The experimental probability of choosing a nickel based on 13 trials would be 4 / 13
How to find the experimental probability ?The experimental probability can be found by the formula ;
= ( ( Probability of picking a Nickel x Number of trials ) + 1 ) / 13 trials
Probability of picking a Nickel - 1 / 4
Number of trials - 13 trials
The experimental probability for Landon picking a Nickel on the 13th trial is :
= ( ( 1 / 4 x 12 ) + 1 ) / 13
= ( 3 + 1 ) / 13
= 4 / 13
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Can someone help me find the volume of the pentagonal pyramid
[tex] \: [/tex]
[tex] \rm{Height ( H ) = \bold{7.4m}}[/tex][tex] \: [/tex]
To find:-[tex] \textrm{Volume of pentagonal pyramid = ?}[/tex][tex] \: [/tex]
By using formula:-[tex] \color{gray}{ \bigstar} \blue {\boxed{ \rm{ \green{Volume \: of \: Pyramid = \frac{1}{3} Bh}}}}[/tex]
[tex] \: [/tex]
Solution:-[tex] \rm{Volume \: of \: Pyramid = \frac{1}{3} Bh} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:\rm \: = \frac{1}{3} \times 75 \times 7.4 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \rm = \frac{1} {\cancel{3} }\times \cancel{555 } \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \underline\color{darkgreen}\boxed{ \rm{ = 185}}[/tex]
[tex] \: [/tex]
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hope it helps! :)
Find the slope of the line shown below?
Triangle ABC is congruent to triangle DEF. If DE = 41, EF = 23, DF = 36, and BC = 4x − 7, what is x? Round to the nearest tenth.
A) 7.5
B) 8.0
C) 8.7
D) 10.8
According to given information, x is 7.5 to the nearest tenth.
What is Triangle?
In geometry, a triangle is a two-dimensional closed shape with three straight sides and three angles. It is formed by connecting three non-collinear points with line segments. The three points of a triangle are called its vertices, and the line segments connecting them are called its sides.
If triangles ABC and DEF are congruent, then their corresponding sides are equal in length. Therefore, we have:
AB = DE = 41
BC = EF = 23
AC = DF = 36
We are given that BC = 4x - 7, so we can set up the following equation:
4x - 7 = BC = EF = 23
Solving for x, we get:
4x = 30
x = 7.5
Therefore, according to given information x is 7.5 to the nearest tenth.
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HELP PLSSSSS!!!!!!!
Krystal throws a rappelling rope at a speed of 10 m/s down a 50 m cliff.
When will the rope hit the ground? Use the drop-down to put the correct order to solve for when the rope will hit the
ground.
With speed=10 m/s, the rope will hit ground after 3.36 seconds.
What exactly is speed?Speed is a measure of how fast an object is moving, usually measured in units of distance per unit time, such as meters per second (m/s) or kilometers per hour (km/h). It is a scalar quantity, meaning it only has magnitude and no direction.
Mathematically, speed is defined as the distance an object travels per unit time. The formula for calculating speed is:
Speed = Distance / Time
where Distance is the distance traveled by the object, and Time is the time taken to cover that distance.
here, we have,
Now,
To find when the rope will hit the ground, we can use the kinematic equation:
y = vi * t + (1/2) * a * t²
where:
y = 50 m (the height of the cliff)
vi = 10 m/s (the initial velocity of the rope)
a = 9.8 m/s² (the acceleration due to gravity, acting downward)
t = time it takes for the rope to hit the ground
We can solve for t by setting y=50 and solving for t:
50 = 10t + (1/2) * 9.8 * t²
50 = t(10 + 4.9t)
t = 50/14.9=3.36 s
Therefore, the rope will hit the ground after 3.36 seconds.
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9 inches of ribbon is needed for wrapping one present. How many presents can be wrapped with 8 yards of ribbon?
Answer: 32 presents can be wrapped with 8 yards of ribbon
Step-by-step explanation:
Convert yards to inches
1 yard = 36 inches
8 yards = 288 inches
Divide 288 inches by 9 inches
288/9 = 32
Answer: You can wrap 32 presents with 8 yards.
Step-by-step explanation:
So, first, you need to know how many inches are in a yard. There are 36 inches in 1 yard.
Then, do 36 inches times 8 yards to figure out how many yards are in 8 yards. So in 8 yards, there are 288 inches.
Finally, do 288 divided by 9 to figure out how many present you can wrap with 8 yards (288 inches).
You can wrap 32 presents with 8 yards.
