The experimental probability of drawing a heart is 0.35
Determining the experimental probability of drawing a heart.From the question, we have the following parameters that can be used in our computation:
Outcome Frequency
Heart 7
Spade 3
Club 6
Diamond 4
This means that
P(Heart) = Heart/Total
So, we have
P(Heart) = 7/(7 + 3 + 6 + 4)
Evaluate
P(Heart) = 0.35
Hence, the probability is 0.35
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At a high school football game, Mike bought 4 soft pretzels and 4 bottles of water for $15. Ling bought 3 soft pretzels and 2 bottles of water for $10. What is the cost of each item?
If Mike bought 4 "soft-pretzels" and 4 bottles of water for $15, Ling purchased 3 "soft-pretzels" and 2 bottles of water for $10, the each "soft-pretzels" cost $2.5 and each "water-bottle" cost 1.25.
Let the cost of a "soft-pretzel" be = $x and
Let the cost of a bottle of water be = $y,
We know that, Mike purchased 4 "soft-pretzels" and 4 bottles of water for $15,
Ling purchased 3 "soft-pretzels" and 2 bottles of water for $10,
So, the equations are :
⇒ 4x + 4y = 15 ...(1)
⇒ 3x + 2y = 10 ...(2)
We solve this by using substitution method:
Solving equation (2),
We get,
⇒ 3x + 2y = 10,
⇒ x = (10 - 2y)/3,
Now we substitute this expression for "x" in equation(1),
⇒ 4x + 4y = 15,
⇒ 4[(10 - 2y)/3] + 4y = 15,
⇒ y = 5/4,
Substituting this "y" into equation(2),
We get,
⇒ 3x + 2y = 10,
⇒ 3x + 2(5/4) = 10,
⇒ x = 5/2 = 2.5,
Therefore, cost of a soft pretzel is $2.5 and cost of a bottle of water is $1.25.
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need answer now please
The expression which are equals to 6⁻¹⁰ are as follow,
option A. (1 /6² )⁵ , Option b. 6⁻³ / 6⁷ , Option ( 6⁻⁵ )².
The expression is equal to,
6⁻¹⁰
Simplify all the given options to find the equivalent expression to 6⁻¹⁰.
(1 /6² )⁵
Apply law of exponent here,
= ( 1 / 6¹⁰)
= 6⁻¹⁰
Option A. is correct answer.
6⁻³ / 6⁷
Apply law of exponent we get,
= 6⁻³⁻⁷
= 6⁻¹⁰
Option B. is correct answer.
( 6⁵ × 6⁻³ )/ 6⁻⁸
= 6⁵⁻³⁺⁸
= 6¹⁰
It is not the correct answer.
( 6⁻⁵ )²
Apply law of exponent here
= 6⁻¹⁰
Option D. is the correct answer.
6⁻⁵ × 6²
= 6⁻³
It is not correct option.
Therefore, the expression equivalent to the given expression are option A. (1 /6² )⁵ , Option b. 6⁻³ / 6⁷ , Option ( 6⁻⁵ )².
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A processing machine crushes 31__
4
kilograms of dried fruits in 3__
4
minute. What is the rate, in kilograms per minute, at which the machine crushes dried fruits?
A. 3___
13
B. 16___
39
C. 2___
7
16
D. 4__
1
3
The rate at which the machine crushes dry fruit is option (D) 4 1/3 kilograms per minute.
To find the rate at which the machine crushes dry fruit, we need to divide the amount of fruit crushed by the time taken. We can convert the mixed number of 3 1/4 kilograms to an improper fraction as follows
3 1/4 = (3 x 4 + 1)/4 = 13/4
So the rate at which the machine crushes dry fruit is
rate = amount of fruit crushed / time taken
= (13/4) / (3/4)
= 13/4 x 4/3
= 13/3
Convert to mixed fraction
= 4 1/3
Therefore, the correct option is (D) 4 1/3
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The given question is incomplete, the complete question is:
A processing machine crushes 3 1/4 kilograms of dry fruits in 3/4 minute. What is the rate, in kilograms per minute, at which the machine crushes dry fruit? A. 3/13 B. 16/39 C. 2 7/16 D. 4 1/3
The point B lies on the segment AC.
