Which expression represents the probability of rolling a 5 exactly three times in ten rolls of a number cube with six sides?
The probability of rolling a 5 exactly three times in ten rolls of a number cube with six sides is 0.034.
What is the probability?
Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty.
The probability of rolling a 5 exactly three times in ten rolls of a number cube with six sides is determined in the following steps given below.
[tex]\rm Probability=\dfrac{10}{3}\times \left (\dfrac{1}{3} \right ) ^3\times \left (\dfrac{5}{6} \right ) ^7\\\\Probability= \dfrac{10}{3}\times \dfrac{1}{27} \times \dfrac{78125}{279936}\\\\Probability=0.034[/tex]
Hence, the probability of rolling a 5 exactly three times in ten rolls of a number cube with six sides is 0.034.
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if the federal reserve decreases the reserve rate from 5% to 2.5% how does this affect the amount of money that would result because of fractional reserve banking from an initial deposit into a bank of $35000
It increases the amount by 700,000
The temperature in degrees Celsius, c, can be converted to degrees Fahrenheit, f, using the equation mc026-1.jpg. Which statement best describes the relation (c, f)? It is a function because –40°C is paired with –40°F. It is a function because every Celsius temperature is associated with only one Fahrenheit temperature. It is not a function because 0°C is not paired with 0°F. It is not a function because some Celsius temperatures cannot be associated with a Fahrenheit temperature.
Answer:
B
Step-by-step explanation:
edge
which answer describes the polynomial?
3x^3 + 4x^2 - 7
A) Quartic Trinomial
B) Cubic Trinomial
C) Quadratic Trinomial
D) Cubic Binomial
what is the decimal equivalent to 15 1/4
The equivalent decimal number will be 15.25.
What is Decimal number?
A decimal number is a number that consists of a whole and a fractional part.
Given that;
The number is,
⇒ 15 1/4
⇒ 61 / 4
Now,
Solve the number in decimal form as;
The number is,
⇒ 15 1/4
⇒ 61 / 4
⇒ 61 ÷ 4
After divide we get;
⇒ 61 ÷ 4 = 15.25
Thus, The equivalent decimal number will be 15.25.
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Unless otherwise indicated, a line in geometry is understood to be _____. straight curved either
All scatter plots show either a positive or a negative trend.
True
False
What is the graph of the equation 4x – 5y = 15?
Which phrase matches the algebraic expression below? (1 point)
2(x − 7) + 10
Two times the sum of x and seven plus ten
Two times the difference of x and seven plus ten
Two times x minus seven plus ten
Two times x minus the sum of seven and ten
Answer:
Two times the difference of x and seven plus ten
Step-by-step explanation:
Cameron estimates that the math class will sell 200 calendars. what will the total cost be'
Find the sum and express it in scientific notation. 0.00348 + (6.2 x 10^-2) A) 2.176 x 10^-4 B) 6.2348 x 10^-2 C) 6.2348 x 10^-1 D) 6.548 x 10^-2
23 POINTS PLZ HELP
The sum of the expression in scientific notation is given by option D) 6.548 × 10⁻².
Given expression is,
0.00348 + (6.2 x 10⁻²)
We have to first find the sum.
For that, rewrite the number in the scientific form in the normal form.
Since the exponent of 10 is -2, the decimal point is shifted 2 units to the left.
6.2 x 10⁻² = 0.062
0.00348 + (6.2 x 10⁻²) = 0.00348 + (0.062)
= 0.06548
Now, we have to write this in scientific notation as the power of 10.
After shifting the decimal point to the right up to 2 units, 0.06548 becomes = 6.548.
So, 0.06548 = 6.548 × 10⁻²
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Describe how to graph the solution of
y ≤ −x2 + 2x.
We are given a inequality as:
[tex]y\leq -x^2+2x[/tex]
We know that the graph of this inequality will be a solid parabola ( since the inequality is with equality sign) .The parabola will be downward parabola ( Since for any general equation of parabola as y=ax^2+bx+c if a<0 then the parabola is downward and if a>0 then the parabola is upward)Also the roots of the parabola are the points where y=0.( The roots are: -x(x-2)=0
x=0 and x=2 are the roots of the parabola)
Also the region inside the parabola is shaded.(This could be checked by taking different points)
To graph the solution of y ≤ -x² + 2x, follow these steps: graph the equation y = -x² + 2x, determine the boundary line, and shade the appropriate region based on a test point.
