Mia bought 10 1/9 lb of flour. She used 2 3/4 lb of flour to bake a banana cake and some to bake a chocolate cake. After baking two cakes, she had 3 5/6 lb of flour left. How much flour did she use to bake the chocolate cake?

The probability that the hacker guesses the password on his first try is 0

The password is given as:

Password = 6 digit long

The usable numbers are:

Digits = 0 to 8 i.e. 9 digits

If the digits can be repeated, then the number of passwords is:

Password = 9^6

Evaluate the exponent

Password = 531441

The probability that the hacker guesses the password on his first try is

P = 1/531441

Evaluate

P = 0.00000188167

Approximate

P = 0.0000

Hence, the probability that the hacker guesses the password on his first try is 0

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The probability of guessing the password on the first try is 0.000001881.

To calculate the probability of guessing the password on the first try, we need to determine the number of possible passwords and divide it by the total number of possible guesses. In this case, the password is 6 digits long and each digit can be a number between 0 and 8.

So, there are 9 possible digits for each of the 6 positions, giving us a total of 9^6 = 531441 possible passwords.

The hacker makes random guesses, so there are 9^6 = 531441 possible guesses they can make.

The probability of guessing the password on the first try is therefore 1/531441 = 0.000001881, rounded to four decimal places.

Answer:

6.25

Step-by-step explanation:

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Answer:

A,B,E

Step-by-step explanation:

HAVE A GOOD DAY

The required expressions that represent the given conditions are x = 1/2y - 3 or 2x - y = -6 and y = 10[x - 1]. Options A, B, and E are correct.

Given that,
A smaller number is 3 less than half a larger number. The larger number is 10 times 1 less than the smaller number. Let x represent the smaller number, and let y represent the larger number.

The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.

Here,
According to the question,
A smaller number is 3 less than half a larger number.
x = 1/2y - 3
or
2x -y = -6

The larger number is 10 times 1 less than the smaller number.
y = 10[x - 1]

Thus, the required expressions that represent the given conditions are x = 1/2y - 3 or 2x - y = -6 and y = 10[x - 1]. Options A, B, and E are correct.

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The probability of drawing a red, blue, and a candy that is not yellow from the bag is 1/3, 4/9, and 7/9 respectively.

The question involves the concept of probability in mathematics, with a scenario of drawing candies from a bag. The total number of candies in the bag is 45 (15 red + 20 blue + 10 yellow).

The probability of drawing a red candy is the number of red candies divided by the total number of candies, which is 15/45 or 1/3.

The probability of drawing a blue candy is the number of blue candies divided by the total number of candies, which is 20/45 or 4/9.

If we want to find the probability of drawing something other than a yellow candy, this is essentially the sum of the probabilities of drawing a red or blue candy. This is 35 out of 45 (15 red candies + 20 blue candies), which reduces to 7/9.

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Answer:

The height of the liquid in the new cylinder = 4 cm

Step-by-step explanation:

∵ The volume of the liquid = 36π cm³

∵ It poured into a cylinder that has radius 3 cm

∵ The volume of any cylinder = πr²h

∴ The volume of the liquid in the cylinder = π(3)²h = 9πh

- Where h is the height of the liquid inside the cylinder

∴ 9πh = 36π ⇒ divide both sides by π

∴ 9h = 36 ⇒ h = 36/9

∴ h = 4 cm

∴ The height of the liquid in the new cylinder = 4 cm

The height of the liquid in the new cylinder will be 4 cm. The term height is frequently used to describe someone's or something's height.

Height is defined as the vertical distance between an object's top and bottom. It is measured in centimeters, millimeters, meters, and other units.

From the given conditions;

The volume of the liquid is, [tex]\rm V_L=36 \pi \ cm^3[/tex]

The radius of the cylinder is,[tex]\rm r=3 cm[/tex]

The volume of the cylinder is found as;

[tex]\rm V= \pi r^2 h \\\\ \rm V= \pi (3)^2 h \\\\ \rm V=9\pi h[/tex]

The height of the liquid is in the new cylinder is found as;

The volume of cylinder = Volume of liquid

[tex]\rm 9 \pi h= 36 \pi \\\\ \rm h=\frac{36}{9} \\\\ h= 4 \ cm[/tex]

Hence the height of the liquid in the new cylinder will be 4 cm.