I hope this helped!
Write an equation or proportion. Define the
variable/s. Solve and label the answer/s. The
measure of the smallest angle in a triangle is 40
degrees less than the measure of the largest angle
and 20 degrees less than the measure of the next
smallest angle. What is the measure of each
angle?
Answer:
Step-by-step explanation:
40-20 =20 then times 3 which is 60.
please help me out i need an actual answer
The answer of the given question based on the cost of mailing is , the cost of mailing a 2.5-ounce letter to Vienna, Austria would be $6.63 (rounded to the nearest cent).
What is Equation?An equation is mathematical statement that shows two expressions are equal. It contains variables, constants, and mathematical operations like addition, subtraction, multiplication, and division.
For example, a simple equation could be:
2x + 3 = 9
The equation y = 0.25x + 6.00 represents the cost y of mailing a letter to Vienna, Austria based on the weight x of the letter in ounces. The flat rate of $6.00 is represented by the constant term 6.00 in the equation, and the additional charge of $0.25 per ounce is represented by the coefficient of x, which is 0.25.
To use this equation to determine the cost of mailing a specific letter, you would need to know the weight of the letter in ounces. You could then substitute this value for x in the equation and solve for y, which would give you the cost of postage in dollars.
For example, if a letter weighs 2.5 ounces, you could plug in x = 2.5 into the equation:
y = 0.25(2.5) + 6.00
y = 0.625 + 6.00
y = 6.625
So the cost of mailing a 2.5-ounce letter to Vienna, Austria would be $6.63 (rounded to the nearest cent).
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What is the radical expression (6–√4)3
written in exponential form?
Responses
634
61
643
612
The radical expression (6–√4)3 written in exponential form is 612.
What is expression?Expression is a term used to describe the process of making clear or conveying one's thoughts, ideas, and feelings. It is a way of communicating with others and expressing oneself in a meaningful and effective manner. Expression can be done through verbal and non-verbal communication, including writing, art, music, dance, and other creative outlets. It can also be used to express emotions such as joy, sadness, fear, anger, and love. Expression is essential to healthy communication and can be a powerful tool for self-expression, personal growth, and development.
This is because raising a number to an exponent is the same as multiplying that number by itself the number of times specified by the exponent. In this case, the base number is 6, and the exponent is 12. When a number is multiplied by itself 12 times, it is referred to as an exponential expression. To convert the radical expression to an exponential expression, the radical needs to be converted to an exponent. The radical of 4 is 2, so the exponent is 12. This results in the answer 612.
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Test Prep While working at the school store, John sold a jacket for $40.00 and notebooks for $1.50 each. If he collected $92.50, how many notebooks did he sell?
Answer: 35
Step-by-step explanation:
So we already know he sold $40 worth jacket so lets subtract that from 92.50
92.50-40= 52.5
So he sold $52.5 worth of notebooks
since we know each notebook costs 1.50 all we have to do is divide
52.5 / 1.50 = 35
He sold 35 notebooks
it is 4/10 of a mile to john's house from frank's house. How much less than a mile is the distance from frank's house to john's house and then back to frank's house
The distance from frank's house to john's house and then back to frank's house is less than a mile by 1/5 units.
How do you figure out the overall distance?While travelling from one location to another and back again just multiplying the distance between the two places will give you the total distance travelled when travelling from one spot to another and returning to the beginning position.
The distance from frank's house to john's house = 4/10.
The distance back to Frank's house = 4/10.
Total distance = 4/10 + 4/10
Total distance = 8/10
The distance is thus,
1 - 8/10
Take the LCM:
(10 - 8) / 10
2/10 = 1/5
Hence, the distance from frank's house to john's house and then back to frank's house is less than a mile by 1/5 units.
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A kite is shown below.
Find the size of angle BCD.
A
117°
B
55°
D
C
PLEASE DO IT FOR 20 points
The angle measures are given as follows:
x = 118º.y = 35º.What are supplementary angles?Two angles are called supplementary when the sum of their measures is of 180º.
On a trapezoid, consecutive interior angles are supplementary, hence the pairs of supplementary angles are given as follows:
y and 145º.x and 62º.Hence the value of y is obtained as follows:
y + 145 = 180
y = 35º.
(as the two angles are supplementary we know that the sum of their measures is of 180º).
The value of x is obtained as follows:
x + 62 = 180
x = 118º.
(as the two angles are supplementary we know that the sum of their measures is of 180º).