Explanation:To graph the solution of the inequality y ≤ -x² + 2x, we can follow these steps:
Start by graphing the equation y = -x² + 2x as a parabola.Next, determine the boundary line which separates the region where y is less than or equal to the parabola from the region where y is greater than the parabola. In this case, the boundary line is the actual graph of the equation y = -x² + 2x.Then, choose a test point that is not on the boundary line and substitute its coordinates into the inequality to check if it is true. If it is true, shade the region that includes the test point. If it is false, shade the other region.By following these steps, you will be able to graph the solution of the inequality y ≤ -x² + 2x.
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If angle A and angle B are complementary then the measure of angle A is 45, find a counterexample
The measure of a angle B is 45°.
Given that, angle A and angle B are complementary and ∠A=45°.
What are complementary angles?In geometry, complementary angles are defined as two angles whose sum is 90 degrees.
Now, ∠A + ∠B = 90°
⇒ 45° + ∠B = 90°
⇒ ∠B = 45°
Counter example: If angle A is 90°, then the angle A and angle B are not complementary angles.
Therefore, the measure of a angle B is 45°.
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Ms. Rao buys a computer, a printer, and a scanner for $2,543. The computer costs $1,502 more than the printer. The printer costs $123 more than the scanner. How much does Ms. Rao pay for the computer?
How did you get the answer? I got the answer of $1808. Please explain...
What is the remainder when 314^162 is divided by 7?
Final answer:
To find the remainder of 314162 divided by 7, we use modular arithmetic and find that the powers of 314 mod 7 repeat every 3 powers. Since 162 is a multiple of 3, 314162 mod 7 equals 1.
Explanation:
The question asks for the remainder when 314162 is divided by 7. To solve this problem, we can use a concept known as modular arithmetic, which deals with the remainder upon division. The key here is to find a pattern in the powers of 314 modulo 7, because large numbers can be cumbersome to work with directly. A helpful property is that (a×b) mod n = [(a mod n)×(b mod n)] mod n.
Let's consider the powers of 314 mod 7:
3141 mod 7 = 2
3142 mod 7 = (314 × 314) mod 7 = (2 × 2) mod 7 = 4
3143 mod 7 = (3142 × 314) mod 7 = (4 × 2) mod 7 = 1
Since we reached 1 again, the sequence will repeat every 3 powers. Now, 162 is divisible by 3 (162 = 3 × 54). Therefore, we can conclude that 314162 mod 7 will have the same remainder as 3143 mod 7, which is 1.
M(1,7) is the midpoint of PQ. The coordinates of point P are (-8,3)
What are the coordinates of point Q
Please only answer if you have the answer.
To find the coordinates of point Q when M(1,7) is the midpoint of PQ, and P(-8,3), we use the midpoint formula to get Q's coordinates as (10, 11).
Explanation:The question asks for the coordinates of point Q given that M(1,7) is the midpoint of PQ and the coordinates of point P are (-8,3). To find the coordinates of Q, we can use the midpoint formula which is (x1 + x2)/2, (y1 + y2)/2 where (x1, y1) are the coordinates of P and (x2, y2) are the coordinates of Q. Since M is the midpoint, its coordinates (1,7) equal these averages.
For x: (-8 + x2)/2 = 1For y: (3 + y2)/2 = 7Solving these equations for x2 and y2, we find the coordinates of Q to be (10, 11).
The base angle of an isosceles triangle measures 54°. What is the measure of its vertex angle?
27°
36°
54°
72°
The measure of the vertex angle is 72 degrees
Isosceles triangleThe sum of the interior angle of a triangle is 180 degrees. Of the base angles are equal hence;
54 + 54 + x = 180
where
x is the vertex angles
Simplify
108 + x = 180
x = 180 - 108
x = 72 degrees
Hence the measure of the vertex angle is 72 degrees
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What the opposite of 30 degrees North latitude
A bakery packages 868 cupcakes into 31 boxes. The same number of cupcakes are pput into each box. How many cupcakes are in each box?
A pattern for 1 1 uniform uses 12 12 yards of material. Boleslaw wants to know how many yards are needed for 8 8 uniforms. Chantal wants to know how many yards she will need to make 15 15 uniforms.
To find the amount of material needed for a certain number of uniforms, we can use a proportion and multiply the amount of material needed for 1 uniform by the desired number of uniforms.
Explanation:To find out how many yards are needed for 8 uniforms, we can set up a proportional relationship between the number of uniforms and the amount of material needed. We can do this by dividing the amount of material needed for 1 uniform by the number of uniforms, and then multiplying by the desired number of uniforms. The formula for this is (Amount of material needed for 1 uniform / Number of uniforms) * Desired number of uniforms. Using this formula, we can determine that 8 uniforms would require (12 yards / 1 uniform) * 8 uniforms = 96 yards of material.
To find out how many yards are needed for 15 uniforms, we can use the same formula. (12 yards / 1 uniform) * 15 uniforms = 180 yards of material.