Find the coordinates of B so that AB is 5/9 of AC
The coordinates of B so that AB is 5/9 of AC is (51/14, -10/7).
What is a coordinate?Coordinates are a pair of numbers which are used to determine the position of a point or a shape in a 2-dimensional plane.
To calculate the coordinates of B (x,y), so that AB is 5/9 of AC, we use the formula below
Formula:
For y coordinate = (my₂+ny₁)/(m+n)................... Equation 1Ferom the question,
Given:
m = 5n = 9y₁ = 5y₂ = -13Substitute these value into equation 1
y = [5(-13)+9(5)]/(9+5)y = -20/14y = -10/7Similarly for coordinate x we use the formula below
x = (mx₂+nx₁)/(m+n)............. Equation 2Where:
x₁ = -6x₂ = 21Substitute into equation 2
x = [5(21)+9(-6)]/(5+9)x = 51/14Hence, the coordinates of B is (51/14, -10/7).
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Uh whats 5 plus 2
i forgot
Answer: 7
Step-by-step explanation:
Please solve this as soon as possible!
The values of the trigonometric identities are;
sin θ = 4/5 = 0. 800
cos θ = 3/5 = 0. 600
tan θ = 4/3 = 1. 333
How to determine the valuesThere are six trigonometric identities;
sinecosinetangentcotangentsecant cosecantFor the secant identity, we have the ratio;
sec θ = hypotenuse/adjacent
Then, using the Pythagorean theorem, we have the the square of the hypotenuse is equal to the sum of the squares of the other two sides, then
5² = 3² + x²
x² = 25 - 9
x²= 16
find square root
x = 4
For the value of sin θ
sin θ = 4/5 = 0. 8000
For cosine ratio
cos θ = 3/5 = 0. 6000
for tangent ratio
tan θ = 4/3 = 1. 333
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Graph the inequality y is greater than or equal to one third times x plus one.
The graph shows a solid line that passes through negative 3 comma 0 and 0 comma 1, with shading above the line.
The graph shows a solid line that passes through negative 3 comma 0 and 0 comma 1, with shading below the line.
The graph shows a dashed line that passes through negative 3 comma 0 and 0 comma 1, with shading above the line.
The graph shows a dashed line that passes through negative 3 comma 0 and 0 comma 1, with shading below the line.
Answer:
Step-by-step explanation:
The inequality y ≥ (1/3)x + 1 represents all the points that lie on or above the line y = (1/3)x + 1.
To graph this line, we can first plot the y-intercept at (0, 1). From there, we can use the slope of (1/3) to find additional points on the line.
For example, if we move one unit to the right (x = 1), we would move up one-third units (y = 1 + 1/3), giving us the point (1, 4/3). Similarly, if we move two units to the right (x = 2), we would move up two-thirds units (y = 1 + 2/3), giving us the point (2, 5/3).
To indicate that the inequality includes points on the line, we use a solid line.
Finally, to determine which region to shade, we can test a point not on the line. For example, the point (0, 0) is below the line, so we shade the region above the line.
Therefore, the correct answer is: The graph shows a solid line that passes through negative 3 comma 0 and 0 comma 1, with shading above the line.
The transformation from green triangle to red triangle can be described as "a 9 unit slide to the right." It can also be written mathematically as `\left(x,\ y\right)`--> `\left(x+9,\ y\right)`. (Note: I used the minus sign twice and a greater than to make an arrow. Describe in words and in symbols the transformation from green triangle to blue triangle.
The transformation from green triangle to blue triangle is translation moved down by 6 units.
Given that,
Vertices of green triangle are (-3, 9), (-5, 4) and (2, 6)
Vertices of blue triangle are (-3, 3), (-5, -2) and (2, 0)
We can see that, x-coordinates of all the ordered pairs are same.
y-coordinates of all the ordered pairs are changed that is
(9-3)=6, (4-(-2))=6 and (6-0)=6
So, the triangles are slide down by 6 units.