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Answer:

polynomial x³ -6x² +8x .

Step-by-step explanation:

Given  :  polynomial function in standard form with zeros at 0, 2, and 4.

To find : Which of the following is a polynomial function.

Solution : we have given that

zeros at 0, 2, and 4.

x = 0 .

x = 2

x = 4

(x -0)(x -2) (x -4).

x (x-2)(x-4).

x( x² -4x -2x +8).

x (x² -6x +8).

x³ -6x² +8x .

Therefore, polynomial x³ -6x² +8x .

To solve the system of inequalities, we find the values of x that satisfy both conditions: x > 3 and x < -1.

To solve this problem, we need to find the values of x that satisfy the given inequalities:

4x+2 > 14

-21x+1 > 22

For the first inequality, subtracting 2 from both sides gives us:

4x > 12

Dividing both sides by 4, we get:

x > 3

For the second inequality, subtracting 1 from both sides gives us:

-21x > 21

Dividing both sides by -21 (and flipping the inequality sign), we get:

x < -1

Therefore, the values of x that satisfy both inequalities are:

x > 3 and x < -1

The range of sales that will earn at least $40 and at most $50 is represented by the inequalities x >= 40 and x <= 50. Hence, the range of possible sales is x such that 40 <= x <= 50.

The subject of this question is inequalities and the concept of a range of numbers in mathematics. Here, we're looking at a range of sales values that will result in the organizer earning between $40 and $50.

The two inequalities that represent this scenario are: x >= 40 and x <= 50.

To find the range of sales, we look at the values that satisfy both conditions. Therefore, the range of sales is all the sales amounts (x) such that: 40 <= x <= 50. This means that any amount of sales that is greater than or equal to $40 and less than or equal to $50 will meet the criteria.

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Answer:

Te correct option B.

Step-by-step explanation:

The surface area of a cone is

[tex]A=\pi r(r+l)[/tex]

Where, r is the radius and l is slant height.

From the given figure it is noticed that the radius of the cone is 6 and slant height is 15.

The surface area of cone is

[tex]A=\pi \times 6\times (6+15)[/tex]

[tex]A=\pi \times 6\times 21[/tex]

[tex]A=126\pi[/tex]

The area of the cone is 126π units². Therefore option B is correct.

70%  part of the pizzas they ate.

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.

Given, Peyton has 2 pizzas. Each pizza is cut into 10 equal slices.

Thus, total slices of pizza = 10 *2

total slices of pizza = 20

Since, She and her friends eat 14 slices.

Thus,

Percentage of pizza they eat = 14/20*100

Percentage of pizza they eat = 14*5

Percentage of pizza they eat = 70%

Therefore, Alex and her friends Eat 70% of the pizza.

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Answer:

The orientation of the figure has been changed by 90°, but the points are not all rotated around the same center. Translation is involved.

Translation before rotation:

.. translate down 5 units

.. rotate counterclockwise 90° about the origin

Translation after rotation:

.. rotate counterclockwise 90° about the origin

.. translate right 5 units

This can also be accomplished by a double reflection.

.. reflect across the line y=x

.. reflect across the line x=2.5

Or,

.. reflect across the line y=2.5

.. reflect across the line y=x

Step-by-step explanation:

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Answer:

Equation of the circle is

[tex](x-4)^2+y^2=12[/tex]

Step-by-step explanation:

We have been given that

center of the circle = (4,0)

Radius of the circle = [tex]2\sqrt3[/tex]

The standard form of a circle is given by

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Here, (h,k) is the center and r is the radius. Thus, we have

h = 4, k = 0, r = 2√(3)

Substituting these values in the above equation, we get

[tex](x-4)^2+(y-0)^2=(2\sqrt3)^2[/tex]

Simplifying, we get

[tex](x-4)^2+y^2=12[/tex]

Therefore, equation of the circle is

[tex](x-4)^2+y^2=12[/tex]