respective positions on a stage in relation to Hannah.

To find the distance between Elizabeth and Manuel, we can use the Pythagorean theorem, which states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. Here, the distances between Hannah and the other two dancers form two sides of a right-angled triangle with Elizabeth and Manuel's positions marking the ends of the hypotenuse.

Since Hannah is 3 meters from Elizabeth and 5 meters from Manuel, we can calculate the distance between Elizabeth and Manuel (hypotenuse) with the following equation:
c^2 = a^2 + b^2

Where c is the distance between Elizabeth and Manuel, a is the distance between Hannah and Elizabeth (3 meters), and b is the distance between Hannah and Manuel (5 meters).

So, c^2 = 3^2 + 5^2 which simplifies to c^2 = 9 + 25, and further to c^2 = 34. This implies that c = [tex]\sqrt{34}[/tex].

Therefore, the distance between Elizabeth and Manuel is the square root of 34, which is approximately 5.83 meters. We can round this to the nearest hundredth for a precise measurement.

The distance between Elizabeth and Manuel is approximately 5.83 meters.

Answer:

Yes,Axis of Symmetry of a Parabola.The axis of symmetry always passes through the vertex of the parabola . The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola. For a quadratic function in standard form, y=ax2+bx+c , the axis of symmetry is a vertical line x=−b2a.

Step-by-step explanation:

Answer:yes

Step-by-step explanation:

Answer:

5*8+14=54

Step-by-step explanation:

5*x+14= 54

so

54-14= 40

40/5=8

so x=8

Answer:

23

Step-by-step explanation:

find 10 percent and times the rest

Answer:

  98,790

Step-by-step explanation:

The given relation is ...

  0.248 · (total employees) = 24,500

Dividing by the coefficient of the variable, we have ...

  (total employees) = 24,500/0.248 = 98,790

The company has 98,790 employees in total.

Answer:

it would be A and C because they are the lowest

Step-by-step explanation:

The correct option is C

Percentage point : It is defined as a unit for the arithmetic difference of two percentages and greater the difference more will be the error range.

So, the most reliable error range is the one whose percentage point is minimum.

Now, among the provided options , 2 percentage points is minimum so it will be the most reliable error range.

Hence, Option C. 2 percentage points is correct

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Answer:

It is 2 above the mean

9514 1404 393

Answer:

  A.  It is 8 below the mean

Step-by-step explanation:

The sum of differences from the mean is always zero. If x is the difference from the mean that the fourth data value has, then we must have ...

  3 + 4 + 1 + x = 0

  x = -8 . . . . . . . . . subtract 8

The fourth data value must be 8 below the mean.

_____

Additional comment

I find this property of the mean to be very useful in solving any number of problems related to differences from an actual or a desired mean.

Answer: f(x) = 3/2 (8/7)-x

Step-by-step explanation:

Answer:

the answer is A≈9160.88

Step-by-step explanation:

Answer:

The correct answer is A on Edge 2020.

Step-by-step explanation:

A sphere has 2/3 the volume of a cylinder given that the radius and height are equal. Because the volume of the cylinder is 27 pi (on Edge 2020), you need the equation: 2/3(27 pi) or A.

Answer:

4*100+.9*0.1+.002*.001

Step-by-step explanation:

The student's question is unclear and lacks clarity. It is recommended that they provide more information or context so that an accurate explanation can be given.

The question seems to be unclear. As a tutor, I would ask the student to clarify their question more specifically. The number '400.902' is indeed an expression, however, it's not clear what it's supposed to be equivalent to. Understanding the context can help provide a more accurate answer, as '400.902' could represent a multitude of things, such as a decimal, a fraction, a percentage or even part of a scientific notation. Without this information, I can't provide a reliable explanation or comparison.

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Answer:

56 [tex]in^{3}[/tex]

Step-by-step explanation:

Volume of bigger rectangular prism is 4*3*4 (48[tex]in^{3}[/tex]).

Volume of smaller rectangular prism is 1*2*4 (8[tex]in^{3}[/tex]).

48 + 8 = 56[tex]in^{3}[/tex].

Answer: 30%

Step-by-step explanation:

Subtract the original cost from the on sale price.

21.50 - 15.05 = 6.45

Divide the savings by the original cost.

6.45/21.50 = .3

Multiply by 100

.3 * 100 = 30

Answer:

30% percent

Step-by-step explanation:

21.50-15.05=6.45

21.50÷6.45=3.

3×100=30%

we times 100 because 1 equal 100%.So you need to do is just to multiply the number by 100 and add at the end symbol %

Answer:

It falls between √7 and √8

Step-by-step explanation:

Please kindly check the attached file for explanation.

Answer:

37.68in

Step-by-step explanation:

circumference = 2πr

r= radius = diameter/2 = 12/2 =6 in

C= 2πr = 2 x 3.14 x 6= 37.68in