Mathematically it is represented as (x, y-6)
Therefore, the transformation from green triangle to blue triangle is translation moved down by 6 units.
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Un tipo de queso se vende a 8. 99 por libra ¿cual es el costo de un pedazo de queso de 1. 76 libras?
The cost of a piece of cheese weighing 1.76 pounds at a cost of $8.99 per pound using unitary method is $15.86.
To use unitary method, we can set up a proportion that relates the cost of the cheese to its weight
Cost of cheese / Weight of cheese = Cost per unit of weight
We know that the cost per unit of weight is $8.99 per pound. To find the cost of a piece of cheese weighing 1.76 pounds, we can plug in the values we know and solve for the unknown
Cost of cheese / 1.76 pounds = $8.99 per pound
Multiplying both sides by 1.76 pounds, we get
Cost of cheese = $8.99 per pound × 1.76 pounds
Simplifying the right side, we get:
Cost of cheese = $15.8624
Rounding to two decimal places, the cost of the cheese is $15.86. Therefore, a piece of cheese weighing 1.76 pounds would cost $15.86.
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because each of n bits of a number x must be multiplied by each of n bits of a number y, the best big-o bound that any algorithm that multiplies two n-bit numbers can achieve is O(n+n)-O(n^2)
a. true
b. false
False. The best big-o bound that any algorithm that multiplies two n-bit numbers can achieve is O(n^2), not O(n+n) or O(2n).
An algorithm is a set of instructions or a procedure for solving a problem or performing a task. In computer science, an algorithm is typically a step-by-step process for solving a problem or performing a computation. Algorithms can be expressed in various forms, such as natural language, pseudocode, flowcharts, or programming languages. They are used in a wide range of applications, from simple arithmetic operations to complex data processing and artificial intelligence. The efficiency and correctness of an algorithm depend on various factors such as the input size, the data structure, and the computational complexity of individual operations.
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Because each of n bits of a number x must be multiplied by each of n bits of a number y, the best big-o bound that any algorithm that multiplies two n-bit numbers can achieve is O(n+n)-O(n^2
While it is true that each of n bits of a number x must be multiplied by each of n bits of a number y, it is possible to achieve a better big-o bound than O(n+n) or O(2n). The best-known algorithm for multiplying two n-bit numbers, the Karatsuba algorithm, achieves a big-o bound of O(n^log2(3)), which is faster than O(n^2).
Therefore, the statement that the best big-o bound that any algorithm that multiplies two n-bit numbers can achieve is O(n+n) or O(n^2) is false.
Main answer: b. false
The given statement implies that the best big-O bound for multiplying two n-bit numbers is O(n+n)-O(n^2), which simplifies to O(2n)-O(n^2) or simply O(n^2). However, this is not the best bound achievable for multiplying two n-bit numbers. The best known algorithm, the Karatsuba algorithm, has a time complexity of O(n^log2(3)), which is approximately O(n^1.585). This is faster than O(n^2) and thus, the statement is false.
The best big-O bound that any algorithm that multiplies two n-bit numbers can achieve is not O(n^2), but rather O(n^log2(3)), as demonstrated by the Karatsuba algorithm. Therefore, the given statement is false.
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Convert 0.009m to milli meters
Answer:
0.009 meters is equal to 9 millimeters.
HELP ASAP I WILL MARK BRAINLIEST IF CORRECT
Answer:
First problem:
Area of shaded region:
(1/6)π(9^2) - (1/2)(9)(4.5√3) = 7.4 m^2
Second problem:
Area of shaded region:
(1/3)π(6^2) - 2(1/2)(3)(3√3) = 22.1 cm^2
Given that x= 5.7 m and
θ = 47°, work out BC rounded to 3 SF.