Therefore, 8 uniforms require 96 yards of material, and 15 uniforms require 180 yards of material.
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A candy bar has 12 grams of fat. The company producing the candy bar also sells a reduced-fat version that has 25% less fat. How many grams of fat are in the reduced-fat candy bar? Do not include units in your answers
Answer:
it's 9 grams for apex
if x-2m=p make m the subject. answer must be written as fraction.
To make m the subject of the equation x-2m=p, add 2m to both sides, subtract p, and divide by 2. The result is m as the subject of the equation, represented as the fraction (x - p)/2.
Explanation:To solve the equation x-2m=p for m as the subject, we want to isolate m on one side of the equation. Here is the step-by-step process:
Start with the original equation: x - 2m = p.Add 2m to both sides to get x = p + 2m.Subtract p from both sides to get x - p = 2m.Divide both sides by 2 to isolate m: m = (x - p)/2.Now m is the subject of the equation, and it is represented as a fraction as requested.
the sum of two numbers is 8, and the sum of their squares is 34. what is the smaller number?
5 +3 = 8
3^2 = 9
5^2 = 25
25 +9 = 34
smaller number is 3
What is the quotient when (x+3) is divided into the polynomial 2x2+3x-9
A quotient is a quantity that is obtained by dividing two integers. The quotient of the division (2x²+3x-9) ÷ (x+3) is (2x - 3).
What is a quotient?A quotient is a quantity that is obtained by dividing two integers. The quotient is a term that is widely used in mathematics to refer to the integer component of a division, as well as a fraction or a ratio.
The quotient of the division (2x²+3x-9) ÷ (x+3) can be found as shown below,
[tex]\dfrac{2x^2+3x-9}{(x+3)}\\\\=\dfrac{2x^2+6x - 3x -9}{(x+3)}\\\\=\dfrac{2x(x+3)-3(x+3)}{(x+3)}\\\\=\dfrac{(2x-3)(x+3)}{(x+3)}\\\\[/tex]
= (2x - 3)
Hence, The quotient of the division (2x²+3x-9) ÷ (x+3) is (2x - 3).
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A line passes through the origin and has a slope of 4. What is the equation of the line that is parallel to the first line and passes through the point (1, –2)? A. y = 4x + 9 B. y = –4x + 2 C. y = 4x – 6 D. 2003-10-03-00-00_files/i0160000.jpg
Option C is correct, y=4x-6 is the equation of the line that is parallel to the first line and passes through the point (1, –2)
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
A line passes through the origin and has a slope of 4
y=4x is the equation of the line.
We have to find the equation of the line that is parallel to the first line and passes through the point (1, –2)
Slope is 4 as it is parallel.
We have to find the y intercept
-2=4(1)+b
b=-6
So equation is y=4x-6
Hence, Option C is correct, y=4x-6 is the equation of the line that is parallel to the first line and passes through the point (1, –2)
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a bag contains 42 cups of dog food. your dog eats 2 1 3 cups of dog food each day how many days does the bag of dog food last
divide 42 by 2 1/3
2 1/3 = 7/3
42 / 7/3 =
42 * 3/7 =
126/7 = 18
it will last 18 days
The number of days it will take the dog to consume the 42 cup of food will be 18 days.
Total cups of dog food = 42 cups Amount of cups consumed per day = [tex] 2 \frac{1}{3} \: cups [/tex]To obtain the number of days it will take to consume the entire food :
Divide the total amount of food by the amount consumed per dayHence,
(42 ÷ (7/3))
Take the reciprocal of 7/3 and change the operation sign to multiplication
42 × 3/7 = (42 × 3) / 7 = 126 / 7 = 18 days
Therefore, it will take the dog 18 days to finish up the 42 cups of food.
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Sine: the trigonometric function that is equal to the ratio of the side opposite a given angle (in a right triangle) to the hypotenuse.
What is the Sine of angle A?
3/4
4/3
3/5
4/5
Need help on answer I’m not so sure what to do
Tom has been given 35 chores to complete today. This morning he finished 7 of them. How many chores does he now have left to do?
28 chores he now has left to do.
What is subtraction?An arithmetic intelligence operation minus simulates the process of deleting items from either a collection. To subtract is to take something or something from a particular group. The group's total number of items decreased and became lower when people eliminated it. The components of a subtraction issue are the issues dealing with, forces at play, and differences. The negative symbol, or, denotes subtraction.
35 tasks have been assigned to Tom for today.
He accomplished 7 of them this morning.
The remaining days are:
= 35-7
= 28 chores
The remaing chores are 28.
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A man’s age is two years more than four times his son’s age. His son is now 8. How old is the man?