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Given the formula y=12/x where y is mi/hr and x is hours find the speed (y) when x is 10 hours
Answer:
1.2 mi/hr
Step-by-step explanation:
y=12/x
y=12/10
y=1.2 mi/hr
Answer:
[tex]\huge\boxed{\sf y = 1.2 \ mph}[/tex]
Step-by-step explanation:
Given equation:[tex]\displaystyle y=\frac{12}{x}[/tex]
Given that, x = 10
So,
[tex]\displaystyle y=\frac{12}{10} \\\\y = 1.2 \ mph\\\\\rule[225]{225}{2}[/tex]
A right circular cylinder has the dimensions shown below.
r= 3 cm
h = 5 cm
Find the exact surface area of the cylinder.
Include correct units.
Show all your work.
help me pls i will give brainless
A jar contains three blue marbles ,seven red marbles and five green marbles,and you pick one without looking.What is the probability that the marble will be neither red nor blue
Answer:1 in 3 chance
Step-by-step explanation:
There are 5 green, 3 blue, and 7 red. Add them up 5+3+7=15
Then you put it into a fraction [tex]\frac{5}{15} =\frac{1}{3} \\[/tex]
1 over 3 is your answer
The question is in the image
the positive value of "x" for the given quadratic equation will be 5.
What is a Quadratic equation?ax²+bx+c=0, with a not, equals 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem. The answer could be simple or complicated.
Given a quadratic equation, √(4x² - 4x + 1) = 9
Simplifying the value of the given equation to calculate the value of the variable "x",
Equation,
=> √(4x² - 4x + 1) = 9
Square both sides
=> (4x² - 4x + 1) = 81
=> 4x² - 4x - 80 = 0
Divide by 4 into both sides of the equation,
=> x² - x -20 = 0
Simplifying the equation using the factorization method,
=> x² - 5x + 4x - 20 = 0
=> x(x - 5) + 4(x - 5) = 0
=> x = -4
=> x = 5
Therefore, the positive value of "x" for the given quadratic equation will be 5.
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2q+3.07=7.27 what is q
Answer:
q=2.1
Step-by-step explanation:
2q+3.07=7.27
take away 3.07 from both sides
2q=4.20
divide both sides by 2
q=2.10
q=2.1
The two triangles in the diagram are similar.
There are two possible values of x.
Work out each of these values.
state both assumptions* you make in your working.
In this case, the equation is 6/2 = x/3, so x = 6/2 * 3/1 = 9/2.Therefore, the two possible values of x are 11/6 and 9/2.
What are corresponding angles?Corresponding angles are angles that have the same relative position when two parallel lines are cut by a transversal line. When two parallel lines are cut by a transversal, corresponding angles are the same size. Corresponding angles are also known as vertically opposite angles.
In order to determine the value of x, we must assume that the two triangles in the diagram are similar. This means that the corresponding angles are equal and the corresponding sides are proportional. We will also assume that the angles of the triangle are in degrees and the sides are in the same unit of length.
Using the properties of similar triangles, we can calculate the value of x. We start by looking at the given angles, which are both 60°. Since the sides are proportional, we can set up a proportion equation between the two sides. We will use the side lengths given in the diagram to solve the proportion equation.
The proportion equation is: 11/3 = x/2.
Solving this equation for x, we get x = 11/3 * 2/1, which simplifies to x = 11/6.
We can also use the same equation to solve for x using the second given side length, which is 6. In this case, the equation is 6/2 = x/3, so x = 6/2 * 3/1 = 9/2.
Therefore, the two possible values of x are 11/6 and 9/2.
* The assumptions that I made in my working are that the two triangles in the diagram are similar and that the angles are measured in degrees and the sides are measured in the same unit of length.
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Equivalent ratios
Problem
Select three ratios that are equivalent to 8:5
Choose 3 answers:
A
16:10
B
50:80
C
48:30
D
32:20
E
64:35
Answer: Three equivalent ratios of 8 : 5 are 16 : 10, 24 : 15 and 32 : 20.
Step-by-step explanation:
Please help urgently! Find all the missing angles in the diagram below. Explain how you used two different angle theories to find at least two missing angles.
The requried measures of angles a, b, c, and d are 97°, 15°, 68°, and 68° respectively.
What is the angle?Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.
Here,
From the figure,
The calculation of the unknown angles is as follows,
112° and ∠d are supplementary angles.
So,
112 + ∠d = 180
∠d = 180 - 112
∠d = 68°
97° and angle a are corresponding angles, so
∠a = 97°.
112 and ∠c are also supplementary angles.