Step-by-step explanation:
For a RIGHT triangle such as this :
Sin Φ = opposite leg / hypotenuse
sin (47) = AB/5.7
5.7 sin (47) = AB = 4.17 m
how the value of x is applied ?
justify your answer
a state accounting process in brief
The human body contains many glands, including the pituitary, thymus, and thyroid. The table below shows the functions of two of these glands.
Function
1. Associated with the immune system and is largest in size during teenage years
2. Produces hormones which are required for growth and various body functions
Which of the following matches correctly the names of the glands with their functions?
Pituitary—Function 1; Thyroid—Function 2
Thyroid—Function 1; Thymus—Function 2
Thymus—Function 1; Pituitary—Function 2
Pituitary—Function 1; Thymus—Function 2
Thymus—Function 1; Pituitary—Function 2 is the correct to depict the function of the glands, thymus is associated with the immune system, hence option C is correct.
Thymus associated with the immune system, it reaches its peak size during adolescence.
The pituitary produces hormones needed for different bodily activities, including development.
The pituitary gland is known as the "master gland" because it uses hormones to monitor and control a variety of body functions. Growth and sexual development is the function of this gland.
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Amanda's office has 40 employees.
The employees want to have a catered
dinner. They have found a company
that will provide what they need for $25
per person. Amanda knows that some
people will bring a guest. The company
has budgeted $1500 for this event. How
many guests can they invite? Assume the
price of $25 includes all taxes.
Write an equation for this problem.
Answer:
[tex]25x+1000=1500[/tex] which means [tex]x=20[/tex] guests
Step-by-step explanation:
The initial 40 employees cost 40*25 = $1000
So, we can set up the equation:
[tex]25x + 1000=1500[/tex] where x is the number of guests.
This means [tex]25x=500[/tex].
[tex]x=20[/tex]
9 + n = -2?
A. -11 B. -7 C. 2 D. 7
Answer: Answer is A. -11
Step-by-step explanation:
Try doing all the numbers ( The answer choices) minus 9.
-11 - 9 = -2
Jenise wants to find out if the students at her school
would support using money to buy new band uniforms.
Which survey will result in a random sample?
A. She asks each student on her bus.
B. She asks all brand members in the school.
C. She picks every fourth student that leaves the school on
Tuesday.
D. She picks 75 names at random, sends emails, and records
those that return.
If Jenise wants to find out if the students at her school would support using money to buy new band uniforms, the survey that will result in a random sample is D. She picks 75 names at random, sends emails, and records those that return.
What is a random sample?A random sample is a sample that gives each unit in the population an equal chance of participation or being selected.
A random sample involves selecting a subset of the population. The result of the sample survey is generalized on the population to each some conclusions about the population parameters.
Thus, the correct option is D because it involves a random selection.
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Amelia is going to invest $47,000 and leave it in an account for 5 years. Assuming the interest is compounded continuously, what interest rate, to the nearest tenth of a percent, would be required in order for Amelia to end up with $64,000?
The interest rate required in order for Amelia to end up with $64,000 assuming the interest is compounded continuously is 6.2%.
Given that,
Amelia is going to invest $47,000 and leave it in an account for 5 years.
Principal amount, P = $47,000
Time, t = 5 years
Final amount, A = $64,000
Interest is compounded continuously.
Final amount, A, can be calculated as,
A = P e^(rt)
64,000 = 47,000 e^(5r)
e^(5r) = 1.3617
Taking natural logarithms on both sides,
5r = ㏑ (1.3617)
r = 0.0617 ≈ 6.2%
Hence the interest rate is 6.2%.
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What is the approximate circumference of a circle that has a radius of 90? Use 3.14 for π and express your answer to the tenths place. fill in the blank
__
Answer:
565.2
Step-by-step explanation:
The circumference of a circle is given by
C = 2 * pi * r
C = 2 * (3.14) * 90
C =565.2
Answer:
565.2
Step-by-step explanation:
Given,
Radius ( r ) = 90
π = 3.14
To find : Circumference of a circle
Formula
Circumference of a circle = 2πr
Circumference of a circle
= 2 x 3.14 x 90
= 6.28 x 90
= 565.2
The square shown is dilated by a factor of 2. What is the area, in square units, of the dilated square?
Answer:
18
Step-by-step explanation:
To solve this problem, you could either do this two ways: solve for x immediately and then multiply it by 2, or you could multiply the equation by two and solve for x.
I will be using the first option.
Step 1: Solve for x
[tex]-2x+7=-4x+11\\\\[/tex] - We can set these equal to each other because a square has all sides congruent, which means that this side and all the others are equal to each other
[tex]-2x+2x+7=-4x+2x+11\\\\7=-2x+11[/tex]- We add 2x to both sides so we can isolate all the variables on one side and all the constants on one
[tex]7-11=-2x+11-11\\\\-4=-2x[/tex]- We do this so all the constants are on one side
[tex]\frac{-4}{-2}=\frac{-2x}{-2} \\\\2=x[/tex]- We divide by the coefficient of x so that we can fully isolate it
So now we have what x is, so we have to reinsert x into the equations and multiply it by itself to find the original area, after that we multiply it by 2.
[tex]-2x+7\\\\-2(2)+7\\\\-4+7\\\\3*3=9\\\\9*2=18[/tex]
PLEASE HELP!!!!
Complete the frequency table:
Method of Travel to School
Walk/Bike | Bus | Car | Row totals
Under age 15 | 0 | 0| 18| 165
Age 15 and above | 65 | 0 | 0| 195
Column totals | 152 | 110 | 98 |360
What percentage of students age 15 and above travel to school by bus? Round to the nearest whole percent.
A. 36%
B. 26%
C. 45%
D. 50%
reflected over y-axis, x-axis, or neither
1. B (-3,-7) B' (-7,-3)
2. D (5,-8) D' (5,8)
3. F (10,0) F' (-10,0)
pls hurry
Answer:
1. neither
2. x axis
3. y axis
Step-by-step explanation:
The planet Saturn has several moons, and they can be modeled accurately by spheres. Saturn’s largest moon, Titan, has a radius of about 2575 kilometers. What is the approximate surface area of Titan? Round your answer to the nearest tenth
Answer:
Step-by-step explanation:
The surface area of a sphere is given by the formula:
Surface Area = 4πr^2
where r is the radius of the sphere.
For Titan, with a radius of 2575 kilometers, the surface area would be:
Surface Area = 4π(2575)^2
Surface Area ≈ 8.34 x 10^7 square kilometers
Rounding to the nearest tenth, the surface area of Titan is approximately 8.3 x 10^7 square kilometers.
An actor invested some money at 9% simple interest, and $49,000 more than three times the amount at 10%. The total annual interest earned from the investment was $38,440. How much did he invest at each amount?
An actor invested some money at 9% simple interest, and $49,000 more than three times the amount at 10%. The total annual interest earned from the investment was $38,440. Then, the actor invested $307,000 at 10% simple interest.
Let's use the following variables to represent the amounts invested;
x; amount invested at 9% simple interest
3x + 49000: amount invested at 10% simple interest (as it is $49,000 more than three times the amount invested at 9%)
We know that the total annual interest earned from the investment was $38,440, so we can set up the following equation;
0.09x + 0.1(3x + 49000)
= 38440
Simplifying and solving for x, we get;
0.09x + 0.3x + 4900 = 38440
0.39x = 33540
x = 86000
So the actor invested $86,000 at 9% simple interest. Using this value, we can calculate the amount invested at 10%;
3x + 49000 = 3(86000) + 49000
= 307000
Therefore, the actor invested $307,000 amount.
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You will turn in the results of this activity for your assessment for this lesson.
Create a wrapping paper design that includes at least four of the following constructions:
a bisected angle
a perpendicular line drawn from a point not on a line to a line
a perpendicular line drawn through a given point on a given line
a quadrilateral with at least one pair of parallel lines
a segment bisected by a perpendicular line
two congruent angles
two congruent segments
two parallel lines, one of which is drawn through a given point
Your design should be8 and one-half inches by 11 inches (the size of a standard sheet of computer paper).
Number each element and create a key that names each element in your design. For example: Element 1: Two congruent segments. If several elements are combined in one figure, then number each element in that figure and describe each element on the key.
Create instructions, in your own words, describing how to create each element using only a compass and a straightedge.
Give your key and your instructions to a friend and see if they can recreate your wrapping paper design. If she can’t, then revise your key and instructions so that there is no room for confusion.
You will turn in the following:
a key describing each element
a wrapping paper design with the elements numbered
instructions for creating each element, written in your own words
The wrapping paper design could consist of a repeating pattern of quadrilaterals with at least one pair of parallel lines.
How to explain the quadrilateralInside each quadrilateral, there could be two congruent angles and two congruent segments. The segments could be bisected by perpendicular lines, creating a bisected angle within the quadrilateral.
In addition, there could be perpendicular lines drawn from a point not on a line to a line and perpendicular lines drawn through given points on given lines. These lines could intersect with the quadrilaterals in various ways, creating a dynamic and visually interesting design.
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Select the correct answer. A circle is described by the equation x2 + y2 + 14x + 2y + 14 = 0. What are the coordinates for the center of the circle and the length of the radius? A. (-7, -1), 36 units B. (7, 1), 36 units C. (7, 1), 6 units D. (-7, -1), 6 units
The center of the circle is (-7, -1) and the radius is the square root of 36, which is 6. So, correct option is D.
To find the center and radius of a circle given by its equation in the form of (x-a)² + (y-b)² = r², we need to convert the given equation to this standard form by completing the square for both x and y terms.
x² + y² + 14x + 2y + 14 = 0
(x² + 14x) + (y² + 2y) = -14
(x² + 14x + 49) + (y² + 2y + 1) = -14 + 49 + 1 // add and subtract the square of half the coefficient of x and y terms respectively
(x + 7)² + (y + 1)² = 36
Comparing with the standard form (x-a)² + (y-b)² = r², we can see that the center of the circle is (-7, -1) and the radius is the square root of 36, which is 6.
Therefore, the correct answer is option D, (-7, -1), 6 units.
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Kara's teacher divides her class of 20 students into 4 equally sized teams: the red team, the yellow team, the green team, and the blue team. She assigns each student to a team. What is the probability that Kara is on the red team?
The probability of Kara is on the red team among all four equally sized team is given by 0.03%.
Total number of students in class = 20
Number of equally sized team = 4
Since there are 4 equally sized teams and 20 students,
There are 20/4 = 5 students on each team.
Since each student is equally likely to be assigned to any of the four teams.
The probability of Kara being on the red team is ,
= Ratio of number of ways she can be assigned to red team to total number of possible assignments.
The number of ways Kara can be assigned to the red team is 5 since there are 5 students on the red team.
Total number of possible assignments is the number of ways to choose 5 students out of 20.
= ²⁰C₅
= 20! / (5! × 15!)
= 15,504
The probability that Kara is on the red team is,
⇒ P(Kara is on the red team) = 5/15,504
⇒ P(Kara is on the red team) ≈ 0.0003225
⇒ P(Kara is on the red team) ≈ 0.03%.
Therefore, the probability of the Kara is on the red team is equal to 0.03%.
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The diameter of Earth is about 7,920 miles. A satellite orbits 200 miles above Earth’s surface. Calculate the circumference of Earth and the distance the satellite travels in one orbit around Earth.
7,920 × 3.14 = 24,868.8, not the answer above. How is this right?
In the number 437. 981, what is the place value of the 3?
The place value of 3 in this number be ten.
What is place values?Place value is the basis of our entire number system. This is the system in which the position of a digit in a number determines its value.
The number 42,316 is different from 61,432 because the digits are in different positions.
What is number system?A number system is defined as a system of writing to express numbers. It is the mathematical notation for representing numbers of a given set by using digits or other symbols in a consistent manner. It provides a unique representation of every number and represents the arithmetic and algebraic structure of the figures.
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