112 + ∠c = 180
∠c = 68°
Now,
∠a + ∠b = 112
∠a + 97 = 112
∠a = 15°
Thus, the requried measure of angles a, b, c, and d are 97°, 15°, 68° and 68°.
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The technician at the store worked on the computer for 5.5 hours and charged him $109 for parts. The total was $576.50. What was the cost of labor, per hour?
Answer:
$85.00
Step-by-step explanation:
Let's first subtract the cost of the parts from the total to find the cost of the labor:
Cost of labor = Total cost - Cost of parts
Cost of labor = $576.50 - $109
Cost of labor = $467.50
We know that the technician worked for 5.5 hours, so we can find the cost of labor per hour by dividing the cost of labor by the number of hours:
Cost of labor per hour = Cost of labor / Number of hours
Cost of labor per hour = $467.50 / 5.5
Cost of labor per hour = $85
Therefore, the cost of labor per hour is $85.
Give an example of data that would show direct and positive correlation explain in one to two sentences the data and why it’s direct and positive correlation
The relationship between hours worked and income earned is an example of data that shows a direct and positive correlation. As the number of hours worked increases, so does the amount of money earned. This is a direct correlation because the variables (hours worked and earnings) are positively related; as one variable rises, so does the other. The correlation is positive because the relationship between the variables is directional, i.e., as one variable increases, so does the other.
Answer:
Step-by-step explanation:
An example of data that would show direct and positive correlation is the relationship between the number of hours studied for an exam and the grade received on the exam. As the number of hours studied increases, the grade received on the exam also increases, indicating a direct and positive correlation between the two variables.
A company estimates that 0.8% of their products will fail after the original warranty period but within 2 years of the purchase, with a replacement cost of $50.
If they offer a 2-year extended warranty for $7, what is the company's expected value of each warranty sold? Round your answer to the nearest cent.
Answer:
The expected value of each warranty sold is $23.8.
Use the Simple Interest formula to find the simple interest. (l=prt)
I need help! Please include an explanation.
Based on the information in the graph, the perimeter of the figure would be 48.
How to find the perimeter of the figure?To find the perimeter of the figure we must add the value of all the sides. In this case, this figure has 8 sides. However, in essence it is a rectangle because all the angles are 90°, so we could assume that the sides on the right add up to 6 as the side on the left. Also the bottom sides would add up to 18 like the top.
According to the above, we could infer that the perimeter of the figure is:
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Use the model below to calculate 2/3 x 3/4
Q.3. Dennis charges $1.75 for gasoline plus $7.50 per hour for mowing lawns. Which inequality
represents x, the number of hours Dennis must work to earn at least $100?
A. 1.75x+7.50 ≥ 100
B. 7.50x+1.75 ≥ 100
C. 1.75x+7.50 ≤ 100
D. 7.50x +1.75 ≤ 100
Answer:
. 1.75x+7.50 ≥ 100
Step-by-step explanation:
Question 1
ABCD is a rhombus and ADC = 50°. Find DAO. Show your work.
The measurement of angle DAO in the given rhombus is 40°
What is rhombus?A rhombus is a quadrilateral with both pairs of opposite sides parallel and all sides the same length, i.e., an equilateral parallelogram. The word rhombus is sometimes used instead of rhombus.
Given that, ABCD is a rhombus and ADC = 50°. we need to find DAO.
Please refer to the figure attached
We know that, the diagonals of the rhombus bisects at right angle,
Therefore,
AOD is a right-angled triangle.
We know that, the sum of the acute angles of a right-angled triangle is 90°
Therefore,
∠ ADC + ∠ DAO = 90°
∠ DAO = 90° - 50°
∠ DAO = 40°
Hence, the measurement of angle DAO in the given rhombus is 40°
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what is 92199+20923+29290+83292+2819+99279+38471+37814
Answer:404087
Step-by-step explanation:
use the calculator frfr
Answer:
404087
Step-by-step explanation:
Describe the difference between simple and compound interest.
A. Simple interest is interest computed on the original principal as well as on any accumulated interest. Compound interest involves interest calculated only on the principal.
B.Simple interest involves interest calculated only on the principal. Compound interest is interest computed only on the accumulated interest.
C.Simple interest involves interest calculated only on the principal. Compound interest is interest computed on the original principal as well as on any accumulated interest.
D.There is no difference between simple and compound interest.
Answer:
C. Simple interest involves interest calculated only on the principal. Compound interest is interest computed on the original principal as well as on any accumulated interest.
Step-by-step explanation: